From 8070dc963753142bb86c4ed698d91fd623ed28e7 Mon Sep 17 00:00:00 2001 From: ziejd2 Date: Thu, 28 Sep 2017 15:04:40 -0500 Subject: BNW using Octave instead of Matlab. This version of BNW should perform the same as the original version. The only difference is that it uses Octave instead of Matlab when running BayesNet Toolbox during parameter learning. I am calling this BNW_1.02. It can be accessed at: compbio.uthsc.edu/BNW_1.02 --- sourcecodes/BNW_workflow_net1.htm | 6 +- sourcecodes/add_evd.php | 14 +- sourcecodes/add_evd.php~ | 204 + sourcecodes/add_evd_example.php | 14 +- sourcecodes/add_evd_example.php~ | 204 + sourcecodes/add_inv.php | 14 +- sourcecodes/add_inv.php~ | 262 + sourcecodes/add_inv_example.php | 14 +- sourcecodes/add_inv_example.php~ | 251 + sourcecodes/bnt-master/#ChangeLog.txt# | 35 + sourcecodes/bnt-master/BNT/@assocarray/CVS/Entries | 3 + .../bnt-master/BNT/@assocarray/CVS/Repository | 1 + sourcecodes/bnt-master/BNT/@assocarray/CVS/Root | 1 + .../bnt-master/BNT/@assocarray/assocarray.m | 10 + sourcecodes/bnt-master/BNT/@assocarray/subsref.m | 15 + .../bnt-master/BNT/CPDs/@boolean_CPD/CVS/Entries | 2 + .../BNT/CPDs/@boolean_CPD/CVS/Repository | 1 + .../bnt-master/BNT/CPDs/@boolean_CPD/CVS/Root | 1 + .../bnt-master/BNT/CPDs/@boolean_CPD/boolean_CPD.m | 179 + .../BNT/CPDs/@deterministic_CPD/CVS/Entries | 2 + 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mode 100644 sourcecodes/data/example_time_series/old/TEbrun_evidencemodified.sh create mode 100644 sourcecodes/data/example_time_series/old/TEbrun_initialstructure.sh create mode 100644 sourcecodes/data/examplecar/old/OVIrun_evidencemodified.sh create mode 100644 sourcecodes/data/examplecar/old/OVIrun_initialstructure.sh create mode 100644 sourcecodes/data/examplecar15node/old/MtXrun_initialstructure.sh create mode 100644 sourcecodes/data/examplezoo/old/fSfrun_initialstructure.sh create mode 100644 sourcecodes/data/old/Backupfiles/evidencemodified create mode 100644 sourcecodes/data/old/Backupfiles/initialstructure create mode 100644 sourcecodes/data/old/Backupfiles/newintervention create mode 100644 sourcecodes/data/old/Backupfiles/temp_evidence_file create mode 100644 sourcecodes/data/old/Backupfiles/temp_intervention_file create mode 100644 sourcecodes/data/old/Backupfiles/temp_shell_file_initial_structure create mode 100644 sourcecodes/data/old/evidencemodified create mode 100644 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create mode 100644 sourcecodes/run_octave_evd~ create mode 100644 sourcecodes/run_octave_inv create mode 100644 sourcecodes/run_octave_inv~ create mode 100644 sourcecodes/run_octave~ create mode 100644 sourcecodes/runmat.sh.bk create mode 100644 sourcecodes/runmat_evd.sh.bk create mode 100644 sourcecodes/runmat_inv.sh.bk (limited to 'sourcecodes') diff --git a/sourcecodes/BNW_workflow_net1.htm b/sourcecodes/BNW_workflow_net1.htm index 2b81a60e..ae00ad80 100644 --- a/sourcecodes/BNW_workflow_net1.htm +++ b/sourcecodes/BNW_workflow_net1.htm @@ -292,7 +292,7 @@ ul

This tutorial provides -an overview of using BNW to build a Bayesian network model from a dataset and use the network to make predictions. The dataset used in this tutorial is a synthetic example of a genetic dataset that has a total of 8 variables. Two of the variables are genotypes labeled Geno1 and Geno2, and the remaining 6 variables are gene expression levels or other quantitative traits that are labeled Trait1 to Trait6. The dataset is available here.

The data file is formatted according to the guidelines on the BNW help page. The first row of the file contains the names of the variables and the remaining rows contain the data for each sample of the dataset. The genotypes (Geno1 and Geno2), which are the only discrete variables in the network, are the leftmost variables in the input file and are integer values (1 and 2) for all of the samples. The quantitative traits are continuous variables, and, therefore, all contain a "." in at least one of the samples.

+an overview of using BNW to build a Bayesian network model from a dataset and use the network to make predictions. The dataset used in this tutorial is a synthetic example of a genetic dataset that has a total of 8 variables. Two of the variables are genotypes labeled Geno1 and Geno2, and the remaining 6 variables are gene expression levels or other quantitative traits that are labeled Trait1 to Trait6. The dataset is available here.

The data file is formatted according to the guidelines on the BNW help page. The first row of the file contains the names of the variables and the remaining rows contain the data for each sample of the dataset. The genotypes (Geno1 and Geno2), which are the only discrete variables in the network, are the leftmost variables in the input file and are integer values (1 and 2) for all of the samples. The quantitative traits are continuous variables, and, therefore, all contain a "." in at least one of the samples.

1. Structure learning using default options

@@ -322,7 +322,7 @@ normal'>In order to test if edges present the single best scoring network are conserved across high scoring networks. We can modify the structure learning settings to get identify the structures of many high scoring networks and perform model averaging over these structures. To do this, return to the BNW home page, select Learn a network model from data, and upload the datafile. Instead of using the default settings, select Go to structure learning settings and the BNW structural constraint interface. A more detailed overview of use of the structural constraint interface is provided in another tutorial, but, here, we will investigate the impact of modifying some of the structure learning settings shown below:


+line-height:115%;font-family:"Arial","sans-serif";mso-no-proof:yes'>In order to test if edges present the single best scoring network are conserved across high scoring networks. We can modify the structure learning settings to get identify the structures of many high scoring networks and perform model averaging over these structures. To do this, return to the BNW home page, select Learn a network model from data, and upload the datafile. Instead of using the default settings, select Go to structure learning settings and the BNW structural constraint interface. A more detailed overview of use of the structural constraint interface is provided in another tutorial, but, here, we will investigate the impact of modifying some of the structure learning settings shown below:


@@ -356,7 +356,7 @@ normal'>
To make predictions with the network, we will use the structure learned after model averaging of the top 100 highest scoring networks. First, we will use the model to compare the expected values for nodes in the network based on observed genotypes. For these predictions, we will keep the prediction in evidence mode. The difference between evidence and intervention modes is discussed in the BNW FAQ page. To use the model to make predictions based on Geno1, click on one of the blue bars in the Geno1 node and enter 1 or 2 to indicate which genotype value should be used to predict the values of the other network nodes. In the figure below, Geno1 is outlined in red and state 2 has a 100% probability, indicating that the value of this node has been entered as evidence. The red lines in the figure show the predicted distributions of the nodes after this evidence is known and can be compared with the blue lines which show the distributions for variables using the original data.


+line-height:115%;font-family:"Arial","sans-serif";mso-no-proof:yes'>
To make predictions with the network, we will use the structure learned after model averaging of the top 100 highest scoring networks. First, we will use the model to compare the expected values for nodes in the network based on observed genotypes. For these predictions, we will keep the prediction in evidence mode. The difference between evidence and intervention modes is discussed in the BNW FAQ page. To use the model to make predictions based on Geno1, click on one of the blue bars in the Geno1 node and enter 1 or 2 to indicate which genotype value should be used to predict the values of the other network nodes. In the figure below, Geno1 is outlined in red and state 2 has a 100% probability, indicating that the value of this node has been entered as evidence. The red lines in the figure show the predicted distributions of the nodes after this evidence is known and can be compared with the blue lines which show the distributions for variables using the original data.


diff --git a/sourcecodes/add_evd.php b/sourcecodes/add_evd.php index 5c55f8b9..cba58632 100644 --- a/sourcecodes/add_evd.php +++ b/sourcecodes/add_evd.php @@ -188,15 +188,15 @@ else } - $file1="./data/".$keyval."run_evidencemodified.sh"; - $initiallines=file_get_contents("./data/temp_evidence_file"); - $all_lines="$initiallines"."$keyval\nfi\nexit"; +// $file1="./data/".$keyval."run_evidencemodified.sh"; +// $initiallines=file_get_contents("./data/temp_evidence_file"); +// $all_lines="$initiallines"."$keyval\nfi\nexit"; - $fp = fopen($file1,"w"); - fwrite($fp, "$all_lines\n"); - fclose($fp); +// $fp = fopen($file1,"w"); +// fwrite($fp, "$all_lines\n"); +// fclose($fp); //execute shell script for matlab - shell_exec('./runmat_evd.sh '.$keyval); + shell_exec('./run_octave_evd '.$keyval); ?> diff --git a/sourcecodes/add_evd_example.php b/sourcecodes/add_evd_example.php index 1c6a8256..af97c030 100644 --- a/sourcecodes/add_evd_example.php +++ b/sourcecodes/add_evd_example.php @@ -188,15 +188,15 @@ else } - $file1="./data/".$keyval."run_evidencemodified.sh"; - $initiallines=file_get_contents("./data/temp_evidence_file"); - $all_lines="$initiallines"."$keyval\nfi\nexit"; +// $file1="./data/".$keyval."run_evidencemodified.sh"; +// $initiallines=file_get_contents("./data/temp_evidence_file"); +// $all_lines="$initiallines"."$keyval\nfi\nexit"; - $fp = fopen($file1,"w"); - fwrite($fp, "$all_lines\n"); - fclose($fp); +// $fp = fopen($file1,"w"); +// fwrite($fp, "$all_lines\n"); +// fclose($fp); //execute shell script for matlab - shell_exec('./runmat_evd.sh '.$keyval); + shell_exec('./run_octave_evd '.$keyval); ?> diff --git a/sourcecodes/add_inv.php b/sourcecodes/add_inv.php index 77e0f0ef..69dab328 100644 --- a/sourcecodes/add_inv.php +++ b/sourcecodes/add_inv.php @@ -188,17 +188,17 @@ structure_change($keyval); - $file1="./data/".$keyval."run_newintervention.sh"; - $initiallines=file_get_contents("./data/temp_intervention_file"); - $all_lines="$initiallines"."$keyval\nfi\nexit"; +// $file1="./data/".$keyval."run_newintervention.sh"; +// $initiallines=file_get_contents("./data/temp_intervention_file"); +// $all_lines="$initiallines"."$keyval\nfi\nexit"; - $fp = fopen($file1,"w"); - fwrite($fp, "$all_lines\n"); - fclose($fp); +// $fp = fopen($file1,"w"); +// fwrite($fp, "$all_lines\n"); +// fclose($fp); //execute shell script for matlab // $cmd="./runmat_inv.sh $keyval"; // system($cmd); -shell_exec('./runmat_inv.sh '.$keyval); +shell_exec('./run_octave_inv '.$keyval); diff --git a/sourcecodes/add_inv.php~ b/sourcecodes/add_inv.php~ new file mode 100644 index 00000000..877b4a9a --- /dev/null +++ b/sourcecodes/add_inv.php~ @@ -0,0 +1,262 @@ + %s;\n",$ii,$j); + + + } + } + + +} +fwrite($fout,"$endstring"); + +?> + diff --git a/sourcecodes/add_inv_example.php b/sourcecodes/add_inv_example.php index 93c70c8d..c3514122 100644 --- a/sourcecodes/add_inv_example.php +++ b/sourcecodes/add_inv_example.php @@ -188,17 +188,17 @@ structure_change($keyval); - $file1="./data/".$keyval."run_newintervention.sh"; - $initiallines=file_get_contents("./data/temp_intervention_file"); - $all_lines="$initiallines"."$keyval\nfi\nexit"; +// $file1="./data/".$keyval."run_newintervention.sh"; +// $initiallines=file_get_contents("./data/temp_intervention_file"); +// $all_lines="$initiallines"."$keyval\nfi\nexit"; - $fp = fopen($file1,"w"); - fwrite($fp, "$all_lines\n"); - fclose($fp); +// $fp = fopen($file1,"w"); +// fwrite($fp, "$all_lines\n"); +// fclose($fp); //execute shell script for matlab // $cmd="./runmat_inv.sh $keyval"; // system($cmd); -shell_exec('./runmat_inv.sh '.$keyval); +shell_exec('./run_octave_inv '.$keyval); diff --git a/sourcecodes/add_inv_example.php~ b/sourcecodes/add_inv_example.php~ new file mode 100644 index 00000000..93c70c8d --- /dev/null +++ b/sourcecodes/add_inv_example.php~ @@ -0,0 +1,251 @@ + %s;\n",$row_name,$col_name); + + + } + } + + +} +fwrite($fout,"$endstring"); + +?> + diff --git a/sourcecodes/bnt-master/#ChangeLog.txt# b/sourcecodes/bnt-master/#ChangeLog.txt# new file mode 100644 index 00000000..3461a21c --- /dev/null +++ b/sourcecodes/bnt-master/#ChangeLog.txt# @@ -0,0 +1,35 @@ +- 19 Oct 97 murphyk + +* BNT\CPDs\@noisyor_CPD\CPD_to_CPT.m: 2nd half of the file is a repeat +of the first half and needs to be deleted. + +- 17 Oct 07 murphyk + +* Updated subv2ind and ind2subv in KPMtools to Tom Minka's implementation. +His ind2subv is faster (vectorized), but I had to modify it so it +matched the behavior of my version when called with siz=[]. +His subv2inv is slightly simpler than mine because he does not treat +the siz=[2 2 ... 2] case separately. +Note: there is now no need to ever use the C versions of these +functions (or any others, for that matter). + +* removed BNT/add_BNT_to_path since no longer needed. + +- 4 Oct 07 murphyk + +* moved code from sourceforge to UBC website, made version 1.0.4 + +* @pearl_inf_engine/pearl_inf_engine line 24, default +argument for protocol changed from [] to 'parallel'. +Also, changed private/parallel_protocol so it doesn't write to an +empty file id (Matlab 7 issue) + +* added foptions (Matlab 7 issue) + +* changed genpathKPM to exclude svn. Put it in toplevel directory to +massively simplify the installation process. + + +-------------------------------------- +For changes to the sourceforge version, +culminating in version 1.0.3, see ChangeLog.Sourceforge.txt. diff --git a/sourcecodes/bnt-master/BNT/@assocarray/CVS/Entries b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Entries new file mode 100644 index 00000000..dc217e2f --- /dev/null +++ b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Entries @@ -0,0 +1,3 @@ +/assocarray.m/1.1.1.1/Wed May 29 15:59:52 2002// +/subsref.m/1.1.1.1/Wed Aug 4 19:36:30 2004// +D diff --git a/sourcecodes/bnt-master/BNT/@assocarray/CVS/Repository b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Repository new file mode 100644 index 00000000..258fe401 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/@assocarray diff --git a/sourcecodes/bnt-master/BNT/@assocarray/CVS/Root b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/@assocarray/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/@assocarray/assocarray.m b/sourcecodes/bnt-master/BNT/@assocarray/assocarray.m new file mode 100644 index 00000000..84f96361 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/@assocarray/assocarray.m @@ -0,0 +1,10 @@ +function A = assocarray(keys, vals) +% ASSOCARRAY Make an associative array +% function A = assocarray(keys, vals) +% +% keys{i} is the i'th string, vals{i} is the i'th value. +% After construction, A('foo') will return the value associated with foo. + +A.keys = keys; +A.vals = vals; +A = class(A, 'assocarray'); diff --git a/sourcecodes/bnt-master/BNT/@assocarray/subsref.m b/sourcecodes/bnt-master/BNT/@assocarray/subsref.m new file mode 100644 index 00000000..12673106 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/@assocarray/subsref.m @@ -0,0 +1,15 @@ +function val = subsref(A, S) +% SUBSREF Subscript reference for an associative array +% A('foo') will return the value associated with foo. +% If there are multiple identicaly keys, the first match is returned. +% Currently the search is sequential. + +i = 1; +while i <= length(A.keys) + if strcmp(S.subs{1}, A.keys{i}) + val = A.vals{i}; + return; + end + i = i + 1; +end +error(['can''t find ' S.subs{1}]) diff --git a/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Entries new file mode 100644 index 00000000..06c13c68 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Entries @@ -0,0 +1,2 @@ +/boolean_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Repository new file mode 100644 index 00000000..d57d477d --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@boolean_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/boolean_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/boolean_CPD.m new file mode 100644 index 00000000..3b35788f --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@boolean_CPD/boolean_CPD.m @@ -0,0 +1,179 @@ +function CPD = boolean_CPD(bnet, self, ftype, fname, pfail) +% BOOLEAN_CPD Make a tabular CPD representing a (noisy) boolean function +% +% CPD = boolean_cpd(bnet, self, 'inline', f) uses the inline function f +% to specify the CPT. +% e.g., suppose X4 = X2 AND (NOT X3). Then we can write +% bnet.CPD{4} = boolean_CPD(bnet, 4, 'inline', inline('(x(1) & ~x(2)')); +% Note that x(1) refers pvals(1) = X2, and x(2) refers to pvals(2)=X3. +% +% CPD = boolean_cpd(bnet, self, 'named', f) assumes f is a function name. +% f can be built-in to matlab, or a file. +% e.g., If X4 = X2 AND X3, we can write +% bnet.CPD{4} = boolean_CPD(bnet, 4, 'named', 'and'); +% e.g., If X4 = X2 OR X3, we can write +% bnet.CPD{4} = boolean_CPD(bnet, 4, 'named', 'any'); +% +% CPD = boolean_cpd(bnet, self, 'rnd') makes a random non-redundant bool fn. +% +% CPD = boolean_CPD(bnet, self, 'inline'/'named', f, pfail) +% will put probability mass 1-pfail on f(parents), and put pfail on the other value. +% This is useful for simulating noisy boolean functions. +% If pfail is omitted, it is set to 0. +% (Note that adding noise to a random (non-redundant) boolean function just creates a different +% (potentially redundant) random boolean function.) +% +% Note: This cannot be used to simulate a noisy-OR gate. +% Example: suppose C has parents A and B, and the +% link of A->C fails with prob pA and the link B->C fails with pB. +% Then the noisy-OR gate defines the following distribution +% +% A B P(C=0) +% 0 0 1.0 +% 1 0 pA +% 0 1 pB +% 1 1 pA * PB +% +% By contrast, boolean_CPD(bnet, C, 'any', p) would define +% +% A B P(C=0) +% 0 0 1-p +% 1 0 p +% 0 1 p +% 1 1 p + + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = tabular_CPD(bnet, self); + return; +elseif isa(bnet, 'boolean_CPD') + % This might occur if we are copying an object. + CPD = bnet; + return; +end + +if nargin < 5, pfail = 0; end + +ps = parents(bnet.dag, self); +ns = bnet.node_sizes; +psizes = ns(ps); +self_size = ns(self); + +psucc = 1-pfail; + +k = length(ps); +switch ftype + case 'inline', f = eval_bool_fn(fname, k); + case 'named', f = eval_bool_fn(fname, k); + case 'rnd', f = mk_rnd_bool_fn(k); + otherwise, error(['unknown function type ' ftype]); +end + +CPT = zeros(prod(psizes), self_size); +ndx = find(f==0); +CPT(ndx, 1) = psucc; +CPT(ndx, 2) = pfail; +ndx = find(f==1); +CPT(ndx, 2) = psucc; +CPT(ndx, 1) = pfail; +if k > 0 + CPT = reshape(CPT, [psizes self_size]); +end + +clamp = 1; +CPD = tabular_CPD(bnet, self, CPT, [], clamp); + + + +%%%%%%%%%%%% + +function f = eval_bool_fn(fname, n) +% EVAL_BOOL_FN Evaluate a boolean function on all bit vectors of length n +% f = eval_bool_fn(fname, n) +% +% e.g. f = eval_bool_fn(inline('x(1) & x(3)'), 3) +% returns 0 0 0 0 0 1 0 1 + +ns = 2*ones(1, n); +f = zeros(1, 2^n); +bits = ind2subv(ns, 1:2^n); +for i=1:2^n + f(i) = feval(fname, bits(i,:)-1); +end + +%%%%%%%%%%%%%%% + +function f = mk_rnd_bool_fn(n) +% MK_RND_BOOL_FN Make a random bit vector of length n that encodes a non-redundant boolean function +% f = mk_rnd_bool_fn(n) + +red = 1; +while red + f = sample_discrete([0.5 0.5], 2^n, 1)-1; + red = redundant_bool_fn(f); +end + +%%%%%%%% + + +function red = redundant_bool_fn(f) +% REDUNDANT_BOOL_FN Does a boolean function depend on all its input values? +% r = redundant_bool_fn(f) +% +% f is a vector of length 2^n, representing the output for each bit vector. +% An input is redundant if there is no assignment to the other bits +% which changes the output e.g., input 1 is redundant if u(2:n) s.t., +% f([0 u(2:n)]) <> f([1 u(2:n)]). +% A function is redundant it it has any redundant inputs. + +n = log2(length(f)); +ns = 2*ones(1,n); +red = 0; +for i=1:n + ens = ns; + ens(i) = 1; + U = ind2subv(ens, 1:2^(n-1)); + U(:,i) = 1; + f1 = f(subv2ind(ns, U)); + U(:,i) = 2; + f2 = f(subv2ind(ns, U)); + if isequal(f1, f2) + red = 1; + return; + end +end + + +%%%%%%%%%% + +function [b, iter] = rnd_truth_table(N) +% RND_TRUTH_TABLE Construct the output of a random truth table s.t. each input is non-redundant +% b = rnd_truth_table(N) +% +% N is the number of inputs. +% b is a random bit string of length N, representing the output of the truth table. +% Non-redundant means that, for each input position k, +% there are at least two bit patterns, u and v, that differ only in the k'th position, +% s.t., f(u) ~= f(v), where f is the function represented by b. +% We use rejection sampling to ensure non-redundancy. +% +% Example: b = [0 0 0 1 0 0 0 1] is indep of 3rd input (AND of inputs 1 and 2) + +bits = ind2subv(2*ones(1,N), 1:2^N)-1; +redundant = 1; +iter = 0; +while redundant && (iter < 4) + iter = iter + 1; + b = sample_discrete([0.5 0.5], 1, 2^N)-1; + redundant = 0; + for i=1:N + on = find(bits(:,i)==1); + off = find(bits(:,i)==0); + if isequal(b(on), b(off)) + redundant = 1; + break; + end + end +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Entries new file mode 100644 index 00000000..eb6be4f0 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Entries @@ -0,0 +1,2 @@ +/deterministic_CPD.m/1.1.1.1/Mon Oct 7 13:26:36 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Repository new file mode 100644 index 00000000..fe1e84b5 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@deterministic_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/deterministic_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/deterministic_CPD.m new file mode 100644 index 00000000..f44b6545 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@deterministic_CPD/deterministic_CPD.m @@ -0,0 +1,59 @@ +function CPD = deterministic_CPD(bnet, self, fname, pfail) +% DETERMINISTIC_CPD Make a tabular CPD representing a (noisy) deterministic function +% +% CPD = deterministic_CPD(bnet, self, fname) +% This calls feval(fname, pvals) for each possible vector of parent values. +% e.g., suppose there are 2 ternary parents, then pvals = +% [1 1], [2 1], [3 1], [1 2], [2 2], [3 2], [1 3], [2 3], [3 3] +% If v = feval(fname, pvals(i)), then +% CPD(x | parents=pvals(i)) = 1 if x==v, and = 0 if x<>v +% e.g., suppose X4 = X2 AND (NOT X3). Then +% bnet.CPD{4} = deterministic_CPD(bnet, 4, inline('((x(1)-1) & ~(x(2)-1)) + 1')); +% Note that x(1) refers pvals(1) = X2, and x(2) refers to pvals(2)=X3 +% See also boolean_CPD. +% +% CPD = deterministic_CPD(bnet, self, fname, pfail) +% will put probability mass 1-pfail on f(parents), and distribute pfail over the other values. +% This is useful for simulating noisy deterministic functions. +% If pfail is omitted, it is set to 0. +% + + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = tabular_CPD(bnet, self); + return; +elseif isa(bnet, 'deterministic_CPD') + % This might occur if we are copying an object. + CPD = bnet; + return; +end + +if nargin < 4, pfail = 0; end + +ps = parents(bnet.dag, self); +ns = bnet.node_sizes; +psizes = ns(ps); +self_size = ns(self); + +psucc = 1-pfail; + +CPT = zeros(prod(psizes), self_size); +pvals = zeros(1, length(ps)); +for i=1:prod(psizes) + pvals = ind2subv(psizes, i); + x = feval(fname, pvals); + %fprintf('%d ', [pvals x]); fprintf('\n'); + if psucc == 1 + CPT(i, x) = 1; + else + CPT(i, x) = psucc; + rest = mysetdiff(1:self_size, x); + CPT(i, rest) = pfail/length(rest); + end +end +CPT = reshape(CPT, [psizes self_size]); + +CPD = tabular_CPD(bnet, self, 'CPT',CPT, 'clamped',1); + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_lambda_msg.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_lambda_msg.m new file mode 100644 index 00000000..d53e9e0f --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_lambda_msg.m @@ -0,0 +1,16 @@ +function lam_msg = CPD_to_lambda_msg(CPD, msg_type, n, ps, msg, p, evidence) +% CPD_TO_LAMBDA_MSG Compute lambda message (discrete) +% lam_msg = compute_lambda_msg(CPD, msg_type, n, ps, msg, p, evidence) +% Pearl p183 eq 4.52 + +switch msg_type + case 'd', + T = prod_CPT_and_pi_msgs(CPD, n, ps, msg, p); + mysize = length(msg{n}.lambda); + lambda = dpot(n, mysize, msg{n}.lambda); + T = multiply_by_pot(T, lambda); + lam_msg = pot_to_marginal(marginalize_pot(T, p)); + lam_msg = lam_msg.T; + case 'g', + error('discrete_CPD can''t create Gaussian msgs') +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_pi.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_pi.m new file mode 100644 index 00000000..5962c92e --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_pi.m @@ -0,0 +1,13 @@ +function pi = CPD_to_pi(CPD, msg_type, n, ps, msg, evidence) +% COMPUTE_PI Compute pi vector (discrete) +% pi = compute_pi(CPD, msg_type, n, ps, msg, evidence) +% Pearl p183 eq 4.51 + +switch msg_type + case 'd', + T = prod_CPT_and_pi_msgs(CPD, n, ps, msg); + pi = pot_to_marginal(marginalize_pot(T, n)); + pi = pi.T(:); + case 'g', + error('can only convert discrete CPD to Gaussian pi if observed') +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_scgpot.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_scgpot.m new file mode 100644 index 00000000..3d611536 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CPD_to_scgpot.m @@ -0,0 +1,25 @@ +function pot = CPD_to_scgpot(CPD, domain, ns, cnodes, evidence) +% CPD_TO_SCGPOT Convert a CPD to a CG potential, incorporating any evidence (discrete) +% pot = CPD_to_scgpot(CPD, domain, ns, cnodes, evidence) +% +% domain is the domain of CPD. +% node_sizes(i) is the size of node i. +% cnodes +% evidence{i} is the evidence on the i'th node. + +%odom = domain(~isemptycell(evidence(domain))); + +%vals = cat(1, evidence{odom}); +%map = find_equiv_posns(odom, domain); +%index = mk_multi_index(length(domain), map, vals); +CPT = CPD_to_CPT(CPD); +%CPT = CPT(index{:}); +CPT = CPT(:); +%ns(odom) = 1; +potarray = cell(1, length(CPT)); +for i=1:length(CPT) + %p = CPT(i); + potarray{i} = scgcpot(0, 0, CPT(i)); + %scpot{i} = scpot(0, 0); +end +pot = scgpot(domain, [], [], ns, potarray); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries new file mode 100644 index 00000000..57599441 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries @@ -0,0 +1,15 @@ +/CPD_to_lambda_msg.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_pi.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_scgpot.m/1.1.1.1/Wed May 29 15:59:52 2002// +/README/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_CPD_to_table_hidden_ps.m/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_obs_CPD_to_table.m/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_to_pot.m/1.1.1.1/Fri Feb 20 22:00:38 2004// +/convert_to_sparse_table.c/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_to_table.m/1.1.1.1/Wed May 29 15:59:52 2002// +/discrete_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/dom_sizes.m/1.1.1.1/Wed May 29 15:59:52 2002// +/log_prob_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +/prob_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +/sample_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries.Log b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries.Log new file mode 100644 index 00000000..9c6f22e4 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Entries.Log @@ -0,0 +1,2 @@ +A D/Old//// +A D/private//// diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Repository new file mode 100644 index 00000000..f3418ec7 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@discrete_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Entries new file mode 100644 index 00000000..15bb91c3 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Entries @@ -0,0 +1,5 @@ +/convert_to_pot.m/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_to_table.m/1.1.1.1/Wed May 29 15:59:52 2002// +/prob_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/prob_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Repository new file mode 100644 index 00000000..df41b4fd --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@discrete_CPD/Old diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_pot.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_pot.m new file mode 100644 index 00000000..3f178e1c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_pot.m @@ -0,0 +1,44 @@ +function pot = convert_to_pot(CPD, pot_type, domain, evidence) +% CONVERT_TO_POT Convert a tabular CPD to one or more potentials +% pots = convert_to_pot(CPD, pot_type, domain, evidence) +% +% pots{i} = CPD evaluated using evidence(domain(:,i)) +% If 'domains' is a single row vector, pots will be an object, not a cell array. + +ncases = size(domain,2); +assert(ncases==1); % not yet vectorized + +sz = dom_sizes(CPD); +ns = zeros(1, max(domain)); +ns(domain) = sz; + +local_ev = evidence(domain); +obs_bitv = ~isemptycell(local_ev); +odom = domain(obs_bitv); +T = convert_to_table(CPD, domain, local_ev, obs_bitv); + +switch pot_type + case 'u', + pot = upot(domain, sz, T, 0*myones(sz)); + case 'd', + ns(odom) = 1; + pot = dpot(domain, ns(domain), T); + case {'c','g'}, + % Since we want the output to be a Gaussian, the whole family must be observed. + % In other words, the potential is really just a constant. + p = T; + %p = prob_node(CPD, evidence(domain(end)), evidence(domain(1:end-1))); + ns(domain) = 0; + pot = cpot(domain, ns(domain), log(p)); + case 'cg', + T = T(:); + ns(odom) = 1; + can = cell(1, length(T)); + for i=1:length(T) + can{i} = cpot([], [], log(T(i))); + end + pot = cgpot(domain, [], ns, can); + otherwise, + error(['unrecognized pot type ' pot_type]) +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_table.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_table.m new file mode 100644 index 00000000..65121122 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/convert_to_table.m @@ -0,0 +1,23 @@ +function T = convert_to_table(CPD, domain, local_ev, obs_bitv) +% CONVERT_TO_TABLE Convert a discrete CPD to a table +% function T = convert_to_table(CPD, domain, local_ev, obs_bitv) +% +% We convert the CPD to a CPT, and then lookup the evidence on the discrete parents. +% The resulting table can easily be converted to a potential. + + +CPT = CPD_to_CPT(CPD); +obs_child_only = ~any(obs_bitv(1:end-1)) & obs_bitv(end); + +if obs_child_only + sz = size(CPT); + CPT = reshape(CPT, prod(sz(1:end-1)), sz(end)); + o = local_ev{end}; + T = CPT(:, o); +else + odom = domain(obs_bitv); + vals = cat(1, local_ev{find(obs_bitv)}); % undo cell array + map = find_equiv_posns(odom, domain); + index = mk_multi_index(length(domain), map, vals); + T = CPT(index{:}); +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_CPD.m new file mode 100644 index 00000000..c0a79bda --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_CPD.m @@ -0,0 +1,25 @@ +function p = prob_CPD(CPD, domain, ns, cnodes, evidence) +% PROB_CPD Compute prob of a node given evidence on the parents (discrete) +% p = prob_CPD(CPD, domain, ns, cnodes, evidence) +% +% domain is the domain of CPD. +% node_sizes(i) is the size of node i. +% cnodes = all the cts nodes +% evidence{i} is the evidence on the i'th node. + +ps = domain(1:end-1); +self = domain(end); +CPT = CPD_to_CPT(CPD); + +if isempty(ps) + T = CPT; +else + assert(~any(isemptycell(evidence(ps)))); + pvals = cat(1, evidence{ps}); + i = subv2ind(ns(ps), pvals(:)'); + T = reshape(CPT, [prod(ns(ps)) ns(self)]); + T = T(i,:); +end +p = T(evidence{self}); + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_node.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_node.m new file mode 100644 index 00000000..1a39fc79 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/Old/prob_node.m @@ -0,0 +1,51 @@ +function [P, p] = prob_node(CPD, self_ev, pev) +% PROB_NODE Compute prod_m P(x(i,m)| x(pi_i,m), theta_i) for node i (discrete) +% [P, p] = prob_node(CPD, self_ev, pev) +% +% self_ev(m) is the evidence on this node in case m. +% pev(i,m) is the evidence on the i'th parent in case m (if there are any parents). +% (These may also be cell arrays.) +% +% p(m) = P(x(i,m)| x(pi_i,m), theta_i) +% P = prod p(m) + +if iscell(self_ev), usecell = 1; else usecell = 0; end + +ncases = length(self_ev); +sz = dom_sizes(CPD); + +nparents = length(sz)-1; +if nparents == 0 + assert(isempty(pev)); +else + assert(isequal(size(pev), [nparents ncases])); +end + +n = length(sz); +dom = 1:n; +p = zeros(1, ncases); +if nparents == 0 + for m=1:ncases + if usecell + evidence = {self_ev{m}}; + else + evidence = num2cell(self_ev(m)); + end + T = convert_to_table(CPD, dom, evidence); + p(m) = T; + end +else + for m=1:ncases + if usecell + evidence = cell(1,n); + evidence(1:n-1) = pev(:,m); + evidence(n) = self_ev(m); + else + evidence = num2cell([pev(:,m)', self_ev(m)]); + end + T = convert_to_table(CPD, dom, evidence); + p(m) = T; + end +end +P = prod(p); + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/README b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/README new file mode 100644 index 00000000..c0c5a3b3 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/README @@ -0,0 +1,5 @@ +Any CPD on a discrete child with discrete parents +can be represented as a table (although this might be quite big). +discrete_CPD uses this tabular representation to implement various +functions. Subtypes are free to implement more efficient versions. + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_CPD_to_table_hidden_ps.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_CPD_to_table_hidden_ps.m new file mode 100644 index 00000000..c8f44f7e --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_CPD_to_table_hidden_ps.m @@ -0,0 +1,20 @@ +function T = convert_CPD_to_table_hidden_ps(CPD, child_obs) +% CONVERT_CPD_TO_TABLE_HIDDEN_PS Convert a discrete CPD to a table +% T = convert_CPD_to_table_hidden_ps(CPD, child_obs) +% +% This is like convert_to_table, except that we are guaranteed that +% none of the parents have evidence on them. +% child_obs may be an integer (1,2,...) or []. + +CPT = CPD_to_CPT(CPD); +if isempty(child_obs) + T = CPT(:); +else + sz = dom_sizes(CPD); + if length(sz)==1 % no parents + T = CPT(child_obs); + else + CPT = reshape(CPT, prod(sz(1:end-1)), sz(end)); + T = CPT(:, child_obs); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_obs_CPD_to_table.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_obs_CPD_to_table.m new file mode 100644 index 00000000..04004088 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_obs_CPD_to_table.m @@ -0,0 +1,13 @@ +function T = convert_to_table(CPD, domain, evidence) +% CONVERT_TO_TABLE Convert a discrete CPD to a table +% T = convert_to_table(CPD, domain, evidence) +% +% We convert the CPD to a CPT, and then lookup the evidence on the discrete parents. +% The resulting table can easily be converted to a potential. + +CPT = CPD_to_CPT(CPD); +odom = domain(~isemptycell(evidence(domain))); +vals = cat(1, evidence{odom}); +map = find_equiv_posns(odom, domain); +index = mk_multi_index(length(domain), map, vals); +T = CPT(index{:}); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_pot.m b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_pot.m new file mode 100644 index 00000000..ecc57d49 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_pot.m @@ -0,0 +1,62 @@ +function pot = convert_to_pot(CPD, pot_type, domain, evidence) +% CONVERT_TO_POT Convert a discrete CPD to a potential +% pot = convert_to_pot(CPD, pot_type, domain, evidence) +% +% pots = CPD evaluated using evidence(domain) + +ncases = size(domain,2); +assert(ncases==1); % not yet vectorized + +sz = dom_sizes(CPD); +ns = zeros(1, max(domain)); +ns(domain) = sz; + +CPT1 = CPD_to_CPT(CPD); +spar = issparse(CPT1); +odom = domain(~isemptycell(evidence(domain))); +if spar + T = convert_to_sparse_table(CPD, domain, evidence); +else + T = convert_to_table(CPD, domain, evidence); +end + +switch pot_type + case 'u', + pot = upot(domain, sz, T, 0*myones(sz)); + case 'd', + ns(odom) = 1; + pot = dpot(domain, ns(domain), T); + case {'c','g'}, + % Since we want the output to be a Gaussian, the whole family must be observed. + % In other words, the potential is really just a constant. + p = T; + %p = prob_node(CPD, evidence(domain(end)), evidence(domain(1:end-1))); + ns(domain) = 0; + pot = cpot(domain, ns(domain), log(p)); + + case 'cg', + T = T(:); + ns(odom) = 1; + can = cell(1, length(T)); + for i=1:length(T) + if T(i) == 0 + can{i} = cpot([], [], -Inf); % bug fix by Bob Welch 20/2/04 + else + can{i} = cpot([], [], log(T(i))); + end; + end + pot = cgpot(domain, [], ns, can); + + case 'scg' + T = T(:); + ns(odom) = 1; + pot_array = cell(1, length(T)); + for i=1:length(T) + pot_array{i} = scgcpot([], [], T(i)); + end + pot = scgpot(domain, [], [], ns, pot_array); + + otherwise, + error(['unrecognized pot type ' pot_type]) +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_sparse_table.c b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_sparse_table.c new file mode 100644 index 00000000..369f5b7e --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@discrete_CPD/convert_to_sparse_table.c @@ -0,0 +1,154 @@ +/* convert_to_sparse_table.c convert a sparse discrete CPD with evidence into sparse table */ +/* convert_to_pot.m located in ../CPDs/discrete_CPD call it */ +/* 3 input */ +/* CPD prhs[0] with 1D sparse CPT */ +/* domain prhs[1] */ +/* evidence prhs[2] */ +/* 1 output */ +/* T plhs[0] sparse table */ + +#include +#include "mex.h" + +void ind_subv(int index, const int *cumprod, const int n, int *bsubv){ + int i; + + for (i = n-1; i >= 0; i--) { + bsubv[i] = ((int)floor(index / cumprod[i])); + index = index % cumprod[i]; + } +} + +int subv_ind(const int n, const int *cumprod, const int *subv){ + int i, index=0; + + for(i=0; i 1e-3) || isinf(P) + if isinf(P) % Y is observed + Sigma_lambda = zeros(self_size, self_size); % infinite precision => 0 variance + mu_lambda = msg{n}.lambda.mu; % observed_value; + else + Sigma_lambda = inv(P); + mu_lambda = Sigma_lambda * msg{n}.lambda.info_state; + end + C = inv(Sigma_lambda + BSigma); + lam_msg.precision = Bi' * C * Bi; + lam_msg.info_state = Bi' * C * (mu_lambda - Bmu); + else + % method that uses matrix inversion lemma to avoid inverting P + A = inv(P + inv(BSigma)); + C = P - P*A*P; + lam_msg.precision = Bi' * C * Bi; + D = eye(self_size) - P*A; + z = msg{n}.lambda.info_state; + lam_msg.info_state = Bi' * (D*z - D*P*Bmu); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_pi.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_pi.m new file mode 100644 index 00000000..910973e7 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_pi.m @@ -0,0 +1,22 @@ +function pi = CPD_to_pi(CPD, msg_type, n, ps, msg, evidence) +% CPD_TO_PI Compute the pi vector (gaussian) +% function pi = CPD_to_pi(CPD, msg_type, n, ps, msg, evidence) + +switch msg_type + case 'd', + error('gaussian_CPD can''t create discrete msgs') + case 'g', + [m, Q, W] = gaussian_CPD_params_given_dps(CPD, [ps n], evidence); + cps = ps(CPD.cps); + cpsizes = CPD.sizes(CPD.cps); + pi.mu = m; + pi.Sigma = Q; + for k=1:length(cps) % only get pi msgs from cts parents + %bk = block(k, cpsizes); + bk = CPD.cps_block_ndx{k}; + Bk = W(:, bk); + m = msg{n}.pi_from_parent{k}; + pi.Sigma = pi.Sigma + Bk * m.Sigma * Bk'; + pi.mu = pi.mu + Bk * m.mu; % m.mu = u(k) + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_scgpot.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_scgpot.m new file mode 100644 index 00000000..90e7cc80 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CPD_to_scgpot.m @@ -0,0 +1,58 @@ +function pot = CPD_to_scgpot(CPD, domain, ns, cnodes, evidence) +% CPD_TO_CGPOT Convert a Gaussian CPD to a CG potential, incorporating any evidence +% pot = CPD_to_cgpot(CPD, domain, ns, cnodes, evidence) + +self = CPD.self; +dnodes = mysetdiff(1:length(ns), cnodes); +odom = domain(~isemptycell(evidence(domain))); +cdom = myintersect(cnodes, domain); +cheaddom = myintersect(self, domain); +ctaildom = mysetdiff(cdom,cheaddom); +ddom = myintersect(dnodes, domain); +cobs = myintersect(cdom, odom); +dobs = myintersect(ddom, odom); +ens = ns; % effective node size +ens(cobs) = 0; +ens(dobs) = 1; + +% Extract the params compatible with the observations (if any) on the discrete parents (if any) +% parents are all but the last domain element +ps = domain(1:end-1); +dps = myintersect(ps, ddom); +dops = myintersect(dps, odom); + +map = find_equiv_posns(dops, dps); +dpvals = cat(1, evidence{dops}); +index = mk_multi_index(length(dps), map, dpvals); + +dpsize = prod(ens(dps)); +cpsize = size(CPD.weights(:,:,1), 2); % cts parents size +ss = size(CPD.mean, 1); % self size +% the reshape acts like a squeeze +m = reshape(CPD.mean(:, index{:}), [ss dpsize]); +C = reshape(CPD.cov(:, :, index{:}), [ss ss dpsize]); +W = reshape(CPD.weights(:, :, index{:}), [ss cpsize dpsize]); + + +% Convert each conditional Gaussian to a canonical potential +pot = cell(1, dpsize); +for i=1:dpsize + %pot{i} = linear_gaussian_to_scgcpot(m(:,i), C(:,:,i), W(:,:,i), cdom, ns, cnodes, evidence); + pot{i} = scgcpot(ss, cpsize, 1, m(:,i), W(:,:,i), C(:,:,i)); +end + +pot = scgpot(ddom, cheaddom, ctaildom, ens, pot); + + +function pot = linear_gaussian_to_scgcpot(mu, Sigma, W, domain, ns, cnodes, evidence) +% LINEAR_GAUSSIAN_TO_CPOT Convert a linear Gaussian CPD to a stable conditional potential element. +% pot = linear_gaussian_to_cpot(mu, Sigma, W, domain, ns, cnodes, evidence) + +p = 1; +A = mu; +B = W; +C = Sigma; +ns(odom) = 0; +%pot = scgcpot(, ns(domain), p, A, B, C); + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries new file mode 100644 index 00000000..a6bd3e14 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries @@ -0,0 +1,20 @@ +/CPD_to_lambda_msg.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_pi.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_scgpot.m/1.1.1.1/Wed May 29 15:59:52 2002// +/adjustable_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_CPD_to_table_hidden_ps.m/1.1.1.1/Wed May 29 15:59:52 2002// +/convert_to_pot.m/1.1.1.1/Sun Mar 9 23:03:16 2003// +/convert_to_table.m/1.1.1.1/Sun May 11 23:31:54 2003// +/display.m/1.1.1.1/Wed May 29 15:59:52 2002// +/gaussian_CPD.m/1.1.1.1/Wed Jun 15 21:13:06 2005// +/gaussian_CPD_params_given_dps.m/1.1.1.1/Sun May 11 23:13:40 2003// +/get_field.m/1.1.1.1/Wed May 29 15:59:52 2002// +/learn_params.m/1.1.1.1/Thu Jun 10 01:28:10 2004// +/log_prob_node.m/1.1.1.1/Tue Sep 10 17:44:00 2002// +/maximize_params.m/1.1.1.1/Tue May 20 14:10:06 2003// +/maximize_params_debug.m/1.1.1.1/Fri Jan 31 00:13:10 2003// +/reset_ess.m/1.1.1.1/Wed May 29 15:59:52 2002// +/sample_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +/set_fields.m/1.1.1.1/Wed May 29 15:59:52 2002// +/update_ess.m/1.1.1.1/Tue Jul 22 22:55:46 2003// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries.Log b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries.Log new file mode 100644 index 00000000..9c6f22e4 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Entries.Log @@ -0,0 +1,2 @@ +A D/Old//// +A D/private//// diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Repository new file mode 100644 index 00000000..98ebf3cb --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@gaussian_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CPD_to_lambda_msg.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CPD_to_lambda_msg.m new file mode 100644 index 00000000..5a6d398a --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CPD_to_lambda_msg.m @@ -0,0 +1,64 @@ +function lam_msg = CPD_to_lambda_msg(CPD, msg_type, n, ps, msg, p) +% CPD_TO_LAMBDA_MSG Compute lambda message (gaussian) +% lam_msg = compute_lambda_msg(CPD, msg_type, n, ps, msg, p) +% Pearl p183 eq 4.52 + +switch msg_type + case 'd', + error('gaussian_CPD can''t create discrete msgs') + case 'g', + self_size = CPD.sizes(end); + if all(msg{n}.lambda.precision == 0) % no info to send on + lam_msg.precision = zeros(self_size); + lam_msg.info_state = zeros(self_size, 1); + return; + end + cpsizes = CPD.sizes(CPD.cps); + dpval = 1; + Q = CPD.cov(:,:,dpval); + Sigmai = Q; + wmu = zeros(self_size, 1); + for k=1:length(ps) + pk = ps(k); + if pk ~= p + bk = block(k, cpsizes); + Bk = CPD.weights(:, bk, dpval); + m = msg{n}.pi_from_parent{k}; + Sigmai = Sigmai + Bk * m.Sigma * Bk'; + wmu = wmu + Bk * m.mu; % m.mu = u(k) + end + end + % Sigmai = Q + sum_{k \neq i} B_k Sigma_k B_k' + i = find_equiv_posns(p, ps); + bi = block(i, cpsizes); + Bi = CPD.weights(:,bi, dpval); + + if 0 + P = msg{n}.lambda.precision; + if isinf(P) % inv(P)=Sigma_lambda=0 + precision_temp = inv(Sigmai); + lam_msg.precision = Bi' * precision_temp * Bi; + lam_msg.info_state = precision_temp * (msg{n}.lambda.mu - wmu); + else + A = inv(P + inv(Sigmai)); + precision_temp = P + P*A*P; + lam_msg.precision = Bi' * precision_temp * Bi; + self_size = length(P); + C = eye(self_size) + P*A; + z = msg{n}.lambda.info_state; + lam_msg.info_state = C*z - C*P*wmu; + end + end + + if isinf(msg{n}.lambda.precision) + Sigma_lambda = zeros(self_size, self_size); % infinite precision => 0 variance + mu_lambda = msg{n}.lambda.mu; % observed_value; + else + Sigma_lambda = inv(msg{n}.lambda.precision); + mu_lambda = Sigma_lambda * msg{n}.lambda.info_state; + end + precision_temp = inv(Sigma_lambda + Sigmai); + lam_msg.precision = Bi' * precision_temp * Bi; + lam_msg.info_state = Bi' * precision_temp * (mu_lambda - wmu); +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Entries new file mode 100644 index 00000000..ea2f5a4c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Entries @@ -0,0 +1,7 @@ +/CPD_to_lambda_msg.m/1.1.1.1/Wed May 29 15:59:52 2002// +/gaussian_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/log_prob_node.m/1.1.1.1/Wed May 29 15:59:52 2002// +/maximize_params.m/1.1.1.1/Thu Jan 30 22:38:16 2003// +/update_ess.m/1.1.1.1/Wed May 29 15:59:52 2002// +/update_tied_ess.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Repository new file mode 100644 index 00000000..c89b5b86 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@gaussian_CPD/Old diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/gaussian_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/gaussian_CPD.m new file mode 100644 index 00000000..6f7138fc --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/gaussian_CPD.m @@ -0,0 +1,184 @@ +function CPD = gaussian_CPD(varargin) +% GAUSSIAN_CPD Make a conditional linear Gaussian distrib. +% +% To define this CPD precisely, call the continuous (cts) parents (if any) X, +% the discrete parents (if any) Q, and this node Y. Then the distribution on Y is: +% - no parents: Y ~ N(mu, Sigma) +% - cts parents : Y|X=x ~ N(mu + W x, Sigma) +% - discrete parents: Y|Q=i ~ N(mu(i), Sigma(i)) +% - cts and discrete parents: Y|X=x,Q=i ~ N(mu(i) + W(i) x, Sigma(i)) +% +% CPD = gaussian_CPD(bnet, node, ...) will create a CPD with random parameters, +% where node is the number of a node in this equivalence class. +% +% The list below gives optional arguments [default value in brackets]. +% (Let ns(i) be the size of node i, X = ns(X), Y = ns(Y) and Q = prod(ns(Q)).) +% +% mean - mu(:,i) is the mean given Q=i [ randn(Y,Q) ] +% cov - Sigma(:,:,i) is the covariance given Q=i [ repmat(eye(Y,Y), [1 1 Q]) ] +% weights - W(:,:,i) is the regression matrix given Q=i [ randn(Y,X,Q) ] +% cov_type - if 'diag', Sigma(:,:,i) is diagonal [ 'full' ] +% tied_cov - if 1, we constrain Sigma(:,:,i) to be the same for all i [0] +% clamp_mean - if 1, we do not adjust mu(:,i) during learning [0] +% clamp_cov - if 1, we do not adjust Sigma(:,:,i) during learning [0] +% clamp_weights - if 1, we do not adjust W(:,:,i) during learning [0] +% cov_prior_weight - weight given to I prior for estimating Sigma [0.01] +% +% e.g., CPD = gaussian_CPD(bnet, i, 'mean', [0; 0], 'clamp_mean', 'yes') +% +% For backwards compatibility with BNT2, you can also specify the parameters in the following order +% CPD = gaussian_CPD(bnet, self, mu, Sigma, W, cov_type, tied_cov, clamp_mean, clamp_cov, clamp_weight) +% +% Sometimes it is useful to create an "isolated" CPD, without needing to pass in a bnet. +% In this case, you must specify the discrete and cts parents (dps, cps) and the family sizes, followed +% by the optional arguments above: +% CPD = gaussian_CPD('self', i, 'dps', dps, 'cps', cps, 'sz', fam_size, ...) + + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = init_fields; + clamp = 0; + CPD = class(CPD, 'gaussian_CPD', generic_CPD(clamp)); + return; +elseif isa(varargin{1}, 'gaussian_CPD') + % This might occur if we are copying an object. + CPD = varargin{1}; + return; +end +CPD = init_fields; + +CPD = class(CPD, 'gaussian_CPD', generic_CPD(0)); + + +% parse mandatory arguments +if ~isstr(varargin{1}) % pass in bnet + bnet = varargin{1}; + self = varargin{2}; + args = varargin(3:end); + ns = bnet.node_sizes; + ps = parents(bnet.dag, self); + dps = myintersect(ps, bnet.dnodes); + cps = myintersect(ps, bnet.cnodes); + fam_sz = ns([ps self]); +else + disp('parsing new style') + for i=1:2:length(varargin) + switch varargin{i}, + case 'self', self = varargin{i+1}; + case 'dps', dps = varargin{i+1}; + case 'cps', cps = varargin{i+1}; + case 'sz', fam_sz = varargin{i+1}; + end + end + ps = myunion(dps, cps); + args = varargin; +end + +CPD.self = self; +CPD.sizes = fam_sz; + +% Figure out which (if any) of the parents are discrete, and which cts, and how big they are +% dps = discrete parents, cps = cts parents +CPD.cps = find_equiv_posns(cps, ps); % cts parent index +CPD.dps = find_equiv_posns(dps, ps); +ss = fam_sz(end); +psz = fam_sz(1:end-1); +dpsz = prod(psz(CPD.dps)); +cpsz = sum(psz(CPD.cps)); + +% set default params +CPD.mean = randn(ss, dpsz); +CPD.cov = 100*repmat(eye(ss), [1 1 dpsz]); +CPD.weights = randn(ss, cpsz, dpsz); +CPD.cov_type = 'full'; +CPD.tied_cov = 0; +CPD.clamped_mean = 0; +CPD.clamped_cov = 0; +CPD.clamped_weights = 0; +CPD.cov_prior_weight = 0.01; + +nargs = length(args); +if nargs > 0 + if ~isstr(args{1}) + % gaussian_CPD(bnet, self, mu, Sigma, W, cov_type, tied_cov, clamp_mean, clamp_cov, clamp_weights) + if nargs >= 1 & ~isempty(args{1}), CPD.mean = args{1}; end + if nargs >= 2 & ~isempty(args{2}), CPD.cov = args{2}; end + if nargs >= 3 & ~isempty(args{3}), CPD.weights = args{3}; end + if nargs >= 4 & ~isempty(args{4}), CPD.cov_type = args{4}; end + if nargs >= 5 & ~isempty(args{5}) & strcmp(args{5}, 'tied'), CPD.tied_cov = 1; end + if nargs >= 6 & ~isempty(args{6}), CPD.clamped_mean = 1; end + if nargs >= 7 & ~isempty(args{7}), CPD.clamped_cov = 1; end + if nargs >= 8 & ~isempty(args{8}), CPD.clamped_weights = 1; end + else + CPD = set_fields(CPD, args{:}); + end +end + +% Make sure the matrices have 1 dimension per discrete parent. +% Bug fix due to Xuejing Sun 3/6/01 +CPD.mean = myreshape(CPD.mean, [ss ns(dps)]); +CPD.cov = myreshape(CPD.cov, [ss ss ns(dps)]); +CPD.weights = myreshape(CPD.weights, [ss cpsz ns(dps)]); + +CPD.init_cov = CPD.cov; % we reset to this if things go wrong during learning + +% expected sufficient statistics +CPD.Wsum = zeros(dpsz,1); +CPD.WYsum = zeros(ss, dpsz); +CPD.WXsum = zeros(cpsz, dpsz); +CPD.WYYsum = zeros(ss, ss, dpsz); +CPD.WXXsum = zeros(cpsz, cpsz, dpsz); +CPD.WXYsum = zeros(cpsz, ss, dpsz); + +% For BIC +CPD.nsamples = 0; +switch CPD.cov_type + case 'full', + ncov_params = ss*(ss-1)/2; % since symmetric (and positive definite) + case 'diag', + ncov_params = ss; + otherwise + error(['unrecognized cov_type ' cov_type]); +end +% params = weights + mean + cov +if CPD.tied_cov + CPD.nparams = ss*cpsz*dpsz + ss*dpsz + ncov_params; +else + CPD.nparams = ss*cpsz*dpsz + ss*dpsz + dpsz*ncov_params; +end + + + +clamped = CPD.clamped_mean & CPD.clamped_cov & CPD.clamped_weights; +CPD = set_clamped(CPD, clamped); + +%%%%%%%%%%% + +function CPD = init_fields() +% This ensures we define the fields in the same order +% no matter whether we load an object from a file, +% or create it from scratch. (Matlab requires this.) + +CPD.self = []; +CPD.sizes = []; +CPD.cps = []; +CPD.dps = []; +CPD.mean = []; +CPD.cov = []; +CPD.weights = []; +CPD.clamped_mean = []; +CPD.clamped_cov = []; +CPD.clamped_weights = []; +CPD.init_cov = []; +CPD.cov_type = []; +CPD.tied_cov = []; +CPD.Wsum = []; +CPD.WYsum = []; +CPD.WXsum = []; +CPD.WYYsum = []; +CPD.WXXsum = []; +CPD.WXYsum = []; +CPD.nsamples = []; +CPD.nparams = []; +CPD.cov_prior_weight = []; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/log_prob_node.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/log_prob_node.m new file mode 100644 index 00000000..3fa398c8 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/log_prob_node.m @@ -0,0 +1,59 @@ +function L = log_prob_node(CPD, self_ev, pev) +% LOG_PROB_NODE Compute prod_m log P(x(i,m)| x(pi_i,m), theta_i) for node i (gaussian) +% L = log_prob_node(CPD, self_ev, pev) +% +% self_ev(m) is the evidence on this node in case m. +% pev(i,m) is the evidence on the i'th parent in case m (if there are any parents). +% (These may also be cell arrays.) + +if iscell(self_ev), usecell = 1; else usecell = 0; end + +use_log = 1; +ncases = length(self_ev); +nparents = length(CPD.sizes)-1; +assert(ncases == size(pev, 2)); + +if ncases == 0 + L = 0; + return; +end + +if length(CPD.dps)==0 % no discrete parents, so we can vectorize + i = 1; + if usecell + Y = cell2num(self_ev); + else + Y = self_ev; + end + if length(CPD.cps) == 0 + L = gaussian_prob(Y, CPD.mean(:,i), CPD.cov(:,:,i), use_log); + else + if usecell + X = cell2num(pev); + else + X = pev; + end + L = gaussian_prob(Y, CPD.mean(:,i) + CPD.weights(:,:,i)*X, CPD.cov(:,:,i), use_log); + end +else % each case uses a (potentially) different set of parameters + L = 0; + for m=1:ncases + if usecell + dpvals = cat(1, pev{CPD.dps, m}); + else + dpvals = pev(CPD.dps, m); + end + i = subv2ind(CPD.sizes(CPD.dps), dpvals(:)'); + y = self_ev{m}; + if length(CPD.cps) == 0 + L = L + gaussian_prob(y, CPD.mean(:,i), CPD.cov(:,:,i), use_log); + else + if usecell + x = cat(1, pev{CPD.cps, m}); + else + x = pev(CPD.cps, m); + end + L = L + gaussian_prob(y, CPD.mean(:,i) + CPD.weights(:,:,i)*x, CPD.cov(:,:,i), use_log); + end + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/maximize_params.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/maximize_params.m new file mode 100644 index 00000000..48447358 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/maximize_params.m @@ -0,0 +1,147 @@ +function CPD = maximize_params(CPD, temp) +% MAXIMIZE_PARAMS Set the params of a CPD to their ML values (Gaussian) +% CPD = maximize_params(CPD, temperature) +% +% Temperature is currently only used for entropic prior on Sigma + +% For details, see "Fitting a Conditional Gaussian Distribution", Kevin Murphy, tech. report, +% 1998, available at www.cs.berkeley.edu/~murphyk/papers.html +% Refering to table 2, we use equations 1/2 to estimate the covariance matrix in the untied/tied case, +% and equation 9 to estimate the weight matrix and mean. +% We do not implement spherical Gaussians - the code is already pretty complicated! + +if ~adjustable_CPD(CPD), return; end + +%assert(approxeq(CPD.nsamples, sum(CPD.Wsum))); +assert(~any(isnan(CPD.WXXsum))) +assert(~any(isnan(CPD.WXYsum))) +assert(~any(isnan(CPD.WYYsum))) + +[self_size cpsize dpsize] = size(CPD.weights); + +% Append 1s to the parents, and derive the corresponding cross products. +% This is used when estimate the means and weights simultaneosuly, +% and when estimatting Sigma. +% Let x2 = [x 1]' +XY = zeros(cpsize+1, self_size, dpsize); % XY(:,:,i) = sum_l w(l,i) x2(l) y(l)' +XX = zeros(cpsize+1, cpsize+1, dpsize); % XX(:,:,i) = sum_l w(l,i) x2(l) x2(l)' +YY = zeros(self_size, self_size, dpsize); % YY(:,:,i) = sum_l w(l,i) y(l) y(l)' +for i=1:dpsize + XY(:,:,i) = [CPD.WXYsum(:,:,i) % X*Y + CPD.WYsum(:,i)']; % 1*Y + % [x * [x' 1] = [xx' x + % 1] x' 1] + XX(:,:,i) = [CPD.WXXsum(:,:,i) CPD.WXsum(:,i); + CPD.WXsum(:,i)' CPD.Wsum(i)]; + YY(:,:,i) = CPD.WYYsum(:,:,i); +end + +w = CPD.Wsum(:); +% Set any zeros to one before dividing +% This is valid because w(i)=0 => WYsum(:,i)=0, etc +w = w + (w==0); + +if CPD.clamped_mean + % Estimating B2 and then setting the last column (the mean) to the clamped mean is *not* equivalent + % to estimating B and then adding the clamped_mean to the last column. + if ~CPD.clamped_weights + B = zeros(self_size, cpsize, dpsize); + for i=1:dpsize + if det(CPD.WXXsum(:,:,i))==0 + B(:,:,i) = 0; + else + % Eqn 9 in table 2 of TR + %B(:,:,i) = CPD.WXYsum(:,:,i)' * inv(CPD.WXXsum(:,:,i)); + B(:,:,i) = (CPD.WXXsum(:,:,i) \ CPD.WXYsum(:,:,i))'; + end + end + %CPD.weights = reshape(B, [self_size cpsize dpsize]); + CPD.weights = B; + end +elseif CPD.clamped_weights % KPM 1/25/02 + if ~CPD.clamped_mean % ML estimate is just sample mean of the residuals + for i=1:dpsize + CPD.mean(:,i) = (CPD.WYsum(:,i) - CPD.weights(:,:,i) * CPD.WXsum(:,i)) / w(i); + end + end +else % nothing is clamped, so estimate mean and weights simultaneously + B2 = zeros(self_size, cpsize+1, dpsize); + for i=1:dpsize + if det(XX(:,:,i))==0 % fix by U. Sondhauss 6/27/99 + B2(:,:,i)=0; + else + % Eqn 9 in table 2 of TR + %B2(:,:,i) = XY(:,:,i)' * inv(XX(:,:,i)); + B2(:,:,i) = (XX(:,:,i) \ XY(:,:,i))'; + end + CPD.mean(:,i) = B2(:,cpsize+1,i); + CPD.weights(:,:,i) = B2(:,1:cpsize,i); + end +end + +% Let B2 = [W mu] +if cpsize>0 + B2(:,1:cpsize,:) = reshape(CPD.weights, [self_size cpsize dpsize]); +end +B2(:,cpsize+1,:) = reshape(CPD.mean, [self_size dpsize]); + +% To avoid singular covariance matrices, +% we use the regularization method suggested in "A Quasi-Bayesian approach to estimating +% parameters for mixtures of normal distributions", Hamilton 91. +% If the ML estimate is Sigma = M/N, the MAP estimate is (M+gamma*I) / (N+gamma), +% where gamma >=0 is a smoothing parameter (equivalent sample size of I prior) + +gamma = CPD.cov_prior_weight; + +if ~CPD.clamped_cov + if CPD.cov_prior_entropic % eqn 12 of Brand AI/Stat 99 + Z = 1-temp; + % When temp > 1, Z is negative, so we are dividing by a smaller + % number, ie. increasing the variance. + else + Z = 0; + end + if CPD.tied_cov + S = zeros(self_size, self_size); + % Eqn 2 from table 2 in TR + for i=1:dpsize + S = S + (YY(:,:,i) - B2(:,:,i)*XY(:,:,i)); + end + %denom = max(1, CPD.nsamples + gamma + Z); + denom = CPD.nsamples + gamma + Z; + S = (S + gamma*eye(self_size)) / denom; + if strcmp(CPD.cov_type, 'diag') + S = diag(diag(S)); + end + CPD.cov = repmat(S, [1 1 dpsize]); + else + for i=1:dpsize + % Eqn 1 from table 2 in TR + S = YY(:,:,i) - B2(:,:,i)*XY(:,:,i); + %denom = max(1, w(i) + gamma + Z); % gives wrong answers on mhmm1 + denom = w(i) + gamma + Z; + S = (S + gamma*eye(self_size)) / denom; + CPD.cov(:,:,i) = S; + end + if strcmp(CPD.cov_type, 'diag') + for i=1:dpsize + CPD.cov(:,:,i) = diag(diag(CPD.cov(:,:,i))); + end + end + end +end + + +check_covars = 0; +min_covar = 1e-5; +if check_covars % prevent collapsing to a point + for i=1:dpsize + if min(svd(CPD.cov(:,:,i))) < min_covar + disp(['resetting singular covariance for node ' num2str(CPD.self)]); + CPD.cov(:,:,i) = CPD.init_cov(:,:,i); + end + end +end + + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_ess.m new file mode 100644 index 00000000..988012e2 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_ess.m @@ -0,0 +1,85 @@ +function CPD = update_ess(CPD, fmarginal, evidence, ns, cnodes, hidden_bitv) +% UPDATE_ESS Update the Expected Sufficient Statistics of a Gaussian node +% function CPD = update_ess(CPD, fmarginal, evidence, ns, cnodes, hidden_bitv) + +%if nargin < 6 +% hidden_bitv = zeros(1, max(fmarginal.domain)); +% hidden_bitv(find(isempty(evidence)))=1; +%end + +dom = fmarginal.domain; +self = dom(end); +ps = dom(1:end-1); +hidden_self = hidden_bitv(self); +cps = myintersect(ps, cnodes); +dps = mysetdiff(ps, cps); +hidden_cps = all(hidden_bitv(cps)); +hidden_dps = all(hidden_bitv(dps)); + +CPD.nsamples = CPD.nsamples + 1; +[ss cpsz dpsz] = size(CPD.weights); % ss = self size + +% Let X be the cts parent (if any), Y be the cts child (self). + +if ~hidden_self & (isempty(cps) | ~hidden_cps) & hidden_dps % all cts nodes are observed, all discrete nodes are hidden + % Since X and Y are observed, SYY = 0, SXX = 0, SXY = 0 + % Since discrete parents are hidden, we do not need to add evidence to w. + w = fmarginal.T(:); + CPD.Wsum = CPD.Wsum + w; + y = evidence{self}; + Cyy = y*y'; + if ~CPD.useC + W = repmat(w(:)',ss,1); % W(y,i) = w(i) + W2 = repmat(reshape(W, [ss 1 dpsz]), [1 ss 1]); % W2(x,y,i) = w(i) + CPD.WYsum = CPD.WYsum + W .* repmat(y(:), 1, dpsz); + CPD.WYYsum = CPD.WYYsum + W2 .* repmat(reshape(Cyy, [ss ss 1]), [1 1 dpsz]); + else + W = w(:)'; + W2 = reshape(W, [1 1 dpsz]); + CPD.WYsum = CPD.WYsum + rep_mult(W, y(:), size(CPD.WYsum)); + CPD.WYYsum = CPD.WYYsum + rep_mult(W2, Cyy, size(CPD.WYYsum)); + end + if cpsz > 0 % X exists + x = cat(1, evidence{cps}); x = x(:); + Cxx = x*x'; + Cxy = x*y'; + if ~CPD.useC + CPD.WXsum = CPD.WXsum + W .* repmat(x(:), 1, dpsz); + CPD.WXXsum = CPD.WXXsum + W2 .* repmat(reshape(Cxx, [cpsz cpsz 1]), [1 1 dpsz]); + CPD.WXYsum = CPD.WXYsum + W2 .* repmat(reshape(Cxy, [cpsz ss 1]), [1 1 dpsz]); + else + CPD.WXsum = CPD.WXsum + rep_mult(W, x(:), size(CPD.WXsum)); + CPD.WXXsum = CPD.WXXsum + rep_mult(W2, Cxx, size(CPD.WXXsum)); + CPD.WXYsum = CPD.WXYsum + rep_mult(W2, Cxy, size(CPD.WXYsum)); + end + end + return; +end + +% general (non-vectorized) case +fullm = add_evidence_to_gmarginal(fmarginal, evidence, ns, cnodes); % slow! + +if dpsz == 1 % no discrete parents + w = 1; +else + w = fullm.T(:); +end + +CPD.Wsum = CPD.Wsum + w; +xi = 1:cpsz; +yi = (cpsz+1):(cpsz+ss); +for i=1:dpsz + muY = fullm.mu(yi, i); + SYY = fullm.Sigma(yi, yi, i); + CPD.WYsum(:,i) = CPD.WYsum(:,i) + w(i)*muY; + CPD.WYYsum(:,:,i) = CPD.WYYsum(:,:,i) + w(i)*(SYY + muY*muY'); % E[X Y] = Cov[X,Y] + E[X] E[Y] + if cpsz > 0 + muX = fullm.mu(xi, i); + SXX = fullm.Sigma(xi, xi, i); + SXY = fullm.Sigma(xi, yi, i); + CPD.WXsum(:,i) = CPD.WXsum(:,i) + w(i)*muX; + CPD.WXXsum(:,:,i) = CPD.WXXsum(:,:,i) + w(i)*(SXX + muX*muX'); + CPD.WXYsum(:,:,i) = CPD.WXYsum(:,:,i) + w(i)*(SXY + muX*muY'); + end +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_tied_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_tied_ess.m new file mode 100644 index 00000000..798c795c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/Old/update_tied_ess.m @@ -0,0 +1,118 @@ +function CPD = update_tied_ess(CPD, domain, engine, evidence, ns, cnodes) + +if ~adjustable_CPD(CPD), return; end +nCPDs = size(domain, 2); +fmarginal = cell(1, nCPDs); +for l=1:nCPDs + fmarginal{l} = marginal_family(engine, nodes(l)); +end + +[ss cpsz dpsz] = size(CPD.weights); +if const_evidence_pattern(engine) + dom = domain(:,1); + dnodes = mysetdiff(1:length(ns), cnodes); + ddom = myintersect(dom, dnodes); + cdom = myintersect(dom, cnodes); + odom = dom(~isemptycell(evidence(dom))); + hdom = dom(isemptycell(evidence(dom))); + % If all hidden nodes are discrete and all cts nodes are observed + % (e.g., HMM with Gaussian output) + % we can add the observed evidence in parallel + if mysubset(ddom, hdom) & mysubset(cdom, odom) + [mu, Sigma, T] = add_cts_ev_to_marginals(fmarginal, evidence, ns, cnodes); + else + mu = zeros(ss, dpsz, nCPDs); + Sigma = zeros(ss, ss, dpsz, nCPDs); + T = zeros(dpsz, nCPDs); + for l=1:nCPDs + [mu(:,:,l), Sigma(:,:,:,l), T(:,l)] = add_ev_to_marginals(fmarginal{l}, evidence, ns, cnodes); + end + end +end +CPD.nsamples = CPD.nsamples + nCPDs; + + +if dpsz == 1 % no discrete parents + w = 1; +else + w = fullm.T(:); +end +CPD.Wsum = CPD.Wsum + w; +% Let X be the cts parent (if any), Y be the cts child (self). +xi = 1:cpsz; +yi = (cpsz+1):(cpsz+ss); +for i=1:dpsz + muY = fullm.mu(yi, i); + SYY = fullm.Sigma(yi, yi, i); + CPD.WYsum(:,i) = CPD.WYsum(:,i) + w(i)*muY; + CPD.WYYsum(:,:,i) = CPD.WYYsum(:,:,i) + w(i)*(SYY + muY*muY'); % E[X Y] = Cov[X,Y] + E[X] E[Y] + if cpsz > 0 + muX = fullm.mu(xi, i); + SXX = fullm.Sigma(xi, xi, i); + SXY = fullm.Sigma(xi, yi, i); + CPD.WXsum(:,i) = CPD.WXsum(:,i) + w(i)*muX; + CPD.WXYsum(:,:,i) = CPD.WXYsum(:,:,i) + w(i)*(SXY + muX*muY'); + CPD.WXXsum(:,:,i) = CPD.WXXsum(:,:,i) + w(i)*(SXX + muX*muX'); + end +end + + +%%%%%%%%%%%%% + +function fullm = add_evidence_to_marginal(fmarginal, evidence, ns, cnodes) + + +dom = fmarginal.domain; + +% Find out which values of the discrete parents (if any) are compatible with +% the discrete evidence (if any). +dnodes = mysetdiff(1:length(ns), cnodes); +ddom = myintersect(dom, dnodes); +cdom = myintersect(dom, cnodes); +odom = dom(~isemptycell(evidence(dom))); +hdom = dom(isemptycell(evidence(dom))); + +dobs = myintersect(ddom, odom); +dvals = cat(1, evidence{dobs}); +ens = ns; % effective node sizes +ens(dobs) = 1; +S = prod(ens(ddom)); +subs = ind2subv(ens(ddom), 1:S); +mask = find_equiv_posns(dobs, ddom); +subs(mask) = dvals; +supportedQs = subv2ind(ns(ddom), subs); + +if isempty(ddom) + Qarity = 1; +else + Qarity = prod(ns(ddom)); +end +fullm.T = zeros(Qarity, 1); +fullm.T(supportedQs) = fmarginal.T(:); + +% Now put the hidden cts parts into their right blocks, +% leaving the observed cts parts as 0. +cobs = myintersect(cdom, odom); +chid = myintersect(cdom, hdom); +cvals = cat(1, evidence{cobs}); +n = sum(ns(cdom)); +fullm.mu = zeros(n,Qarity); +fullm.Sigma = zeros(n,n,Qarity); + +if ~isempty(chid) + chid_blocks = block(find_equiv_posns(chid, cdom), ns(cdom)); +end +if ~isempty(cobs) + cobs_blocks = block(find_equiv_posns(cobs, cdom), ns(cdom)); +end + +for i=1:length(supportedQs) + Q = supportedQs(i); + if ~isempty(chid) + fullm.mu(chid_blocks, Q) = fmarginal.mu(:, i); + fullm.Sigma(chid_blocks, chid_blocks, Q) = fmarginal.Sigma(:,:,i); + end + if ~isempty(cobs) + fullm.mu(cobs_blocks, Q) = cvals(:); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/adjustable_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/adjustable_CPD.m new file mode 100644 index 00000000..ea5190c3 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/adjustable_CPD.m @@ -0,0 +1,5 @@ +function p = adjustable_CPD(CPD) +% ADJUSTABLE_CPD Does this CPD have any adjustable params? (gaussian) +% p = adjustable_CPD(CPD) + +p = ~CPD.clamped_mean || ~CPD.clamped_cov || ~CPD.clamped_weights; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_CPD_to_table_hidden_ps.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_CPD_to_table_hidden_ps.m new file mode 100644 index 00000000..acb2c7d2 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_CPD_to_table_hidden_ps.m @@ -0,0 +1,20 @@ +function T = convert_CPD_to_table_hidden_ps(CPD, self_val) +% CONVERT_CPD_TO_TABLE_HIDDEN_PS Convert a Gaussian CPD to a table +% function T = convert_CPD_to_table_hidden_ps(CPD, self_val) +% +% self_val must be a non-empty vector. +% All the parents are hidden. +% +% This is used by misc/convert_dbn_CPDs_to_tables + +m = CPD.mean; +C = CPD.cov; +W = CPD.weights; + +[ssz dpsize] = size(m); + +T = zeros(dpsize, 1); +for i=1:dpsize + T(i) = gaussian_prob(self_val, m(:,i), C(:,:,i)); +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_pot.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_pot.m new file mode 100644 index 00000000..6afe8d1d --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_pot.m @@ -0,0 +1,71 @@ +function pot = convert_to_pot(CPD, pot_type, domain, evidence) +% CONVERT_TO_POT Convert a Gaussian CPD to one or more potentials +% pot = convert_to_pot(CPD, pot_type, domain, evidence) + +sz = CPD.sizes; +ns = zeros(1, max(domain)); +ns(domain) = sz; + +odom = domain(~isemptycell(evidence(domain))); +ps = domain(1:end-1); +cps = ps(CPD.cps); +dps = ps(CPD.dps); +self = domain(end); +cdom = [cps(:)' self]; +ddom = dps; +cnodes = cdom; + +switch pot_type + case 'u', + error('gaussian utility potentials not yet supported'); + + case 'd', + T = convert_to_table(CPD, domain, evidence); + ns(odom) = 1; + pot = dpot(domain, ns(domain), T); + + case {'c','g'}, + [m, C, W] = gaussian_CPD_params_given_dps(CPD, domain, evidence); + pot = linear_gaussian_to_cpot(m, C, W, domain, ns, cnodes, evidence); + + case 'cg', + [m, C, W] = gaussian_CPD_params_given_dps(CPD, domain, evidence); + % Convert each conditional Gaussian to a canonical potential + cobs = myintersect(cdom, odom); + dobs = myintersect(ddom, odom); + ens = ns; % effective node size + ens(cobs) = 0; + ens(dobs) = 1; + dpsize = prod(ens(dps)); + can = cell(1, dpsize); + for i=1:dpsize + if isempty(W) + can{i} = linear_gaussian_to_cpot(m(:,i), C(:,:,i), [], cdom, ns, cnodes, evidence); + else + can{i} = linear_gaussian_to_cpot(m(:,i), C(:,:,i), W(:,:,i), cdom, ns, cnodes, evidence); + end + end + pot = cgpot(ddom, cdom, ens, can); + + case 'scg', + [m, C, W] = gaussian_CPD_params_given_dps(CPD, domain, evidence); + cobs = myintersect(cdom, odom); + dobs = myintersect(ddom, odom); + ens = ns; % effective node size + ens(cobs) = 0; + ens(dobs) = 1; + dpsize = prod(ens(dps)); + cpsize = size(W, 2); % cts parents size + ss = size(m, 1); % self size + cheaddom = self; + ctaildom = cps(:)'; + pot_array = cell(1, dpsize); + for i=1:dpsize + pot_array{i} = scgcpot(ss, cpsize, 1, m(:,i), W(:,:,i), C(:,:,i)); + end + pot = scgpot(ddom, cheaddom, ctaildom, ens, pot_array); + + otherwise, + error(['unrecognized pot_type' pot_type]) +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_table.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_table.m new file mode 100644 index 00000000..4a8d5904 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/convert_to_table.m @@ -0,0 +1,38 @@ +function T = convert_to_table(CPD, domain, evidence) +% CONVERT_TO_TABLE Convert a Gaussian CPD to a table +% T = convert_to_table(CPD, domain, evidence) + + +sz = CPD.sizes; +ns = zeros(1, max(domain)); +ns(domain) = sz; + +odom = domain(~isemptycell(evidence(domain))); +ps = domain(1:end-1); +cps = ps(CPD.cps); +dps = ps(CPD.dps); +self = domain(end); +cdom = [cps(:)' self]; +ddom = dps; +cnodes = cdom; + +[m, C, W] = gaussian_CPD_params_given_dps(CPD, domain, evidence); + + +ns(odom) = 1; +dpsize = prod(ns(dps)); +self = domain(end); +assert(myismember(self, odom)); +self_val = evidence{self}; +T = zeros(dpsize, 1); +if length(cps) > 0 + assert(~any(isemptycell(evidence(cps)))); + cps_vals = cat(1, evidence{cps}); + for i=1:dpsize + T(i) = gaussian_prob(self_val, m(:,i) + W(:,:,i)*cps_vals, C(:,:,i)); + end +else + for i=1:dpsize + T(i) = gaussian_prob(self_val, m(:,i), C(:,:,i)); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/display.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/display.m new file mode 100644 index 00000000..a3d73c83 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/display.m @@ -0,0 +1,4 @@ +function display(CPD) + +disp('gaussian_CPD object'); +disp(struct(CPD)); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD.m new file mode 100644 index 00000000..de519218 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD.m @@ -0,0 +1,161 @@ +function CPD = gaussian_CPD(bnet, self, varargin) +% GAUSSIAN_CPD Make a conditional linear Gaussian distrib. +% +% CPD = gaussian_CPD(bnet, node, ...) will create a CPD with random parameters, +% where node is the number of a node in this equivalence class. + +% To define this CPD precisely, call the continuous (cts) parents (if any) X, +% the discrete parents (if any) Q, and this node Y. Then the distribution on Y is: +% - no parents: Y ~ N(mu, Sigma) +% - cts parents : Y|X=x ~ N(mu + W x, Sigma) +% - discrete parents: Y|Q=i ~ N(mu(i), Sigma(i)) +% - cts and discrete parents: Y|X=x,Q=i ~ N(mu(i) + W(i) x, Sigma(i)) +% +% The list below gives optional arguments [default value in brackets]. +% (Let ns(i) be the size of node i, X = ns(X), Y = ns(Y) and Q = prod(ns(Q)).) +% Parameters will be reshaped to the right size if necessary. +% +% mean - mu(:,i) is the mean given Q=i [ randn(Y,Q) ] +% cov - Sigma(:,:,i) is the covariance given Q=i [ repmat(100*eye(Y,Y), [1 1 Q]) ] +% weights - W(:,:,i) is the regression matrix given Q=i [ randn(Y,X,Q) ] +% cov_type - if 'diag', Sigma(:,:,i) is diagonal [ 'full' ] +% tied_cov - if 1, we constrain Sigma(:,:,i) to be the same for all i [0] +% clamp_mean - if 1, we do not adjust mu(:,i) during learning [0] +% clamp_cov - if 1, we do not adjust Sigma(:,:,i) during learning [0] +% clamp_weights - if 1, we do not adjust W(:,:,i) during learning [0] +% cov_prior_weight - weight given to I prior for estimating Sigma [0.01] +% cov_prior_entropic - if 1, we also use an entropic prior for Sigma [0] +% +% e.g., CPD = gaussian_CPD(bnet, i, 'mean', [0; 0], 'clamp_mean', 1) + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = init_fields; + clamp = 0; + CPD = class(CPD, 'gaussian_CPD', generic_CPD(clamp)); + return; +elseif isa(bnet, 'gaussian_CPD') + % This might occur if we are copying an object. + CPD = bnet; + return; +end +CPD = init_fields; + +CPD = class(CPD, 'gaussian_CPD', generic_CPD(0)); + +args = varargin; +ns = bnet.node_sizes; +ps = parents(bnet.dag, self); +dps = myintersect(ps, bnet.dnodes); +cps = myintersect(ps, bnet.cnodes); +fam_sz = ns([ps self]); + +CPD.self = self; +CPD.sizes = fam_sz; + +% Figure out which (if any) of the parents are discrete, and which cts, and how big they are +% dps = discrete parents, cps = cts parents +CPD.cps = find_equiv_posns(cps, ps); % cts parent index +CPD.dps = find_equiv_posns(dps, ps); +ss = fam_sz(end); +psz = fam_sz(1:end-1); +dpsz = prod(psz(CPD.dps)); +cpsz = sum(psz(CPD.cps)); + +% set default params +CPD.mean = randn(ss, dpsz); +CPD.cov = 100*repmat(eye(ss), [1 1 dpsz]); +CPD.weights = randn(ss, cpsz, dpsz); +CPD.cov_type = 'full'; +CPD.tied_cov = 0; +CPD.clamped_mean = 0; +CPD.clamped_cov = 0; +CPD.clamped_weights = 0; +CPD.cov_prior_weight = 0.01; +CPD.cov_prior_entropic = 0; +nargs = length(args); +if nargs > 0 + CPD = set_fields(CPD, args{:}); +end + +% Make sure the matrices have 1 dimension per discrete parent. +% Bug fix due to Xuejing Sun 3/6/01 +CPD.mean = myreshape(CPD.mean, [ss ns(dps)]); +CPD.cov = myreshape(CPD.cov, [ss ss ns(dps)]); +CPD.weights = myreshape(CPD.weights, [ss cpsz ns(dps)]); + +% Precompute indices into block structured matrices +% to speed up CPD_to_lambda_msg and CPD_to_pi +cpsizes = CPD.sizes(CPD.cps); +CPD.cps_block_ndx = cell(1, length(cps)); +for i=1:length(cps) + CPD.cps_block_ndx{i} = block(i, cpsizes); +end + +%%%%%%%%%%% +% Learning stuff + +% expected sufficient statistics +CPD.Wsum = zeros(dpsz,1); +CPD.WYsum = zeros(ss, dpsz); +CPD.WXsum = zeros(cpsz, dpsz); +CPD.WYYsum = zeros(ss, ss, dpsz); +CPD.WXXsum = zeros(cpsz, cpsz, dpsz); +CPD.WXYsum = zeros(cpsz, ss, dpsz); + +% For BIC +CPD.nsamples = 0; +switch CPD.cov_type + case 'full', + % since symmetric + %ncov_params = ss*(ss-1)/2; + ncov_params = ss*(ss+1)/2; + case 'diag', + ncov_params = ss; + otherwise + error(['unrecognized cov_type ' cov_type]); +end +% params = weights + mean + cov +if CPD.tied_cov + CPD.nparams = ss*cpsz*dpsz + ss*dpsz + ncov_params; +else + CPD.nparams = ss*cpsz*dpsz + ss*dpsz + dpsz*ncov_params; +end + +% for speeding up maximize_params +CPD.useC = exist('rep_mult'); + +clamped = CPD.clamped_mean && CPD.clamped_cov && CPD.clamped_weights; +CPD = set_clamped(CPD, clamped); + +%%%%%%%%%%% + +function CPD = init_fields() +% This ensures we define the fields in the same order +% no matter whether we load an object from a file, +% or create it from scratch. (Matlab requires this.) + +CPD.self = []; +CPD.sizes = []; +CPD.cps = []; +CPD.dps = []; +CPD.mean = []; +CPD.cov = []; +CPD.weights = []; +CPD.clamped_mean = []; +CPD.clamped_cov = []; +CPD.clamped_weights = []; +CPD.cov_type = []; +CPD.tied_cov = []; +CPD.Wsum = []; +CPD.WYsum = []; +CPD.WXsum = []; +CPD.WYYsum = []; +CPD.WXXsum = []; +CPD.WXYsum = []; +CPD.nsamples = []; +CPD.nparams = []; +CPD.cov_prior_weight = []; +CPD.cov_prior_entropic = []; +CPD.useC = []; +CPD.cps_block_ndx = []; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD_params_given_dps.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD_params_given_dps.m new file mode 100644 index 00000000..72231a76 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/gaussian_CPD_params_given_dps.m @@ -0,0 +1,28 @@ +function [m, C, W] = gaussian_CPD_params_given_dps(CPD, domain, evidence) +% GAUSSIAN_CPD_PARAMS_GIVEN_EV_ON_DPS Extract parameters given evidence on all discrete parents +% function [m, C, W] = gaussian_CPD_params_given_ev_on_dps(CPD, domain, evidence) + +ps = domain(1:end-1); +dps = ps(CPD.dps); +if isempty(dps) + m = CPD.mean; + C = CPD.cov; + W = CPD.weights; +else + odom = domain(~isemptycell(evidence(domain))); + dops = myintersect(dps, odom); + dpvals = cat(1, evidence{dops}); + if length(dops) == length(dps) + dpsizes = CPD.sizes(CPD.dps); + dpval = subv2ind(dpsizes, dpvals(:)'); + m = CPD.mean(:, dpval); + C = CPD.cov(:, :, dpval); + W = CPD.weights(:, :, dpval); + else + map = find_equiv_posns(dops, dps); + index = mk_multi_index(length(dps), map, dpvals); + m = CPD.mean(:, index{:}); + C = CPD.cov(:, :, index{:}); + W = CPD.weights(:, :, index{:}); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/get_field.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/get_field.m new file mode 100644 index 00000000..2a50e1ac --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/get_field.m @@ -0,0 +1,19 @@ +function val = get_params(CPD, name) +% GET_PARAMS Get the parameters (fields) for a gaussian_CPD object +% val = get_params(CPD, name) +% +% The following fields can be accessed +% +% mean - mu(:,i) is the mean given Q=i +% cov - Sigma(:,:,i) is the covariance given Q=i +% weights - W(:,:,i) is the regression matrix given Q=i +% +% e.g., mean = get_params(CPD, 'mean') + +switch name + case 'mean', val = CPD.mean; + case 'cov', val = CPD.cov; + case 'weights', val = CPD.weights; + otherwise, + error(['invalid argument name ' name]); +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/learn_params.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/learn_params.m new file mode 100644 index 00000000..7ae5cb52 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/learn_params.m @@ -0,0 +1,31 @@ +function CPD = learn_params(CPD, fam, data, ns, cnodes) +%function CPD = learn_params(CPD, fam, data, ns, cnodes) +% LEARN_PARAMS Compute the maximum likelihood estimate of the params of a gaussian CPD given complete data +% CPD = learn_params(CPD, fam, data, ns, cnodes) +% +% data(i,m) is the value of node i in case m (can be cell array). +% We assume this node has a maximize_params method. + +ncases = size(data, 2); +CPD = reset_ess(CPD); +% make a fully observed joint distribution over the family +fmarginal.domain = fam; +fmarginal.T = 1; +fmarginal.mu = []; +fmarginal.Sigma = []; +if ~iscell(data) + cases = num2cell(data); +else + cases = data; +end +hidden_bitv = zeros(1, max(fam)); +for m=1:ncases + % specify (as a bit vector) which elements in the family domain are hidden + hidden_bitv = zeros(1, max(fmarginal.domain)); + ev = cases(:,m); + hidden_bitv(find(isempty(ev)))=1; + CPD = update_ess(CPD, fmarginal, ev, ns, cnodes, hidden_bitv); +end +CPD = maximize_params(CPD); + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/log_prob_node.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/log_prob_node.m new file mode 100644 index 00000000..ac10f8a3 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/log_prob_node.m @@ -0,0 +1,49 @@ +function L = log_prob_node(CPD, self_ev, pev) +% LOG_PROB_NODE Compute prod_m log P(x(i,m)| x(pi_i,m), theta_i) for node i (gaussian) +% L = log_prob_node(CPD, self_ev, pev) +% +% self_ev(m) is the evidence on this node in case m. +% pev(i,m) is the evidence on the i'th parent in case m (if there are any parents). +% (These may also be cell arrays.) + +if iscell(self_ev), usecell = 1; else usecell = 0; end + +use_log = 1; +ncases = length(self_ev); +nparents = length(CPD.sizes)-1; +assert(ncases == size(pev, 2)); + +if ncases == 0 + L = 0; + return; +end + +L = 0; +for m=1:ncases + if isempty(CPD.dps) + i = 1; + else + if usecell + dpvals = cat(1, pev{CPD.dps, m}); + else + dpvals = pev(CPD.dps, m); + end + i = subv2ind(CPD.sizes(CPD.dps), dpvals(:)'); + end + if usecell + y = self_ev{m}; + else + y = self_ev(m); + end + if length(CPD.cps) == 0 + L = L + gaussian_prob(y, CPD.mean(:,i), CPD.cov(:,:,i), use_log); + else + if usecell + x = cat(1, pev{CPD.cps, m}); + else + x = pev(CPD.cps, m); + end + L = L + gaussian_prob(y, CPD.mean(:,i) + CPD.weights(:,:,i)*x, CPD.cov(:,:,i), use_log); + end +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params.m new file mode 100644 index 00000000..1624cbf2 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params.m @@ -0,0 +1,68 @@ +function CPD = maximize_params(CPD, temp) +% MAXIMIZE_PARAMS Set the params of a CPD to their ML values (Gaussian) +% CPD = maximize_params(CPD, temperature) +% +% Temperature is currently ignored. + +if ~adjustable_CPD(CPD), return; end + + +if CPD.clamped_mean + cl_mean = CPD.mean; +else + cl_mean = []; +end + +if CPD.clamped_cov + cl_cov = CPD.cov; +else + cl_cov = []; +end + +if CPD.clamped_weights + cl_weights = CPD.weights; +else + cl_weights = []; +end + +[ssz psz Q] = size(CPD.weights); + +[ss cpsz dpsz] = size(CPD.weights); % ss = self size = ssz +if cpsz > CPD.nsamples + fprintf('gaussian_CPD/maximize_params: warning: input dimension (%d) > nsamples (%d)\n', ... + cpsz, CPD.nsamples); +end + +prior = repmat(CPD.cov_prior_weight*eye(ssz,ssz), [1 1 Q]); + + +[CPD.mean, CPD.cov, CPD.weights] = ... + clg_Mstep(CPD.Wsum, CPD.WYsum, CPD.WYYsum, [], CPD.WXsum, CPD.WXXsum, CPD.WXYsum, ... + 'cov_type', CPD.cov_type, 'clamped_mean', cl_mean, ... + 'clamped_cov', cl_cov, 'clamped_weights', cl_weights, ... + 'tied_cov', CPD.tied_cov, ... + 'cov_prior', prior); + +if 0 +CPD.mean = reshape(CPD.mean, [ss dpsz]); +CPD.cov = reshape(CPD.cov, [ss ss dpsz]); +CPD.weights = reshape(CPD.weights, [ss cpsz dpsz]); +end + +% Bug fix 11 May 2003 KPM +% clg_Mstep collapses all discrete parents into one mega-node +% but convert_to_CPT needs access to each parent separately +sz = CPD.sizes; +ss = sz(end); + +% Bug fix KPM 20 May 2003: +cpsz = sum(sz(CPD.cps)); +%if isempty(CPD.cps) +% cpsz = 0; +%else +% cpsz = sz(CPD.cps); +%end +dpsz = sz(CPD.dps); +CPD.mean = myreshape(CPD.mean, [ss dpsz]); +CPD.cov = myreshape(CPD.cov, [ss ss dpsz]); +CPD.weights = myreshape(CPD.weights, [ss cpsz dpsz]); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params_debug.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params_debug.m new file mode 100644 index 00000000..a588756d --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/maximize_params_debug.m @@ -0,0 +1,189 @@ +function CPD = maximize_params(CPD, temp) +% MAXIMIZE_PARAMS Set the params of a CPD to their ML values (Gaussian) +% CPD = maximize_params(CPD, temperature) +% +% Temperature is currently ignored. + +if ~adjustable_CPD(CPD), return; end + +CPD1 = struct(new_maximize_params(CPD)); +CPD2 = struct(old_maximize_params(CPD)); +assert(approxeq(CPD1.mean, CPD2.mean)) +assert(approxeq(CPD1.cov, CPD2.cov)) +assert(approxeq(CPD1.weights, CPD2.weights)) + +CPD = new_maximize_params(CPD); + +%%%%%%% +function CPD = new_maximize_params(CPD) + +if CPD.clamped_mean + cl_mean = CPD.mean; +else + cl_mean = []; +end + +if CPD.clamped_cov + cl_cov = CPD.cov; +else + cl_cov = []; +end + +if CPD.clamped_weights + cl_weights = CPD.weights; +else + cl_weights = []; +end + +[ssz psz Q] = size(CPD.weights); + +prior = repmat(CPD.cov_prior_weight*eye(ssz,ssz), [1 1 Q]); +[CPD.mean, CPD.cov, CPD.weights] = ... + Mstep_clg('w', CPD.Wsum, 'YY', CPD.WYYsum, 'Y', CPD.WYsum, 'YTY', [], ... + 'XX', CPD.WXXsum, 'XY', CPD.WXYsum, 'X', CPD.WXsum, ... + 'cov_type', CPD.cov_type, 'clamped_mean', cl_mean, ... + 'clamped_cov', cl_cov, 'clamped_weights', cl_weights, ... + 'tied_cov', CPD.tied_cov, ... + 'cov_prior', prior); + + +%%%%%%%%%%% + +function CPD = old_maximize_params(CPD) + + +if ~adjustable_CPD(CPD), return; end + +%assert(approxeq(CPD.nsamples, sum(CPD.Wsum))); +assert(~any(isnan(CPD.WXXsum))) +assert(~any(isnan(CPD.WXYsum))) +assert(~any(isnan(CPD.WYYsum))) + +[self_size cpsize dpsize] = size(CPD.weights); + +% Append 1s to the parents, and derive the corresponding cross products. +% This is used when estimate the means and weights simultaneosuly, +% and when estimatting Sigma. +% Let x2 = [x 1]' +XY = zeros(cpsize+1, self_size, dpsize); % XY(:,:,i) = sum_l w(l,i) x2(l) y(l)' +XX = zeros(cpsize+1, cpsize+1, dpsize); % XX(:,:,i) = sum_l w(l,i) x2(l) x2(l)' +YY = zeros(self_size, self_size, dpsize); % YY(:,:,i) = sum_l w(l,i) y(l) y(l)' +for i=1:dpsize + XY(:,:,i) = [CPD.WXYsum(:,:,i) % X*Y + CPD.WYsum(:,i)']; % 1*Y + % [x * [x' 1] = [xx' x + % 1] x' 1] + XX(:,:,i) = [CPD.WXXsum(:,:,i) CPD.WXsum(:,i); + CPD.WXsum(:,i)' CPD.Wsum(i)]; + YY(:,:,i) = CPD.WYYsum(:,:,i); +end + +w = CPD.Wsum(:); +% Set any zeros to one before dividing +% This is valid because w(i)=0 => WYsum(:,i)=0, etc +w = w + (w==0); + +if CPD.clamped_mean + % Estimating B2 and then setting the last column (the mean) to the clamped mean is *not* equivalent + % to estimating B and then adding the clamped_mean to the last column. + if ~CPD.clamped_weights + B = zeros(self_size, cpsize, dpsize); + for i=1:dpsize + if det(CPD.WXXsum(:,:,i))==0 + B(:,:,i) = 0; + else + % Eqn 9 in table 2 of TR + %B(:,:,i) = CPD.WXYsum(:,:,i)' * inv(CPD.WXXsum(:,:,i)); + B(:,:,i) = (CPD.WXXsum(:,:,i) \ CPD.WXYsum(:,:,i))'; + end + end + %CPD.weights = reshape(B, [self_size cpsize dpsize]); + CPD.weights = B; + end +elseif CPD.clamped_weights % KPM 1/25/02 + if ~CPD.clamped_mean % ML estimate is just sample mean of the residuals + for i=1:dpsize + CPD.mean(:,i) = (CPD.WYsum(:,i) - CPD.weights(:,:,i) * CPD.WXsum(:,i)) / w(i); + end + end +else % nothing is clamped, so estimate mean and weights simultaneously + B2 = zeros(self_size, cpsize+1, dpsize); + for i=1:dpsize + if det(XX(:,:,i))==0 % fix by U. Sondhauss 6/27/99 + B2(:,:,i)=0; + else + % Eqn 9 in table 2 of TR + %B2(:,:,i) = XY(:,:,i)' * inv(XX(:,:,i)); + B2(:,:,i) = (XX(:,:,i) \ XY(:,:,i))'; + end + CPD.mean(:,i) = B2(:,cpsize+1,i); + CPD.weights(:,:,i) = B2(:,1:cpsize,i); + end +end + +% Let B2 = [W mu] +if cpsize>0 + B2(:,1:cpsize,:) = reshape(CPD.weights, [self_size cpsize dpsize]); +end +B2(:,cpsize+1,:) = reshape(CPD.mean, [self_size dpsize]); + +% To avoid singular covariance matrices, +% we use the regularization method suggested in "A Quasi-Bayesian approach to estimating +% parameters for mixtures of normal distributions", Hamilton 91. +% If the ML estimate is Sigma = M/N, the MAP estimate is (M+gamma*I) / (N+gamma), +% where gamma >=0 is a smoothing parameter (equivalent sample size of I prior) + +gamma = CPD.cov_prior_weight; + +if ~CPD.clamped_cov + if CPD.cov_prior_entropic % eqn 12 of Brand AI/Stat 99 + Z = 1-temp; + % When temp > 1, Z is negative, so we are dividing by a smaller + % number, ie. increasing the variance. + else + Z = 0; + end + if CPD.tied_cov + S = zeros(self_size, self_size); + % Eqn 2 from table 2 in TR + for i=1:dpsize + S = S + (YY(:,:,i) - B2(:,:,i)*XY(:,:,i)); + end + %denom = CPD.nsamples + gamma + Z; + denom = CPD.nsamples + Z; + S = (S + gamma*eye(self_size)) / denom; + if strcmp(CPD.cov_type, 'diag') + S = diag(diag(S)); + end + CPD.cov = repmat(S, [1 1 dpsize]); + else + for i=1:dpsize + % Eqn 1 from table 2 in TR + S = YY(:,:,i) - B2(:,:,i)*XY(:,:,i); + %denom = w(i) + gamma + Z; + denom = w(i) + Z; + S = (S + gamma*eye(self_size)) / denom; + CPD.cov(:,:,i) = S; + end + if strcmp(CPD.cov_type, 'diag') + for i=1:dpsize + CPD.cov(:,:,i) = diag(diag(CPD.cov(:,:,i))); + end + end + end +end + + +check_covars = 0; +min_covar = 1e-5; +if check_covars % prevent collapsing to a point + for i=1:dpsize + if min(svd(CPD.cov(:,:,i))) < min_covar + disp(['resetting singular covariance for node ' num2str(CPD.self)]); + CPD.cov(:,:,i) = CPD.init_cov(:,:,i); + end + end +end + + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CPD_to_linear_gaussian.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CPD_to_linear_gaussian.m new file mode 100644 index 00000000..dfc0cccc --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CPD_to_linear_gaussian.m @@ -0,0 +1,19 @@ +function [mu, Sigma, W] = CPD_to_linear_gaussian(CPD, domain, ns, cnodes, evidence) + +ps = domain(1:end-1); +dnodes = mysetdiff(1:length(ns), cnodes); +dps = myintersect(ps, dnodes); % discrete parents + +if isempty(dps) + Q = 1; +else + assert(~any(isemptycell(evidence(dps)))); + dpvals = cat(1, evidence{dps}); + Q = subv2ind(ns(dps), dpvals(:)'); +end + +mu = CPD.mean(:,Q); +Sigma = CPD.cov(:,:,Q); +W = CPD.weights(:,:,Q); + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Entries new file mode 100644 index 00000000..afb40930 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Entries @@ -0,0 +1,2 @@ +/CPD_to_linear_gaussian.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Repository new file mode 100644 index 00000000..8aa921a1 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@gaussian_CPD/private diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/private/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/reset_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/reset_ess.m new file mode 100644 index 00000000..d27105f0 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/reset_ess.m @@ -0,0 +1,11 @@ +function CPD = reset_ess(CPD) +% RESET_ESS Reset the Expected Sufficient Statistics for a Gaussian CPD. +% CPD = reset_ess(CPD) + +CPD.nsamples = 0; +CPD.Wsum = zeros(size(CPD.Wsum)); +CPD.WYsum = zeros(size(CPD.WYsum)); +CPD.WYYsum = zeros(size(CPD.WYYsum)); +CPD.WXsum = zeros(size(CPD.WXsum)); +CPD.WXXsum = zeros(size(CPD.WXXsum)); +CPD.WXYsum = zeros(size(CPD.WXYsum)); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/sample_node.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/sample_node.m new file mode 100644 index 00000000..74875eeb --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/sample_node.m @@ -0,0 +1,22 @@ +function y = sample_node(CPD, pev) +% SAMPLE_NODE Draw a random sample from P(Xi | x(pi_i), theta_i) (gaussian) +% y = sample_node(CPD, parent_evidence) +% +% pev{i} is the value of the i'th parent (if there are any parents) +% y is the sampled value (a scalar or vector) + +if length(CPD.dps)==0 + i = 1; +else + dpvals = cat(1, pev{CPD.dps}); + i = subv2ind(CPD.sizes(CPD.dps), dpvals(:)'); +end + +if length(CPD.cps) == 0 + y = gsamp(CPD.mean(:,i), CPD.cov(:,:,i), 1); +else + pev = pev(:); + x = cat(1, pev{CPD.cps}); + y = gsamp(CPD.mean(:,i) + CPD.weights(:,:,i)*x(:), CPD.cov(:,:,i), 1); +end +y = y(:); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/set_fields.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/set_fields.m new file mode 100644 index 00000000..4c1aef22 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/set_fields.m @@ -0,0 +1,43 @@ +function CPD = set_fields(CPD, varargin) +% SET_PARAMS Set the parameters (fields) for a gaussian_CPD object +% CPD = set_params(CPD, name/value pairs) +% +% The following optional arguments can be specified in the form of name/value pairs: +% +% mean - mu(:,i) is the mean given Q=i +% cov - Sigma(:,:,i) is the covariance given Q=i +% weights - W(:,:,i) is the regression matrix given Q=i +% cov_type - if 'diag', Sigma(:,:,i) is diagonal +% tied_cov - if 1, we constrain Sigma(:,:,i) to be the same for all i +% clamp_mean - if 1, we do not adjust mu(:,i) during learning +% clamp_cov - if 1, we do not adjust Sigma(:,:,i) during learning +% clamp_weights - if 1, we do not adjust W(:,:,i) during learning +% clamp - if 1, we do not adjust any params +% cov_prior_weight - weight given to I prior for estimating Sigma +% cov_prior_entropic - if 1, we also use an entropic prior for Sigma [0] +% +% e.g., CPD = set_params(CPD, 'mean', [0;0]) + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'mean', CPD.mean = args{i+1}; + case 'cov', CPD.cov = args{i+1}; + case 'weights', CPD.weights = args{i+1}; + case 'cov_type', CPD.cov_type = args{i+1}; + %case 'tied_cov', CPD.tied_cov = strcmp(args{i+1}, 'yes'); + case 'tied_cov', CPD.tied_cov = args{i+1}; + case 'clamp_mean', CPD.clamped_mean = args{i+1}; + case 'clamp_cov', CPD.clamped_cov = args{i+1}; + case 'clamp_weights', CPD.clamped_weights = args{i+1}; + case 'clamp', clamp = args{i+1}; + CPD.clamped_mean = clamp; + CPD.clamped_cov = clamp; + CPD.clamped_weights = clamp; + case 'cov_prior_weight', CPD.cov_prior_weight = args{i+1}; + case 'cov_prior_entropic', CPD.cov_prior_entropic = args{i+1}; + otherwise, + error(['invalid argument name ' args{i}]); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/update_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/update_ess.m new file mode 100644 index 00000000..3b58c02e --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gaussian_CPD/update_ess.m @@ -0,0 +1,88 @@ +function CPD = update_ess(CPD, fmarginal, evidence, ns, cnodes, hidden_bitv) +% UPDATE_ESS Update the Expected Sufficient Statistics of a Gaussian node +% function CPD = update_ess(CPD, fmarginal, evidence, ns, cnodes, hidden_bitv) + +%if nargin < 6 +% hidden_bitv = zeros(1, max(fmarginal.domain)); +% hidden_bitv(find(isempty(evidence)))=1; +%end + +dom = fmarginal.domain; +self = dom(end); +ps = dom(1:end-1); +cps = myintersect(ps, cnodes); +dps = mysetdiff(ps, cps); + +CPD.nsamples = CPD.nsamples + 1; +[ss cpsz dpsz] = size(CPD.weights); % ss = self size +[ss dpsz] = size(CPD.mean); + +% Let X be the cts parent (if any), Y be the cts child (self). + +if ~hidden_bitv(self) && ~any(hidden_bitv(cps)) && all(hidden_bitv(dps)) + % Speedup for the common case that all cts nodes are observed, all discrete nodes are hidden + % Since X and Y are observed, SYY = 0, SXX = 0, SXY = 0 + % Since discrete parents are hidden, we do not need to add evidence to w. + w = fmarginal.T(:); + CPD.Wsum = CPD.Wsum + w; + y = evidence{self}; + Cyy = y*y'; + if ~CPD.useC + WY = repmat(w(:)',ss,1); % WY(y,i) = w(i) + WYY = repmat(reshape(WY, [ss 1 dpsz]), [1 ss 1]); % WYY(y,y',i) = w(i) + %CPD.WYsum = CPD.WYsum + WY .* repmat(y(:), 1, dpsz); + CPD.WYsum = CPD.WYsum + y(:) * w(:)'; + CPD.WYYsum = CPD.WYYsum + WYY .* repmat(reshape(Cyy, [ss ss 1]), [1 1 dpsz]); + else + W = w(:)'; + W2 = reshape(W, [1 1 dpsz]); + CPD.WYsum = CPD.WYsum + rep_mult(W, y(:), size(CPD.WYsum)); + CPD.WYYsum = CPD.WYYsum + rep_mult(W2, Cyy, size(CPD.WYYsum)); + end + if cpsz > 0 % X exists + x = cat(1, evidence{cps}); x = x(:); + Cxx = x*x'; + Cxy = x*y'; + WX = repmat(w(:)',cpsz,1); % WX(x,i) = w(i) + WXX = repmat(reshape(WX, [cpsz 1 dpsz]), [1 cpsz 1]); % WXX(x,x',i) = w(i) + WXY = repmat(reshape(WX, [cpsz 1 dpsz]), [1 ss 1]); % WXY(x,y,i) = w(i) + if ~CPD.useC + CPD.WXsum = CPD.WXsum + WX .* repmat(x(:), 1, dpsz); + CPD.WXXsum = CPD.WXXsum + WXX .* repmat(reshape(Cxx, [cpsz cpsz 1]), [1 1 dpsz]); + CPD.WXYsum = CPD.WXYsum + WXY .* repmat(reshape(Cxy, [cpsz ss 1]), [1 1 dpsz]); + else + CPD.WXsum = CPD.WXsum + rep_mult(W, x(:), size(CPD.WXsum)); + CPD.WXXsum = CPD.WXXsum + rep_mult(W2, Cxx, size(CPD.WXXsum)); + CPD.WXYsum = CPD.WXYsum + rep_mult(W2, Cxy, size(CPD.WXYsum)); + end + end + return; +end + +% general (non-vectorized) case +fullm = add_evidence_to_gmarginal(fmarginal, evidence, ns, cnodes); % slow! + +if dpsz == 1 % no discrete parents + w = 1; +else + w = fullm.T(:); +end + +CPD.Wsum = CPD.Wsum + w; +xi = 1:cpsz; +yi = (cpsz+1):(cpsz+ss); +for i=1:dpsz + muY = fullm.mu(yi, i); + SYY = fullm.Sigma(yi, yi, i); + CPD.WYsum(:,i) = CPD.WYsum(:,i) + w(i)*muY; + CPD.WYYsum(:,:,i) = CPD.WYYsum(:,:,i) + w(i)*(SYY + muY*muY'); % E[X Y] = Cov[X,Y] + E[X] E[Y] + if cpsz > 0 + muX = fullm.mu(xi, i); + SXX = fullm.Sigma(xi, xi, i); + SXY = fullm.Sigma(xi, yi, i); + CPD.WXsum(:,i) = CPD.WXsum(:,i) + w(i)*muX; + CPD.WXXsum(:,:,i) = CPD.WXXsum(:,:,i) + w(i)*(SXX + muX*muX'); + CPD.WXYsum(:,:,i) = CPD.WXYsum(:,:,i) + w(i)*(SXY + muX*muY'); + end +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries new file mode 100644 index 00000000..47f0e262 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries @@ -0,0 +1,8 @@ +/README/1.1.1.1/Wed May 29 15:59:52 2002// +/adjustable_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/display.m/1.1.1.1/Wed May 29 15:59:52 2002// +/generic_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/learn_params.m/1.1.1.1/Thu Jun 10 01:53:20 2004// +/log_prior.m/1.1.1.1/Wed May 29 15:59:52 2002// +/set_clamped.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries.Log b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries.Log new file mode 100644 index 00000000..24f16336 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Entries.Log @@ -0,0 +1 @@ +A D/Old//// diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Repository new file mode 100644 index 00000000..19ab61e0 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@generic_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/BIC_score_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/BIC_score_CPD.m new file mode 100644 index 00000000..a73d073b --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/BIC_score_CPD.m @@ -0,0 +1,26 @@ +function score = BIC_score_CPD(CPD, fam, data, ns, cnodes) +% BIC_score_CPD Compute the BIC score of a generic CPD +% score = BIC_score_CPD(CPD, fam, data, ns, cnodes) +% +% We assume this node has a maximize_params method + +ncases = size(data, 2); +CPD = reset_ess(CPD); +% make a fully observed joint distribution over the family +fmarginal.domain = fam; +fmarginal.T = 1; +fmarginal.mu = []; +fmarginal.Sigma = []; +if ~iscell(data) + cases = num2cell(data); +else + cases = data; +end +for m=1:ncases + CPD = update_ess(CPD, fmarginal, cases(:,m), ns, cnodes); +end +CPD = maximize_params(CPD); +self = fam(end); +ps = fam(1:end-1); +L = log_prob_node(CPD, cases(self,:), cases(ps,:)); +score = L - 0.5*CPD.nparams*log(ncases); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CPD_to_dpots.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CPD_to_dpots.m new file mode 100644 index 00000000..47daac88 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CPD_to_dpots.m @@ -0,0 +1,16 @@ +function pots = CPD_to_dpots(CPD, domain, ns, cnodes, evidence) +% CPD_TO_DPOTS Convert the CPD to several discrete potentials, for different instantiations (generic) +% pots = CPD_to_dpots(CPD, domain, ns, cnodes, evidence) +% +% domain(:,i) is the domain of the i'th instantiation of CPD. +% node_sizes(i) is the size of node i. +% cnodes = all the cts nodes +% evidence{i} is the evidence on the i'th node. +% +% This just calls CPD_to_dpot for each domain. + +nCPDs = size(domain,2); +pots = cell(1,nCPDs); +for i=1:nCPDs + pots{i} = CPD_to_dpot(CPD, domain(:,i), ns, cnodes, evidence); +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Entries new file mode 100644 index 00000000..505b09aa --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Entries @@ -0,0 +1,3 @@ +/BIC_score_CPD.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_dpots.m/1.1.1.1/Wed May 29 15:59:52 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Repository new file mode 100644 index 00000000..96b94fc8 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@generic_CPD/Old diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/README b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/README new file mode 100644 index 00000000..7a9b164b --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/README @@ -0,0 +1,2 @@ +A generic CPD implements general purpose functions like 'display', +that subtypes can inherit. diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/adjustable_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/adjustable_CPD.m new file mode 100644 index 00000000..78feea55 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/adjustable_CPD.m @@ -0,0 +1,5 @@ +function p = adjustable_CPD(CPD) +% ADJUSTABLE_CPD Does this CPD have any adjustable params? (generic) +% p = adjustable_CPD(CPD) + +p = ~CPD.clamped; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/display.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/display.m new file mode 100644 index 00000000..001ab2c9 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/display.m @@ -0,0 +1,3 @@ +function display(CPD) + +disp(struct(CPD)); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/generic_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/generic_CPD.m new file mode 100644 index 00000000..66a85e6a --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/generic_CPD.m @@ -0,0 +1,8 @@ +function CPD = generic_CPD(clamped) +% GENERIC_CPD Virtual constructor for generic CPD +% CPD = discrete_CPD(clamped) + +if nargin < 1, clamped = 0; end + +CPD.clamped = clamped; +CPD = class(CPD, 'generic_CPD'); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/learn_params.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/learn_params.m new file mode 100644 index 00000000..c36eb004 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/learn_params.m @@ -0,0 +1,32 @@ +function CPD = learn_params(CPD, fam, data, ns, cnodes) +% LEARN_PARAMS Compute the maximum likelihood estimate of the params of a generic CPD given complete data +% CPD = learn_params(CPD, fam, data, ns, cnodes) +% +% data(i,m) is the value of node i in case m (can be cell array). +% We assume this node has a maximize_params method. + +%error('no longer supported') % KPM 1 Feb 03 + +if 1 +ncases = size(data, 2); +CPD = reset_ess(CPD); +% make a fully observed joint distribution over the family +fmarginal.domain = fam; +fmarginal.T = 1; +fmarginal.mu = []; +fmarginal.Sigma = []; +if ~iscell(data) + cases = num2cell(data); +else + cases = data; +end +hidden_bitv = zeros(1, max(fam)); +for m=1:ncases + % specify (as a bit vector) which elements in the family domain are hidden + hidden_bitv = zeros(1, max(fmarginal.domain)); + ev = cases(:,m); + hidden_bitv(find(isempty(evidence)))=1; + CPD = update_ess(CPD, fmarginal, ev, ns, cnodes, hidden_bitv); +end +CPD = maximize_params(CPD); +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/log_prior.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/log_prior.m new file mode 100644 index 00000000..a73dcde0 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/log_prior.m @@ -0,0 +1,5 @@ +function L = log_prior(CPD) +% LOG_PRIOR Return log P(theta) for a generic CPD - we return 0 +% L = log_prior(CPD) + +L = 0; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/set_clamped.m b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/set_clamped.m new file mode 100644 index 00000000..5ad68037 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@generic_CPD/set_clamped.m @@ -0,0 +1,3 @@ +function CPD = set_clamped(CPD, bit) + +CPD.clamped = bit; diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_lambda_msg.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_lambda_msg.m new file mode 100644 index 00000000..c323e8e5 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_lambda_msg.m @@ -0,0 +1,62 @@ +function lam_msg = CPD_to_lambda_msg(CPD, msg_type, n, ps, msg, p, evidence) +% CPD_TO_LAMBDA_MSG Compute lambda message (gmux) +% lam_msg = compute_lambda_msg(CPD, msg_type, n, ps, msg, p, evidence) +% Pearl p183 eq 4.52 + +% Let Y be this node, X1..Xn be the cts parents and M the discrete switch node. +% e.g., for n=3, M=1 +% +% X1 X2 X3 M +% \ +% \ +% Y +% +% So the only case in which we send an informative message is if p=1=M. +% To the other cts parents, we send the "know nothing" message. + +switch msg_type + case 'd', + error('gaussian_CPD can''t create discrete msgs') + case 'g', + cps = ps(CPD.cps); + cpsizes = CPD.sizes(CPD.cps); + self_size = CPD.sizes(end); + i = find_equiv_posns(p, cps); % p is n's i'th cts parent + psz = cpsizes(i); + dps = ps(CPD.dps); + M = evidence{dps}; + if isempty(M) + error('gmux node must have observed discrete parent') + end + P = msg{n}.lambda.precision; + if all(P == 0) | (cps(M) ~= p) % if we know nothing, or are sending to a disconnected parent + lam_msg.precision = zeros(psz, psz); + lam_msg.info_state = zeros(psz, 1); + return; + end + % We are sending a message to the only effectively connected parent. + % There are no other incoming pi messages. + Bmu = CPD.mean(:,M); + BSigma = CPD.cov(:,:,M); + Bi = CPD.weights(:,:,M); + if (det(P) > 0) | isinf(P) + if isinf(P) % Y is observed + Sigma_lambda = zeros(self_size, self_size); % infinite precision => 0 variance + mu_lambda = msg{n}.lambda.mu; % observed_value; + else + Sigma_lambda = inv(P); + mu_lambda = Sigma_lambda * msg{n}.lambda.info_state; + end + C = inv(Sigma_lambda + BSigma); + lam_msg.precision = Bi' * C * Bi; + lam_msg.info_state = Bi' * C * (mu_lambda - Bmu); + else + % method that uses matrix inversion lemma + A = inv(P + inv(BSigma)); + C = P - P*A*P; + lam_msg.precision = Bi' * C * Bi; + D = eye(self_size) - P*A; + z = msg{n}.lambda.info_state; + lam_msg.info_state = Bi' * (D*z - D*P*Bmu); + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_pi.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_pi.m new file mode 100644 index 00000000..63b5726b --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CPD_to_pi.m @@ -0,0 +1,18 @@ +function pi = CPD_to_pi(CPD, msg_type, n, ps, msg, evidence) +% CPD_TO_PI Compute the pi vector (gaussian) +% function pi = CPD_to_pi(CPD, msg_type, n, ps, msg, evidence) + +switch msg_type + case 'd', + error('gaussian_CPD can''t create discrete msgs') + case 'g', + dps = ps(CPD.dps); + k = evidence{dps}; + if isempty(k) + error('gmux node must have observed discrete parent') + end + m = msg{n}.pi_from_parent{k}; + B = CPD.weights(:,:,k); + pi.mu = CPD.mean(:,k) + B * m.mu; + pi.Sigma = CPD.cov(:,:,k) + B * m.Sigma * B'; +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries new file mode 100644 index 00000000..2a911068 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries @@ -0,0 +1,7 @@ +/CPD_to_lambda_msg.m/1.1.1.1/Wed May 29 15:59:52 2002// +/CPD_to_pi.m/1.1.1.1/Wed May 29 15:59:54 2002// +/convert_to_pot.m/1.1.1.1/Wed May 29 15:59:52 2002// +/display.m/1.1.1.1/Wed May 29 15:59:54 2002// +/gmux_CPD.m/1.1.1.1/Wed May 29 15:59:54 2002// +/sample_node.m/1.1.1.1/Wed May 29 15:59:54 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries.Log b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries.Log new file mode 100644 index 00000000..24f16336 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Entries.Log @@ -0,0 +1 @@ +A D/Old//// diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Repository new file mode 100644 index 00000000..8d764710 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@gmux_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Entries new file mode 100644 index 00000000..f5a137ab --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Entries @@ -0,0 +1,2 @@ +/gmux_CPD.m/1.1.1.1/Wed May 29 15:59:54 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Repository new file mode 100644 index 00000000..20395ac5 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@gmux_CPD/Old diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/gmux_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/gmux_CPD.m new file mode 100644 index 00000000..5c9507cf --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/Old/gmux_CPD.m @@ -0,0 +1,92 @@ +function CPD = gmux_CPD(bnet, self, varargin) +% GMUX_CPD Make a Gaussian multiplexer node +% +% CPD = gmux_CPD(bnet, node, ...) is used similarly to gaussian_CPD, +% except we assume there is exactly one discrete parent (call it M) +% which is used to select which cts parent to pass through to the output. +% i.e., we define P(Y=y|M=m, X1, ..., XK) = N(y | W*x(m) + mu, Sigma) +% where Y represents this node, and the Xi's are the cts parents. +% All the Xi must have the same size, and the num values for M must be K. +% +% Currently the params for this kind of CPD cannot be learned. +% +% Optional arguments [ default in brackets ] +% +% mean - mu [zeros(Y,1)] +% cov - Sigma [eye(Y,Y)] +% weights - W [ randn(Y,X) ] + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = init_fields; + clamp = 0; + CPD = class(CPD, 'gmux_CPD', generic_CPD(clamp)); + return; +elseif isa(bnet, 'gmux_CPD') + % This might occur if we are copying an object. + CPD = bnet; + return; +end +CPD = init_fields; + +CPD = class(CPD, 'gmux_CPD', generic_CPD(1)); + +ns = bnet.node_sizes; +ps = parents(bnet.dag, self); +dps = myintersect(ps, bnet.dnodes); +cps = myintersect(ps, bnet.cnodes); +fam_sz = ns([ps self]); + +CPD.self = self; +CPD.sizes = fam_sz; + +% Figure out which (if any) of the parents are discrete, and which cts, and how big they are +% dps = discrete parents, cps = cts parents +CPD.cps = find_equiv_posns(cps, ps); % cts parent index +CPD.dps = find_equiv_posns(dps, ps); +if length(CPD.dps) ~= 1 + error('gmux must have exactly 1 discrete parent') +end +ss = fam_sz(end); +cpsz = fam_sz(CPD.cps(1)); % in gaussian_CPD, cpsz = sum(fam_sz(CPD.cps)) +if ~all(fam_sz(CPD.cps) == cpsz) + error('all cts parents must have same size') +end +dpsz = fam_sz(CPD.dps); +if dpsz ~= length(cps) + error(['the arity of the mux node is ' num2str(dpsz) ... + ' but there are ' num2str(length(cps)) ' cts parents']); +end + +% set default params +CPD.mean = zeros(ss, 1); +CPD.cov = eye(ss); +CPD.weights = randn(ss, cpsz); + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'mean', CPD.mean = args{i+1}; + case 'cov', CPD.cov = args{i+1}; + case 'weights', CPD.weights = args{i+1}; + otherwise, + error(['invalid argument name ' args{i}]); + end +end + +%%%%%%%%%%% + +function CPD = init_fields() +% This ensures we define the fields in the same order +% no matter whether we load an object from a file, +% or create it from scratch. (Matlab requires this.) + +CPD.self = []; +CPD.sizes = []; +CPD.cps = []; +CPD.dps = []; +CPD.mean = []; +CPD.cov = []; +CPD.weights = []; + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/convert_to_pot.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/convert_to_pot.m new file mode 100644 index 00000000..bf8c29c4 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/convert_to_pot.m @@ -0,0 +1,37 @@ +function pot = convert_to_pot(CPD, pot_type, domain, evidence) +% CONVERT_TO_POT Convert a gmux CPD to a Gaussian potential +% pot = convert_to_pot(CPD, pot_type, domain, evidence) + +switch pot_type + case {'d', 'u', 'cg', 'scg'}, + error(['can''t convert gmux to potential of type ' pot_type]) + + case {'c','g'}, + % We create a large weight matrix with zeros in all blocks corresponding + % to the non-chosen parents, since they are effectively disconnected. + % The chosen parent is determined by the value, m, of the discrete parent. + % Thus the potential is as large as the whole family. + ps = domain(1:end-1); + dps = ps(CPD.dps); % CPD.dps is an index, not a node number (because of param tying) + cps = ps(CPD.cps); + m = evidence{dps}; + if isempty(m) + error('gmux node must have observed discrete parent') + end + bs = CPD.sizes(CPD.cps); + b = block(m, bs); + sum_cpsz = sum(CPD.sizes(CPD.cps)); + selfsz = CPD.sizes(end); + W = zeros(selfsz, sum_cpsz); + W(:,b) = CPD.weights(:,:,m); + + ns = zeros(1, max(domain)); + ns(domain) = CPD.sizes; + self = domain(end); + cdom = [cps(:)' self]; + pot = linear_gaussian_to_cpot(CPD.mean(:,m), CPD.cov(:,:,m), W, domain, ns, cdom, evidence); + + otherwise, + error(['unrecognized pot_type' pot_type]) +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/display.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/display.m new file mode 100644 index 00000000..4b04168c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/display.m @@ -0,0 +1,4 @@ +function display(CPD) + +disp('gmux_CPD object'); +disp(struct(CPD)); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/gmux_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/gmux_CPD.m new file mode 100644 index 00000000..4cef195c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/gmux_CPD.m @@ -0,0 +1,95 @@ +function CPD = gmux_CPD(bnet, self, varargin) +% GMUX_CPD Make a Gaussian multiplexer node +% +% CPD = gmux_CPD(bnet, node, ...) is used similarly to gaussian_CPD, +% except we assume there is exactly one discrete parent (call it M) +% which is used to select which cts parent to pass through to the output. +% i.e., we define P(Y=y|M=m, X1, ..., XK) = N(y | W(m)*x(m) + mu(m), Sigma(m)) +% where Y represents this node, and the Xi's are the cts parents. +% All the Xi must have the same size, and the num values for M must be K. +% +% Currently the params for this kind of CPD cannot be learned. +% +% Optional arguments [ default in brackets ] +% +% mean - mu(:,i) is the mean given M=i [ zeros(Y,K) ] +% cov - Sigma(:,:,i) is the covariance given M=i [ repmat(1*eye(Y,Y), [1 1 K]) ] +% weights - W(:,:,i) is the regression matrix given M=i [ randn(Y,X,K) ] + +if nargin==0 + % This occurs if we are trying to load an object from a file. + CPD = init_fields; + clamp = 0; + CPD = class(CPD, 'gmux_CPD', generic_CPD(clamp)); + return; +elseif isa(bnet, 'gmux_CPD') + % This might occur if we are copying an object. + CPD = bnet; + return; +end +CPD = init_fields; + +CPD = class(CPD, 'gmux_CPD', generic_CPD(1)); + +ns = bnet.node_sizes; +ps = parents(bnet.dag, self); +dps = myintersect(ps, bnet.dnodes); +cps = myintersect(ps, bnet.cnodes); +fam_sz = ns([ps self]); + +CPD.self = self; +CPD.sizes = fam_sz; + +% Figure out which (if any) of the parents are discrete, and which cts, and how big they are +% dps = discrete parents, cps = cts parents +CPD.cps = find_equiv_posns(cps, ps); % cts parent index +CPD.dps = find_equiv_posns(dps, ps); +if length(CPD.dps) ~= 1 + error('gmux must have exactly 1 discrete parent') +end +ss = fam_sz(end); +cpsz = fam_sz(CPD.cps(1)); % in gaussian_CPD, cpsz = sum(fam_sz(CPD.cps)) +if ~all(fam_sz(CPD.cps) == cpsz) + error('all cts parents must have same size') +end +dpsz = fam_sz(CPD.dps); +if dpsz ~= length(cps) + error(['the arity of the mux node is ' num2str(dpsz) ... + ' but there are ' num2str(length(cps)) ' cts parents']); +end + +% set default params +%CPD.mean = zeros(ss, 1); +%CPD.cov = eye(ss); +%CPD.weights = randn(ss, cpsz); +CPD.mean = zeros(ss, dpsz); +CPD.cov = 1*repmat(eye(ss), [1 1 dpsz]); +CPD.weights = randn(ss, cpsz, dpsz); + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'mean', CPD.mean = args{i+1}; + case 'cov', CPD.cov = args{i+1}; + case 'weights', CPD.weights = args{i+1}; + otherwise, + error(['invalid argument name ' args{i}]); + end +end + +%%%%%%%%%%% + +function CPD = init_fields() +% This ensures we define the fields in the same order +% no matter whether we load an object from a file, +% or create it from scratch. (Matlab requires this.) + +CPD.self = []; +CPD.sizes = []; +CPD.cps = []; +CPD.dps = []; +CPD.mean = []; +CPD.cov = []; +CPD.weights = []; + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/sample_node.m b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/sample_node.m new file mode 100644 index 00000000..53842a5d --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@gmux_CPD/sample_node.m @@ -0,0 +1,10 @@ +function y = sample_node(CPD, pev) +% SAMPLE_NODE Draw a random sample from P(Xi | x(pi_i), theta_i) (gmux) +% y = sample_node(CPD, parent_evidence) +% +% parent_ev{i} is the value of the i'th parent + +dpval = pev{CPD.dps}; +x = pev{CPD.cps(dpval)}; +y = gsamp(CPD.mean(:,dpval) + CPD.weights(:,:,dpval)*x(:), CPD.cov(:,:,dpval), 1); +y = y(:); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CPD_to_CPT.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CPD_to_CPT.m new file mode 100644 index 00000000..1942f60f --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CPD_to_CPT.m @@ -0,0 +1,35 @@ +function CPT = CPD_to_CPT(CPD) +% Compute the big CPT for an HHMM Q node (including F parents) +% by combining internal transprob and startprob +% function CPT = CPD_to_CPT(CPD) + +Qsz = CPD.Qsz; + +if ~isempty(CPD.Fbelow_ndx) + if ~isempty(CPD.Fself_ndx) % general case + error('not implemented') + else % no F from self, hence no startprob (top level) + nps = length(CPD.dom_sz)-1; % num parents + CPT = 0*myones(CPD.dom_sz); + % when Fself=1, the CPT(i,j) = delta(i,j) for all k + for k=1:prod(CPD.Qpsizes) + Qps_vals = ind2subv(CPD.Qpsizes, k); + ndx = mk_multi_index(nps+1, [CPD.Fbelow_ndx CPD.Qps_ndx], [1 Qps_vals]); + CPT(ndx{:}) = eye(Qsz); % CPT(:,2,k,:) or CPT(:,k,2,:) etc + end + ndx = mk_multi_index(nps+1, CPD.Fbelow_ndx, 2); + CPT(ndx{:}) = CPD.transprob; % we assume transprob is in topo order + end +else % no F signal from below + if ~isempty(CPD.Fself_ndx) % bottom level + nps = length(CPD.dom_sz)-1; % num parents + CPT = 0*myones(CPD.dom_sz); + ndx = mk_multi_index(nps+1, CPD.Fself_ndx, 1); + CPT(ndx{:}) = CPD.transprob; + ndx = mk_multi_index(nps+1, CPD.Fself_ndx, 2); + CPT(ndx{:}) = CPD.startprob; + else % no F from self + error('An hhmmQ node without any F parents is just a tabular_CPD') + end +end + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Entries new file mode 100644 index 00000000..5e60dca6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Entries @@ -0,0 +1,6 @@ +/CPD_to_CPT.m/1.1.1.1/Tue Sep 24 12:46:46 2002// +/hhmm2Q_CPD.m/1.1.1.1/Tue Sep 24 22:34:40 2002// +/maximize_params.m/1.1.1.1/Tue Sep 24 22:44:36 2002// +/reset_ess.m/1.1.1.1/Tue Sep 24 22:36:16 2002// +/update_ess.m/1.1.1.1/Tue Sep 24 22:43:30 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Repository new file mode 100644 index 00000000..f66442c4 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@hhmm2Q_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/hhmm2Q_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/hhmm2Q_CPD.m new file mode 100644 index 00000000..c1a0cc20 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/hhmm2Q_CPD.m @@ -0,0 +1,65 @@ +function CPD = hhmm2Q_CPD(bnet, self, varargin) +% HHMMQ_CPD Make the CPD for a Q node in a 2 level hierarchical HMM +% CPD = hhmmQ_CPD(bnet, self, ...) +% +% Fself(t-1) Qps +% \ | +% \ v +% Qold(t-1) -> Q(t) +% / +% / +% Fbelow(t-1) +% +% +% optional args [defaults] +% +% Fself - node number <= ss +% Fbelow - node number <= ss +% Qps - node numbers (all <= 2*ss) - uses 2TBN indexing +% transprob - CPT for when Fbelow=2 and Fself=1 +% startprob - CPT for when Fbelow=2 and Fself=2 +% If Fbelow=1, we cannot change state. + +ss = bnet.nnodes_per_slice; +ns = bnet.node_sizes(:); + +% set default arguments +Fself = []; +Fbelow = []; +Qps = []; +startprob = []; +transprob = []; + +for i=1:2:length(varargin) + switch varargin{i}, + case 'Fself', Fself = varargin{i+1}; + case 'Fbelow', Fbelow = varargin{i+1}; + case 'Qps', Qps = varargin{i+1}; + case 'transprob', transprob = varargin{i+1}; + case 'startprob', startprob = varargin{i+1}; + end +end + +ps = parents(bnet.dag, self); +old_self = self-ss; +ndsz = ns(:)'; +CPD.dom_sz = [ndsz(ps) ns(self)]; +CPD.Fself_ndx = find_equiv_posns(Fself, ps); +CPD.Fbelow_ndx = find_equiv_posns(Fbelow, ps); +Qps = mysetdiff(ps, [Fself Fbelow old_self]); +CPD.Qps_ndx = find_equiv_posns(Qps, ps); +CPD.old_self_ndx = find_equiv_posns(old_self, ps); + +Qps = ps(CPD.Qps_ndx); +CPD.Qsz = ns(self); +CPD.Qpsizes = ns(Qps); + +CPD.transprob = transprob; +CPD.startprob = startprob; +CPD.start_counts = []; +CPD.trans_counts = []; + +CPD = class(CPD, 'hhmm2Q_CPD', discrete_CPD(0, CPD.dom_sz)); + + + diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/maximize_params.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/maximize_params.m new file mode 100644 index 00000000..9fe4d0ac --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/maximize_params.m @@ -0,0 +1,10 @@ +function CPD = maximize_params(CPD, temp) +% MAXIMIZE_PARAMS Set the params of a hhmmQ node to their ML/MAP values. +% CPD = maximize_params(CPD, temperature) + +if sum(CPD.start_counts(:)) > 0 + CPD.startprob = mk_stochastic(CPD.start_counts); +end +if sum(CPD.trans_counts(:)) > 0 + CPD.transprob = mk_stochastic(CPD.trans_counts); +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/reset_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/reset_ess.m new file mode 100644 index 00000000..8204c167 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/reset_ess.m @@ -0,0 +1,12 @@ +function CPD = reset_ess(CPD) +% RESET_ESS Reset the Expected Sufficient Statistics of a hhmm2 Q node. +% CPD = reset_ess(CPD) + +domsz = CPD.dom_sz; +domsz(CPD.Fself_ndx) = 1; +domsz(CPD.Fbelow_ndx) = 1; +Qdom_sz = domsz; +Qdom_sz(Qdom_sz==1)=[]; % get rid of dimensions of size 1 + +CPD.start_counts = zeros(Qdom_sz); +CPD.trans_counts = zeros(Qdom_sz); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/update_ess.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/update_ess.m new file mode 100644 index 00000000..1a15d26c --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmm2Q_CPD/update_ess.m @@ -0,0 +1,26 @@ +function CPD = update_ess(CPD, fmarginal, evidence, ns, cnodes, hidden_bitv) + +marg = add_ev_to_dmarginal(fmarginal, evidence, ns); + +nps = length(CPD.dom_sz)-1; % num parents + +if ~isempty(CPD.Fbelow_ndx) + if ~isempty(CPD.Fself_ndx) % general case + ndx = mk_multi_index(nps+1, [CPD.Fbelow_ndx CPD.Fself_ndx], [2 1]); + CPD.trans_counts = CPD.trans_counts + squeeze(marg.T(ndx{:})); + ndx = mk_multi_index(nps+1, [CPD.Fbelow_ndx CPD.Fself_ndx], [2 2]); + CPD.start_counts = CPD.start_counts + squeeze(marg.T(ndx{:})); + else % no F from self, hence no startprob (top level) + ndx = mk_multi_index(nps+1, CPD.Fbelow_ndx, 2); + CPD.trans_counts = CPD.trans_counts + squeeze(marg.T(ndx{:})); + end +else % no F signal from below + if ~isempty(CPD.Fself_ndx) % self F (bottom level) + ndx = mk_multi_index(nps+1, CPD.Fself_ndx, 1); + CPD.trans_counts = CPD.trans_counts + squeeze(marg.T(ndx{:})); + ndx = mk_multi_index(nps+1, CPD.Fself_ndx, 2); + CPD.start_counts = CPD.start_counts + squeeze(marg.T(ndx{:})); + else % no F from self or below + error('no F signal') + end +end diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Entries new file mode 100644 index 00000000..3e0cc360 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Entries @@ -0,0 +1,7 @@ +/hhmmF_CPD.m/1.1.1.1/Mon Jun 24 23:38:24 2002// +/log_prior.m/1.1.1.1/Wed May 29 15:59:54 2002// +/maximize_params.m/1.1.1.1/Wed May 29 15:59:54 2002// +/reset_ess.m/1.1.1.1/Wed May 29 15:59:54 2002// +/update_CPT.m/1.1.1.1/Mon Jun 24 22:45:04 2002// +/update_ess.m/1.1.1.1/Mon Jun 24 23:54:30 2002// +D/Old//// diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Repository new file mode 100644 index 00000000..7c96bc38 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@hhmmF_CPD diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Entries b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Entries new file mode 100644 index 00000000..3ab747df --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Entries @@ -0,0 +1,7 @@ +/hhmmF_CPD.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +/log_prior.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +/maximize_params.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +/reset_ess.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +/update_CPT.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +/update_ess.m/1.1.1.1/Mon Jun 24 22:35:06 2002// +D diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Repository b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Repository new file mode 100644 index 00000000..8981a516 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/BNT/CPDs/@hhmmF_CPD/Old diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Root b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/hhmmF_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/hhmmF_CPD.m new file mode 100644 index 00000000..4fdd9bc9 --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/Old/hhmmF_CPD.m @@ -0,0 +1,76 @@ +function CPD = hhmmF_CPD(bnet, self, Qnodes, d, D, varargin) +% HHMMF_CPD Make the CPD for an F node at depth D of a D-level hierarchical HMM +% CPD = hhmmF_CPD(bnet, self, Qnodes, d, D, ...) +% +% Q(d-1) +% \ +% \ +% F(d) +% / | +% / | +% Q(d) F(d+1) +% +% We assume nodes are ordered (numbered) as follows: +% Q(1), ... Q(d), F(d+1), F(d) +% +% F(d)=2 means level d has finished. The prob this happens depends on Q(d) +% and optionally on Q(d-1), Q(d=1), ..., Q(1). +% Also, level d can only finish if the level below has finished +% (hence the F(d+1) -> F(d) arc). +% +% If d=D, there is no F(d+1), so F(d) is just a regular tabular_CPD. +% If all models always finish in the same state (e.g., their last), +% we don't need to condition on the state of parent models (Q(d-1), ...) +% +% optional args [defaults] +% +% termprob - termprob(k,i,2) = prob finishing given Q(d)=i and Q(1:d-1)=k [ finish in last state ] +% +% hhmmF_CPD is a subclass of tabular_CPD so we inherit inference methods like CPD_to_pot, etc. +% +% We create an isolated tabular_CPD with no F parent to learn termprob +% so we can avail of e.g., entropic or Dirichlet priors. +% +% For details, see "Linear-time inference in hierarchical HMMs", Murphy and Paskin, NIPS'01. + + +ps = parents(bnet.dag, self); +Qps = myintersect(ps, Qnodes); +F = mysetdiff(ps, Qps); +CPD.Q = Qps(end); % Q(d) +assert(CPD.Q == Qnodes(d)); +CPD.Qps = Qps(1:end-1); % all Q parents except Q(d), i.e., calling context + +ns = bnet.node_sizes(:); +CPD.Qsizes = ns(Qnodes); +CPD.d = d; +CPD.D = D; + +Qsz = ns(CPD.Q); +Qpsz = prod(ns(CPD.Qps)); + +% set default arguments +p = 0.9; +%termprob(k,i,t) Might terminate if i=Qsz; will not terminate if i % We sum over the possibilities that F(d+1) = 1 or 2 + +obs_self = ~hidden_bitv(Q); +if obs_self + self_val = evidence{Q}; +end + +if isempty(Qps) % independent of parent context + counts = zeros(Qsz, 2); + %fmarginal.T(Q(d), F(d+1), F(d)) + if obs_self + marg = myreshape(fmarginal.T, [1 2 2]); + counts(self_val,:) = marg(1,2,:); + %counts(self_val,:) = marg(1,1,:) + marg(1,2,:); + else + marg = myreshape(fmarginal.T, [Qsz 2 2]); + counts = squeeze(marg(:,2,:)); + %counts = squeeze(marg(:,2,:)) + squeeze(marg(:,1,:)); + end +else + counts = zeros(Qpsz, Qsz, 2); + %fmarginal.T(Q(1:d-1), Q(d), F(d+1), F(d)) + obs_Qps = ~any(hidden_bitv(Qps)); % we assume that all or none of the Q parents are observed + if obs_Qps + Qps_val = subv2ind(Qpsz, cat(1, evidence{Qps})); + end + if obs_self & obs_Qps + marg = myreshape(fmarginal.T, [1 1 2 2]); + counts(Qps_val, self_val, :) = squeeze(marg(1,1,2,:)); + %counts(Qps_val, self_val, :) = squeeze(marg(1,1,2,:)) + squeeze(marg(1,1,1,:)); + elseif ~obs_self & obs_Qps + marg = myreshape(fmarginal.T, [1 Qsz 2 2]); + counts(Qps_val, :, :) = squeeze(marg(1,:,2,:)); + %counts(Qps_val, :, :) = squeeze(marg(1,:,2,:)) + squeeze(marg(1,:,1,:)); + elseif obs_self & ~obs_Qps + error('not yet implemented') + else + marg = myreshape(fmarginal.T, [Qpsz Qsz 2 2]); + counts(:, :, :) = squeeze(marg(:,:,2,:)); + %counts(:, :, :) = squeeze(marg(:,:,2,:)) + squeeze(marg(:,:,1,:)); + end +end + +CPD.sub_CPD_term = update_ess_simple(CPD.sub_CPD_term, counts); diff --git a/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/hhmmF_CPD.m b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/hhmmF_CPD.m new file mode 100644 index 00000000..0c15580e --- /dev/null +++ b/sourcecodes/bnt-master/BNT/CPDs/@hhmmF_CPD/hhmmF_CPD.m @@ -0,0 +1,73 @@ +function CPD = hhmmF_CPD(bnet, self, Qself, Fbelow, varargin) +% HHMMF_CPD Make the CPD for an F node in a hierarchical HMM +% CPD = hhmmF_CPD(bnet, self, Qself, Fbelow, ...) +% +% Qps +% \ +% \ +% Fself +% / | +% / | +% Qself Fbelow +% +% We assume nodes are ordered (numbered) as follows: Qps, Q, Fbelow, F +% All nodes numbers should be from slice 1. +% +% If Fbelow if missing, this becomes a regular tabular_CPD. +% Qps may be omitted. +% +% optional args [defaults] +% +% Qps - node numbers. +% termprob - termprob(k,i,2) = prob finishing given Q(d)=i and Q(1:d-1)=k [ finish in last state wp 0.9] +% +% hhmmF_CPD is a subclass of tabular_CPD so we inherit inference methods like CPD_to_pot, etc. +% +% We create an isolated tabular_CPD with no F parent to learn termprob +% so we can avail of e.g., entropic or Dirichlet priors. +% +% For details, see "Linear-time inference in hierarchical HMMs", Murphy and Paskin, NIPS'01. + + + +Qps = []; +% get parents +for i=1:2:length(varargin) + switch varargin{i}, + case 'Qps', Qps = varargin{i+1}; + end +end + +ns = bnet.node_sizes(:); +Qsz = ns(Qself); +Qpsz = prod(ns(Qps)); +CPD.Qsz = Qsz; +CPD.Qpsz = Qpsz; + +ps = parents(bnet.dag, self); +CPD.Fbelow_ndx = find_equiv_posns(Fbelow, ps); +CPD.Qps_ndx = find_equiv_posns(Qps, ps); +CPD.Qself_ndx = find_equiv_posns(Qself, ps); + +% set default arguments +p = 0.9; +%termprob(k,i,t) Might terminate if i=Qsz; will not terminate if i

] = ELLIPSE(X, Y, Rx, Ry, C) +% +% Inputs : +% X : N x 1 vector of x coordinates +% Y : N x 1 vector of y coordinates +% Rx, Ry : Radii +% C : Color index +% +% +% Outputs : +% P = Handles of Ellipse shaped path objects +% +% Usage Example : [] = ellipse(); +% +% +% Note : +% See also + +% Uses : + +% Change History : +% Date Time Prog Note +% 27-May-1998 9:55 AM ATC Created under MATLAB 5.1.0.421 + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +if (nargin < 2) error('Usage Example : e = ellipse([0 1],[0 -1],[1 0.5],[2 0.5]); '); end; +if (nargin < 3) rx = 0.1; end; +if (nargin < 4) ry = rx; end; +if (nargin < 5) c = 1; end; + +if length(c)==1, c = ones(size(x)).*c; end; +if length(rx)==1, rx = ones(size(x)).*rx; end; +if length(ry)==1, ry = ones(size(x)).*ry; end; + +n = length(x); +p = zeros(size(x)); +t = 0:pi/30:2*pi; +for i=1:n, + px = rx(i)*cos(t)+x(i); + py = ry(i)*sin(t)+y(i); + p(i) = patch(px,py,c(i)); +end; + +if nargout>0, pp = p; end; + +%%%%% + +function [t, wd] = textbox(x,y,str) +% TEXTBOX Draws A Box around the text +% +% [T, WIDTH] = TEXTBOX(X, Y, STR) +% [..] = TEXTBOX(STR) +% +% Inputs : +% X, Y : Coordinates +% TXT : Strings +% +% Outputs : +% T : Object Handles +% WIDTH : x and y Width of boxes +%% +% Usage Example : t = textbox({'Ali','Veli','49','50'}); +% +% +% Note : +% See also TEXTOVAL + +% Uses : + +% Change History : +% Date Time Prog Note +% 09-Jun-1998 11:43 AM ATC Created under MATLAB 5.1.0.421 + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +% See +temp = []; + +switch nargin, + case 1, + str = x; + if ~isa(str,'cell') str=cellstr(str); end; + N = length(str); + wd = zeros(N,2); + for i=1:N, + [x, y] = ginput(1); + tx = text(x,y,str{i},'HorizontalAlignment','center','VerticalAlign','middle'); + [ptc wx wy] = draw_box(tx, x, y); + wd(i,:) = [wx wy]; + delete(tx); + tx = text(x,y,str{i},'HorizontalAlignment','center','VerticalAlign','middle'); + temp = [temp; tx ptc]; + end; + case 3, + if ~isa(str,'cell') str=cellstr(str); end; + N = length(str); + for i=1:N, + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center','VerticalAlign','middle'); + [ptc wx wy] = draw_box(tx, x(i), y(i)); + wd(i,:) = [wx wy]; + delete(tx); + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center','VerticalAlign','middle'); + temp = [temp; tx ptc]; + end; + + otherwise, + +end; + +if nargout>0, t = temp; end; + + +function [ptc, wx, wy] = draw_box(tx, x, y) +% Draws a box around a tex object + sz = get(tx,'Extent'); + wy = 2/3*sz(4); + wx = max(2/3*sz(3), wy); + ptc = patch([x-wx x+wx x+wx x-wx], [y+wy y+wy y-wy y-wy],'w'); + set(ptc, 'FaceColor','w'); + diff --git a/sourcecodes/bnt-master/GraphViz/Old/graphToDot.m b/sourcecodes/bnt-master/GraphViz/Old/graphToDot.m new file mode 100644 index 00000000..1f3d232e --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/Old/graphToDot.m @@ -0,0 +1,84 @@ +function graphToDot(adj, varargin) +% GRAPHTODOT Makes a GraphViz (AT&T) ile representing an adjacency matrix +% function graphToDot(adj, ...) +% Optional arguments should be passed as name/value pairs [default] +% +% 'filename' - if omitted, writes to 'tmp.dot' +% 'arc_label' - arc_label{i,j} is a string attached to the i-j arc [""] +% 'node_label' - node_label{i} is a string attached to the node i ["i"] +% 'width' - width in inches [10] +% 'height' - height in inches [10] +% 'leftright' - 1 means layout left-to-right, 0 means top-to-bottom [0] +% 'directed' - 1 means use directed arcs, 0 means undirected [1] +% +% For details on graphviz, See http://www.research.att.com/sw/tools/graphviz +% +% See also dot_to_graph and draw_dot +% +% First version written by Kevin Murphy 2002. +% Modified by Leon Peshkin, Jan 2004. + +node_label = []; arc_label = []; % set default args +width = 10; height = 10; +leftright = 0; directed = 1; filename = 'tmp.dot'; + +for i = 1:2:nargin-1 % get optional args + switch varargin{i} + case 'filename', filename = varargin{i+1}; + case 'node_label', node_label = varargin{i+1}; + case 'arc_label', arc_label = varargin{i+1}; + case 'width', width = varargin{i+1}; + case 'height', height = varargin{i+1}; + case 'leftright', leftright = varargin{i+1}; + case 'directed', directed = varargin{i+1}; + end +end + +fid = fopen(filename, 'w'); +if directed + fprintf(fid, 'digraph G {\n'); + arctxt = '->'; + if isempty(arc_label) + labeltxt = ''; + else + labeltxt = '[label="%s"]'; + end +else + fprintf(fid, 'graph G {\n'); + arctxt = '--'; + if isempty(arc_label) + labeltxt = '[dir=none]'; + else + labeltext = '[label="%s",dir=none]'; + end +end +edgeformat = strcat(['%d ',arctxt,' %d ',labeltxt,';\n']); +fprintf(fid, 'center = 1;\n'); +fprintf(fid, 'size=\"%d,%d\";\n', width, height); +if leftright + fprintf(fid, 'rankdir=LR;\n'); +end +Nnds = length(adj); +for node = 1:Nnds % process nodes + if isempty(node_label) + fprintf(fid, '%d;\n', node); + else + fprintf(fid, '%d [ label = "%s" ];\n', node, +node_label{node}); + end +end +for node1 = 1:Nnds % process edges + if directed + arcs = find(adj(node1,:)); % children(adj, node); + else + arcs = find(adj(node1,node1+1:Nnds)); % remove duplicate arcs + end + for node2 = arcs + fprintf(fid, edgeformat, node1, node2); + end +end +fprintf(fid, '}'); +fclose(fid); + + + diff --git a/sourcecodes/bnt-master/GraphViz/Old/pre_pesha_graph_to_dot.m b/sourcecodes/bnt-master/GraphViz/Old/pre_pesha_graph_to_dot.m new file mode 100644 index 00000000..49f226f6 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/Old/pre_pesha_graph_to_dot.m @@ -0,0 +1,166 @@ +function graph_to_dot(G, varargin) +% DAG_TO_DOT Make a file representing the directed graph in dotty format. +% dag_to_dot(G, ...) +% +% Optional arguments should be passed as name/value pairs [default] +% +% 'filename' - if omitted, we write to 'tmp.dot', convert this to 'tmp.ps', +% and then call ghostview automatically +% 'arc_label' - arc_label{i,j} is a string attached to the i->j arc. [""] +% 'node_label' - node_label{i} is a string attached to node i. ["i"] +% 'width' - width in inches [10] +% 'height' - height in inches [10] +% 'leftright' - 1 means layout left-to-right, 0 means top-to-bottom [0] +% 'directed' - 1 means use directed arcs, 0 means undirected [1] +% +% For details on dotty, See http://www.research.att.com/sw/tools/graphviz +% +% Example: +% G = rand(5,5); +% names = cell(5,5); +% names{1,2} = 'arc 1-2'; +% graph_to_dot(G, 'arc_label', names) +% or graph_to_dot(G, 'arc_label', 'numbers') % prints value of G(i,j) on i->j arc + +% Kevin Murphy, 1998 + +% set default args +filename = []; +node_label = []; +arc_label = []; +width = 10; +height = 10; +leftright = 0; +directed = 1; +% get optional args +args = varargin; +for i=1:2:length(args) + switch args{i} + case 'filename', filename = args{i+1}; + case 'node_label', node_label = args{i+1}; + case 'arc_label', arc_label = args{i+1}; + case 'width', width = args{i+1}; + case 'height', height = args{i+1}; + case 'leftright', leftright = args{i+1}; + case 'directed', directed = args{i+1}; + end +end + +if isstr(arc_label) & strcmp(arc_label, 'numbers') + N = length(G); + arc_label = cell(N,N); + for i=1:N + for j=1:N + arc_label{i,j} = sprintf('%4.2f', G(i,j)); + end + end +end + +if isempty(filename) + make_file(G, 'tmp.dot', node_label, arc_label, width, height, leftright, directed); + if isunix + !dot -Tps tmp.dot -o tmp.ps + + !gs tmp.ps & + else + dos('dot -Tps tmp.dot -o tmp.ps'); + dos('gsview32 tmp.ps &'); + end +else + + + make_file(G, filename, node_label, arc_label, width, height, leftright, directed); +end + + +%%%%%% + +function make_file(G, filename, node_label, arc_label, width, height, leftright, directed) + +n = length(G); +fid = fopen(filename, 'w'); +if directed + fprintf(fid, 'digraph G {\n'); +else + fprintf(fid, 'graph G {\n'); +end +fprintf(fid, 'center = 1;\n'); +fprintf(fid, 'size=\"%d,%d\";\n', width, height); +if leftright + fprintf(fid, 'rankdir=LR;\n'); +end +for i=1:n + if isempty(node_label) + fprintf(fid, '%d;\n', i); + else + fprintf(fid, '%d [ label = "%s" ];\n', i, node_label{i}); + end +end +if directed + for i=1:n + cs = children(G,i); + for j=1:length(cs) + c = cs(j); + if isempty(arc_label) + fprintf(fid, '%d -> %d;\n', i, c); + else + fprintf(fid, '%d -> %d [label="%s"];\n', i, c, arc_label{i,c}); + end + end + end +else + for i=1:n + ns = intersect(neighbors(G,i), i+1:n); % remove duplicate arcs + for j=1:length(ns) + c = ns(j); + if isempty(arc_label) + fprintf(fid, '%d -- %d [dir=none];\n', i, c); + else + fprintf(fid, '%d -- %d [label="%s",dir=none];\n', i, c, arc_label{i,c}); + end + end + end +end +fprintf(fid, '\n}'); +fclose(fid); + + + +%%%%%%%%%%%%%%% + +function cs = children(adj_mat, i, t) +% CHILDREN Return the indices of a node's children in sorted order +% c = children(adj_mat, i, t) +% +% t is an optional argument: if present, dag is assumed to be a 2-slice DBN + +if nargin < 3 + cs = find(adj_mat(i,:)); +else + if t==1 + cs = find(adj_mat(i,:)); + else + ss = length(adj_mat)/2; + j = i+ss; + cs = find(adj_mat(j,:)) + (t-2)*ss; + end +end + +%%%%%%%%%%%% + +function ps = parents(adj_mat, i) +% PARENTS Return the list of parents of node i +% ps = parents(adj_mat, i) + +ps = find(adj_mat(:,i))'; + +%%%%%%%%%%%%% + +function ns = neighbors(adj_mat, i) +% NEIGHBORS Find the parents and children of a node in a graph. +% ns = neighbors(adj_mat, i) + +ns = union(children(adj_mat, i), parents(adj_mat, i)); + + + diff --git a/sourcecodes/bnt-master/GraphViz/README.txt b/sourcecodes/bnt-master/GraphViz/README.txt new file mode 100644 index 00000000..4ae15fac --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/README.txt @@ -0,0 +1,16 @@ +Graph visualization (automatic layout) functions +------------------------------------------------ + +This directory contains code to automatically layout and visualize +graphs. It provides a matlab interface to the graphviz program: + http://www.research.att.com/sw/tools/graphviz +Written by Kevin Murphy, Leon Peshkin, Tom Minka. + +draw_graph was written by Ali Taylan Cemgil, and is entirely +self-contained matlab: it does not need graphviz, but produces lower +quality results. +http://www.mbfys.kun.nl/~cemgil/matlab/layout.html + +See also the following URLs for other graph layout programs: + http://www.ics.uci.edu/~eppstein/gina/gdraw.html + http://www.cwi.nl/InfoVisu/ diff --git a/sourcecodes/bnt-master/GraphViz/approxeq.m b/sourcecodes/bnt-master/GraphViz/approxeq.m new file mode 100644 index 00000000..559efc5e --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/approxeq.m @@ -0,0 +1,21 @@ +function p = approxeq(a, b, tol, rel) +% APPROXEQ Are a and b approximately equal (to within a specified tolerance)? +% p = approxeq(a, b, thresh) +% 'tol' defaults to 1e-3. +% p(i) = 1 iff abs(a(i) - b(i)) < thresh +% +% p = approxeq(a, b, thresh, 1) +% p(i) = 1 iff abs(a(i)-b(i))/abs(a(i)) < thresh + +if nargin < 3, tol = 1e-2; end +if nargin < 4, rel = 0; end + +a = a(:); +b = b(:); +d = abs(a-b); +if rel + p = ~any( (d ./ (abs(a)+eps)) > tol); +else + p = ~any(d > tol); +end + diff --git a/sourcecodes/bnt-master/GraphViz/arrow.m b/sourcecodes/bnt-master/GraphViz/arrow.m new file mode 100644 index 00000000..4c5c1852 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/arrow.m @@ -0,0 +1,1460 @@ +function [h,yy,zz] = arrow(varargin) +% ARROW Draw a line with an arrowhead. +% +% ARROW(Start,Stop) draws a line with an arrow from Start to Stop (points +% should be vectors of length 2 or 3, or matrices with 2 or 3 +% columns), and returns the graphics handle of the arrow(s). +% +% ARROW uses the mouse (click-drag) to create an arrow. +% +% ARROW DEMO & ARROW DEMO2 show 3-D & 2-D demos of the capabilities of ARROW. +% +% ARROW may be called with a normal argument list or a property-based list. +% ARROW(Start,Stop,Length,BaseAngle,TipAngle,Width,Page,CrossDir) is +% the full normal argument list, where all but the Start and Stop +% points are optional. If you need to specify a later argument (e.g., +% Page) but want default values of earlier ones (e.g., TipAngle), +% pass an empty matrix for the earlier ones (e.g., TipAngle=[]). +% +% ARROW('Property1',PropVal1,'Property2',PropVal2,...) creates arrows with the +% given properties, using default values for any unspecified or given as +% 'default' or NaN. Some properties used for line and patch objects are +% used in a modified fashion, others are passed directly to LINE, PATCH, +% or SET. For a detailed properties explanation, call ARROW PROPERTIES. +% +% Start The starting points. B +% Stop The end points. /|\ ^ +% Length Length of the arrowhead in pixels. /|||\ | +% BaseAngle Base angle in degrees (ADE). //|||\\ L| +% TipAngle Tip angle in degrees (ABC). ///|||\\\ e| +% Width Width of the base in pixels. ////|||\\\\ n| +% Page Use hardcopy proportions. /////|D|\\\\\ g| +% CrossDir Vector || to arrowhead plane. //// ||| \\\\ t| +% NormalDir Vector out of arrowhead plane. /// ||| \\\ h| +% Ends Which end has an arrowhead. //<----->|| \\ | +% ObjectHandles Vector of handles to update. / base ||| \ V +% E angle||<-------->C +% ARROW(H,'Prop1',PropVal1,...), where H is a |||tipangle +% vector of handles to previously-created arrows ||| +% and/or line objects, will update the previously- ||| +% created arrows according to the current view -->|A|<-- width +% and any specified properties, and will convert +% two-point line objects to corresponding arrows. ARROW(H) will update +% the arrows if the current view has changed. Root, figure, or axes +% handles included in H are replaced by all descendant Arrow objects. +% +% A property list can follow any specified normal argument list, e.g., +% ARROW([1 2 3],[0 0 0],36,'BaseAngle',60) creates an arrow from (1,2,3) to +% the origin, with an arrowhead of length 36 pixels and 60-degree base angle. +% +% Normally, an ARROW is a PATCH object, so any valid PATCH property/value pairs +% can be passed, e.g., ARROW(Start,Stop,'EdgeColor','r','FaceColor','g'). +% ARROW will use LINE objects when requested by ARROW(...,'Type','line') or, +% using LINE property/value pairs, ARROW(Start,Stop,'Type','line','Color','b'). +% +% The basic arguments or properties can generally be vectorized to create +% multiple arrows with the same call. This is done by passing a property +% with one row per arrow, or, if all arrows are to have the same property +% value, just one row may be specified. +% +% You may want to execute AXIS(AXIS) before calling ARROW so it doesn't change +% the axes on you; ARROW determines the sizes of arrow components BEFORE the +% arrow is plotted, so if ARROW changes axis limits, arrows may be malformed. +% +% This version of ARROW uses features of MATLAB 6.x and is incompatible with +% earlier MATLAB versions (ARROW for MATLAB 4.2c is available separately); +% some problems with perspective plots still exist. + +% Copyright (c)1995-2016, Dr. Erik A. Johnson , 5/25/2016 +% http://www.usc.edu/civil_eng/johnsone/ + +% Revision history: +% 5/25/16 EAJ Add documentation of 'Type','line' +% Add documentation of how to set color +% Add 'Color' property (which sets both 'EdgeColor' and 'FaceColor' for patch objects) +% 5/24/16 EAJ Remove 'EraseMode' in HG2 +% 7/16/14 EAJ R2014b HandleGraphics2 compatibility +% 7/14/14 EAJ 5/20/13 patch extension didn't work right in HG2 +% so break the arrow along its length instead +% 5/20/13 EAJ Extend patch line one more segment so EPS/PDF printed versions +% have nice rounded tips when the LineWidth is wider +% 2/06/13 EAJ Add ShortenLength property to shorten length if arrow is short +% 1/24/13 EAJ Remove some old comments. +% 5/20/09 EAJ Fix view direction in (3D) demo. +% 6/26/08 EAJ Replace eval('trycmd','catchcmd') with try, trycmd; catch, +% catchcmd; end; -- break's MATLAB 5 compatibility. +% 8/26/03 EAJ Eliminate OpenGL attempted fix since it didn't fix anyway. +% 11/15/02 EAJ Accomodate how MATLAB 6.5 handles NaN and logicals +% 7/28/02 EAJ Tried (but failed) work-around for MATLAB 6.x / OpenGL bug +% if zero 'Width' or not double-ended +% 11/10/99 EAJ Add logical() to eliminate zero index problem in MATLAB 5.3. +% 11/10/99 EAJ Corrected warning if axis limits changed on multiple axes. +% 11/10/99 EAJ Update e-mail address. +% 2/10/99 EAJ Some documentation updating. +% 2/24/98 EAJ Fixed bug if Start~=Stop but both colinear with viewpoint. +% 8/14/97 EAJ Added workaround for MATLAB 5.1 scalar logical transpose bug. +% 7/21/97 EAJ Fixed a few misc bugs. +% 7/14/97 EAJ Make arrow([],'Prop',...) do nothing (no old handles) +% 6/23/97 EAJ MATLAB 5 compatible version, release. +% 5/27/97 EAJ Added Line Arrows back in. Corrected a few bugs. +% 5/26/97 EAJ Changed missing Start/Stop to mouse-selected arrows. +% 5/19/97 EAJ MATLAB 5 compatible version, beta. +% 4/13/97 EAJ MATLAB 5 compatible version, alpha. +% 1/31/97 EAJ Fixed bug with multiple arrows and unspecified Z coords. +% 12/05/96 EAJ Fixed one more bug with log plots and NormalDir specified +% 10/24/96 EAJ Fixed bug with log plots and NormalDir specified +% 11/13/95 EAJ Corrected handling for 'reverse' axis directions +% 10/06/95 EAJ Corrected occasional conflict with SUBPLOT +% 4/24/95 EAJ A major rewrite. +% Fall 94 EAJ Original code. + +% Things to be done: +% - in the arrow_clicks section, prompt by printing to the screen so that +% the user knows what's going on; also make sure the figure is brought +% to the front. +% - segment parsing, computing, and plotting into separate subfunctions +% - change computing from Xform to Camera paradigms +% + this will help especially with 3-D perspective plots +% + if the WarpToFill section works right, remove warning code +% + when perpsective works properly, remove perspective warning code +% - add cell property values and struct property name/values (like get/set) +% - get rid of NaN as the "default" data label +% + perhaps change userdata to a struct and don't include (or leave +% empty) the values specified as default; or use a cell containing +% an empty matrix for a default value +% - add functionality of GET to retrieve current values of ARROW properties +% +% New list of things to be done: +% - rewrite as a graphics or class object that updates itself in real time +% (but have a 'Static' or 'DoNotUpdate' property to avoid updating) + +% Permission is granted to distribute ARROW with the toolboxes for the book +% "Solving Solid Mechanics Problems with MATLAB 5", by F. Golnaraghi et al. +% (Prentice Hall, 1999). + +% Permission is granted to Dr. Josef Bigun to distribute ARROW with his +% software to reproduce the figures in his image analysis text. + +% global variable initialization +persistent ARROW_PERSP_WARN ARROW_STRETCH_WARN ARROW_AXLIMITS ARROW_AX +if isempty(ARROW_PERSP_WARN ), ARROW_PERSP_WARN =1; end; +if isempty(ARROW_STRETCH_WARN), ARROW_STRETCH_WARN=1; end; + +% Handle callbacks +if (nargin>0 & isstr(varargin{1}) & strcmp(lower(varargin{1}),'callback')), + arrow_callback(varargin{2:end}); return; +end; + +% Are we doing the demo? +c = sprintf('\n'); +if (nargin==1 & isstr(varargin{1})), + arg1 = lower(varargin{1}); + if strncmp(arg1,'prop',4), arrow_props; + elseif strncmp(arg1,'demo',4) + clf reset + demo_info = arrow_demo; + if ~strncmp(arg1,'demo2',5), + hh=arrow_demo3(demo_info); + else, + hh=arrow_demo2(demo_info); + end; + if (nargout>=1), h=hh; end; + elseif strncmp(arg1,'fixlimits',3), + arrow_fixlimits(ARROW_AX,ARROW_AXLIMITS); + ARROW_AXLIMITS=[]; ARROW_AX=[]; + elseif strncmp(arg1,'help',4), + disp(help(mfilename)); + else, + error([upper(mfilename) ' got an unknown single-argument string ''' deblank(arg1) '''.']); + end; + return; +end; + +% Check # of arguments +if (nargout>3), error([upper(mfilename) ' produces at most 3 output arguments.']); end; + +% find first property number +firstprop = nargin+1; +for k=1:length(varargin), if ~isnumeric(varargin{k}) && ~all(ishandle(varargin{k})), firstprop=k; break; end; end; %eaj 5/24/16 for k=1:length(varargin), if ~isnumeric(varargin{k}), firstprop=k; break; end; end; +lastnumeric = firstprop-1; + +% check property list +if (firstprop<=nargin), + for k=firstprop:2:nargin, + curarg = varargin{k}; + if ~isstr(curarg) | sum(size(curarg)>1)>1, + error([upper(mfilename) ' requires that a property name be a single string.']); + end; + end; + if (rem(nargin-firstprop,2)~=1), + error([upper(mfilename) ' requires that the property ''' ... + varargin{nargin} ''' be paired with a property value.']); + end; +end; + +% default output +if (nargout>0), h=[]; end; +if (nargout>1), yy=[]; end; +if (nargout>2), zz=[]; end; + +% set values to empty matrices +start = []; +stop = []; +len = []; +baseangle = []; +tipangle = []; +wid = []; +page = []; +crossdir = []; +ends = []; +shorten = []; +ax = []; +oldh = []; +ispatch = []; +defstart = [NaN NaN NaN]; +defstop = [NaN NaN NaN]; +deflen = 16; +defbaseangle = 90; +deftipangle = 16; +defwid = 0; +defpage = 0; +defcrossdir = [NaN NaN NaN]; +defends = 1; +defshorten = 0; +defoldh = []; +defispatch = 1; + +% The 'Tag' we'll put on our arrows +ArrowTag = 'Arrow'; + +% check for oldstyle arguments +if (firstprop==2), + % assume arg1 is a set of handles + oldh = varargin{1}(:); + if isempty(oldh), return; end; +elseif (firstprop>9), + error([upper(mfilename) ' takes at most 8 non-property arguments.']); +elseif (firstprop>2), + {start,stop,len,baseangle,tipangle,wid,page,crossdir}; + args = [varargin(1:firstprop-1) cell(1,length(ans)-(firstprop-1))]; + [start,stop,len,baseangle,tipangle,wid,page,crossdir] = deal(args{:}); +end; + +% parse property pairs +extraprops={}; +for k=firstprop:2:nargin, + prop = varargin{k}; + val = varargin{k+1}; + prop = [lower(prop(:)') ' ']; + if strncmp(prop,'start' ,5), start = val; + elseif strncmp(prop,'stop' ,4), stop = val; + elseif strncmp(prop,'len' ,3), len = val(:); + elseif strncmp(prop,'base' ,4), baseangle = val(:); + elseif strncmp(prop,'tip' ,3), tipangle = val(:); + elseif strncmp(prop,'wid' ,3), wid = val(:); + elseif strncmp(prop,'page' ,4), page = val; + elseif strncmp(prop,'cross' ,5), crossdir = val; + elseif strncmp(prop,'norm' ,4), if (isstr(val)), crossdir=val; else, crossdir=val*sqrt(-1); end; + elseif strncmp(prop,'end' ,3), ends = val; + elseif strncmp(prop,'shorten',5), shorten = val; + elseif strncmp(prop,'object' ,6), oldh = val(:); + elseif strncmp(prop,'handle' ,6), oldh = val(:); + elseif strncmp(prop,'type' ,4), ispatch = val; + elseif strncmp(prop,'userd' ,5), %ignore it + else, + % make sure it is a valid patch or line property + try + get(0,['DefaultPatch' varargin{k}]); + catch + errstr = lasterr; + try + get(0,['DefaultLine' varargin{k}]); + catch + errstr(1:max(find(errstr==char(13)|errstr==char(10)))) = ''; + error([upper(mfilename) ' got ' errstr]); + end + end; + extraprops={extraprops{:},varargin{k},val}; + end; +end; + +% Check if we got 'default' values +start = arrow_defcheck(start ,defstart ,'Start' ); +stop = arrow_defcheck(stop ,defstop ,'Stop' ); +len = arrow_defcheck(len ,deflen ,'Length' ); +baseangle = arrow_defcheck(baseangle,defbaseangle,'BaseAngle' ); +tipangle = arrow_defcheck(tipangle ,deftipangle ,'TipAngle' ); +wid = arrow_defcheck(wid ,defwid ,'Width' ); +crossdir = arrow_defcheck(crossdir ,defcrossdir ,'CrossDir' ); +page = arrow_defcheck(page ,defpage ,'Page' ); +ends = arrow_defcheck(ends ,defends ,'' ); +shorten = arrow_defcheck(shorten ,defshorten ,'' ); +oldh = arrow_defcheck(oldh ,[] ,'ObjectHandles'); +ispatch = arrow_defcheck(ispatch ,defispatch ,'' ); + +% check transpose on arguments +[m,n]=size(start ); if any(m==[2 3])&(n==1|n>3), start = start'; end; +[m,n]=size(stop ); if any(m==[2 3])&(n==1|n>3), stop = stop'; end; +[m,n]=size(crossdir); if any(m==[2 3])&(n==1|n>3), crossdir = crossdir'; end; + +% convert strings to numbers +if ~isempty(ends) & isstr(ends), + endsorig = ends; + [m,n] = size(ends); + col = lower([ends(:,1:min(3,n)) ones(m,max(0,3-n))*' ']); + ends = NaN*ones(m,1); + oo = ones(1,m); + ii=find(all(col'==['non']'*oo)'); if ~isempty(ii), ends(ii)=ones(length(ii),1)*0; end; + ii=find(all(col'==['sto']'*oo)'); if ~isempty(ii), ends(ii)=ones(length(ii),1)*1; end; + ii=find(all(col'==['sta']'*oo)'); if ~isempty(ii), ends(ii)=ones(length(ii),1)*2; end; + ii=find(all(col'==['bot']'*oo)'); if ~isempty(ii), ends(ii)=ones(length(ii),1)*3; end; + if any(isnan(ends)), + ii = min(find(isnan(ends))); + error([upper(mfilename) ' does not recognize ''' deblank(endsorig(ii,:)) ''' as a valid ''Ends'' value.']); + end; +else, + ends = ends(:); +end; +if ~isempty(ispatch) & isstr(ispatch), + col = lower(ispatch(:,1)); + patchchar='p'; linechar='l'; defchar=' '; + mask = col~=patchchar & col~=linechar & col~=defchar; + if any(mask), + error([upper(mfilename) ' does not recognize ''' deblank(ispatch(min(find(mask)),:)) ''' as a valid ''Type'' value.']); + end; + ispatch = (col==patchchar)*1 + (col==linechar)*0 + (col==defchar)*defispatch; +else, + ispatch = ispatch(:); +end; +oldh = oldh(:); + +% check object handles +if ~all(ishandle(oldh)), error([upper(mfilename) ' got invalid object handles.']); end; + +% expand root, figure, and axes handles +if ~isempty(oldh), + ohtype = get(oldh,'Type'); + mask = strcmp(ohtype,'root') | strcmp(ohtype,'figure') | strcmp(ohtype,'axes'); + if any(mask), + oldh = num2cell(oldh); + for ii=find(mask)', + oldh(ii) = {findobj(oldh{ii},'Tag',ArrowTag)}; + end; + oldh = cat(1,oldh{:}); + if isempty(oldh), return; end; % no arrows to modify, so just leave + end; +end; + +% largest argument length +[mstart,junk]=size(start); [mstop,junk]=size(stop); [mcrossdir,junk]=size(crossdir); +argsizes = [length(oldh) mstart mstop ... + length(len) length(baseangle) length(tipangle) ... + length(wid) length(page) mcrossdir length(ends) length(shorten)]; +args=['length(ObjectHandle) '; ... + '#rows(Start) '; ... + '#rows(Stop) '; ... + 'length(Length) '; ... + 'length(BaseAngle) '; ... + 'length(TipAngle) '; ... + 'length(Width) '; ... + 'length(Page) '; ... + '#rows(CrossDir) '; ... + '#rows(Ends) '; ... + 'length(ShortenLength) ']; +if (any(imag(crossdir(:))~=0)), + args(9,:) = '#rows(NormalDir) '; +end; +if isempty(oldh), + narrows = max(argsizes); +else, + narrows = length(oldh); +end; +if (narrows<=0), narrows=1; end; + +% Check size of arguments +ii = find((argsizes~=0)&(argsizes~=1)&(argsizes~=narrows)); +if ~isempty(ii), + s = args(ii',:); + while ((size(s,2)>1)&((abs(s(:,size(s,2)))==0)|(abs(s(:,size(s,2)))==abs(' ')))), + s = s(:,1:size(s,2)-1); + end; + s = [ones(length(ii),1)*[upper(mfilename) ' requires that '] s ... + ones(length(ii),1)*[' equal the # of arrows (' num2str(narrows) ').' c]]; + s = s'; + s = s(:)'; + s = s(1:length(s)-1); + error(setstr(s)); +end; + +% check element length in Start, Stop, and CrossDir +if ~isempty(start), + [m,n] = size(start); + if (n==2), + start = [start NaN*ones(m,1)]; + elseif (n~=3), + error([upper(mfilename) ' requires 2- or 3-element Start points.']); + end; +end; +if ~isempty(stop), + [m,n] = size(stop); + if (n==2), + stop = [stop NaN*ones(m,1)]; + elseif (n~=3), + error([upper(mfilename) ' requires 2- or 3-element Stop points.']); + end; +end; +if ~isempty(crossdir), + [m,n] = size(crossdir); + if (n<3), + crossdir = [crossdir NaN*ones(m,3-n)]; + elseif (n~=3), + if (all(imag(crossdir(:))==0)), + error([upper(mfilename) ' requires 2- or 3-element CrossDir vectors.']); + else, + error([upper(mfilename) ' requires 2- or 3-element NormalDir vectors.']); + end; + end; +end; + +% fill empty arguments +if isempty(start ), start = [Inf Inf Inf]; end; +if isempty(stop ), stop = [Inf Inf Inf]; end; +if isempty(len ), len = Inf; end; +if isempty(baseangle ), baseangle = Inf; end; +if isempty(tipangle ), tipangle = Inf; end; +if isempty(wid ), wid = Inf; end; +if isempty(page ), page = Inf; end; +if isempty(crossdir ), crossdir = [Inf Inf Inf]; end; +if isempty(ends ), ends = Inf; end; +if isempty(shorten ), shorten = Inf; end; +if isempty(ispatch ), ispatch = Inf; end; + +% expand single-column arguments +o = ones(narrows,1); +if (size(start ,1)==1), start = o * start ; end; +if (size(stop ,1)==1), stop = o * stop ; end; +if (length(len )==1), len = o * len ; end; +if (length(baseangle )==1), baseangle = o * baseangle ; end; +if (length(tipangle )==1), tipangle = o * tipangle ; end; +if (length(wid )==1), wid = o * wid ; end; +if (length(page )==1), page = o * page ; end; +if (size(crossdir ,1)==1), crossdir = o * crossdir ; end; +if (length(ends )==1), ends = o * ends ; end; +if (length(shorten )==1), shorten = o * shorten ; end; +if (length(ispatch )==1), ispatch = o * ispatch ; end; +ax = repmat(gca,narrows,1); %eaj 7/16/14 ax=gca; if ~isnumeric(ax), ax=double(ax); end; ax=o*ax; + +% if we've got handles, get the defaults from the handles +if ~isempty(oldh), + for k=1:narrows, + oh = oldh(k); + ud = get(oh,'UserData'); + ax(k) = get(oh,'Parent'); %eaj 7/16/14 get(oh,'Parent'); if ~isnumeric(ans), double(ans); end; ax(k)=ans; + ohtype = get(oh,'Type'); + if strcmp(get(oh,'Tag'),ArrowTag), % if it's an arrow already + if isinf(ispatch(k)), ispatch(k)=strcmp(ohtype,'patch'); end; + % arrow UserData format: [start' stop' len base tip wid page crossdir' ends shorten] + start0 = ud(1:3); + stop0 = ud(4:6); + if (isinf(len(k))), len(k) = ud( 7); end; + if (isinf(baseangle(k))), baseangle(k) = ud( 8); end; + if (isinf(tipangle(k))), tipangle(k) = ud( 9); end; + if (isinf(wid(k))), wid(k) = ud(10); end; + if (isinf(page(k))), page(k) = ud(11); end; + if (isinf(crossdir(k,1))), crossdir(k,1) = ud(12); end; + if (isinf(crossdir(k,2))), crossdir(k,2) = ud(13); end; + if (isinf(crossdir(k,3))), crossdir(k,3) = ud(14); end; + if (isinf(ends(k))), ends(k) = ud(15); end; + if (isinf(shorten(k))), shorten(k) = ud(16); end; + elseif strcmp(ohtype,'line')|strcmp(ohtype,'patch'), % it's a non-arrow line or patch + convLineToPatch = 1; %set to make arrow patches when converting from lines. + if isinf(ispatch(k)), ispatch(k)=convLineToPatch|strcmp(ohtype,'patch'); end; + x=get(oh,'XData'); x=x(~isnan(x(:))); if isempty(x), x=NaN; end; + y=get(oh,'YData'); y=y(~isnan(y(:))); if isempty(y), y=NaN; end; + z=get(oh,'ZData'); z=z(~isnan(z(:))); if isempty(z), z=NaN; end; + start0 = [x(1) y(1) z(1) ]; + stop0 = [x(end) y(end) z(end)]; + else, + error([upper(mfilename) ' cannot convert ' ohtype ' objects.']); + end; + ii=find(isinf(start(k,:))); if ~isempty(ii), start(k,ii)=start0(ii); end; + ii=find(isinf(stop( k,:))); if ~isempty(ii), stop( k,ii)=stop0( ii); end; + end; +end; + +% convert Inf's to NaN's +start( isinf(start )) = NaN; +stop( isinf(stop )) = NaN; +len( isinf(len )) = NaN; +baseangle( isinf(baseangle)) = NaN; +tipangle( isinf(tipangle )) = NaN; +wid( isinf(wid )) = NaN; +page( isinf(page )) = NaN; +crossdir( isinf(crossdir )) = NaN; +ends( isinf(ends )) = NaN; +shorten( isinf(shorten )) = NaN; +ispatch( isinf(ispatch )) = NaN; + +% set up the UserData data (here so not corrupted by log10's and such) +ud = [start stop len baseangle tipangle wid page crossdir ends shorten]; + +% Set Page defaults +page = ~isnan(page) & trueornan(page); + +% Get axes limits, range, min; correct for aspect ratio and log scale +axm = zeros(3,narrows); +axr = zeros(3,narrows); +axrev = zeros(3,narrows); +ap = zeros(2,narrows); +xyzlog = zeros(3,narrows); +limmin = zeros(2,narrows); +limrange = zeros(2,narrows); +oldaxlims = zeros(6,narrows); +oneax = all(ax==ax(1)); +if (oneax), + T = zeros(4,4); + invT = zeros(4,4); +else, + T = zeros(16,narrows); + invT = zeros(16,narrows); +end; +axnotdone = true(size(ax)); +while (any(axnotdone)), + ii = find(axnotdone,1); + curax = ax(ii); + curpage = page(ii); + % get axes limits and aspect ratio + axl = [get(curax,'XLim'); get(curax,'YLim'); get(curax,'ZLim')]; + ax==curax; oldaxlims(:,ans)=repmat(reshape(axl',[],1),1,sum(ans)); + % get axes size in pixels (points) + u = get(curax,'Units'); + axposoldunits = get(curax,'Position'); + really_curpage = curpage & strcmp(u,'normalized'); + if (really_curpage), + curfig = get(curax,'Parent'); + pu = get(curfig,'PaperUnits'); + set(curfig,'PaperUnits','points'); + pp = get(curfig,'PaperPosition'); + set(curfig,'PaperUnits',pu); + set(curax,'Units','pixels'); + curapscreen = get(curax,'Position'); + set(curax,'Units','normalized'); + curap = pp.*get(curax,'Position'); + else, + set(curax,'Units','pixels'); + curapscreen = get(curax,'Position'); + curap = curapscreen; + end; + set(curax,'Units',u); + set(curax,'Position',axposoldunits); + % handle non-stretched axes position + str_stretch = { 'DataAspectRatioMode' ; ... + 'PlotBoxAspectRatioMode' ; ... + 'CameraViewAngleMode' }; + str_camera = { 'CameraPositionMode' ; ... + 'CameraTargetMode' ; ... + 'CameraViewAngleMode' ; ... + 'CameraUpVectorMode' }; + notstretched = strcmp(get(curax,str_stretch),'manual'); + manualcamera = strcmp(get(curax,str_camera),'manual'); + if ~arrow_WarpToFill(notstretched,manualcamera,curax), + % give a warning that this has not been thoroughly tested + if 0 & ARROW_STRETCH_WARN, + ARROW_STRETCH_WARN = 0; + strs = {str_stretch{1:2},str_camera{:}}; + strs = [char(ones(length(strs),1)*sprintf('\n ')) char(strs)]'; + warning([upper(mfilename) ' may not yet work quite right ' ... + 'if any of the following are ''manual'':' strs(:).']); + end; + % find the true pixel size of the actual axes + texttmp = text(axl(1,[1 2 2 1 1 2 2 1]), ... + axl(2,[1 1 2 2 1 1 2 2]), ... + axl(3,[1 1 1 1 2 2 2 2]),''); + set(texttmp,'Units','points'); + textpos = get(texttmp,'Position'); + delete(texttmp); + textpos = cat(1,textpos{:}); + textpos = max(textpos(:,1:2)) - min(textpos(:,1:2)); + % adjust the axes position + if (really_curpage), + % adjust to printed size + textpos = textpos * min(curap(3:4)./textpos); + curap = [curap(1:2)+(curap(3:4)-textpos)/2 textpos]; + else, + % adjust for pixel roundoff + textpos = textpos * min(curapscreen(3:4)./textpos); + curap = [curap(1:2)+(curap(3:4)-textpos)/2 textpos]; + end; + end; + if ARROW_PERSP_WARN & ~strcmp(get(curax,'Projection'),'orthographic'), + ARROW_PERSP_WARN = 0; + warning([upper(mfilename) ' does not yet work right for 3-D perspective projection.']); + end; + % adjust limits for log scale on axes + curxyzlog = strcmp(get(curax,{'XScale' 'YScale' 'ZScale'})','log'); + if (any(curxyzlog)), + ii = find([curxyzlog;curxyzlog]); + if (any(axl(ii)<=0)), + error([upper(mfilename) ' does not support non-positive limits on log-scaled axes.']); + else, + axl(ii) = log10(axl(ii)); + end; + end; + % correct for 'reverse' direction on axes; + curreverse = strcmp(get(curax,{'XDir' 'YDir' 'ZDir'})','reverse'); + ii = find(curreverse); + if ~isempty(ii), + axl(ii,[1 2])=-axl(ii,[2 1]); + end; + % compute the range of 2-D values + try, curT=get(curax,'Xform'); catch, num2cell(get(curax,'View')); curT=viewmtx(ans{:}); end; + lim = curT*[0 1 0 1 0 1 0 1;0 0 1 1 0 0 1 1;0 0 0 0 1 1 1 1;1 1 1 1 1 1 1 1]; + lim = lim(1:2,:)./([1;1]*lim(4,:)); + curlimmin = min(lim')'; + curlimrange = max(lim')' - curlimmin; + curinvT = inv(curT); + if (~oneax), + curT = curT.'; + curinvT = curinvT.'; + curT = curT(:); + curinvT = curinvT(:); + end; + % check which arrows to which cur corresponds + ii = find((ax==curax)&(page==curpage)); + oo = ones(1,length(ii)); + axr(:,ii) = diff(axl')' * oo; + axm(:,ii) = axl(:,1) * oo; + axrev(:,ii) = curreverse * oo; + ap(:,ii) = curap(3:4)' * oo; + xyzlog(:,ii) = curxyzlog * oo; + limmin(:,ii) = curlimmin * oo; + limrange(:,ii) = curlimrange * oo; + if (oneax), + T = curT; + invT = curinvT; + else, + T(:,ii) = curT * oo; + invT(:,ii) = curinvT * oo; + end; + axnotdone(ii) = zeros(1,length(ii)); +end; + +% correct for log scales +curxyzlog = xyzlog.'; +ii = find(curxyzlog(:)); +if ~isempty(ii), + start( ii) = real(log10(start( ii))); + stop( ii) = real(log10(stop( ii))); + if (all(imag(crossdir)==0)), % pulled (ii) subscript on crossdir, 12/5/96 eaj + crossdir(ii) = real(log10(crossdir(ii))); + end; +end; + +% correct for reverse directions +ii = find(axrev.'); +if ~isempty(ii), + start( ii) = -start( ii); + stop( ii) = -stop( ii); + crossdir(ii) = -crossdir(ii); +end; + +% transpose start/stop values +start = start.'; +stop = stop.'; + +% take care of defaults, page was done above +ii=find(isnan(start(:) )); if ~isempty(ii), start(ii) = axm(ii)+axr(ii)/2; end; +ii=find(isnan(stop(:) )); if ~isempty(ii), stop(ii) = axm(ii)+axr(ii)/2; end; +ii=find(isnan(crossdir(:) )); if ~isempty(ii), crossdir(ii) = zeros(length(ii),1); end; +ii=find(isnan(len )); if ~isempty(ii), len(ii) = ones(length(ii),1)*deflen; end; +ii=find(isnan(baseangle )); if ~isempty(ii), baseangle(ii) = ones(length(ii),1)*defbaseangle; end; +ii=find(isnan(tipangle )); if ~isempty(ii), tipangle(ii) = ones(length(ii),1)*deftipangle; end; +ii=find(isnan(wid )); if ~isempty(ii), wid(ii) = ones(length(ii),1)*defwid; end; +ii=find(isnan(ends )); if ~isempty(ii), ends(ii) = ones(length(ii),1)*defends; end; +ii=find(isnan(shorten )); if ~isempty(ii), shorten(ii) = ones(length(ii),1)*defshorten; end; + +% transpose rest of values +len = len.'; +baseangle = baseangle.'; +tipangle = tipangle.'; +wid = wid.'; +page = page.'; +crossdir = crossdir.'; +ends = ends.'; +shorten = shorten.'; +ax = ax.'; + +% given x, a 3xN matrix of points in 3-space; +% want to convert to X, the corresponding 4xN 2-space matrix +% +% tmp1=[(x-axm)./axr; ones(1,size(x,1))]; +% if (oneax), X=T*tmp1; +% else, tmp1=[tmp1;tmp1;tmp1;tmp1]; tmp1=T.*tmp1; +% tmp2=zeros(4,4*N); tmp2(:)=tmp1(:); +% X=zeros(4,N); X(:)=sum(tmp2)'; end; +% X = X ./ (ones(4,1)*X(4,:)); + +% for all points with start==stop, start=stop-(verysmallvalue)*(up-direction); +ii = find(all(start==stop)); +if ~isempty(ii), + % find an arrowdir vertical on screen and perpendicular to viewer + % transform to 2-D + tmp1 = [(stop(:,ii)-axm(:,ii))./axr(:,ii);ones(1,length(ii))]; + if (oneax), twoD=T*tmp1; + else, tmp1=[tmp1;tmp1;tmp1;tmp1]; tmp1=T(:,ii).*tmp1; + tmp2=zeros(4,4*length(ii)); tmp2(:)=tmp1(:); + twoD=zeros(4,length(ii)); twoD(:)=sum(tmp2)'; end; + twoD=twoD./(ones(4,1)*twoD(4,:)); + % move the start point down just slightly + tmp1 = twoD + [0;-1/1000;0;0]*(limrange(2,ii)./ap(2,ii)); + % transform back to 3-D + if (oneax), threeD=invT*tmp1; + else, tmp1=[tmp1;tmp1;tmp1;tmp1]; tmp1=invT(:,ii).*tmp1; + tmp2=zeros(4,4*length(ii)); tmp2(:)=tmp1(:); + threeD=zeros(4,length(ii)); threeD(:)=sum(tmp2)'; end; + start(:,ii) = (threeD(1:3,:)./(ones(3,1)*threeD(4,:))).*axr(:,ii)+axm(:,ii); +end; + +% compute along-arrow points +% transform Start points + tmp1=[(start-axm)./axr;ones(1,narrows)]; + if (oneax), X0=T*tmp1; + else, tmp1=[tmp1;tmp1;tmp1;tmp1]; tmp1=T.*tmp1; + tmp2=zeros(4,4*narrows); tmp2(:)=tmp1(:); + X0=zeros(4,narrows); X0(:)=sum(tmp2)'; end; + X0=X0./(ones(4,1)*X0(4,:)); +% transform Stop points + tmp1=[(stop-axm)./axr;ones(1,narrows)]; + if (oneax), Xf=T*tmp1; + else, tmp1=[tmp1;tmp1;tmp1;tmp1]; tmp1=T.*tmp1; + tmp2=zeros(4,4*narrows); tmp2(:)=tmp1(:); + Xf=zeros(4,narrows); Xf(:)=sum(tmp2)'; end; + Xf=Xf./(ones(4,1)*Xf(4,:)); +% compute pixel distance between points + D = sqrt(sum(((Xf(1:2,:)-X0(1:2,:)).*(ap./limrange)).^2)); + D = D + (D==0); %eaj new 2/24/98 +% shorten the length if requested % added 2/6/2013 + numends = (ends==1) + (ends==2) + 2*(ends==3); + mask = shorten & D0 + ii = find(strcmpi(extraprops(1:2:end),'color')); %eaj 5/25/16 + ispatch = strcmp(get(H,'Type'),'patch'); + %eaj start 5/25/16 + while ~isempty(ii) && any(ispatch) + if ii>1, set(H,extraprops{1:2*ii-2}); end; + c = extraprops{2*ii}; + extraprops(1:2*ii) = []; + ii(1) = []; + if all(ispatch) || ischar(c)&&size(c,1)==1 || isnumeric(c)&&isequal(size(c),[1 3]) + set(H,'EdgeColor',c,'FaceColor',c) + elseif iscell(c) && numel(c)~=numel(H) + set(H(ispatch),'EdgeColor',c(ispatch),'FaceColor',c(ispatch)); + set(H(~ispatch),'Color',c(~ispatch)); + elseif isnumeric(c) && isequal(size(c),[numel(H) 3]) + set(H(ispatch),'EdgeColor',num2cell(c(ispatch,:),2),'FaceColor',num2cell(c(ispatch,:),2)); + set(H(~ispatch),'Color',num2cell(c(~ispatch,:),2)); + else + warning('ignoring unknown or invalid ''Color'' specification'); + end + end + if ~isempty(extraprops) + %eaj end 5/25/16 + set(H,extraprops{:}); + end %eaj 5/25/16 + end + % handle choosing arrow Start and/or Stop locations if unspecified + [H,oldaxlims,errstr] = arrow_clicks(H,ud,x,y,z,ax,oldaxlims); + if ~isempty(errstr), error([upper(mfilename) ' got ' errstr]); end; + % set the output + if (nargout>0), h=H; end; + % make sure the axis limits did not change + if isempty(oldaxlims), + ARROW_AXLIMITS = []; + ARROW_AX = []; + else, + lims = get(ax(:),{'XLim','YLim','ZLim'})'; + lims = reshape(cat(2,lims{:}),6,size(lims,2)); + mask = arrow_is2DXY(ax(:)); + oldaxlims(5:6,mask) = lims(5:6,mask); + % store them for possible restoring + mask = any(oldaxlims~=lims,1); ARROW_AX=ax(mask); ARROW_AXLIMITS=oldaxlims(:,mask); + if any(mask), + warning(arrow_warnlimits(ARROW_AX,narrows)); + end; + end; +else, + % don't create the patch, just return the data + h=x; + yy=y; + zz=z; +end; + + + +function out = arrow_defcheck(in,def,prop) +% check if we got 'default' values + out = in; + if ~isstr(in), return; end; + if size(in,1)==1 & strncmp(lower(in),'def',3), + out = def; + elseif ~isempty(prop), + error([upper(mfilename) ' does not recognize ''' in(:)' ''' as a valid ''' prop ''' string.']); + end; + + + +function [H,oldaxlims,errstr] = arrow_clicks(H,ud,x,y,z,ax,oldaxlims) +% handle choosing arrow Start and/or Stop locations if necessary + errstr = ''; + if isempty(H)|isempty(ud)|isempty(x), return; end; + % determine which (if any) need Start and/or Stop + needStart = all(isnan(ud(:,1:3)'))'; + needStop = all(isnan(ud(:,4:6)'))'; + mask = any(needStart|needStop); + if ~any(mask), return; end; + ud(~mask,:)=[]; ax(:,~mask)=[]; + x(:,~mask)=[]; y(:,~mask)=[]; z(:,~mask)=[]; + % make them invisible for the time being + set(H,'Visible','off'); + % save the current axes and limits modes; set to manual for the time being + oldAx = gca; + limModes=get(ax(:),{'XLimMode','YLimMode','ZLimMode'}); + set(ax(:),{'XLimMode','YLimMode','ZLimMode'},{'manual','manual','manual'}); + % loop over each arrow that requires attention + jj = find(mask); + for ii=1:length(jj), + h = H(jj(ii)); + axes(ax(ii)); + % figure out correct call + if needStart(ii), prop='Start'; else, prop='Stop'; end; + [wasInterrupted,errstr] = arrow_click(needStart(ii)&needStop(ii),h,prop,ax(ii)); + % handle errors and control-C + if wasInterrupted, + delete(H(jj(ii:end))); + H(jj(ii:end))=[]; + oldaxlims(jj(ii:end),:)=[]; + break; + end; + end; + % restore the axes and limit modes + axes(oldAx); + set(ax(:),{'XLimMode','YLimMode','ZLimMode'},limModes); + +function [wasInterrupted,errstr] = arrow_click(lockStart,H,prop,ax) +% handle the clicks for one arrow + fig = get(ax,'Parent'); + % save some things + oldFigProps = {'Pointer','WindowButtonMotionFcn','WindowButtonUpFcn'}; + oldFigValue = get(fig,oldFigProps); + oldArrowProps = {'EraseMode'}; + if ~isnumeric(fig), oldArrowProps={}; end %eaj 5/24/16 % only use in HG2 + oldArrowValue = get(H,oldArrowProps); + if isnumeric(fig), %eaj 5/24/16 + set(H,'EraseMode','background'); %because 'xor' makes shaft invisible unless Width>1 -- only use in HG2 + end %eaj 5/24/16 + global ARROW_CLICK_H ARROW_CLICK_PROP ARROW_CLICK_AX ARROW_CLICK_USE_Z + ARROW_CLICK_H=H; ARROW_CLICK_PROP=prop; ARROW_CLICK_AX=ax; + ARROW_CLICK_USE_Z=~arrow_is2DXY(ax)|~arrow_planarkids(ax); + set(fig,'Pointer','crosshair'); + % set up the WindowButtonMotion so we can see the arrow while moving around + set(fig,'WindowButtonUpFcn','set(gcf,''WindowButtonUpFcn'','''')', ... + 'WindowButtonMotionFcn',''); + if ~lockStart, + set(H,'Visible','on'); + set(fig,'WindowButtonMotionFcn',[mfilename '(''callback'',''motion'');']); + end; + % wait for the button to be pressed + [wasKeyPress,wasInterrupted,errstr] = arrow_wfbdown(fig); + % if we wanted to click-drag, set the Start point + if lockStart & ~wasInterrupted, + pt = arrow_point(ARROW_CLICK_AX,ARROW_CLICK_USE_Z); + feval(mfilename,H,'Start',pt,'Stop',pt); + set(H,'Visible','on'); + ARROW_CLICK_PROP='Stop'; + set(fig,'WindowButtonMotionFcn',[mfilename '(''callback'',''motion'');']); + % wait for the mouse button to be released + try + waitfor(fig,'WindowButtonUpFcn',''); + catch + errstr = lasterr; + wasInterrupted = 1; + end; + end; + if ~wasInterrupted, feval(mfilename,'callback','motion'); end; + % restore some things + set(gcf,oldFigProps,oldFigValue); + set(H,oldArrowProps,oldArrowValue); + +function arrow_callback(varargin) +% handle redrawing callbacks + if nargin==0, return; end; + str = varargin{1}; + if ~isstr(str), error([upper(mfilename) ' got an invalid Callback command.']); end; + s = lower(str); + if strcmp(s,'motion'), + % motion callback + global ARROW_CLICK_H ARROW_CLICK_PROP ARROW_CLICK_AX ARROW_CLICK_USE_Z + feval(mfilename,ARROW_CLICK_H,ARROW_CLICK_PROP,arrow_point(ARROW_CLICK_AX,ARROW_CLICK_USE_Z)); + drawnow; + else, + error([upper(mfilename) ' does not recognize ''' str(:).' ''' as a valid Callback option.']); + end; + +function out = arrow_point(ax,use_z) +% return the point on the given axes + if nargin==0, ax=gca; end; + if nargin<2, use_z=~arrow_is2DXY(ax)|~arrow_planarkids(ax); end; + out = get(ax,'CurrentPoint'); + out = out(1,:); + if ~use_z, out=out(1:2); end; + +function [wasKeyPress,wasInterrupted,errstr] = arrow_wfbdown(fig) +% wait for button down ignoring object ButtonDownFcn's + if nargin==0, fig=gcf; end; + errstr = ''; + % save ButtonDownFcn values + objs = findobj(fig); + buttonDownFcns = get(objs,'ButtonDownFcn'); + mask=~strcmp(buttonDownFcns,''); objs=objs(mask); buttonDownFcns=buttonDownFcns(mask); + set(objs,'ButtonDownFcn',''); + % save other figure values + figProps = {'KeyPressFcn','WindowButtonDownFcn'}; + figValue = get(fig,figProps); + % do the real work + set(fig,'KeyPressFcn','set(gcf,''KeyPressFcn'','''',''WindowButtonDownFcn'','''');', ... + 'WindowButtonDownFcn','set(gcf,''WindowButtonDownFcn'','''')'); + lasterr(''); + try + waitfor(fig,'WindowButtonDownFcn',''); + wasInterrupted = 0; + catch + wasInterrupted = 1; + end + wasKeyPress = ~wasInterrupted & strcmp(get(fig,'KeyPressFcn'),''); + if wasInterrupted, errstr=lasterr; end; + % restore ButtonDownFcn and other figure values + set(objs,'ButtonDownFcn',buttonDownFcns); + set(fig,figProps,figValue); + + + +function [out,is2D] = arrow_is2DXY(ax) +% check if axes are 2-D X-Y plots + % may not work for modified camera angles, etc. + out = false(size(ax)); % 2-D X-Y plots + is2D = out; % any 2-D plots + views = get(ax(:),{'View'}); + views = cat(1,views{:}); + out(:) = abs(views(:,2))==90; + is2D(:) = out(:) | all(rem(views',90)==0)'; + +function out = arrow_planarkids(ax) +% check if axes descendents all have empty ZData (lines,patches,surfaces) + out = true(size(ax)); + allkids = get(ax(:),{'Children'}); + for k=1:length(allkids), + kids = get([findobj(allkids{k},'flat','Type','line') + findobj(allkids{k},'flat','Type','patch') + findobj(allkids{k},'flat','Type','surface')],{'ZData'}); + for j=1:length(kids), + if ~isempty(kids{j}), out(k)=logical(0); break; end; + end; + end; + + + +function arrow_fixlimits(ax,lims) +% reset the axis limits as necessary + if isempty(ax) || isempty(lims), disp([upper(mfilename) ' does not remember any axis limits to reset.']); end; + for k=1:numel(ax), + if any(get(ax(k),'XLim')~=lims(1:2,k)'), set(ax(k),'XLim',lims(1:2,k)'); end; + if any(get(ax(k),'YLim')~=lims(3:4,k)'), set(ax(k),'YLim',lims(3:4,k)'); end; + if any(get(ax(k),'ZLim')~=lims(5:6,k)'), set(ax(k),'ZLim',lims(5:6,k)'); end; + end; + + + +function out = arrow_WarpToFill(notstretched,manualcamera,curax) +% check if we are in "WarpToFill" mode. + out = strcmp(get(curax,'WarpToFill'),'on'); + % 'WarpToFill' is undocumented, so may need to replace this by + % out = ~( any(notstretched) & any(manualcamera) ); + + + +function out = arrow_warnlimits(ax,narrows) +% create a warning message if we've changed the axis limits + msg = ''; + switch (numel(ax)) + case 1, msg=''; + case 2, msg='on two axes '; + otherwise, msg='on several axes '; + end; + msg = [upper(mfilename) ' changed the axis limits ' msg ... + 'when adding the arrow']; + if (narrows>1), msg=[msg 's']; end; + out = [msg '.' sprintf('\n') ' Call ' upper(mfilename) ... + ' FIXLIMITS to reset them now.']; + + + +function arrow_copyprops(fm,to) +% copy line properties to patches + props = {'EraseMode','LineStyle','LineWidth','Marker','MarkerSize',... + 'MarkerEdgeColor','MarkerFaceColor','ButtonDownFcn', ... + 'Clipping','DeleteFcn','BusyAction','HandleVisibility', ... + 'Selected','SelectionHighlight','Visible'}; + if ~isnumeric(findobj('Type','root')), props(strcmp(props,'EraseMode'))=[]; end; %eaj 5/24/16 + lineprops = {'Color', props{:}}; + patchprops = {'EdgeColor',props{:}}; + patch2props = {'FaceColor',patchprops{:}}; + fmpatch = strcmp(get(fm,'Type'),'patch'); + topatch = strcmp(get(to,'Type'),'patch'); + set(to( fmpatch& topatch),patch2props,get(fm( fmpatch& topatch),patch2props)); %p->p + set(to(~fmpatch&~topatch),lineprops, get(fm(~fmpatch&~topatch),lineprops )); %l->l + set(to( fmpatch&~topatch),lineprops, get(fm( fmpatch&~topatch),patchprops )); %p->l + set(to(~fmpatch& topatch),patchprops, get(fm(~fmpatch& topatch),lineprops) ,'FaceColor','none'); %l->p + + + +function arrow_props +% display further help info about ARROW properties + c = sprintf('\n'); + disp([c ... + 'ARROW Properties: Default values are given in [square brackets], and other' c ... + ' acceptable equivalent property names are in (parenthesis).' c c ... + ' Start The starting points. For N arrows, B' c ... + ' this should be a Nx2 or Nx3 matrix. /|\ ^' c ... + ' Stop The end points. For N arrows, this /|||\ |' c ... + ' should be a Nx2 or Nx3 matrix. //|||\\ L|' c ... + ' Length Length of the arrowhead (in pixels on ///|||\\\ e|' c ... + ' screen, points on a page). [16] (Len) ////|||\\\\ n|' c ... + ' BaseAngle Angle (degrees) of the base angle /////|D|\\\\\ g|' c ... + ' ADE. For a simple stick arrow, use //// ||| \\\\ t|' c ... + ' BaseAngle=TipAngle. [90] (Base) /// ||| \\\ h|' c ... + ' TipAngle Angle (degrees) of tip angle ABC. //<----->|| \\ |' c ... + ' [16] (Tip) / base ||| \ V' c ... + ' Width Width of the base in pixels. Not E angle ||<-------->C' c ... + ' the ''LineWidth'' prop. [0] (Wid) |||tipangle' c ... + ' Page If provided, non-empty, and not NaN, |||' c ... + ' this causes ARROW to use hardcopy |||' c ... + ' rather than onscreen proportions. A' c ... + ' This is important if screen aspect --> <-- width' c ... + ' ratio and hardcopy aspect ratio are ----CrossDir---->' c ... + ' vastly different. []' c... + ' CrossDir A vector giving the direction towards which the fletches' c ... + ' on the arrow should go. [computed such that it is perpen-' c ... + ' dicular to both the arrow direction and the view direction' c ... + ' (i.e., as if it was pasted on a normal 2-D graph)] (Note' c ... + ' that CrossDir is a vector. Also note that if an axis is' c ... + ' plotted on a log scale, then the corresponding component' c ... + ' of CrossDir must also be set appropriately, i.e., to 1 for' c ... + ' no change in that direction, >1 for a positive change, >0' c ... + ' and <1 for negative change.)' c ... + ' NormalDir A vector normal to the fletch direction (CrossDir is then' c ... + ' computed by the vector cross product [Line]x[NormalDir]). []' c ... + ' (Note that NormalDir is a vector. Unlike CrossDir,' c ... + ' NormalDir is used as is regardless of log-scaled axes.)' c ... + ' Ends Set which end has an arrowhead. Valid values are ''none'',' c ... + ' ''stop'', ''start'', and ''both''. [''stop''] (End)' c... + ' ShortenLength Shorten length of arrowhead(s) if line is too short' c ... + ' ObjectHandles Vector of handles to previously-created arrows to be' c ... + ' updated or line objects to be converted to arrows.' c ... + ' [] (Object,Handle)' c ... + ' Type ''patch'' creates the arrow with a PATCH object (the default)' c ... + ' and ''line'' creates it with a LINE object [''patch''].' c ... + ' Color For patch arrows (the default), set both ''FaceColor'' and' c ... + ' ''EdgeColor'' to the given value. For line arrows, set' c ... + ' the ''Color'' property to the given value.' c ... + ]); + + + +function out = arrow_demo + % demo + % create the data + [x,y,z] = peaks; + [ddd,out.iii]=max(z(:)); + out.axlim = [min(x(:)) max(x(:)) min(y(:)) max(y(:)) min(z(:)) max(z(:))]; + + % modify it by inserting some NaN's + [m,n] = size(z); + m = floor(m/2); + n = floor(n/2); + z(1:m,1:n) = NaN*ones(m,n); + + % graph it + clf('reset'); + out.hs=surf(x,y,z); + out.x=x; out.y=y; out.z=z; + xlabel('x'); ylabel('y'); + +function h = arrow_demo3(in) + % set the view + axlim = in.axlim; + axis(axlim); + zlabel('z'); + %set(in.hs,'FaceColor','interp'); + view(3); % view(viewmtx(-37.5,30,20)); + title(['Demo of the capabilities of the ARROW function in 3-D']); + + % Normal blue arrow + h1 = feval(mfilename,[axlim(1) axlim(4) 4],[-.8 1.2 4], ... + 'EdgeColor','b','FaceColor','b'); + + % Normal white arrow, clipped by the surface + h2 = feval(mfilename,axlim([1 4 6]),[0 2 4]); + t=text(-2.4,2.7,7.7,'arrow clipped by surf'); + + % Baseangle<90 + h3 = feval(mfilename,[3 .125 3.5],[1.375 0.125 3.5],30,50); + t2=text(3.1,.125,3.5,'local maximum'); + + % Baseangle<90, fill and edge colors different + h4 = feval(mfilename,axlim(1:2:5)*.5,[0 0 0],36,60,25, ... + 'EdgeColor','b','FaceColor','c'); + t3=text(axlim(1)*.5,axlim(3)*.5,axlim(5)*.5-.75,'origin'); + set(t3,'HorizontalAlignment','center'); + + % Baseangle>90, black fill + h5 = feval(mfilename,[-2.9 2.9 3],[-1.3 .4 3.2],30,120,[],6, ... + 'EdgeColor','r','FaceColor','k','LineWidth',2); + + % Baseangle>90, no fill + h6 = feval(mfilename,[-2.9 2.9 1.3],[-1.3 .4 1.5],30,120,[],6, ... + 'EdgeColor','r','FaceColor','none','LineWidth',2); + + % Stick arrow + h7 = feval(mfilename,[-1.6 -1.65 -6.5],[0 -1.65 -6.5],[],16,16); + t4=text(-1.5,-1.65,-7.25,'global mininum'); + set(t4,'HorizontalAlignment','center'); + + % Normal, black fill + h8 = feval(mfilename,[-1.4 0 -7.2],[-1.4 0 -3],'FaceColor','k'); + t5=text(-1.5,0,-7.75,'local minimum'); + set(t5,'HorizontalAlignment','center'); + + % Gray fill, crossdir specified, 'LineStyle' -- + h9 = feval(mfilename,[-3 2.2 -6],[-3 2.2 -.05],36,[],27,6,[],[0 -1 0], ... + 'EdgeColor','k','FaceColor',.75*[1 1 1],'LineStyle','--'); + + % a series of normal arrows, linearly spaced, crossdir specified + h10y=(0:4)'/3; + h10 = feval(mfilename,[-3*ones(size(h10y)) h10y -6.5*ones(size(h10y))], ... + [-3*ones(size(h10y)) h10y -.05*ones(size(h10y))], ... + 12,[],[],[],[],[0 -1 0]); + + % a series of normal arrows, linearly spaced + h11x=(1:.33:2.8)'; + h11 = feval(mfilename,[h11x -3*ones(size(h11x)) 6.5*ones(size(h11x))], ... + [h11x -3*ones(size(h11x)) -.05*ones(size(h11x))]); + + % series of magenta arrows, radially oriented, crossdir specified + h12x=2; h12y=-3; h12z=axlim(5)/2; h12xr=1; h12zr=h12z; ir=.15;or=.81; + h12t=(0:11)'/6*pi; + h12 = feval(mfilename, ... + [h12x+h12xr*cos(h12t)*ir h12y*ones(size(h12t)) ... + h12z+h12zr*sin(h12t)*ir],[h12x+h12xr*cos(h12t)*or ... + h12y*ones(size(h12t)) h12z+h12zr*sin(h12t)*or], ... + 10,[],[],[],[], ... + [-h12xr*sin(h12t) zeros(size(h12t)) h12zr*cos(h12t)],... + 'FaceColor','none','EdgeColor','m'); + + % series of normal arrows, tangentially oriented, crossdir specified + or13=.91; h13t=(0:.5:12)'/6*pi; + locs = [h12x+h12xr*cos(h13t)*or13 h12y*ones(size(h13t)) h12z+h12zr*sin(h13t)*or13]; + h13 = feval(mfilename,locs(1:end-1,:),locs(2:end,:),6); + + % arrow with no line ==> oriented downwards + h14 = feval(mfilename,[3 3 .100001],[3 3 .1],30); + t6=text(3,3,3.6,'no line'); set(t6,'HorizontalAlignment','center'); + + % arrow with arrowheads at both ends + h15 = feval(mfilename,[-.5 -3 -3],[1 -3 -3],'Ends','both','FaceColor','g', ... + 'Length',20,'Width',3,'CrossDir',[0 0 1],'TipAngle',25); + + h=[h1;h2;h3;h4;h5;h6;h7;h8;h9;h10;h11;h12;h13;h14;h15]; + +function h = arrow_demo2(in) + axlim = in.axlim; + dolog = 1; + if (dolog), set(in.hs,'YData',10.^get(in.hs,'YData')); end; + shading('interp'); + view(2); + title(['Demo of the capabilities of the ARROW function in 2-D']); + hold on; [C,H]=contour(in.x,in.y,in.z,20,'-'); hold off; + for k=H', + set(k,'ZData',(axlim(6)+1)*ones(size(get(k,'XData'))),'Color','k'); + if (dolog), set(k,'YData',10.^get(k,'YData')); end; + end; + if (dolog), axis([axlim(1:2) 10.^axlim(3:4)]); set(gca,'YScale','log'); + else, axis(axlim(1:4)); end; + + % Normal blue arrow + start = [axlim(1) axlim(4) axlim(6)+2]; + stop = [in.x(in.iii) in.y(in.iii) axlim(6)+2]; + if (dolog), start(:,2)=10.^start(:,2); stop(:,2)=10.^stop(:,2); end; + h1 = feval(mfilename,start,stop,'EdgeColor','b','FaceColor','b'); + + % three arrows with varying fill, width, and baseangle + start = [-3 -3 10; -3 -1.5 10; -1.5 -3 10]; + stop = [-.03 -.03 10; -.03 -1.5 10; -1.5 -.03 10]; + if (dolog), start(:,2)=10.^start(:,2); stop(:,2)=10.^stop(:,2); end; + h2 = feval(mfilename,start,stop,24,[90;60;120],[],[0;0;4],'Ends',str2mat('both','stop','stop')); + set(h2(2),'EdgeColor',[0 .35 0],'FaceColor',[0 .85 .85]); + set(h2(3),'EdgeColor','r','FaceColor',[1 .5 1]); + h=[h1;h2]; + +function out = trueornan(x) +if isempty(x), + out=x; +else, + out = isnan(x); + out(~out) = x(~out); +end; diff --git a/sourcecodes/bnt-master/GraphViz/dot_to_graph.m b/sourcecodes/bnt-master/GraphViz/dot_to_graph.m new file mode 100644 index 00000000..05b47480 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/dot_to_graph.m @@ -0,0 +1,121 @@ +function [Adj, labels, x, y] = dot_to_graph(filename) +% [Adj, labels, x, y] = dot_to_graph(filename) +% Extract a matrix representation, node labels, and node position coordinates +% from a file in GraphViz format http://www.research.att.com/sw/tools/graphviz +% +% INPUTS: +% 'filename' - the file in DOT format containing the graph layout. +% OUTPUT: +% 'Adj' - an adjacency matrix representation of the graph in 'filename'; +% 'labels' - a character array with the names of the nodes of the graph; +% 'x' - a row vector with the x-coordinates of the nodes in 'filename'; +% 'y' - a row vector with the y-coordinates of the nodes in 'filename'. +% +% WARNINGS: not guaranted to parse ANY GraphViz file. Debugged on undirected +% sample graphs from GraphViz(Heawood, Petersen, ER, ngk10_4, process). +% Complaines about RecursionLimit set only to 500 on huge graphs. +% Ignores singletons (disjoint nodes). +% Sample DOT code "ABC.dot", read by [Adj, labels, x, y] = dot_to_graph('ABC.dot') +% digraph G { +% A [pos="28,31"]; +% B [pos="74,87"]; +% A -- B [pos="e,61,71 41,47 46,53 50,58 55,64"]; +% } +% last modified: Jan 2004 +% by Alexi Savov: asavov @wustl.edu | http://artsci.wustl.edu/~azsavov +% Leon Peshkin: pesha @ai.mit.edu | http://www.ai.mit.edu/~pesha +% Tom Minka + +if ~exist(filename) % Checks whether the specified file exists. + error('* * * File does not exist or could not be found. * * *'); +end; + +lines = textread(filename,'%s','delimiter','\n','commentstyle','c'); % Read file into cell array +dot_lines = strvcat(lines); % of lines, ignoring C-style comments + +if findstr(dot_lines(1,:), 'graph ') == [] % Is this a DOT file ? + error('* * * File does not appear to be in valid DOT format. * * *'); +end; + +Nlns = size(dot_lines,1); % The number of lines; +nodes = {}; +unread = 1:Nlns; % 'unread' list of lines which has not been examined yet +edge_id = 1; +Adj = []; +for line_ndx = 1:Nlns % This section sets the adjacency matrix A(Lnode,Rnode) = edge_id. + line = dot_lines(line_ndx,:); + Ddash_pos = strfind(line, ' -- ') + 1; % double dash positions + arrow_pos = strfind(line, ' -> ') + 1; % arrow dash positions + tokens = strread(line,'%s','delimiter',' "'); + left_bound = 1; + for dash_pos = [Ddash_pos arrow_pos]; % if empty - not a POS line + Lnode = sscanf(line(left_bound:dash_pos -2), '%s'); + Rnode = sscanf(line(dash_pos +3 : length(line)-1),'%s',1); + Lndx = strmatch(Lnode, nodes, 'exact'); + Rndx = strmatch(Rnode, nodes, 'exact'); + if isempty(Lndx) % extend our list of nodes + nodes{end+1} = Lnode; + Lndx = length(nodes); + end + if isempty(Rndx) + nodes{end+1} = Rnode; + Rndx = length(nodes); + end + Adj(Lndx, Rndx) = edge_id; + if ismember(dash_pos, Ddash_pos) % The edge is undirected, A(Rndx,LndxL) is also set to 1; + Adj(Rndx, Lndx) = edge_id; + end + edge_id = edge_id + 1; + left_bound = dash_pos + 3; + unread = setdiff(unread, line_ndx); + end +end +Nvrt = length(nodes); % number of vertices we found [Do we ever have singleton vertices ???] +% nodes = strvcat(nodes); % convert to the searchable array +x = zeros(1, Nvrt); +y = zeros(1, Nvrt); +labels = nodes; +% Find node's position coordinates if they are contained in 'filename'. +for line_ndx = unread % Look for node's coordinates among the 'unread' lines. + line = dot_lines(line_ndx,:); + bra_pos = strfind(line, '['); % has to have "[" if it has the label + lst_node = 0; + for node = 1:Nvrt % look through the list of nodes + % THE NEXT STATEMENT we assume no node is substring of any other node + lbl_pos = strfind(line, nodes{node}); + if (~isempty(lbl_pos) & ~isempty(bra_pos) & (x(node) == 0)) % make sure we have not seen it + if (lbl_pos(1) < bra_pos(1)) % label has to be to the left of bracket + lst_node = node; + end + end + end + if lst_node + pos_pos = strfind(line, 'pos'); % position of the "pos" + if ~isempty(pos_pos) % this line contains SOME position + [node_pos] = sscanf(line(pos_pos:end), ' pos = "%d,%d"')'; + x(lst_node) = node_pos(1); + y(lst_node) = node_pos(2); + end + % minka + label_pos = strfind(line, 'label'); % position of the "label" + if ~isempty(label_pos) + label_end = strfind(line(label_pos:end),','); + labels{lst_node} = unquote(line(label_pos+(6:label_end(1)-2))); + end + end +end + +if (isempty(find(x)) & (nargout > 2)) % If coordinates were requested, but not found in 'filename'. + warning('File does not contain node coordinates.'); +end; +if ~(size(Adj,1)==size(Adj,2)) % Make sure Adj is a square matrix. ? + Adj = eye(max(size(Adj)),size(Adj,1))*Adj*eye(size(Adj,2),max(size(Adj))); +end; +x = .9*(x-min(x))/range(x)+.05; % normalise and push off margins +y = .9*(y-min(y))/range(y)+.05; + + + +function s = unquote(s) + +s = strrep(s,'"',''); diff --git a/sourcecodes/bnt-master/GraphViz/draw_dbn.m b/sourcecodes/bnt-master/GraphViz/draw_dbn.m new file mode 100644 index 00000000..89bf2b13 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/draw_dbn.m @@ -0,0 +1,99 @@ +function [x, y, h] = draw_dbn(adj, inter, flip_intra, K, labels, node_t, x, y) +% DRAW_LAYOUT_DBN Draws a layout for a Dynamical Belief Network +% +% [] = DRAW_LAYOUT_DBN(INTRA, INTER, ) +% +% Inputs : +% INTRA, INTER : Adjacency matrices +% FLIP_FLAG : Transposes the DAG layout obtained from INTRA connections +% If X1, Y1 are specified, FLIP_FLAG has no effect. +% K : Unfold K times +% LABELS - if -1, we use 1:N*K +% Rest : See DRAW_LAYOUT +% +% Outputs : +% Xi, Yi : Coordinates of nodes (for i'th timeslice) on the unit square +% H : Object Handles +% +% Usage Example : draw_layout_dbn(intra, inter, 1); +% draw_layout_dbn(intra, inter); +% +% Note : +% See also DRAW_GRAPH + +% Uses : DRAW_GRAPH + +% Change History : +% Date Time Prog Note +% 17-Apr-2000 1:02 PM ATC Created under MATLAB 5.3.1.29215a (R11.1) + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +N = size(adj,1); +if nargin<3, + flip_intra = 0; +end; + +if nargin<4, + K = 2; +end; + +if K<2 | K>7, error('2<=K<=7 must hold..'); end; + + +if nargin<5 +% labels = cellstr(char(zeros(N,1)+double('+'))); +% labels = cellstr(int2str((1:N)')); + labels = cellstr(char((0:N-1)'+double('a'))); +end; + +if nargin<6, + node_t = zeros(N,1); +% node_t = rand(N,1) > 0.5; +end; + +if nargin<7, + [x1 y1] = make_layout(adj); + if flip_intra, tmp = x1; x1 = y1; y1 = tmp; end; +end; + +mid = round(K/2); + + +xi = x1(:)-1; +x = []; +y = repmat(y1(:), [K 1]); +node_t2 = repmat(node_t(:), [K 1]); + +if isa(labels,'double') & labels==-1 % KPM + lb = num2strcell(1:N*K); +else + lb = {}; + for i=1:K, + labels1 = labels(:); + if i==mid, str = ''; else str = sprintf('%+d',i-mid); end; + for i=1:N, + labels1{i} = [labels1{i} '(t' str ')']; + end; + lb = [lb; labels1(:)]; + end; +end + +dag = zeros(N*K); + +for i=1:K, + xi = xi+1; + x = [x; xi]; + + idx = ((i-1)*N+1):i*N; + dag(idx,idx) = adj; + if i .8; +% Adj2 = triu(Adj,1)+ triu(Adj,1)' + diag(zeros(size,1)); +% draw_dot(Adj2) + +% Original: Leon Peshkin +% Modified by Tom Minka + +% minka +N = size(adj,1); +unique_labels = cellstr(num2str((1:N)','%-1d')); +labels = unique_labels; +isbox = zeros(N,1); +rotate_flag = 1; +tolerance = 0.001; +options = ''; +for i = 1:2:length(varargin) + switch varargin{i} + case 'node_label', labels = varargin{i+1}; + % replace with unique labels + varargin{i+1} = unique_labels; + case 'isbox', isbox = varargin{i+1}; + case 'rotate', rotate_flag = varargin{i+1}; + case 'tolerance', tolerance = varargin{i+1}; + case 'start', start = varargin{i+1}; + options = [options ' -Gstart=' num2str(start)]; + case 'options', options = [options ' ' varargin{i+1}]; + end +end + +if ispc, shell = 'dos'; else, shell = 'unix'; end % Which OS ? + +cmdline = strcat(shell,'(''neato -V'')'); +status = eval(cmdline); +%[status, result] = dos('neato -V'); % request version to check NEATO +if status == 1, fprintf('Complaining \n'); exit, end + +tmpDOTfile = '_GtDout.dot'; % to be platform independant no use of directories +tmpLAYOUT = '_LAYout.dot'; +graph_to_dot(adj > 0, 'filename', tmpDOTfile, 'node_label', unique_labels, varargin{:}); % save in file + +cmdline = strcat([shell '(''neato -Tdot ' tmpDOTfile options ' -o ' tmpLAYOUT ''')']); % preserve trailing spaces +status = eval(cmdline); % get NEATO todo layout + +[adj, permuted_labels, x, y] = dot_to_graph(tmpLAYOUT); % load layout +delete(tmpLAYOUT); delete(tmpDOTfile); % clean up temporary files + +% permute the original arguments to match permuted_labels. +order = []; +for i = 1:length(permuted_labels) + j = strmatch(permuted_labels{i},unique_labels,'exact'); + order(i) = j(1); +end +labels = labels(order); +isbox = isbox(order); +if rotate_flag + [x,y] = best_rotation(x,y,tolerance); +end + +figure(1); clf; axis square % now plot +[x, y, h] = draw_graph(adj>0, labels, isbox, x, y, varargin{:}); + + +function [x,y] = best_rotation(x,y,h) +% Rotate the points to maximize the horizontal and vertical alignment. +% Written by Tom Minka. + +xm = mean(x); +ym = mean(y); +xr = max(x)-min(x); +yr = max(y)-min(y); +x = (x-xm)/xr; +y = (y-ym)/yr; + +xy = [x(:) y(:)]; +if 1 + angle = fminbnd(@rotation_cost,-pi/4,pi/4,[],xy,h); +else + angles = linspace(-pi/4,pi/4,40); + e = []; + for i = 1:length(angles) + e(i) = rotation_cost(angles(i),xy,h); + end + %figure(2) + %plot(angles*180/pi,e) + angle = angles(argmin(e)); +end +%angle*180/pi +c = cos(angle); s = sin(angle); +xy = xy*[c s; -s c]; + +x = xy(:,1)*xr+xm; +y = xy(:,2)*yr+ym; + + +function e = rotation_cost(angle,xy,h) +% xy is 2-column matrix. +% e is small if many x's and y's are aligned. + +c = cos(angle); s = sin(angle); +xy = xy*[c s; -s c]; +dx = sqdist(xy(:,1)',xy(:,1)'); +dy = sqdist(xy(:,2)',xy(:,2)'); +dx = setdiag(dx,Inf); +dy = setdiag(dy,Inf); +e = sum(exp(-dx(:)/h))+sum(exp(-dy(:)/h)); +e = -e; diff --git a/sourcecodes/bnt-master/GraphViz/draw_graph.m b/sourcecodes/bnt-master/GraphViz/draw_graph.m new file mode 100644 index 00000000..be9a5b5b --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/draw_graph.m @@ -0,0 +1,335 @@ +function [x, y, h] = draw_graph(adj, labels, node_t, x, y, varargin) +% DRAW_LAYOUT Draws a layout for a graph +% +% [X, Y, H] = DRAW_LAYOUT(ADJ, ) +% +% Inputs : +% ADJ : Adjacency matrix (source, sink) +% LABELS : Cell array containing labels +% ISBOX : 1 if node is a box, 0 if oval +% X, Y, : Coordinates of nodes on the unit square +% +% Outputs : +% X, Y : Coordinates of nodes on the unit square +% H : Object handles +% +% Usage Example : [x, y] = draw_layout([0 1;0 0], {'Hidden','Visible'}, [1 0]'); +% +% h(i,1) is the text handle - color +% h(i,2) is the circle handle - facecolor +% +% See also MAKE_LAYOUT + +% Change History : +% Date Time Prog Note +% 13-Apr-2000 9:06 PM ATC Created under MATLAB 5.3.1.29215a (R11.1) +% +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +adj = double(adj); +N = size(adj,1); +if nargin<2, + labels = cellstr(int2str((1:N)')); +end + +if nargin<3, + node_t = zeros(N,1); +else + node_t = node_t(:); +end; + +axis([0 1 0 1]); +set(gca,'XTick',[],'YTick',[],'box','on'); +% axis('square'); +%colormap(flipud(gray)); + +if nargin<4, + [x y] = make_layout(adj); +end; + +idx1 = find(node_t==0); h1 = []; wd1=[]; +if ~isempty(idx1) + [h1 wd1] = textoval(x(idx1), y(idx1), labels(idx1), varargin{:}); +end; + +idx2 = find(node_t~=0); h2 = []; wd2 = []; +if ~isempty(idx2) + [h2 wd2] = textbox(x(idx2), y(idx2), labels(idx2), varargin{:}); +end; + +wd = zeros(size(wd1,1)+size(wd2,1),2); +if ~isempty(idx1), wd(idx1, :) = wd1; end; +if ~isempty(idx2), wd(idx2, :) = wd2; end; + +% coloring +color.box = 'black'; +color.text = color.box; +color.edge = [1 1 1]*3/4; +%color.edge = 'green'; +if ~isempty(idx1) + set(h1(:,1),'Color',color.text) + set(h1(:,2),'EdgeColor',color.box) +end +if ~isempty(idx2) + set(h2(:,1),'Color',color.text) + set(h2(:,2),'EdgeColor',color.box) +end + +% bug: this code assumes [x y] is the center of each box and oval, which +% isn't exactly true. +h_edge = []; +for i=1:N, + j = find(adj(i,:)==1); + for k=j, + if x(k)-x(i)==0, + sign = 1; + if y(i)>y(k), alpha = -pi/2; else alpha = pi/2; end; + else + alpha = atan((y(k)-y(i))/(x(k)-x(i))); + if x(i)2, + h = zeros(length(wd),2); + if ~isempty(idx1), + h(idx1,:) = h1; + end; + if ~isempty(idx2), + h(idx2,:) = h2; + end; +end; + +%%%%% + +function [t, wd] = textoval(x, y, str, varargin) +% TEXTOVAL Draws an oval around text objects +% +% [T, WIDTH] = TEXTOVAL(X, Y, STR) +% [..] = TEXTOVAL(STR) % Interactive +% +% Inputs : +% X, Y : Coordinates +% TXT : Strings +% +% Outputs : +% T : Object Handles +% WIDTH : x and y Width of ovals +% +% Usage Example : [t] = textoval('Visit to Asia?'); +% +% +% Note : +% See also TEXTBOX + +% Uses : + +% Change History : +% Date Time Prog Note +% 15-Jun-1998 10:36 AM ATC Created under MATLAB 5.1.0.421 +% 12-Mar-2004 10:00 AM minka Changed placement/sizing. +% +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +temp = []; +textProperties = {'BackgroundColor','Color','FontAngle','FontName','FontSize','FontUnits','FontWeight','Rotation'}; +varargin = argfilter(varargin,textProperties); + +if nargin == 1 + str = x; +end +if ~isa(str,'cell') str=cellstr(str); end; +N = length(str); +wd = zeros(N,2); +for i=1:N, + if nargin == 1 + [x, y] = ginput(1); + end + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center',varargin{:}); + % minka + [ptc wx wy] = draw_oval(tx); + wd(i,:) = [wx wy]; + % draw_oval will paint over the text, so need to redraw it + delete(tx); + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center',varargin{:}); + temp = [temp; tx ptc]; +end +if nargout>0, t = temp; end; + +%%%%%%%%% + + +function [ptc, wx, wy] = draw_oval(tx, x, y) +% Draws an oval box around a tex object +sz = get(tx,'Extent'); +% minka +wy = 2/3*sz(4); +wx = 2/3*sz(3); +x = sz(1)+sz(3)/2; +y = sz(2)+sz(4)/2; +ptc = ellipse(x, y, wx, wy); +set(ptc, 'FaceColor','w'); + + +%%%%%%%%%%%%% + +function [p] = ellipse(x, y, rx, ry, c) +% ELLIPSE Draws Ellipse shaped patch objects +% +% [

] = ELLIPSE(X, Y, Rx, Ry, C) +% +% Inputs : +% X : N x 1 vector of x coordinates +% Y : N x 1 vector of y coordinates +% Rx, Ry : Radii +% C : Color index +% +% +% Outputs : +% P = Handles of Ellipse shaped path objects +% +% Usage Example : [] = ellipse(); +% +% +% Note : +% See also + +% Uses : + +% Change History : +% Date Time Prog Note +% 27-May-1998 9:55 AM ATC Created under MATLAB 5.1.0.421 + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +if (nargin < 2) error('Usage Example : e = ellipse([0 1],[0 -1],[1 0.5],[2 0.5]); '); end; +if (nargin < 3) rx = 0.1; end; +if (nargin < 4) ry = rx; end; +if (nargin < 5) c = 1; end; + +if length(c)==1, c = ones(size(x)).*c; end; +if length(rx)==1, rx = ones(size(x)).*rx; end; +if length(ry)==1, ry = ones(size(x)).*ry; end; + +n = length(x); +p = zeros(size(x)); +t = 0:pi/30:2*pi; +for i=1:n, + px = rx(i)*cos(t)+x(i); + py = ry(i)*sin(t)+y(i); + p(i) = patch(px,py,c(i)); +end; + +if nargout>0, pp = p; end; + +%%%%% + +function [t, wd] = textbox(x,y,str,varargin) +% TEXTBOX Draws A Box around the text +% +% [T, WIDTH] = TEXTBOX(X, Y, STR) +% [..] = TEXTBOX(STR) +% +% Inputs : +% X, Y : Coordinates +% TXT : Strings +% +% Outputs : +% T : Object Handles +% WIDTH : x and y Width of boxes +%% +% Usage Example : t = textbox({'Ali','Veli','49','50'}); +% +% +% Note : +% See also TEXTOVAL + +% Uses : + +% Change History : +% Date Time Prog Note +% 09-Jun-1998 11:43 AM ATC Created under MATLAB 5.1.0.421 +% 12-Mar-2004 10:00 AM minka Changed placement/sizing. +% +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +temp = []; +textProperties = {'BackgroundColor','Color','FontAngle','FontName','FontSize','FontUnits','FontWeight','Rotation'}; +varargin = argfilter(varargin,textProperties); + +if nargin == 1 + str = x; +end +if ~isa(str,'cell') str=cellstr(str); end; +N = length(str); +wd = zeros(N,2); +for i=1:N, + if nargin == 1 + [x, y] = ginput(1); + end + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center',varargin{:}); + % minka + [ptc wx wy] = draw_box(tx); + wd(i,:) = [wx wy]; + % draw_box will paint over the text, so need to redraw it + delete(tx); + tx = text(x(i),y(i),str{i},'HorizontalAlignment','center',varargin{:}); + temp = [temp; tx ptc]; +end; + +if nargout>0, t = temp; end; + + +function [ptc, wx, wy] = draw_box(tx) +% Draws a box around a text object +sz = get(tx,'Extent'); +% minka +wy = 1/2*sz(4); +wx = 1/2*sz(3); +x = sz(1)+sz(3)/2; +y = sz(2)+sz(4)/2; +ptc = patch([x-wx x+wx x+wx x-wx], [y+wy y+wy y-wy y-wy],'w'); +set(ptc, 'FaceColor','w'); + + + +function args = argfilter(args,keep) +%ARGFILTER Remove unwanted arguments. +% ARGFILTER(ARGS,KEEP), where ARGS = {'arg1',value1,'arg2',value2,...}, +% returns a new argument list where only the arguments named in KEEP are +% retained. KEEP is a character array or cell array of strings. + +% Written by Tom Minka + +if ischar(keep) + keep = cellstr(keep); +end +i = 1; +while i < length(args) + if ~ismember(args{i},keep) + args = args(setdiff(1:length(args),[i i+1])); + else + i = i + 2; + end +end diff --git a/sourcecodes/bnt-master/GraphViz/draw_graph_test.m b/sourcecodes/bnt-master/GraphViz/draw_graph_test.m new file mode 100644 index 00000000..0d3aa186 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/draw_graph_test.m @@ -0,0 +1,50 @@ +% TEST_LAYOUT Script to test some bayesian net layouts +% + +% Change History : +% Date Time Prog Note +% 13-Apr-2000 10:40 PM ATC Created under MATLAB 5.3.1.29215a (R11.1) + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +%bnet = mk_asia_bnet; +%draw_graph(bnet.dag); + +% Make the following network (from Jensen (1996) p84 fig 4.17) +% 1 +% / | \ +% 2 3 4 +% | | | +% 5 6 7 +% \/ \/ +% 8 9 +% where all arcs point downwards + +disp('plot directed') +clf; + +N = 9; +dag = zeros(N,N); +dag(1,2)=1; dag(1,3)=1; dag(1,4)=1; +dag(2,5)=1; dag(3,6)=1; dag(4,7)=1; +dag(5,8)=1; dag(6,8)=1; dag(6,9)=1; dag(7,9) = 1; + +draw_graph(dag); + +pause +clf +disp('plot undirected') +udag = [dag+dag']; +draw_graph(udag); + +pause +clf +disp('plot mixed') +mg = [dag]; +mg(2,1) = 1; mg(8,5) = 1; +draw_graph(mg); + + + diff --git a/sourcecodes/bnt-master/GraphViz/draw_hmm.m b/sourcecodes/bnt-master/GraphViz/draw_hmm.m new file mode 100644 index 00000000..e517789c --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/draw_hmm.m @@ -0,0 +1,117 @@ +function draw_hmm(A, varargin) +% DRAW_HMM Make a picture of the HMM using dotty +% function draw_hmm(A, ...) +% +% For details on dotty, see http://www.research.att.com/sw/tools/graphviz +% +% If A(i,j) > thresh, we draw and arc from state i to state j. +% +% Optional arguments (name/value pairs) [default] +% +% thresh - [1e-1] +% obsprob - If B(i,o) > 0, we include "o" in the name of state i. +% e.g., if state 5 emits 1,3,7, its label becomes "5: 1 3 7". +% startprob - ifstartprob(i) > 0, the state name will be prefixed with "+". +% endprob - if endprob(i) > 0, the state name will be appended with "-". +% filename - if [], we write to 'tmp.dot', convert this to 'tmp.ps' +% using 'dot -Tps tmp.dot -o tmp.ps', and then call ghostview to display the result. +% dot and gv must be on your system path. +% If filename ~= [], we just generate the dot file, and do not +% convert it to postscript or call ghostview. + +[thresh, B, startprob, endprob, filename] = ... + process_options(varargin, 'thresh', 1e-1, 'obsprob', [], 'startprob', [], 'endprob', [], ... + 'filename', []); + +Q = length(A); + +arclabel = cell(Q,Q); +G = zeros(Q,Q); +for i=1:Q + for j=1:Q + if A(i,j) < thresh + arclabel{i,j} = ''; + else + G(i,j) = 1; + arclabel{i,j} = sprintf('%5.3f', A(i,j)); + end + end +end + + +nodelabel = cell(1,Q); +for i=1:Q + % annotate start/stop states + if ~isempty(startprob) & ~approxeq(startprob(i), 0) + start = '+'; + else + start = ''; + end + if ~isempty(endprob) & ~approxeq(hmm.endprob(i), 0) + stop = '-'; + else + stop = ''; + end + label = sprintf('%s%d%s :', start, i, stop); + + if ~isempty(B) + output_label = mk_output_label(B); + label = strcat(label, output_label); + end + + nodelabel{i} = label; +end + + +if isempty(filename) + filename = 'tmp.dot'; + %mkdot(G, filename, arclabel, nodelabel) + graph_to_dot(G, 'filename', filename, 'arc_label', arclabel, 'node_label', nodelabel); + fprintf('converting from .ps to .dot\n') + !dot -Tps tmp.dot -o tmp.ps + !gv tmp.ps & +else + graph_to_dot(G, 'filename', filename, 'arc_label', arclabel, 'node_label', nodelabel); + %mkdot(G, filename, arclabel, nodelabel) +end + + +%%%%%%%%% + +function label = mk_output_label(B) + +[Q O] = size(B); +label = ''; + +if 0 + % print most probable symbols + for i=1:Q + m = max(B(i,:)); + ndx = find(abs(B(i,:) - repmat(m,1,O)) < 1e-2); + %ndx = find(B(i,:)==m); + %label = sprintf('%d,', ndx); + end +end + +if 0 + % print prob distrib over all symbols + for o=1:O + if approxeq(B(i,o), 0) + % + else + label = strcat(label, sprintf('%d(%3.2f),', o, B(i,o))); + end + end +end + +if 1 + % print all non-zero symbols + chars = ['a' 'b' 'c']; + for o=1:O + if approxeq(B(i,o), 0) + % + else + label = strcat(label, sprintf('%s', chars(o))); + end + end +end diff --git a/sourcecodes/bnt-master/GraphViz/editGraphGUI.m b/sourcecodes/bnt-master/GraphViz/editGraphGUI.m new file mode 100644 index 00000000..45de6497 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/editGraphGUI.m @@ -0,0 +1,16 @@ +function g +%here is how one creates a function ("callback") which does something +%(prints the node label) when you click on the node's text in Matlab figure. +% +% Leon Peshkin http://www.ai.mit.edu/~pesha +% +%draw_graph(...) + + % "gca" is the current "axes" object, parent of all objects in figure + % "gcbo" is the handle of the object whose callback is being executed + % "findall" gives handles to all elements of a given type in the figure +text_elms = findall(gca,'Type','text'); +for ndx = 1:length(text_elms) + callbk = 'my_call(str2num(get(gcbo,''String'')))'; + set(text_elms(ndx), 'ButtonDownFcn', callbk); % assume the node label is a number +end diff --git a/sourcecodes/bnt-master/GraphViz/graph_to_dot.m b/sourcecodes/bnt-master/GraphViz/graph_to_dot.m new file mode 100644 index 00000000..c9f692d1 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/graph_to_dot.m @@ -0,0 +1,86 @@ +function graph_to_dot(adj, varargin) +%GRAPH_TO_DOT Makes a GraphViz (AT&T) file representing an adjacency matrix +% graph_to_dot(adj, ...) writes to the specified filename. +% +% Optional arguments can be passed as name/value pairs: [default] +% +% 'filename' - if omitted, writes to 'tmp.dot' +% 'arc_label' - arc_label{i,j} is a string attached to the i-j arc [""] +% 'node_label' - node_label{i} is a string attached to the node i ["i"] +% 'width' - width in inches [10] +% 'height' - height in inches [10] +% 'leftright' - 1 means layout left-to-right, 0 means top-to-bottom [0] +% 'directed' - 1 means use directed arcs, 0 means undirected [1] +% +% For details on graphviz, See http://www.research.att.com/sw/tools/graphviz +% +% See also dot_to_graph and draw_dot. + +% First version written by Kevin Murphy 2002. +% Modified by Leon Peshkin, Jan 2004. +% Bugfix by Tom Minka, Mar 2004. + +node_label = []; arc_label = []; % set default args +width = 10; height = 10; +leftright = 0; directed = 1; filename = 'tmp.dot'; + +for i = 1:2:nargin-1 % get optional args + switch varargin{i} + case 'filename', filename = varargin{i+1}; + case 'node_label', node_label = varargin{i+1}; + case 'arc_label', arc_label = varargin{i+1}; + case 'width', width = varargin{i+1}; + case 'height', height = varargin{i+1}; + case 'leftright', leftright = varargin{i+1}; + case 'directed', directed = varargin{i+1}; + end +end +% minka +if ~directed + adj = triu(adj | adj'); +end + +fid = fopen(filename, 'w'); +if directed + fprintf(fid, 'digraph G {\n'); + arctxt = '->'; + if isempty(arc_label) + labeltxt = ''; + else + labeltxt = '[label="%s"]'; + end +else + fprintf(fid, 'graph G {\n'); + arctxt = '--'; + if isempty(arc_label) + labeltxt = '[dir=none]'; + else + labeltext = '[label="%s",dir=none]'; + end +end +edgeformat = strcat(['%d ',arctxt,' %d ',labeltxt,';\n']); +fprintf(fid, 'center = 1;\n'); +fprintf(fid, 'size=\"%d,%d\";\n', width, height); +if leftright + fprintf(fid, 'rankdir=LR;\n'); +end +Nnds = length(adj); +for node = 1:Nnds % process nodes + if isempty(node_label) + fprintf(fid, '%d;\n', node); + else + fprintf(fid, '%d [ label = "%s" ];\n', node, node_label{node}); + end +end +for node1 = 1:Nnds % process edges + arcs = find(adj(node1,:)); % children(adj, node); + for node2 = arcs + if ~isempty(arc_label) + fprintf(fid, edgeformat,node1,node2,arc_label{node1,node2}); + else + fprintf(fid, edgeformat, node1, node2); + end + end +end +fprintf(fid, '}'); +fclose(fid); diff --git a/sourcecodes/bnt-master/GraphViz/make_layout.m b/sourcecodes/bnt-master/GraphViz/make_layout.m new file mode 100644 index 00000000..69740b76 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/make_layout.m @@ -0,0 +1,172 @@ +function [x, y] = make_layout(adj) + +%function [x, y] = layout_dag(adj) +% MAKE_LAYOUT Creates a layout from an adjacency matrix +% +% [X, Y] = MAKE_LAYOUT(ADJ) +% +% Inputs : +% ADJ = adjacency matrix (source, sink) +% +% Outputs : +% X, Y : Positions of nodes +% +% Usage Example : [X, Y] = make_layout(adj); +% +% +% Note : Uses some very simple heuristics, so any other +% algorithm would create a nicer layout +% +% See also + +% Uses : + +% Change History : +% Date Time Prog Note +% 13-Apr-2000 8:25 PM ATC Created under MATLAB 5.3.1.29215a (R11.1) + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +N = size(adj,1); +tps = toposort(adj); + +if ~isempty(tps), % is directed ? + level = zeros(1,N); + for i=tps, + idx = find(adj(:,i)); + if ~isempty(idx), + l = max(level(idx)); + level(i)=l+1; + end; + end; +else + level = poset(adj,1)'-1; +end; + +y = (level+1)./(max(level)+2); +y = 1-y; +x = zeros(size(y)); +for i=0:max(level), + idx = find(level==i); + offset = (rem(i,2)-0.5)/10; + x(idx) = (1:length(idx))./(length(idx)+1)+offset; +end; + +%%%%%%% + +function [depth] = poset(adj, root) +% POSET Identify a partial ordering among the nodes of a graph +% +% [DEPTH] = POSET(ADJ,ROOT) +% +% Inputs : +% ADJ : Adjacency Matrix +% ROOT : Node to start with +% +% Outputs : +% DEPTH : Depth of the Node +% +% Usage Example : [depth] = poset(adj,12); +% +% +% Note : All Nodes must be connected +% See also + +% Uses : + +% Change History : +% Date Time Prog Note +% 17-Jun-1998 12:01 PM ATC Created under MATLAB 5.1.0.421 + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +adj = adj+adj'; + +N = size(adj,1); +depth = zeros(N,1); +depth(root) = 1; +queue = root; + +while 1, + if isempty(queue), + if all(depth), break; + else + root = find(depth==0); + root = root(1); + depth(root) = 1; + queue = root; + end; + end; + r = queue(1); queue(1) = []; + idx = find(adj(r,:)); + idx2 = find(~depth(idx)); + idx = idx(idx2); + queue = [queue idx]; + depth(idx) = depth(r)+1; +end; + +%%%%%%%%% + +function [seq] = toposort(adj) +% TOPOSORT A Topological ordering of nodes in a directed graph +% +% [SEQ] = TOPOSORT(ADJ) +% +% Inputs : +% ADJ : Adjacency Matrix. +% ADJ(i,j)==1 ==> there exists a directed edge +% from i to j +% +% Outputs : +% SEQ : A topological ordered sequence of nodes. +% empty matrix if graph contains cycles. +% +% Usage Example : +% N=5; +% [l,u] = lu(rand(N)); +% adj = ~diag(ones(1,N)) & u>0.5; +% seq = toposort(adj); +% +% +% Note : +% See also + +% Uses : + +% Change History : +% Date Time Prog Note +% 18-May-1998 4:44 PM ATC Created under MATLAB 5.1.0.421 + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +N = size(adj); +indeg = sum(adj,1); +outdeg = sum(adj,2); +seq = []; + +for i=1:N, + % Find nodes with indegree 0 + idx = find(indeg==0); + % If can't find than graph contains a cycle + if isempty(idx), + seq = []; + break; + end; + % Remove the node with the max number of connections + [dummy idx2] = max(outdeg(idx)); + indx = idx(idx2); + seq = [seq, indx]; + indeg(indx)=-1; + idx = find(adj(indx,:)); + indeg(idx) = indeg(idx)-1; +end; + + + + diff --git a/sourcecodes/bnt-master/GraphViz/my_call.m b/sourcecodes/bnt-master/GraphViz/my_call.m new file mode 100644 index 00000000..7059d1fc --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/my_call.m @@ -0,0 +1,3 @@ +function my_call(value) +fprintf('%d \n', value); % might check here whether this is a label at all + % since we get here by clicking on ANY text in figure diff --git a/sourcecodes/bnt-master/GraphViz/process_options.m b/sourcecodes/bnt-master/GraphViz/process_options.m new file mode 100644 index 00000000..5e17eb89 --- /dev/null +++ b/sourcecodes/bnt-master/GraphViz/process_options.m @@ -0,0 +1,132 @@ +% PROCESS_OPTIONS - Processes options passed to a Matlab function. +% This function provides a simple means of +% parsing attribute-value options. Each option is +% named by a unique string and is given a default +% value. +% +% Usage: [var1, var2, ..., varn[, unused]] = ... +% process_options(args, ... +% str1, def1, str2, def2, ..., strn, defn) +% +% Arguments: +% args - a cell array of input arguments, such +% as that provided by VARARGIN. Its contents +% should alternate between strings and +% values. +% str1, ..., strn - Strings that are associated with a +% particular variable +% def1, ..., defn - Default values returned if no option +% is supplied +% +% Returns: +% var1, ..., varn - values to be assigned to variables +% unused - an optional cell array of those +% string-value pairs that were unused; +% if this is not supplied, then a +% warning will be issued for each +% option in args that lacked a match. +% +% Examples: +% +% Suppose we wish to define a Matlab function 'func' that has +% required parameters x and y, and optional arguments 'u' and 'v'. +% With the definition +% +% function y = func(x, y, varargin) +% +% [u, v] = process_options(varargin, 'u', 0, 'v', 1); +% +% calling func(0, 1, 'v', 2) will assign 0 to x, 1 to y, 0 to u, and 2 +% to v. The parameter names are insensitive to case; calling +% func(0, 1, 'V', 2) has the same effect. The function call +% +% func(0, 1, 'u', 5, 'z', 2); +% +% will result in u having the value 5 and v having value 1, but +% will issue a warning that the 'z' option has not been used. On +% the other hand, if func is defined as +% +% function y = func(x, y, varargin) +% +% [u, v, unused_args] = process_options(varargin, 'u', 0, 'v', 1); +% +% then the call func(0, 1, 'u', 5, 'z', 2) will yield no warning, +% and unused_args will have the value {'z', 2}. This behaviour is +% useful for functions with options that invoke other functions +% with options; all options can be passed to the outer function and +% its unprocessed arguments can be passed to the inner function. + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [varargout] = process_options(args, varargin) + +% Check the number of input arguments +n = length(varargin); +if (mod(n, 2)) + error('Each option must be a string/value pair.'); +end + +% Check the number of supplied output arguments +if (nargout < (n / 2)) + error('Insufficient number of output arguments given'); +elseif (nargout == (n / 2)) + warn = 1; + nout = n / 2; +else + warn = 0; + nout = n / 2 + 1; +end + +% Set outputs to be defaults +varargout = cell(1, nout); +for i=2:2:n + varargout{i/2} = varargin{i}; +end + +% Now process all arguments +nunused = 0; +for i=1:2:length(args) + found = 0; + for j=1:2:n + if strcmpi(args{i}, varargin{j}) + varargout{(j + 1)/2} = args{i + 1}; + found = 1; + break; + end + end + if (~found) + if (warn) + warning(sprintf('Option ''%s'' not used.', args{i})); + args{i} + else + nunused = nunused + 1; + unused{2 * nunused - 1} = args{i}; + unused{2 * nunused} = args{i + 1}; + end + end +end + +% Assign the unused arguments +if (~warn) + if (nunused) + varargout{nout} = unused; + else + varargout{nout} = cell(0); + end +end diff --git a/sourcecodes/bnt-master/HMM/CVS/Entries b/sourcecodes/bnt-master/HMM/CVS/Entries new file mode 100644 index 00000000..b9105b50 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/CVS/Entries @@ -0,0 +1,29 @@ +/README.txt/1.1.1.1/Thu Jun 9 01:22:48 2005// +/dhmm_em.m/1.1.1.1/Thu Jun 9 01:25:04 2005// +/dhmm_em_demo.m/1.1.1.1/Sun May 4 22:01:12 2003// +/dhmm_em_online.m/1.1.1.1/Sun May 4 22:02:58 2003// +/dhmm_em_online_demo.m/1.1.1.1/Sun May 4 22:04:10 2003// +/dhmm_logprob.m/1.1.1.1/Sun May 4 22:01:34 2003// +/dhmm_logprob_brute_force.m/1.1.1.1/Wed May 29 15:59:56 2002// +/dhmm_logprob_path.m/1.1.1.1/Wed May 29 15:59:56 2002// +/dhmm_sample.m/1.1.1.1/Mon May 31 22:19:50 2004// +/dhmm_sample_endstate.m/1.1.1.1/Sun May 4 22:00:34 2003// +/fixed_lag_smoother.m/1.1.1.1/Wed Jan 22 17:56:04 2003// +/fixed_lag_smoother_demo.m/1.1.1.1/Thu Jun 9 01:27:20 2005// +/fwdback.m/1.1.1.1/Thu Jun 9 01:17:50 2005// +/gausshmm_train_observed.m/1.1.1.1/Thu Feb 12 23:08:22 2004// +/mc_sample.m/1.1.1.1/Mon May 24 22:26:34 2004// +/mc_sample_endstate.m/1.1.1.1/Wed Jan 22 20:32:28 2003// +/mdp_sample.m/1.1.1.1/Wed May 29 15:59:56 2002// +/mhmmParzen_train_observed.m/1.1.1.1/Sat Feb 14 02:06:30 2004// +/mhmm_em.m/1.1.1.1/Sun Feb 8 04:52:42 2004// +/mhmm_em_demo.m/1.1.1.1/Tue May 13 16:11:22 2003// +/mhmm_logprob.m/1.1.1.1/Sun May 4 22:11:54 2003// +/mhmm_sample.m/1.1.1.1/Wed May 26 00:32:28 2004// +/mk_leftright_transmat.m/1.1.1.1/Wed May 29 15:59:58 2002// +/mk_rightleft_transmat.m/1.1.1.1/Fri Nov 22 21:45:52 2002// +/pomdp_sample.m/1.1.1.1/Sun May 4 21:58:20 2003// +/testHMM.m/1.1.1.1/Thu Jun 9 01:25:50 2005// +/transmat_train_observed.m/1.1.1.1/Sun Aug 29 12:41:52 2004// +/viterbi_path.m/1.1.1.1/Sat Oct 23 01:18:22 2004// +D diff --git a/sourcecodes/bnt-master/HMM/CVS/Repository b/sourcecodes/bnt-master/HMM/CVS/Repository new file mode 100644 index 00000000..5f13f5c3 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/CVS/Repository @@ -0,0 +1 @@ +FullBNT/HMM diff --git a/sourcecodes/bnt-master/HMM/CVS/Root b/sourcecodes/bnt-master/HMM/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/HMM/README.txt b/sourcecodes/bnt-master/HMM/README.txt new file mode 100644 index 00000000..2e6ab78f --- /dev/null +++ b/sourcecodes/bnt-master/HMM/README.txt @@ -0,0 +1,23 @@ +Hidden Markov Model (HMM) Toolbox written by Kevin Murphy (1998). +See http://www.ai.mit.edu/~murphyk/Software/hmm.html for details. + +Models +------ + +dhmm = HMM with discrete output +mhmm = HMM with mixture of Gaussians output; + Use mhmm with M=1 components to simulate an HMM with a single Gaussian output. + +Demos +----- + +mhmm_em_demo +dhmm_em_demo +dhmm_em_online_demo +fixed_lag_smoother_demo + +References +----------- + +See "A tutorial on Hidden Markov Models and selected applications in speech recognition", + L. Rabiner, 1989, Proc. IEEE 77(2):257--286. diff --git a/sourcecodes/bnt-master/HMM/dhmm_em.m b/sourcecodes/bnt-master/HMM/dhmm_em.m new file mode 100644 index 00000000..34ac1c6d --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_em.m @@ -0,0 +1,124 @@ +function [LL, prior, transmat, obsmat, nrIterations] = ... + dhmm_em(data, prior, transmat, obsmat, varargin) +% LEARN_DHMM Find the ML/MAP parameters of an HMM with discrete outputs using EM. +% [ll_trace, prior, transmat, obsmat, iterNr] = learn_dhmm(data, prior0, transmat0, obsmat0, ...) +% +% Notation: Q(t) = hidden state, Y(t) = observation +% +% INPUTS: +% data{ex} or data(ex,:) if all sequences have the same length +% prior(i) +% transmat(i,j) +% obsmat(i,o) +% +% Optional parameters may be passed as 'param_name', param_value pairs. +% Parameter names are shown below; default values in [] - if none, argument is mandatory. +% +% 'max_iter' - max number of EM iterations [10] +% 'thresh' - convergence threshold [1e-4] +% 'verbose' - if 1, print out loglik at every iteration [1] +% 'obs_prior_weight' - weight to apply to uniform dirichlet prior on observation matrix [0] +% +% To clamp some of the parameters, so learning does not change them: +% 'adj_prior' - if 0, do not change prior [1] +% 'adj_trans' - if 0, do not change transmat [1] +% 'adj_obs' - if 0, do not change obsmat [1] +% +% Modified by Herbert Jaeger so xi are not computed individually +% but only their sum (over time) as xi_summed; this is the only way how they are used +% and it saves a lot of memory. + +[max_iter, thresh, verbose, obs_prior_weight, adj_prior, adj_trans, adj_obs] = ... + process_options(varargin, 'max_iter', 10, 'thresh', 1e-4, 'verbose', 1, ... + 'obs_prior_weight', 0, 'adj_prior', 1, 'adj_trans', 1, 'adj_obs', 1); + +previous_loglik = -inf; +loglik = 0; +converged = 0; +num_iter = 1; +LL = []; + +if ~iscell(data) + data = num2cell(data, 2); % each row gets its own cell +end + +while (num_iter <= max_iter) & ~converged + % E step + [loglik, exp_num_trans, exp_num_visits1, exp_num_emit] = ... + compute_ess_dhmm(prior, transmat, obsmat, data, obs_prior_weight); + + % M step + if adj_prior + prior = normalise(exp_num_visits1); + end + if adj_trans & ~isempty(exp_num_trans) + transmat = mk_stochastic(exp_num_trans); + end + if adj_obs + obsmat = mk_stochastic(exp_num_emit); + end + + if verbose, fprintf(1, 'iteration %d, loglik = %f\n', num_iter, loglik); end + num_iter = num_iter + 1; + converged = em_converged(loglik, previous_loglik, thresh); + previous_loglik = loglik; + LL = [LL loglik]; +end +nrIterations = num_iter - 1; + +%%%%%%%%%%%%%%%%%%%%%%% + +function [loglik, exp_num_trans, exp_num_visits1, exp_num_emit, exp_num_visitsT] = ... + compute_ess_dhmm(startprob, transmat, obsmat, data, dirichlet) +% COMPUTE_ESS_DHMM Compute the Expected Sufficient Statistics for an HMM with discrete outputs +% function [loglik, exp_num_trans, exp_num_visits1, exp_num_emit, exp_num_visitsT] = ... +% compute_ess_dhmm(startprob, transmat, obsmat, data, dirichlet) +% +% INPUTS: +% startprob(i) +% transmat(i,j) +% obsmat(i,o) +% data{seq}(t) +% dirichlet - weighting term for uniform dirichlet prior on expected emissions +% +% OUTPUTS: +% exp_num_trans(i,j) = sum_l sum_{t=2}^T Pr(X(t-1) = i, X(t) = j| Obs(l)) +% exp_num_visits1(i) = sum_l Pr(X(1)=i | Obs(l)) +% exp_num_visitsT(i) = sum_l Pr(X(T)=i | Obs(l)) +% exp_num_emit(i,o) = sum_l sum_{t=1}^T Pr(X(t) = i, O(t)=o| Obs(l)) +% where Obs(l) = O_1 .. O_T for sequence l. + +numex = length(data); +[S O] = size(obsmat); +exp_num_trans = zeros(S,S); +exp_num_visits1 = zeros(S,1); +exp_num_visitsT = zeros(S,1); +exp_num_emit = dirichlet*ones(S,O); +loglik = 0; + +for ex=1:numex + obs = data{ex}; + T = length(obs); + %obslik = eval_pdf_cond_multinomial(obs, obsmat); + obslik = multinomial_prob(obs, obsmat); + [alpha, beta, gamma, current_ll, xi_summed] = fwdback(startprob, transmat, obslik); + + loglik = loglik + current_ll; + exp_num_trans = exp_num_trans + xi_summed; + exp_num_visits1 = exp_num_visits1 + gamma(:,1); + exp_num_visitsT = exp_num_visitsT + gamma(:,T); + % loop over whichever is shorter + if T < O + for t=1:T + o = obs(t); + exp_num_emit(:,o) = exp_num_emit(:,o) + gamma(:,t); + end + else + for o=1:O + ndx = find(obs==o); + if ~isempty(ndx) + exp_num_emit(:,o) = exp_num_emit(:,o) + sum(gamma(:, ndx), 2); + end + end + end +end diff --git a/sourcecodes/bnt-master/HMM/dhmm_em_demo.m b/sourcecodes/bnt-master/HMM/dhmm_em_demo.m new file mode 100644 index 00000000..c6ffa1dd --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_em_demo.m @@ -0,0 +1,25 @@ +O = 3; +Q = 2; + +% "true" parameters +prior0 = normalise(rand(Q,1)); +transmat0 = mk_stochastic(rand(Q,Q)); +obsmat0 = mk_stochastic(rand(Q,O)); + +% training data +T = 5; +nex = 10; +data = dhmm_sample(prior0, transmat0, obsmat0, T, nex); + +% initial guess of parameters +prior1 = normalise(rand(Q,1)); +transmat1 = mk_stochastic(rand(Q,Q)); +obsmat1 = mk_stochastic(rand(Q,O)); + +% improve guess of parameters using EM +[LL, prior2, transmat2, obsmat2] = dhmm_em(data, prior1, transmat1, obsmat1, 'max_iter', 5); +LL + +% use model to compute log likelihood +loglik = dhmm_logprob(data, prior2, transmat2, obsmat2) +% log lik is slightly different than LL(end), since it is computed after the final M step diff --git a/sourcecodes/bnt-master/HMM/dhmm_em_online.m b/sourcecodes/bnt-master/HMM/dhmm_em_online.m new file mode 100644 index 00000000..605a1f5b --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_em_online.m @@ -0,0 +1,80 @@ +function [transmat, obsmat, exp_num_trans, exp_num_emit, gamma, ll] = dhmm_em_online(... + prior, transmat, obsmat, exp_num_trans, exp_num_emit, decay, data, ... + act, adj_trans, adj_obs, dirichlet, filter_only) +% ONLINE_EM Adjust the parameters using a weighted combination of the old and new expected statistics +% +% [transmat, obsmat, exp_num_trans, exp_num_emit, gamma, ll] = online_em(... +% prior, transmat, obsmat, exp_num_trans, exp_num_emit, decay, data, act, ... +% adj_trans, adj_obs, dirichlet, filter_only) +% +% 0 < decay < 1, with smaller values meaning the past is forgotten more quickly. +% (We need to decay the old ess, since they were based on out-of-date parameters.) +% The other params are as in learn_hmm. +% We do a single forwards-backwards pass on the provided data, initializing with the specified prior. +% (If filter_only = 1, we only do a forwards pass.) + +if ~exist('act'), act = []; end +if ~exist('adj_trans'), adj_trans = 1; end +if ~exist('adj_obs'), adj_obs = 1; end +if ~exist('dirichlet'), dirichlet = 0; end +if ~exist('filter_only'), filter_only = 0; end + +% E step +olikseq = multinomial_prob(data, obsmat); +if isempty(act) + [alpha, beta, gamma, ll, xi] = fwdback(prior, transmat, olikseq, 'fwd_only', filter_only); +else + [alpha, beta, gamma, ll, xi] = fwdback(prior, transmat, olikseq, 'fwd_only', filter_only, ... + 'act', act); +end + +% Increment ESS +[S O] = size(obsmat); +if adj_obs + exp_num_emit = decay*exp_num_emit + dirichlet*ones(S,O); + T = length(data); + if T < O + for t=1:T + o = data(t); + exp_num_emit(:,o) = exp_num_emit(:,o) + gamma(:,t); + end + else + for o=1:O + ndx = find(data==o); + if ~isempty(ndx) + exp_num_emit(:,o) = exp_num_emit(:,o) + sum(gamma(:, ndx), 2); + end + end + end +end + +if adj_trans & (T > 1) + if isempty(act) + exp_num_trans = decay*exp_num_trans + sum(xi,3); + else + % act(2) determines Q(2), xi(:,:,1) holds P(Q(1), Q(2)) + A = length(transmat); + for a=1:A + ndx = find(act(2:end)==a); + if ~isempty(ndx) + exp_num_trans{a} = decay*exp_num_trans{a} + sum(xi(:,:,ndx), 3); + end + end + end +end + + +% M step + +if adj_obs + obsmat = mk_stochastic(exp_num_emit); +end +if adj_trans & (T>1) + if isempty(act) + transmat = mk_stochastic(exp_num_trans); + else + for a=1:A + transmat{a} = mk_stochastic(exp_num_trans{a}); + end + end +end diff --git a/sourcecodes/bnt-master/HMM/dhmm_em_online_demo.m b/sourcecodes/bnt-master/HMM/dhmm_em_online_demo.m new file mode 100644 index 00000000..579d89d5 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_em_online_demo.m @@ -0,0 +1,93 @@ +% Example of online EM applied to a simple POMDP with fixed action seq + +clear all + +% Create a really easy model to learn +rand('state', 1); +O = 2; +S = 2; +A = 2; +prior0 = [1 0]'; +transmat0 = cell(1,A); +transmat0{1} = [0.9 0.1; 0.1 0.9]; % long runs of 1s and 2s +transmat0{2} = [0.1 0.9; 0.9 0.1]; % short runs +obsmat0 = eye(2); + +%prior0 = normalise(rand(S,1)); +%transmat0 = mk_stochastic(rand(S,S)); +%obsmat0 = mk_stochastic(rand(S,O)); + +T = 10; +act = [1*ones(1,25) 2*ones(1,25) 1*ones(1,25) 2*ones(1,25)]; +data = pomdp_sample(prior0, transmat0, obsmat0, act); +%data = sample_dhmm(prior0, transmat0, obsmat0, T, 1); + +% Initial guess of params +rand('state', 2); % different seed! +transmat1 = cell(1,A); +for a=1:A + transmat1{a} = mk_stochastic(rand(S,S)); +end +obsmat1 = mk_stochastic(rand(S,O)); +prior1 = prior0; % so it labels states the same way + +% Uniformative Dirichlet prior (expected sufficient statistics / pseudo counts) +e = 0.001; +ess_trans = cell(1,A); +for a=1:A + ess_trans{a} = repmat(e, S, S); +end +ess_emit = repmat(e, S, O); + +% Params +w = 2; +decay_sched = [0.1:0.1:0.9]; + +% Initialize +LL1 = zeros(1,T); +t = 1; +y = data(t); +data_win = y; +act_win = [1]; % arbitrary initial value +[prior1, LL1(1)] = normalise(prior1 .* obsmat1(:,y)); + +% Iterate +for t=2:T + y = data(t); + a = act(t); + if t <= w + data_win = [data_win y]; + act_win = [act_win a]; + else + data_win = [data_win(2:end) y]; + act_win = [act_win(2:end) a]; + prior1 = gamma(:, 2); + end + d = decay_sched(min(t, length(decay_sched))); + [transmat1, obsmat1, ess_trans, ess_emit, gamma, ll] = dhmm_em_online(... + prior1, transmat1, obsmat1, ess_trans, ess_emit, d, data_win, act_win); + bel = gamma(:, end); + LL1(t) = ll/length(data_win); + %fprintf('t=%d, ll=%f\n', t, ll); +end + +LL1(1) = LL1(2); % since initial likelihood is for 1 slice +plot(1:T, LL1, 'rx-'); + + +% compare with offline learning + +if 0 +rand('state', 2); % same seed as online learner +transmat2 = cell(1,A); +for a=1:A + transmat2{a} = mk_stochastic(rand(S,S)); +end +obsmat2 = mk_stochastic(rand(S,O)); +prior2 = prior0; +[LL2, prior2, transmat2, obsmat2] = dhmm_em(data, prior2, transmat2, obsmat2, .... + 'max_iter', 10, 'thresh', 1e-3, 'verbose', 1, 'act', act); + +LL2 = LL2 / T + +end diff --git a/sourcecodes/bnt-master/HMM/dhmm_logprob.m b/sourcecodes/bnt-master/HMM/dhmm_logprob.m new file mode 100644 index 00000000..f8afe835 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_logprob.m @@ -0,0 +1,22 @@ +function [loglik, errors] = dhmm_logprob(data, prior, transmat, obsmat) +% LOG_LIK_DHMM Compute the log-likelihood of a dataset using a discrete HMM +% [loglik, errors] = log_lik_dhmm(data, prior, transmat, obsmat) +% +% data{m} or data(m,:) is the m'th sequence +% errors is a list of the cases which received a loglik of -infinity + +if ~iscell(data) + data = num2cell(data, 2); +end +ncases = length(data); + +loglik = 0; +errors = []; +for m=1:ncases + obslik = multinomial_prob(data{m}, obsmat); + [alpha, beta, gamma, ll] = fwdback(prior, transmat, obslik, 'fwd_only', 1); + if ll==-inf + errors = [errors m]; + end + loglik = loglik + ll; +end diff --git a/sourcecodes/bnt-master/HMM/dhmm_logprob_brute_force.m b/sourcecodes/bnt-master/HMM/dhmm_logprob_brute_force.m new file mode 100644 index 00000000..abffd0c9 --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_logprob_brute_force.m @@ -0,0 +1,21 @@ +function logp = enumerate_HMM_loglik(prior, transmat, obsmat) +% ENUMERATE_HMM_LOGLIK Compute the log likelihood of a sequence by exhaustive (O(Q^T)) enumeration. +% logp = enumerate_HMM_loglik(prior, transmat, obsmat) +% +% Inputs: +% prior(i) = Pr(Q(1) = i) +% transmat(i,j) = Pr(Q(t+1)=j | Q(t)=i) +% obsmat(i,t) = Pr(y(t) | Q(t)=i) + +Q = length(prior); +T = size(obsmat, 2); +sizes = repmat(Q, 1, T); + +psum = 0; +for i=1:Q^T + qs = ind2subv(sizes, i); % make the state sequence + psum = psum + prob_path(prior, transmat, obsmat, qs); +end +logp = log(psum) + + diff --git a/sourcecodes/bnt-master/HMM/dhmm_logprob_path.m b/sourcecodes/bnt-master/HMM/dhmm_logprob_path.m new file mode 100644 index 00000000..11a1e3af --- /dev/null +++ b/sourcecodes/bnt-master/HMM/dhmm_logprob_path.m @@ -0,0 +1,15 @@ +function [ll, p] = prob_path(prior, transmat, obsmat, qs) +% PROB_PATH Compute the prob. of a specific path (state sequence) through an HMM. +% [ll, p] = prob_path(prior, transmat, obsmat, states) +% +% ll = log prob path +% p(t) = Pr(O(t)) * Pr(Q(t) -> Q(t+1)) for 1<=t

% ASORT
% a pedestrian NUMERICAL SORTER of ALPHANUMERIC data
 
% - create some data
          d = {
%         strings with one valid alphanumeric number
%         sorted numerically
                  '-inf'
                  'x-3.2e4y'
                  'f-1.4'
                  '-.1'
                  '+ .1d-2'
                  '.1'
                  'f.1'
                  'f -+1.4'
                  'f.2'
                  'f.3'
                  'f.10'
                  'f.11'
                  '+inf'
                  ' -nan'
                  '+ nan'
                  'nan'
%         strings with many numbers or invalid/ambiguous numbers
%         sorted in ascii dictionary order
                  ' nan nan'
                  '+ .1e-.2'
                  '-1 2'
                  'Z12e12ez'
                  'inf -inf'
                  's.3TT.4'
                  'z12e12ez'
%         strings without numbers
%         sorted in ascii dictionary order
                  ' . .. '
                  '.'
                  '...'
                  '.b a.'
                  'a string'
                  'a. .b'
          };
%   ... and scramble it...
          rand('seed',10);
          d=d(randperm(numel(d)));
 
% - run ASORT with
%   verbose output:              <-v>
%   keep additional results:     <-d>
          o=asort(d,'-v','-d');
% - or
%         p=asort(char(d),'-v','-d');
 
    'INPUT'       'ASCII SORT'    'NUM SORT'             'NUM READ'         
    '...'         ' -nan'         '--- NUMERICAL'        '--- NUMBERS'      
    '+ .1e-.2'    ' . .. '        '-inf'                 [             -Inf]
    '.1'          ' nan nan'      'x-3.2e4y'             [           -32000]
    '.b a.'       '+ .1d-2'       'f-1.4'                [             -1.4]
    '-inf'        '+ .1e-.2'      '-.1'                  [             -0.1]
    'f.1'         '+ nan'         '+ .1d-2'              [            0.001]
    ' -nan'       '+inf'          '.1'                   [              0.1]
    '-1 2'        '-.1'           'f.1'                  [                1]
    'nan'         '-1 2'          'f -+1.4'              [              1.4]
    'a string'    '-inf'          'f.2'                  [                2]
    'f.3'         '.'             'f.3'                  [                3]
    '+ .1d-2'     '...'           'f.10'                 [               10]
    'a. .b'       '.1'            'f.11'                 [               11]
    's.3TT.4'     '.b a.'         '+inf'                 [              Inf]
    '+inf'        'Z12e12ez'      ' -nan'                [              NaN]
    ' nan nan'    'a string'      '+ nan'                [              NaN]
    'f-1.4'       'a. .b'         'nan'                  [              NaN]
    'x-3.2e4y'    'f -+1.4'       '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    'inf -inf'    'f-1.4'         ' nan nan'             ' nan nan'         
    '+ nan'       'f.1'           '+ .1e-.2'             '+ .1e-.2'         
    'f.2'         'f.10'          '-1 2'                 '-1 2'             
    'f.11'        'f.11'          'Z12e12ez'             'Z12e12ez'         
    'Z12e12ez'    'f.2'           'inf -inf'             'inf -inf'         
    'z12e12ez'    'f.3'           's.3TT.4'              's.3TT.4'          
    'f -+1.4'     'inf -inf'      'z12e12ez'             'z12e12ez'         
    ' . .. '      'nan'           '--- ASCII STRINGS'    '--- ASCII STRINGS'
    'f.10'        's.3TT.4'       ' . .. '               ' . .. '           
    '.'           'x-3.2e4y'      '.'                    '.'                
    '-.1'         'z12e12ez'      '...'                  '...'              
    ' '           ' '             '.b a.'                '.b a.'            
    ' '           ' '             'a string'             'a string'         
    ' '           ' '             'a. .b'                'a. .b'            
 
% - show results
          o
o = 
          magic: 'ASORT'
            ver: '30-Mar-2005 11:57:07'
           time: '30-Mar-2005 11:57:17'
        runtime: 0.047
    input_class: 'cell'
    input_msize: [29 1]
    input_bytes: 2038
    strng_class: 'char'
    strng_msize: [29 8]
    strng_bytes: 464
            anr: {16x1 cell}
            snr: {7x1 cell}
            str: {6x1 cell}
              c: [29x12 char]
              t: [29x12 logical]
              n: [16x12 char]
              d: [16x1 double]
 
          o.anr
ans = 
    '-inf'
    'x-3.2e4y'
    'f-1.4'
    '-.1'
    '+ .1d-2'
    '.1'
    'f.1'
    'f -+1.4'
    'f.2'
    'f.3'
    'f.10'
    'f.11'
    '+inf'
    ' -nan'
    '+ nan'
    'nan'
 
% - run ASORT with no-space/template options
%   NOTE the impact of -w/-t order!
          s={'ff - 1','ff + 1','- 12'};
 
%   RAW
          o=asort(s,'-v');
 
    'INPUT'     'ASCII SORT'    'NUM SORT'             'NUM READ'         
    'ff - 1'    '- 12'          '--- NUMERICAL'        '--- NUMBERS'      
    'ff + 1'    'ff + 1'        'ff + 1'               [                1]
    '- 12'      'ff - 1'        'ff - 1'               [                1]
    ' '         ' '             '- 12'                 [               12]
    ' '         ' '             '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    ' '         ' '             '--- ASCII STRINGS'    '--- ASCII STRINGS'
 
%   remove SPACEs
          o=asort(s,'-v','-w');
 
    'INPUT'    'ASCII SORT'    'NUM SORT'             'NUM READ'         
    'ff-1'     '-12'           '--- NUMERICAL'        '--- NUMBERS'      
    'ff+1'     'ff+1'          '-12'                  [              -12]
    '-12'      'ff-1'          'ff-1'                 [               -1]
    ' '        ' '             'ff+1'                 [                1]
    ' '        ' '             '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    ' '        ' '             '--- ASCII STRINGS'    '--- ASCII STRINGS'
 
%   remove TEMPLATE(s)
          o=asort(s,'-v','-t',{'ff','1'});
 
    'INPUT'    'ASCII SORT'    'NUM SORT'             'NUM READ'         
    ' - '      ' + '           '--- NUMERICAL'        '--- NUMBERS'      
    ' + '      ' - '           '- 2'                  [                2]
    '- 2'      '- 2'           '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    ' '        ' '             '--- ASCII STRINGS'    '--- ASCII STRINGS'
    ' '        ' '             ' + '                  ' + '              
    ' '        ' '             ' - '                  ' - '              
 
%   remove TEMPLATE(s) than SPACEs
          o=asort(s,'-v','-t','1','-w');
 
    'INPUT'    'ASCII SORT'    'NUM SORT'             'NUM READ'         
    'ff-'      '-2'            '--- NUMERICAL'        '--- NUMBERS'      
    'ff+'      'ff+'           '-2'                   [               -2]
    '-2'       'ff-'           '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    ' '        ' '             '--- ASCII STRINGS'    '--- ASCII STRINGS'
    ' '        ' '             'ff+'                  'ff+'              
    ' '        ' '             'ff-'                  'ff-'              
 
%   remove SPACEs than TEMPLATE(s)
          o=asort(s,'-v','-w','-t','1');
 
    'INPUT'    'ASCII SORT'    'NUM SORT'             'NUM READ'         
    'ff- '     '- 2'           '--- NUMERICAL'        '--- NUMBERS'      
    'ff+ '     'ff+ '          '- 2'                  [                2]
    '- 2'      'ff- '          '--- ASCII NUMBERS'    '--- ASCII NUMBERS'
    ' '        ' '             '--- ASCII STRINGS'    '--- ASCII STRINGS'
    ' '        ' '             'ff+ '                 'ff+ '             
    ' '        ' '             'ff- '                 'ff- '             
 
+ + + +
+ + + + + diff --git a/sourcecodes/bnt-master/KPMtools/asdemo.m b/sourcecodes/bnt-master/KPMtools/asdemo.m new file mode 100644 index 00000000..6de98ad9 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/asdemo.m @@ -0,0 +1,70 @@ +% ASORT +% a pedestrian NUMERICAL SORTER of ALPHANUMERIC data + +% - create some data + d = { +% strings with one valid alphanumeric number +% sorted numerically + '-inf' + 'x-3.2e4y' + 'f-1.4' + '-.1' + '+ .1d-2' + '.1' + 'f.1' + 'f -+1.4' + 'f.2' + 'f.3' + 'f.10' + 'f.11' + '+inf' + ' -nan' + '+ nan' + 'nan' +% strings with many numbers or invalid/ambiguous numbers +% sorted in ascii dictionary order + ' nan nan' + '+ .1e-.2' + '-1 2' + 'Z12e12ez' + 'inf -inf' + 's.3TT.4' + 'z12e12ez' +% strings without numbers +% sorted in ascii dictionary order + ' . .. ' + '.' + '...' + '.b a.' + 'a string' + 'a. .b' + }; +% ... and scramble it... + rand('seed',10); + d=d(randperm(numel(d))); + +% - run ASORT with +% verbose output: <-v> +% keep additional results: <-d> + o=asort(d,'-v','-d'); +% - or +% p=asort(char(d),'-v','-d'); + +% - show results + o + o.anr + +% - run ASORT with no-space/template options +% NOTE the impact of -w/-t order! + s={'ff - 1','ff + 1','- 12'}; +% RAW + o=asort(s,'-v'); +% remove SPACEs + o=asort(s,'-v','-w'); +% remove TEMPLATE(s) + o=asort(s,'-v','-t',{'ff','1'}); +% remove TEMPLATE(s) than SPACEs + o=asort(s,'-v','-t','1','-w'); +% remove SPACEs than TEMPLATE(s) + o=asort(s,'-v','-w','-t','1'); + diff --git a/sourcecodes/bnt-master/KPMtools/asort.m b/sourcecodes/bnt-master/KPMtools/asort.m new file mode 100644 index 00000000..df6be4b3 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/asort.m @@ -0,0 +1,376 @@ +%[ANR,SNR,STR] = ASORT(INP,'OPT',...); +% S = ASORT(INP,'OPT',...); +% to sort alphanumeric strings numerically if +% they contain one properly formatted number +% otherwise, ascii dictionary sorting is applied +% +% INP unsorted input: +% - a char array +% - a cell array of strings +% OPT options +% -s - sorting option +% '-s','ascend' [def] +% '-s','descend' +% -st - force output form S [def: nargout dependent] +% -t - replace matching template(s) with one space +% prior to sorting +% '-t','template' +% '-t',{'template1','template2',...} +% -w - remove space(s) prior to sorting +% +% NOTE -t/-w options are processed in the +% order that they appear in +% the command line +% +% -v - verbose output [def: quiet] +% -d - debug mode +% save additional output in S +% .c: lex parser input +% .t: lex parser table +% .n: lex parser output +% .d: numbers read from .n +% +% ANR numerically sorted alphanumeric strings [eg, 'f.-1.5e+2x.x'] +% - contain one number that can be read by +% | +% SNR ascii dict sorted alphanumeric strings +% http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=7212# +% +% - contain more than one number [eg, 'f.-1.5e +2.x'] +% - contain incomplete|ambiguous numbers [eg, 'f.-1.5e+2.x'] +% STR ascii dict sorted strings +% - contain no numbers [eg, 'a test'] +% +% S structure with fields +% .anr +% .srn +% .str + +% created: +% us 03-Mar-2002 +% modified: +% us 30-Mar-2005 11:57:07 / TMW R14.sp2 + +%-------------------------------------------------------------------------------- +function varargout=asort(inp,varargin) + +varargout(1:nargout)={[]}; +if ~nargin + help(mfilename); + return; +end + +% - common parameters/options +n=[]; +ds=[]; +anr={}; +snr={}; +str={}; +smod='ascend'; % sorting option +tmpl={}; % template(s) +sflg=false; % output mode: structure +tflg=false; % remove template(s) +dflg=false; % debug mode +vflg=false; % verbose output +wflg=false; % remove spaces + +if nargin > 1 + ix=find(strcmp('-s',varargin)); + if ~isempty(ix) && nargin > ix(end)+1 + smod=varargin{ix(end)+1}; + end + ix=find(strcmp('-t',varargin)); + if ~isempty(ix) && nargin > ix(end)+1 + tflg=ix(end); + tmpl=varargin{ix(end)+1}; + end + if find(strcmp('-d',varargin)); + dflg=true; + end + if find(strcmp('-st',varargin)); + sflg=true; + end + if find(strcmp('-v',varargin)); + vflg=true; + end + ix=find(strcmp('-w',varargin)); + if ~isempty(ix) + wflg=ix(end); + end +end +% spec numbers +ntmpl={ + ' inf ' + '+inf ' + '-inf ' + ' nan ' + '+nan ' + '-nan ' + }; +% spec chars +ctmpl={ + '.' % decimal point + 'd' % exponent + 'e' % exponent + }; + +if nargout <= 3 + varargout{1}=inp; +else + disp(sprintf('ASORT> too many output args [%-1d/%-1d]\n',nargout,3)); + help(mfilename); + return; +end +if isempty(inp) + disp(sprintf('ASORT> input is empty')); + return; +end + +ti=clock; +winp=whos('inp'); +switch winp.class + case 'cell' + if ~iscellstr(inp) + disp(sprintf('ASORT> cell is not an array of strings')); + return; + end + inp=inp(:); + [ins,inx]=sort(inp); + case 'char' + % [ins,inx]=sortrows(inp); + inp=cstr(inp); + otherwise + disp(sprintf('ASORT> does not sort input of class <%s>',winp.class)); + return; +end + +inp=inp(:); +inp=setinp(inp,tmpl,[tflg wflg]); +[ins,inx]=sort(inp); +if strcmp(smod,'descend') + ins=ins(end:-1:1,:); + inx=inx(end:-1:1); +end +ins=inp(inx); +c=lower(char(ins)); +wins=whos('c'); +[cr,cc]=size(c); + +% - LEXICAL PARSER +%-------------------------------------------------------------------------------- +% - extend input on either side for search +c=[' '*ones(cr,2) c ' '*ones(cr,2)]; + +% - search for valid alphanumeric items in strings +% numbers/signs +t=(c>='0'&c<='9'); +t=t|c=='-'; +t=t|c=='+'; +[tr,tc]=size(t); +% decimal points +% note: valid numbers with dec points must follow these templates +% nr.nr +% sign.nr +% nr. +% .nr +ix1= t(:,1:end-2) & ... + ~isletter(c(:,1:end-2)) & ... + c(:,2:end-1)=='.'; +t(:,2:end-1)=t(:,2:end-1)|ix1; +ix1= (t(:,3:end) & ... + (~isletter(c(:,3:end)) & ... + ~isletter(c(:,1:end-2))) | ... + (c(:,3:end)=='e' | ... + c(:,3:end)=='d')) & ... + c(:,2:end-1)=='.'; +t(:,2:end-1)=t(:,2:end-1)|ix1; +% t(:,3:end)=t(:,3:end)|ix1; +% signs +t(c=='-')=false; +t(c=='+')=false; +ix1= t(:,3:end) & ... + (c(:,2:end-1)=='-' | ... + c(:,2:end-1)=='+'); +t(:,2:end-1)=t(:,2:end-1)|ix1; +% exponents +ix1= t(:,1:end-2) & ... + (c(:,2:end-1)=='e' | ... + c(:,2:end-1)=='d'); +t(:,2:end-1)=t(:,2:end-1)|ix1; +% spec numbers +c=reshape(c.',1,[]); +t=t'; +ic=[]; +for j=1:numel(ntmpl) + ic=[ic,strfind(c,ntmpl{j})]; +end +ic=sort(ic); +for i=1:numel(ic) + ix=ic(i)+0:ic(i)+4; + t(ix)=true; +end +t=t'; +c=reshape(c.',[tc,tr]).'; +t(c==' ')=false; +%-------------------------------------------------------------------------------- + +% - only allow one number per string +il=~any(t,2); +ib=strfind(reshape(t.',1,[]),[0 1]); +if ~isempty(ib) + ixe=cell(3,1); + n=reshape(char(t.*c).',1,[]); + for i=1:numel(ctmpl) + id=strfind(n,ctmpl{i}); + if ~isempty(id) + [dum,dum,ixu{i},ixe{i}]=dupinx(id,tc); + end + end + in=false(tr,1); + im=in; + % must check for anomalous cases like <'.d'> + id=sort(... + [find(n>='0' & n<='9'),... + strfind(n,'inf'),... + strfind(n,'nan')]); + % [ibu,ibd,ixbu,ixe{i+1}]=dupinx(id,tc); + [ibu,ibd,ixbu,ixbd]=dupinx(id,tc); + in(ixbu)=true; + in(ixbd)=true; + [ibu,ibd,ixbu,ixbd]=dupinx(ib,tc); + im(ixbu)=true; + in=in&im; + in([ixe{:}])=false; + il=~any(t,2); + ia=~(in|il); + + % - read valid strings + n=t(in,:).*c(in,:); + n(n==0)=' '; + n=char(n); + dn=strread(n.','%n'); + if numel(dn) ~= numel(find(in)) + %disp(sprintf('ASORT> unexpected fatal error reading input!')); + if nargout + s.c=c; + s.t=t; + s.n=n; + s.d=dn; + varargout{1}=s; + end + return; + end + + % - sort numbers + [ds,dx]=sort(dn,1,smod); + in=find(in); + anr=ins(in(dx)); + snr=ins(ia); +end +str=ins(il); +to=clock; + +% - prepare output +if nargout < 3 || sflg + s.magic='ASORT'; + s.ver='30-Mar-2005 11:57:07'; + s.time=datestr(clock); + s.runtime=etime(to,ti); + s.input_class=winp.class; + s.input_msize=winp.size; + s.input_bytes=winp.bytes; + s.strng_class=wins.class; + s.strng_msize=wins.size; + s.strng_bytes=wins.bytes; + s.anr=anr; + s.snr=snr; + s.str=str; + if dflg + s.c=c; + s.t=t; + s.n=n; + s.d=ds; + end + varargout{1}=s; +else + s={anr,snr,str}; + for i=1:nargout + varargout{i}=s{i}; + end +end + +if vflg + inp=cstr(inp); + an=[{'--- NUMERICAL'}; anr]; + as=[{'--- ASCII NUMBERS'}; snr]; + at=[{'--- ASCII STRINGS'}; str]; + nn=[{'--- NUMBERS'}; num2cell(ds)]; + ag={' ';' ';' '}; + u=[{'INPUT'}; inp;ag]; + v=[{'ASCII SORT'}; ins;ag]; + w=[{'NUM SORT'}; an;as;at]; + x=[{'NUM READ'}; nn;as;at]; + w=[u,v,w,x]; + disp(w); +end + +return; +%-------------------------------------------------------------------------------- +function c=cstr(s) +% - bottleneck waiting for a good replacement +% it consumes ~75% of 's processing time! + +c=s; +if ischar(s) + sr=size(s,1); + c=cell(sr,1); + for i=1:sr + c{i}=s(i,:); % no deblanking! + end +end +return; +%-------------------------------------------------------------------------------- +function [idu,idd,ixu,ixd]=dupinx(ix,nc) +% - check for more than one entry/row in a matrix of column size +% unique indices: idu / ixu +% duplicate indices: idd / ixd + +if isempty(ix) + idu=[]; + idd=[]; + ixu=[]; + ixd=[]; + return; +end +id=fix(ix/nc)+1; +idi=diff(id)~=0; +ide=[true idi]; +idb=[idi true]; +idu=idb & ide; +idd=idb==1 & ide==0; +ixu=id(idu); +ixd=id(idd); +return; +%-------------------------------------------------------------------------------- +function inp=setinp(inp,tmpl,flg) +% - remove space(s) and/or templates + +if isempty(inp) || ~any(flg) + return; +end + +for i=sort(flg) + switch i + case flg(1) + if ischar(tmpl) + tmpl={tmpl}; + end + for i=1:numel(tmpl) + inp=strrep(inp,tmpl{i},' '); + end + case flg(2) + inp=strrep(inp,' ',''); + end +end +return; +%-------------------------------------------------------------------------------- diff --git a/sourcecodes/bnt-master/KPMtools/assertBNT.m b/sourcecodes/bnt-master/KPMtools/assertBNT.m new file mode 100644 index 00000000..2d0cf960 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/assertBNT.m @@ -0,0 +1,10 @@ +function assertBNT(pred, str) +% ASSERT Raise an error if the predicate is not true. +% assert(pred, string) + +if nargin<2, str = ''; end + +if ~pred + s = sprintf('assertion violated: %s', str); + error(s); +end diff --git a/sourcecodes/bnt-master/KPMtools/assignEdgeNums.m b/sourcecodes/bnt-master/KPMtools/assignEdgeNums.m new file mode 100644 index 00000000..5d9a2a0d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/assignEdgeNums.m @@ -0,0 +1,32 @@ +function [edge_id, nedges] = assignEdgeNums(adj_mat) +% give each edge a unique number +% we number (i,j) for j>i first, in row, column order. +% Then we number the reverse links + +nnodes = length(adj_mat); +edge_id = zeros(nnodes); +e = 1; +for i=1:nnodes + for j=i+1:nnodes + if adj_mat(i,j) + edge_id(i,j) = e; + e = e+1; + end + end +end + +nedges = e-1; +tmp = edge_id; +ndx = find(tmp); +tmp(ndx) = tmp(ndx)+nedges; +edge_id = edge_id + triu(tmp)'; + + +if 0 +ndx = find(adj_mat); +nedges = length(ndx); +nnodes = length(adj_mat); +edge_id = zeros(1, nnodes*nnodes); +edge_id(ndx) = 1:nedges; +edge_id = reshape(edge_id, nnodes, nnodes); +end diff --git a/sourcecodes/bnt-master/KPMtools/assign_cols.m b/sourcecodes/bnt-master/KPMtools/assign_cols.m new file mode 100644 index 00000000..84cc9199 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/assign_cols.m @@ -0,0 +1,36 @@ +function M = assign_cols(cols, vals, M) +% ASSIGN_COLS Assign values to columns of a matrix +% function M = assign_cols(M, cols, vals, M) +% +% Example: +% M = assign_cols(data, ones(1,N)) +% will construct a 1-of-K encoding of the data, where K=ncols=max(data) and N=nrows=length(data) +% +% Example: +% M = zeros(3,2); +% M = assign_cols([1 2 1], [10 20 30], M) +% is equivalent to +% M(1, 1) = 10 +% M(2, 2) = 20 +% M(3, 1) = 30 +% + +if nargin < 3 + nr = length(cols); + nc = max(cols); + M = zeros(nr, nc); +else + [nr nc] = size(M); +end + +if 0 +for r=1:nr + M(r, cols(r)) = vals(r); +end +end + +if 1 +rows = 1:nr; +ndx = subv2ind([nr nc], [rows(:) cols(:)]); +M(ndx) = vals; +end diff --git a/sourcecodes/bnt-master/KPMtools/axis_pct.m b/sourcecodes/bnt-master/KPMtools/axis_pct.m new file mode 100644 index 00000000..208481eb --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/axis_pct.m @@ -0,0 +1,70 @@ +function ax = axis_pct(pct) +% AXIS_PCT Set reasonable axis limits. +% AXIS_PCT(pct) sets axis limits to extend pct% beyond limits of plotted +% objects. Default is 5%. +% Works for linear or log scale. +% Unfortunately, the axes won't change when new points are plotted. + +if nargin < 1 + pct = 0.05; +end +ax = [Inf -Inf Inf -Inf Inf -Inf]; + +% find bounding box of plotted objects +children = get(gca,'children'); +for child = children' + if strcmp(get(child,'type'),'text') + xyz = get(child,'position'); + % need to determine bounding box of the text + c([1 2]) = xyz(1); + c([3 4]) = xyz(2); + c([5 6]) = xyz(3); + else + x = get(child,'xdata'); + c(1) = min(x); + c(2) = max(x); + y = get(child,'ydata'); + c(3) = min(y); + c(4) = max(y); + z = get(child,'zdata'); + if isempty(z) + c([5 6]) = 0; + else + c(5) = min(z); + c(6) = max(z); + end + end + ax([1 3 5]) = min(ax([1 3 5]), c([1 3 5])); + ax([2 4 6]) = max(ax([2 4 6]), c([2 4 6])); +end +if strcmp(get(gca,'xscale'), 'log') + ax([1 2]) = log(ax([1 2])); +end +if strcmp(get(gca,'yscale'), 'log') + ax([3 4]) = log(ax([3 4])); +end +dx = ax(2)-ax(1); +if dx == 0 + dx = 1; +end +dy = ax(4)-ax(3); +if dy == 0 + dy = 1; +end +dz = ax(6)-ax(5); +if dz == 0 + dz = 1; +end +ax = ax + [-dx dx -dy dy -dz dz]*pct; +if strcmp(get(gca,'xscale'), 'log') + ax([1 2]) = exp(ax([1 2])); +end +if strcmp(get(gca,'yscale'), 'log') + ax([3 4]) = exp(ax([3 4])); +end +% clip for 2D +ax = ax(1:length(axis)); +axis(ax); +if nargout < 1 + clear ax +end diff --git a/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemo.m b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemo.m new file mode 100644 index 00000000..112547be --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemo.m @@ -0,0 +1,112 @@ +% Consider matching sources to detections + +% s1 d2 +% s2 d3 +% d1 + +%a = bipartiteMatchingHungarian([52;0.01]) + +% sources(:,i) = [x y] coords +sources = [0.1 0.7; 0.6 0.4]'; +detections = [0.2 0.2; 0.2 0.8; 0.7 0.1]'; +dst = sqdist(sources, detections); + +% a = [2 3] which means s1-d2, s2-d3 +a = bipartiteMatchingHungarian(dst); +a2 = bipartiteMatchingIntProg(dst); +assert(isequal(a(:),a2(:))) + + +figure(1); clf +bipartiteMatchingDemoPlot(sources, detections, a) + + + + +%%%% Flip roles of sources and detections + +%dst = dst'; +dst = sqdist(detections, sources); +% a = [0 1 2] which means d1-0, d2-s1, d3-s2 +a = bipartiteMatchingHungarian(dst); + +a2 = bipartiteMatchingIntProg(dst); +assert(isequal(a(:),a2(:))) + +figure(2); clf +bipartiteMatchingDemoPlot(detections, sources, a) % swapped args + + + + +%%%%%%%%%% Move s1 nearer to d1 +% d2 +% s2 d3 +% s1 d1 + +sources = [0.1 0.3; 0.6 0.4]'; +detections = [0.2 0.2; 0.2 0.8; 0.7 0.1]'; +dst = sqdist(sources, detections); + +% a = [2 3] which means s1-d2, s2-d3 +a = bipartiteMatchingHungarian(dst); +[a2, ass] = bipartiteMatchingIntProg(dst); +assert(isequal(a(:),a2(:))) + + +figure(3); clf +bipartiteMatchingDemoPlot(sources, detections, a) + + + +%%%%%%%%%% + +% Use random points + +% Generate 2D data from a mixture of 2 Gaussians (from netlab demgmm1) +randn('state', 0); rand('state', 0); +gmix = gmm(2, 2, 'spherical'); +ndat1 = 10; ndat2 = 10; ndata = ndat1+ndat2; +%gmix.centres = [0.3 0.3; 0.7 0.7]; +%gmix.covars = [0.01 0.01]; +gmix.centres = [0.5 0.5; 0.5 0.5]; +gmix.covars = [0.1 0.01]; +[x, label] = gmmsamp(gmix, ndata); + +ndx = find(label==1); +sources = x(ndx,:)'; +ndx = find(label==2); +detections = x(ndx,:)'; +dst = sqdist(sources, detections); + +[a, ass] = bipartiteMatchingIntProg(dst); +[a2] = bipartiteMatchingHungarian(dst); +assert(isequal(a(:), a2(:))) + +figure(4); clf +bipartiteMatchingDemoPlot(sources, detections, a) + +% only match 80% of points +p1 = size(sources, 2); +p2 = size(detections, 2); +nmatch = ceil(0.8*min(p1,p2)); +a2 = bipartiteMatchingIntProg(dst, nmatch); +figure(5); clf +bipartiteMatchingDemoPlot(sources, detections, a2) + + +%%% swap roles + +ndx = find(label==2); +sources = x(ndx,:)'; +ndx = find(label==1); +detections = x(ndx,:)'; +dst = sqdist(sources, detections); + +% only match 80% of points +p1 = size(sources, 2); +p2 = size(detections, 2); +nmatch = ceil(0.8*min(p1,p2)); +a2 = bipartiteMatchingIntProg(dst, nmatch); +figure(6); clf +bipartiteMatchingDemoPlot(sources, detections, a2) diff --git a/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemoPlot.m b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemoPlot.m new file mode 100644 index 00000000..1c9388c1 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingDemoPlot.m @@ -0,0 +1,24 @@ +function bipartiteMatchingDemoPlot(sources, detections, a) + +hold on +p1 = size(sources,2); +p2 = size(detections,2); +for i=1:p1 + h=text(sources(1,i), sources(2,i), sprintf('s%d', i)); + set(h, 'color', 'r'); +end +for i=1:p2 + h=text(detections(1,i), detections(2,i), sprintf('d%d', i)); + set(h, 'color', 'b'); +end + +if nargin < 3, return; end + +for i=1:p1 + j = a(i); + if j==0 % i not matched to anything + continue + end + line([sources(1,i) detections(1,j)], [sources(2,i) detections(2,j)]) +end +axis_pct; diff --git a/sourcecodes/bnt-master/KPMtools/bipartiteMatchingHungarian.m b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingHungarian.m new file mode 100644 index 00000000..a794ba02 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingHungarian.m @@ -0,0 +1,90 @@ +% MATCH - Solves the weighted bipartite matching (or assignment) +% problem. +% +% Usage: a = match(C); +% +% Arguments: +% C - an m x n cost matrix; the sets are taken to be +% 1:m and 1:n; C(i, j) gives the cost of matching +% items i (of the first set) and j (of the second set) +% +% Returns: +% +% a - an m x 1 assignment vector, which gives the +% minimum cost assignment. a(i) is the index of +% the item of 1:n that was matched to item i of +% 1:m. If item i (of 1:m) was not matched to any +% item of 1:n, then a(i) is zero. + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [a] = optimalMatching(C) + +% Trivial cases: +[p, q] = size(C); +if (p == 0) + a = []; + return; +elseif (q == 0) + a = zeros(p, 1); + return; +end + + +if 0 +% First, reduce the problem by making easy optimal matches. If two +% elements agree that they are the best match, then match them up. +[x, a] = min(C, [], 2); +[y, b] = min(C, [], 1); +u = find(1:p ~= b(a(:))); +a(u) = 0; +v = find(1:q ~= a(b(:))'); +C = C(u, v); +if (isempty(C)) return; end +end + +% Get the (new) size of the two sets, u and v. +[m, n] = size(C); + +%mx = realmax; +mx = 2*max(C(:)); +mn = -2*min(C(:)); +% Pad the affinity matrix to be square +if (m < n) + C = [C; mx * ones(n - m, n)]; +elseif (n < m) + C = [C, mx * ones(m, m - n)]; +end + +% Run the Hungarian method. First replace infinite values by the +% largest (or smallest) finite values. +C(find(isinf(C) & (C > 0))) = mx; +C(find(isinf(C) & (C < 0))) = mn; +%fprintf('running hungarian\n'); +[b, cost] = hungarian(C'); + +% Extract only the real assignments +ap = b(1:m)'; +ap(find(ap > n)) = 0; + +a = ap; +%% Incorporate this sub-assignment into the complete assignment +% k = find(ap); +% a(u(k)) = v(ap(k)); + diff --git a/sourcecodes/bnt-master/KPMtools/bipartiteMatchingIntProg.m b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingIntProg.m new file mode 100644 index 00000000..26efaba8 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/bipartiteMatchingIntProg.m @@ -0,0 +1,69 @@ +function [a,ass] = bipartiteMatchingIntProg(dst, nmatches) +% BIPARTITEMATCHINGINTPROG Use binary integer programming (linear objective) to solve for optimal linear assignment +% function a = bipartiteMatchingIntProg(dst) +% a(i) = best matching column for row i +% +% This gives the same result as bipartiteMatchingHungarian. +% +% function a = bibpartiteMatchingIntProg(dst, nmatches) +% only matches the specified number (must be <= min(size(dst))). +% This can be used to allow outliers in both source and target. +% +% For details, see Marciel & Costeira, "A global solution to sparse correspondence +% problems", PAMI 25(2), 2003 + +if nargin < 2, nmatches = []; end + +[p1 p2] = size(dst); +p1orig = p1; p2orig = p2; +dstorig = dst; + +if isempty(nmatches) % no outliers allowed (modulo size difference) + % ensure matrix is square + m = max(dst(:)); + if p1p2 + dst = [dst m*ones(p1, p1-p2)]; + end +end +[p1 p2] = size(dst); + + +c = dst(:); % vectorize cost matrix + +% row-sum: ensure each column sums to 1 +A2 = kron(eye(p2), ones(1,p1)); +b2 = ones(p2,1); + +% col-sum: ensure each row sums to 1 +A3 = kron(ones(1,p2), eye(p1)); +b3 = ones(p1,1); + +if isempty(nmatches) + % enforce doubly stochastic + A = [A2; A3]; + b = [b2; b3]; + Aineq = zeros(1, p1*p2); + bineq = 0; +else + nmatches = min([nmatches, p1, p2]); + Aineq = [A2; A3]; + bineq = [b2; b3]; % row and col sums <= 1 + A = ones(1,p1*p2); + b = nmatches; % total num matches = b (otherwise get degenerate soln) +end + + +ass = bintprog(c, Aineq, bineq, A, b); +ass = reshape(ass, p1, p2); + +a = zeros(1, p1orig); +for i=1:p1orig + ndx = find(ass(i,:)==1); + if ~isempty(ndx) & (ndx <= p2orig) + a(i) = ndx; + end +end + + diff --git a/sourcecodes/bnt-master/KPMtools/block.m b/sourcecodes/bnt-master/KPMtools/block.m new file mode 100644 index 00000000..9a4728bc --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/block.m @@ -0,0 +1,15 @@ +function sub = block(blocks, block_sizes) +% BLOCK Return a vector of subscripts corresponding to the specified blocks. +% sub = block(blocks, block_sizes) +% +% e.g., block([2 5], [2 1 2 1 2]) = [3 7 8]. + +blocks = blocks(:)'; +block_sizes = block_sizes(:)'; +skip = [0 cumsum(block_sizes)]; +start = skip(blocks)+1; +fin = start + block_sizes(blocks) - 1; +sub = []; +for j=1:length(blocks) + sub = [sub start(j):fin(j)]; +end diff --git a/sourcecodes/bnt-master/KPMtools/cell2matPad.m b/sourcecodes/bnt-master/KPMtools/cell2matPad.m new file mode 100644 index 00000000..5b9e94a1 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/cell2matPad.m @@ -0,0 +1,22 @@ +function data2 = cell2matPad(data) +% data{f}(y,x,b) - each frame can have a different size (can can even be empty) +% data2(y,x,b,f) = zero padded version + +Nframes = length(data); +Nbands = -inf; +nr = -inf; nc = -inf; +for f=1:Nframes + if isempty(data{f}), continue; end + nr = max(nr, size(data{f},1)); + nc = max(nc, size(data{f},2)); + Nbands = max(Nbands, size(data{f},3)); +end +data2 = zeros(nr, nc, Nbands, Nframes); +for f=1:Nframes + if isempty(data{f}), continue; end + data2(1:size(data{f},1), 1:size(data{f},2), :, f) = data{f}; +end +if Nbands == 1 + data2 = squeeze(data2); % reshape(data2, [size(data2,1), size(data2,2), Nframes]); +end + diff --git a/sourcecodes/bnt-master/KPMtools/cell2num.m b/sourcecodes/bnt-master/KPMtools/cell2num.m new file mode 100644 index 00000000..ffd25ce9 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/cell2num.m @@ -0,0 +1,57 @@ +function N = cell2num(C) +% CELL2NUM Convert a 2D cell array to a 2D numeric array +% N = cell2num(C) +% If the cells contain column vectors, they must have the same number of rows in each row of C. +% Each column will be concatenated. +% +% Example 1: +% C = num2cell(rand(2,2)) +% [0.4565] [0.8214] +% [0.0185] [0.4447] +% N = cell2num(C) +% 0.4565 0.8214 +% 0.0185 0.4447 +% +% Example 2: +% C = cell(2, 3); +% for i=1:2 +% for j=1:3 +% C{i,j} = rand(i, 1); +% end +% end +% C = +% [ 0.8998] [ 0.8216] [ 0.6449] +% [2x1 double] [2x1 double] [2x1 double] +% C{2,1} = +% 0.8180 +% 0.6602 +% N=cell2num(C) +% 0.8998 0.8216 0.6449 +% 0.8180 0.3420 0.3412 +% 0.6602 0.2897 0.5341 + + +% error('use cell2mat in matlab 7') + + +if isempty(C) + N = []; + return; +end + +if any(cellfun('isempty', C)) %any(isemptycell(C)) + error('can''t convert cell array with empty cells to matrix') +end + +[nrows ncols] = size(C); +%N = reshape(cat(1, C{:}), [nrows ncols]); % this only works if C only contains scalars +r = 0; +for i=1:nrows + r = r + size(C{i,1}, 1); +end +c = 0; +for j=1:ncols + c = c + size(C{1,j}, 2); +end +N = reshape(cat(1, C{:}), [r c]); + diff --git a/sourcecodes/bnt-master/KPMtools/centeringMatrix.m b/sourcecodes/bnt-master/KPMtools/centeringMatrix.m new file mode 100644 index 00000000..92623a0d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/centeringMatrix.m @@ -0,0 +1,8 @@ +N = 3; +x = rand(N,2); % each row is a feature vector +m = mean(x,1); +xc = x-repmat(m, N, 1); + +C = eye(N) - (1/N)*ones(N,N); +xc2 = C*x; +assert(approxeq(xc, xc2)) diff --git a/sourcecodes/bnt-master/KPMtools/checkpsd.m b/sourcecodes/bnt-master/KPMtools/checkpsd.m new file mode 100644 index 00000000..cbd35203 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/checkpsd.m @@ -0,0 +1,15 @@ +function s = checkpsd(s) + +if (any(isnan(s) | isinf(s) | ~isreal(s))) + warning('S contains complex numbers, Inf, or NaN'); +end +% Drop any negative eigenvalues. +[V, D] = eig(full(s)); +d = real(diag(D)); +if (any(d < 0)) + warning(sprintf(['S is not positive semidefinite (min. eig. =' ... + ' %0.5g); projecting.'], min(d))); + d(find(d < 0)) = 0; + D = diag(d); + s = V * D * V'; +end diff --git a/sourcecodes/bnt-master/KPMtools/chi2inv.m b/sourcecodes/bnt-master/KPMtools/chi2inv.m new file mode 100644 index 00000000..90c60258 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/chi2inv.m @@ -0,0 +1,36 @@ +function x = chi2inv(p,v); +%CHI2INV Inverse of the chi-square cumulative distribution function (cdf). +% X = CHI2INV(P,V) returns the inverse of the chi-square cdf with V +% degrees of freedom at the values in P. The chi-square cdf with V +% degrees of freedom, is the gamma cdf with parameters V/2 and 2. +% +% The size of X is the common size of P and V. A scalar input +% functions as a constant matrix of the same size as the other input. + +% References: +% [1] M. Abramowitz and I. A. Stegun, "Handbook of Mathematical +% Functions", Government Printing Office, 1964, 26.4. +% [2] E. Kreyszig, "Introductory Mathematical Statistics", +% John Wiley, 1970, section 10.2 (page 144) + +% Copyright 1993-2002 The MathWorks, Inc. +% $Revision: 1.1.1.1 $ $Date: 2005/04/26 02:30:30 $ + +if nargin < 2, + error('Requires two input arguments.'); +end + +[errorcode p v] = distchck(2,p,v); + +if errorcode > 0 + error('Requires non-scalar arguments to match in size.'); +end + +% Call the gamma inverse function. +x = gaminv(p,v/2,2); + +% Return NaN if the degrees of freedom is not positive. +k = (v <= 0); +if any(k(:)) + x(k) = NaN; +end diff --git a/sourcecodes/bnt-master/KPMtools/choose.m b/sourcecodes/bnt-master/KPMtools/choose.m new file mode 100644 index 00000000..32540548 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/choose.m @@ -0,0 +1,5 @@ +function c = choose(n,k) +% CHOOSE The number of ways of choosing k things from n +% c = choose(n,k) + +c = factorial(n)/(factorial(k) * factorial(n-k)); diff --git a/sourcecodes/bnt-master/KPMtools/collapse_mog.m b/sourcecodes/bnt-master/KPMtools/collapse_mog.m new file mode 100644 index 00000000..2fe6436f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/collapse_mog.m @@ -0,0 +1,22 @@ +function [new_mu, new_Sigma, new_Sigma2] = collapse_mog(mu, Sigma, coefs) +% COLLAPSE_MOG Collapse a mixture of Gaussians to a single Gaussian by moment matching +% [new_mu, new_Sigma] = collapse_mog(mu, Sigma, coefs) +% +% coefs(i) - weight of i'th mixture component +% mu(:,i), Sigma(:,:,i) - params of i'th mixture component + +% S = sum_c w_c (S_c + m_c m_c' + m m' - 2 m_c m') +% = sum_c w_c (S_c + m_c m_c') + m m' - 2 (sum_c m_c) m' +% = sum_c w_c (S_c + m_c m_c') - m m' + +new_mu = sum(mu * diag(coefs), 2); % weighted sum of columns + +n = length(new_mu); +new_Sigma = zeros(n,n); +new_Sigma2 = zeros(n,n); +for j=1:length(coefs) + m = mu(:,j) - new_mu; + new_Sigma = new_Sigma + coefs(j) * (Sigma(:,:,j) + m*m'); + new_Sigma2 = new_Sigma2 + coefs(j) * (Sigma(:,:,j) + mu(:,j)*mu(:,j)'); +end +%assert(approxeq(new_Sigma, new_Sigma2 - new_mu*new_mu')) diff --git a/sourcecodes/bnt-master/KPMtools/colmult.c b/sourcecodes/bnt-master/KPMtools/colmult.c new file mode 100644 index 00000000..e9d5008c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/colmult.c @@ -0,0 +1,62 @@ +#include +#include "mex.h" + +/* +out = colop(M, v) + +Apply binary operator to a vector v and to each column of M in turn +to produce a matrix the same size as M. + +This is equivalent to + +out = zeros(size(M)); +for col=1:size(M,2) + out(:,col) = op(M(:,col), v); +end + +The code needs to be modified for each different operator 'op'. +eg op = '.*' + +In vectorized form: + +out = M .* repmat(v(:), 1, size(M,2)) + +(This function was formerly called repmat_and_mult.c) + +*/ + +/* M(i,j) = M(i + nrows*j) since Matlab uses Fortran layout. */ + + +#define INMAT(i,j) M[(i)+nrows*(j)] +#define OUTMAT(i,j) out[(i)+nrows*(j)] + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[] + ) +{ + double *out, *M, *v; + int nrows, ncols, r, c; + + /* read the input args */ + M = mxGetPr(prhs[0]); + nrows = mxGetM(prhs[0]); + ncols = mxGetN(prhs[0]); + + v = mxGetPr(prhs[1]); + + plhs[0] = mxCreateDoubleMatrix(nrows, ncols, mxREAL); + out = mxGetPr(plhs[0]); + + for (c=0; c < ncols; c++) { + for (r=0; r < nrows; r++) { + OUTMAT(r,c) = INMAT(r,c) * v[r]; + /* printf("r=%d, c=%d, M=%f, v=%f\n", r, c, INMAT(r,c), v[r]); */ + } + } + +} + + + diff --git a/sourcecodes/bnt-master/KPMtools/computeROC.m b/sourcecodes/bnt-master/KPMtools/computeROC.m new file mode 100644 index 00000000..3b35332c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/computeROC.m @@ -0,0 +1,64 @@ +function [FPrate, TPrate, AUC, thresholds] = computeROC(confidence, testClass) +% function [FPrate, TPrate, AUC, thresholds] = computeROC(confidence, testClass) +% +% computeROC computes the data for an ROC curve based on a classifier's confidence output. +% It returns the false positive rate and the true positive rate along with +% the area under the ROC curve, and the list of thresholds. +% +% Inputs: +% - confidence(i) is proportional to the probability that +% testClass(i) is positive +% +% testClass = 0 => target absent +% testClass = 1 => target present +% +% Based on algorithms 2 and 4 from Tom Fawcett's paper "ROC Graphs: Notes and +% Practical Considerations for Data Mining Researchers" (2003) +% http://www.hpl.hp.com/techreports/2003/HPL-2003-4.pdf" +% +% Vlad Magdin, 21 Feb 2005 + +% break ties in scores +S = rand('state'); +rand('state',0); +confidence = confidence + rand(size(confidence))*10^(-10); +rand('state',S) +[thresholds order] = sort(confidence, 'descend'); +testClass = testClass(order); + +%%% -- calculate TP/FP rates and totals -- %%% +AUC = 0; +faCnt = 0; +tpCnt = 0; +falseAlarms = zeros(1,size(thresholds,2)); +detections = zeros(1,size(thresholds,2)); +fPrev = -inf; +faPrev = 0; +tpPrev = 0; + +P = max(size(find(testClass==1))); +N = max(size(find(testClass==0))); + +for i=1:length(thresholds) + if thresholds(i) ~= fPrev + falseAlarms(i) = faCnt; + detections(i) = tpCnt; + + AUC = AUC + polyarea([faPrev faPrev faCnt/N faCnt/N],[0 tpPrev tpCnt/P 0]); + + fPrev = thresholds(i); + faPrev = faCnt/N; + tpPrev = tpCnt/P; + end + + if testClass(i) == 1 + tpCnt = tpCnt + 1; + else + faCnt = faCnt + 1; + end +end + +AUC = AUC + polyarea([faPrev faPrev 1 1],[0 tpPrev 1 0]); + +FPrate = falseAlarms/N; +TPrate = detections/P; diff --git a/sourcecodes/bnt-master/KPMtools/compute_counts.m b/sourcecodes/bnt-master/KPMtools/compute_counts.m new file mode 100644 index 00000000..d710bfcb --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/compute_counts.m @@ -0,0 +1,17 @@ +function count = compute_counts(data, sz) +% COMPUTE_COUNTS Count the number of times each combination of discrete assignments occurs +% count = compute_counts(data, sz) +% +% data(i,t) is the value of variable i in case t +% sz(i) : values for variable i are assumed to be in [1:sz(i)] +% +% Example: to compute a transition matrix for an HMM from a sequence of labeled states: +% transmat = mk_stochastic(compute_counts([seq(1:end-1); seq(2:end)], [nstates nstates])); + +assert(length(sz) == size(data, 1)); +P = prod(sz); +indices = subv2ind(sz, data'); % each row of data' is a case +%count = histc(indices, 1:P); +count = hist(indices, 1:P); +count = myreshape(count, sz); + diff --git a/sourcecodes/bnt-master/KPMtools/conf2mahal.m b/sourcecodes/bnt-master/KPMtools/conf2mahal.m new file mode 100644 index 00000000..8e96dd18 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/conf2mahal.m @@ -0,0 +1,62 @@ +% CONF2MAHAL - Translates a confidence interval to a Mahalanobis +% distance. Consider a multivariate Gaussian +% distribution of the form +% +% p(x) = 1/sqrt((2 * pi)^d * det(C)) * exp((-1/2) * MD(x, m, inv(C))) +% +% where MD(x, m, P) is the Mahalanobis distance from x +% to m under P: +% +% MD(x, m, P) = (x - m) * P * (x - m)' +% +% A particular Mahalanobis distance k identifies an +% ellipsoid centered at the mean of the distribution. +% The confidence interval associated with this ellipsoid +% is the probability mass enclosed by it. Similarly, +% a particular confidence interval uniquely determines +% an ellipsoid with a fixed Mahalanobis distance. +% +% If X is an d dimensional Gaussian-distributed vector, +% then the Mahalanobis distance of X is distributed +% according to the Chi-squared distribution with d +% degrees of freedom. Thus, the Mahalanobis distance is +% determined by evaluating the inverse cumulative +% distribution function of the chi squared distribution +% up to the confidence value. +% +% Usage: +% +% m = conf2mahal(c, d); +% +% Inputs: +% +% c - the confidence interval +% d - the number of dimensions of the Gaussian distribution +% +% Outputs: +% +% m - the Mahalanobis radius of the ellipsoid enclosing the +% fraction c of the distribution's probability mass +% +% See also: MAHAL2CONF + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function m = conf2mahal(c, d) + +m = chi2inv(c, d); \ No newline at end of file diff --git a/sourcecodes/bnt-master/KPMtools/cross_entropy.m b/sourcecodes/bnt-master/KPMtools/cross_entropy.m new file mode 100644 index 00000000..1a7d2003 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/cross_entropy.m @@ -0,0 +1,15 @@ +function kl = cross_entropy(p, q, symmetric) +% CROSS_ENTROPY Compute the Kullback-Leibler divergence between two discrete prob. distributions +% kl = cross_entropy(p, q, symmetric) +% +% If symmetric = 1, we compute the symmetric version. Default: symmetric = 0; + +tiny = exp(-700); +if nargin < 3, symmetric = 0; end +p = p(:); +q = q(:); +if symmetric + kl = (sum(p .* log((p+tiny)./(q+tiny))) + sum(q .* log((q+tiny)./(p+tiny))))/2; +else + kl = sum(p .* log((p+tiny)./(q+tiny))); +end diff --git a/sourcecodes/bnt-master/KPMtools/dirKPM.m b/sourcecodes/bnt-master/KPMtools/dirKPM.m new file mode 100644 index 00000000..39157137 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/dirKPM.m @@ -0,0 +1,98 @@ +function filenames = dirKPM(dirname, ext, varargin) +% dirKPM Like the built-in dir command, but returns filenames as a cell array instead of a struct +% +% filenames = dirKPM(dirname) +% returns all files, except '.' and '..' +% +% filenames = dirKPM('images', '*.jpg') +% returns files with this extension +% eg filenames{1} = 'foo.jpg' etc +% +% OPTIONAL ARGUMENTS [default in brackets] +% filenames = dirKPM('images', '', param1, val1, param2, val2, ...) +% +% 'fileType'='image' ['all'] means return files with extension .jpg, .png, .bmp +% +% 'prepend'=1 [0] means preprend folder name to filename +% eg filenames{1} = 'images/foo.jpg' +% +% 'doSort'=1 [1] means sort filenames in ascending alphanumerical order (where possible) +% +% 'doRecurse'=1 [0] recursive dir, apply the same dirKPM call on all +% subfolders (decrease MAXDEPTH option to prevent recursion from branching +% too explosively) + +if nargin < 1, dirname = '.'; end + +if nargin < 2, ext = ''; end + +[fileType, prepend, doSort, doRecurse, MAXDEPTH, DEPTH] = process_options(... + varargin, 'fileType', 'all', 'prepend', 0, 'doSort', 1, 'doRecurse', 0,... + 'MAXDEPTH', 3, 'DEPTH', 0); + +tmp = dir(fullfile(dirname, ext)); +[filenames I] = setdiff({tmp.name}, {'.', '..'}); +tmp = tmp(I); + +if doRecurse && sum([tmp.isdir])>0 && DEPTH0 + filenames(nfilenames+1:nfilenames+length(subDirFilenames)) = subDirFilenames; + end + end +end + +nfiles = length(filenames); +if nfiles==0 return; end + +switch fileType + case 'image', + for fi=1:nfiles + good(fi) = isImage(filenames{fi}); + end + filenames = filenames(find(good)); + case 'all', + % no-op + otherwise + error(sprintf('unrecognized file type %s', fileType)); +end + +if doSort +% % sort filenames alphanumerically (if possible) +% DJE, buggy, MUST save tmp.anr/snr/str or else we potentially lose +% filenames +% tmp = asort(filenames, '-s', 'ascend'); +% if ~isempty(tmp.anr) +% filenames = tmp.anr'; +% else +% filenames = tmp.str'; +% end + % if names could not be sorted, return original order + + filenames=sort(filenames); + +end + + +if prepend + nfiles = length(filenames); + for fi=1:nfiles + filenames{fi} = fullfile(dirname, filenames{fi}); + end +end + diff --git a/sourcecodes/bnt-master/KPMtools/div.m b/sourcecodes/bnt-master/KPMtools/div.m new file mode 100644 index 00000000..a76bc503 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/div.m @@ -0,0 +1,5 @@ +function d = div(a,b) +% DIV Integer division +% d = div(a,b) + +d = floor(a / b); diff --git a/sourcecodes/bnt-master/KPMtools/draw_circle.m b/sourcecodes/bnt-master/KPMtools/draw_circle.m new file mode 100644 index 00000000..5d60077d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/draw_circle.m @@ -0,0 +1,28 @@ +function h = draw_circle(x, r, outline_color, fill_color) +% draw filled circles at centers x with radii r. +% x is a matrix of columns. r is a row vector. + +n = 40; % resolution +radians = [0:(2*pi)/(n-1):2*pi]; +unitC = [sin(radians); cos(radians)]; + +% extend r if necessary +if length(r) < cols(x) + r = [r repmat(r(length(r)), 1, cols(x)-length(r))]; +end + +h = []; +% hold is needed for fill() +held = ishold; +hold on +for i=1:cols(x) + y = unitC*r(i) + repmat(x(:, i), 1, n); + if nargin < 4 + h = [h line(y(1,:), y(2,:), 'Color', outline_color)]; + else + h = [h fill(y(1,:), y(2,:), fill_color, 'EdgeColor', outline_color)]; + end +end +if ~held + hold off +end diff --git a/sourcecodes/bnt-master/KPMtools/draw_ellipse.m b/sourcecodes/bnt-master/KPMtools/draw_ellipse.m new file mode 100644 index 00000000..4effef0f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/draw_ellipse.m @@ -0,0 +1,24 @@ +function h = draw_ellipse(x, c, outline_color, fill_color) +% DRAW_ELLIPSE(x, c, outline_color, fill_color) +% Draws ellipses at centers x with covariance matrix c. +% x is a matrix of columns. c is a positive definite matrix. +% outline_color and fill_color are optional. + +n = 40; % resolution +radians = [0:(2*pi)/(n-1):2*pi]; +unitC = [sin(radians); cos(radians)]; +r = chol(c)'; + +if nargin < 3 + outline_color = 'g'; +end + +h = []; +for i=1:cols(x) + y = r*unitC + repmat(x(:, i), 1, n); + if nargin < 4 + h = [h line(y(1,:), y(2,:), 'Color', outline_color)]; + else + h = [h fill(y(1,:), y(2,:), fill_color, 'EdgeColor', outline_color)]; + end +end diff --git a/sourcecodes/bnt-master/KPMtools/draw_ellipse_axes.m b/sourcecodes/bnt-master/KPMtools/draw_ellipse_axes.m new file mode 100644 index 00000000..f6c44504 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/draw_ellipse_axes.m @@ -0,0 +1,19 @@ +function h = draw_ellipse_axes(x, c, linespec) +% DRAW_ELLIPSE_AXES(x, c, linespec) +% Draws the major and minor axes of ellipses. +% Ellipses are centered at x with covariance matrix c. +% x is a matrix of columns. c is a positive definite matrix. +% linespec is optional. + +[v,e] = eig(c); +v = v*sqrt(e); + +h = []; +for j = 1:cols(v) + x1 = repmat(x(1,:),2,1) + repmat([-1;1]*v(1,j),1,cols(x)); + x2 = repmat(x(2,:),2,1) + repmat([-1;1]*v(2,j),1,cols(x)); + h = [h line(x1,x2)]; +end +if nargin > 2 + set_linespec(h,linespec); +end diff --git a/sourcecodes/bnt-master/KPMtools/em_converged.m b/sourcecodes/bnt-master/KPMtools/em_converged.m new file mode 100644 index 00000000..2b2919e2 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/em_converged.m @@ -0,0 +1,32 @@ +function [converged, decrease] = em_converged(loglik, previous_loglik, threshold, check_increased) +% EM_CONVERGED Has EM converged? +% [converged, decrease] = em_converged(loglik, previous_loglik, threshold) +% +% We have converged if the slope of the log-likelihood function falls below 'threshold', +% i.e., |f(t) - f(t-1)| / avg < threshold, +% where avg = (|f(t)| + |f(t-1)|)/2 and f(t) is log lik at iteration t. +% 'threshold' defaults to 1e-4. +% +% This stopping criterion is from Numerical Recipes in C p423 +% +% If we are doing MAP estimation (using priors), the likelihood can decrase, +% even though the mode of the posterior is increasing. + +if nargin < 3, threshold = 1e-4; end +if nargin < 4, check_increased = 1; end + +converged = 0; +decrease = 0; + +if check_increased + if loglik - previous_loglik < -1e-3 % allow for a little imprecision + fprintf(1, '******likelihood decreased from %6.4f to %6.4f!\n', previous_loglik, loglik); + decrease = 1; +converged = 0; +return; + end +end + +delta_loglik = abs(loglik - previous_loglik); +avg_loglik = (abs(loglik) + abs(previous_loglik) + eps)/2; +if (delta_loglik / avg_loglik) < threshold, converged = 1; end diff --git a/sourcecodes/bnt-master/KPMtools/entropy.m b/sourcecodes/bnt-master/KPMtools/entropy.m new file mode 100644 index 00000000..d879cc48 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/entropy.m @@ -0,0 +1,17 @@ +function H = entropy(v, scale) +% ENTROPY Entropy log base 2 +% H = entropy(v) +% If v is a matrix, we compute the entropy of each column +% +% % H = entropy(v,1) means we scale the result so that it lies in [0,1] + +if nargin < 2, scale = 0; end + +v = v + (v==0); +H = -1 * sum(v .* log2(v), 1); % sum the rows + +if scale + n = size(v, 1); + unif = normalise(ones(n,1)); + H = H / entropy(unif); +end diff --git a/sourcecodes/bnt-master/KPMtools/exportfig.m b/sourcecodes/bnt-master/KPMtools/exportfig.m new file mode 100644 index 00000000..069146f3 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/exportfig.m @@ -0,0 +1,991 @@ +function varargout = exportfig(varargin) +%EXPORTFIG Export a figure. +% EXPORTFIG(H, FILENAME) writes the figure H to FILENAME. H is +% a figure handle and FILENAME is a string that specifies the +% name of the output file. +% +% EXPORTFIG(H, FILENAME, OPTIONS) writes the figure H to FILENAME +% with options initially specified by the structure OPTIONS. The +% field names of OPTIONS must be legal parameters listed below +% and the field values must be legal values for the corresponding +% parameter. Default options can be set in releases prior to R12 +% by storing the OPTIONS structure in the root object's appdata +% with the command +% setappdata(0,'exportfigdefaults', OPTIONS) +% and for releases after R12 by setting the preference with the +% command +% setpref('exportfig', 'defaults', OPTIONS) +% +% EXPORTFIG(...,PARAM1,VAL1,PARAM2,VAL2,...) specifies +% parameters that control various characteristics of the output +% file. Any parameter value can be the string 'auto' which means +% the parameter uses the default factory behavior, overriding +% any other default for the parameter. +% +% Format Paramter: +% 'Format' a string +% specifies the output format. Defaults to 'eps'. For a +% list of export formats type 'help print'. +% 'Preview' one of the strings 'none', 'tiff' +% specifies a preview for EPS files. Defaults to 'none'. +% +% Size Parameters: +% 'Width' a positive scalar +% specifies the width in the figure's PaperUnits +% 'Height' a positive scalar +% specifies the height in the figure's PaperUnits +% 'Bounds' one of the strings 'tight', 'loose' +% specifies a tight or loose bounding box. Defaults to 'tight'. +% 'Reference' an axes handle or a string +% specifies that the width and height parameters +% are relative to the given axes. If a string is +% specified then it must evaluate to an axes handle. +% +% Specifying only one dimension sets the other dimension +% so that the exported aspect ratio is the same as the +% figure's or reference axes' current aspect ratio. +% If neither dimension is specified the size defaults to +% the width and height from the figure's or reference +% axes' size. Tight bounding boxes are only computed for +% 2-D views and in that case the computed bounds enclose all +% text objects. +% +% Rendering Parameters: +% 'Color' one of the strings 'bw', 'gray', 'cmyk' +% 'bw' specifies that lines and text are exported in +% black and all other objects in grayscale +% 'gray' specifies that all objects are exported in grayscale +% 'rgb' specifies that all objects are exported in color +% using the RGB color space +% 'cmyk' specifies that all objects are exported in color +% using the CMYK color space +% 'Renderer' one of 'painters', 'zbuffer', 'opengl' +% specifies the renderer to use +% 'Resolution' a positive scalar +% specifies the resolution in dots-per-inch. +% 'LockAxes' one of 0 or 1 +% specifies that all axes limits and ticks should be fixed +% while exporting. +% +% The default color setting is 'bw'. +% +% Font Parameters: +% 'FontMode' one of the strings 'scaled', 'fixed' +% 'FontSize' a positive scalar +% in 'scaled' mode multiplies with the font size of each +% text object to obtain the exported font size +% in 'fixed' mode specifies the font size of all text +% objects in points +% 'DefaultFixedFontSize' a positive scalar +% in 'fixed' mode specified the default font size in +% points +% 'FontSizeMin' a positive scalar +% specifies the minimum font size allowed after scaling +% 'FontSizeMax' a positive scalar +% specifies the maximum font size allowed after scaling +% 'FontEncoding' one of the strings 'latin1', 'adobe' +% specifies the character encoding of the font +% 'SeparateText' one of 0 or 1 +% specifies that the text objects are stored in separate +% file as EPS with the base filename having '_t' appended. +% +% If FontMode is 'scaled' but FontSize is not specified then a +% scaling factor is computed from the ratio of the size of the +% exported figure to the size of the actual figure. +% +% The default 'FontMode' setting is 'scaled'. +% +% Line Width Parameters: +% 'LineMode' one of the strings 'scaled', 'fixed' +% 'LineWidth' a positive scalar +% 'DefaultFixedLineWidth' a positive scalar +% 'LineWidthMin' a positive scalar +% specifies the minimum line width allowed after scaling +% 'LineWidthMax' a positive scalar +% specifies the maximum line width allowed after scaling +% The semantics of 'Line' parameters are exactly the +% same as the corresponding 'Font' parameters, except that +% they apply to line widths instead of font sizes. +% +% Style Map Parameter: +% 'LineStyleMap' one of [], 'bw', or a function name or handle +% specifies how to map line colors to styles. An empty +% style map means styles are not changed. The style map +% 'bw' is a built-in mapping that maps lines with the same +% color to the same style and otherwise cycles through the +% available styles. A user-specified map is a function +% that takes as input a cell array of line objects and +% outputs a cell array of line style strings. The default +% map is []. +% +% Examples: +% exportfig(gcf,'fig1.eps','height',3); +% Exports the current figure to the file named 'fig1.eps' with +% a height of 3 inches (assuming the figure's PaperUnits is +% inches) and an aspect ratio the same as the figure's aspect +% ratio on screen. +% +% opts = struct('FontMode','fixed','FontSize',10,'height',3); +% exportfig(gcf, 'fig2.eps', opts, 'height', 5); +% Exports the current figure to 'fig2.eps' with all +% text in 10 point fonts and with height 5 inches. +% +% See also PREVIEWFIG, APPLYTOFIG, RESTOREFIG, PRINT. + +% Copyright 2000 Ben Hinkle +% Email bug reports and comments to bhinkle@mathworks.com + +if (nargin < 2) + error('Too few input arguments'); +end + +% exportfig(H, filename, [options,] ...) +H = varargin{1}; +if ~LocalIsHG(H,'figure') + error('First argument must be a handle to a figure.'); +end +filename = varargin{2}; +if ~ischar(filename) + error('Second argument must be a string.'); +end +paramPairs = {varargin{3:end}}; +if nargin > 2 + if isstruct(paramPairs{1}) + pcell = LocalToCell(paramPairs{1}); + paramPairs = {pcell{:}, paramPairs{2:end}}; + end +end +verstr = version; +majorver = str2num(verstr(1)); +defaults = []; +if majorver > 5 + if ispref('exportfig','defaults') + defaults = getpref('exportfig','defaults'); + end +elseif exist('getappdata') + defaults = getappdata(0,'exportfigdefaults'); +end +if ~isempty(defaults) + dcell = LocalToCell(defaults); + paramPairs = {dcell{:}, paramPairs{:}}; +end + +% Do some validity checking on param-value pairs +if (rem(length(paramPairs),2) ~= 0) + error(['Invalid input syntax. Optional parameters and values' ... + ' must be in pairs.']); +end + +auto.format = 'eps'; +auto.preview = 'none'; +auto.width = -1; +auto.height = -1; +auto.color = 'bw'; +auto.defaultfontsize=10; +auto.fontsize = -1; +auto.fontmode='scaled'; +auto.fontmin = 8; +auto.fontmax = 60; +auto.defaultlinewidth = 1.0; +auto.linewidth = -1; +auto.linemode=[]; +auto.linemin = 0.5; +auto.linemax = 100; +auto.fontencoding = 'latin1'; +auto.renderer = []; +auto.resolution = []; +auto.stylemap = []; +auto.applystyle = 0; +auto.refobj = -1; +auto.bounds = 'tight'; +explicitbounds = 0; +auto.lockaxes = 1; +auto.separatetext = 0; +opts = auto; + +% Process param-value pairs +args = {}; +for k = 1:2:length(paramPairs) + param = lower(paramPairs{k}); + if ~ischar(param) + error('Optional parameter names must be strings'); + end + value = paramPairs{k+1}; + + switch (param) + case 'format' + opts.format = LocalCheckAuto(lower(value),auto.format); + if strcmp(opts.format,'preview') + error(['Format ''preview'' no longer supported. Use PREVIEWFIG' ... + ' instead.']); + end + case 'preview' + opts.preview = LocalCheckAuto(lower(value),auto.preview); + if ~strcmp(opts.preview,{'none','tiff'}) + error('Preview must be ''none'' or ''tiff''.'); + end + case 'width' + opts.width = LocalToNum(value, auto.width); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.width) + error('Width must be a numeric scalar > 0'); + end + end + case 'height' + opts.height = LocalToNum(value, auto.height); + if ~ischar(value) | ~strcmp(value,'auto') + if(~LocalIsPositiveScalar(opts.height)) + error('Height must be a numeric scalar > 0'); + end + end + case 'color' + opts.color = LocalCheckAuto(lower(value),auto.color); + if ~strcmp(opts.color,{'bw','gray','rgb','cmyk'}) + error('Color must be ''bw'', ''gray'',''rgb'' or ''cmyk''.'); + end + case 'fontmode' + opts.fontmode = LocalCheckAuto(lower(value),auto.fontmode); + if ~strcmp(opts.fontmode,{'scaled','fixed'}) + error('FontMode must be ''scaled'' or ''fixed''.'); + end + case 'fontsize' + opts.fontsize = LocalToNum(value,auto.fontsize); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontsize) + error('FontSize must be a numeric scalar > 0'); + end + end + case 'defaultfixedfontsize' + opts.defaultfontsize = LocalToNum(value,auto.defaultfontsize); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.defaultfontsize) + error('DefaultFixedFontSize must be a numeric scalar > 0'); + end + end + case 'fontsizemin' + opts.fontmin = LocalToNum(value,auto.fontmin); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontmin) + error('FontSizeMin must be a numeric scalar > 0'); + end + end + case 'fontsizemax' + opts.fontmax = LocalToNum(value,auto.fontmax); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontmax) + error('FontSizeMax must be a numeric scalar > 0'); + end + end + case 'fontencoding' + opts.fontencoding = LocalCheckAuto(lower(value),auto.fontencoding); + if ~strcmp(opts.fontencoding,{'latin1','adobe'}) + error('FontEncoding must be ''latin1'' or ''adobe''.'); + end + case 'linemode' + opts.linemode = LocalCheckAuto(lower(value),auto.linemode); + if ~strcmp(opts.linemode,{'scaled','fixed'}) + error('LineMode must be ''scaled'' or ''fixed''.'); + end + case 'linewidth' + opts.linewidth = LocalToNum(value,auto.linewidth); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linewidth) + error('LineWidth must be a numeric scalar > 0'); + end + end + case 'defaultfixedlinewidth' + opts.defaultlinewidth = LocalToNum(value,auto.defaultlinewidth); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.defaultlinewidth) + error(['DefaultFixedLineWidth must be a numeric scalar >' ... + ' 0']); + end + end + case 'linewidthmin' + opts.linemin = LocalToNum(value,auto.linemin); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linemin) + error('LineWidthMin must be a numeric scalar > 0'); + end + end + case 'linewidthmax' + opts.linemax = LocalToNum(value,auto.linemax); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linemax) + error('LineWidthMax must be a numeric scalar > 0'); + end + end + case 'linestylemap' + opts.stylemap = LocalCheckAuto(value,auto.stylemap); + case 'renderer' + opts.renderer = LocalCheckAuto(lower(value),auto.renderer); + if ~ischar(value) | ~strcmp(value,'auto') + if ~strcmp(opts.renderer,{'painters','zbuffer','opengl'}) + error(['Renderer must be ''painters'', ''zbuffer'' or' ... + ' ''opengl''.']); + end + end + case 'resolution' + opts.resolution = LocalToNum(value,auto.resolution); + if ~ischar(value) | ~strcmp(value,'auto') + if ~(isnumeric(value) & (prod(size(value)) == 1) & (value >= 0)); + error('Resolution must be a numeric scalar >= 0'); + end + end + case 'applystyle' % means to apply the options and not export + opts.applystyle = 1; + case 'reference' + if ischar(value) + if strcmp(value,'auto') + opts.refobj = auto.refobj; + else + opts.refobj = eval(value); + end + else + opts.refobj = value; + end + if ~LocalIsHG(opts.refobj,'axes') + error('Reference object must evaluate to an axes handle.'); + end + case 'bounds' + opts.bounds = LocalCheckAuto(lower(value),auto.bounds); + explicitbounds = 1; + if ~strcmp(opts.bounds,{'tight','loose'}) + error('Bounds must be ''tight'' or ''loose''.'); + end + case 'lockaxes' + opts.lockaxes = LocalToNum(value,auto.lockaxes); + case 'separatetext' + opts.separatetext = LocalToNum(value,auto.separatetext); + otherwise + error(['Unrecognized option ' param '.']); + end +end + +% make sure figure is up-to-date +drawnow; + +allLines = findall(H, 'type', 'line'); +allText = findall(H, 'type', 'text'); +allAxes = findall(H, 'type', 'axes'); +allImages = findall(H, 'type', 'image'); +allLights = findall(H, 'type', 'light'); +allPatch = findall(H, 'type', 'patch'); +allSurf = findall(H, 'type', 'surface'); +allRect = findall(H, 'type', 'rectangle'); +allFont = [allText; allAxes]; +allColor = [allLines; allText; allAxes; allLights]; +allMarker = [allLines; allPatch; allSurf]; +allEdge = [allPatch; allSurf]; +allCData = [allImages; allPatch; allSurf]; + +old.objs = {}; +old.prop = {}; +old.values = {}; + +% Process format +if strncmp(opts.format,'eps',3) & ~strcmp(opts.preview,'none') + args = {args{:}, ['-' opts.preview]}; +end + +hadError = 0; +oldwarn = warning; +try + + % lock axes limits, ticks and labels if requested + if opts.lockaxes + old = LocalManualAxesMode(old, allAxes, 'TickMode'); + old = LocalManualAxesMode(old, allAxes, 'TickLabelMode'); + old = LocalManualAxesMode(old, allAxes, 'LimMode'); + end + + % Process size parameters + figurePaperUnits = get(H, 'PaperUnits'); + oldFigureUnits = get(H, 'Units'); + oldFigPos = get(H,'Position'); + set(H, 'Units', figurePaperUnits); + figPos = get(H,'Position'); + refsize = figPos(3:4); + if opts.refobj ~= -1 + oldUnits = get(opts.refobj, 'Units'); + set(opts.refobj, 'Units', figurePaperUnits); + r = get(opts.refobj, 'Position'); + refsize = r(3:4); + set(opts.refobj, 'Units', oldUnits); + end + aspectRatio = refsize(1)/refsize(2); + if (opts.width == -1) & (opts.height == -1) + opts.width = refsize(1); + opts.height = refsize(2); + elseif (opts.width == -1) + opts.width = opts.height * aspectRatio; + elseif (opts.height == -1) + opts.height = opts.width / aspectRatio; + end + wscale = opts.width/refsize(1); + hscale = opts.height/refsize(2); + sizescale = min(wscale,hscale); + old = LocalPushOldData(old,H,'PaperPositionMode', ... + get(H,'PaperPositionMode')); + set(H, 'PaperPositionMode', 'auto'); + newPos = [figPos(1) figPos(2)+figPos(4)*(1-hscale) ... + wscale*figPos(3) hscale*figPos(4)]; + set(H, 'Position', newPos); + set(H, 'Units', oldFigureUnits); + + % process line-style map + if ~isempty(opts.stylemap) & ~isempty(allLines) + oldlstyle = LocalGetAsCell(allLines,'LineStyle'); + old = LocalPushOldData(old, allLines, {'LineStyle'}, ... + oldlstyle); + newlstyle = oldlstyle; + if ischar(opts.stylemap) & strcmpi(opts.stylemap,'bw') + newlstyle = LocalMapColorToStyle(allLines); + else + try + newlstyle = feval(opts.stylemap,allLines); + catch + warning(['Skipping stylemap. ' lasterr]); + end + end + set(allLines,{'LineStyle'},newlstyle); + end + + % Process rendering parameters + switch (opts.color) + case {'bw', 'gray'} + if ~strcmp(opts.color,'bw') & strncmp(opts.format,'eps',3) + opts.format = [opts.format 'c']; + end + args = {args{:}, ['-d' opts.format]}; + + %compute and set gray colormap + oldcmap = get(H,'Colormap'); + newgrays = 0.30*oldcmap(:,1) + 0.59*oldcmap(:,2) + 0.11*oldcmap(:,3); + newcmap = [newgrays newgrays newgrays]; + old = LocalPushOldData(old, H, 'Colormap', oldcmap); + set(H, 'Colormap', newcmap); + + %compute and set ColorSpec and CData properties + old = LocalUpdateColors(allColor, 'color', old); + old = LocalUpdateColors(allAxes, 'xcolor', old); + old = LocalUpdateColors(allAxes, 'ycolor', old); + old = LocalUpdateColors(allAxes, 'zcolor', old); + old = LocalUpdateColors(allMarker, 'MarkerEdgeColor', old); + old = LocalUpdateColors(allMarker, 'MarkerFaceColor', old); + old = LocalUpdateColors(allEdge, 'EdgeColor', old); + old = LocalUpdateColors(allEdge, 'FaceColor', old); + old = LocalUpdateColors(allCData, 'CData', old); + + case {'rgb','cmyk'} + if strncmp(opts.format,'eps',3) + opts.format = [opts.format 'c']; + args = {args{:}, ['-d' opts.format]}; + if strcmp(opts.color,'cmyk') + args = {args{:}, '-cmyk'}; + end + else + args = {args{:}, ['-d' opts.format]}; + end + otherwise + error('Invalid Color parameter'); + end + if (~isempty(opts.renderer)) + args = {args{:}, ['-' opts.renderer]}; + end + if (~isempty(opts.resolution)) | ~strncmp(opts.format,'eps',3) + if isempty(opts.resolution) + opts.resolution = 0; + end + args = {args{:}, ['-r' int2str(opts.resolution)]}; + end + + % Process font parameters + if ~isempty(opts.fontmode) + oldfonts = LocalGetAsCell(allFont,'FontSize'); + oldfontunits = LocalGetAsCell(allFont,'FontUnits'); + set(allFont,'FontUnits','points'); + switch (opts.fontmode) + case 'fixed' + if (opts.fontsize == -1) + set(allFont,'FontSize',opts.defaultfontsize); + else + set(allFont,'FontSize',opts.fontsize); + end + case 'scaled' + if (opts.fontsize == -1) + scale = sizescale; + else + scale = opts.fontsize; + end + newfonts = LocalScale(oldfonts,scale,opts.fontmin,opts.fontmax); + set(allFont,{'FontSize'},newfonts); + otherwise + error('Invalid FontMode parameter'); + end + old = LocalPushOldData(old, allFont, {'FontSize'}, oldfonts); + old = LocalPushOldData(old, allFont, {'FontUnits'}, oldfontunits); + end + if strcmp(opts.fontencoding,'adobe') & strncmp(opts.format,'eps',3) + args = {args{:}, '-adobecset'}; + end + + % Process line parameters + if ~isempty(opts.linemode) + oldlines = LocalGetAsCell(allMarker,'LineWidth'); + old = LocalPushOldData(old, allMarker, {'LineWidth'}, oldlines); + switch (opts.linemode) + case 'fixed' + if (opts.linewidth == -1) + set(allMarker,'LineWidth',opts.defaultlinewidth); + else + set(allMarker,'LineWidth',opts.linewidth); + end + case 'scaled' + if (opts.linewidth == -1) + scale = sizescale; + else + scale = opts.linewidth; + end + newlines = LocalScale(oldlines, scale, opts.linemin, opts.linemax); + set(allMarker,{'LineWidth'},newlines); + end + end + + % adjust figure bounds to surround axes + if strcmp(opts.bounds,'tight') + if (~strncmp(opts.format,'eps',3) & LocalHas3DPlot(allAxes)) | ... + (strncmp(opts.format,'eps',3) & opts.separatetext) + if (explicitbounds == 1) + warning(['Cannot compute ''tight'' bounds. Using ''loose''' ... + ' bounds.']); + end + opts.bounds = 'loose'; + end + end + warning('off'); + if ~isempty(allAxes) + if strncmp(opts.format,'eps',3) + if strcmp(opts.bounds,'loose') + args = {args{:}, '-loose'}; + end + old = LocalPushOldData(old,H,'Position', oldFigPos); + elseif strcmp(opts.bounds,'tight') + oldaunits = LocalGetAsCell(allAxes,'Units'); + oldapos = LocalGetAsCell(allAxes,'Position'); + oldtunits = LocalGetAsCell(allText,'units'); + oldtpos = LocalGetAsCell(allText,'Position'); + set(allAxes,'units','points'); + apos = LocalGetAsCell(allAxes,'Position'); + oldunits = get(H,'Units'); + set(H,'units','points'); + origfr = get(H,'position'); + fr = []; + for k=1:length(allAxes) + if ~strcmpi(get(allAxes(k),'Tag'),'legend') + axesR = apos{k}; + r = LocalAxesTightBoundingBox(axesR, allAxes(k)); + r(1:2) = r(1:2) + axesR(1:2); + fr = LocalUnionRect(fr,r); + end + end + if isempty(fr) + fr = [0 0 origfr(3:4)]; + end + for k=1:length(allAxes) + ax = allAxes(k); + r = apos{k}; + r(1:2) = r(1:2) - fr(1:2); + set(ax,'Position',r); + end + old = LocalPushOldData(old, allAxes, {'Position'}, oldapos); + old = LocalPushOldData(old, allText, {'Position'}, oldtpos); + old = LocalPushOldData(old, allText, {'Units'}, oldtunits); + old = LocalPushOldData(old, allAxes, {'Units'}, oldaunits); + old = LocalPushOldData(old, H, 'Position', oldFigPos); + old = LocalPushOldData(old, H, 'Units', oldFigureUnits); + r = [origfr(1) origfr(2)+origfr(4)-fr(4) fr(3:4)]; + set(H,'Position',r); + else + args = {args{:}, '-loose'}; + old = LocalPushOldData(old,H,'Position', oldFigPos); + end + end + + % Process text in a separate file if needed + if opts.separatetext & ~opts.applystyle + % First hide all text and export + oldtvis = LocalGetAsCell(allText,'visible'); + set(allText,'visible','off'); + oldax = LocalGetAsCell(allAxes,'XTickLabel',1); + olday = LocalGetAsCell(allAxes,'YTickLabel',1); + oldaz = LocalGetAsCell(allAxes,'ZTickLabel',1); + null = cell(length(oldax),1); + [null{:}] = deal([]); + set(allAxes,{'XTickLabel'},null); + set(allAxes,{'YTickLabel'},null); + set(allAxes,{'ZTickLabel'},null); + print(H, filename, args{:}); + set(allText,{'Visible'},oldtvis); + set(allAxes,{'XTickLabel'},oldax); + set(allAxes,{'YTickLabel'},olday); + set(allAxes,{'ZTickLabel'},oldaz); + % Now hide all non-text and export as eps in painters + [path, name, ext] = fileparts(filename); + tfile = fullfile(path,[name '_t.eps']); + tfile2 = fullfile(path,[name '_t2.eps']); + foundRenderer = 0; + for k=1:length(args) + if strncmp('-d',args{k},2) + args{k} = '-deps'; + elseif strncmp('-zbuffer',args{k},8) | ... + strncmp('-opengl', args{k},6) + args{k} = '-painters'; + foundRenderer = 1; + end + end + if ~foundRenderer + args = {args{:}, '-painters'}; + end + allNonText = [allLines; allLights; allPatch; ... + allImages; allSurf; allRect]; + oldvis = LocalGetAsCell(allNonText,'visible'); + oldc = LocalGetAsCell(allAxes,'color'); + oldaxg = LocalGetAsCell(allAxes,'XGrid'); + oldayg = LocalGetAsCell(allAxes,'YGrid'); + oldazg = LocalGetAsCell(allAxes,'ZGrid'); + [null{:}] = deal('off'); + set(allAxes,{'XGrid'},null); + set(allAxes,{'YGrid'},null); + set(allAxes,{'ZGrid'},null); + set(allNonText,'Visible','off'); + set(allAxes,'Color','none'); + print(H, tfile2, args{:}); + set(allNonText,{'Visible'},oldvis); + set(allAxes,{'Color'},oldc); + set(allAxes,{'XGrid'},oldaxg); + set(allAxes,{'YGrid'},oldayg); + set(allAxes,{'ZGrid'},oldazg); + %hack up the postscript file + fid1 = fopen(tfile,'w'); + fid2 = fopen(tfile2,'r'); + line = fgetl(fid2); + while ischar(line) + if strncmp(line,'%%Title',7) + fprintf(fid1,'%s\n',['%%Title: ', tfile]); + elseif (length(line) < 3) + fprintf(fid1,'%s\n',line); + elseif ~strcmp(line(end-2:end),' PR') & ... + ~strcmp(line(end-1:end),' L') + fprintf(fid1,'%s\n',line); + end + line = fgetl(fid2); + end + fclose(fid1); + fclose(fid2); + delete(tfile2); + + elseif ~opts.applystyle + drawnow; + print(H, filename, args{:}); + end + warning(oldwarn); + +catch + warning(oldwarn); + hadError = 1; +end + +% Restore figure settings +if opts.applystyle + varargout{1} = old; +else + for n=1:length(old.objs) + if ~iscell(old.values{n}) & iscell(old.prop{n}) + old.values{n} = {old.values{n}}; + end + set(old.objs{n}, old.prop{n}, old.values{n}); + end +end + +if hadError + error(deblank(lasterr)); +end + +% +% Local Functions +% + +function outData = LocalPushOldData(inData, objs, prop, values) +outData.objs = {objs, inData.objs{:}}; +outData.prop = {prop, inData.prop{:}}; +outData.values = {values, inData.values{:}}; + +function cellArray = LocalGetAsCell(fig,prop,allowemptycell); +cellArray = get(fig,prop); +if nargin < 3 + allowemptycell = 0; +end +if ~iscell(cellArray) & (allowemptycell | ~isempty(cellArray)) + cellArray = {cellArray}; +end + +function newArray = LocalScale(inArray, scale, minv, maxv) +n = length(inArray); +newArray = cell(n,1); +for k=1:n + newArray{k} = min(maxv,max(minv,scale*inArray{k}(1))); +end + +function gray = LocalMapToGray1(color) +gray = color; +if ischar(color) + switch color(1) + case 'y' + color = [1 1 0]; + case 'm' + color = [1 0 1]; + case 'c' + color = [0 1 1]; + case 'r' + color = [1 0 0]; + case 'g' + color = [0 1 0]; + case 'b' + color = [0 0 1]; + case 'w' + color = [1 1 1]; + case 'k' + color = [0 0 0]; + end +end +if ~ischar(color) + gray = 0.30*color(1) + 0.59*color(2) + 0.11*color(3); +end + +function newArray = LocalMapToGray(inArray); +n = length(inArray); +newArray = cell(n,1); +for k=1:n + color = inArray{k}; + if ~isempty(color) + color = LocalMapToGray1(color); + end + if isempty(color) | ischar(color) + newArray{k} = color; + else + newArray{k} = [color color color]; + end +end + +function newArray = LocalMapColorToStyle(inArray); +inArray = LocalGetAsCell(inArray,'Color'); +n = length(inArray); +newArray = cell(n,1); +styles = {'-','--',':','-.'}; +uniques = []; +nstyles = length(styles); +for k=1:n + gray = LocalMapToGray1(inArray{k}); + if isempty(gray) | ischar(gray) | gray < .05 + newArray{k} = '-'; + else + if ~isempty(uniques) & any(gray == uniques) + ind = find(gray==uniques); + else + uniques = [uniques gray]; + ind = length(uniques); + end + newArray{k} = styles{mod(ind-1,nstyles)+1}; + end +end + +function newArray = LocalMapCData(inArray); +n = length(inArray); +newArray = cell(n,1); +for k=1:n + color = inArray{k}; + if (ndims(color) == 3) & isa(color,'double') + gray = 0.30*color(:,:,1) + 0.59*color(:,:,2) + 0.11*color(:,:,3); + color(:,:,1) = gray; + color(:,:,2) = gray; + color(:,:,3) = gray; + end + newArray{k} = color; +end + +function outData = LocalUpdateColors(inArray, prop, inData) +value = LocalGetAsCell(inArray,prop); +outData.objs = {inData.objs{:}, inArray}; +outData.prop = {inData.prop{:}, {prop}}; +outData.values = {inData.values{:}, value}; +if (~isempty(value)) + if strcmp(prop,'CData') + value = LocalMapCData(value); + else + value = LocalMapToGray(value); + end + set(inArray,{prop},value); +end + +function bool = LocalIsPositiveScalar(value) +bool = isnumeric(value) & ... + prod(size(value)) == 1 & ... + value > 0; + +function value = LocalToNum(value,auto) +if ischar(value) + if strcmp(value,'auto') + value = auto; + else + value = str2num(value); + end +end + +%convert a struct to {field1,val1,field2,val2,...} +function c = LocalToCell(s) +f = fieldnames(s); +v = struct2cell(s); +opts = cell(2,length(f)); +opts(1,:) = f; +opts(2,:) = v; +c = {opts{:}}; + +function c = LocalIsHG(obj,hgtype) +c = 0; +if (length(obj) == 1) & ishandle(obj) + c = strcmp(get(obj,'type'),hgtype); +end + +function c = LocalHas3DPlot(a) +zticks = LocalGetAsCell(a,'ZTickLabel'); +c = 0; +for k=1:length(zticks) + if ~isempty(zticks{k}) + c = 1; + return; + end +end + +function r = LocalUnionRect(r1,r2) +if isempty(r1) + r = r2; +elseif isempty(r2) + r = r1; +elseif max(r2(3:4)) > 0 + left = min(r1(1),r2(1)); + bot = min(r1(2),r2(2)); + right = max(r1(1)+r1(3),r2(1)+r2(3)); + top = max(r1(2)+r1(4),r2(2)+r2(4)); + r = [left bot right-left top-bot]; +else + r = r1; +end + +function c = LocalLabelsMatchTicks(labs,ticks) +c = 0; +try + t1 = num2str(ticks(1)); + n = length(ticks); + tend = num2str(ticks(n)); + c = strncmp(labs(1),t1,length(labs(1))) & ... + strncmp(labs(n),tend,length(labs(n))); +end + +function r = LocalAxesTightBoundingBox(axesR, a) +r = []; +atext = findall(a,'type','text','visible','on'); +if ~isempty(atext) + set(atext,'units','points'); + res=LocalGetAsCell(atext,'extent'); + for n=1:length(atext) + r = LocalUnionRect(r,res{n}); + end +end +if strcmp(get(a,'visible'),'on') + r = LocalUnionRect(r,[0 0 axesR(3:4)]); + oldunits = get(a,'fontunits'); + set(a,'fontunits','points'); + label = text(0,0,'','parent',a,... + 'units','points',... + 'fontsize',get(a,'fontsize'),... + 'fontname',get(a,'fontname'),... + 'fontweight',get(a,'fontweight'),... + 'fontangle',get(a,'fontangle'),... + 'visible','off'); + fs = get(a,'fontsize'); + + % handle y axis tick labels + ry = [0 -fs/2 0 axesR(4)+fs]; + ylabs = get(a,'yticklabels'); + yticks = get(a,'ytick'); + maxw = 0; + if ~isempty(ylabs) + for n=1:size(ylabs,1) + set(label,'string',ylabs(n,:)); + ext = get(label,'extent'); + maxw = max(maxw,ext(3)); + end + if ~LocalLabelsMatchTicks(ylabs,yticks) & ... + strcmp(get(a,'xaxislocation'),'bottom') + ry(4) = ry(4) + 1.5*ext(4); + end + if strcmp(get(a,'yaxislocation'),'left') + ry(1) = -(maxw+5); + else + ry(1) = axesR(3); + end + ry(3) = maxw+5; + r = LocalUnionRect(r,ry); + end + + % handle x axis tick labels + rx = [0 0 0 fs+5]; + xlabs = get(a,'xticklabels'); + xticks = get(a,'xtick'); + if ~isempty(xlabs) + if strcmp(get(a,'xaxislocation'),'bottom') + rx(2) = -(fs+5); + if ~LocalLabelsMatchTicks(xlabs,xticks); + rx(4) = rx(4) + 2*fs; + rx(2) = rx(2) - 2*fs; + end + else + rx(2) = axesR(4); + % exponent is still below axes + if ~LocalLabelsMatchTicks(xlabs,xticks); + rx(4) = rx(4) + axesR(4) + 2*fs; + rx(2) = -2*fs; + end + end + set(label,'string',xlabs(1,:)); + ext1 = get(label,'extent'); + rx(1) = -ext1(3)/2; + set(label,'string',xlabs(size(xlabs,1),:)); + ext2 = get(label,'extent'); + rx(3) = axesR(3) + (ext2(3) + ext1(3))/2; + r = LocalUnionRect(r,rx); + end + set(a,'fontunits',oldunits); + delete(label); +end + +function c = LocalManualAxesMode(old, allAxes, base) +xs = ['X' base]; +ys = ['Y' base]; +zs = ['Z' base]; +oldXMode = LocalGetAsCell(allAxes,xs); +oldYMode = LocalGetAsCell(allAxes,ys); +oldZMode = LocalGetAsCell(allAxes,zs); +old = LocalPushOldData(old, allAxes, {xs}, oldXMode); +old = LocalPushOldData(old, allAxes, {ys}, oldYMode); +old = LocalPushOldData(old, allAxes, {zs}, oldZMode); +set(allAxes,xs,'manual'); +set(allAxes,ys,'manual'); +set(allAxes,zs,'manual'); +c = old; + +function val = LocalCheckAuto(val, auto) +if ischar(val) & strcmp(val,'auto') + val = auto; +end diff --git a/sourcecodes/bnt-master/KPMtools/extend_domain_table.m b/sourcecodes/bnt-master/KPMtools/extend_domain_table.m new file mode 100644 index 00000000..4ed0b2cd --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/extend_domain_table.m @@ -0,0 +1,24 @@ +function B = extend_domain_table(A, smalldom, smallsz, bigdom, bigsz) +% EXTEND_DOMAIN_TABLE Expand an array so it has the desired size. +% B = extend_domain_table(A, smalldom, smallsz, bigdom, bigsz) +% +% A is the array with domain smalldom and sizes smallsz. +% bigdom is the desired domain, with sizes bigsz. +% +% Example: +% smalldom = [1 3], smallsz = [2 4], bigdom = [1 2 3 4], bigsz = [2 1 4 5], +% so B(i,j,k,l) = A(i,k) for i in 1:2, j in 1:1, k in 1:4, l in 1:5 + +if isequal(size(A), [1 1]) % a scalar + B = A; % * myones(bigsz); + return; +end + +map = find_equiv_posns(smalldom, bigdom); +sz = ones(1, length(bigdom)); +sz(map) = smallsz; +B = myreshape(A, sz); % add dimensions for the stuff not in A +sz = bigsz; +sz(map) = 1; % don't replicate along A's dimensions +B = myrepmat(B, sz(:)'); + diff --git a/sourcecodes/bnt-master/KPMtools/factorial.m b/sourcecodes/bnt-master/KPMtools/factorial.m new file mode 100644 index 00000000..7eab9a5f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/factorial.m @@ -0,0 +1,9 @@ +function x = factorial(n) +% FACTORIAL Compute n! +% x = factorial(n) + +if n == 0 + x = 1; +else + x = n*factorial(n-1); +end diff --git a/sourcecodes/bnt-master/KPMtools/filepartsLast.m b/sourcecodes/bnt-master/KPMtools/filepartsLast.m new file mode 100644 index 00000000..58c5511a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/filepartsLast.m @@ -0,0 +1,12 @@ +function [last] = filepartsLast(fname) +% filepartsLast Return the last part of a filename (strip off directory and suffix) +% function filepartsLast(fname) +% +% Examples +% filepartsLast('C:/foo/bar') = 'bar' +% filepartsLast('C:/foo/bar.mat') = 'bar' +% filepartsLast('C:/foo/bar.mat.gz') = 'bar.mat' +% filepartsLast('bar.mat') = 'bar' + +[pathstr,name,ext,versn] = fileparts(fname); +last = name; diff --git a/sourcecodes/bnt-master/KPMtools/find_equiv_posns.m b/sourcecodes/bnt-master/KPMtools/find_equiv_posns.m new file mode 100644 index 00000000..cc2b8b1b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/find_equiv_posns.m @@ -0,0 +1,24 @@ +function p = find_equiv_posns(vsmall, vlarge) +% FIND_EQUIV_POSNS p[i] = the place where vsmall[i] occurs in vlarge. +% p = find_equiv_posns(vsmall, vlarge) +% THE VECTORS ARE ASSUMED TO BE SORTED. +% +% e.g., vsmall=[2,8], vlarge=[2,7,8,4], p=[1,3] +% +% In R/S, this function is called 'match' + +%if ~mysubset(vsmall, vlarge) +% error('small domain must occur in large domain'); +%end + +if isempty(vsmall) || isempty(vlarge) + p = []; + return; +end + +bitvec = sparse(1, max(vlarge)); +%bitvec = zeros(1, max(vlarge)); +bitvec(vsmall) = 1; +p = find(bitvec(vlarge)); + +%p = find(ismember(vlarge, vsmall)); % slower diff --git a/sourcecodes/bnt-master/KPMtools/fullfileKPM.m b/sourcecodes/bnt-master/KPMtools/fullfileKPM.m new file mode 100644 index 00000000..a3ab4432 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/fullfileKPM.m @@ -0,0 +1,6 @@ +function f = fullfileKPM(varargin) +% fullfileKPM Concatenate strings with file separator, then convert it to a/b/c +% function f = fullfileKPM(varargin) + +f = fullfile(varargin{:}); +f = strrep(f, '\', '/'); diff --git a/sourcecodes/bnt-master/KPMtools/genpathKPM.m b/sourcecodes/bnt-master/KPMtools/genpathKPM.m new file mode 100644 index 00000000..8994fc9b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/genpathKPM.m @@ -0,0 +1,45 @@ +function p = genpathKPM(d) +% genpathKPM Like built-in genpath, but omits directories whose name is 'Old', 'old' or 'CVS' +% function p = genpathKPM(d) + +if nargin==0, + p = genpath(fullfile(matlabroot,'toolbox')); + if length(p) > 1, p(end) = []; end % Remove trailing pathsep + return +end + +% initialise variables +methodsep = '@'; % qualifier for overloaded method directories +p = ''; % path to be returned + +% Generate path based on given root directory +files = dir(d); +if isempty(files) + return +end + +% Add d to the path even if it is empty. +p = [p d pathsep]; + +% set logical vector for subdirectory entries in d +isdir = logical(cat(1,files.isdir)); +% +% Recursively descend through directories which are neither +% private nor "class" directories. +% +dirs = files(isdir); % select only directory entries from the current listing + +for i=1:length(dirs) + dirname = dirs(i).name; + if ~strcmp( dirname,'.') & ... + ~strcmp( dirname,'..') & ... + ~strncmp( dirname,methodsep,1)& ... + ~strcmp( dirname,'private') & ... + ~strcmp( dirname, 'old') & ... % KPM + ~strcmp( dirname, 'Old') & ... % KPM + ~strcmp( dirname, 'CVS') % KPM + p = [p genpathKPM(fullfile(d,dirname))]; % recursive calling of this function. + end +end + +%------------------------------------------------------------------------------ diff --git a/sourcecodes/bnt-master/KPMtools/hash_add.m b/sourcecodes/bnt-master/KPMtools/hash_add.m new file mode 100644 index 00000000..f302d8f1 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/hash_add.m @@ -0,0 +1,19 @@ +function hash_add(key, val, fname) +% HASH_ADD Append key,value pair to end of hashtable stored in a file +% function hash_add(key, val, filename) +% +% See hash_lookup for an example + +if ~exist(fname, 'file') + % new hashtable + hashtable.key{1} = key; + hashtable.value{1} = val; +else + %hashtable = importdata(fname); + %hashtable = load(fname, '-mat'); + load(fname, '-mat'); + Nentries = length(hashtable.key); + hashtable.key{Nentries+1} = key; + hashtable.value{Nentries+1} = val; +end +save(fname, 'hashtable', '-mat'); diff --git a/sourcecodes/bnt-master/KPMtools/hash_del.m b/sourcecodes/bnt-master/KPMtools/hash_del.m new file mode 100644 index 00000000..c5de3daa --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/hash_del.m @@ -0,0 +1,26 @@ +function ndx = hash_del(key, fname) +% HASH_DEL Remove all entries that match key from hashtable stored in a file +% ndx = hash_del(key, fname) +% +% Returns indices of matching entries (if any) +% See hash_lookup for an example + +ndx = []; + +if ~exist(fname, 'file') + % new hashtable - no op +else + %hashtable = importdata(fname); + %hashtable = load(fname, '-mat'); + load(fname, '-mat'); + Nentries = length(hashtable.key); + for i=1:Nentries + if isequal(hashtable.key{i}, key) + ndx = [ndx i]; + end + end + hashtable.key(ndx) = []; + hashtable.value(ndx) = []; + save(fname, 'hashtable', '-mat'); +end + diff --git a/sourcecodes/bnt-master/KPMtools/hash_lookup.m b/sourcecodes/bnt-master/KPMtools/hash_lookup.m new file mode 100644 index 00000000..847c6d58 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/hash_lookup.m @@ -0,0 +1,34 @@ +function [val, found, Nentries] = hash_lookup(key, fname) +% HASH_LOOKUP Lookup a key in a hash table stored in a file using linear search +% function [val, found, Nentries] = hash_lookup(key, filename) +% +% Example: +% If htbl.mat does not exist, +% [val,found,N] = hash_lookup('foo', 'htbl') +% returns found val = [], found = 0, N = 0 +% hash_add('foo', 42, 'htbl') +% hash_add('bar', [1:10], 'htbl') +% [val,found,N] = hash_lookup('foo', 'htbl') +% now returns val = 42, found = 1, N = 2 +% +% Type 'delete htbl' to delete the file/ reset the hashtable + + +val = []; +found = 0; + +if exist(fname, 'file')==0 + % new hashtable + Nentries = 0; +else + %hashtable = importdata(fname); + load(fname); + Nentries = length(hashtable.key); + for i=1:Nentries + if isequal(hashtable.key{i}, key) + val = hashtable.value{i}; + found = 1; + break; + end + end +end diff --git a/sourcecodes/bnt-master/KPMtools/hsvKPM.m b/sourcecodes/bnt-master/KPMtools/hsvKPM.m new file mode 100644 index 00000000..29521ae5 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/hsvKPM.m @@ -0,0 +1,7 @@ +function colors = hsvKPM(N) +% hsvKPM Like built-in HSV, except it randomizes the order, so that adjacent colors are dis-similar +% function colors = hsvKPM(N) + +colors = hsv(N); +perm = randperm(N); +colors = colors(perm,:); diff --git a/sourcecodes/bnt-master/KPMtools/hungarian.m b/sourcecodes/bnt-master/KPMtools/hungarian.m new file mode 100644 index 00000000..0b493f07 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/hungarian.m @@ -0,0 +1,464 @@ +function [C,T]=hungarian(A) +%HUNGARIAN Solve the Assignment problem using the Hungarian method. +% +%[C,T]=hungarian(A) +%A - a square cost matrix. +%C - the optimal assignment. +%T - the cost of the optimal assignment. + +% Adapted from the FORTRAN IV code in Carpaneto and Toth, "Algorithm 548: +% Solution of the assignment problem [H]", ACM Transactions on +% Mathematical Software, 6(1):104-111, 1980. + +% v1.0 96-06-14. Niclas Borlin, niclas@cs.umu.se. +% Department of Computing Science, Umeå University, +% Sweden. +% All standard disclaimers apply. + +% A substantial effort was put into this code. If you use it for a +% publication or otherwise, please include an acknowledgement or at least +% notify me by email. /Niclas + +[m,n]=size(A); + +if (m~=n) + error('HUNGARIAN: Cost matrix must be square!'); +end + +% Save original cost matrix. +orig=A; + +% Reduce matrix. +A=hminired(A); + +% Do an initial assignment. +[A,C,U]=hminiass(A); + +% Repeat while we have unassigned rows. +while (U(n+1)) + % Start with no path, no unchecked zeros, and no unexplored rows. + LR=zeros(1,n); + LC=zeros(1,n); + CH=zeros(1,n); + RH=[zeros(1,n) -1]; + + % No labelled columns. + SLC=[]; + + % Start path in first unassigned row. + r=U(n+1); + % Mark row with end-of-path label. + LR(r)=-1; + % Insert row first in labelled row set. + SLR=r; + + % Repeat until we manage to find an assignable zero. + while (1) + % If there are free zeros in row r + if (A(r,n+1)~=0) + % ...get column of first free zero. + l=-A(r,n+1); + + % If there are more free zeros in row r and row r in not + % yet marked as unexplored.. + if (A(r,l)~=0 & RH(r)==0) + % Insert row r first in unexplored list. + RH(r)=RH(n+1); + RH(n+1)=r; + + % Mark in which column the next unexplored zero in this row + % is. + CH(r)=-A(r,l); + end + else + % If all rows are explored.. + if (RH(n+1)<=0) + % Reduce matrix. + [A,CH,RH]=hmreduce(A,CH,RH,LC,LR,SLC,SLR); + end + + % Re-start with first unexplored row. + r=RH(n+1); + % Get column of next free zero in row r. + l=CH(r); + % Advance "column of next free zero". + CH(r)=-A(r,l); + % If this zero is last in the list.. + if (A(r,l)==0) + % ...remove row r from unexplored list. + RH(n+1)=RH(r); + RH(r)=0; + end + end + + % While the column l is labelled, i.e. in path. + while (LC(l)~=0) + % If row r is explored.. + if (RH(r)==0) + % If all rows are explored.. + if (RH(n+1)<=0) + % Reduce cost matrix. + [A,CH,RH]=hmreduce(A,CH,RH,LC,LR,SLC,SLR); + end + + % Re-start with first unexplored row. + r=RH(n+1); + end + + % Get column of next free zero in row r. + l=CH(r); + + % Advance "column of next free zero". + CH(r)=-A(r,l); + + % If this zero is last in list.. + if(A(r,l)==0) + % ...remove row r from unexplored list. + RH(n+1)=RH(r); + RH(r)=0; + end + end + + % If the column found is unassigned.. + if (C(l)==0) + % Flip all zeros along the path in LR,LC. + [A,C,U]=hmflip(A,C,LC,LR,U,l,r); + % ...and exit to continue with next unassigned row. + break; + else + % ...else add zero to path. + + % Label column l with row r. + LC(l)=r; + + % Add l to the set of labelled columns. + SLC=[SLC l]; + + % Continue with the row assigned to column l. + r=C(l); + + % Label row r with column l. + LR(r)=l; + + % Add r to the set of labelled rows. + SLR=[SLR r]; + end + end +end + +% Calculate the total cost. +T=sum(orig(logical(sparse(C,1:size(orig,2),1)))); + + +function A=hminired(A) +%HMINIRED Initial reduction of cost matrix for the Hungarian method. +% +%B=assredin(A) +%A - the unreduced cost matris. +%B - the reduced cost matrix with linked zeros in each row. + +% v1.0 96-06-13. Niclas Borlin, niclas@cs.umu.se. + +[m,n]=size(A); + +% Subtract column-minimum values from each column. +colMin=min(A); +A=A-colMin(ones(n,1),:); + +% Subtract row-minimum values from each row. +rowMin=min(A')'; +A=A-rowMin(:,ones(1,n)); + +% Get positions of all zeros. +[i,j]=find(A==0); + +% Extend A to give room for row zero list header column. +A(1,n+1)=0; +for k=1:n + % Get all column in this row. + cols=j(k==i)'; + % Insert pointers in matrix. + A(k,[n+1 cols])=[-cols 0]; +end + + +function [A,C,U]=hminiass(A) +%HMINIASS Initial assignment of the Hungarian method. +% +%[B,C,U]=hminiass(A) +%A - the reduced cost matrix. +%B - the reduced cost matrix, with assigned zeros removed from lists. +%C - a vector. C(J)=I means row I is assigned to column J, +% i.e. there is an assigned zero in position I,J. +%U - a vector with a linked list of unassigned rows. + +% v1.0 96-06-14. Niclas Borlin, niclas@cs.umu.se. + +[n,np1]=size(A); + +% Initalize return vectors. +C=zeros(1,n); +U=zeros(1,n+1); + +% Initialize last/next zero "pointers". +LZ=zeros(1,n); +NZ=zeros(1,n); + +for i=1:n + % Set j to first unassigned zero in row i. + lj=n+1; + j=-A(i,lj); + + % Repeat until we have no more zeros (j==0) or we find a zero + % in an unassigned column (c(j)==0). + + while (C(j)~=0) + % Advance lj and j in zero list. + lj=j; + j=-A(i,lj); + + % Stop if we hit end of list. + if (j==0) + break; + end + end + + if (j~=0) + % We found a zero in an unassigned column. + + % Assign row i to column j. + C(j)=i; + + % Remove A(i,j) from unassigned zero list. + A(i,lj)=A(i,j); + + % Update next/last unassigned zero pointers. + NZ(i)=-A(i,j); + LZ(i)=lj; + + % Indicate A(i,j) is an assigned zero. + A(i,j)=0; + else + % We found no zero in an unassigned column. + + % Check all zeros in this row. + + lj=n+1; + j=-A(i,lj); + + % Check all zeros in this row for a suitable zero in another row. + while (j~=0) + % Check the in the row assigned to this column. + r=C(j); + + % Pick up last/next pointers. + lm=LZ(r); + m=NZ(r); + + % Check all unchecked zeros in free list of this row. + while (m~=0) + % Stop if we find an unassigned column. + if (C(m)==0) + break; + end + + % Advance one step in list. + lm=m; + m=-A(r,lm); + end + + if (m==0) + % We failed on row r. Continue with next zero on row i. + lj=j; + j=-A(i,lj); + else + % We found a zero in an unassigned column. + + % Replace zero at (r,m) in unassigned list with zero at (r,j) + A(r,lm)=-j; + A(r,j)=A(r,m); + + % Update last/next pointers in row r. + NZ(r)=-A(r,m); + LZ(r)=j; + + % Mark A(r,m) as an assigned zero in the matrix . . . + A(r,m)=0; + + % ...and in the assignment vector. + C(m)=r; + + % Remove A(i,j) from unassigned list. + A(i,lj)=A(i,j); + + % Update last/next pointers in row r. + NZ(i)=-A(i,j); + LZ(i)=lj; + + % Mark A(r,m) as an assigned zero in the matrix . . . + A(i,j)=0; + + % ...and in the assignment vector. + C(j)=i; + + % Stop search. + break; + end + end + end +end + +% Create vector with list of unassigned rows. + +% Mark all rows have assignment. +r=zeros(1,n); +rows=C(C~=0); +r(rows)=rows; +empty=find(r==0); + +% Create vector with linked list of unassigned rows. +U=zeros(1,n+1); +U([n+1 empty])=[empty 0]; + + +function [A,C,U]=hmflip(A,C,LC,LR,U,l,r) +%HMFLIP Flip assignment state of all zeros along a path. +% +%[A,C,U]=hmflip(A,C,LC,LR,U,l,r) +%Input: +%A - the cost matrix. +%C - the assignment vector. +%LC - the column label vector. +%LR - the row label vector. +%U - the +%r,l - position of last zero in path. +%Output: +%A - updated cost matrix. +%C - updated assignment vector. +%U - updated unassigned row list vector. + +% v1.0 96-06-14. Niclas Borlin, niclas@cs.umu.se. + +n=size(A,1); + +while (1) + % Move assignment in column l to row r. + C(l)=r; + + % Find zero to be removed from zero list.. + + % Find zero before this. + m=find(A(r,:)==-l); + + % Link past this zero. + A(r,m)=A(r,l); + + A(r,l)=0; + + % If this was the first zero of the path.. + if (LR(r)<0) + ...remove row from unassigned row list and return. + U(n+1)=U(r); + U(r)=0; + return; + else + + % Move back in this row along the path and get column of next zero. + l=LR(r); + + % Insert zero at (r,l) first in zero list. + A(r,l)=A(r,n+1); + A(r,n+1)=-l; + + % Continue back along the column to get row of next zero in path. + r=LC(l); + end +end + + +function [A,CH,RH]=hmreduce(A,CH,RH,LC,LR,SLC,SLR) +%HMREDUCE Reduce parts of cost matrix in the Hungerian method. +% +%[A,CH,RH]=hmreduce(A,CH,RH,LC,LR,SLC,SLR) +%Input: +%A - Cost matrix. +%CH - vector of column of 'next zeros' in each row. +%RH - vector with list of unexplored rows. +%LC - column labels. +%RC - row labels. +%SLC - set of column labels. +%SLR - set of row labels. +% +%Output: +%A - Reduced cost matrix. +%CH - Updated vector of 'next zeros' in each row. +%RH - Updated vector of unexplored rows. + +% v1.0 96-06-14. Niclas Borlin, niclas@cs.umu.se. + +n=size(A,1); + +% Find which rows are covered, i.e. unlabelled. +coveredRows=LR==0; + +% Find which columns are covered, i.e. labelled. +coveredCols=LC~=0; + +r=find(~coveredRows); +c=find(~coveredCols); + +% Get minimum of uncovered elements. +m=min(min(A(r,c))); + +% Subtract minimum from all uncovered elements. +A(r,c)=A(r,c)-m; + +% Check all uncovered columns.. +for j=c + % ...and uncovered rows in path order.. + for i=SLR + % If this is a (new) zero.. + if (A(i,j)==0) + % If the row is not in unexplored list.. + if (RH(i)==0) + % ...insert it first in unexplored list. + RH(i)=RH(n+1); + RH(n+1)=i; + % Mark this zero as "next free" in this row. + CH(i)=j; + end + % Find last unassigned zero on row I. + row=A(i,:); + colsInList=-row(row<0); + if (length(colsInList)==0) + % No zeros in the list. + l=n+1; + else + l=colsInList(row(colsInList)==0); + end + % Append this zero to end of list. + A(i,l)=-j; + end + end +end + +% Add minimum to all doubly covered elements. +r=find(coveredRows); +c=find(coveredCols); + +% Take care of the zeros we will remove. +[i,j]=find(A(r,c)<=0); + +i=r(i); +j=c(j); + +for k=1:length(i) + % Find zero before this in this row. + lj=find(A(i(k),:)==-j(k)); + % Link past it. + A(i(k),lj)=A(i(k),j(k)); + % Mark it as assigned. + A(i(k),j(k))=0; +end + +A(r,c)=A(r,c)+m; diff --git a/sourcecodes/bnt-master/KPMtools/image_rgb.m b/sourcecodes/bnt-master/KPMtools/image_rgb.m new file mode 100644 index 00000000..e8d65883 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/image_rgb.m @@ -0,0 +1,36 @@ +function image_rgb(M) +% Show a matrix of integers as a color image. +% This is like imagesc, except we know what the mapping is from integer to color. +% If entries of M contain integers in {1,2,3}, we map +% this to red/green/blue + +cmap = [1 0 0; % red + 0 1 0; % green + 0 0 1; % blue + 127/255 1 212/255]; % aquamarine +image(M) +set(gcf,'colormap', cmap); + +if 1 + % make dummy handles, one per object type, for the legend + str = {}; + for i=1:size(cmap,1) + dummy_handle(i) = line([0 0.1], [0 0.1]); + set(dummy_handle(i), 'color', cmap(i,:)); + set(dummy_handle(i), 'linewidth', 2); + str{i} = num2str(i); + end + legend(dummy_handle, str, -1); +end + +if 0 +[nrows ncols] = size(M); +img = zeros(nrows, ncols, 3); +for r=1:nrows + for c=1:ncols + q = M(r,c); + img(r,c,q) = 1; + end +end +image(img) +end diff --git a/sourcecodes/bnt-master/KPMtools/imresizeAspect.m b/sourcecodes/bnt-master/KPMtools/imresizeAspect.m new file mode 100644 index 00000000..a69a2de4 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/imresizeAspect.m @@ -0,0 +1,44 @@ +function img = imresizeAspect(img, maxSize) +% function img = imresizeAspect(img, maxSize) +% If image is larger than max size, reduce size, preserving aspect ratio of input. +% +% If size(input) = [y x] and maxSize = [yy xx], +% then size(output) is given by the following (where a=y/x) +% if y + +void rbinary(int num, int n, double *rbits){ + int i, mask; + num = num - 1; + + mask = 1 << (n-1); /* mask = 00100...0 , where the 1 is in column n (rightmost = col 1) */ + for (i = 0; i < n; i++) { + rbits[n-i-1] = ((num & mask) == 0) ? 1 : 2; + num <<= 1; + } +} + +void ind_subv(int num, const double *sizes, int n, double *rbits){ + int i; + int *cumprod; + + cumprod = malloc(n * sizeof(int)); + num = num - 1; + cumprod[0] = 1; + for (i = 0; i < n-1; i++) + cumprod[i+1] = cumprod[i] * (int)sizes[i]; + for (i = n-1; i >= 0; i--) { + rbits[i] = ((int)floor(num / cumprod[i])) + 1; + num = num % cumprod[i]; + } + free(cumprod); +} + + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]){ + int i, j, k, nCol, nRow, nnRow, binary, count, temp, temp1, start; + double *pSize, *pNdx, *pr; + double ndx; + int *subv, *cumprod, *templai; + + pSize = mxGetPr(prhs[0]); + pNdx = mxGetPr(prhs[1]); + nCol = mxGetNumberOfElements(prhs[0]); + nnRow = mxGetNumberOfElements(prhs[1]); + + nRow = 1; + for(i=0; i 2.0){ + binary = 0; + break; + } + else if((int)pSize[i] == 1){ + binary = 1; + } + } + + if(nnRow == 1){ + ndx = mxGetScalar(prhs[1]); + plhs[0] = mxCreateDoubleMatrix(1, nCol, mxREAL); + pr = mxGetPr(plhs[0]); + if(binary == 2)rbinary((int)ndx, nCol, pr); + else ind_subv((int)ndx, pSize, nCol, pr); + return; + } + + plhs[0] = mxCreateDoubleMatrix(nnRow, nCol, mxREAL); + pr = mxGetPr(plhs[0]); + + subv = malloc(nRow * nCol * sizeof(int)); + + if (binary == 2) { + for(j=0; j> k; + } + for(j=0; j 2) temp = 1; + for(k=0; k (int)pSize[j]) temp = 1; + for(k=0; k= 0 for any vector v. +% We do this by checking that all the eigenvalues are non-negative. + +E = eig(M); +if length(find(E>=0)) == length(E) + b = 1; +else + b = 0; +end diff --git a/sourcecodes/bnt-master/KPMtools/is_stochastic.m b/sourcecodes/bnt-master/KPMtools/is_stochastic.m new file mode 100644 index 00000000..4169f2cd --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/is_stochastic.m @@ -0,0 +1,5 @@ +function p = is_stochastic(T) +% IS_STOCHASTIC Is the argument a stochastic matrix, i.e., the sum over the last dimension is 1. +% p = is_stochastic(T) + +p = approxeq(T, mk_stochastic(T)); diff --git a/sourcecodes/bnt-master/KPMtools/isemptycell.m b/sourcecodes/bnt-master/KPMtools/isemptycell.m new file mode 100644 index 00000000..a8e5f943 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/isemptycell.m @@ -0,0 +1,16 @@ +function E = isemptycell(C) +% ISEMPTYCELL Apply the isempty function to each element of a cell array +% E = isemptycell(C) +% +% This is equivalent to E = cellfun('isempty', C), +% where cellfun is a function built-in to matlab version 5.3 or newer. + +if 0 % all(version('-release') >= 12) + E = cellfun('isempty', C); +else + E = zeros(size(C)); + for i=1:prod(size(C)) + E(i) = isempty(C{i}); + end + E = logical(E); +end diff --git a/sourcecodes/bnt-master/KPMtools/isequalKPM.m b/sourcecodes/bnt-master/KPMtools/isequalKPM.m new file mode 100644 index 00000000..2a6a2587 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/isequalKPM.m @@ -0,0 +1,7 @@ +function p = isequalKPM(a,b) + +if isempty(a) & isempty(b) + p = 1; +else + p = isequal(a,b); +end diff --git a/sourcecodes/bnt-master/KPMtools/isposdef.m b/sourcecodes/bnt-master/KPMtools/isposdef.m new file mode 100644 index 00000000..56f61967 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/isposdef.m @@ -0,0 +1,9 @@ +function b = isposdef(a) +% ISPOSDEF Test for positive definite matrix. +% ISPOSDEF(A) returns 1 if A is positive definite, 0 otherwise. +% Using chol is much more efficient than computing eigenvectors. + +% From Tom Minka's lightspeed toolbox + +[R,p] = chol(a); +b = (p == 0); diff --git a/sourcecodes/bnt-master/KPMtools/isscalarBNT.m b/sourcecodes/bnt-master/KPMtools/isscalarBNT.m new file mode 100644 index 00000000..557d169d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/isscalarBNT.m @@ -0,0 +1,5 @@ +function p = isscalarBNT(v) +% ISSCALAR Returns 1 if all dimensions have size 1. +% p = isscalar(v) + +p = (prod(size(v))==1); diff --git a/sourcecodes/bnt-master/KPMtools/isvectorBNT.m b/sourcecodes/bnt-master/KPMtools/isvectorBNT.m new file mode 100644 index 00000000..5bb367a6 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/isvectorBNT.m @@ -0,0 +1,9 @@ +function p = isvectorBNT(v) +% ISVECTOR Returns 1 if all but one dimension have size 1. +% p = isvector(v) +% +% Example: isvector(rand(1,2,1)) = 1, isvector(rand(2,2)) = 0. + +s=size(v); +p = (ndims(v)<=2) & (s(1) == 1 | s(2) == 1); +%p = sum( size(v) > 1) <= 1; % Peter Acklam's solution diff --git a/sourcecodes/bnt-master/KPMtools/junk.c b/sourcecodes/bnt-master/KPMtools/junk.c new file mode 100644 index 00000000..13624021 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/junk.c @@ -0,0 +1,67 @@ + + m = mxGetM(prhs[0]); + n = mxGetN(prhs[0]); + pr = mxGetPr(prhs[0]); + pi = mxGetPi(prhs[0]); + cmplx = (pi == NULL ? 0 : 1); + + /* Allocate space for sparse matrix. + * NOTE: Assume at most 20% of the data is sparse. Use ceil + * to cause it to round up. + */ + + percent_sparse = 0.2; + nzmax = (int)ceil((double)m*(double)n*percent_sparse); + + plhs[0] = mxCreateSparse(m,n,nzmax,cmplx); + sr = mxGetPr(plhs[0]); + si = mxGetPi(plhs[0]); + irs = mxGetIr(plhs[0]); + jcs = mxGetJc(plhs[0]); + + /* Copy nonzeros. */ + k = 0; + isfull = 0; + for (j = 0; (j < n); j++) { + int i; + jcs[j] = k; + for (i = 0; (i < m); i++) { + if (IsNonZero(pr[i]) || (cmplx && IsNonZero(pi[i]))) { + + /* Check to see if non-zero element will fit in + * allocated output array. If not, increase + * percent_sparse by 10%, recalculate nzmax, and augment + * the sparse array. + */ + if (k >= nzmax) { + int oldnzmax = nzmax; + percent_sparse += 0.1; + nzmax = (int)ceil((double)m*(double)n*percent_sparse); + + /* Make sure nzmax increases atleast by 1. */ + if (oldnzmax == nzmax) + nzmax++; + + mxSetNzmax(plhs[0], nzmax); + mxSetPr(plhs[0], mxRealloc(sr, nzmax*sizeof(double))); + if (si != NULL) + mxSetPi(plhs[0], mxRealloc(si, nzmax*sizeof(double))); + mxSetIr(plhs[0], mxRealloc(irs, nzmax*sizeof(int))); + + sr = mxGetPr(plhs[0]); + si = mxGetPi(plhs[0]); + irs = mxGetIr(plhs[0]); + } + sr[k] = pr[i]; + if (cmplx) { + si[k] = pi[i]; + } + irs[k] = i; + k++; + } + } + pr += m; + pi += m; + } + jcs[n] = k; +} diff --git a/sourcecodes/bnt-master/KPMtools/loadcell.m b/sourcecodes/bnt-master/KPMtools/loadcell.m new file mode 100644 index 00000000..85691854 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/loadcell.m @@ -0,0 +1,153 @@ +function [lc,dflag,dattype]=loadcell(fname,delim,exclusions,options); +%function [lc,dflag,numdata]=loadcell(fname,delim,exclusions); +% +% loadcell loads a cell array with character delimited +% data, which can have variable length lines and content. +% Numeric values are converted from string to double +% unless options is a string containing 'string'. +% +% loadcell is for use with small datasets. It is not optimised +% for large datasets. +% +% fname is the filename to be loaded +% +% delim is/are the relevant delimiter(s). If char(10) is included +% newlines are simply treated as delimiters and a 1-d array is created. +% +% exclusions are the set of characters to be treated as paired +% braces: line ends or delimiters within braces are ignored. +% braces are single characters and any brace can pair with +% any other brace: no type pair checking is done. +% +% options can be omitted or can contain 'string' if no numeric +% conversion is required, 'single' if multiple adjacent seperators +% should not be treated as one, 'free' if all linefeeds should be stripped +% first and 'empty2num' if empty fields are to be treated as numeric +% zeros rather than an empty character set. Combine options using +% concatenation. +% +% lc is a cell array containing the loaded data. +% +% dflag is a set of flags denoting the (i,j) values where data was entered +% dflag(i,j)=1 implies lc(i,j) was loaded from the data, and not just set +% to empty, say, by default. +% +% numdata is an array numdata(i,j)=NaN implies +% lc(i,j) is a string, otherwise it stores the number at i,j. +% This will occur regardless of whether the 'string' option is set. +% +% lc will return -1 if the file is not found or could not be +% opened. +% +% Hint: numdata+(1/dflag-1) provides a concise descriptor for the numeric data +% Inf=not loaded +% NaN=was string or empty set. +% otherwise numeric +% +% EXAMPLE +% +%[a,b]=loadcell('resultsfile',[',' char(9)],'"','single-string'); +% will load file 'resultsfile' into variable a, treating any of tab or +% comma as delimiters. Delimiters or carriage returns lying +% between two double inverted commas will be ignored. Two adjacent delimiters +% will count twice, and all data will be kept as a string. +% +% Note: in space-separated data 'single' would generally be omitted, +% wheras in comma-seperated data it would be included. +% +% Note the exclusion characters will remain in the final data, and any data +% contained within or containing exclusion characters will not be +% converted to numerics. +% +% (c) Amos Storkey 2002 +% v b160702 + +% MATLAB is incapable of loading variable length lines or variable type values +% with a whole file command under the standard library sets. This mfile +% fills that gap. +if (nargin<4) + options=' '; +end; +dflag = []; +%Open file +fid=fopen(fname,'rt'); +%Cannot open: return -1 +if (fid<0) + lc=-1; +else + fullfile=fread(fid,'uchar=>char')'; + %Strip LF if free is set + if ~isempty(findstr(options,'free')) + fullfile=strrep(fullfile,char(10),''); + end; + %Find all delimiters + delimpos=[]; + for s=1:length(delim) + delimpos=[delimpos find(fullfile==delim(s))]; + end + %Find all eol + endpos=find(fullfile==char(10)); + endpos=setdiff(endpos,delimpos); + %find all exclusions + xclpos=[]; + for s=1:length(exclusions); + xclpos=[xclpos find(fullfile==exclusions(s))]; + end + sort(xclpos); + xclpos=[xclpos(1:2:end-1);xclpos(2:2:end)]; + %Combine eol and delimiters + jointpos=union(delimpos,endpos); + t=1; + %Remove delim/eol within exclusion pairs + removedelim=[]; + for s=1:length(jointpos) + if any((jointpos(s)>xclpos(1,:)) & (jointpos(s)a2 +% If a1 ~ a2, and a1>a2, then e^(a2-a1) is exp(small negative number), +% which can be computed without underflow. + +% Same as logsumexp, except we assume a is a vector. +% This avoids a call to repmat, which takes 50% of the time! + +a = a(:)'; % make row vector +m = max(a); +b = a - m*ones(1,length(a)); +s = m + log(sum(exp(b))); + diff --git a/sourcecodes/bnt-master/KPMtools/mahal2conf.m b/sourcecodes/bnt-master/KPMtools/mahal2conf.m new file mode 100644 index 00000000..e5535748 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mahal2conf.m @@ -0,0 +1,60 @@ +% MAHAL2CONF - Translates a Mahalanobis distance into a confidence +% interval. Consider a multivariate Gaussian +% distribution of the form +% +% p(x) = 1/sqrt((2 * pi)^d * det(C)) * exp((-1/2) * MD(x, m, inv(C))) +% +% where MD(x, m, P) is the Mahalanobis distance from x +% to m under P: +% +% MD(x, m, P) = (x - m) * P * (x - m)' +% +% A particular Mahalanobis distance k identifies an +% ellipsoid centered at the mean of the distribution. +% The confidence interval associated with this ellipsoid +% is the probability mass enclosed by it. +% +% If X is an d dimensional Gaussian-distributed vector, +% then the Mahalanobis distance of X is distributed +% according to the Chi-squared distribution with d +% degrees of freedom. Thus, the confidence interval is +% determined by integrating the chi squared distribution +% up to the Mahalanobis distance of the measurement. +% +% Usage: +% +% c = mahal2conf(m, d); +% +% Inputs: +% +% m - the Mahalanobis radius of the ellipsoid +% d - the number of dimensions of the Gaussian distribution +% +% Outputs: +% +% c - the confidence interval, i.e., the fraction of +% probability mass enclosed by the ellipsoid with the +% supplied Mahalanobis distance +% +% See also: CONF2MAHAL + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function c = mahal2conf(m, d) + +c = chi2cdf(m, d); \ No newline at end of file diff --git a/sourcecodes/bnt-master/KPMtools/marg_table.m b/sourcecodes/bnt-master/KPMtools/marg_table.m new file mode 100644 index 00000000..0f1e5be5 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/marg_table.m @@ -0,0 +1,27 @@ +function smallT = marg_table(bigT, bigdom, bigsz, onto, maximize) +% MARG_TABLE Marginalize a table +% smallT = marg_table(bigT, bigdom, bigsz, onto, maximize) + +if nargin < 5, maximize = 0; end + + +smallT = myreshape(bigT, bigsz); % make sure it is a multi-dim array +sum_over = mysetdiff(bigdom, onto); +ndx = find_equiv_posns(sum_over, bigdom); +if maximize + for i=1:length(ndx) + smallT = max(smallT, [], ndx(i)); + end +else + for i=1:length(ndx) + smallT = sum(smallT, ndx(i)); + end +end + + +ns = zeros(1, max(bigdom)); +%ns(bigdom) = mysize(bigT); % ignores trailing dimensions of size 1 +ns(bigdom) = bigsz; + +smallT = squeeze(smallT); % remove all dimensions of size 1 +smallT = myreshape(smallT, ns(onto)); % put back relevant dims of size 1 diff --git a/sourcecodes/bnt-master/KPMtools/marginalize_table.m b/sourcecodes/bnt-master/KPMtools/marginalize_table.m new file mode 100644 index 00000000..adc5443c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/marginalize_table.m @@ -0,0 +1,50 @@ +function smallT = marginalize_table(bigT, bigdom, bigsz, onto, maximize) +% MARG_TABLE Marginalize a table +% function smallT = marginalize_table(bigT, bigdom, bigsz, onto, maximize) + +% Like marg_table in BNT, except we do not assume the domains are sorted + +if nargin < 5, maximize = 0; end + + +smallT = myreshape(bigT, bigsz); % make sure it is a multi-dim array +sum_over = mysetdiff(bigdom, onto); +ndx = find_equiv_posns(sum_over, bigdom); +if maximize + for i=1:length(ndx) + smallT = max(smallT, [], ndx(i)); + end +else + for i=1:length(ndx) + smallT = sum(smallT, ndx(i)); + end +end + + +ns = zeros(1, max(bigdom)); +%ns(bigdom) = mysize(bigT); % ignores trailing dimensions of size 1 +ns(bigdom) = bigsz; + +% If onto has a different ordering than bigdom, the following +% will produce the wrong results + +%smallT = squeeze(smallT); % remove all dimensions of size 1 +%smallT = myreshape(smallT, ns(onto)); % put back relevant dims of size 1 + +% so permute dimensions to match desired ordering (as specified by onto) + + +% like find_equiv_posns, but keeps ordering +outdom = [onto sum_over]; +for i=1:length(outdom) + j = find(bigdom==outdom(i)); + match(i) = j; +end +outdom = [onto sum_over]; +for i=1:length(outdom) + j = find(bigdom==outdom(i)); + match(i) = j; +end +if match ~= 1 + smallT = permute(smallT, match); +end diff --git a/sourcecodes/bnt-master/KPMtools/matprint.m b/sourcecodes/bnt-master/KPMtools/matprint.m new file mode 100644 index 00000000..e05c5f40 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/matprint.m @@ -0,0 +1,36 @@ +% MATPRINT - prints a matrix with specified format string +% +% Usage: matprint(a, fmt, fid) +% +% a - Matrix to be printed. +% fmt - C style format string to use for each value. +% fid - Optional file id. +% +% Eg. matprint(a,'%3.1f') will print each entry to 1 decimal place + +% Peter Kovesi +% School of Computer Science & Software Engineering +% The University of Western Australia +% pk @ csse uwa edu au +% http://www.csse.uwa.edu.au/~pk +% +% March 2002 + +function matprint(a, fmt, fid) + + if nargin < 3 + fid = 1; + end + + [rows,cols] = size(a); + + % Construct a format string for each row of the matrix consisting of + % 'cols' copies of the number formating specification + fmtstr = []; + for c = 1:cols + fmtstr = [fmtstr, ' ', fmt]; + end + fmtstr = [fmtstr '\n']; % Add a line feed + + fprintf(fid, fmtstr, a'); % Print the transpose of the matrix because + % fprintf runs down the columns of a matrix. \ No newline at end of file diff --git a/sourcecodes/bnt-master/KPMtools/max_mult.c b/sourcecodes/bnt-master/KPMtools/max_mult.c new file mode 100644 index 00000000..204fd956 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/max_mult.c @@ -0,0 +1,46 @@ +/* C mex version of max_mult.m in BPMRF2 directory */ +/* gcc -Wall -I/mit/matlab_v6.5/distrib/bin/glnx86 -c max_mult.c */ + +#include +#include "mex.h" + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + int rows,cols,common,m,n,p; + double y1, y2; + double *arr1, *arr2, *arr3; + + + if (nrhs!=2 || nlhs>1) + mexErrMsgTxt("max_mult requires two inputs and one output"); + if (mxIsChar(prhs[0]) || mxIsClass(prhs[0], "sparse") || mxIsComplex(prhs[0]) + || mxIsChar(prhs[1]) || mxIsClass(prhs[1], "sparse") || mxIsComplex(prhs[1])) + mexErrMsgTxt("Inputs must be real, full, and nonstring"); + if (mxGetN(prhs[0])!=mxGetM(prhs[1])) + mexErrMsgTxt("The number of columns of A must be the same as the number of rows of x"); + + + arr1=mxGetPr(prhs[0]); + arr2=mxGetPr(prhs[1]); + p=mxGetN(prhs[0]); + m=mxGetM(prhs[0]); + n=mxGetN(prhs[1]); + plhs[0]=mxCreateDoubleMatrix(m, n, mxREAL); + arr3=mxMalloc(m*n*sizeof(double)); + + for (rows=0; rowsy1) + y1=y2; + } + arr3[rows+cols*m]=y1; + } + + mxSetPr(plhs[0], arr3); + +} diff --git a/sourcecodes/bnt-master/KPMtools/max_mult.m b/sourcecodes/bnt-master/KPMtools/max_mult.m new file mode 100644 index 00000000..fab37e3a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/max_mult.m @@ -0,0 +1,21 @@ +function y=max_mult(A,x) +% MAX_MULT Like matrix multiplication, but sum gets replaced by max +% function y=max_mult(A,x) y(i) = max_j A(i,j) x(j) + +%X=ones(size(A,1),1) * x(:)'; % X(j,i) = x(i) +%y=max(A.*X, [], 2); + +% This is faster +if size(x,2)==1 + X=x*ones(1,size(A,1)); % X(i,j) = x(i) + y=max(A'.*X)'; +else +%this works for arbitrarily sized A and x (but is ugly, and slower than above) + X=repmat(x, [1 1 size(A,1)]); + B=repmat(A, [1 1 size(x,2)]); + C=permute(B,[2 3 1]); + y=permute(max(C.*X),[3 2 1]); +% this is even slower, as is using squeeze instead of permute +% Y=permute(X, [3 1 2]); +% y=permute(max(Y.*B, [], 2), [1 3 2]); +end diff --git a/sourcecodes/bnt-master/KPMtools/mexutil.c b/sourcecodes/bnt-master/KPMtools/mexutil.c new file mode 100644 index 00000000..b2bd3e7d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mexutil.c @@ -0,0 +1,43 @@ +#include "mexutil.h" + +/* Functions to create uninitialized arrays. */ + +mxArray *mxCreateNumericArrayE(int ndim, const int *dims, + mxClassID class, mxComplexity ComplexFlag) +{ + mxArray *a; + int i, *dims1 = mxMalloc(ndim*sizeof(int)); + size_t sz = 1; + for(i=0;i 0 + h = hh; +end + +%-------------------------------------------------------------- +%Parse Inputs Function + +function [I,map] = parse_inputs(varargin) + +% initialize variables +map = []; + +iptchecknargin(1,2,nargin,mfilename); +iptcheckinput(varargin{1},{'uint8' 'double' 'uint16' 'logical' 'single' ... + 'int16'},{},mfilename, 'I, BW, or RGB',1); +I = varargin{1}; + +if nargin==2 + if isa(I,'int16') + eid = sprintf('Images:%s:invalidIndexedImage',mfilename); + msg1 = 'An indexed image can be uint8, uint16, double, single, or '; + msg2 = 'logical.'; + error(eid,'%s %s',msg1, msg2); + end + map = varargin{2}; + iptcheckinput(map,{'double'},{},mfilename,'MAP',1); + if ((size(map,1) == 1) && (prod(map) == numel(I))) + % MONTAGE(D,[M N P]) OBSOLETE + eid = sprintf('Images:%s:obsoleteSyntax',mfilename); + msg1 = 'MONTAGE(D,[M N P]) is an obsolete syntax.'; + msg2 = 'Use multidimensional arrays to represent multiframe images.'; + error(eid,'%s\n%s',msg1,msg2); + end +end diff --git a/sourcecodes/bnt-master/KPMtools/montageKPM2.m b/sourcecodes/bnt-master/KPMtools/montageKPM2.m new file mode 100644 index 00000000..1bd521a9 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/montageKPM2.m @@ -0,0 +1,69 @@ +function montageKPM2(data) +% data(y,x,b,f) or data(y,x,f) +% can be double - uses imagesc to display, not imshow +% based on imaqmontage + +if ndims(data)==3 + nr = size(data,1); nc = size(data,2); Npatches = size(data,3); Nbands = 1; + data = reshape(data, [nr nc Nbands Npatches]); +else + nr = size(data,1); nc = size(data,2); Nbands = size(data,3); Npatches = size(data,4); +end +nativeVal = data(1, 1); +dataOrig = data; + +%put a black border around them for display purposes +border = 5; +bgColor = min(data(:)); +%bgColor = max(data(:)); +data = bgColor*ones(nr+2*border, nc+2*border, Nbands, Npatches, class(data)); +data(border+1:end-border, border+1:end-border, :, :) = dataOrig; + +[width, height, bands, nFrames] = size(data); + +% Determine the number of axis rows and columns. +axCols = sqrt(nFrames); +if (axCols<1) + % In case we have a slim image. + axCols = 1; +end +axRows = nFrames/axCols; +if (ceil(axCols)-axCols) < (ceil(axRows)-axRows), + axCols = ceil(axCols); + axRows = ceil(nFrames/axCols); +else + axRows = ceil(axRows); + axCols = ceil(nFrames/axRows); +end + +% Size the storage to hold all frames. +storage = repmat(nativeVal, [axRows*width, axCols*height, bands, 1]); + +% Fill the storage up with data pixels. +rows = 1:width; +cols = 1:height; +for i=0:axRows-1, + for j=0:axCols-1, + k = j+i*axCols+1; + if k<=nFrames, + storage(rows+i*width, cols+j*height, :) = data(:,:,:,k); + else + break; + end + end +end + + +% Display the tiled frames nicely and +% pop the window forward. +im = imagesc(storage); + +ax = get(im, 'Parent'); +fig = get(ax, 'Parent'); +set(ax, 'XTick', [], 'YTick', []) +figure(fig) + +% If working with single band images, update the colormap. +if 0 % bands==1, + colormap(gray); +end diff --git a/sourcecodes/bnt-master/KPMtools/montageKPM3.m b/sourcecodes/bnt-master/KPMtools/montageKPM3.m new file mode 100644 index 00000000..fb2d540a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/montageKPM3.m @@ -0,0 +1,5 @@ +function montageKPM3(data) +% data{f}(y,x,b) - each frame can have a different size (can can even be empty) + +data2 = cell2matPad(data); +montageKPM2(data2) diff --git a/sourcecodes/bnt-master/KPMtools/mult_by_table.m b/sourcecodes/bnt-master/KPMtools/mult_by_table.m new file mode 100644 index 00000000..a92e340f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mult_by_table.m @@ -0,0 +1,7 @@ +function bigT = mult_by_table(bigT, bigdom, bigsz, smallT, smalldom, smallsz) +% MULT_BY_TABLE +% bigT = mult_by_table(bigT, bigdom, bigsz, smallT, smalldom, smallsz) +% + +Ts = extend_domain_table(smallT, smalldom, smallsz, bigdom, bigsz); +bigT(:) = bigT(:) .* Ts(:); % must have bigT(:) on LHS to preserve shape diff --git a/sourcecodes/bnt-master/KPMtools/myintersect.m b/sourcecodes/bnt-master/KPMtools/myintersect.m new file mode 100644 index 00000000..c1886efb --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myintersect.m @@ -0,0 +1,28 @@ +function C = myintersect(A,B) +% MYINTERSECT Intersection of two sets of positive integers (much faster than built-in intersect) +% C = myintersect(A,B) + +A = A(:)'; B = B(:)'; + +if isempty(A) + ma = 0; +else + ma = max(A); +end + +if isempty(B) + mb = 0; +else + mb = max(B); +end + +if ma==0 || mb==0 + C = []; +else + %bits = sparse(1, max(ma,mb)); + bits = zeros(1, max(ma,mb)); + bits(A) = 1; + C = B(logical(bits(B))); +end + +%sum( bitget( bitand( cliquesb(i), cliquesb(j) ), 1:52 ) ); diff --git a/sourcecodes/bnt-master/KPMtools/myismember.m b/sourcecodes/bnt-master/KPMtools/myismember.m new file mode 100644 index 00000000..d339bb42 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myismember.m @@ -0,0 +1,18 @@ +function p = myismember(a,A) +% MYISMEMBER Is 'a' an element of a set of positive integers? (much faster than built-in ismember) +% p = myismember(a,A) + +%if isempty(A) | a < min(A) | a > max(A) % slow + +if length(A)==0 + p = 0; +elseif a < min(A) + p = 0; +elseif a > max(A) + p = 0; +else + bits = zeros(1, max(A)); + bits(A) = 1; + p = bits(a); +end +p = logical(p); diff --git a/sourcecodes/bnt-master/KPMtools/myismember.m~ b/sourcecodes/bnt-master/KPMtools/myismember.m~ new file mode 100644 index 00000000..6c93c11a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myismember.m~ @@ -0,0 +1,17 @@ +function p = myismember(a,A) +% MYISMEMBER Is 'a' an element of a set of positive integers? (much faster than built-in ismember) +% p = myismember(a,A) + +%if isempty(A) | a < min(A) | a > max(A) % slow + +if length(A)==0 + p = 0; +elseif a < min(A) + p = 0; +elseif a > max(A) + p = 0; +else + bits = zeros(1, max(A)); + bits(A) = 1; + p = bits(a); +end diff --git a/sourcecodes/bnt-master/KPMtools/myones.m b/sourcecodes/bnt-master/KPMtools/myones.m new file mode 100644 index 00000000..28d18042 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myones.m @@ -0,0 +1,11 @@ +function T = myones(sizes) +% MYONES Like the built-in ones, except myones(k) produces a k*1 vector instead of a k*k matrix, +% T = myones(sizes) + +if length(sizes)==0 + T = 1; +elseif length(sizes)==1 + T = ones(sizes, 1); +else + T = ones(sizes(:)'); +end diff --git a/sourcecodes/bnt-master/KPMtools/myplot.m b/sourcecodes/bnt-master/KPMtools/myplot.m new file mode 100644 index 00000000..0698e485 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myplot.m @@ -0,0 +1,7 @@ +colors = ['r' 'b' 'k' 'g' 'c' 'y' 'm' ... + 'r' 'b' 'k' 'g' 'c' 'y' 'm']; +symbols = ['o' 'x' 's' '>' '<' '^' 'v' ... + '*' 'p' 'h' '+' 'd' 'o' 'x']; +for i=1:length(colors) + styles{i} = sprintf('-%s%s', colors(i), symbols(i)); +end diff --git a/sourcecodes/bnt-master/KPMtools/myrand.m b/sourcecodes/bnt-master/KPMtools/myrand.m new file mode 100644 index 00000000..836b854b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myrand.m @@ -0,0 +1,12 @@ +function T = myrand(sizes) +% MYRAND Like the built-in rand, except myrand(k) produces a k*1 vector instead of a k*k matrix, +% T = myrand(sizes) + +if length(sizes)==0 + warning('myrand[]'); + T = rand(1,1); +elseif length(sizes)==1 + T = rand(sizes, 1); +else + T = rand(sizes); +end diff --git a/sourcecodes/bnt-master/KPMtools/myrepmat.m b/sourcecodes/bnt-master/KPMtools/myrepmat.m new file mode 100644 index 00000000..830dbf41 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myrepmat.m @@ -0,0 +1,9 @@ +function T = myrepmat(T, sizes) +% MYREPMAT Like the built-in repmat, except myrepmat(T,n) == repmat(T,[n 1]) +% T = myrepmat(T, sizes) + +if length(sizes)==1 + T = repmat(T, [sizes 1]); +else + T = repmat(T, sizes(:)'); +end diff --git a/sourcecodes/bnt-master/KPMtools/myreshape.m b/sourcecodes/bnt-master/KPMtools/myreshape.m new file mode 100644 index 00000000..9613f1dc --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myreshape.m @@ -0,0 +1,11 @@ +function T = myreshape(T, sizes) +% MYRESHAPE Like the built-in reshape, except myreshape(T,n) == reshape(T,[n 1]) +% T = myreshape(T, sizes) + +if length(sizes)==0 + return; +elseif length(sizes)==1 + T = reshape(T, [sizes 1]); +else + T = reshape(T, sizes(:)'); +end diff --git a/sourcecodes/bnt-master/KPMtools/mysetdiff.m b/sourcecodes/bnt-master/KPMtools/mysetdiff.m new file mode 100644 index 00000000..fb647f4e --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mysetdiff.m @@ -0,0 +1,19 @@ +function C = mysetdiff(A,B) +% MYSETDIFF Set difference of two sets of positive integers (much faster than built-in setdiff) +% C = mysetdiff(A,B) +% C = A \ B = { things in A that are not in B } +% +% Original by Kevin Murphy, modified by Leon Peshkin + +if isempty(A) + C = []; + return; +elseif isempty(B) + C = A; + return; +else % both non-empty + bits = zeros(1, max(max(A), max(B))); + bits(A) = 1; + bits(B) = 0; + C = A(logical(bits(A))); +end diff --git a/sourcecodes/bnt-master/KPMtools/mysize.m b/sourcecodes/bnt-master/KPMtools/mysize.m new file mode 100644 index 00000000..40cb659c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mysize.m @@ -0,0 +1,16 @@ +function sz = mysize(M) +% MYSIZE Like the built-in size, except it returns n if M is a vector of length n, and 1 if M is a scalar. +% sz = mysize(M) +% +% The behavior is best explained by examples +% - M = rand(1,1), mysize(M) = 1, size(M) = [1 1] +% - M = rand(2,1), mysize(M) = 2, size(M) = [2 1] +% - M = rand(1,2), mysize(M) = 2, size(M) = [1 2] +% - M = rand(2,2,1), mysize(M) = [2 2], size(M) = [2 2] +% - M = rand(1,2,1), mysize(M) = 2, size(M) = [1 2] + +if isvectorBNT(M) + sz = length(M); +else + sz = size(M); +end diff --git a/sourcecodes/bnt-master/KPMtools/mysubset.m b/sourcecodes/bnt-master/KPMtools/mysubset.m new file mode 100644 index 00000000..a3a2ccd2 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mysubset.m @@ -0,0 +1,11 @@ +function p=mysubset(small,large) +% MYSUBSET Is the small set of +ve integers a subset of the large set? +% p = mysubset(small, large) + +% Surprisingly, this is not built-in. + +if isempty(small) + p = 1; % isempty(large); +else + p = length(myintersect(small,large)) == length(small); +end diff --git a/sourcecodes/bnt-master/KPMtools/mysymsetdiff.m b/sourcecodes/bnt-master/KPMtools/mysymsetdiff.m new file mode 100644 index 00000000..4f143610 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/mysymsetdiff.m @@ -0,0 +1,29 @@ +function C = mysymsetdiff(A,B) +% MYSYMSETDIFF Symmetric set difference of two sets of positive integers (much faster than built-in setdiff) +% C = mysetdiff(A,B) +% C = (A\B) union (B\A) = { things that A and B don't have in common } + +if isempty(A) + ma = 0; +else + ma = max(A); +end + +if isempty(B) + mb = 0; +else + mb = max(B); +end + +if ma==0 + C = B; +elseif mb==0 + C = A; +else % both non-empty + m = max(ma,mb); + bitsA = sparse(1, m); + bitsA(A) = 1; + bitsB = sparse(1, m); + bitsB(B) = 1; + C = find(xor(bitsA, bitsB)); +end diff --git a/sourcecodes/bnt-master/KPMtools/myunion.m b/sourcecodes/bnt-master/KPMtools/myunion.m new file mode 100644 index 00000000..0f358020 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/myunion.m @@ -0,0 +1,29 @@ +function C = myunion(A,B) +% MYUNION Union of two sets of positive integers (much faster than built-in union) +% C = myunion(A,B) + +if isempty(A) + ma = 0; +else + ma = max(A); +end + +if isempty(B) + mb = 0; +else + mb = max(B); +end + +if ma==0 && mb==0 + C = []; +elseif ma==0 && mb>0 + C = B; +elseif ma>0 && mb==0 + C = A; +else + %bits = sparse(1, max(ma,mb)); + bits = zeros(1, max(ma,mb)); + bits(A) = 1; + bits(B) = 1; + C = find(bits); +end diff --git a/sourcecodes/bnt-master/KPMtools/nchoose2.m b/sourcecodes/bnt-master/KPMtools/nchoose2.m new file mode 100644 index 00000000..1827d053 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/nchoose2.m @@ -0,0 +1,35 @@ +function c = nchoose2(v, f) +%NCHOOSE2 All combinations of N elements taken two at a time. +% +% NCHOOSE2(1:N) or NCHOOSEK(V) where V is a vector of length N, +% produces a matrix with N*(N-1)/2 rows and K columns. Each row of +% the result has K of the elements in the vector V. +% +% NCHOOSE2(N,FLAG) is the same as NCHOOSE2(1:N) but faster. +% +% NCHOOSE2(V) is much faster than NCHOOSEK(V,2). +% +% See also NCHOOSEK, PERMS. + +% Author: Peter J. Acklam +% Time-stamp: 2000-03-03 13:03:59 +% E-mail: jacklam@math.uio.no +% URL: http://www.math.uio.no/~jacklam + + nargs = nargin; + if nargs < 1 + error('Not enough input arguments.'); + elseif nargs == 1 + v = v(:); + n = length(v); + elseif nargs == 2 + n = v; + else + error('Too many input arguments.'); + end + + [ c(:,2), c(:,1) ] = find( tril( ones(n), -1 ) ); + + if nargs == 1 + c = v(c); + end diff --git a/sourcecodes/bnt-master/KPMtools/ncols.m b/sourcecodes/bnt-master/KPMtools/ncols.m new file mode 100644 index 00000000..a6fe1352 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/ncols.m @@ -0,0 +1,4 @@ +function c = cols(x) +% COLS The number of columns. +% COLS is a more readable alternative to size(x,2). +c = size(x,2); diff --git a/sourcecodes/bnt-master/KPMtools/nonmaxsup.m b/sourcecodes/bnt-master/KPMtools/nonmaxsup.m new file mode 100644 index 00000000..f94d4560 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/nonmaxsup.m @@ -0,0 +1,42 @@ +% NONMAXSUP - Non-maximal Suppression +% +% Usage: cim = nonmaxsup(im, radius) +% +% Arguments: +% im - image to be processed. +% radius - radius of region considered in non-maximal +% suppression (optional). Typical values to use might +% be 1-3. Default is 1. +% +% Returns: +% cim - image with pixels that are not maximal within a +% square neighborhood zeroed out. + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function cim = nonmaxsup(m, radius) + if (nargin == 1) radius = 1; end + % Extract local maxima by performing a grey scale morphological + % dilation and then finding points in the corner strength image that + % match the dilated image and are also greater than the threshold. + sze = 2 * radius + 1; % Size of mask. + mx = ordfilt2(m, sze^2, ones(sze)); % Grey-scale dilate. + cim = sparse(m .* (m == mx)); + + diff --git a/sourcecodes/bnt-master/KPMtools/normalise.m b/sourcecodes/bnt-master/KPMtools/normalise.m new file mode 100644 index 00000000..c6585921 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/normalise.m @@ -0,0 +1,34 @@ +function [M, z] = normalise(A, dim) +% NORMALISE Make the entries of a (multidimensional) array sum to 1 +% [M, c] = normalise(A) +% c is the normalizing constant +% +% [M, c] = normalise(A, dim) +% If dim is specified, we normalise the specified dimension only, +% otherwise we normalise the whole array. + +if nargin < 2 + z = sum(A(:)); + % Set any zeros to one before dividing + % This is valid, since c=0 => all i. A(i)=0 => the answer should be 0/1=0 + s = z + (z==0); + M = A / s; +elseif dim==1 % normalize each column + z = sum(A); + s = z + (z==0); + %M = A ./ (d'*ones(1,size(A,1)))'; + M = A ./ repmatC(s, size(A,1), 1); +else + % Keith Battocchi - v. slow because of repmat + z=sum(A,dim); + s = z + (z==0); + L=size(A,dim); + d=length(size(A)); + v=ones(d,1); + v(dim)=L; + %c=repmat(s,v); + c=repmat(s,v'); + M=A./c; +end + + diff --git a/sourcecodes/bnt-master/KPMtools/normaliseC.c b/sourcecodes/bnt-master/KPMtools/normaliseC.c new file mode 100644 index 00000000..b0878f28 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/normaliseC.c @@ -0,0 +1,29 @@ +/* C mex version of normalise.m in misc directory */ + +#include "mex.h" + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + double *T, *sum_ptr, sum; + int i, N; + + plhs[0] = mxDuplicateArray(prhs[0]); + T = mxGetPr(plhs[0]); + if(mxIsSparse(plhs[0])) N = mxGetJc(plhs[0])[mxGetN(plhs[0])]; + else N = mxGetNumberOfElements(plhs[0]); + + plhs[1] = mxCreateDoubleMatrix(1, 1, mxREAL); + sum_ptr = mxGetPr(plhs[1]); + + sum = 0; + for (i = 0; i < N; i++) { + sum += *T++; + } + T = mxGetPr(plhs[0]); + if (sum > 0) { + for (i = 0; i < N; i++) { + *T++ /= sum; + } + } + *sum_ptr = sum; +} diff --git a/sourcecodes/bnt-master/KPMtools/normaliseC.dll b/sourcecodes/bnt-master/KPMtools/normaliseC.dll new file mode 100644 index 00000000..dead3669 Binary files /dev/null and b/sourcecodes/bnt-master/KPMtools/normaliseC.dll differ diff --git a/sourcecodes/bnt-master/KPMtools/normalize.m b/sourcecodes/bnt-master/KPMtools/normalize.m new file mode 100644 index 00000000..c6585921 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/normalize.m @@ -0,0 +1,34 @@ +function [M, z] = normalise(A, dim) +% NORMALISE Make the entries of a (multidimensional) array sum to 1 +% [M, c] = normalise(A) +% c is the normalizing constant +% +% [M, c] = normalise(A, dim) +% If dim is specified, we normalise the specified dimension only, +% otherwise we normalise the whole array. + +if nargin < 2 + z = sum(A(:)); + % Set any zeros to one before dividing + % This is valid, since c=0 => all i. A(i)=0 => the answer should be 0/1=0 + s = z + (z==0); + M = A / s; +elseif dim==1 % normalize each column + z = sum(A); + s = z + (z==0); + %M = A ./ (d'*ones(1,size(A,1)))'; + M = A ./ repmatC(s, size(A,1), 1); +else + % Keith Battocchi - v. slow because of repmat + z=sum(A,dim); + s = z + (z==0); + L=size(A,dim); + d=length(size(A)); + v=ones(d,1); + v(dim)=L; + %c=repmat(s,v); + c=repmat(s,v'); + M=A./c; +end + + diff --git a/sourcecodes/bnt-master/KPMtools/nrows.m b/sourcecodes/bnt-master/KPMtools/nrows.m new file mode 100644 index 00000000..a8046995 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/nrows.m @@ -0,0 +1,4 @@ +function r = rows(x) +% ROWS The number of rows. +% ROWS is a more readable alternative to size(x,1). +r = size(x,1); diff --git a/sourcecodes/bnt-master/KPMtools/num2strcell.m b/sourcecodes/bnt-master/KPMtools/num2strcell.m new file mode 100644 index 00000000..a63f86d4 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/num2strcell.m @@ -0,0 +1,16 @@ +function c = num2strcell(n, format) +% num2strcell Convert vector of numbers to cell array of strings +% function c = num2strcell(n, format) +% +% If format is omitted, we use +% c{i} = sprintf('%d', n(i)) + +if nargin < 2, format = '%d'; end + +N = length(n); +c = cell(1,N); +for i=1:N + c{i} = sprintf(format, n(i)); +end + + diff --git a/sourcecodes/bnt-master/KPMtools/optimalMatching.m b/sourcecodes/bnt-master/KPMtools/optimalMatching.m new file mode 100644 index 00000000..a794ba02 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/optimalMatching.m @@ -0,0 +1,90 @@ +% MATCH - Solves the weighted bipartite matching (or assignment) +% problem. +% +% Usage: a = match(C); +% +% Arguments: +% C - an m x n cost matrix; the sets are taken to be +% 1:m and 1:n; C(i, j) gives the cost of matching +% items i (of the first set) and j (of the second set) +% +% Returns: +% +% a - an m x 1 assignment vector, which gives the +% minimum cost assignment. a(i) is the index of +% the item of 1:n that was matched to item i of +% 1:m. If item i (of 1:m) was not matched to any +% item of 1:n, then a(i) is zero. + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [a] = optimalMatching(C) + +% Trivial cases: +[p, q] = size(C); +if (p == 0) + a = []; + return; +elseif (q == 0) + a = zeros(p, 1); + return; +end + + +if 0 +% First, reduce the problem by making easy optimal matches. If two +% elements agree that they are the best match, then match them up. +[x, a] = min(C, [], 2); +[y, b] = min(C, [], 1); +u = find(1:p ~= b(a(:))); +a(u) = 0; +v = find(1:q ~= a(b(:))'); +C = C(u, v); +if (isempty(C)) return; end +end + +% Get the (new) size of the two sets, u and v. +[m, n] = size(C); + +%mx = realmax; +mx = 2*max(C(:)); +mn = -2*min(C(:)); +% Pad the affinity matrix to be square +if (m < n) + C = [C; mx * ones(n - m, n)]; +elseif (n < m) + C = [C, mx * ones(m, m - n)]; +end + +% Run the Hungarian method. First replace infinite values by the +% largest (or smallest) finite values. +C(find(isinf(C) & (C > 0))) = mx; +C(find(isinf(C) & (C < 0))) = mn; +%fprintf('running hungarian\n'); +[b, cost] = hungarian(C'); + +% Extract only the real assignments +ap = b(1:m)'; +ap(find(ap > n)) = 0; + +a = ap; +%% Incorporate this sub-assignment into the complete assignment +% k = find(ap); +% a(u(k)) = v(ap(k)); + diff --git a/sourcecodes/bnt-master/KPMtools/optimalMatchingTest.m b/sourcecodes/bnt-master/KPMtools/optimalMatchingTest.m new file mode 100644 index 00000000..5cb2ce4b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/optimalMatchingTest.m @@ -0,0 +1,18 @@ +% Consider matching sources to detections + +% s1 d2 +% s2 d3 +% d1 + +a = optimalMatching([52;0.01]) + +% sources(:,i) = [x y] coords +sources = [0.1 0.7; 0.6 0.4]'; +detections = [0.2 0.2; 0.2 0.8; 0.7 0.1]'; +dst = sqdist(sources, detections) + +% a = [2 3] which means s1-d2, s2-d3 +a = optimalMatching(dst) + +% a = [0 1 2] which means d1-0, d2-s1, d3-s2 +a = optimalMatching(dst') diff --git a/sourcecodes/bnt-master/KPMtools/partitionData.m b/sourcecodes/bnt-master/KPMtools/partitionData.m new file mode 100644 index 00000000..3e5eb5fa --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/partitionData.m @@ -0,0 +1,25 @@ +function varargout = partitionData(Ndata, varargin) +% PARTITIONDATA Partition a vector of indices into random sets +% [a,b,c,...] = partitionData(N, 0.3, 0.2, 0.5, ...) +% +% Examples: +% [a,b,c]=partitionData(105,0.3,0.2,0.5); +% a= 1:30, b=32:52, c=52:105 (last bin gets all the left over) + +Npartitions = length(varargin); +perm = randperm(Ndata); +%perm = 1:Ndata; +ndx = 1; +for i=1:Npartitions + pc(i) = varargin{i}; + Nbin(i) = fix(Ndata*pc(i)); + low(i) = ndx; + if i==Npartitions + high(i) = Ndata; + else + high(i) = low(i)+Nbin(i)-1; + end + varargout{i} = perm(low(i):high(i)); + ndx = ndx+Nbin(i); +end + diff --git a/sourcecodes/bnt-master/KPMtools/partition_matrix_vec.m b/sourcecodes/bnt-master/KPMtools/partition_matrix_vec.m new file mode 100644 index 00000000..6ac456c5 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/partition_matrix_vec.m @@ -0,0 +1,21 @@ +function [m1, m2, K11, K12, K21, K22] = partition_matrix_vec(m, K, n1, n2, bs) +% PARTITION_MATRIX_VEC Partition a vector and matrix into blocks. +% [m1, m2, K11, K12, K21, K22] = partition_matrix_vec(m, K, blocks1, blocks2, bs) +% +% bs(i) = block size of i'th node +% +% Example: +% n1 = [6 8], n2 = [5], bs = [- - - - 2 1 - 2], where - = don't care +% m = [0.1 0.2 0.3 0.4 0.5], K = some 5*5 matrix, +% So E[X5] = [0.1 0.2], E[X6] = [0.3], E[X8] = [0.4 0.5] +% m1 = [0.3 0.4 0.5], m2 = [0.1 0.2]; + +dom = myunion(n1, n2); +n1i = block(find_equiv_posns(n1, dom), bs(dom)); +n2i = block(find_equiv_posns(n2, dom), bs(dom)); +m1 = m(n1i); +m2 = m(n2i); +K11 = K(n1i, n1i); +K12 = K(n1i, n2i); +K21 = K(n2i, n1i); +K22 = K(n2i, n2i); diff --git a/sourcecodes/bnt-master/KPMtools/pca_kpm.m b/sourcecodes/bnt-master/KPMtools/pca_kpm.m new file mode 100644 index 00000000..d6cbd366 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/pca_kpm.m @@ -0,0 +1,32 @@ +function [pc_vec]=pca_kpm(features,N, method); +% PCA_KPM Compute top N principal components using eigs or svd. +% [pc_vec]=pca_kpm(features,N) +% +% features(:,i) is the i'th example - each COLUMN is an observation +% pc_vec(:,j) is the j'th basis function onto which you should project the data +% using pc_vec' * features + +[d ncases] = size(features); +fm=features-repmat(mean(features,2), 1, ncases); + + +if method==1 % d*d < d*ncases + fprintf('pca_kpm eigs\n'); + options.disp = 0; + C = cov(fm'); % d x d matrix + [pc_vec, evals] = eigs(C, N, 'LM', options); +else + % [U,D,V] = SVD(fm), U(:,i)=evec of fm fm', V(:,i) = evec of fm' fm + fprintf('pca_kpm svds\n'); + [U,D,V] = svds(fm', N); + pc_vec = V; +end + +if 0 +X = randn(5,3); +X = X-repmat(mean(X),5,1); +C = X'*X; +C2=cov(X) +[U,D,V]=svd(X); +[V2,D2]=eig(X) +end diff --git a/sourcecodes/bnt-master/KPMtools/pca_netlab.m b/sourcecodes/bnt-master/KPMtools/pca_netlab.m new file mode 100644 index 00000000..4b7063d6 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/pca_netlab.m @@ -0,0 +1,42 @@ +function [PCcoeff, PCvec] = pca(data, N) +%PCA Principal Components Analysis +% +% Description +% PCCOEFF = PCA(DATA) computes the eigenvalues of the covariance +% matrix of the dataset DATA and returns them as PCCOEFF. These +% coefficients give the variance of DATA along the corresponding +% principal components. +% +% PCCOEFF = PCA(DATA, N) returns the largest N eigenvalues. +% +% [PCCOEFF, PCVEC] = PCA(DATA) returns the principal components as well +% as the coefficients. This is considerably more computationally +% demanding than just computing the eigenvalues. +% +% See also +% EIGDEC, GTMINIT, PPCA +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin == 1 + N = size(data, 2); +end + +if nargout == 1 + evals_only = logical(1); +else + evals_only = logical(0); +end + +if N ~= round(N) | N < 1 | N > size(data, 2) + error('Number of PCs must be integer, >0, < dim'); +end + +% Find the sorted eigenvalues of the data covariance matrix +if evals_only + PCcoeff = eigdec(cov(data), N); +else + [PCcoeff, PCvec] = eigdec(cov(data), N); +end + diff --git a/sourcecodes/bnt-master/KPMtools/pick.m b/sourcecodes/bnt-master/KPMtools/pick.m new file mode 100644 index 00000000..8e40d937 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/pick.m @@ -0,0 +1,9 @@ +function [i,j] = pick(ndx) +% PICK Pick an entry at random from a vector +% function [i,j] = pick(ndx) +% +% i = ndx(j) for j ~ U(1:length(ndx)) + +dist = normalize(ones(1,length(ndx))); +j = sample_discrete(dist); +i = ndx(j); diff --git a/sourcecodes/bnt-master/KPMtools/plotBox.m b/sourcecodes/bnt-master/KPMtools/plotBox.m new file mode 100644 index 00000000..fb057c33 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotBox.m @@ -0,0 +1,22 @@ +function [h, ht] =plotBox(box, col, str) +% function h=plotBox(box, col, str) +% +% box = [xlow xhigh ylow yhigh] +% col = color (default - red) +% str = string printed at center (default '') + +if nargin < 2, col = 'r'; end +if nargin < 3, str = ''; end + +box = double(box); % fails on single + +h = plot([box(1) box(2) box(2) box(1) box(1)], [ box(3) box(3) box(4) box(4) box(3)]); +set(h, 'color', col); +set(h, 'linewidth', 2); +if ~isempty(str) + xc = mean(box(1:2)); + yc = mean(box(3:4)); + ht = text(xc, yc, str); +else + ht = []; +end diff --git a/sourcecodes/bnt-master/KPMtools/plotColors.m b/sourcecodes/bnt-master/KPMtools/plotColors.m new file mode 100644 index 00000000..ded97483 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotColors.m @@ -0,0 +1,10 @@ +function styles = plotColors() + +colors = ['r' 'b' 'k' 'g' 'c' 'y' 'm' ... + 'r' 'b' 'k' 'g' 'c' 'y' 'm']; +symbols = ['o' 'x' '+' '>' '<' '^' 'v' ... + '*' 'p' 'h' 's' 'd' 'o' 'x']; +for i=1:length(colors) + styles{i} = sprintf('-%s%s', colors(i), symbols(i)); +end + diff --git a/sourcecodes/bnt-master/KPMtools/plotROC.m b/sourcecodes/bnt-master/KPMtools/plotROC.m new file mode 100644 index 00000000..4c3de06e --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotROC.m @@ -0,0 +1,26 @@ +function [falseAlarmRate, detectionRate, area, th] = plotROC(confidence, testClass, col, varargin) +% function [falseAlarmRate, detectionRate, area, th] = plotroc(confidence, testClass, color) + +if nargin < 3, col = []; end + +[scale01] = process_options(varargin, 'scale01', 1); + +[falseAlarmRate detectionRate area th] = computeROC(confidence, testClass); + +if ~isempty(col) + h=plot(falseAlarmRate, detectionRate, [col '-']); + %set(h, 'linewidth', 2); + ex = 0.05*max(falseAlarmRate); + ey = 0.05; + if scale01 + axis([0-ex max(falseAlarmRate)+ex 0-ey 1+ey]) + else + % zoom in on the top left corner + axis([0-ex max(falseAlarmRate)*0.5+ex 0.5-ey 1+ey]) + end + grid on + ylabel('detection rate') + %xlabel('# false alarms') + xlabel('false alarm rate') +end + diff --git a/sourcecodes/bnt-master/KPMtools/plotROCkpm.m b/sourcecodes/bnt-master/KPMtools/plotROCkpm.m new file mode 100644 index 00000000..a77fd568 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotROCkpm.m @@ -0,0 +1,69 @@ +function [falseAlarmRate, detectionRate, area, th] = plotROC(confidence, testClass, col, varargin) +% You pass the scores and the classes, and the function returns the false +% alarm rate and the detection rate for different points across the ROC. +% +% [faR, dR] = plotROC(score, class) +% +% faR (false alarm rate) is uniformly sampled from 0 to 1 +% dR (detection rate) is computed using the scores. +% +% class = 0 => target absent +% class = 1 => target present +% +% score is the output of the detector, or any other measure of detection. +% There is no plot unless you add a third parameter that is the color of +% the graph. For instance: +% [faR, dR] = plotROC(score, class, 'r') +% +% faR, dR are size 1x1250 + +if nargin < 3, col = []; end +[scale01] = process_options(varargin, 'scale01', 1); + +S = rand('state'); +rand('state',0); +confidence = confidence + rand(size(confidence))*10^(-10); +rand('state',S) + +ndxAbs = find(testClass==0); % absent +ndxPres = find(testClass==1); % present + +[th, j] = sort(confidence(ndxAbs)); +th = th(fix(linspace(1, length(th), 1250))); + +cAbs = confidence(ndxAbs); +cPres = confidence(ndxPres); +for t=1:length(th) + if length(ndxPres) == 0 + detectionRate(t) = 0; + else + detectionRate(t) = sum(cPres>=th(t)) / length(ndxPres); + end + if length(ndxAbs) == 0 + falseAlarmRate(t) = 0; + else + falseAlarmRate(t) = sum(cAbs>=th(t)) / length(ndxAbs); + end + + %detectionRate(t) = sum(confidence(ndxPres)>=th(t)) / length(ndxPres); + %falseAlarmRate(t) = sum(confidence(ndxAbs)>=th(t)) / length(ndxAbs); + %detections(t) = sum(confidence(ndxPres)>=th(t)); + %falseAlarms(t) = sum(confidence(ndxAbs)>=th(t)); +end + +area = sum(abs(falseAlarmRate(2:end) - falseAlarmRate(1:end-1)) .* detectionRate(2:end)); + +if ~isempty(col) + h=plot(falseAlarmRate, detectionRate, [col '-']); + %set(h, 'linewidth', 2); + e = 0.05; + if scale01 + axis([0-e 1+e 0-e 1+e]) + else + % zoom in on the top left corner + axis([0-e 0.5+e 0.5-e 1+e]) + end + grid on + ylabel('detection rate') + xlabel('false alarm rate') +end diff --git a/sourcecodes/bnt-master/KPMtools/plot_axis_thru_origin.m b/sourcecodes/bnt-master/KPMtools/plot_axis_thru_origin.m new file mode 100644 index 00000000..353376e4 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plot_axis_thru_origin.m @@ -0,0 +1,3 @@ +function plot_axis_thru_origin() + +lnx=line(get(gca,'xlim'),[0 0]); lny=line([0 0],get(gca,'ylim')); diff --git a/sourcecodes/bnt-master/KPMtools/plot_ellipse.m b/sourcecodes/bnt-master/KPMtools/plot_ellipse.m new file mode 100644 index 00000000..e101a158 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plot_ellipse.m @@ -0,0 +1,19 @@ +% PLOT_ELLIPSE +% h=plot_ellipse(x,y,theta,a,b) +% +% This routine plots an ellipse with centre (x,y), axis lengths a,b +% with major axis at an angle of theta radians from the horizontal. + +% +% Author: P. Fieguth +% Jan. 98 +% +%http://ocho.uwaterloo.ca/~pfieguth/Teaching/372/plot_ellipse.m + +function h=plot_ellipse(x,y,theta,a,b) + +np = 100; +ang = [0:np]*2*pi/np; +R = [cos(theta) -sin(theta); sin(theta) cos(theta)]; +pts = [x;y]*ones(size(ang)) + R*[cos(ang)*a; sin(ang)*b]; +h=plot( pts(1,:), pts(2,:) ); diff --git a/sourcecodes/bnt-master/KPMtools/plot_matrix.m b/sourcecodes/bnt-master/KPMtools/plot_matrix.m new file mode 100644 index 00000000..58a9a964 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plot_matrix.m @@ -0,0 +1,48 @@ +function plot_matrix(G, bw) +% PLOT_MATRIX Plot a 2D matrix as a grayscale image, and label the axes +% +% plot_matrix(M) +% +% For 0/1 matrices (eg. adjacency matrices), use +% plot_matrix(M,1) + +if nargin < 2, bw = 0; end + +if 0 + imagesc(G) + %image(G) + %colormap([1 1 1; 0 0 0]); % black squares on white background + %colormap(gray) + grid on + n = length(G); + + % shift the grid lines so they don't intersect the squares + set(gca,'xtick',1.5:1:n); + set(gca,'ytick',1.5:1:n); + + % Turn off the confusing labels, which are fractional + % Ideally we could shift the labels to lie between the axis lines... +% set(gca,'xticklabel', []); +% set(gca,'yticklabel', []); +else + % solution provided by Jordan Rosenthal + % You can plot the grid lines manually: + % This uses the trick that a point with a value nan does not get plotted. + imagesc(G); + if bw + colormap([1 1 1; 0 0 0]); + end + n = length(G); + x = 1.5:1:n; + x = [ x; x; repmat(nan,1,n-1) ]; + y = [ 0.5 n+0.5 nan ].'; + y = repmat(y,1,n-1); + x = x(:); + y = y(:); + line(x,y,'linestyle',':','color','k'); + line(y,x,'linestyle',':','color','k'); + set(gca,'xtick',1:n) + set(gca,'ytick',1:n) +end + + diff --git a/sourcecodes/bnt-master/KPMtools/plot_polygon.m b/sourcecodes/bnt-master/KPMtools/plot_polygon.m new file mode 100644 index 00000000..d5aa1e19 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plot_polygon.m @@ -0,0 +1,23 @@ +function out=plot_polygon(p, args, close_loop) +% PLOT_POLYGON +% function handle=plot_polygon(p, args, close_loop) +% p(1,i), p(2,i) are the x/y coords of point i. +% If non-empty, args are passed thru to the plot command. +% If close_loop = 1, connect the last point to the first + +% All rights reserved. Documentation updated April 1999. +% Matt Kawski. http://math.la.asu.edu/~kawski +% He calls it pplot + +if nargin < 2, args = []; end +if nargin < 3, close_loop = 0; end + +if close_loop + p = [p p(:,1)]; +end + +if isempty(args) + out=plot(p(1,:),p(2,:)); +else + out=plot(p(1,:),p(2,:),args); +end diff --git a/sourcecodes/bnt-master/KPMtools/plotcov2.m b/sourcecodes/bnt-master/KPMtools/plotcov2.m new file mode 100644 index 00000000..b42c8c1b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotcov2.m @@ -0,0 +1,86 @@ +% PLOTCOV2 - Plots a covariance ellipse with major and minor axes +% for a bivariate Gaussian distribution. +% +% Usage: +% h = plotcov2(mu, Sigma[, OPTIONS]); +% +% Inputs: +% mu - a 2 x 1 vector giving the mean of the distribution. +% Sigma - a 2 x 2 symmetric positive semi-definite matrix giving +% the covariance of the distribution (or the zero matrix). +% +% Options: +% 'conf' - a scalar between 0 and 1 giving the confidence +% interval (i.e., the fraction of probability mass to +% be enclosed by the ellipse); default is 0.9. +% 'num-pts' - the number of points to be used to plot the +% ellipse; default is 100. +% +% This function also accepts options for PLOT. +% +% Outputs: +% h - a vector of figure handles to the ellipse boundary and +% its major and minor axes +% +% See also: PLOTCOV3 + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function h = plotcov2(mu, Sigma, varargin) + +if size(Sigma) ~= [2 2], error('Sigma must be a 2 by 2 matrix'); end +if length(mu) ~= 2, error('mu must be a 2 by 1 vector'); end + +[p, ... + n, ... + plot_opts] = process_options(varargin, 'conf', 0.9, ... + 'num-pts', 100); +h = []; +holding = ishold; +if (Sigma == zeros(2, 2)) + z = mu; +else + % Compute the Mahalanobis radius of the ellipsoid that encloses + % the desired probability mass. + k = conf2mahal(p, 2); + % The major and minor axes of the covariance ellipse are given by + % the eigenvectors of the covariance matrix. Their lengths (for + % the ellipse with unit Mahalanobis radius) are given by the + % square roots of the corresponding eigenvalues. + if (issparse(Sigma)) + [V, D] = eigs(Sigma); + else + [V, D] = eig(Sigma); + end + % Compute the points on the surface of the ellipse. + t = linspace(0, 2*pi, n); + u = [cos(t); sin(t)]; + w = (k * V * sqrt(D)) * u; + z = repmat(mu, [1 n]) + w; + % Plot the major and minor axes. + L = k * sqrt(diag(D)); + h = plot([mu(1); mu(1) + L(1) * V(1, 1)], ... + [mu(2); mu(2) + L(1) * V(2, 1)], plot_opts{:}); + hold on; + h = [h; plot([mu(1); mu(1) + L(2) * V(1, 2)], ... + [mu(2); mu(2) + L(2) * V(2, 2)], plot_opts{:})]; +end + +h = [h; plot(z(1, :), z(2, :), plot_opts{:})]; +if (~holding) hold off; end diff --git a/sourcecodes/bnt-master/KPMtools/plotcov2New.m b/sourcecodes/bnt-master/KPMtools/plotcov2New.m new file mode 100644 index 00000000..ec5554bb --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotcov2New.m @@ -0,0 +1,119 @@ +% PLOTCOV2 - Plots a covariance ellipsoid with axes for a bivariate +% Gaussian distribution. +% +% Usage: +% [h, s] = plotcov2(mu, Sigma[, OPTIONS]); +% +% Inputs: +% mu - a 2 x 1 vector giving the mean of the distribution. +% Sigma - a 2 x 2 symmetric positive semi-definite matrix giving +% the covariance of the distribution (or the zero matrix). +% +% Options: +% 'conf' - a scalar between 0 and 1 giving the confidence +% interval (i.e., the fraction of probability mass to +% be enclosed by the ellipse); default is 0.9. +% 'num-pts' - if the value supplied is n, then (n + 1)^2 points +% to be used to plot the ellipse; default is 20. +% 'label' - if non-empty, a string that will label the +% ellipsoid (default: []) +% 'plot-axes' - a 0/1 flag indicating if the ellipsoid's axes +% should be plotted (default: 1) +% 'plot-opts' - a cell vector of arguments to be handed to PLOT3 +% to contol the appearance of the axes, e.g., +% {'Color', 'g', 'LineWidth', 1}; the default is {} +% 'fill-color' - a color specifier; is this is not [], the +% covariance ellipse is filled with this color +% (default: []) +% +% Outputs: +% h - a vector of handles on the axis lines +% +% See also: PLOTCOV3 + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [h, s] = plotcov2New(mu, Sigma, varargin) + +h = []; +s = []; + +if size(Sigma) ~= [2 2], error('Sigma must be a 2 by 2 matrix'); end +if length(mu) ~= 2, error('mu must be a 2 by 1 vector'); end + +Sigma = checkpsd(Sigma); + +[p, ... + n, ... + label, ... + plot_axes, ... + plot_opts, ... + fill_color] = process_options(varargin, 'conf', 0.9, ... + 'num-pts', 20, ... + 'label', [], ... + 'plot-axes', 1, ... + 'plot-opts', {}, ... + 'fill-color', []); +holding = ishold; +% Compute the Mahalanobis radius of the ellipsoid that encloses +% the desired probability mass. +k = conf2mahal(p, 2); +% Scale the covariance matrix so the confidence region has unit +% Mahalanobis distance. +Sigma = Sigma * k; +% The axes of the covariance ellipse are given by the eigenvectors of +% the covariance matrix. Their lengths (for the ellipse with unit +% Mahalanobis radius) are given by the square roots of the +% corresponding eigenvalues. +[V, D] = eig(full(Sigma)); +V = real(V); +D = real(D); +D = abs(D); + +% Compute the points on the boundary of the ellipsoid. +t = linspace(0, 2*pi, n); +u = [cos(t(:))'; sin(t(:))']; +w = (V * sqrt(D)) * u; +z = repmat(mu(:), [1 n]) + w; +h = [h; plot(z(1, :), z(2, :), plot_opts{:})]; +if (~isempty(fill_color)) + s = patch(z(1, :), z(2, :), fill_color); +end + +% Plot the axes. +if (plot_axes) + hold on; + L = sqrt(diag(D)); + h = plot([mu(1); mu(1) + L(1) * V(1, 1)], ... + [mu(2); mu(2) + L(1) * V(2, 1)], plot_opts{:}); + h = [h; plot([mu(1); mu(1) + L(2) * V(1, 2)], ... + [mu(2); mu(2) + L(2) * V(2, 2)], plot_opts{:})]; +end + + +if (~isempty(label)) + th = text(mu(1), mu(2), label); + set(th, 'FontSize', 18); + set(th, 'FontName', 'Times'); + set(th, 'FontWeight', 'bold'); + set(th, 'FontAngle', 'italic'); + set(th, 'HorizontalAlignment', 'center'); +end + +if (~holding & plot_axes) hold off; end diff --git a/sourcecodes/bnt-master/KPMtools/plotcov3.m b/sourcecodes/bnt-master/KPMtools/plotcov3.m new file mode 100644 index 00000000..bacdcb27 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotcov3.m @@ -0,0 +1,109 @@ +% PLOTCOV3 - Plots a covariance ellipsoid with axes for a trivariate +% Gaussian distribution. +% +% Usage: +% [h, s] = plotcov3(mu, Sigma[, OPTIONS]); +% +% Inputs: +% mu - a 3 x 1 vector giving the mean of the distribution. +% Sigma - a 3 x 3 symmetric positive semi-definite matrix giving +% the covariance of the distribution (or the zero matrix). +% +% Options: +% 'conf' - a scalar between 0 and 1 giving the confidence +% interval (i.e., the fraction of probability mass to +% be enclosed by the ellipse); default is 0.9. +% 'num-pts' - if the value supplied is n, then (n + 1)^2 points +% to be used to plot the ellipse; default is 20. +% 'plot-opts' - a cell vector of arguments to be handed to PLOT3 +% to contol the appearance of the axes, e.g., +% {'Color', 'g', 'LineWidth', 1}; the default is {} +% 'surf-opts' - a cell vector of arguments to be handed to SURF +% to contol the appearance of the ellipsoid +% surface; a nice possibility that yields +% transparency is: {'EdgeAlpha', 0, 'FaceAlpha', +% 0.1, 'FaceColor', 'g'}; the default is {} +% +% Outputs: +% h - a vector of handles on the axis lines +% s - a handle on the ellipsoid surface object +% +% See also: PLOTCOV2 + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [h, s] = plotcov3(mu, Sigma, varargin) + +if size(Sigma) ~= [3 3], error('Sigma must be a 3 by 3 matrix'); end +if length(mu) ~= 3, error('mu must be a 3 by 1 vector'); end + +[p, ... + n, ... + plot_opts, ... + surf_opts] = process_options(varargin, 'conf', 0.9, ... + 'num-pts', 20, ... + 'plot-opts', {}, ... + 'surf-opts', {}); +h = []; +holding = ishold; +if (Sigma == zeros(3, 3)) + z = mu; +else + % Compute the Mahalanobis radius of the ellipsoid that encloses + % the desired probability mass. + k = conf2mahal(p, 3); + % The axes of the covariance ellipse are given by the eigenvectors of + % the covariance matrix. Their lengths (for the ellipse with unit + % Mahalanobis radius) are given by the square roots of the + % corresponding eigenvalues. + if (issparse(Sigma)) + [V, D] = eigs(Sigma); + else + [V, D] = eig(Sigma); + end + if (any(diag(D) < 0)) + error('Invalid covariance matrix: not positive semi-definite.'); + end + % Compute the points on the surface of the ellipsoid. + t = linspace(0, 2*pi, n); + [X, Y, Z] = sphere(n); + u = [X(:)'; Y(:)'; Z(:)']; + w = (k * V * sqrt(D)) * u; + z = repmat(mu(:), [1 (n + 1)^2]) + w; + + % Plot the axes. + L = k * sqrt(diag(D)); + h = plot3([mu(1); mu(1) + L(1) * V(1, 1)], ... + [mu(2); mu(2) + L(1) * V(2, 1)], ... + [mu(3); mu(3) + L(1) * V(3, 1)], plot_opts{:}); + hold on; + h = [h; plot3([mu(1); mu(1) + L(2) * V(1, 2)], ... + [mu(2); mu(2) + L(2) * V(2, 2)], ... + [mu(3); mu(3) + L(2) * V(3, 2)], plot_opts{:})]; + h = [h; plot3([mu(1); mu(1) + L(3) * V(1, 3)], ... + [mu(2); mu(2) + L(3) * V(2, 3)], ... + [mu(3); mu(3) + L(3) * V(3, 3)], plot_opts{:})]; +end + +s = surf(reshape(z(1, :), [(n + 1) (n + 1)]), ... + reshape(z(2, :), [(n + 1) (n + 1)]), ... + reshape(z(3, :), [(n + 1) (n + 1)]), ... + surf_opts{:}); + +if (~holding) hold off; end diff --git a/sourcecodes/bnt-master/KPMtools/plotgauss1d.m b/sourcecodes/bnt-master/KPMtools/plotgauss1d.m new file mode 100644 index 00000000..b20da3c1 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotgauss1d.m @@ -0,0 +1,9 @@ +function h = plotgauss1d(mu, sigma2) +% function h = plotgauss1d(mu, sigma^2) +% Example +% plotgauss1d(0,5); hold on; h=plotgauss1d(0,2);set(h,'color','r') + +sigma = sqrt(sigma2); +x = linspace(mu-3*sigma, mu+3*sigma, 100); +p = gaussian_prob(x, mu, sigma2); +h = plot(x, p, '-'); diff --git a/sourcecodes/bnt-master/KPMtools/plotgauss2d.m b/sourcecodes/bnt-master/KPMtools/plotgauss2d.m new file mode 100644 index 00000000..a507b258 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotgauss2d.m @@ -0,0 +1,130 @@ +function h=plotgauss2d(mu, Sigma) +% PLOTGAUSS2D Plot a 2D Gaussian as an ellipse with optional cross hairs +% h=plotgauss2(mu, Sigma) +% + +h = plotcov2(mu, Sigma); +return; + +%%%%%%%%%%%%%%%%%%%%%%%% + +% PLOTCOV2 - Plots a covariance ellipse with major and minor axes +% for a bivariate Gaussian distribution. +% +% Usage: +% h = plotcov2(mu, Sigma[, OPTIONS]); +% +% Inputs: +% mu - a 2 x 1 vector giving the mean of the distribution. +% Sigma - a 2 x 2 symmetric positive semi-definite matrix giving +% the covariance of the distribution (or the zero matrix). +% +% Options: +% 'conf' - a scalar between 0 and 1 giving the confidence +% interval (i.e., the fraction of probability mass to +% be enclosed by the ellipse); default is 0.9. +% 'num-pts' - the number of points to be used to plot the +% ellipse; default is 100. +% +% This function also accepts options for PLOT. +% +% Outputs: +% h - a vector of figure handles to the ellipse boundary and +% its major and minor axes +% +% See also: PLOTCOV3 + +% Copyright (C) 2002 Mark A. Paskin + +function h = plotcov2(mu, Sigma, varargin) + +if size(Sigma) ~= [2 2], error('Sigma must be a 2 by 2 matrix'); end +if length(mu) ~= 2, error('mu must be a 2 by 1 vector'); end + +[p, ... + n, ... + plot_opts] = process_options(varargin, 'conf', 0.9, ... + 'num-pts', 100); +h = []; +holding = ishold; +if (Sigma == zeros(2, 2)) + z = mu; +else + % Compute the Mahalanobis radius of the ellipsoid that encloses + % the desired probability mass. + k = conf2mahal(p, 2); + % The major and minor axes of the covariance ellipse are given by + % the eigenvectors of the covariance matrix. Their lengths (for + % the ellipse with unit Mahalanobis radius) are given by the + % square roots of the corresponding eigenvalues. + if (issparse(Sigma)) + [V, D] = eigs(Sigma); + else + [V, D] = eig(Sigma); + end + % Compute the points on the surface of the ellipse. + t = linspace(0, 2*pi, n); + u = [cos(t); sin(t)]; + w = (k * V * sqrt(D)) * u; + z = repmat(mu, [1 n]) + w; + % Plot the major and minor axes. + L = k * sqrt(diag(D)); + h = plot([mu(1); mu(1) + L(1) * V(1, 1)], ... + [mu(2); mu(2) + L(1) * V(2, 1)], plot_opts{:}); + hold on; + h = [h; plot([mu(1); mu(1) + L(2) * V(1, 2)], ... + [mu(2); mu(2) + L(2) * V(2, 2)], plot_opts{:})]; +end + +h = [h; plot(z(1, :), z(2, :), plot_opts{:})]; +if (~holding) hold off; end + +%%%%%%%%%%%% + +% CONF2MAHAL - Translates a confidence interval to a Mahalanobis +% distance. Consider a multivariate Gaussian +% distribution of the form +% +% p(x) = 1/sqrt((2 * pi)^d * det(C)) * exp((-1/2) * MD(x, m, inv(C))) +% +% where MD(x, m, P) is the Mahalanobis distance from x +% to m under P: +% +% MD(x, m, P) = (x - m) * P * (x - m)' +% +% A particular Mahalanobis distance k identifies an +% ellipsoid centered at the mean of the distribution. +% The confidence interval associated with this ellipsoid +% is the probability mass enclosed by it. Similarly, +% a particular confidence interval uniquely determines +% an ellipsoid with a fixed Mahalanobis distance. +% +% If X is an d dimensional Gaussian-distributed vector, +% then the Mahalanobis distance of X is distributed +% according to the Chi-squared distribution with d +% degrees of freedom. Thus, the Mahalanobis distance is +% determined by evaluating the inverse cumulative +% distribution function of the chi squared distribution +% up to the confidence value. +% +% Usage: +% +% m = conf2mahal(c, d); +% +% Inputs: +% +% c - the confidence interval +% d - the number of dimensions of the Gaussian distribution +% +% Outputs: +% +% m - the Mahalanobis radius of the ellipsoid enclosing the +% fraction c of the distribution's probability mass +% +% See also: MAHAL2CONF + +% Copyright (C) 2002 Mark A. Paskin + +function m = conf2mahal(c, d) + +m = chi2inv(c, d); % matlab stats toolbox diff --git a/sourcecodes/bnt-master/KPMtools/plotgauss2d_old.m b/sourcecodes/bnt-master/KPMtools/plotgauss2d_old.m new file mode 100644 index 00000000..08d1d14d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/plotgauss2d_old.m @@ -0,0 +1,40 @@ +function h=plotgauss2d_old(mu, Sigma, plot_cross) +% PLOTGAUSS2D Plot a 2D Gaussian as an ellipse with optional cross hairs +% h=plotgauss2(mu, Sigma) +% +% h=plotgauss2(mu, Sigma, 1) also plots the major and minor axes +% +% Example +% clf; S=[2 1; 1 2]; plotgauss2d([0;0], S, 1); axis equal + +if nargin < 3, plot_cross = 0; end +[V,D]=eig(Sigma); +lam1 = D(1,1); +lam2 = D(2,2); +v1 = V(:,1); +v2 = V(:,2); +%assert(approxeq(v1' * v2, 0)) +if v1(1)==0 + theta = 0; % horizontal +else + theta = atan(v1(2)/v1(1)); +end +a = sqrt(lam1); +b = sqrt(lam2); +h=plot_ellipse(mu(1), mu(2), theta, a,b); + +if plot_cross + mu = mu(:); + held = ishold; + hold on + minor1 = mu-a*v1; minor2 = mu+a*v1; + hminor = line([minor1(1) minor2(1)], [minor1(2) minor2(2)]); + + major1 = mu-b*v2; major2 = mu+b*v2; + hmajor = line([major1(1) major2(1)], [major1(2) major2(2)]); + %set(hmajor,'color','r') + if ~held + hold off + end +end + diff --git a/sourcecodes/bnt-master/KPMtools/polygon_area.m b/sourcecodes/bnt-master/KPMtools/polygon_area.m new file mode 100644 index 00000000..43dffc77 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/polygon_area.m @@ -0,0 +1,22 @@ +function a = polygon_area(x,y) +% AREA Area of a planar polygon. +% AREA(X,Y) Calculates the area of a 2-dimensional +% polygon formed by vertices with coordinate vectors +% X and Y. The result is direction-sensitive: the +% area is positive if the bounding contour is counter- +% clockwise and negative if it is clockwise. +% +% See also TRAPZ. + +% Copyright (c) 1995 by Kirill K. Pankratov, +% kirill@plume.mit.edu. +% 04/20/94, 05/20/95 + + % Make polygon closed ............. +x = [x(:); x(1)]; +y = [y(:); y(1)]; + + % Calculate contour integral Int -y*dx (same as Int x*dy). +lx = length(x); +a = -(x(2:lx)-x(1:lx-1))'*(y(1:lx-1)+y(2:lx))/2; +a = abs(a); diff --git a/sourcecodes/bnt-master/KPMtools/polygon_centroid.m b/sourcecodes/bnt-master/KPMtools/polygon_centroid.m new file mode 100644 index 00000000..f3e3947f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/polygon_centroid.m @@ -0,0 +1,79 @@ +function [x0,y0] = centroid(x,y) +% CENTROID Center of mass of a polygon. +% [X0,Y0] = CENTROID(X,Y) Calculates centroid +% (center of mass) of planar polygon with vertices +% coordinates X, Y. +% Z0 = CENTROID(X+i*Y) returns Z0=X0+i*Y0 the same +% as CENTROID(X,Y). + +% Copyright (c) 1995 by Kirill K. Pankratov, +% kirill@plume.mit.edu. +% 06/01/95, 06/07/95 + +% Algorithm: +% X0 = Int{x*ds}/Int{ds}, where ds - area element +% so that Int{ds} is total area of a polygon. +% Using Green's theorem the area integral can be +% reduced to a contour integral: +% Int{x*ds} = -Int{x^2*dy}, Int{ds} = Int{x*dy} along +% the perimeter of a polygon. +% For a polygon as a sequence of line segments +% this can be reduced exactly to a sum: +% Int{x^2*dy} = Sum{ (x_{i}^2+x_{i+1}^2+x_{i}*x_{i+1})* +% (y_{i+1}-y_{i})}/3; +% Int{x*dy} = Sum{(x_{i}+x_{i+1})(y_{i+1}-y_{i})}/2. +% Similarly +% Y0 = Int{y*ds}/Int{ds}, where +% Int{y*ds} = Int{y^2*dx} = +% = Sum{ (y_{i}^2+y_{i+1}^2+y_{i}*y_{i+1})* +% (x_{i+1}-x_{i})}/3. + + % Handle input ...................... +if nargin==0, help centroid, return, end +if nargin==1 + sz = size(x); + if sz(1)==2 % Matrix 2 by n + y = x(2,:); x = x(1,:); + elseif sz(2)==2 % Matrix n by 2 + y = x(:,2); x = x(:,1); + else + y = imag(x); + x = real(x); + end +end + + % Make a polygon closed .............. +x = [x(:); x(1)]; +y = [y(:); y(1)]; + + % Check length ....................... +l = length(x); +if length(y)~=l + error(' Vectors x and y must have the same length') +end + + % X-mean: Int{x^2*dy} ................ +del = y(2:l)-y(1:l-1); +v = x(1:l-1).^2+x(2:l).^2+x(1:l-1).*x(2:l); +x0 = v'*del; + + % Y-mean: Int{y^2*dx} ................ +del = x(2:l)-x(1:l-1); +v = y(1:l-1).^2+y(2:l).^2+y(1:l-1).*y(2:l); +y0 = v'*del; + + % Calculate area: Int{y*dx} .......... +a = (y(1:l-1)+y(2:l))'*del; +tol= 2*eps; +if abs(a) 1 + exportfig(h, filename, varargin{:}, args{:}); +else + exportfig(h, filename, args{:}); +end + +X = imread(filename,'png'); +height = size(X,1); +width = size(X,2); +delete(filename); +f = figure( 'Name', 'Preview', ... + 'Menubar', 'none', ... + 'NumberTitle', 'off', ... + 'Visible', 'off'); +image(X); +axis image; +ax = findobj(f, 'type', 'axes'); +axesPos = [0 0 width height]; +set(ax, 'Units', 'pixels', ... + 'Position', axesPos, ... + 'Visible', 'off'); +figPos = get(f,'Position'); +rootSize = get(0,'ScreenSize'); +figPos(3:4) = axesPos(3:4); +if figPos(1) + figPos(3) > rootSize(3) + figPos(1) = rootSize(3) - figPos(3) - 50; +end +if figPos(2) + figPos(4) > rootSize(4) + figPos(2) = rootSize(4) - figPos(4) - 50; +end +set(f, 'Position',figPos, ... + 'Visible', 'on'); diff --git a/sourcecodes/bnt-master/KPMtools/process_options.m b/sourcecodes/bnt-master/KPMtools/process_options.m new file mode 100644 index 00000000..5e17eb89 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/process_options.m @@ -0,0 +1,132 @@ +% PROCESS_OPTIONS - Processes options passed to a Matlab function. +% This function provides a simple means of +% parsing attribute-value options. Each option is +% named by a unique string and is given a default +% value. +% +% Usage: [var1, var2, ..., varn[, unused]] = ... +% process_options(args, ... +% str1, def1, str2, def2, ..., strn, defn) +% +% Arguments: +% args - a cell array of input arguments, such +% as that provided by VARARGIN. Its contents +% should alternate between strings and +% values. +% str1, ..., strn - Strings that are associated with a +% particular variable +% def1, ..., defn - Default values returned if no option +% is supplied +% +% Returns: +% var1, ..., varn - values to be assigned to variables +% unused - an optional cell array of those +% string-value pairs that were unused; +% if this is not supplied, then a +% warning will be issued for each +% option in args that lacked a match. +% +% Examples: +% +% Suppose we wish to define a Matlab function 'func' that has +% required parameters x and y, and optional arguments 'u' and 'v'. +% With the definition +% +% function y = func(x, y, varargin) +% +% [u, v] = process_options(varargin, 'u', 0, 'v', 1); +% +% calling func(0, 1, 'v', 2) will assign 0 to x, 1 to y, 0 to u, and 2 +% to v. The parameter names are insensitive to case; calling +% func(0, 1, 'V', 2) has the same effect. The function call +% +% func(0, 1, 'u', 5, 'z', 2); +% +% will result in u having the value 5 and v having value 1, but +% will issue a warning that the 'z' option has not been used. On +% the other hand, if func is defined as +% +% function y = func(x, y, varargin) +% +% [u, v, unused_args] = process_options(varargin, 'u', 0, 'v', 1); +% +% then the call func(0, 1, 'u', 5, 'z', 2) will yield no warning, +% and unused_args will have the value {'z', 2}. This behaviour is +% useful for functions with options that invoke other functions +% with options; all options can be passed to the outer function and +% its unprocessed arguments can be passed to the inner function. + +% Copyright (C) 2002 Mark A. Paskin +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 +% USA. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [varargout] = process_options(args, varargin) + +% Check the number of input arguments +n = length(varargin); +if (mod(n, 2)) + error('Each option must be a string/value pair.'); +end + +% Check the number of supplied output arguments +if (nargout < (n / 2)) + error('Insufficient number of output arguments given'); +elseif (nargout == (n / 2)) + warn = 1; + nout = n / 2; +else + warn = 0; + nout = n / 2 + 1; +end + +% Set outputs to be defaults +varargout = cell(1, nout); +for i=2:2:n + varargout{i/2} = varargin{i}; +end + +% Now process all arguments +nunused = 0; +for i=1:2:length(args) + found = 0; + for j=1:2:n + if strcmpi(args{i}, varargin{j}) + varargout{(j + 1)/2} = args{i + 1}; + found = 1; + break; + end + end + if (~found) + if (warn) + warning(sprintf('Option ''%s'' not used.', args{i})); + args{i} + else + nunused = nunused + 1; + unused{2 * nunused - 1} = args{i}; + unused{2 * nunused} = args{i + 1}; + end + end +end + +% Assign the unused arguments +if (~warn) + if (nunused) + varargout{nout} = unused; + else + varargout{nout} = cell(0); + end +end diff --git a/sourcecodes/bnt-master/KPMtools/rand_psd.m b/sourcecodes/bnt-master/KPMtools/rand_psd.m new file mode 100644 index 00000000..c6fc6d32 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rand_psd.m @@ -0,0 +1,13 @@ +function M = rand_psd(d, d2, k) +% Create a random positive definite matrix of size d by d by k (k defaults to 1) +% M = rand_psd(d, d2, k) default: d2 = d, k = 1 + +if nargin<2, d2 = d; end +if nargin<3, k = 1; end +if d2 ~= d, error('must be square'); end + +M = zeros(d,d,k); +for i=1:k + A = rand(d); + M(:,:,i) = A*A'; +end diff --git a/sourcecodes/bnt-master/KPMtools/rectintC.m b/sourcecodes/bnt-master/KPMtools/rectintC.m new file mode 100644 index 00000000..0651519b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rectintC.m @@ -0,0 +1,22 @@ +function [overlap, normoverlap] = rectintC(A,B) +% +% A(i,:) = [x y w h] +% B(j,:) = [x y w h] +% overlap(i,j) = area of intersection +% normoverlap(i,j) = overlap(i,j) / min(area(i), area(j)) +% +% Same as built-in rectint, but faster and uses less memory (since avoids repmat). + + +leftA = A(:,1); +bottomA = A(:,2); +rightA = leftA + A(:,3); +topA = bottomA + A(:,4); + +leftB = B(:,1)'; +bottomB = B(:,2)'; +rightB = leftB + B(:,3)'; +topB = bottomB + B(:,4)'; + +verbose = 0; +[overlap, normoverlap] = rectintLoopC(leftA, rightA, topA, bottomA, leftB, rightB, topB, bottomB, verbose); diff --git a/sourcecodes/bnt-master/KPMtools/rectintLoopC.c b/sourcecodes/bnt-master/KPMtools/rectintLoopC.c new file mode 100644 index 00000000..1a106e04 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rectintLoopC.c @@ -0,0 +1,71 @@ + +#include "mex.h" +#include + +#define MAX(x,y) ((x)>(y) ? (x) : (y)) +#define MIN(x,y) ((x)<(y) ? (x) : (y)) + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[] + ) +{ + int j,k,m,n,nzmax,*irs,*jcs, *irs2, *jcs2; + double *overlap, *overlap2, tmp, areaA, areaB; + double *leftA, *rightA, *topA, *bottomA; + double *leftB, *rightB, *topB, *bottomB; + double *verbose; + + m = MAX(mxGetM(prhs[0]), mxGetN(prhs[0])); + n = MAX(mxGetM(prhs[4]), mxGetN(prhs[4])); + /* printf("A=%d, B=%d\n", m, n); */ + + leftA = mxGetPr(prhs[0]); + rightA = mxGetPr(prhs[1]); + topA = mxGetPr(prhs[2]); + bottomA = mxGetPr(prhs[3]); + + leftB = mxGetPr(prhs[4]); + rightB = mxGetPr(prhs[5]); + topB = mxGetPr(prhs[6]); + bottomB = mxGetPr(prhs[7]); + + verbose = mxGetPr(prhs[8]); + + plhs[0] = mxCreateDoubleMatrix(m,n, mxREAL); + overlap = mxGetPr(plhs[0]); + + plhs[1] = mxCreateDoubleMatrix(m,n, mxREAL); + overlap2 = mxGetPr(plhs[1]); + + k = 0; + for (j = 0; (j < n); j++) { + int i; + for (i = 0; (i < m); i++) { + tmp = (MAX(0, MIN(rightA[i], rightB[j]) - MAX(leftA[i], leftB[j]) )) * + (MAX(0, MIN(topA[i], topB[j]) - MAX(bottomA[i], bottomB[j]) )); + + if (tmp > 0) { + overlap[k] = tmp; + + areaA = (rightA[i]-leftA[i])*(topA[i]-bottomA[i]); + areaB = (rightB[j]-leftB[j])*(topB[j]-bottomB[j]); + overlap2[k] = tmp/MIN(areaA, areaB); + + if (*verbose) { + printf("j=%d,i=%d,overlap=%5.3f, norm=%5.3f\n", j,i, overlap[k], overlap2[k]); + } + } + + k++; + } + } +} + + + + + + + + diff --git a/sourcecodes/bnt-master/KPMtools/rectintLoopC.dll b/sourcecodes/bnt-master/KPMtools/rectintLoopC.dll new file mode 100644 index 00000000..ab7750f6 Binary files /dev/null and b/sourcecodes/bnt-master/KPMtools/rectintLoopC.dll differ diff --git a/sourcecodes/bnt-master/KPMtools/rectintSparse.m b/sourcecodes/bnt-master/KPMtools/rectintSparse.m new file mode 100644 index 00000000..f2aa33a9 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rectintSparse.m @@ -0,0 +1,59 @@ +function [overlap, normoverlap] = rectintSparse(A,B) +% +% A(i,:) = [x y w h] +% B(j,:) = [x y w h] +% overlap(i,j) = area of intersection +% normoverla(i,j) +% +% Same as built-in rectint, but uses less memory. +% Use rectintSparseC for a faster version. +% + +leftA = A(:,1); +bottomA = A(:,2); +rightA = leftA + A(:,3); +topA = bottomA + A(:,4); + +leftB = B(:,1)'; +bottomB = B(:,2)'; +rightB = leftB + B(:,3)'; +topB = bottomB + B(:,4)'; + +numRectA = size(A,1); +numRectB = size(B,1); + +%out = rectintSparseLoopC(leftA, rightA, topA, bottomA, leftB, rightB, topB, bottomB); + +nnz = ceil(0.2*numRectA*numRectB); % guess of number of non-zeroes +overlap = sparse([], [], [], numRectA, numRectB, nnz); +normoverlap = sparse([], [], [], numRectA, numRectB, nnz); +for j=1:numRectB + for i=1:numRectA + tmp = (max(0, min(rightA(i), rightB(j)) - max(leftA(i), leftB(j)) ) ) .* ... + (max(0, min(topA(i), topB(j)) - max(bottomA(i), bottomB(j)) ) ); + if tmp>0 + overlap(i,j) = tmp; + areaA = (rightA(i)-leftA(i))*(topA(i)-bottomA(i)); + areaB = (rightB(j)-leftB(j))*(topB(j)-bottomB(j)); + normoverlap(i,j) = min(tmp/areaA, tmp/areaB); + end + %fprintf('j=%d, i=%d, overlap=%5.3f, norm=%5.3f\n',... + % j, i, overlap(i,j), normoverlap(i,j)); + end +end + + +if 0 +N = size(bboxDense01,2); % 1000; +rect = bboxToRect(bboxDense01)'; +A = rect(1:2,:); +B = rect(1:N,:); + +tic; out1 = rectint(A, B); toc +tic; out2 = rectintSparse(A, B); toc +tic; out3 = rectintSparseC(A, B); toc +tic; out4 = rectintC(A, B); toc +assert(approxeq(out1, out2)) +assert(approxeq(out1, full(out3))) +assert(approxeq(out1, out4)) +end diff --git a/sourcecodes/bnt-master/KPMtools/rectintSparseC.m b/sourcecodes/bnt-master/KPMtools/rectintSparseC.m new file mode 100644 index 00000000..401d7dc3 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rectintSparseC.m @@ -0,0 +1,32 @@ +function [overlap, normoverlap] = rectintSparseC(A,B) +% +% function [area, normarea] = rectintSparseC(A,B) +% A(i,:) = [x y w h] +% B(j,:) = [x y w h] +% out(i,j) = area of intersection +% +% Same as built-in rectint, but uses less memory. +% Also, returns area of overlap normalized by area of patch. +% See rectintSparse + +if isempty(A) | isempty(B) + overlap = []; + normoverlap = []; + return; +end + +leftA = A(:,1); +bottomA = A(:,2); +rightA = leftA + A(:,3); +topA = bottomA + A(:,4); + +leftB = B(:,1)'; +bottomB = B(:,2)'; +rightB = leftB + B(:,3)'; +topB = bottomB + B(:,4)'; + +numRectA = size(A,1); +numRectB = size(B,1); + +verbose = 0; +[overlap, normoverlap] = rectintSparseLoopC(leftA, rightA, topA, bottomA, leftB, rightB, topB, bottomB, verbose); diff --git a/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.c b/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.c new file mode 100644 index 00000000..38ed08d5 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.c @@ -0,0 +1,147 @@ +/* This is based on +http://www.mathworks.com/access/helpdesk/help/techdoc/matlab_external/ch04cr12.shtml + +See rectintSparse.m for the matlab version of this code. + +*/ + +#include /* Needed for the ceil() prototype. */ +#include "mex.h" +#include + +/* If you are using a compiler that equates NaN to be zero, you + * must compile this example using the flag -DNAN_EQUALS_ZERO. + * For example: + * + * mex -DNAN_EQUALS_ZERO fulltosparse.c + * + * This will correctly define the IsNonZero macro for your C + * compiler. + */ + +#if defined(NAN_EQUALS_ZERO) +#define IsNonZero(d) ((d) != 0.0 || mxIsNaN(d)) +#else +#define IsNonZero(d) ((d) != 0.0) +#endif + +#define MAX(x,y) ((x)>(y) ? (x) : (y)) +#define MIN(x,y) ((x)<(y) ? (x) : (y)) + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[] + ) +{ + /* Declare variables. */ + int j,k,m,n,nzmax,*irs,*jcs, *irs2, *jcs2; + double *overlap, *overlap2, tmp, areaA, areaB; + double percent_sparse; + double *leftA, *rightA, *topA, *bottomA; + double *leftB, *rightB, *topB, *bottomB; + double *verbose; + + /* Get the size and pointers to input data. */ + m = MAX(mxGetM(prhs[0]), mxGetN(prhs[0])); + n = MAX(mxGetM(prhs[4]), mxGetN(prhs[4])); + /* printf("A=%d, B=%d\n", m, n); */ + + leftA = mxGetPr(prhs[0]); + rightA = mxGetPr(prhs[1]); + topA = mxGetPr(prhs[2]); + bottomA = mxGetPr(prhs[3]); + + leftB = mxGetPr(prhs[4]); + rightB = mxGetPr(prhs[5]); + topB = mxGetPr(prhs[6]); + bottomB = mxGetPr(prhs[7]); + + verbose = mxGetPr(prhs[8]); + + /* Allocate space for sparse matrix. + * NOTE: Assume at most 20% of the data is sparse. Use ceil + * to cause it to round up. + */ + + percent_sparse = 0.01; + nzmax = (int)ceil((double)m*(double)n*percent_sparse); + + plhs[0] = mxCreateSparse(m,n,nzmax,0); + overlap = mxGetPr(plhs[0]); + irs = mxGetIr(plhs[0]); + jcs = mxGetJc(plhs[0]); + + plhs[1] = mxCreateSparse(m,n,nzmax,0); + overlap2 = mxGetPr(plhs[1]); + irs2 = mxGetIr(plhs[1]); + jcs2 = mxGetJc(plhs[1]); + + + /* Assign nonzeros. */ + k = 0; + for (j = 0; (j < n); j++) { + int i; + jcs[j] = k; + jcs2[j] = k; + for (i = 0; (i < m); i++) { + tmp = (MAX(0, MIN(rightA[i], rightB[j]) - MAX(leftA[i], leftB[j]) )) * + (MAX(0, MIN(topA[i], topB[j]) - MAX(bottomA[i], bottomB[j]) )); + + if (*verbose) { + printf("j=%d,i=%d,tmp=%5.3f\n", j,i,tmp); + } + + if (IsNonZero(tmp)) { + + /* Check to see if non-zero element will fit in + * allocated output array. If not, increase + * percent_sparse by 20%, recalculate nzmax, and augment + * the sparse array. + */ + if (k >= nzmax) { + int oldnzmax = nzmax; + percent_sparse += 0.2; + nzmax = (int)ceil((double)m*(double)n*percent_sparse); + + /* Make sure nzmax increases atleast by 1. */ + if (oldnzmax == nzmax) + nzmax++; + printf("reallocating from %d to %d\n", oldnzmax, nzmax); + + mxSetNzmax(plhs[0], nzmax); + mxSetPr(plhs[0], mxRealloc(overlap, nzmax*sizeof(double))); + mxSetIr(plhs[0], mxRealloc(irs, nzmax*sizeof(int))); + overlap = mxGetPr(plhs[0]); + irs = mxGetIr(plhs[0]); + + mxSetNzmax(plhs[1], nzmax); + mxSetPr(plhs[1], mxRealloc(overlap2, nzmax*sizeof(double))); + mxSetIr(plhs[1], mxRealloc(irs2, nzmax*sizeof(int))); + overlap2 = mxGetPr(plhs[1]); + irs2 = mxGetIr(plhs[1]); + } + + overlap[k] = tmp; + irs[k] = i; + + areaA = (rightA[i]-leftA[i])*(topA[i]-bottomA[i]); + areaB = (rightB[j]-leftB[j])*(topB[j]-bottomB[j]); + overlap2[k] = MIN(tmp/areaA, tmp/areaB); + irs2[k] = i; + + k++; + } /* IsNonZero */ + } /* for i */ + } + jcs[n] = k; + jcs2[n] = k; + +} + + + + + + + + diff --git a/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.dll b/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.dll new file mode 100644 index 00000000..ea535baa Binary files /dev/null and b/sourcecodes/bnt-master/KPMtools/rectintSparseLoopC.dll differ diff --git a/sourcecodes/bnt-master/KPMtools/repmatC.c b/sourcecodes/bnt-master/KPMtools/repmatC.c new file mode 100644 index 00000000..6062772c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/repmatC.c @@ -0,0 +1,149 @@ +/* +mex -c mexutil.c +mex repmat.c mexutil.obj +to check for warnings: +gcc -Wall -I/cygdrive/c/MATLAB6p1/extern/include -c repmat.c +*/ +#include "mexutil.h" +#include + +/* repeat a block of memory rep times */ +void memrep(char *dest, size_t chunk, int rep) +{ +#if 0 + /* slow way */ + int i; + char *p = dest; + for(i=1;i>1); +#endif +} + +void repmat(char *dest, const char *src, int ndim, int *destdimsize, + int *dimsize, const int *dims, int *rep) +{ + int d = ndim-1; + int i, chunk; + /* copy the first repetition into dest */ + if(d == 0) { + chunk = dimsize[0]; + memcpy(dest,src,chunk); + } + else { + /* recursively repeat each slice of src */ + for(i=0;i ndimdest) ndimdest = nrep; + rep = mxCalloc(ndimdest, sizeof(int)); + for(i=0;i ndimdest) ndimdest = nrep; + rep = mxCalloc(ndimdest, sizeof(int)); + for(i=0;i ndim) memrep(dest,destdimsize[ndim-1],extra_rep); + if(mxIsComplex(srcmat)) { + src = (char*)mxGetPi(srcmat); + dest = (char*)mxGetPi(plhs[0]); + repmat(dest,src,ndim,destdimsize,dimsize,dims,rep); + if(ndimdest > ndim) memrep(dest,destdimsize[ndim-1],extra_rep); + } +} diff --git a/sourcecodes/bnt-master/KPMtools/repmatC.dll b/sourcecodes/bnt-master/KPMtools/repmatC.dll new file mode 100644 index 00000000..3b9ed6cb Binary files /dev/null and b/sourcecodes/bnt-master/KPMtools/repmatC.dll differ diff --git a/sourcecodes/bnt-master/KPMtools/rgb2grayKPM.m b/sourcecodes/bnt-master/KPMtools/rgb2grayKPM.m new file mode 100644 index 00000000..e15434f0 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rgb2grayKPM.m @@ -0,0 +1,11 @@ +function g = rgb2grayKPM(rgb) +% function g = rgb2grayKPM(rgb) +% rgb2grayKPM Like the built-in function, but if r is already gray, does not cause an error + +[nr nc ncolors] = size(rgb); +if ncolors > 1 + g = rgb2gray(rgb); +else + g = rgb; +end + diff --git a/sourcecodes/bnt-master/KPMtools/rnd_partition.m b/sourcecodes/bnt-master/KPMtools/rnd_partition.m new file mode 100644 index 00000000..da01bf08 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rnd_partition.m @@ -0,0 +1,13 @@ +function [train, test] = rnd_partition(data, train_percent); +% function [train, test] = rnd_partition(data, train_percent); +% +% data(:,i) is the i'th example +% train_percent of these columns get put into train, the rest into test + +N = size(data, 2); +ndx = randperm(N); +k = ceil(N*train_percent); +train_ndx = ndx(1:k); +test_ndx = ndx(k+1:end); +train = data(:, train_ndx); +test = data(:, test_ndx); diff --git a/sourcecodes/bnt-master/KPMtools/rotate_xlabel.m b/sourcecodes/bnt-master/KPMtools/rotate_xlabel.m new file mode 100644 index 00000000..35f7c48c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/rotate_xlabel.m @@ -0,0 +1,37 @@ +function hText = rotate_xlabel(degrees, newlabels) + +% Posted to comp.soft-sys.matlab on 2003-05-01 13:45:36 PST +% by David Borger (borger@ix.netcom.com) + +xtl = get(gca,'XTickLabel'); +set(gca,'XTickLabel',''); +lxtl = length(xtl); +xtl = newlabels; +if 0 % nargin>1 + lnl = length(newlabels); + if lnl~=lxtl + error('Number of new labels must equal number of old'); + end; + xtl = newlabels; +end; + + +hxLabel=get(gca,'XLabel'); +xLP=get(hxLabel,'Position'); +y=xLP(2); +XTick=get(gca,'XTick'); +y=repmat(y,length(XTick),1); +%fs=get(gca,'fontsize'); +fs = 12; +hText=text(XTick,y,xtl,'fontsize',fs); +set(hText,'Rotation',degrees,'HorizontalAlignment','right'); + +% Modifications by KPM + +ylim = get(gca,'ylim'); +height = ylim(2)-ylim(1); +N = length(hText); +for i=1:N + voffset = ylim(2) - 0*height; + set(hText(i), 'position', [i voffset 0]); +end diff --git a/sourcecodes/bnt-master/KPMtools/safeStr.m b/sourcecodes/bnt-master/KPMtools/safeStr.m new file mode 100644 index 00000000..f775a2a9 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/safeStr.m @@ -0,0 +1,5 @@ +function s = safeStr(s) +% Change punctuation characters to they print properly + +s = strrep(s, '\', '/'); +s = strrep(s, '_', '-'); diff --git a/sourcecodes/bnt-master/KPMtools/sampleUniformInts.m b/sourcecodes/bnt-master/KPMtools/sampleUniformInts.m new file mode 100644 index 00000000..d4c6c1a4 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/sampleUniformInts.m @@ -0,0 +1,6 @@ +function M = sampleUniformInts(N, r, c) + +% M is an rxc matrix of integers in 1..N + +prob = normalize(ones(N,1)); +M = sample_discrete(prob, r, c); diff --git a/sourcecodes/bnt-master/KPMtools/sample_discrete.m b/sourcecodes/bnt-master/KPMtools/sample_discrete.m new file mode 100644 index 00000000..d8f6b687 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/sample_discrete.m @@ -0,0 +1,40 @@ +function M = sample_discrete(prob, r, c) +% SAMPLE_DISCRETE Like the built in 'rand', except we draw from a non-uniform discrete distrib. +% M = sample_discrete(prob, r, c) +% +% Example: sample_discrete([0.8 0.2], 1, 10) generates a row vector of 10 random integers from {1,2}, +% where the prob. of being 1 is 0.8 and the prob of being 2 is 0.2. + +n = length(prob); + +if nargin == 1 + r = 1; c = 1; +elseif nargin == 2 + c == r; +end + +R = rand(r, c); +M = ones(r, c); +cumprob = cumsum(prob(:)); + +if n < r*c + for i = 1:n-1 + M = M + (R > cumprob(i)); + end +else + % loop over the smaller index - can be much faster if length(prob) >> r*c + cumprob2 = cumprob(1:end-1); + for i=1:r + for j=1:c + M(i,j) = sum(R(i,j) > cumprob2)+1; + end + end +end + + +% Slower, even though vectorized +%cumprob = reshape(cumsum([0 prob(1:end-1)]), [1 1 n]); +%M = sum(R(:,:,ones(n,1)) > cumprob(ones(r,1),ones(c,1),:), 3); + +% convert using a binning algorithm +%M=bindex(R,cumprob); diff --git a/sourcecodes/bnt-master/KPMtools/set_xtick_label.m b/sourcecodes/bnt-master/KPMtools/set_xtick_label.m new file mode 100644 index 00000000..72f0f170 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/set_xtick_label.m @@ -0,0 +1,51 @@ +function set_xtick_label(tick_labels, angle, axis_label) +% SET_XTICK_LABEL Print the xtick labels at an angle instead of horizontally +% set_xtick_label(tick_labels, angle, axis_label) +% +% angle default = 90 +% axis_label default = '' +% +% This is derived from Solution Number: 5375 on mathworks.com +% See set_xtick_label_demo for an example + +if nargin < 2, angle = 90; end +if nargin < 3, axis_label = []; end + +% Reduce the size of the axis so that all the labels fit in the figure. +pos = get(gca,'Position'); +%set(gca,'Position',[pos(1), .2, pos(3) .65]) +%set(gca,'Position',[pos(1), 0, pos(3) .45]) +%set(gca,'Position',[pos(1), 0.1, pos(3) 0.5]) + +ax = axis; % Current axis limits +axis(axis); % Fix the axis limits +Yl = ax(3:4); % Y-axis limits + +%set(gca, 'xtick', 1:length(tick_labels)); +set(gca, 'xtick', 0.7:1:length(tick_labels)); +Xt = get(gca, 'xtick'); + +% Place the text labels +t = text(Xt,Yl(1)*ones(1,length(Xt)),tick_labels); +set(t,'HorizontalAlignment','right','VerticalAlignment','top', 'Rotation', angle); + +% Remove the default labels +set(gca,'XTickLabel','') + +% Get the Extent of each text object. This +% loop is unavoidable. +for i = 1:length(t) + ext(i,:) = get(t(i),'Extent'); +end + +% Determine the lowest point. The X-label will be +% placed so that the top is aligned with this point. +LowYPoint = min(ext(:,2)); + +% Place the axis label at this point +if ~isempty(axis_label) + Xl = get(gca, 'Xlim'); + XMidPoint = Xl(1)+abs(diff(Xl))/2; + tl = text(XMidPoint,LowYPoint, axis_label, 'VerticalAlignment','top', ... + 'HorizontalAlignment','center'); +end diff --git a/sourcecodes/bnt-master/KPMtools/set_xtick_label_demo.m b/sourcecodes/bnt-master/KPMtools/set_xtick_label_demo.m new file mode 100644 index 00000000..e7c71f80 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/set_xtick_label_demo.m @@ -0,0 +1,52 @@ + +% Generate some test data. Assume that the X-axis represents months. +x = 1:12; +y = 10*rand(1,length(x)); + +% Plot the data. +h = plot(x,y,'+'); + +% Add a title. +title('This is a title') + +% Set the X-Tick locations so that every other month is labeled. +Xt = 1:2:11; +Xl = [1 12]; +set(gca,'XTick',Xt,'XLim',Xl); + +% Add the months as tick labels. +months = ['Jan'; + 'Feb'; + 'Mar'; + 'Apr'; + 'May'; + 'Jun'; + 'Jul'; + 'Aug'; + 'Sep'; + 'Oct'; + 'Nov'; + 'Dec']; + +set_xtick_label(months(1:2:12, :), 90, 'xaxis label'); + + + +if 0 + + +% Generate some test data. Assume that the X-axis represents months. +x = 1:8; +y = 10*rand(1,length(x)); + +% Plot the data. +h = plot(x,y,'+'); + +S = subsets(1:3); +str = cell(1,8); +for i=1:2^3 + str{i} = num2str(S{i}); +end +set_xtick_label(str); + +end diff --git a/sourcecodes/bnt-master/KPMtools/setdiag.m b/sourcecodes/bnt-master/KPMtools/setdiag.m new file mode 100644 index 00000000..30bfa60a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/setdiag.m @@ -0,0 +1,21 @@ +function M = setdiag(M, v) +% SETDIAG Set the diagonal of a matrix to a specified scalar/vector. +% M = set_diag(M, v) + +n = length(M); +if length(v)==1 + v = repmat(v, 1, n); +end + +% e.g., for 3x3 matrix, elements are numbered +% 1 4 7 +% 2 5 8 +% 3 6 9 +% so diagnoal = [1 5 9] + + +J = 1:n+1:n^2; +M(J) = v; + +%M = triu(M,1) + tril(M,-1) + diag(v); + diff --git a/sourcecodes/bnt-master/KPMtools/softeye.m b/sourcecodes/bnt-master/KPMtools/softeye.m new file mode 100644 index 00000000..29f45ee4 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/softeye.m @@ -0,0 +1,11 @@ +function M = softeye(K, p) +% SOFTEYE Make a stochastic matrix with p on the diagonal, and the remaining mass distributed uniformly +% M = softeye(K, p) +% +% M is a K x K matrix. + +M = p*eye(K); +q = 1-p; +for i=1:K + M(i, [1:i-1 i+1:K]) = q/(K-1); +end diff --git a/sourcecodes/bnt-master/KPMtools/sort_evec.m b/sourcecodes/bnt-master/KPMtools/sort_evec.m new file mode 100644 index 00000000..e934aa56 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/sort_evec.m @@ -0,0 +1,22 @@ +function [evec, evals] = sort_evec(temp_evec, temp_evals, N) + +if ~isvectorBNT(temp_evals) + temp_evals = diag(temp_evals); +end + +% Eigenvalues nearly always returned in descending order, but just +% to make sure..... +[evals perm] = sort(-temp_evals); +evals = -evals(1:N); +if evals == temp_evals(1:N) + % Originals were in order + evec = temp_evec(:, 1:N); + return +else + fprintf('sorting evec\n'); + % Need to reorder the eigenvectors + for i=1:N + evec(:,i) = temp_evec(:,perm(i)); + end +end + diff --git a/sourcecodes/bnt-master/KPMtools/splitLongSeqIntoManyShort.m b/sourcecodes/bnt-master/KPMtools/splitLongSeqIntoManyShort.m new file mode 100644 index 00000000..e96d45f8 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/splitLongSeqIntoManyShort.m @@ -0,0 +1,16 @@ +function short = splitLongSeqIntoManyShort(long, Tsmall) +% splitLongSeqIntoManyShort Put groups of columns into a cell array of narrower matrices +% function short = splitLongSeqIntoManyShort(long, Tsmall) +% +% long(:,t) +% short{i} = long(:,ndx1:ndx2) where each segment (except maybe the last) is of length Tsmall + +T = length(long); +Nsmall = ceil(T/Tsmall); +short = cell(Nsmall,1); + +t = 1; +for i=1:Nsmall + short{i} = long(:,t:min(T,t+Tsmall-1)); + t = t+Tsmall; +end diff --git a/sourcecodes/bnt-master/KPMtools/sprintf_intvec.m b/sourcecodes/bnt-master/KPMtools/sprintf_intvec.m new file mode 100644 index 00000000..673ab922 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/sprintf_intvec.m @@ -0,0 +1,9 @@ +function s = sprintf_intvec(v) +% SPRINTF_INTVEC Print a vector of ints as comma separated string, with no trailing comma +% function s = sprintf_intvec(v) +% +% e.g., sprintf_intvec(1:3) returns '1,2,3' + +s = sprintf('%d,', v); +s = s(1:end-1); + diff --git a/sourcecodes/bnt-master/KPMtools/sqdist.m b/sourcecodes/bnt-master/KPMtools/sqdist.m new file mode 100644 index 00000000..45d1b18b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/sqdist.m @@ -0,0 +1,29 @@ +function m = sqdist(p, q, A) +% SQDIST Squared Euclidean or Mahalanobis distance. +% SQDIST(p,q) returns m(i,j) = (p(:,i) - q(:,j))'*(p(:,i) - q(:,j)). +% SQDIST(p,q,A) returns m(i,j) = (p(:,i) - q(:,j))'*A*(p(:,i) - q(:,j)). + +% From Tom Minka's lightspeed toolbox + +[d, pn] = size(p); +[d, qn] = size(q); + +if nargin == 2 + + pmag = sum(p .* p, 1); + qmag = sum(q .* q, 1); + m = repmat(qmag, pn, 1) + repmat(pmag', 1, qn) - 2*p'*q; + %m = ones(pn,1)*qmag + pmag'*ones(1,qn) - 2*p'*q; + +else + + if isempty(A) | isempty(p) + error('sqdist: empty matrices'); + end + Ap = A*p; + Aq = A*q; + pmag = sum(p .* Ap, 1); + qmag = sum(q .* Aq, 1); + m = repmat(qmag, pn, 1) + repmat(pmag', 1, qn) - 2*p'*Aq; + +end diff --git a/sourcecodes/bnt-master/KPMtools/strmatch_multi.m b/sourcecodes/bnt-master/KPMtools/strmatch_multi.m new file mode 100644 index 00000000..c29f326d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/strmatch_multi.m @@ -0,0 +1,30 @@ +function [posns] = strmatch_multi(keys, strs) +% STRMATCH_MULTI Find where each key occurs in list of strings. +% [pos] = strmatch_multi(key, strs) where key is a string and strs is a cell array of strings +% works like the built-in command sequence pos = strmatch(key, strs, 'exact'), +% except that pos is the first occurrence of key in strs; if there is no occurence, pos is 0. +% +% [posns] = strmatch_multi(keys, strs), where keys is a cell array of strings, +% matches each element of keys. It loops over whichever is shorter, keys or strs. + +if ~iscell(keys), keys = {keys}; end +nkeys = length(keys); +posns = zeros(1, nkeys); +if length(keys) < length(strs) + for i=1:nkeys + %pos = strmatch(keys{i}, strs, 'exact'); + ndx = strcmp(keys{i}, strs); % faster + pos = find(ndx); + if ~isempty(pos) + posns(i) = pos(1); + end + end +else + for s=1:length(strs) + %ndx = strmatch(strs{s}, keys, 'exact'); + ndx = strcmp(strs{s}, keys); + ndx = find(ndx); + posns(ndx) = s; + end +end + diff --git a/sourcecodes/bnt-master/KPMtools/strmatch_substr.m b/sourcecodes/bnt-master/KPMtools/strmatch_substr.m new file mode 100644 index 00000000..7a1e431f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/strmatch_substr.m @@ -0,0 +1,28 @@ +function ndx = strmatch_substr(str, strs) +% STRMATCH_SUBSTR Like strmatch, except str can match any part of strs{i}, not just prefix. +% ndx = strmatch_substr(str, strs) +% +% Example: +% i = strmatch('max', {'max','minimax','maximum'}) +% returns i = [1; 3] since only 1 and 3 begin with max, but +% i = strmatch_substr('max', {'max','minimax','maximum'}) +% returns i = [1;2;3]; +% +% If str is also a cell array, it is like calling strmatch_substr several times +% and concatenating the results. +% Example: +% +% i = strmatch_substr({'foo', 'dog'}, {'foo', 'hoofoo', 'dog'}) +% returns i = [1;2;3] + +ndx = []; +if ~iscell(str), str = {str}; end +for j=1:length(str) + for i=1:length(strs) + %ind = strfind(strs{i}, str{j}); % not supported in 6.0 + ind = findstr(strs{i}, str{j}); + if ~isempty(ind) + ndx = [ndx; i]; + end + end +end diff --git a/sourcecodes/bnt-master/KPMtools/strsplit.m b/sourcecodes/bnt-master/KPMtools/strsplit.m new file mode 100644 index 00000000..695c1635 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/strsplit.m @@ -0,0 +1,53 @@ +function parts = strsplit(splitstr, str, option) +%STRSPLIT Split string into pieces. +% +% STRSPLIT(SPLITSTR, STR, OPTION) splits the string STR at every occurrence +% of SPLITSTR and returns the result as a cell array of strings. By default, +% SPLITSTR is not included in the output. +% +% STRSPLIT(SPLITSTR, STR, OPTION) can be used to control how SPLITSTR is +% included in the output. If OPTION is 'include', SPLITSTR will be included +% as a separate string. If OPTION is 'append', SPLITSTR will be appended to +% each output string, as if the input string was split at the position right +% after the occurrence SPLITSTR. If OPTION is 'omit', SPLITSTR will not be +% included in the output. + +% Author: Peter J. Acklam +% Time-stamp: 2004-09-22 08:48:01 +0200 +% E-mail: pjacklam@online.no +% URL: http://home.online.no/~pjacklam + + nargsin = nargin; + error(nargchk(2, 3, nargsin)); + if nargsin < 3 + option = 'omit'; + else + option = lower(option); + end + + splitlen = length(splitstr); + parts = {}; + + while 1 + + k = strfind(str, splitstr); + if isempty(k) + parts{end+1} = str; + break + end + + switch option + case 'include' + parts(end+1:end+2) = {str(1:k(1)-1), splitstr}; + case 'append' + parts{end+1} = str(1 : k(1)+splitlen-1); + case 'omit' + parts{end+1} = str(1 : k(1)-1); + otherwise + error(['Invalid option string -- ', option]); + end + + + str = str(k(1)+splitlen : end); + + end diff --git a/sourcecodes/bnt-master/KPMtools/subplot2.m b/sourcecodes/bnt-master/KPMtools/subplot2.m new file mode 100644 index 00000000..fb8c1c2f --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subplot2.m @@ -0,0 +1,17 @@ +function subplot2(nrows, ncols, i, j) +% function subplot2(nrows, ncols, i, j) + + +sz = [nrows ncols]; +%k = sub2ind(sz, i, j) +k = sub2ind(sz(end:-1:1), j, i); +subplot(nrows, ncols, k); + +if 0 + ncols_plot = ceil(sqrt(Nplots)); + nrows_plot = ceil(Nplots/ncols_plot); + Nplots = nrows_plot*ncols_plot; + for p=1:Nplots + subplot(nrows_plot, ncols_plot, p); + end +end diff --git a/sourcecodes/bnt-master/KPMtools/subplot3.m b/sourcecodes/bnt-master/KPMtools/subplot3.m new file mode 100644 index 00000000..0f8d1cc3 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subplot3.m @@ -0,0 +1,13 @@ +function fignum = subplot3(nrows, ncols, fignumBase, plotnumBase) +% function subplot3(nrows, ncols, fignumBase, plotnumBase) +% Choose a subplot number, opening a new figure if necessary +% eg nrows=2, ncols = 2, we plot on (fignum, plotnum) = (1,1), (1,2), (1,3), (1,4), (2,1), ... + +nplotsPerFig = nrows*ncols; +fignum = fignumBase + div(plotnumBase-1, nplotsPerFig); +plotnum = wrap(plotnumBase, nplotsPerFig); +figure(fignum); +if plotnum==1, clf; end +subplot(nrows, ncols, plotnum); + + diff --git a/sourcecodes/bnt-master/KPMtools/subsets.m b/sourcecodes/bnt-master/KPMtools/subsets.m new file mode 100644 index 00000000..47f999f0 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subsets.m @@ -0,0 +1,58 @@ +function [T, bitv] = subsets(S, U, L, sorted, N) +% SUBSETS Create a set of all the subsets of S which have cardinality <= U and >= L +% T = subsets(S, U, L) +% U defaults to length(S), L defaults to 0. +% So subsets(S) generates the powerset of S. +% +% Example: +% T = subsets(1:4, 2, 1) +% T{:} = 1, 2, [1 2], 3, [1 3], [2 3], 4, [1 4], [2 4], [3 4] +% +% T = subsets(S, U, L, sorted) +% If sorted=1, return the subsets in increasing size +% +% Example: +% T = subsets(1:4, 2, 1, 1) +% T{:} = 1, 2, 3, 4, [1 2], [1 3], [2 3], [1 4], [2 4], [3 4] +% +% [T, bitv] = subsets(S, U, L, sorted, N) +% Row i of bitv is a bit vector representation of T{i}, +% where bitv has N columns (representing 1:N). +% N defaults to max(S). +% +% Example: +% [T,bitv] = subsets(2:4, 2^3, 0, 0, 5) +% T{:} = [], 2, 3, [2 3], 4, [2 4], [3 4], [2 3 4] +% bitv= +% 0 0 0 0 0 +% 0 1 0 0 0 +% 0 0 1 0 0 +% 0 1 1 0 0 +% 0 0 0 1 0 +% 0 1 0 1 0 +% 0 0 1 1 0 +% 0 1 1 1 0 + +n = length(S); + +if nargin < 2, U = n; end +if nargin < 3, L = 0; end +if nargin < 4, sorted = 0; end +if nargin < 5, N = max(S); end + +bits = ind2subv(2*ones(1,n), 1:2^n)-1; +sm = sum(bits,2); +masks = bits((sm <= U) & (sm >= L), :); +m = size(masks, 1); +T = cell(1, m); +for i=1:m + s = S(find(masks(i,:))); + T{i} = s; +end + +if sorted + T = sortcell(T); +end + +bitv = zeros(m, N); +bitv(:, S) = masks; diff --git a/sourcecodes/bnt-master/KPMtools/subsets1.m b/sourcecodes/bnt-master/KPMtools/subsets1.m new file mode 100644 index 00000000..ca2bf46c --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subsets1.m @@ -0,0 +1,45 @@ +function sub_s=subsets1(s,k) +% SUBSETS1 creates sub-sets of a specific from a given set +% SS = subsets1(S, k) +% +% S is the given set +% k is the required sub-sets size +% +% Example: +% +% >> ss=subsets1([1:4],3); +% >> ss{:} +% ans = +% 1 2 3 +% ans = +% 1 2 4 +% ans = +% 1 3 4 +% ans = +% 2 3 4 +% +% Written by Raanan Yehezkel, 2004 + +if k<0 % special case + error('subset size must be positive'); +elseif k==0 % special case + sub_s={[]}; +else + l=length(s); + ss={}; + if l>=k + if k==1 % Exit condition + for I=1:l + ss{I}=s(I); + end + else + for I=1:l + ss1=subsets1(s([(I+1):l]),k-1); + for J=1:length(ss1) + ss{end+1}=[s(I),ss1{J}]; + end + end + end + end + sub_s=ss; +end diff --git a/sourcecodes/bnt-master/KPMtools/subsetsFixedSize.m b/sourcecodes/bnt-master/KPMtools/subsetsFixedSize.m new file mode 100644 index 00000000..26808e86 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subsetsFixedSize.m @@ -0,0 +1,45 @@ +function sub_s=subsets1(s,k) +% SUBSETS1 creates sub-sets of a specific size from a given set +% SS = subsets1(S, k) +% +% S is the given set +% k is the required sub-sets size +% +% Example: +% +% >> ss=subsets1([1:4],3); +% >> ss{:} +% ans = +% 1 2 3 +% ans = +% 1 2 4 +% ans = +% 1 3 4 +% ans = +% 2 3 4 +% +% Written by Raanan Yehezkel, 2004 + +if k<0 % special case + error('subset size must be positive'); +elseif k==0 % special case + sub_s={[]}; +else + l=length(s); + ss={}; + if l>=k + if k==1 % Exit condition + for I=1:l + ss{I}=s(I); + end + else + for I=1:l + ss1=subsets1(s([(I+1):l]),k-1); + for J=1:length(ss1) + ss{end+1}=[s(I),ss1{J}]; + end + end + end + end + sub_s=ss; +end diff --git a/sourcecodes/bnt-master/KPMtools/subv2ind.m b/sourcecodes/bnt-master/KPMtools/subv2ind.m new file mode 100644 index 00000000..dd50360d --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subv2ind.m @@ -0,0 +1,17 @@ +function index = subv2ind(siz,sub) +%SUBV2IND Linear index from subscript vector. +% SUBV2IND(SIZ,SUB) returns an equivalent single index corresponding to a +% subscript vector for an array of size SIZ. +% If SUB is a matrix, with subscript vectors as rows, then the result is a +% column vector. +% +% This is the opposite of IND2SUBV, so that +% SUBV2IND(SIZ,IND2SUBV(SIZ,IND)) == IND. +% +% See also IND2SUBV, SUB2IND. + +%index = subv2indTest(siz,sub); +prev_cum_size = [1 cumprod(siz(1:end-1))]; +%index = (sub-1)*prev_cum_size' + 1; +index = sub*prev_cum_size' - sum(prev_cum_size) + 1; + diff --git a/sourcecodes/bnt-master/KPMtools/subv2indKPM.c b/sourcecodes/bnt-master/KPMtools/subv2indKPM.c new file mode 100644 index 00000000..e1ecff42 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/subv2indKPM.c @@ -0,0 +1,89 @@ +/* C mex version of subv2ind*/ +/* 2 inputs, 1 output */ +/* siz, subv */ +/* ndx */ +#include "mex.h" + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]){ + int i, j, k, nCol, nRow, binary, temp; + double *pSize, *pSubv, *pr; + int *cumprod; + + pSize = mxGetPr(prhs[0]); + pSubv = mxGetPr(prhs[1]); + nCol = mxGetNumberOfElements(prhs[0]); + nRow = mxGetM(prhs[1]); + + + if(mxIsEmpty(prhs[1])){ + plhs[0] = mxCreateDoubleMatrix(0, 0, mxREAL); + return; + } + + if(mxIsEmpty(prhs[0])){ + plhs[0] = mxCreateDoubleMatrix(1, 1, mxREAL); + *mxGetPr(plhs[0]) = 1; + return; + } + + binary = 2; + for (i = 0; i < nCol; i++){ + if (pSize[i] > 2.0){ + binary = 0; + break; + } + else if(pSize[i] == 1.0){ + binary = 1; + } + } + + plhs[0] = mxCreateDoubleMatrix(nRow, 1, mxREAL); + pr = mxGetPr(plhs[0]); + for(i=0; i max_y), max_y=pos(4)+pos(2)+ff/5*2;end; + else, + oldtitle = h(i); + end +end + +if max_y > plotregion, + scale = (plotregion-min_y)/(max_y-min_y); + for i=1:length(h), + pos = get(h(i),'position'); + pos(2) = (pos(2)-min_y)*scale+min_y; + pos(4) = pos(4)*scale-(1-scale)*ff/5*3; + set(h(i),'position',pos); + end +end + +np = get(gcf,'nextplot'); +set(gcf,'nextplot','add'); +if (oldtitle), + delete(oldtitle); +end +ha=axes('pos',[0 1 1 1],'visible','off','Tag','suptitle'); +ht=text(.5,titleypos-1,str);set(ht,'horizontalalignment','center','fontsize',fs); +set(gcf,'nextplot',np); +axes(haold); +if nargout, + hout=ht; +end + + + diff --git a/sourcecodes/bnt-master/KPMtools/unaryEncoding.m b/sourcecodes/bnt-master/KPMtools/unaryEncoding.m new file mode 100644 index 00000000..ab0316a3 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/unaryEncoding.m @@ -0,0 +1,16 @@ +function U = unaryEncoding(data, K) +% unaryEncoding Encode data(s) as a 1-of-K column vector +% function U = unaryEncoding(data, K) +% +% eg. +% If data = [3 2 2] and K=3, +% then U = [0 0 0 +% 0 1 1 +% 1 0 0] + +if nargin < 2, K = max(data); end +N = length(data); +U = zeros(K,N); +ndx = subv2ind([K N], [data(:)'; 1:N]'); +U(ndx) = 1; +U = reshape(U, [K N]); diff --git a/sourcecodes/bnt-master/KPMtools/wrap.m b/sourcecodes/bnt-master/KPMtools/wrap.m new file mode 100644 index 00000000..9a5f2a2a --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/wrap.m @@ -0,0 +1,7 @@ +function v = wrap(u,N) +% WRAP Wrap a vector of indices around a torus. +% v = wrap(u,N) +% +% e.g., wrap([-1 0 1 2 3 4], 3) = 2 3 1 2 3 1 + +v = mod(u-1,N)+1; diff --git a/sourcecodes/bnt-master/KPMtools/xticklabel_rotate90.m b/sourcecodes/bnt-master/KPMtools/xticklabel_rotate90.m new file mode 100644 index 00000000..374c13b2 --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/xticklabel_rotate90.m @@ -0,0 +1,68 @@ +function xticklabel_rotate90(XTick,varargin) +%XTICKLABEL_ROTATE90 - Rotate numeric Xtick labels by 90 degrees +% +% Syntax: xticklabel_rotate90(XTick) +% +% Input: XTick - vector array of XTick positions & values (numeric) +% +% Output: none +% +% Example 1: Set the positions of the XTicks and rotate them +% figure; plot([1960:2004],randn(45,1)); xlim([1960 2004]); +% xticklabel_rotate90([1960:2:2004]); +% %If you wish, you may set a few text "Property-value" pairs +% xticklabel_rotate90([1960:2:2004],'Color','m','Fontweight','bold'); +% +% Example 2: %Rotate XTickLabels at their current position +% XTick = get(gca,'XTick'); +% xticklabel_rotate90(XTick); +% +% Other m-files required: none +% Subfunctions: none +% MAT-files required: none +% +% See also: TEXT, SET + +% Author: Denis Gilbert, Ph.D., physical oceanography +% Maurice Lamontagne Institute, Dept. of Fisheries and Oceans Canada +% email: gilbertd@dfo-mpo.gc.ca Web: http://www.qc.dfo-mpo.gc.ca/iml/ +% February 1998; Last revision: 24-Mar-2003 + +if ~isnumeric(XTick) + error('XTICKLABEL_ROTATE90 requires a numeric input argument'); +end + +%Make sure XTick is a column vector +XTick = XTick(:); + +%Set the Xtick locations and set XTicklabel to an empty string +set(gca,'XTick',XTick,'XTickLabel','') + +% Define the xtickLabels +xTickLabels = num2str(XTick); + +% Determine the location of the labels based on the position +% of the xlabel +hxLabel = get(gca,'XLabel'); % Handle to xlabel +xLabelString = get(hxLabel,'String'); + +if ~isempty(xLabelString) + warning('You may need to manually reset the XLABEL vertical position') +end + +set(hxLabel,'Units','data'); +xLabelPosition = get(hxLabel,'Position'); +y = xLabelPosition(2); + +%CODE below was modified following suggestions from Urs Schwarz +y=repmat(y,size(XTick,1),1); +% retrieve current axis' fontsize +fs = get(gca,'fontsize'); + +% Place the new xTickLabels by creating TEXT objects +hText = text(XTick, y, xTickLabels,'fontsize',fs); + +% Rotate the text objects by 90 degrees +set(hText,'Rotation',90,'HorizontalAlignment','right',varargin{:}) + +%------------- END OF CODE -------------- diff --git a/sourcecodes/bnt-master/KPMtools/zipload.m b/sourcecodes/bnt-master/KPMtools/zipload.m new file mode 100644 index 00000000..a66dbd1b --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/zipload.m @@ -0,0 +1,47 @@ +%ZIPLOAD Load compressed data file created with ZIPSAVE +% +% [data] = zipload( filename ) +% filename: string variable that contains the name of the +% compressed file (do not include '.zip' extension) +% Use only with files created with 'zipsave' +% pkzip25.exe has to be in the matlab path. This file is a compression utility +% made by Pkware, Inc. It can be dowloaded from: http://www.pkware.com +% Or directly from ftp://ftp.pkware.com/pk250c32.exe, for the Windows 95/NT version. +% This function was tested using 'PKZIP 2.50 Command Line for Windows 9x/NT' +% It is important to use version 2.5 of the utility. Otherwise the command line below +% has to be changed to include the proper options of the compression utility you +% wish to use. +% This function was tested in MATLAB Version 5.3 under Windows NT. +% Fernando A. Brucher - May/25/1999 +% +% Example: +% [loadedData] = zipload('testfile'); +%-------------------------------------------------------------------- + +function [data] = zipload( filename ) + +%--- Decompress data file by calling pkzip (comand line command) --- +% Options used: +% 'extract' = decompress file +% 'silent' = no console output +% 'over=all' = overwrite files + +%eval( ['!pkzip25 -extract -silent -over=all ', filename, '.zip'] ) +eval( ['!pkzip25 -extract -silent -over=all ', filename, '.zip'] ) + + +%--- Load data from decompressed file --- +% try, catch takes care of cases when pkzip fails to decompress a +% valid matlab format file + +try + tmpStruc = load( filename ); + data = tmpStruc.data; +catch, return, end + + +%--- Delete decompressed file --- + +delete( [filename,'.mat'] ) + + diff --git a/sourcecodes/bnt-master/KPMtools/zipsave.m b/sourcecodes/bnt-master/KPMtools/zipsave.m new file mode 100644 index 00000000..81f8b20e --- /dev/null +++ b/sourcecodes/bnt-master/KPMtools/zipsave.m @@ -0,0 +1,42 @@ +%ZIPSAVE Save data in compressed format +% +% zipsave( filename, data ) +% filename: string variable that contains the name of the resulting +% compressed file (do not include '.zip' extension) +% pkzip25.exe has to be in the matlab path. This file is a compression utility +% made by Pkware, Inc. It can be dowloaded from: http://www.pkware.com +% This function was tested using 'PKZIP 2.50 Command Line for Windows 9x/NT' +% It is important to use version 2.5 of the utility. Otherwise the command line below +% has to be changed to include the proper options of the compression utility you +% wish to use. +% This function was tested in MATLAB Version 5.3 under Windows NT. +% Fernando A. Brucher - May/25/1999 +% +% Example: +% testData = [1 2 3; 4 5 6; 7 8 9]; +% zipsave('testfile', testData); +% +% Modified by Kevin Murphy, 26 Feb 2004, to use winzip +%------------------------------------------------------------------------ + +function zipsave( filename, data ) + +%--- Save data in a temporary file in matlab format (.mat)--- + +eval( ['save ''', filename, ''' data'] ) + + +%--- Compress data by calling pkzip (comand line command) --- +% Options used: +% 'add' = add compressed files to the resulting zip file +% 'silent' = no console output +% 'over=all' = overwrite files + +%eval( ['!pkzip25 -silent -add -over=all ', filename, '.zip ', filename,'.mat'] ) +eval( ['!zip ', filename, '.zip ', filename,'.mat'] ) + +%--- Delete temporary matlab format file --- + +delete( [filename,'.mat'] ) + + diff --git a/sourcecodes/bnt-master/Kalman/AR_to_SS.m b/sourcecodes/bnt-master/Kalman/AR_to_SS.m new file mode 100644 index 00000000..3a60e492 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/AR_to_SS.m @@ -0,0 +1,39 @@ +function [F,H,Q,R,initx, initV] = AR_to_SS(coef, C, y) +% +% Convert a vector auto-regressive model of order k to state-space form. +% [F,H,Q,R] = AR_to_SS(coef, C, y) +% +% X(i) = A(1) X(i-1) + ... + A(k) X(i-k+1) + v, where v ~ N(0, C) +% and A(i) = coef(:,:,i) is the weight matrix for i steps ago. +% We initialize the state vector with [y(:,k)' ... y(:,1)']', since +% the state vector stores [X(i) ... X(i-k+1)]' in order. + +[s s2 k] = size(coef); % s is the size of the state vector +bs = s * ones(1,k); % size of each block + +F = zeros(s*k); +for i=1:k + F(block(1,bs), block(i,bs)) = coef(:,:,i); +end +for i=1:k-1 + F(block(i+1,bs), block(i,bs)) = eye(s); +end + +H = zeros(1*s, k*s); +% we get to see the most recent component of the state vector +H(block(1,bs), block(1,bs)) = eye(s); +%for i=1:k +% H(block(1,bs), block(i,bs)) = eye(s); +%end + +Q = zeros(k*s); +Q(block(1,bs), block(1,bs)) = C; + +R = zeros(s); + +initx = zeros(k*s, 1); +for i=1:k + initx(block(i,bs)) = y(:, k-i+1); % concatenate the first k observation vectors +end + +initV = zeros(k*s); % no uncertainty about the state (since perfectly observable) diff --git a/sourcecodes/bnt-master/Kalman/CVS/Entries b/sourcecodes/bnt-master/Kalman/CVS/Entries new file mode 100644 index 00000000..8f3e6494 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/CVS/Entries @@ -0,0 +1,19 @@ +/AR_to_SS.m/1.1.1.1/Wed May 29 15:59:56 2002// +/README.txt/1.1.1.1/Mon Jun 7 14:39:28 2004// +/SS_to_AR.m/1.1.1.1/Wed May 29 15:59:56 2002// +/convert_to_lagged_form.m/1.1.1.1/Wed May 29 15:59:56 2002// +/ensure_AR.m/1.1.1.1/Wed May 29 15:59:56 2002// +/eval_AR_perf.m/1.1.1.1/Wed May 29 15:59:56 2002// +/kalman_filter.m/1.1.1.1/Wed May 29 15:59:56 2002// +/kalman_forward_backward.m/1.1.1.1/Sat Nov 2 00:32:36 2002// +/kalman_smoother.m/1.1.1.1/Wed May 29 15:59:56 2002// +/kalman_update.m/1.1.1.1/Wed May 29 15:59:56 2002// +/learn_AR.m/1.1.1.1/Wed May 29 15:59:56 2002// +/learn_AR_diagonal.m/1.1.1.1/Wed May 29 15:59:56 2002// +/learn_kalman.m/1.1.1.1/Wed May 29 15:59:56 2002// +/learning_demo.m/1.1.1.1/Wed Oct 23 15:17:42 2002// +/sample_lds.m/1.1.1.1/Fri Jan 24 19:36:02 2003// +/smooth_update.m/1.1.1.1/Wed May 29 15:59:56 2002// +/testKalman.m/1.1.1.1/Thu Jun 9 01:56:34 2005// +/tracking_demo.m/1.1.1.1/Sat Jan 18 22:49:22 2003// +D diff --git a/sourcecodes/bnt-master/Kalman/CVS/Repository b/sourcecodes/bnt-master/Kalman/CVS/Repository new file mode 100644 index 00000000..242601f9 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/CVS/Repository @@ -0,0 +1 @@ +FullBNT/Kalman diff --git a/sourcecodes/bnt-master/Kalman/CVS/Root b/sourcecodes/bnt-master/Kalman/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/Kalman/README.txt b/sourcecodes/bnt-master/Kalman/README.txt new file mode 100644 index 00000000..1608acb7 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/README.txt @@ -0,0 +1,17 @@ +Kalman filter toolbox written by Kevin Murphy, 1998. +See http://www.ai.mit.edu/~murphyk/Software/kalman.html for details. + +Installation +------------ + +1. Install KPMtools from http://www.ai.mit.edu/~murphyk/Software/KPMtools.html +3. Assuming you installed all these files in your matlab directory, In Matlab type + +addpath matlab/KPMtools +addpath matlab/Kalman + + +Demos +----- +See tracking_demo.m for a demo of 2D tracking. +See learning_demo.m for a demo of parameter estimation using EM. diff --git a/sourcecodes/bnt-master/Kalman/SS_to_AR.m b/sourcecodes/bnt-master/Kalman/SS_to_AR.m new file mode 100644 index 00000000..084b7141 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/SS_to_AR.m @@ -0,0 +1,22 @@ +function [coef, C] = SS_to_AR(F, Q, k, diagonal) +% +% Extract the parameters of a vector autoregresssive process of order k from the state-space form. +% [coef, C] = SS_to_AR(F, Q, k, diagonal) + +if nargin<4, diagonal = 0; end + +s = length(Q) / k; +bs = s*ones(1,k); +coef = zeros(s,s,k); +for i=1:k + if diagonal + coef(:,:,i) = diag(diag(F(block(1,bs), block(i,bs)))); + else + coef(:,:,i) = F(block(1,bs), block(i,bs)); + end +end +C = Q(block(1,bs), block(1,bs)); +if diagonal + C = diag(diag(C)); +end +%C = sqrt(Q(block(1,bs), block(1,bs))); % since cov(1,1) of full vector = C C' diff --git a/sourcecodes/bnt-master/Kalman/convert_to_lagged_form.m b/sourcecodes/bnt-master/Kalman/convert_to_lagged_form.m new file mode 100644 index 00000000..f972da5a --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/convert_to_lagged_form.m @@ -0,0 +1,14 @@ +function yy = convert_to_lagged_form(y, k) +% Create an observation vector yy(:,t) containing the last k values of y, newest first +% e.g., k=2, y = (a1 a2 a3) yy = a2 a3 +% (b1 b2 b3) b2 b2 +% a1 a2 +% b1 b2 + +[s T] = size(y); +bs = s*ones(1,k); +yy = zeros(k*s, T-k+1); +for i=1:k + yy(block(i,bs), :) = y(:, k-i+1:end-i+1); +end + diff --git a/sourcecodes/bnt-master/Kalman/ensure_AR.m b/sourcecodes/bnt-master/Kalman/ensure_AR.m new file mode 100644 index 00000000..e89edfa3 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/ensure_AR.m @@ -0,0 +1,10 @@ +function [A, C, Q, R, initx, initV] = ensure_AR(A, C, Q, R, initx, initV, k, obs, diagonal) +% +% Ensure that the system matrices have the right form for an autoregressive process. + +ss = length(A); +if nargin<8, obs=ones(ss, 1); end +if nargin<9, diagonal=0; end + +[coef, C] = SS_to_AR(A, Q, k, diagonal); +[A, C, Q, R, initx, initV] = AR_to_SS(coef, C, obs); diff --git a/sourcecodes/bnt-master/Kalman/eval_AR_perf.m b/sourcecodes/bnt-master/Kalman/eval_AR_perf.m new file mode 100644 index 00000000..9e6f05d8 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/eval_AR_perf.m @@ -0,0 +1,40 @@ +function [ypred, ll, mse] = eval_AR_perf(coef, C, y, model) +% Evaluate the performance of an AR model. +% +% Inputs +% coef(:,:,k,m) - coef. matrix to use for k steps back, model m +% C(:,:,m) - cov. matrix for model m +% y(:,t) - observation at time t +% model(t) - which model to use at time t (defaults to 1 if not specified) +% +% Outputs +% ypred(:,t) - the predicted value of y at t based on the evidence thru t-1. +% ll - log likelihood +% mse - mean squared error = sum_t d_t . d_t, where d_t = pred(y_t) - y(t) + +[s T] = size(y); +k = size(coef, 3); +M = size(coef, 4); + +if nargin<4, model = ones(1, T); end + +ypred = zeros(s, T); +ypred(:, 1:k) = y(:, 1:k); +mse = 0; +ll = 0; +for j=1:M + c(j) = log(normal_coef(C(:,:,j))); + invC(:,:,j) = inv(C(:,:,j)); +end +coef = reshape(coef, [s s*k M]); + +for t=k+1:T + m = model(t-k); + past = y(:,t-1:-1:t-k); + ypred(:,t) = coef(:, :, m) * past(:); + d = ypred(:,t) - y(:,t); + mse = mse + d' * d; + ll = ll + c(m) - 0.5*(d' * invC(:,:,m) * d); +end +mse = mse / (T-k+1); + diff --git a/sourcecodes/bnt-master/Kalman/kalman_filter.m b/sourcecodes/bnt-master/Kalman/kalman_filter.m new file mode 100644 index 00000000..a410204f --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/kalman_filter.m @@ -0,0 +1,101 @@ +function [x, V, VV, loglik] = kalman_filter(y, A, C, Q, R, init_x, init_V, varargin) +% Kalman filter. +% [x, V, VV, loglik] = kalman_filter(y, A, C, Q, R, init_x, init_V, ...) +% +% INPUTS: +% y(:,t) - the observation at time t +% A - the system matrix +% C - the observation matrix +% Q - the system covariance +% R - the observation covariance +% init_x - the initial state (column) vector +% init_V - the initial state covariance +% +% OPTIONAL INPUTS (string/value pairs [default in brackets]) +% 'model' - model(t)=m means use params from model m at time t [ones(1,T) ] +% In this case, all the above matrices take an additional final dimension, +% i.e., A(:,:,m), C(:,:,m), Q(:,:,m), R(:,:,m). +% However, init_x and init_V are independent of model(1). +% 'u' - u(:,t) the control signal at time t [ [] ] +% 'B' - B(:,:,m) the input regression matrix for model m +% +% OUTPUTS (where X is the hidden state being estimated) +% x(:,t) = E[X(:,t) | y(:,1:t)] +% V(:,:,t) = Cov[X(:,t) | y(:,1:t)] +% VV(:,:,t) = Cov[X(:,t), X(:,t-1) | y(:,1:t)] t >= 2 +% loglik = sum{t=1}^T log P(y(:,t)) +% +% If an input signal is specified, we also condition on it: +% e.g., x(:,t) = E[X(:,t) | y(:,1:t), u(:, 1:t)] +% If a model sequence is specified, we also condition on it: +% e.g., x(:,t) = E[X(:,t) | y(:,1:t), u(:, 1:t), m(1:t)] + +[os T] = size(y); +ss = size(A,1); % size of state space + +% set default params +model = ones(1,T); +u = []; +B = []; +ndx = []; + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i} + case 'model', model = args{i+1}; + case 'u', u = args{i+1}; + case 'B', B = args{i+1}; + case 'ndx', ndx = args{i+1}; + otherwise, error(['unrecognized argument ' args{i}]) + end +end + +x = zeros(ss, T); +V = zeros(ss, ss, T); +VV = zeros(ss, ss, T); + +loglik = 0; +for t=1:T + m = model(t); + if t==1 + %prevx = init_x(:,m); + %prevV = init_V(:,:,m); + prevx = init_x; + prevV = init_V; + initial = 1; + else + prevx = x(:,t-1); + prevV = V(:,:,t-1); + initial = 0; + end + if isempty(u) + [x(:,t), V(:,:,t), LL, VV(:,:,t)] = ... + kalman_update(A(:,:,m), C(:,:,m), Q(:,:,m), R(:,:,m), y(:,t), prevx, prevV, 'initial', initial); + else + if isempty(ndx) + [x(:,t), V(:,:,t), LL, VV(:,:,t)] = ... + kalman_update(A(:,:,m), C(:,:,m), Q(:,:,m), R(:,:,m), y(:,t), prevx, prevV, ... + 'initial', initial, 'u', u(:,t), 'B', B(:,:,m)); + else + i = ndx{t}; + % copy over all elements; only some will get updated + x(:,t) = prevx; + prevP = inv(prevV); + prevPsmall = prevP(i,i); + prevVsmall = inv(prevPsmall); + [x(i,t), smallV, LL, VV(i,i,t)] = ... + kalman_update(A(i,i,m), C(:,i,m), Q(i,i,m), R(:,:,m), y(:,t), prevx(i), prevVsmall, ... + 'initial', initial, 'u', u(:,t), 'B', B(i,:,m)); + smallP = inv(smallV); + prevP(i,i) = smallP; + V(:,:,t) = inv(prevP); + end + end + loglik = loglik + LL; +end + + + + + diff --git a/sourcecodes/bnt-master/Kalman/kalman_forward_backward.m b/sourcecodes/bnt-master/Kalman/kalman_forward_backward.m new file mode 100644 index 00000000..9df240c4 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/kalman_forward_backward.m @@ -0,0 +1,97 @@ +% KALMAN_FORWARD_BACKWARD Forward Backward Propogation in Information Form +% +% +% Note : +% +% M file accompanying my technical note +% +% A Technique for Painless Derivation of Kalman Filtering Recursions +% +% available from http://www.mbfys.kun.nl/~cemgil/papers/painless-kalman.ps +% + +% Uses : + +% Change History : +% Date Time Prog Note +% 07-Jun-2001 2:24 PM ATC Created under MATLAB 5.3.1.29215a (R11.1) + +% ATC = Ali Taylan Cemgil, +% SNN - University of Nijmegen, Department of Medical Physics and Biophysics +% e-mail : cemgil@mbfys.kun.nl + +A = [1 1;0 1]; +C = [1 0]; +Q = eye(2)*0.01^2; +R = 0.001^2; +mu1 = [0;1]; +P1 = 3*Q; + +inv_Q = inv(Q); +inv_R = inv(R); + +y = [0 1.1 2 2.95 3.78]; + +T = length(y); +L = size(Q,1); + +%%%%% Forward message Passing +h_f = zeros(L, T); +K_f = zeros(L, L, T); +g_f = zeros(1, T); +h_f_pre = zeros(L, T); +K_f_pre = zeros(L, L, T); +g_f_pre = zeros(1, T); + + +K_f_pre(:, :, 1) = inv(P1); +h_f_pre(:,1) = K_f_pre(:, :, 1)*mu1; +g_f_pre(1) = -0.5*log(det(2*pi*P1)) - 0.5*mu1'*inv(P1)*mu1; + +for i=1:T, + h_f(:,i) = h_f_pre(:,i) + C'*inv_R*y(:,i); + K_f(:,:,i) = K_f_pre(:,:,i) + C'*inv_R*C; + g_f(i) = g_f_pre(i) -0.5*log(det(2*pi*R)) - 0.5*y(:,i)'*inv_R*y(:,i); + if i1, + M = inv(inv_Q + K_b(:,:,i)); + h_b_post(:,i-1) = A'*inv(Q)*M*h_b(:,i); + K_b_post(:,:,i-1) = A'*inv_Q*(Q - M)*inv_Q*A; + g_b_post(i-1) = g_b(i) -0.5*log(det(2*pi*Q)) + 0.5*log(det(2*pi*M)) + 0.5*h_b(:,i)'*M*h_b(:,i); + end; +end; + + +%%%% Smoothed Estimates + +mu = zeros(size(h_f)); +Sig = zeros(size(K_f)); +g = zeros(size(g_f)); +lalpha = zeros(size(g_f)); + +for i=1:T, + Sig(:,:,i) = inv(K_b_post(:,:,i) + K_f(:,:,i)); + mu(:,i) = Sig(:,:,i)*(h_b_post(:,i) + h_f(:,i)); + g(i) = g_b_post(i) + g_f(:,i); + lalpha(i) = g(i) + 0.5*log(det(2*pi*Sig(:,:,i))) + 0.5*mu(:,i)'*inv(Sig(:,:,i))*mu(:,i); +end; \ No newline at end of file diff --git a/sourcecodes/bnt-master/Kalman/kalman_smoother.m b/sourcecodes/bnt-master/Kalman/kalman_smoother.m new file mode 100644 index 00000000..a3047011 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/kalman_smoother.m @@ -0,0 +1,55 @@ +function [xsmooth, Vsmooth, VVsmooth, loglik] = kalman_smoother(y, A, C, Q, R, init_x, init_V, varargin) +% Kalman/RTS smoother. +% [xsmooth, Vsmooth, VVsmooth, loglik] = kalman_smoother(y, A, C, Q, R, init_x, init_V, ...) +% +% The inputs are the same as for kalman_filter. +% The outputs are almost the same, except we condition on y(:, 1:T) (and u(:, 1:T) if specified), +% instead of on y(:, 1:t). + +[os T] = size(y); +ss = length(A); + +% set default params +model = ones(1,T); +u = []; +B = []; + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i} + case 'model', model = args{i+1}; + case 'u', u = args{i+1}; + case 'B', B = args{i+1}; + otherwise, error(['unrecognized argument ' args{i}]) + end +end + +xsmooth = zeros(ss, T); +Vsmooth = zeros(ss, ss, T); +VVsmooth = zeros(ss, ss, T); + +% Forward pass +[xfilt, Vfilt, VVfilt, loglik] = kalman_filter(y, A, C, Q, R, init_x, init_V, ... + 'model', model, 'u', u, 'B', B); + +% Backward pass +xsmooth(:,T) = xfilt(:,T); +Vsmooth(:,:,T) = Vfilt(:,:,T); +%VVsmooth(:,:,T) = VVfilt(:,:,T); + +for t=T-1:-1:1 + m = model(t+1); + if isempty(B) + [xsmooth(:,t), Vsmooth(:,:,t), VVsmooth(:,:,t+1)] = ... + smooth_update(xsmooth(:,t+1), Vsmooth(:,:,t+1), xfilt(:,t), Vfilt(:,:,t), ... + Vfilt(:,:,t+1), VVfilt(:,:,t+1), A(:,:,m), Q(:,:,m), [], []); + else + [xsmooth(:,t), Vsmooth(:,:,t), VVsmooth(:,:,t+1)] = ... + smooth_update(xsmooth(:,t+1), Vsmooth(:,:,t+1), xfilt(:,t), Vfilt(:,:,t), ... + Vfilt(:,:,t+1), VVfilt(:,:,t+1), A(:,:,m), Q(:,:,m), B(:,:,m), u(:,t+1)); + end +end + +VVsmooth(:,:,1) = zeros(ss,ss); + diff --git a/sourcecodes/bnt-master/Kalman/kalman_update.m b/sourcecodes/bnt-master/Kalman/kalman_update.m new file mode 100644 index 00000000..ed8fc283 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/kalman_update.m @@ -0,0 +1,71 @@ +function [xnew, Vnew, loglik, VVnew] = kalman_update(A, C, Q, R, y, x, V, varargin) +% KALMAN_UPDATE Do a one step update of the Kalman filter +% [xnew, Vnew, loglik] = kalman_update(A, C, Q, R, y, x, V, ...) +% +% INPUTS: +% A - the system matrix +% C - the observation matrix +% Q - the system covariance +% R - the observation covariance +% y(:) - the observation at time t +% x(:) - E[X | y(:, 1:t-1)] prior mean +% V(:,:) - Cov[X | y(:, 1:t-1)] prior covariance +% +% OPTIONAL INPUTS (string/value pairs [default in brackets]) +% 'initial' - 1 means x and V are taken as initial conditions (so A and Q are ignored) [0] +% 'u' - u(:) the control signal at time t [ [] ] +% 'B' - the input regression matrix +% +% OUTPUTS (where X is the hidden state being estimated) +% xnew(:) = E[ X | y(:, 1:t) ] +% Vnew(:,:) = Var[ X(t) | y(:, 1:t) ] +% VVnew(:,:) = Cov[ X(t), X(t-1) | y(:, 1:t) ] +% loglik = log P(y(:,t) | y(:,1:t-1)) log-likelihood of innovatio + +% set default params +u = []; +B = []; +initial = 0; + +args = varargin; +for i=1:2:length(args) + switch args{i} + case 'u', u = args{i+1}; + case 'B', B = args{i+1}; + case 'initial', initial = args{i+1}; + otherwise, error(['unrecognized argument ' args{i}]) + end +end + +% xpred(:) = E[X_t+1 | y(:, 1:t)] +% Vpred(:,:) = Cov[X_t+1 | y(:, 1:t)] + +if initial + if isempty(u) + xpred = x; + else + xpred = x + B*u; + end + Vpred = V; +else + if isempty(u) + xpred = A*x; + else + xpred = A*x + B*u; + end + Vpred = A*V*A' + Q; +end + +e = y - C*xpred; % error (innovation) +n = length(e); +ss = length(A); +S = C*Vpred*C' + R; +Sinv = inv(S); +ss = length(V); +loglik = gaussian_prob(e, zeros(1,length(e)), S, 1); +K = Vpred*C'*Sinv; % Kalman gain matrix +% If there is no observation vector, set K = zeros(ss). +xnew = xpred + K*e; +Vnew = (eye(ss) - K*C)*Vpred; +VVnew = (eye(ss) - K*C)*A*V; + diff --git a/sourcecodes/bnt-master/Kalman/learn_AR.m b/sourcecodes/bnt-master/Kalman/learn_AR.m new file mode 100644 index 00000000..2d846c3a --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/learn_AR.m @@ -0,0 +1,30 @@ +function [coef, C] = learn_AR(data, k) +% Find the ML parameters of a vector autoregressive process of order k. +% [coef, C] = learn_AR(k, data) +% data{l}(:,t) = the observations at time t in sequence l + +warning('learn_AR seems to be broken'); + +nex = length(data); +obs = cell(1, nex); +for l=1:nex + obs{l} = convert_to_lagged_form(data{l}, k); +end + +% The initial parameter values don't matter, since this is a perfectly observable problem. +% However, the size of F must be set correctly. +y = data{1}; +[s T] = size(y); +coef = rand(s,s,k); +C = rand_psd(s); +[F,H,Q,R,initx,initV] = AR_to_SS(coef, C, y); + +max_iter = 1; +fully_observed = 1; +diagQ = 0; +diagR = 0; +[F, H, Q, R, initx, initV, loglik] = ... + learn_kalman(obs, F, H, Q, R, initx, initV, max_iter, diagQ, diagR, fully_observed); + +[coef, C] = SS_to_AR(F, Q, k); + diff --git a/sourcecodes/bnt-master/Kalman/learn_AR_diagonal.m b/sourcecodes/bnt-master/Kalman/learn_AR_diagonal.m new file mode 100644 index 00000000..8d31f217 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/learn_AR_diagonal.m @@ -0,0 +1,20 @@ +function [coef, C] = learn_AR_diagonal(y, k) +% Find the ML parameters for a collection of independent scalar AR processes. + +% sep_coef(1,1,t,i) is the coefficient to apply to compopnent i of the state vector t steps ago +% eg. consider two components L and R and let A = coef(:,:,1,:), B = coef(:,:,2,:) +% L3 (AL 0 BL 0) (L2) (CL 0 0 0) +% R3 = (0 AR 0 BR) (R2) (0 CR 0 0) +% L2 (1 0 0 0 ) (L1) + (0 0 0 0) +% R2 (0 1 0 0 ) (R1) (0 0 0 0) + +ss = size(y, 1); +sep_coef = zeros(1,1,k,ss); +for i=1:ss + [sep_coef(:,:,:,i), sep_cov(i)] = learn_AR(k, y(i,:)); +end +C = diag(sep_cov); +for t=1:k + x = sep_coef(1,1,t,:); + coef(:,:,t) = diag(x(:)); +end diff --git a/sourcecodes/bnt-master/Kalman/learn_kalman.m b/sourcecodes/bnt-master/Kalman/learn_kalman.m new file mode 100644 index 00000000..5924a48c --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/learn_kalman.m @@ -0,0 +1,182 @@ +function [A, C, Q, R, initx, initV, LL] = ... + learn_kalman(data, A, C, Q, R, initx, initV, max_iter, diagQ, diagR, ARmode, constr_fun, varargin) +% LEARN_KALMAN Find the ML parameters of a stochastic Linear Dynamical System using EM. +% +% [A, C, Q, R, INITX, INITV, LL] = LEARN_KALMAN(DATA, A0, C0, Q0, R0, INITX0, INITV0) fits +% the parameters which are defined as follows +% x(t+1) = A*x(t) + w(t), w ~ N(0, Q), x(0) ~ N(init_x, init_V) +% y(t) = C*x(t) + v(t), v ~ N(0, R) +% A0 is the initial value, A is the final value, etc. +% DATA(:,t,l) is the observation vector at time t for sequence l. If the sequences are of +% different lengths, you can pass in a cell array, so DATA{l} is an O*T matrix. +% LL is the "learning curve": a vector of the log lik. values at each iteration. +% LL might go positive, since prob. densities can exceed 1, although this probably +% indicates that something has gone wrong e.g., a variance has collapsed to 0. +% +% There are several optional arguments, that should be passed in the following order. +% LEARN_KALMAN(DATA, A0, C0, Q0, R0, INITX0, INITV0, MAX_ITER, DIAGQ, DIAGR, ARmode) +% MAX_ITER specifies the maximum number of EM iterations (default 10). +% DIAGQ=1 specifies that the Q matrix should be diagonal. (Default 0). +% DIAGR=1 specifies that the R matrix should also be diagonal. (Default 0). +% ARMODE=1 specifies that C=I, R=0. i.e., a Gauss-Markov process. (Default 0). +% This problem has a global MLE. Hence the initial parameter values are not important. +% +% LEARN_KALMAN(DATA, A0, C0, Q0, R0, INITX0, INITV0, MAX_ITER, DIAGQ, DIAGR, F, P1, P2, ...) +% calls [A,C,Q,R,initx,initV] = f(A,C,Q,R,initx,initV,P1,P2,...) after every M step. f can be +% used to enforce any constraints on the params. +% +% For details, see +% - Ghahramani and Hinton, "Parameter Estimation for LDS", U. Toronto tech. report, 1996 +% - Digalakis, Rohlicek and Ostendorf, "ML Estimation of a stochastic linear system with the EM +% algorithm and its application to speech recognition", +% IEEE Trans. Speech and Audio Proc., 1(4):431--442, 1993. + + +% learn_kalman(data, A, C, Q, R, initx, initV, max_iter, diagQ, diagR, ARmode, constr_fun, varargin) +if nargin < 8, max_iter = 10; end +if nargin < 9, diagQ = 0; end +if nargin < 10, diagR = 0; end +if nargin < 11, ARmode = 0; end +if nargin < 12, constr_fun = []; end +verbose = 1; +thresh = 1e-4; + + +if ~iscell(data) + N = size(data, 3); + data = num2cell(data, [1 2]); % each elt of the 3rd dim gets its own cell +else + N = length(data); +end + +N = length(data); +ss = size(A, 1); +os = size(C,1); + +alpha = zeros(os, os); +Tsum = 0; +for ex = 1:N + %y = data(:,:,ex); + y = data{ex}; + T = length(y); + Tsum = Tsum + T; + alpha_temp = zeros(os, os); + for t=1:T + alpha_temp = alpha_temp + y(:,t)*y(:,t)'; + end + alpha = alpha + alpha_temp; +end + +previous_loglik = -inf; +loglik = 0; +converged = 0; +num_iter = 1; +LL = []; + +% Convert to inline function as needed. +if ~isempty(constr_fun) + constr_fun = fcnchk(constr_fun,length(varargin)); +end + + +while ~converged & (num_iter <= max_iter) + + %%% E step + + delta = zeros(os, ss); + gamma = zeros(ss, ss); + gamma1 = zeros(ss, ss); + gamma2 = zeros(ss, ss); + beta = zeros(ss, ss); + P1sum = zeros(ss, ss); + x1sum = zeros(ss, 1); + loglik = 0; + + for ex = 1:N + y = data{ex}; + T = length(y); + [beta_t, gamma_t, delta_t, gamma1_t, gamma2_t, x1, V1, loglik_t] = ... + Estep(y, A, C, Q, R, initx, initV, ARmode); + beta = beta + beta_t; + gamma = gamma + gamma_t; + delta = delta + delta_t; + gamma1 = gamma1 + gamma1_t; + gamma2 = gamma2 + gamma2_t; + P1sum = P1sum + V1 + x1*x1'; + x1sum = x1sum + x1; + %fprintf(1, 'example %d, ll/T %5.3f\n', ex, loglik_t/T); + loglik = loglik + loglik_t; + end + LL = [LL loglik]; + if verbose, fprintf(1, 'iteration %d, loglik = %f\n', num_iter, loglik); end + %fprintf(1, 'iteration %d, loglik/NT = %f\n', num_iter, loglik/Tsum); + num_iter = num_iter + 1; + + %%% M step + + % Tsum = N*T + % Tsum1 = N*(T-1); + Tsum1 = Tsum - N; + A = beta * inv(gamma1); + %A = (gamma1' \ beta')'; + Q = (gamma2 - A*beta') / Tsum1; + if diagQ + Q = diag(diag(Q)); + end + if ~ARmode + C = delta * inv(gamma); + %C = (gamma' \ delta')'; + R = (alpha - C*delta') / Tsum; + if diagR + R = diag(diag(R)); + end + end + initx = x1sum / N; + initV = P1sum/N - initx*initx'; + + if ~isempty(constr_fun) + [A,C,Q,R,initx,initV] = feval(constr_fun, A, C, Q, R, initx, initV, varargin{:}); + end + + converged = em_converged(loglik, previous_loglik, thresh); + previous_loglik = loglik; +end + + + +%%%%%%%%% + +function [beta, gamma, delta, gamma1, gamma2, x1, V1, loglik] = ... + Estep(y, A, C, Q, R, initx, initV, ARmode) +% +% Compute the (expected) sufficient statistics for a single Kalman filter sequence. +% + +[os T] = size(y); +ss = length(A); + +if ARmode + xsmooth = y; + Vsmooth = zeros(ss, ss, T); % no uncertainty about the hidden states + VVsmooth = zeros(ss, ss, T); + loglik = 0; +else + [xsmooth, Vsmooth, VVsmooth, loglik] = kalman_smoother(y, A, C, Q, R, initx, initV); +end + +delta = zeros(os, ss); +gamma = zeros(ss, ss); +beta = zeros(ss, ss); +for t=1:T + delta = delta + y(:,t)*xsmooth(:,t)'; + gamma = gamma + xsmooth(:,t)*xsmooth(:,t)' + Vsmooth(:,:,t); + if t>1 beta = beta + xsmooth(:,t)*xsmooth(:,t-1)' + VVsmooth(:,:,t); end +end +gamma1 = gamma - xsmooth(:,T)*xsmooth(:,T)' - Vsmooth(:,:,T); +gamma2 = gamma - xsmooth(:,1)*xsmooth(:,1)' - Vsmooth(:,:,1); + +x1 = xsmooth(:,1); +V1 = Vsmooth(:,:,1); + + + diff --git a/sourcecodes/bnt-master/Kalman/learning_demo.m b/sourcecodes/bnt-master/Kalman/learning_demo.m new file mode 100644 index 00000000..f44716e7 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/learning_demo.m @@ -0,0 +1,36 @@ +% Make a point move in the 2D plane +% State = (x y xdot ydot). We only observe (x y). +% Generate data from this process, and try to learn the dynamics back. + +% X(t+1) = F X(t) + noise(Q) +% Y(t) = H X(t) + noise(R) + +ss = 4; % state size +os = 2; % observation size +F = [1 0 1 0; 0 1 0 1; 0 0 1 0; 0 0 0 1]; +H = [1 0 0 0; 0 1 0 0]; +Q = 0.1*eye(ss); +R = 1*eye(os); +initx = [10 10 1 0]'; +initV = 10*eye(ss); + +seed = 1; +rand('state', seed); +randn('state', seed); +T = 100; +[x,y] = sample_lds(F, H, Q, R, initx, T); + +% Initializing the params to sensible values is crucial. +% Here, we use the true values for everything except F and H, +% which we initialize randomly (bad idea!) +% Lack of identifiability means the learned params. are often far from the true ones. +% All that EM guarantees is that the likelihood will increase. +F1 = randn(ss,ss); +H1 = randn(os,ss); +Q1 = Q; +R1 = R; +initx1 = initx; +initV1 = initV; +max_iter = 10; +[F2, H2, Q2, R2, initx2, initV2, LL] = learn_kalman(y, F1, H1, Q1, R1, initx1, initV1, max_iter); + diff --git a/sourcecodes/bnt-master/Kalman/sample_lds.m b/sourcecodes/bnt-master/Kalman/sample_lds.m new file mode 100644 index 00000000..a5b1aff4 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/sample_lds.m @@ -0,0 +1,65 @@ +function [x,y] = sample_lds(F, H, Q, R, init_state, T, models, G, u) +% SAMPLE_LDS Simulate a run of a (switching) stochastic linear dynamical system. +% [x,y] = switching_lds_draw(F, H, Q, R, init_state, models, G, u) +% +% x(t+1) = F*x(t) + G*u(t) + w(t), w ~ N(0, Q), x(0) = init_state +% y(t) = H*x(t) + v(t), v ~ N(0, R) +% +% Input: +% F(:,:,i) - the transition matrix for the i'th model +% H(:,:,i) - the observation matrix for the i'th model +% Q(:,:,i) - the transition covariance for the i'th model +% R(:,:,i) - the observation covariance for the i'th model +% init_state(:,i) - the initial mean for the i'th model +% T - the num. time steps to run for +% +% Optional inputs: +% models(t) - which model to use at time t. Default = ones(1,T) +% G(:,:,i) - the input matrix for the i'th model. Default = 0. +% u(:,t) - the input vector at time t. Default = zeros(1,T) +% +% Output: +% x(:,t) - the hidden state vector at time t. +% y(:,t) - the observation vector at time t. + + +if ~iscell(F) + F = num2cell(F, [1 2]); + H = num2cell(H, [1 2]); + Q = num2cell(Q, [1 2]); + R = num2cell(R, [1 2]); +end + +M = length(F); +%T = length(models); + +if nargin < 7, + models = ones(1,T); +end +if nargin < 8, + G = num2cell(repmat(0, [1 1 M])); + u = zeros(1,T); +end + +[os ss] = size(H{1}); +state_noise_samples = cell(1,M); +obs_noise_samples = cell(1,M); +for i=1:M + state_noise_samples{i} = sample_gaussian(zeros(length(Q{i}),1), Q{i}, T)'; + obs_noise_samples{i} = sample_gaussian(zeros(length(R{i}),1), R{i}, T)'; +end + +x = zeros(ss, T); +y = zeros(os, T); + +m = models(1); +x(:,1) = init_state(:,m); +y(:,1) = H{m}*x(:,1) + obs_noise_samples{m}(:,1); + +for t=2:T + m = models(t); + x(:,t) = F{m}*x(:,t-1) + G{m}*u(:,t-1) + state_noise_samples{m}(:,t); + y(:,t) = H{m}*x(:,t) + obs_noise_samples{m}(:,t); +end + + diff --git a/sourcecodes/bnt-master/Kalman/smooth_update.m b/sourcecodes/bnt-master/Kalman/smooth_update.m new file mode 100644 index 00000000..bd29fe31 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/smooth_update.m @@ -0,0 +1,36 @@ +function [xsmooth, Vsmooth, VVsmooth_future] = smooth_update(xsmooth_future, Vsmooth_future, ... + xfilt, Vfilt, Vfilt_future, VVfilt_future, A, Q, B, u) +% One step of the backwards RTS smoothing equations. +% function [xsmooth, Vsmooth, VVsmooth_future] = smooth_update(xsmooth_future, Vsmooth_future, ... +% xfilt, Vfilt, Vfilt_future, VVfilt_future, A, B, u) +% +% INPUTS: +% xsmooth_future = E[X_t+1|T] +% Vsmooth_future = Cov[X_t+1|T] +% xfilt = E[X_t|t] +% Vfilt = Cov[X_t|t] +% Vfilt_future = Cov[X_t+1|t+1] +% VVfilt_future = Cov[X_t+1,X_t|t+1] +% A = system matrix for time t+1 +% Q = system covariance for time t+1 +% B = input matrix for time t+1 (or [] if none) +% u = input vector for time t+1 (or [] if none) +% +% OUTPUTS: +% xsmooth = E[X_t|T] +% Vsmooth = Cov[X_t|T] +% VVsmooth_future = Cov[X_t+1,X_t|T] + +%xpred = E[X(t+1) | t] +if isempty(B) + xpred = A*xfilt; +else + xpred = A*xfilt + B*u; +end +Vpred = A*Vfilt*A' + Q; % Vpred = Cov[X(t+1) | t] +J = Vfilt * A' * inv(Vpred); % smoother gain matrix +xsmooth = xfilt + J*(xsmooth_future - xpred); +Vsmooth = Vfilt + J*(Vsmooth_future - Vpred)*J'; +VVsmooth_future = VVfilt_future + (Vsmooth_future - Vfilt_future)*inv(Vfilt_future)*VVfilt_future; + + diff --git a/sourcecodes/bnt-master/Kalman/testKalman.m b/sourcecodes/bnt-master/Kalman/testKalman.m new file mode 100644 index 00000000..1cfda86c --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/testKalman.m @@ -0,0 +1,2 @@ +tracking_demo +learning_demo diff --git a/sourcecodes/bnt-master/Kalman/tracking_demo.m b/sourcecodes/bnt-master/Kalman/tracking_demo.m new file mode 100644 index 00000000..70cf6484 --- /dev/null +++ b/sourcecodes/bnt-master/Kalman/tracking_demo.m @@ -0,0 +1,74 @@ +% Make a point move in the 2D plane +% State = (x y xdot ydot). We only observe (x y). + +% This code was used to generate Figure 15.9 of "Artificial Intelligence: a Modern Approach", +% Russell and Norvig, 2nd edition, Prentice Hall, 2003. + +% X(t+1) = F X(t) + noise(Q) +% Y(t) = H X(t) + noise(R) + +ss = 4; % state size +os = 2; % observation size +F = [1 0 1 0; 0 1 0 1; 0 0 1 0; 0 0 0 1]; +H = [1 0 0 0; 0 1 0 0]; +Q = 0.1*eye(ss); +R = 1*eye(os); +initx = [10 10 1 0]'; +initV = 10*eye(ss); + +seed = 9; +rand('state', seed); +randn('state', seed); +T = 15; +[x,y] = sample_lds(F, H, Q, R, initx, T); + +[xfilt, Vfilt, VVfilt, loglik] = kalman_filter(y, F, H, Q, R, initx, initV); +[xsmooth, Vsmooth] = kalman_smoother(y, F, H, Q, R, initx, initV); + +dfilt = x([1 2],:) - xfilt([1 2],:); +mse_filt = sqrt(sum(sum(dfilt.^2))) + +dsmooth = x([1 2],:) - xsmooth([1 2],:); +mse_smooth = sqrt(sum(sum(dsmooth.^2))) + + +figure(1) +clf +%subplot(2,1,1) +hold on +plot(x(1,:), x(2,:), 'ks-'); +plot(y(1,:), y(2,:), 'g*'); +plot(xfilt(1,:), xfilt(2,:), 'rx:'); +for t=1:T, plotgauss2d(xfilt(1:2,t), Vfilt(1:2, 1:2, t)); end +hold off +legend('true', 'observed', 'filtered', 3) +xlabel('x') +ylabel('y') + + + +% 3x3 inches +set(gcf,'units','inches'); +set(gcf,'PaperPosition',[0 0 3 3]) +%print(gcf,'-depsc','/home/eecs/murphyk/public_html/Bayes/Figures/aima_filtered.eps'); +%print(gcf,'-djpeg','-r100', '/home/eecs/murphyk/public_html/Bayes/Figures/aima_filtered.jpg'); + + +figure(2) +%subplot(2,1,2) +hold on +plot(x(1,:), x(2,:), 'ks-'); +plot(y(1,:), y(2,:), 'g*'); +plot(xsmooth(1,:), xsmooth(2,:), 'rx:'); +for t=1:T, plotgauss2d(xsmooth(1:2,t), Vsmooth(1:2, 1:2, t)); end +hold off +legend('true', 'observed', 'smoothed', 3) +xlabel('x') +ylabel('y') + + +% 3x3 inches +set(gcf,'units','inches'); +set(gcf,'PaperPosition',[0 0 3 3]) +%print(gcf,'-djpeg','-r100', '/home/eecs/murphyk/public_html/Bayes/Figures/aima_smoothed.jpg'); +%print(gcf,'-depsc','/home/eecs/murphyk/public_html/Bayes/Figures/aima_smoothed.eps'); diff --git a/sourcecodes/bnt-master/README.md b/sourcecodes/bnt-master/README.md new file mode 100644 index 00000000..7a7f36cc --- /dev/null +++ b/sourcecodes/bnt-master/README.md @@ -0,0 +1,20 @@ +#Bayes Net Toolbox for Matlab + +Written by Kevin Murphy, 1997--2002. Last updated: 19 October 2007. +As of January 2014, this is maintained on Github at https://github.com/bayesnet/bnt + +![](http://bayesnet.github.io/bnt/docs/mathbymatlab.gif) + +- [Major Features](http://bayesnet.github.io/bnt/docs/majorFeatures.html) +- [Examples of supported Models](http://bayesnet.github.io/bnt/docs/supportedModels.html) +- [Installation](https://github.com/bayesnet/bnt/wiki/HowToInstall) +- [How to use the toolbox](http://bayesnet.github.io/bnt/docs/usage.html) +- [Subscribe to the BNT mailing list](http://groups.yahoo.com/group/BayesNetToolbox) +- [Invited Paper on BNT](http://people.cs.ubc.ca/~murphyk/Papers/bnt.pdf) published in Computing Science and Statistics, 2001. +- [Other Bayes net software](http://people.cs.ubc.ca/~murphyk/Software/bnsoft.html) +- [A brief introduction to Bayesian Networks](http://people.cs.ubc.ca/~murphyk/Bayes/bnintro.html) +- [Terms and conditions of use (GNU Library GPL)](http://bayesnet.github.io/bnt/docs/license.gpl) +- [Why do I give the code away?](https://github.com/bayesnet/bnt/wiki/WhyFree) +- [Why MATLAB?](https://github.com/bayesnet/bnt/wiki/WhyMatlab) +- [Acknowledgements](https://github.com/bayesnet/bnt/wiki/ThanksAndAcknowledgments) +- How do I contribute changes? Submit a pull request on GitHub at https://github.com/bayesnet/bnt/ diff --git a/sourcecodes/bnt-master/SLP/SLP_doc_1.5.pdf b/sourcecodes/bnt-master/SLP/SLP_doc_1.5.pdf new file mode 100644 index 00000000..5ce9ef4c Binary files /dev/null and b/sourcecodes/bnt-master/SLP/SLP_doc_1.5.pdf differ diff --git a/sourcecodes/bnt-master/SLP/contents.m b/sourcecodes/bnt-master/SLP/contents.m new file mode 100644 index 00000000..cb4b97a0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/contents.m @@ -0,0 +1,95 @@ +% BNT Structure Learning Package +% http://banquiseasi.insa-rouen.fr/projects/bnt-slp/ +% +% Some usefull add-ons for Bayes Net Toolbox +% ================================================================================================== +% v1.5 : 20 avril 2008 +% ================================================================================================== +% +% Data manipulation +% ----------------- +% +% - mat_to_bnt : matrix to cell array conversion (with missing data encoding in the matrix) +% - hist_ic : optimal Histogram based on IC information criterion (PhL) +% - histc_ic : Histogram count , for HIST_IC edges (PhL) +% +% +% Bayes Net Structure Learning +% ---------------------------- +% +% - cond_indep_chisquare : test if X indep Y given Z using ChiSquare test (Pearson's or Likelihood Ratio Test) (PhL,OF) +% (for use with LEARN_STRUCT_PDAG_PC or LEARN_STRUCT_PDAG_IC_STAR) +% - test_chisquare : test for COND_INDEP_CHISQUARE function +% - test_pc : test for LEARN_STRUCT_PDAG_PC function with ChiSquare test (PhL) +% +% - mk_alarm_bnet : make the bnet of ALARM network (WH) (used in test_sem3) +% - mk_asia_bnet : make the bnet of ASIA network (PhL,OF) (used in test functions) +% +% - mk_naive_struct : generate the naive bayes structure (for a given class node) +% +% - learn_struct_mwst : structure learning using maximum spanning tree (OF, PhL) +% - mutual_info_score : mutual information scoring (OF, PhL, WXY) +% - test_mwst : test for LEARN_STRUCT_MWST function (PhL) +% +% - learn_struct_tan : structure learning giving the best tree augmented naive bayes classifier (OF, PHL, NS) +% +% - learn_struct_hc : structure learning using hill climbing (GL) +% - learn_struct_gs : structure learning using greedy search (GL) +% - learn_struct_gs2 : structure learning using greedy search with cache implementation (GL, WH, OF, PhL) +% (use mk_nbrs_of_dag_topo (developped WH) instead of mk_nbrs_of_dag) +% - score_init_cache : cache initialisation for local score computation (OF, PhL) +% - score_family : new version of BNT function with cache implementation (OF, PhL) +% - score_dags : new version of BNT function with cache implementation (OF, PhL, DH) +% - test_gs2 : test for LEARN_STRUCT_GS2 function (PhL) +% +% - learn_struct_ges : structure learning using Greedy Equivalence Search (PhL) +% - mk_nbrs_of_pdag_add : generate the sup. inclusion boundary of a given pdag (PhL) +% - mk_nbrs_of_pdag_del : generate the inf. inclusion boundary of a given pdag (PhL) +% - test_ges : test for LEARN_STRUCT_GES function (PhL) +% +% - learn_struct_EM : structure learning using structural EM (WH) +% - multiply_one_marginal.c +% - mk_nbrs_of_dag_topo : generate the neighbours of a given dag (WH) +% (better implementation than mk_nbrs_of_dag) +% - test_sem1 : demo 1 (SPRINKER) +% - test_sem2 : demo 2 (DISCRETE1) +% - test_sem3 : demo 3 (ALARM) +% +% - learn_struct_mwst_EM : MWST structure learning with missing data (OF, PhL) +% +% - cpdag_to_dag : return a dag for a given CPDAG (OF, PhL) +% - dag_to_cpdag : return the CPDAG, representant of the equivalent class of the dag (OF, PhL) +% - pdag_to_dag : return a DAG that instantiates the given pdag [Dor&Tarsi] (PhL, OF) +% - test_cpdag : test CPDAG_to_DAG and DAG_to_CPDAG functions (PhL) +% - kl_divergence : Kullback-Leibler divergence between two bnet distributions (PhL) +% - kl_divergence2 : Kullback-Leibler divergence between two bnet distributions (PhL) +% +% - test_structure : runs all the test functions (PhL) +% +% - gener_MCAR_net : to gener a BN which modelise a process of incomplete data generation with MCAR assumptions (OF) +% - gener_MAR_net : to gener a BN which modelise a process of incomplete data generation with MAR assumptions (OF) +% - gener_data_from_bnet_miss: to gener a incomplete dataset from a BN creted with gener_MCAR_net or gener_MAR_net (OF) +% +% - editing_dist : editing distance between two DAG (PhL) +% (memory optimization, but quite slow !) +% - learn_struct_bnpc : structure learning with BN-Power constructor (OF, PhL) +% - learn_struct_tan_EM : Tree Augmented Naive Bayes structure learning with missing data (OF, PhL) +% - learn_struct_ges_EM : structure learning in Markov equivalent space with missing data (OF, HB, PhL) +% - ...... +% +% +% Contributors : +% ------------ +% LITIS Rouen, France +% - PhL : Philippe Leray (philippe.leray@univ-nantes.fr) +% - OF : Olivier Francois (francois.olivier.c.h@gmail.com) +% +% External parts +% - GL : Gang Li, Deakin University (gangli@deakin.edu.au) +% - WH : Wei Hu, Intel (wei.hu@intel.com) +% - DH : Derek Hoiem (dhoiem@cs.cmu.edu) +% - NS : Navid Serrano, Jet Propulsion Laboratory (Navid.Serrano@jpl.nasa.gov) +% - WXY : Wang Xiang Yang, Shanghai JiaoTong University (wangxiangyang@sjtu.edu.cn) +% - HB : Hanene Borchani (hanene.borchani@gmail.com) +% + diff --git a/sourcecodes/bnt-master/SLP/copyright.txt b/sourcecodes/bnt-master/SLP/copyright.txt new file mode 100644 index 00000000..ca3eb959 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/copyright.txt @@ -0,0 +1 @@ +% Written by the contributors (cf. contents.m) 2005 \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECT.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECT.names new file mode 100644 index 00000000..636299d6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECT.names @@ -0,0 +1,89 @@ +1. Title of Database: SPECT heart data + +2. Sources: + -- Original owners: Krzysztof J. Cios, Lukasz A. Kurgan + University of Colorado at Denver, Denver, CO 80217, U.S.A. + Krys.Cios@cudenver.edu + Lucy S. Goodenday + Medical College of Ohio, OH, U.S.A. + + -- Donors: Lukasz A.Kurgan, Krzysztof J. Cios + -- Date: 10/01/01 + +3. Past Usage: + 1. Kurgan, L.A., Cios, K.J., Tadeusiewicz, R., Ogiela, M. & Goodenday, L.S. + "Knowledge Discovery Approach to Automated Cardiac SPECT Diagnosis" + Artificial Intelligence in Medicine, vol. 23:2, pp 149-169, Oct 2001 + + Results: The CLIP3 machine learning algorithm achieved 84.0% accuracy + References: + Cios, K.J., Wedding, D.K. & Liu, N. + CLIP3: cover learning using integer programming. + Kybernetes, 26:4-5, pp 513-536, 1997 + + Cios, K.J. & Kurgan, L. + Hybrid Inductive Machine Learning: An Overview of CLIP Algorithms, + In: Jain, L.C., and Kacprzyk, J. (Eds.) + New Learning Paradigms in Soft Computing, + Physica-Verlag (Springer), 2001 + + SPECT is a good data set for testing ML algorithms; it has 267 instances + that are descibed by 23 binary attributes + + Other results (in press): + -- CLIP4 algorithm achieved 86.1% accuracy + -- ensemble of CLIP4 classifiers achieved 90.4% accuracy + -- Predicted attribute: OVERALL_DIAGNOSIS (binary) + +4. Relevant Information: + The dataset describes diagnosing of cardiac Single Proton Emission Computed Tomography (SPECT) images. + Each of the patients is classified into two categories: normal and abnormal. + The database of 267 SPECT image sets (patients) was processed to extract features that summarize the original SPECT images. + As a result, 44 continuous feature pattern was created for each patient. + The pattern was further processed to obtain 22 binary feature patterns. + The CLIP3 algorithm was used to generate classification rules from these patterns. + The CLIP3 algorithm generated rules that were 84.0% accurate (as compared with cardilogists' diagnoses). + +5. Number of Instances: 267 +6. Number of Attributes: 23 (22 binary + 1 binary class) +7. Attribute Information: + 1. OVERALL_DIAGNOSIS: 0,1 (class attribute, binary) + 2. F1: 0,1 (the partial diagnosis 1, binary) + 3. F2: 0,1 (the partial diagnosis 2, binary) + 4. F3: 0,1 (the partial diagnosis 3, binary) + 5. F4: 0,1 (the partial diagnosis 4, binary) + 6. F5: 0,1 (the partial diagnosis 5, binary) + 7. F6: 0,1 (the partial diagnosis 6, binary) + 8. F7: 0,1 (the partial diagnosis 7, binary) + 9. F8: 0,1 (the partial diagnosis 8, binary) + 10. F9: 0,1 (the partial diagnosis 9, binary) + 11. F10: 0,1 (the partial diagnosis 10, binary) + 12. F11: 0,1 (the partial diagnosis 11, binary) + 13. F12: 0,1 (the partial diagnosis 12, binary) + 14. F13: 0,1 (the partial diagnosis 13, binary) + 15. F14: 0,1 (the partial diagnosis 14, binary) + 16. F15: 0,1 (the partial diagnosis 15, binary) + 17. F16: 0,1 (the partial diagnosis 16, binary) + 18. F17: 0,1 (the partial diagnosis 17, binary) + 19. F18: 0,1 (the partial diagnosis 18, binary) + 20. F19: 0,1 (the partial diagnosis 19, binary) + 21. F20: 0,1 (the partial diagnosis 20, binary) + 22. F21: 0,1 (the partial diagnosis 21, binary) + 23. F22: 0,1 (the partial diagnosis 22, binary) + -- dataset is divided into: + -- training data ("SPECT.train" 80 instances) + -- testing data ("SPECT.test" 187 instances) +8. Missing Attribute Values: None +9. Class Distribution: + -- entire data + Class # examples + 0 55 + 1 212 + -- training dataset + Class # examples + 0 40 + 1 40 + -- testing dataset + Class # examples + 0 15 + 1 172 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECTD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECTD.m new file mode 100644 index 00000000..b2bfa416 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/SPECTD.m @@ -0,0 +1,22 @@ +load -ascii SPECT_A +load -ascii SPECT_T + +[N, m] = size(SPECT_A); + +class = N + +app = SPECT_A;size(app) +test = SPECT_T;size(test) + +Napp = size(app,2); +Ntest = size(test,2); + +unique(app(class,:)) +unique(test(class,:)) + +ns1 = max(SPECT_A'); +ns2 = max(SPECT_T'); +ns = max(ns1, ns2) +clear SPECT_A SPECT_T ns1 ns2 + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abalone b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abalone new file mode 100644 index 00000000..50980d1a --- 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1.1000000e+01 1.1000000e+01 1.0000000e+01 1.0000000e+01 1.1000000e+01 1.3000000e+01 1.3000000e+01 1.1000000e+01 1.1000000e+01 1.0000000e+01 1.1000000e+01 1.1000000e+01 6.0000000e+00 7.0000000e+00 6.0000000e+00 7.0000000e+00 8.0000000e+00 6.0000000e+00 6.0000000e+00 8.0000000e+00 8.0000000e+00 8.0000000e+00 9.0000000e+00 1.1000000e+01 1.1000000e+01 8.0000000e+00 7.0000000e+00 7.0000000e+00 7.0000000e+00 1.0000000e+01 9.0000000e+00 8.0000000e+00 1.0000000e+01 1.0000000e+01 8.0000000e+00 1.1000000e+01 1.0000000e+01 9.0000000e+00 1.0000000e+01 1.2000000e+01 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abalone.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abalone.names new file mode 100644 index 00000000..8fbe142d --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abalone.names @@ -0,0 +1,145 @@ +1. Title of Database: Abalone data + +2. Sources: + + (a) Original owners of database: + Marine Resources Division + Marine Research Laboratories - Taroona + Department of Primary Industry and Fisheries, Tasmania + GPO Box 619F, Hobart, Tasmania 7001, Australia + (contact: Warwick Nash +61 02 277277, wnash@dpi.tas.gov.au) + + (b) Donor of database: + Sam Waugh (Sam.Waugh@cs.utas.edu.au) + Department of Computer Science, University of Tasmania + GPO Box 252C, Hobart, Tasmania 7001, Australia + + (c) Date received: December 1995 + + +3. Past Usage: + + Sam Waugh (1995) "Extending and benchmarking Cascade-Correlation", PhD + thesis, Computer Science Department, University of Tasmania. + + -- Test set performance (final 1044 examples, first 3133 used for training): + 24.86% Cascade-Correlation (no hidden nodes) + 26.25% Cascade-Correlation (5 hidden nodes) + 21.5% C4.5 + 0.0% Linear Discriminate Analysis + 3.57% k=5 Nearest Neighbour + (Problem encoded as a classification task) + + -- Data set samples are highly overlapped. Further information is required + to separate completely using affine combinations. Other restrictions + to data set examined. + + David Clark, Zoltan Schreter, Anthony Adams "A Quantitative Comparison of + Dystal and Backpropagation", submitted to the Australian Conference on + Neural Networks (ACNN'96). Data set treated as a 3-category classification + problem (grouping ring classes 1-8, 9 and 10, and 11 on). + + -- Test set performance (3133 training, 1044 testing as above): + 64% Backprop + 55% Dystal + -- Previous work (Waugh, 1995) on same data set: + 61.40% Cascade-Correlation (no hidden nodes) + 65.61% Cascade-Correlation (5 hidden nodes) + 59.2% C4.5 + 32.57% Linear Discriminate Analysis + 62.46% k=5 Nearest Neighbour + + +4. Relevant Information Paragraph: + + Predicting the age of abalone from physical measurements. The age of + abalone is determined by cutting the shell through the cone, staining it, + and counting the number of rings through a microscope -- a boring and + time-consuming task. Other measurements, which are easier to obtain, are + used to predict the age. Further information, such as weather patterns + and location (hence food availability) may be required to solve the problem. + + From the original data examples with missing values were removed (the + majority having the predicted value missing), and the ranges of the + continuous values have been scaled for use with an ANN (by dividing by 200). + + Data comes from an original (non-machine-learning) study: + + Warwick J Nash, Tracy L Sellers, Simon R Talbot, Andrew J Cawthorn and + Wes B Ford (1994) "The Population Biology of Abalone (_Haliotis_ + species) in Tasmania. I. Blacklip Abalone (_H. rubra_) from the North + Coast and Islands of Bass Strait", Sea Fisheries Division, Technical + Report No. 48 (ISSN 1034-3288) + + +5. Number of Instances: 4177 + + +6. Number of Attributes: 8 + + +7. Attribute information: + + Given is the attribute name, attribute type, the measurement unit and a + brief description. The number of rings is the value to predict: either + as a continuous value or as a classification problem. + + Name Data Type Meas. Description + ---- --------- ----- ----------- + Sex nominal M, F, and I (infant) + Length continuous mm Longest shell measurement + Diameter continuous mm perpendicular to length + Height continuous mm with meat in shell + Whole weight continuous grams whole abalone + Shucked weight continuous grams weight of meat + Viscera weight continuous grams gut weight (after bleeding) + Shell weight continuous grams after being dried + Rings integer +1.5 gives the age in years + + Statistics for numeric domains: + + Length Diam Height Whole Shucked Viscera Shell Rings + Min 0.075 0.055 0.000 0.002 0.001 0.001 0.002 1 + Max 0.815 0.650 1.130 2.826 1.488 0.760 1.005 29 + Mean 0.524 0.408 0.140 0.829 0.359 0.181 0.239 9.934 + SD 0.120 0.099 0.042 0.490 0.222 0.110 0.139 3.224 + Correl 0.557 0.575 0.557 0.540 0.421 0.504 0.628 1.0 + + +8. Missing Attribute Values: None + + +9. Class Distribution: + + Class Examples + ----- -------- + 1 1 + 2 1 + 3 15 + 4 57 + 5 115 + 6 259 + 7 391 + 8 568 + 9 689 + 10 634 + 11 487 + 12 267 + 13 203 + 14 126 + 15 103 + 16 67 + 17 58 + 18 42 + 19 32 + 20 26 + 21 14 + 22 6 + 23 9 + 24 2 + 25 1 + 26 1 + 27 2 + 29 1 + ----- ---- + Total 4177 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abaloneD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abaloneD.m new file mode 100644 index 00000000..525f4f41 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/abaloneD.m @@ -0,0 +1,22 @@ +load -ascii abalone + +[N, m] = size(abalone) + +class = N + +%rand('state',0); randn('state',0); +%abalone = abalone(:,randperm(m)); + +Napp = 3133; +Ntest = m-Napp + +app = abalone(:,1:Napp);size(app) +test = abalone(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(abalone') +clear abalone + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian new file mode 100644 index 00000000..ef6fb878 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian @@ -0,0 +1,15 @@ + 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 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1.0000000e+00 1.0000000e+00 1.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian.doc b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian.doc new file mode 100644 index 00000000..100d37b8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australian.doc @@ -0,0 +1,90 @@ +Description of the Dataset: + +THIS CREDIT DATA ORIGINATES FROM QUINLAN (see below). + +1. Title: Australian Credit Approval + +2. Sources: + (confidential) + Submitted by quinlan@cs.su.oz.au + +3. Past Usage: + + See Quinlan, + * "Simplifying decision trees", Int J Man-Machine Studies 27, + Dec 1987, pp. 221-234. + * "C4.5: Programs for Machine Learning", Morgan Kaufmann, Oct 1992 + +4. Relevant Information: + + This file concerns credit card applications. All attribute names + and values have been changed to meaningless symbols to protect + confidentiality of the data. + + This dataset is interesting because there is a good mix of + attributes -- continuous, nominal with small numbers of + values, and nominal with larger numbers of values. There + are also a few missing values. + +5. Number of Instances: 690 + +6. Number of Attributes: 14 + class attribute + +7. Attribute Information: THERE ARE 6 NUMERICAL AND 8 CATEGORICAL ATTRIBUTES. + + THE LABELS HAVE BEEN CHANGED FOR THE CONVENIENCE + OF THE STATISTICAL ALGORITHMS. FOR EXAMPLE, + ATTRIBUTE 4 ORIGINALLY HAD 3 LABELS p,g,gg AND + THESE HAVE BEEN CHANGED TO LABELS 1,2,3. + + + A1: 0,1 CATEGORICAL + a,b + A2: continuous. + A3: continuous. + A4: 1,2,3 CATEGORICAL + p,g,gg + A5: 1, 2,3,4,5, 6,7,8,9,10,11,12,13,14 CATEGORICAL + ff,d,i,k,j,aa,m,c,w, e, q, r,cc, x + + A6: 1, 2,3, 4,5,6,7,8,9 CATEGORICAL + ff,dd,j,bb,v,n,o,h,z + + A7: continuous. + A8: 1, 0 CATEGORICAL + t, f. + A9: 1, 0 CATEGORICAL + t, f. + A10: continuous. + A11: 1, 0 CATEGORICAL + t, f. + A12: 1, 2, 3 CATEGORICAL + s, g, p + A13: continuous. + A14: continuous. + A15: 1,2 + +,- (class attribute) + +8. Missing Attribute Values: + 37 cases (5%) HAD one or more missing values. The missing + values from particular attributes WERE: + + A1: 12 + A2: 12 + A4: 6 + A5: 6 + A6: 9 + A7: 9 + A14: 13 + + THESE WERE REPLACED BY THE MODE OF THE ATTRIBUTE (CATEGORICAL) + MEAN OF THE ATTRIBUTE (CONTINUOUS) + +9. Class Distribution + + +: 307 (44.5%) CLASS 2 + -: 383 (55.5%) CLASS 1 + + +10. There is no cost matrix. + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australianD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australianD.m new file mode 100644 index 00000000..1332d5e4 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/australianD.m @@ -0,0 +1,22 @@ +load -ascii australian + +[N, m] = size(australian) + +class = 15 + +%rand('state',0); randn('state',0); +%australian = australian(:,randperm(m)); + +Napp = 400 +Ntest = m-Napp + +app = australian(:,1:Napp);size(app) +test = australian(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(australian') +clear australian + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car new file mode 100644 index 00000000..7775663b --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car @@ -0,0 +1,7 @@ + 4.0000000e+00 4.0000000e+00 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1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 3.0000000e+00 1.0000000e+00 3.0000000e+00 4.0000000e+00 1.0000000e+00 3.0000000e+00 4.0000000e+00 1.0000000e+00 2.0000000e+00 3.0000000e+00 1.0000000e+00 3.0000000e+00 4.0000000e+00 1.0000000e+00 3.0000000e+00 4.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car.names new file mode 100644 index 00000000..9491039a --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/car.names @@ -0,0 +1,82 @@ +1. Title: Car Evaluation Database + +2. Sources: + (a) Creator: Marko Bohanec + (b) Donors: Marko Bohanec (marko.bohanec@ijs.si) + Blaz Zupan (blaz.zupan@ijs.si) + (c) Date: June, 1997 + +3. Past Usage: + + The hierarchical decision model, from which this dataset is + derived, was first presented in + + M. Bohanec and V. Rajkovic: Knowledge acquisition and explanation for + multi-attribute decision making. In 8th Intl Workshop on Expert + Systems and their Applications, Avignon, France. pages 59-78, 1988. + + Within machine-learning, this dataset was used for the evaluation + of HINT (Hierarchy INduction Tool), which was proved to be able to + completely reconstruct the original hierarchical model. This, + together with a comparison with C4.5, is presented in + + B. Zupan, M. Bohanec, I. Bratko, J. Demsar: Machine learning by + function decomposition. ICML-97, Nashville, TN. 1997 (to appear) + +4. Relevant Information Paragraph: + + Car Evaluation Database was derived from a simple hierarchical + decision model originally developed for the demonstration of DEX + (M. Bohanec, V. Rajkovic: Expert system for decision + making. Sistemica 1(1), pp. 145-157, 1990.). The model evaluates + cars according to the following concept structure: + + CAR car acceptability + . PRICE overall price + . . buying buying price + . . maint price of the maintenance + . TECH technical characteristics + . . COMFORT comfort + . . . doors number of doors + . . . persons capacity in terms of persons to carry + . . . lug_boot the size of luggage boot + . . safety estimated safety of the car + + Input attributes are printed in lowercase. Besides the target + concept (CAR), the model includes three intermediate concepts: + PRICE, TECH, COMFORT. Every concept is in the original model + related to its lower level descendants by a set of examples (for + these examples sets see http://www-ai.ijs.si/BlazZupan/car.html). + + The Car Evaluation Database contains examples with the structural + information removed, i.e., directly relates CAR to the six input + attributes: buying, maint, doors, persons, lug_boot, safety. + + Because of known underlying concept structure, this database may be + particularly useful for testing constructive induction and + structure discovery methods. + +5. Number of Instances: 1728 + (instances completely cover the attribute space) + +6. Number of Attributes: 6 + +7. Attribute Values: + + buying v-high, high, med, low + maint v-high, high, med, low + doors 2, 3, 4, 5-more + persons 2, 4, more + lug_boot small, med, big + safety low, med, high + +8. Missing Attribute Values: none + +9. Class Distribution (number of instances per class) + + class N N[%] + ----------------------------- + unacc 1210 (70.023 %) + acc 384 (22.222 %) + good 69 ( 3.993 %) + v-good 65 ( 3.762 %) diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/carD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/carD.m new file mode 100644 index 00000000..e0048783 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/carD.m @@ -0,0 +1,22 @@ +load -ascii car + +[N, m] = size(car); + +class = N + +rand('state',0); randn('state',0); +car = car(:,randperm(m)); + +Napp = 1152 +Ntest = m-Napp + +app = car(:,1:Napp);size(app) +test = car(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(car') +clear car + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contracep.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contracep.names new file mode 100644 index 00000000..c40896ac --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contracep.names @@ -0,0 +1,44 @@ +1. Title: Contraceptive Method Choice + +2. Sources: + (a) Origin: This dataset is a subset of the 1987 National Indonesia + Contraceptive Prevalence Survey + (b) Creator: Tjen-Sien Lim (limt@stat.wisc.edu) + (c) Donor: Tjen-Sien Lim (limt@stat.wisc.edu) + (c) Date: June 7, 1997 + +3. Past Usage: + Lim, T.-S., Loh, W.-Y. & Shih, Y.-S. (1999). A Comparison of + Prediction Accuracy, Complexity, and Training Time of Thirty-three + Old and New Classification Algorithms. Machine Learning. Forthcoming. + (ftp://ftp.stat.wisc.edu/pub/loh/treeprogs/quest1.7/mach1317.pdf or + (http://www.stat.wisc.edu/~limt/mach1317.pdf) + +4. Relevant Information: + This dataset is a subset of the 1987 National Indonesia Contraceptive + Prevalence Survey. The samples are married women who were either not + pregnant or do not know if they were at the time of interview. The + problem is to predict the current contraceptive method choice + (no use, long-term methods, or short-term methods) of a woman based + on her demographic and socio-economic characteristics. + +5. Number of Instances: 1473 + +6. Number of Attributes: 10 (including the class attribute) + +7. Attribute Information: + + 1. Wife's age (numerical) + 2. Wife's education (categorical) 1=low, 2, 3, 4=high + 3. Husband's education (categorical) 1=low, 2, 3, 4=high + 4. Number of children ever born (numerical) + 5. Wife's religion (binary) 0=Non-Islam, 1=Islam + 6. Wife's now working? (binary) 0=Yes, 1=No + 7. Husband's occupation (categorical) 1, 2, 3, 4 + 8. Standard-of-living index (categorical) 1=low, 2, 3, 4=high + 9. Media exposure (binary) 0=Good, 1=Not good + 10. Contraceptive method used (class attribute) 1=No-use + 2=Long-term + 3=Short-term + +8. Missing Attribute Values: None diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasep b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasep new file mode 100644 index 00000000..2e3eb29a --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasep @@ -0,0 +1,10 @@ + 3.0000000e+00 1.0000000e+01 1.0000000e+01 9.0000000e+00 7.0000000e+00 2.0000000e+00 8.0000000e+00 2.0000000e+00 4.0000000e+00 1.0000000e+01 8.0000000e+00 9.0000000e+00 1.0000000e+01 9.0000000e+00 8.0000000e+00 4.0000000e+00 1.1000000e+01 8.0000000e+00 8.0000000e+00 8.0000000e+00 4.0000000e+00 3.0000000e+00 1.1000000e+01 8.0000000e+00 1.1000000e+01 9.0000000e+00 8.0000000e+00 5.0000000e+00 3.0000000e+00 1.0000000e+01 6.0000000e+00 6.0000000e+00 4.0000000e+00 6.0000000e+00 3.0000000e+00 9.0000000e+00 1.0000000e+01 4.0000000e+00 9.0000000e+00 5.0000000e+00 5.0000000e+00 1.1000000e+01 1.1000000e+01 9.0000000e+00 5.0000000e+00 4.0000000e+00 6.0000000e+00 1.0000000e+01 4.0000000e+00 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3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 3.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasepD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasepD.m new file mode 100644 index 00000000..8a9cd9a6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/contrasepD.m @@ -0,0 +1,22 @@ +load -ascii contrasep + +[N, m] = size(contrasep); + +class = N + +%rand('state',0); randn('state',0); +%contrasep = contrasep(:,randperm(m)); + +Napp = 850 +Ntest = m-Napp + +app = contrasep(:,1:Napp);size(app) +test = contrasep(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(contrasep') +clear contrasep + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes new file mode 100644 index 00000000..9447028d --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes @@ -0,0 +1,9 @@ + 1.3000000e+01 3.0000000e+00 1.7000000e+01 3.0000000e+00 1.0000000e+00 1.1000000e+01 7.0000000e+00 2.1000000e+01 5.0000000e+00 1.7000000e+01 9.0000000e+00 2.1000000e+01 2.1000000e+01 3.0000000e+00 1.1000000e+01 1.5000000e+01 1.0000000e+00 1.5000000e+01 3.0000000e+00 3.0000000e+00 7.0000000e+00 1.7000000e+01 1.5000000e+01 1.9000000e+01 2.3000000e+01 2.1000000e+01 1.5000000e+01 3.0000000e+00 2.7000000e+01 1.1000000e+01 1.1000000e+01 7.0000000e+00 7.0000000e+00 1.3000000e+01 2.1000000e+01 9.0000000e+00 2.3000000e+01 1.9000000e+01 5.0000000e+00 9.0000000e+00 7.0000000e+00 1.5000000e+01 1.5000000e+01 1.9000000e+01 1.5000000e+01 1.0000000e+00 3.0000000e+00 5.0000000e+00 1.5000000e+01 1.5000000e+01 3.0000000e+00 3.0000000e+00 1.1000000e+01 1.7000000e+01 1.5000000e+01 3.0000000e+00 1.5000000e+01 1.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.7000000e+01 1.1000000e+01 5.0000000e+00 1.5000000e+01 1.1000000e+01 1.0000000e+00 5.0000000e+00 3.0000000e+00 9.0000000e+00 5.0000000e+00 1.1000000e+01 2.7000000e+01 9.0000000e+00 3.0000000e+00 3.0000000e+00 1.5000000e+01 1.1000000e+01 1.0000000e+00 5.0000000e+00 7.0000000e+00 5.0000000e+00 1.5000000e+01 1.0000000e+00 1.1000000e+01 5.0000000e+00 2.7000000e+01 5.0000000e+00 2.8000000e+01 3.0000000e+00 3.0000000e+00 9.0000000e+00 1.5000000e+01 9.0000000e+00 5.0000000e+00 1.3000000e+01 5.0000000e+00 3.0000000e+00 1.3000000e+01 3.0000000e+00 3.0000000e+00 3.0000000e+00 1.0000000e+00 3.0000000e+00 5.0000000e+00 3.0000000e+00 3.0000000e+00 9.0000000e+00 7.0000000e+00 1.0000000e+00 7.0000000e+00 1.7000000e+01 3.0000000e+00 9.0000000e+00 1.5000000e+01 9.0000000e+00 1.1000000e+01 1.1000000e+01 9.0000000e+00 9.0000000e+00 1.0000000e+00 1.3000000e+01 5.0000000e+00 1.1000000e+01 1.0000000e+00 3.0000000e+00 7.0000000e+00 3.0000000e+00 3.0000000e+00 1.0000000e+00 9.0000000e+00 1.9000000e+01 7.0000000e+00 1.7000000e+01 5.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.1000000e+01 7.0000000e+00 1.1000000e+01 5.0000000e+00 2.1000000e+01 9.0000000e+00 1.0000000e+00 1.9000000e+01 5.0000000e+00 1.1000000e+01 5.0000000e+00 3.0000000e+00 9.0000000e+00 1.9000000e+01 3.0000000e+00 1.7000000e+01 1.5000000e+01 5.0000000e+00 3.0000000e+00 5.0000000e+00 2.8000000e+01 9.0000000e+00 1.5000000e+01 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.3000000e+01 7.0000000e+00 9.0000000e+00 9.0000000e+00 7.0000000e+00 1.3000000e+01 1.3000000e+01 5.0000000e+00 3.0000000e+00 5.0000000e+00 1.7000000e+01 1.3000000e+01 1.0000000e+00 1.1000000e+01 1.1000000e+01 1.3000000e+01 1.0000000e+00 3.0000000e+00 1.1000000e+01 9.0000000e+00 1.5000000e+01 1.7000000e+01 3.0000000e+00 1.7000000e+01 1.1000000e+01 7.0000000e+00 1.9000000e+01 1.5000000e+01 2.3000000e+01 1.7000000e+01 1.1000000e+01 3.0000000e+00 7.0000000e+00 9.0000000e+00 9.0000000e+00 1.0000000e+00 3.0000000e+00 1.0000000e+00 5.0000000e+00 1.3000000e+01 1.1000000e+01 1.7000000e+01 1.1000000e+01 3.0000000e+00 1.5000000e+01 5.0000000e+00 1.0000000e+00 1.5000000e+01 1.0000000e+00 1.9000000e+01 2.5000000e+01 1.1000000e+01 1.3000000e+01 1.1000000e+01 1.1000000e+01 1.0000000e+00 5.0000000e+00 1.5000000e+01 1.5000000e+01 3.0000000e+00 3.0000000e+00 1.0000000e+00 7.0000000e+00 9.0000000e+00 1.0000000e+00 9.0000000e+00 1.3000000e+01 3.0000000e+00 9.0000000e+00 7.0000000e+00 9.0000000e+00 1.5000000e+01 1.0000000e+00 1.9000000e+01 1.0000000e+00 3.0000000e+00 9.0000000e+00 7.0000000e+00 1.3000000e+01 5.0000000e+00 1.9000000e+01 2.1000000e+01 1.0000000e+00 1.9000000e+01 3.0000000e+00 1.9000000e+01 5.0000000e+00 5.0000000e+00 1.0000000e+00 2.5000000e+01 3.0000000e+00 7.0000000e+00 5.0000000e+00 3.0000000e+00 2.3000000e+01 7.0000000e+00 7.0000000e+00 9.0000000e+00 7.0000000e+00 9.0000000e+00 1.1000000e+01 1.0000000e+00 5.0000000e+00 1.0000000e+00 5.0000000e+00 2.1000000e+01 5.0000000e+00 7.0000000e+00 3.0000000e+00 2.7000000e+01 5.0000000e+00 1.5000000e+01 1.0000000e+00 1.1000000e+01 5.0000000e+00 1.0000000e+00 2.1000000e+01 1.5000000e+01 1.5000000e+01 5.0000000e+00 1.5000000e+01 1.1000000e+01 3.0000000e+00 9.0000000e+00 1.1000000e+01 1.0000000e+00 1.0000000e+00 5.0000000e+00 3.0000000e+00 1.0000000e+00 1.3000000e+01 5.0000000e+00 1.0000000e+00 2.8000000e+01 1.7000000e+01 1.0000000e+00 5.0000000e+00 1.1000000e+01 1.1000000e+01 7.0000000e+00 5.0000000e+00 2.1000000e+01 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.3000000e+01 1.0000000e+00 5.0000000e+00 7.0000000e+00 1.5000000e+01 5.0000000e+00 7.0000000e+00 7.0000000e+00 7.0000000e+00 1.3000000e+01 9.0000000e+00 7.0000000e+00 1.0000000e+00 2.7000000e+01 5.0000000e+00 3.0000000e+00 3.0000000e+00 2.1000000e+01 5.0000000e+00 1.3000000e+01 1.7000000e+01 5.0000000e+00 3.0000000e+00 2.5000000e+01 3.0000000e+00 1.0000000e+00 1.0000000e+00 1.1000000e+01 1.9000000e+01 1.5000000e+01 3.0000000e+00 3.0000000e+00 3.0000000e+00 1.1000000e+01 1.7000000e+01 1.7000000e+01 3.0000000e+00 7.0000000e+00 7.0000000e+00 1.1000000e+01 9.0000000e+00 9.0000000e+00 7.0000000e+00 3.0000000e+00 7.0000000e+00 1.9000000e+01 3.0000000e+00 2.7000000e+01 2.5000000e+01 3.0000000e+00 1.1000000e+01 1.1000000e+01 1.1000000e+01 9.0000000e+00 9.0000000e+00 1.1000000e+01 1.3000000e+01 1.0000000e+00 7.0000000e+00 3.0000000e+00 7.0000000e+00 1.0000000e+00 1.0000000e+00 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9.0000000e+00 1.0000000e+00 3.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 3.0000000e+00 5.0000000e+00 1.0000000e+00 5.0000000e+00 5.0000000e+00 2.8000000e+01 3.0000000e+00 1.1000000e+01 2.1000000e+01 1.9000000e+01 1.9000000e+01 3.0000000e+00 1.7000000e+01 1.1000000e+01 2.1000000e+01 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.7000000e+01 1.3000000e+01 3.0000000e+00 1.0000000e+00 1.0000000e+00 1.5000000e+01 9.0000000e+00 1.0000000e+00 5.0000000e+00 1.5000000e+01 1.7000000e+01 9.0000000e+00 7.0000000e+00 1.0000000e+00 9.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 3.0000000e+00 1.0000000e+00 9.0000000e+00 1.7000000e+01 5.0000000e+00 5.0000000e+00 9.0000000e+00 9.0000000e+00 7.0000000e+00 1.3000000e+01 1.1000000e+01 5.0000000e+00 1.5000000e+01 1.3000000e+01 5.0000000e+00 7.0000000e+00 1.3000000e+01 1.5000000e+01 7.0000000e+00 2.1000000e+01 1.0000000e+00 3.0000000e+00 5.0000000e+00 1.7000000e+01 2.5000000e+01 1.0000000e+00 1.9000000e+01 5.0000000e+00 7.0000000e+00 7.0000000e+00 1.9000000e+01 1.5000000e+01 2.7000000e+01 1.3000000e+01 5.0000000e+00 7.0000000e+00 1.3000000e+01 1.9000000e+01 7.0000000e+00 7.0000000e+00 3.0000000e+00 7.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 3.0000000e+00 1.3000000e+01 3.0000000e+00 9.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 7.0000000e+00 1.7000000e+01 7.0000000e+00 2.1000000e+01 9.0000000e+00 3.0000000e+00 1.7000000e+01 1.1000000e+01 9.0000000e+00 3.0000000e+00 9.0000000e+00 3.0000000e+00 7.0000000e+00 1.3000000e+01 3.0000000e+00 3.0000000e+00 1.5000000e+01 3.0000000e+00 1.7000000e+01 2.3000000e+01 2.3000000e+01 1.3000000e+01 1.0000000e+00 3.0000000e+00 1.3000000e+01 1.0000000e+00 5.0000000e+00 3.0000000e+00 1.3000000e+01 9.0000000e+00 1.0000000e+00 7.0000000e+00 5.0000000e+00 7.0000000e+00 5.0000000e+00 3.0000000e+00 3.0000000e+00 1.3000000e+01 5.0000000e+00 2.1000000e+01 5.0000000e+00 1.0000000e+00 1.3000000e+01 2.5000000e+01 1.7000000e+01 1.7000000e+01 3.0000000e+00 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1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes.names new file mode 100644 index 00000000..93ff94e7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetes.names @@ -0,0 +1,75 @@ +1. Title: Pima Indians Diabetes Database + +2. Sources: + (a) Original owners: National Institute of Diabetes and Digestive and + Kidney Diseases + (b) Donor of database: Vincent Sigillito (vgs@aplcen.apl.jhu.edu) + Research Center, RMI Group Leader + Applied Physics Laboratory + The Johns Hopkins University + Johns Hopkins Road + Laurel, MD 20707 + (301) 953-6231 + (c) Date received: 9 May 1990 + +3. Past Usage: + 1. Smith,~J.~W., Everhart,~J.~E., Dickson,~W.~C., Knowler,~W.~C., \& + Johannes,~R.~S. (1988). Using the ADAP learning algorithm to forecast + the onset of diabetes mellitus. In {\it Proceedings of the Symposium + on Computer Applications and Medical Care} (pp. 261--265). IEEE + Computer Society Press. + + The diagnostic, binary-valued variable investigated is whether the + patient shows signs of diabetes according to World Health Organization + criteria (i.e., if the 2 hour post-load plasma glucose was at least + 200 mg/dl at any survey examination or if found during routine medical + care). The population lives near Phoenix, Arizona, USA. + + Results: Their ADAP algorithm makes a real-valued prediction between + 0 and 1. This was transformed into a binary decision using a cutoff of + 0.448. Using 576 training instances, the sensitivity and specificity + of their algorithm was 76% on the remaining 192 instances. + +4. Relevant Information: + Several constraints were placed on the selection of these instances from + a larger database. In particular, all patients here are females at + least 21 years old of Pima Indian heritage. ADAP is an adaptive learning + routine that generates and executes digital analogs of perceptron-like + devices. It is a unique algorithm; see the paper for details. + +5. Number of Instances: 768 + +6. Number of Attributes: 8 plus class + +7. For Each Attribute: (all numeric-valued) + 1. Number of times pregnant + 2. Plasma glucose concentration a 2 hours in an oral glucose tolerance test + 3. Diastolic blood pressure (mm Hg) + 4. Triceps skin fold thickness (mm) + 5. 2-Hour serum insulin (mu U/ml) + 6. Body mass index (weight in kg/(height in m)^2) + 7. Diabetes pedigree function + 8. Age (years) + 9. Class variable (0 or 1) + +8. Missing Attribute Values: None + +9. Class Distribution: (class value 1 is interpreted as "tested positive for + diabetes") + + Class Value Number of instances + 0 500 + 1 268 + +10. Brief statistical analysis: + + Attribute number: Mean: Standard Deviation: + 1. 3.8 3.4 + 2. 120.9 32.0 + 3. 69.1 19.4 + 4. 20.5 16.0 + 5. 79.8 115.2 + 6. 32.0 7.9 + 7. 0.5 0.3 + 8. 33.2 11.8 + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetesD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetesD.m new file mode 100644 index 00000000..2b8406e2 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/diabetesD.m @@ -0,0 +1,22 @@ +load -ascii diabetes + +[N, m] = size(diabetes) + +class = N + +%rand('state',0); randn('state',0); +%diabetes = diabetes(:,randperm(m)); + +Napp = 400 +Ntest = m-Napp + +app = diabetes(:,1:Napp);size(app) +test = diabetes(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(diabetes') +clear diabetes + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german new file mode 100644 index 00000000..f613ac50 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german @@ -0,0 +1,25 @@ + 1.0000000e+00 2.0000000e+00 4.0000000e+00 1.0000000e+00 1.0000000e+00 4.0000000e+00 4.0000000e+00 2.0000000e+00 4.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 4.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 4.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 1.0000000e+00 4.0000000e+00 3.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 3.0000000e+00 2.0000000e+00 4.0000000e+00 3.0000000e+00 3.0000000e+00 2.0000000e+00 4.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 4.0000000e+00 4.0000000e+00 1.0000000e+00 4.0000000e+00 4.0000000e+00 2.0000000e+00 2.0000000e+00 4.0000000e+00 4.0000000e+00 2.0000000e+00 4.0000000e+00 2.0000000e+00 4.0000000e+00 3.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 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2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german.doc b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german.doc new file mode 100644 index 00000000..38b80dcb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/german.doc @@ -0,0 +1,175 @@ +Description of the German credit dataset. + +1. Title: German Credit data + +2. Source Information + +Professor Dr. Hans Hofmann +Institut f"ur Statistik und "Okonometrie +Universit"at Hamburg +FB Wirtschaftswissenschaften +Von-Melle-Park 5 +2000 Hamburg 13 + +3. Number of Instances: 1000 + +Two datasets are provided. the original dataset, in the form provided +by Prof. Hofmann, contains categorical/symbolic attributes and +is in the file "german.data". + +For algorithms that need numerical attributes, Strathclyde University +produced the file "german.data-numeric". This file has been edited +and several indicator variables added to make it suitable for +algorithms which cannot cope with categorical variables. Several +attributes that are ordered categorical (such as attribute 17) have +been coded as integer. This was the form used by StatLog. + + +6. Number of Attributes german: 20 (7 numerical, 13 categorical) + Number of Attributes german.numer: 24 (24 numerical) + + +7. Attribute description for german + +Attribute 1: (qualitative) + Status of existing checking account + A11 : ... < 0 DM + A12 : 0 <= ... < 200 DM + A13 : ... >= 200 DM / + salary assignments for at least 1 year + A14 : no checking account + +Attribute 2: (numerical) + Duration in month + +Attribute 3: (qualitative) + Credit history + A30 : no credits taken/ + all credits paid back duly + A31 : all credits at this bank paid back duly + A32 : existing credits paid back duly till now + A33 : delay in paying off in the past + A34 : critical account/ + other credits existing (not at this bank) + +Attribute 4: (qualitative) + Purpose + A40 : car (new) + A41 : car (used) + A42 : furniture/equipment + A43 : radio/television + A44 : domestic appliances + A45 : repairs + A46 : education + A47 : (vacation - does not exist?) + A48 : retraining + A49 : business + A410 : others + +Attribute 5: (numerical) + Credit amount + +Attibute 6: (qualitative) + Savings account/bonds + A61 : ... < 100 DM + A62 : 100 <= ... < 500 DM + A63 : 500 <= ... < 1000 DM + A64 : .. >= 1000 DM + A65 : unknown/ no savings account + +Attribute 7: (qualitative) + Present employment since + A71 : unemployed + A72 : ... < 1 year + A73 : 1 <= ... < 4 years + A74 : 4 <= ... < 7 years + A75 : .. >= 7 years + +Attribute 8: (numerical) + Installment rate in percentage of disposable income + +Attribute 9: (qualitative) + Personal status and sex + A91 : male : divorced/separated + A92 : female : divorced/separated/married + A93 : male : single + A94 : male : married/widowed + A95 : female : single + +Attribute 10: (qualitative) + Other debtors / guarantors + A101 : none + A102 : co-applicant + A103 : guarantor + +Attribute 11: (numerical) + Present residence since + +Attribute 12: (qualitative) + Property + A121 : real estate + A122 : if not A121 : building society savings agreement/ + life insurance + A123 : if not A121/A122 : car or other, not in attribute 6 + A124 : unknown / no property + +Attribute 13: (numerical) + Age in years + +Attribute 14: (qualitative) + Other installment plans + A141 : bank + A142 : stores + A143 : none + +Attribute 15: (qualitative) + Housing + A151 : rent + A152 : own + A153 : for free + +Attribute 16: (numerical) + Number of existing credits at this bank + +Attribute 17: (qualitative) + Job + A171 : unemployed/ unskilled - non-resident + A172 : unskilled - resident + A173 : skilled employee / official + A174 : management/ self-employed/ + highly qualified employee/ officer + +Attribute 18: (numerical) + Number of people being liable to provide maintenance for + +Attribute 19: (qualitative) + Telephone + A191 : none + A192 : yes, registered under the customers name + +Attribute 20: (qualitative) + foreign worker + A201 : yes + A202 : no + + + +8. Cost Matrix + +This dataset requires use of a cost matrix (see below) + + + 1 2 +---------------------------- + 1 0 1 +----------------------- + 2 5 0 + +(1 = Good, 2 = Bad) + +the rows represent the actual classification and the columns +the predicted classification. + +It is worse to class a customer as good when they are bad (5), +than it is to class a customer as bad when they are good (1). + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/germanD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/germanD.m new file mode 100644 index 00000000..bf597f58 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/germanD.m @@ -0,0 +1,22 @@ +load -ascii german + +[N, m] = size(german) + +class = N + +%rand('state',0); randn('state',0); +%german = german(:,randperm(m)); + +Napp = 600 +Ntest = m-Napp + +app = german(:,1:Napp);size(app) +test = german(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(german') +clear german + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart new file mode 100644 index 00000000..005c69f2 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart @@ -0,0 +1,14 @@ + 1.1000000e+01 1.1000000e+01 6.0000000e+00 1.0000000e+01 1.2000000e+01 1.1000000e+01 6.0000000e+00 8.0000000e+00 8.0000000e+00 9.0000000e+00 8.0000000e+00 6.0000000e+00 5.0000000e+00 8.0000000e+00 6.0000000e+00 1.2000000e+01 5.0000000e+00 6.0000000e+00 1.0000000e+01 5.0000000e+00 1.1000000e+01 5.0000000e+00 5.0000000e+00 5.0000000e+00 6.0000000e+00 5.0000000e+00 5.0000000e+00 6.0000000e+00 7.0000000e+00 1.2000000e+01 6.0000000e+00 1.1000000e+01 4.0000000e+00 8.0000000e+00 6.0000000e+00 5.0000000e+00 8.0000000e+00 8.0000000e+00 5.0000000e+00 5.0000000e+00 5.0000000e+00 9.0000000e+00 5.0000000e+00 5.0000000e+00 8.0000000e+00 7.0000000e+00 6.0000000e+00 5.0000000e+00 1.1000000e+01 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2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart.doc b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart.doc new file mode 100644 index 00000000..a75fa046 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart.doc @@ -0,0 +1,44 @@ +This database contains 13 attributes (which have been extracted from +a larger set of 75) + + + +Attribute Information: +------------------------ + -- 1. age + -- 2. sex + -- 3. chest pain type (4 values) + -- 4. resting blood pressure + -- 5. serum cholestoral in mg/dl + -- 6. fasting blood sugar > 120 mg/dl + -- 7. resting electrocardiographic results (values 0,1,2) + -- 8. maximum heart rate achieved + -- 9. exercise induced angina + -- 10. oldpeak = ST depression induced by exercise relative to rest + -- 11. the slope of the peak exercise ST segment + -- 12. number of major vessels (0-3) colored by flourosopy + -- 13. thal: 3 = normal; 6 = fixed defect; 7 = reversable defect + +Attributes types +----------------- + +Real: 1,4,5,8,10,12 +Ordered:11, +Binary: 2,6,9 +Nominal:7,3,13 + +Variable to be predicted +------------------------ +Absence (1) or presence (2) of heart disease + +Cost Matrix + + abse pres +absence 0 1 +presence 5 0 + +where the rows represent the true values and the columns the predicted. + +No missing values. + +270 observations diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart2 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1.0 0.0 3.0 1 +71.0 0.0 2.0 160.0 302.0 0.0 0.0 162.0 0.0 0.4 1.0 2.0 3.0 1 +61.0 1.0 3.0 150.0 243.0 1.0 0.0 137.0 1.0 1.0 2.0 0.0 3.0 1 +55.0 1.0 4.0 132.0 353.0 0.0 0.0 132.0 1.0 1.2 2.0 1.0 7.0 2 +64.0 1.0 3.0 140.0 335.0 0.0 0.0 158.0 0.0 0.0 1.0 0.0 3.0 2 +43.0 1.0 4.0 150.0 247.0 0.0 0.0 171.0 0.0 1.5 1.0 0.0 3.0 1 +58.0 0.0 3.0 120.0 340.0 0.0 0.0 172.0 0.0 0.0 1.0 0.0 3.0 1 +60.0 1.0 4.0 130.0 206.0 0.0 2.0 132.0 1.0 2.4 2.0 2.0 7.0 2 +58.0 1.0 2.0 120.0 284.0 0.0 2.0 160.0 0.0 1.8 2.0 0.0 3.0 2 +49.0 1.0 2.0 130.0 266.0 0.0 0.0 171.0 0.0 0.6 1.0 0.0 3.0 1 +48.0 1.0 2.0 110.0 229.0 0.0 0.0 168.0 0.0 1.0 3.0 0.0 7.0 2 +52.0 1.0 3.0 172.0 199.0 1.0 0.0 162.0 0.0 0.5 1.0 0.0 7.0 1 +44.0 1.0 2.0 120.0 263.0 0.0 0.0 173.0 0.0 0.0 1.0 0.0 7.0 1 +56.0 0.0 2.0 140.0 294.0 0.0 2.0 153.0 0.0 1.3 2.0 0.0 3.0 1 +57.0 1.0 4.0 140.0 192.0 0.0 0.0 148.0 0.0 0.4 2.0 0.0 6.0 1 +67.0 1.0 4.0 160.0 286.0 0.0 2.0 108.0 1.0 1.5 2.0 3.0 3.0 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart2.mat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart2.mat new file mode 100644 index 00000000..d276285e Binary files /dev/null and b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heart2.mat differ diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heartD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heartD.m new file mode 100644 index 00000000..b74bd941 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/heartD.m @@ -0,0 +1,22 @@ +load -ascii heart + +[N, m] = size(heart) + +class = N + +%rand('state',0); randn('state',0); +%heart = heart(:,randperm(m)); + +Napp = 150 +Ntest = m-Napp + +app = heart(:,1:Napp);size(app) +test = heart(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(heart') +clear heart + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitis.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitis.dat new file mode 100644 index 00000000..071fabec --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitis.dat @@ -0,0 +1,155 @@ +2 30 2 1 2 2 2 2 1 2 2 2 2 2 1.00 85 18 4.0 -9999 1 +2 50 1 1 2 1 2 2 1 2 2 2 2 2 0.90 135 42 3.5 -9999 1 +2 78 1 2 2 1 2 2 2 2 2 2 2 2 0.70 96 32 4.0 -9999 1 +2 31 1 -9999 1 2 2 2 2 2 2 2 2 2 0.70 46 52 4.0 80 1 +2 34 1 2 2 2 2 2 2 2 2 2 2 2 1.00 -9999 200 4.0 -9999 1 +2 34 1 2 2 2 2 2 2 2 2 2 2 2 0.90 95 28 4.0 75 1 +1 51 1 1 2 1 2 1 2 2 1 1 2 2 -9999 -9999 -9999 -9999 -9999 1 +2 23 1 2 2 2 2 2 2 2 2 2 2 2 1.00 -9999 -9999 -9999 -9999 1 +2 39 1 2 2 1 2 2 2 1 2 2 2 2 0.70 -9999 48 4.4 -9999 1 +2 30 1 2 2 2 2 2 2 2 2 2 2 2 1.00 -9999 120 3.9 -9999 1 +2 39 1 1 1 2 2 2 1 1 2 2 2 2 1.30 78 30 4.4 85 1 +2 32 1 2 1 1 2 2 2 1 2 1 2 2 1.00 59 249 3.7 54 1 +2 41 1 2 1 1 2 2 2 1 2 2 2 2 0.90 81 60 3.9 52 1 +2 30 1 2 2 1 2 2 2 1 2 2 2 2 2.20 57 144 4.9 78 1 +2 47 1 1 1 2 2 2 2 2 2 2 2 2 -9999 -9999 60 -9999 -9999 1 +2 38 1 1 2 1 1 1 2 2 2 2 1 2 2.00 72 89 2.9 46 1 +2 66 1 2 2 1 2 2 2 2 2 2 2 2 1.20 102 53 4.3 -9999 1 +2 40 1 1 2 1 2 2 2 1 2 2 2 2 0.60 62 166 4.0 63 1 +2 38 1 2 2 2 2 2 2 2 2 2 2 2 0.70 53 42 4.1 85 2 +2 38 1 1 1 2 2 2 1 1 2 2 2 2 0.70 70 28 4.2 62 1 +2 22 2 2 1 1 2 2 2 2 2 2 2 2 0.90 48 20 4.2 64 1 +2 27 1 2 2 1 1 1 1 1 1 1 2 2 1.20 133 98 4.1 39 1 +2 31 1 2 2 2 2 2 2 2 2 2 2 2 1.00 85 20 4.0 100 1 +2 42 1 2 2 2 2 2 2 2 2 2 2 2 0.90 60 63 4.7 47 1 +2 25 2 1 1 2 2 2 2 2 2 2 2 2 0.40 45 18 4.3 70 1 +2 27 1 1 2 1 1 2 2 2 2 2 2 2 0.80 95 46 3.8 100 1 +2 49 1 1 1 1 1 1 2 1 2 1 2 2 0.60 85 48 3.7 -9999 1 +2 58 2 2 2 1 2 2 2 1 2 1 2 2 1.40 175 55 2.7 36 1 +2 61 1 1 2 1 2 2 1 1 2 2 2 2 1.30 78 25 3.8 100 1 +2 51 1 1 1 1 1 2 2 2 2 2 2 2 1.00 78 58 4.6 52 1 +1 39 1 1 1 1 1 2 2 1 2 2 2 2 2.30 280 98 3.8 40 1 +1 62 1 1 2 1 1 2 -9999 -9999 2 2 2 2 1.00 -9999 60 -9999 -9999 1 +2 41 2 2 1 1 1 1 2 2 2 2 2 2 0.70 81 53 5.0 74 1 +2 26 2 1 2 2 2 2 2 1 2 2 2 2 0.50 135 29 3.8 60 1 +2 35 1 2 2 1 2 2 2 2 2 2 2 2 0.90 58 92 4.3 73 1 +1 37 1 2 2 1 2 2 2 2 2 1 2 2 0.60 67 28 4.2 -9999 1 +2 23 1 2 2 1 1 1 2 2 1 2 2 2 1.30 194 150 4.1 90 1 +2 20 2 1 2 1 1 1 1 1 1 1 2 2 2.30 150 68 3.9 -9999 1 +2 42 1 1 2 2 2 2 2 2 2 2 2 2 1.00 85 14 4.0 100 1 +2 65 1 2 2 1 1 2 2 1 1 1 1 2 0.30 180 53 2.9 74 2 +2 52 1 1 1 2 2 2 2 2 2 2 2 2 0.70 75 55 4.0 21 1 +2 23 1 2 2 2 2 2 -9999 -9999 -9999 -9999 -9999 -9999 4.60 56 16 4.6 -9999 1 +2 33 1 2 2 2 2 2 2 2 2 2 2 2 1.00 46 90 4.4 60 1 +2 56 1 1 2 1 2 2 2 2 2 2 2 2 0.70 71 18 4.4 100 1 +2 34 1 2 2 2 2 2 2 2 2 2 2 2 -9999 -9999 86 -9999 -9999 1 +2 28 1 2 2 1 1 2 2 2 2 2 2 2 0.70 74 110 4.4 -9999 1 +2 37 1 1 2 2 2 2 2 1 2 1 2 2 0.60 80 80 3.8 -9999 1 +2 28 2 2 2 1 1 2 2 1 2 2 2 2 1.80 191 420 3.3 46 1 +2 36 1 1 2 2 2 2 2 2 1 2 2 2 0.80 85 44 4.2 85 1 +2 38 1 2 1 1 1 1 2 2 2 1 2 2 0.70 125 65 4.2 77 1 +2 39 1 1 2 2 2 2 2 2 2 2 2 2 0.90 85 60 4.0 -9999 1 +2 39 1 2 2 2 2 2 2 2 2 2 2 2 1.00 85 20 4.0 -9999 1 +2 44 1 2 2 2 2 2 2 2 2 2 2 2 0.60 110 145 4.4 70 1 +2 40 1 2 1 1 2 2 2 1 1 2 2 2 1.20 85 31 4.0 100 1 +2 30 1 2 2 1 2 2 2 2 2 2 2 2 0.70 50 78 4.2 74 1 +2 37 1 1 2 1 1 1 2 2 2 2 2 2 0.80 92 59 -9999 -9999 1 +2 34 1 1 2 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 1 +2 30 1 2 1 2 2 2 2 2 2 2 2 2 0.70 52 38 3.9 52 1 +2 64 1 2 1 1 1 2 1 1 2 2 2 2 1.00 80 38 4.3 74 1 +2 45 2 1 2 1 1 2 2 2 1 2 2 2 1.00 85 75 -9999 -9999 1 +2 37 1 2 2 2 2 2 2 2 2 2 2 2 0.70 26 58 4.5 100 1 +2 32 1 2 2 2 2 2 2 2 2 2 2 2 0.70 102 64 4.0 90 1 +2 32 1 2 2 1 1 1 2 2 2 1 2 1 3.50 215 54 3.4 29 1 +2 36 1 1 2 2 2 2 1 1 1 2 2 2 0.70 164 44 3.1 41 1 +2 49 1 2 2 1 1 2 2 2 2 2 2 2 0.80 103 43 3.5 66 1 +2 27 1 2 2 2 2 2 2 2 2 2 2 2 0.80 -9999 38 4.2 -9999 1 +2 56 1 1 2 2 2 2 2 2 2 2 2 2 0.70 62 33 3.0 -9999 1 +1 57 1 2 2 1 1 1 2 2 2 1 1 2 4.10 -9999 48 2.6 73 1 +2 39 1 2 2 1 2 2 2 2 2 2 2 2 1.00 34 15 4.0 54 1 +2 44 1 1 2 1 1 2 2 2 2 2 2 2 1.60 68 68 3.7 -9999 1 +2 24 1 2 2 2 2 2 2 2 2 2 2 2 0.80 82 39 4.3 -9999 1 +1 34 1 1 2 1 1 2 1 1 2 1 2 2 2.80 127 182 -9999 -9999 1 +2 51 1 2 2 1 1 1 -9999 -9999 -9999 -9999 -9999 -9999 0.90 76 271 4.4 -9999 1 +2 36 1 1 2 1 1 1 2 1 2 2 2 2 1.00 -9999 45 4.0 57 1 +2 50 1 2 2 2 2 2 2 2 2 2 2 2 1.50 100 100 5.3 -9999 1 +2 32 1 1 1 1 1 2 2 2 2 2 2 2 1.00 55 45 4.1 56 1 +1 58 1 2 2 1 2 2 1 1 1 1 2 2 2.00 167 242 3.3 -9999 1 +2 34 2 1 1 2 2 2 2 1 2 2 2 2 0.60 30 24 4.0 76 1 +2 34 1 1 2 1 2 2 1 1 2 1 2 2 1.00 72 46 4.4 57 1 +2 28 1 2 2 2 2 2 2 2 2 2 2 2 0.70 85 31 4.9 -9999 1 +2 23 1 2 2 1 1 1 2 2 2 2 2 2 0.80 -9999 14 4.8 -9999 1 +2 36 1 2 2 2 2 2 2 2 2 2 2 2 0.70 62 224 4.2 100 1 +2 30 1 1 2 2 2 2 2 2 2 2 2 2 0.70 100 31 4.0 100 1 +2 67 2 1 2 1 1 2 2 2 -9999 -9999 -9999 -9999 1.50 179 69 2.9 -9999 1 +2 62 2 2 2 1 1 2 2 1 2 1 2 2 1.30 141 156 3.9 58 1 +2 28 1 1 2 1 1 1 2 1 2 2 2 2 1.60 44 123 4.0 46 1 +1 44 1 1 2 1 1 2 2 2 1 2 2 1 0.90 135 55 -9999 41 2 +1 30 1 2 2 1 1 1 2 1 2 1 1 1 2.50 165 64 2.8 -9999 2 +1 38 1 1 2 1 1 1 2 1 2 1 1 1 1.20 118 16 2.8 -9999 2 +2 38 1 1 2 1 1 1 1 1 2 2 2 2 0.60 76 18 4.4 84 2 +2 50 2 1 2 1 2 2 1 1 1 1 2 2 0.90 230 117 3.4 41 2 +1 42 1 1 2 1 1 1 2 2 1 1 2 1 4.60 -9999 55 3.3 -9999 2 +2 33 1 2 2 2 2 2 -9999 -9999 2 2 2 2 1.00 -9999 60 4.0 -9999 2 +2 52 1 1 2 2 2 2 2 2 2 2 2 2 1.50 -9999 69 2.9 -9999 2 +1 59 1 1 2 1 1 2 2 1 1 1 2 2 1.50 107 157 3.6 38 2 +2 40 1 1 1 1 1 1 1 1 2 2 2 2 0.60 40 69 4.2 67 2 +2 30 1 1 2 1 1 2 2 1 2 1 2 2 0.80 147 128 3.9 100 2 +2 44 1 1 2 1 1 2 1 1 2 1 2 2 3.00 114 65 3.5 -9999 2 +1 47 1 2 2 2 2 2 2 2 2 1 2 1 2.00 84 23 4.2 66 2 +2 60 1 1 2 1 2 2 1 1 1 1 2 2 -9999 -9999 40 -9999 -9999 2 +1 48 1 1 2 1 1 2 2 1 2 1 1 1 4.80 123 157 2.7 31 2 +2 22 1 2 2 2 2 2 2 2 2 2 2 2 0.70 -9999 24 -9999 -9999 2 +2 27 1 1 2 1 2 2 2 1 2 2 2 2 2.40 168 227 3.0 66 2 +2 51 1 1 2 1 1 1 2 1 1 1 2 1 4.60 215 269 3.9 51 2 +1 47 1 2 2 1 1 2 2 1 2 2 1 1 1.70 86 20 2.1 46 2 +2 25 1 2 2 2 2 2 2 2 2 2 2 2 0.60 -9999 34 6.4 -9999 2 +1 35 1 1 2 1 2 2 -9999 -9999 1 1 1 2 1.50 138 58 2.6 -9999 2 +2 45 1 1 2 1 1 1 2 2 2 2 2 2 2.30 -9999 648 -9999 -9999 2 +2 54 1 1 1 2 2 2 1 1 2 2 2 2 1.00 155 225 3.6 67 2 +1 33 1 1 2 1 1 2 2 2 2 2 1 2 0.70 63 80 3.0 31 2 +2 7 1 2 2 2 2 2 2 1 1 2 2 2 0.70 256 25 4.2 -9999 2 +1 42 1 1 1 1 1 2 2 2 2 1 2 2 0.50 62 68 3.8 29 2 +2 52 1 1 2 1 2 2 2 2 2 2 2 2 1.00 85 30 4.0 -9999 2 +2 45 1 1 2 1 2 2 2 1 1 2 2 2 1.20 81 65 3.0 -9999 1 +2 36 1 1 2 2 2 2 2 2 2 2 2 2 1.10 141 75 3.3 -9999 2 +2 69 2 2 2 1 2 2 2 2 2 2 2 2 3.20 119 136 -9999 -9999 2 +2 24 1 1 2 1 2 2 2 2 2 2 2 2 1.00 -9999 34 4.1 -9999 2 +2 50 1 2 2 2 2 2 2 2 2 2 2 2 1.00 139 81 3.9 62 2 +1 61 1 1 2 1 1 2 -9999 -9999 2 1 2 2 -9999 -9999 -9999 -9999 -9999 2 +2 54 1 2 2 1 2 2 1 1 2 2 2 2 3.20 85 28 3.8 -9999 2 +1 56 1 1 2 1 1 1 1 1 2 1 2 2 2.90 90 153 4.0 -9999 2 +2 20 1 1 2 1 1 1 2 2 2 1 1 2 1.00 160 118 2.9 23 2 +2 42 1 2 2 2 2 2 2 2 1 2 2 2 1.50 85 40 -9999 -9999 2 +2 37 1 1 2 1 2 2 2 2 2 1 2 2 0.90 -9999 231 4.3 -9999 2 +2 50 1 2 2 2 2 2 2 1 1 1 2 2 1.00 85 75 4.0 72 2 +2 34 2 2 2 1 1 1 1 1 2 1 2 2 0.70 70 24 4.1 100 2 +2 28 1 2 2 1 1 1 -9999 -9999 2 1 1 2 1.00 -9999 20 4.0 -9999 2 +1 50 1 2 2 1 2 2 2 1 1 2 1 1 2.80 155 75 2.4 32 2 +2 54 1 1 2 1 1 2 2 2 2 2 1 2 1.20 85 92 3.1 66 2 +1 57 1 1 2 1 1 2 2 2 2 1 1 2 4.60 82 55 3.3 30 2 +2 54 1 2 2 2 2 2 2 2 2 2 2 2 1.00 85 30 4.5 0 2 +1 31 1 1 2 1 1 1 2 2 1 2 2 2 8.00 -9999 101 2.2 -9999 2 +2 48 1 2 2 1 1 1 2 1 2 1 2 2 2.00 158 278 3.8 -9999 2 +2 72 1 2 1 1 2 2 2 1 2 2 2 2 1.00 115 52 3.4 50 2 +1 38 1 1 2 2 2 2 2 1 2 2 2 2 0.40 243 49 3.8 90 2 +2 25 1 2 2 1 2 2 1 1 1 1 1 1 1.30 181 181 4.5 57 2 +2 51 1 2 2 2 2 2 1 1 2 1 2 2 0.80 -9999 33 4.5 -9999 2 +2 38 1 2 2 2 2 2 2 1 2 1 2 1 1.60 130 140 3.5 56 2 +1 47 1 2 2 1 1 2 2 1 2 1 1 1 1.00 166 30 2.6 31 2 +2 45 1 2 1 2 2 2 2 2 2 2 2 2 1.30 85 44 4.2 85 2 +2 36 1 1 2 1 1 1 1 1 2 1 2 1 1.70 295 60 2.7 -9999 2 +1 54 1 1 2 1 1 2 -9999 -9999 1 2 1 2 3.90 120 28 3.5 43 2 +2 51 1 2 2 1 2 2 2 1 1 1 2 1 1.00 -9999 20 3.0 63 2 +1 49 1 1 2 1 1 2 2 2 1 1 2 2 1.40 85 70 3.5 35 2 +1 45 1 2 2 1 1 1 2 2 2 1 1 2 1.90 -9999 114 2.4 -9999 2 +2 31 1 1 2 1 2 2 2 2 2 2 2 2 1.20 75 173 4.2 54 2 +1 41 1 2 2 1 2 2 2 1 1 1 2 1 4.20 65 120 3.4 -9999 2 +1 70 1 1 2 1 1 1 -9999 -9999 -9999 -9999 -9999 -9999 1.70 109 528 2.8 35 2 +2 20 1 1 2 2 2 2 2 -9999 2 2 2 2 0.90 89 152 4.0 -9999 2 +2 36 1 2 2 2 2 2 2 2 2 2 2 2 0.60 120 30 4.0 -9999 2 +1 46 1 2 2 1 1 1 2 2 2 1 1 1 7.60 -9999 242 3.3 50 2 +2 44 1 2 2 1 2 2 2 1 2 2 2 2 0.90 126 142 4.3 -9999 2 +2 61 1 1 2 1 1 2 1 1 2 1 2 2 0.80 75 20 4.1 -9999 2 +2 53 2 1 2 1 2 2 2 2 1 1 2 1 1.50 81 19 4.1 48 2 +1 43 1 2 2 1 2 2 2 2 1 1 1 2 1.20 100 19 3.1 42 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitisL.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitisL.m new file mode 100644 index 00000000..43d89fb1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/hepatitisL.m @@ -0,0 +1,35 @@ +load -ascii hepatitis.dat +hepatitisD=hepatitis'; +clear hepatitis + +[N, m] = size(hepatitisD) +misv=-9999; + +class = 1 + +%rand('state',0); randn('state',0); +%abalone = abalone(:,randperm(m)); + +ns = max(hepatitisD'); +Cont=find(ns>2); +for node = Cont + [I,J]=find(hepatitisD(node,:)~=misv); + [N,EDGES,NBEDGES,XECHAN] = hist_ic(hepatitisD(node,J),3); + hepatitisD(node,J)=XECHAN; +end + +[N, m] = size(hepatitisD); +ns = max(hepatitisD') + +Napp = 90; +Ntest = m-Napp + +app = hepatitisD(:,1:Napp);size(app) +test = hepatitisD(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +clear hepatitisD node Cont EDGES NBEDGES XECHAN + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horse.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horse.dat new file mode 100644 index 00000000..488f82b6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horse.dat @@ -0,0 +1,300 @@ +2 1 530101 38.50 66 28 3 3 -9999 2 5 4 4 -9999 -9999 -9999 3 5 45.00 8.40 -9999 -9999 2 2 11300 00000 00000 2 +1 1 534817 39.2 88 20 -9999 -9999 4 1 3 4 2 -9999 -9999 -9999 4 2 50 85 2 2 3 2 02208 00000 00000 2 +2 1 530334 38.30 40 24 1 1 3 1 3 3 1 -9999 -9999 -9999 1 1 33.00 6.70 -9999 -9999 1 2 00000 00000 00000 1 +1 9 5290409 39.10 164 84 4 1 6 2 2 4 4 1 2 5.00 3 -9999 48.00 7.20 3 5.30 2 1 02208 00000 00000 1 +2 1 530255 37.30 104 35 -9999 -9999 6 2 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 74.00 7.40 -9999 -9999 2 2 04300 00000 00000 2 +2 1 528355 -9999 -9999 -9999 2 1 3 1 2 3 2 2 1 -9999 3 3 -9999 -9999 -9999 -9999 1 2 00000 00000 00000 2 +1 1 526802 37.90 48 16 1 1 1 1 3 3 3 1 1 -9999 3 5 37.00 7.00 -9999 -9999 1 1 03124 00000 00000 2 +1 1 529607 -9999 60 -9999 3 -9999 -9999 1 -9999 4 2 2 1 -9999 3 4 44.00 8.30 -9999 -9999 2 1 02208 00000 00000 2 +2 1 530051 -9999 80 36 3 4 3 1 4 4 4 2 1 -9999 3 5 38.00 6.20 -9999 -9999 3 1 03205 00000 00000 2 +2 9 5299629 38.30 90 -9999 1 -9999 1 1 5 3 1 2 1 -9999 3 -9999 40.00 6.20 1 2.20 1 2 00000 00000 00000 1 +1 1 528548 38.10 66 12 3 3 5 1 3 3 1 2 1 3.00 2 5 44.00 6.00 2 3.60 1 1 02124 00000 00000 1 +2 1 527927 39.10 72 52 2 -9999 2 1 2 1 2 1 1 -9999 4 4 50.00 7.80 -9999 -9999 1 1 02111 00000 00000 2 +1 1 528031 37.20 42 12 2 1 1 1 3 3 3 3 1 -9999 4 5 -9999 7.00 -9999 -9999 1 2 04124 00000 00000 2 +2 9 5291329 38.00 92 28 1 1 2 1 1 3 2 3 -9999 7.20 1 1 37.00 6.10 1 -9999 2 2 00000 00000 00000 1 +1 1 534917 38.2 76 28 3 1 1 1 3 4 1 2 2 -9999 4 4 46 81 1 2 1 1 02112 00000 00000 2 +1 1 530233 37.60 96 48 3 1 4 1 5 3 3 2 3 4.50 4 -9999 45.00 6.80 -9999 -9999 2 1 03207 00000 00000 2 +1 9 5301219 -9999 128 36 3 3 4 2 4 4 3 3 -9999 -9999 4 5 53.00 7.80 3 4.70 2 2 01400 00000 00000 1 +2 1 526639 37.50 48 24 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 1 2 00000 00000 00000 2 +1 1 5290481 37.60 64 21 1 1 2 1 2 3 1 1 1 -9999 2 5 40.00 7.00 1 -9999 1 1 04205 00000 00000 1 +2 1 532110 39.4 110 35 4 3 6 -9999 -9999 3 3 -9999 -9999 -9999 -9999 -9999 55 8.7 -9999 -9999 1 2 00000 00000 00000 2 +1 1 530157 39.90 72 60 1 1 5 2 5 4 4 3 1 -9999 4 4 46.00 6.10 2 -9999 1 1 02111 00000 00000 2 +2 1 529340 38.40 48 16 1 -9999 1 1 1 3 1 2 3 5.50 4 3 49.00 6.80 -9999 -9999 1 2 00000 00000 00000 2 +1 1 521681 38.60 42 34 2 1 4 -9999 2 3 1 -9999 -9999 -9999 1 -9999 48.00 7.20 -9999 -9999 1 1 03111 00000 00000 2 +1 9 534998 38.3 130 60 -9999 3 -9999 1 2 4 -9999 -9999 -9999 -9999 -9999 -9999 50 70 -9999 -9999 1 1 03111 00000 00000 2 +1 1 533692 38.1 60 12 3 3 3 1 -9999 4 3 3 2 2 -9999 -9999 51 65 -9999 -9999 1 1 03111 00000 00000 2 +2 1 529518 37.80 60 42 -9999 -9999 -9999 1 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 1 2 00000 00000 00000 2 +1 1 530526 38.30 72 30 4 3 3 2 3 3 3 2 1 -9999 3 5 43.00 7.00 2 3.90 1 1 03111 00000 00000 1 +1 1 528653 37.80 48 12 3 1 1 1 -9999 3 2 1 1 -9999 1 3 37.00 5.50 2 1.30 1 2 04122 00000 00000 1 +1 1 5279442 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 -9999 2 2 04300 00000 00000 2 +2 1 535415 37.7 48 -9999 2 1 1 1 1 1 1 1 1 -9999 -9999 -9999 45 76 -9999 -9999 1 2 00000 00000 00000 2 +2 1 529475 37.70 96 30 3 3 4 2 5 4 4 3 2 4.00 4 5 66.00 7.50 -9999 -9999 2 1 04205 00000 00000 2 +2 1 530242 37.20 108 12 3 3 4 2 2 4 2 -9999 3 6.00 3 3 52.00 8.20 3 7.40 3 1 02207 00000 00000 1 +1 1 529427 37.20 60 -9999 2 1 1 1 3 3 3 2 1 -9999 4 5 43.00 6.60 -9999 -9999 1 1 02209 00000 00000 2 +1 1 529663 38.20 64 28 1 1 1 1 3 1 -9999 -9999 -9999 -9999 4 4 49.00 8.60 2 6.60 1 1 02208 00000 00000 1 +1 1 529796 -9999 100 30 3 3 4 2 5 4 4 3 3 -9999 4 4 52.00 6.60 -9999 -9999 1 1 01124 00000 00000 2 +2 1 528812 -9999 104 24 4 3 3 2 4 4 3 -9999 3 -9999 -9999 2 73.00 8.40 -9999 -9999 3 1 07111 00000 00000 2 +2 1 529493 38.30 112 16 -9999 3 5 2 -9999 -9999 1 1 2 -9999 -9999 5 51.00 6.00 2 1.00 3 2 05205 00000 00000 1 +1 1 533847 37.8 72 -9999 -9999 3 -9999 1 5 3 1 -9999 1 -9999 1 1 56 80 1 2 1 1 03111 00000 00000 2 +2 1 528996 38.60 52 -9999 1 1 1 1 3 3 2 1 1 -9999 1 3 32.00 6.60 1 5.00 1 2 00000 00000 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1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseL.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseL.m new file mode 100644 index 00000000..6fc3c023 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseL.m @@ -0,0 +1,41 @@ +load -ascii horseD +load -ascii horseTD + +% horse = horse'; +% horse(2,:)=(horse(2,:)-1)/8+1; +% horse(27,:)=horse(27,:)/2209+1; +% horseT = horseT'; +% horseT(2,:)=(horseT(2,:)-1)/8+1; +% horseT(27,:)=horseT(27,:)/2209+1; +% [horseD, horseTD] = discretization(3, [3,4,5,6,16,19,20,22,25], -9999, horse, horseT); +% horseD(26,:)= nominalval(horseD(26,:)); +% horseTD(26,:)= nominalval(horseTD(26,:)); + +[N, Napp] = size(horseD); +ns=max([horseD,horseTD]') +UNI=find(ns==1); +horseD=horseD(mysetdiff(1:N,UNI),:); +horseTD=horseTD(mysetdiff(1:N,UNI),:); +ns=max([horseD,horseTD]') + +[N, Napp] = size(horseD); +[N, Ntest] = size(horseTD); + +N, m=Napp+Ntest, Napp, Ntest, +class = 1 + +%rand('state',0); randn('state',0); + +app = horseD; +test = horseTD; +fotest = test(:,9); % la classe est absente :-/ +newtest = app(:,299); +app(:,299) = fotest; +test(:,9) = newtest; + +unique(app(class,:)) +unique(test(class,:)) + +clear horseD horseTD fotest newtest + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseTD b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseTD new file mode 100644 index 00000000..de8b95df --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/horseTD @@ -0,0 +1,28 @@ + 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 -9.9990000e+03 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 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1 1 2 1 2 2 1 1 1 +2 2 1 1 2 2 -9999 1 1 1 1 1 2 -9999 1 1 1 +2 2 2 1 2 2 2 1 1 2 1 1 2 2 2 1 -9999 +2 1 2 1 2 2 2 1 1 1 1 2 2 2 2 1 1 +1 2 2 2 1 1 1 1 1 2 1 2 1 1 1 2 1 +2 -9999 -9999 -9999 2 2 2 1 1 1 1 2 2 1 2 1 1 +2 1 2 1 2 -9999 2 1 1 1 1 2 1 2 -9999 1 1 +1 2 2 1 1 1 1 2 2 1 1 2 1 1 1 2 1 +2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 2 1 +1 2 -9999 2 1 1 1 2 2 2 2 1 1 1 1 2 1 +1 2 2 2 1 1 1 -9999 -9999 -9999 -9999 2 1 1 1 2 1 +1 2 1 2 1 1 1 2 2 2 1 2 1 1 1 -9999 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/houseL.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/houseL.m new file mode 100644 index 00000000..d2e92617 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/houseL.m @@ -0,0 +1,22 @@ +load -ascii house.dat +houseD=house'; +clear house + +[N, m] = size(houseD) + +class = 1 + +%rand('state',0); randn('state',0); +%houseD = houseD(:,randperm(m)); + +Napp = ceil(m*2/3); +Ntest = m-Napp + +app = houseD(:,1:Napp);size(app) +test = houseD(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(houseD') +clear houseD diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.data b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.data new file mode 100644 index 00000000..6e709591 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.data @@ -0,0 +1,20000 @@ +20,2,8,3,5,1,8,13,0,6,6,10,8,0,8,0,8 +9,5,12,3,7,2,10,5,5,4,13,3,9,2,8,4,10 +4,4,11,6,8,6,10,6,2,6,10,3,7,3,7,3,9 +14,7,11,6,6,3,5,9,4,6,4,4,10,6,10,2,8 +7,2,1,3,1,1,8,6,6,6,6,5,9,1,7,5,10 +19,4,11,5,8,3,8,8,6,9,5,6,6,0,8,9,7 +2,4,2,5,4,4,8,7,6,6,7,6,6,2,8,7,10 +1,1,1,3,2,1,8,2,2,2,8,2,8,1,6,2,7 +10,2,2,4,4,2,10,6,2,6,12,4,8,1,6,1,7 +13,11,15,13,9,7,13,2,6,2,12,1,9,8,1,1,8 +24,3,9,5,7,4,8,7,3,8,5,6,8,2,8,6,7 +15,6,13,4,7,4,6,7,6,3,10,7,9,5,9,5,8 +7,4,9,6,7,6,7,8,6,2,6,5,11,4,8,7,8 +13,6,9,8,6,9,7,8,6,5,7,5,8,8,9,8,6 +18,5,9,5,7,6,6,11,7,3,7,3,9,2,7,5,11 +6,6,9,5,4,3,10,6,3,5,10,5,7,3,9,6,9 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a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.names new file mode 100644 index 00000000..33a5eae9 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letterD.names @@ -0,0 +1,62 @@ +1. Title: Letter Image Recognition Data + +2. Source Information + -- Creator: David J. Slate + -- Odesta Corporation; 1890 Maple Ave; Suite 115; Evanston, IL 60201 + -- Donor: David J. Slate (dave@math.nwu.edu) (708) 491-3867 + -- Date: January, 1991 + +3. Past Usage: + -- P. W. Frey and D. J. Slate (Machine Learning Vol 6 #2 March 91): + "Letter Recognition Using Holland-style Adaptive Classifiers". + + The research for this article investigated the ability of several + variations of Holland-style adaptive classifier systems to learn to + correctly guess the letter categories associated with vectors of 16 + integer attributes extracted from raster scan images of the letters. + The best accuracy obtained was a little over 80%. It would be + interesting to see how well other methods do with the same data. + +4. Relevant Information: + + The objective is to identify each of a large number of black-and-white + rectangular pixel displays as one of the 26 capital letters in the English + alphabet. The character images were based on 20 different fonts and each + letter within these 20 fonts was randomly distorted to produce a file of + 20,000 unique stimuli. Each stimulus was converted into 16 primitive + numerical attributes (statistical moments and edge counts) which were then + scaled to fit into a range of integer values from 0 through 15. We + typically train on the first 16000 items and then use the resulting model + to predict the letter category for the remaining 4000. See the article + cited above for more details. + +5. Number of Instances: 20000 + +6. Number of Attributes: 17 (Letter category and 16 numeric features) + +7. Attribute Information: + 1. lettr capital letter (26 values from A to Z) + 2. x-box horizontal position of box (integer) + 3. y-box vertical position of box (integer) + 4. width width of box (integer) + 5. high height of box (integer) + 6. onpix total # on pixels (integer) + 7. x-bar mean x of on pixels in box (integer) + 8. y-bar mean y of on pixels in box (integer) + 9. x2bar mean x variance (integer) + 10. y2bar mean y variance (integer) + 11. xybar mean x y correlation (integer) + 12. x2ybr mean of x * x * y (integer) + 13. xy2br mean of x * y * y (integer) + 14. x-ege mean edge count left to right (integer) + 15. xegvy correlation of x-ege with y (integer) + 16. y-ege mean edge count bottom to top (integer) + 17. yegvx correlation of y-ege with x (integer) + +8. Missing Attribute Values: None + +9. Class Distribution: + 789 A 766 B 736 C 805 D 768 E 775 F 773 G + 734 H 755 I 747 J 739 K 761 L 792 M 783 N + 753 O 803 P 783 Q 758 R 748 S 796 T 813 U + 764 V 752 W 787 X 786 Y 734 Z diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letter_A b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letter_A new file mode 100644 index 00000000..0a465011 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/letter_A @@ -0,0 +1,17 @@ + 3.0000000e+00 5.0000000e+00 8.0000000e+00 5.0000000e+00 7.0000000e+00 5.0000000e+00 7.0000000e+00 2.0000000e+00 6.0000000e+00 2.0000000e+00 3.0000000e+00 4.0000000e+00 4.0000000e+00 4.0000000e+00 9.0000000e+00 8.0000000e+00 6.0000000e+00 3.0000000e+00 5.0000000e+00 5.0000000e+00 6.0000000e+00 4.0000000e+00 2.0000000e+00 3.0000000e+00 9.0000000e+00 6.0000000e+00 6.0000000e+00 3.0000000e+00 4.0000000e+00 5.0000000e+00 5.0000000e+00 4.0000000e+00 5.0000000e+00 4.0000000e+00 5.0000000e+00 5.0000000e+00 7.0000000e+00 4.0000000e+00 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1.3000000e+01 7.0000000e+00 1.5000000e+01 1.5000000e+01 1.7000000e+01 1.5000000e+01 6.0000000e+00 1.3000000e+01 2.6000000e+01 2.1000000e+01 1.7000000e+01 1.6000000e+01 5.0000000e+00 2.4000000e+01 2.0000000e+00 1.7000000e+01 1.7000000e+01 1.3000000e+01 6.0000000e+00 2.4000000e+01 2.3000000e+01 7.0000000e+00 2.3000000e+01 2.4000000e+01 9.0000000e+00 1.8000000e+01 2.5000000e+01 1.6000000e+01 8.0000000e+00 3.0000000e+00 2.6000000e+01 1.5000000e+01 1.2000000e+01 1.7000000e+01 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks.names new file mode 100644 index 00000000..bee644b0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks.names @@ -0,0 +1,78 @@ + +1. Title: The Monk's Problems + +2. Sources: + (a) Donor: Sebastian Thrun + School of Computer Science + Carnegie Mellon University + Pittsburgh, PA 15213, USA + + E-mail: thrun@cs.cmu.edu + + (b) Date: October 1992 + +3. Past Usage: + + - See File: thrun.comparison.ps.Z + + - Wnek, J., "Hypothesis-driven Constructive Induction," PhD dissertation, + School of Information Technology and Engineering, Reports of Machine + Learning and Inference Laboratory, MLI 93-2, Center for Artificial + Intelligence, George Mason University, March 1993. + + - Wnek, J. and Michalski, R.S., "Comparing Symbolic and + Subsymbolic Learning: Three Studies," in Machine Learning: A + Multistrategy Approach, Vol. 4., R.S. Michalski and G. Tecuci (Eds.), + Morgan Kaufmann, San Mateo, CA, 1993. + +4. Relevant Information: + + The MONK's problem were the basis of a first international comparison + of learning algorithms. The result of this comparison is summarized in + "The MONK's Problems - A Performance Comparison of Different Learning + algorithms" by S.B. Thrun, J. Bala, E. Bloedorn, I. Bratko, B. + Cestnik, J. Cheng, K. De Jong, S. Dzeroski, S.E. Fahlman, D. Fisher, + R. Hamann, K. Kaufman, S. Keller, I. Kononenko, J. Kreuziger, R.S. + Michalski, T. Mitchell, P. Pachowicz, Y. Reich H. Vafaie, W. Van de + Welde, W. Wenzel, J. Wnek, and J. Zhang has been published as + Technical Report CS-CMU-91-197, Carnegie Mellon University in Dec. + 1991. + + One significant characteristic of this comparison is that it was + performed by a collection of researchers, each of whom was an advocate + of the technique they tested (often they were the creators of the + various methods). In this sense, the results are less biased than in + comparisons performed by a single person advocating a specific + learning method, and more accurately reflect the generalization + behavior of the learning techniques as applied by knowledgeable users. + + There are three MONK's problems. The domains for all MONK's problems + are the same (described below). One of the MONK's problems has noise + added. For each problem, the domain has been partitioned into a train + and test set. + +5. Number of Instances: 432 + +6. Number of Attributes: 8 (including class attribute) + +7. Attribute information: + 1. class: 0, 1 + 2. a1: 1, 2, 3 + 3. a2: 1, 2, 3 + 4. a3: 1, 2 + 5. a4: 1, 2, 3 + 6. a5: 1, 2, 3, 4 + 7. a6: 1, 2 + 8. Id: (A unique symbol for each instance) + +8. Missing Attribute Values: None + +9. Target Concepts associated to the MONK's problem: + + MONK-1: (a1 = a2) or (a5 = 1) + + MONK-2: EXACTLY TWO of {a1 = 1, a2 = 1, a3 = 1, a4 = 1, a5 = 1, a6 = 1} + + MONK-3: (a5 = 3 and a4 = 1) or (a5 /= 4 and a2 /= 3) + (5% class noise added to the training set) + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1.dat new file mode 100644 index 00000000..9f31e51e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1.dat @@ -0,0 +1,124 @@ + 1 1 1 1 1 3 1 + 1 1 1 1 1 3 2 + 1 1 1 1 3 2 1 + 1 1 1 1 3 3 2 + 1 1 1 2 1 2 1 + 1 1 1 2 1 2 2 + 1 1 1 2 2 3 1 + 1 1 1 2 2 4 1 + 1 1 1 2 3 1 2 + 1 1 2 1 1 1 2 + 0 1 2 1 1 2 1 + 0 1 2 1 1 3 1 + 0 1 2 1 1 4 2 + 1 1 2 1 2 1 1 + 0 1 2 1 2 3 1 + 0 1 2 1 2 3 2 + 0 1 2 1 2 4 2 + 0 1 2 1 3 2 1 + 0 1 2 1 3 4 2 + 0 1 2 2 1 2 2 + 0 1 2 2 2 3 2 + 0 1 2 2 2 4 1 + 0 1 2 2 2 4 2 + 0 1 2 2 3 2 2 + 0 1 2 2 3 3 1 + 0 1 2 2 3 3 2 + 0 1 3 1 1 2 1 + 0 1 3 1 1 4 1 + 0 1 3 1 2 2 1 + 0 1 3 1 2 4 1 + 1 1 3 1 3 1 2 + 0 1 3 1 3 2 2 + 0 1 3 1 3 3 1 + 0 1 3 1 3 4 1 + 0 1 3 1 3 4 2 + 0 1 3 2 1 2 2 + 1 1 3 2 2 1 2 + 0 1 3 2 2 2 2 + 0 1 3 2 2 3 2 + 0 1 3 2 2 4 1 + 0 1 3 2 2 4 2 + 1 1 3 2 3 1 1 + 0 1 3 2 3 2 1 + 0 1 3 2 3 4 1 + 0 1 3 2 3 4 2 + 0 2 1 1 1 3 1 + 0 2 1 1 1 3 2 + 1 2 1 1 2 1 1 + 1 2 1 1 2 1 2 + 0 2 1 1 2 2 2 + 0 2 1 1 2 3 1 + 0 2 1 1 2 4 1 + 0 2 1 1 2 4 2 + 0 2 1 1 3 4 1 + 0 2 1 2 1 2 2 + 0 2 1 2 1 3 1 + 0 2 1 2 1 4 2 + 0 2 1 2 2 3 1 + 0 2 1 2 2 4 2 + 0 2 1 2 3 2 2 + 0 2 1 2 3 4 1 + 1 2 2 1 1 2 1 + 1 2 2 1 1 2 2 + 1 2 2 1 1 3 1 + 1 2 2 1 2 3 2 + 1 2 2 1 3 1 1 + 1 2 2 1 3 1 2 + 1 2 2 1 3 2 2 + 1 2 2 1 3 3 2 + 1 2 2 1 3 4 2 + 1 2 2 2 1 1 1 + 1 2 2 2 1 3 2 + 1 2 2 2 1 4 1 + 1 2 2 2 1 4 2 + 1 2 2 2 2 2 1 + 1 2 2 2 3 4 1 + 1 2 3 1 1 1 1 + 1 2 3 1 2 1 1 + 0 2 3 1 2 3 1 + 1 2 3 1 3 1 2 + 0 2 3 1 3 3 1 + 0 2 3 1 3 4 2 + 0 2 3 2 1 3 2 + 1 2 3 2 2 1 1 + 1 2 3 2 2 1 2 + 0 2 3 2 2 2 1 + 0 2 3 2 3 3 2 + 1 3 1 1 1 1 1 + 1 3 1 1 1 1 2 + 1 3 1 1 2 1 1 + 0 3 1 1 2 2 2 + 0 3 1 1 3 2 2 + 1 3 1 2 1 1 1 + 0 3 1 2 1 2 2 + 0 3 1 2 2 2 2 + 0 3 1 2 2 3 2 + 0 3 1 2 3 2 2 + 1 3 2 1 1 1 1 + 0 3 2 1 1 4 2 + 1 3 2 1 2 1 2 + 0 3 2 1 2 4 2 + 1 3 2 2 1 1 1 + 1 3 2 2 1 1 2 + 0 3 2 2 1 3 2 + 1 3 2 2 3 1 1 + 0 3 2 2 3 2 1 + 0 3 2 2 3 4 1 + 1 3 3 1 1 1 1 + 1 3 3 1 1 2 1 + 1 3 3 1 1 4 2 + 1 3 3 1 2 3 2 + 1 3 3 1 2 4 2 + 1 3 3 1 3 1 2 + 1 3 3 1 3 2 1 + 1 3 3 1 3 2 2 + 1 3 3 1 3 4 2 + 1 3 3 2 1 1 1 + 1 3 3 2 1 3 2 + 1 3 3 2 1 4 1 + 1 3 3 2 1 4 2 + 1 3 3 2 3 1 2 + 1 3 3 2 3 2 2 + 1 3 3 2 3 3 2 + 1 3 3 2 3 4 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1D.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1D.m new file mode 100644 index 00000000..4dd2f047 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks1D.m @@ -0,0 +1,21 @@ +load -ascii monks_A1 +load -ascii monks_T + +[N, m] = size(monks_T); + +class = 1 + +app = monks_A1;size(app) + +test = monks_T;size(test) + +Napp = size(app,2); +Ntest = size(test,2); + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(monks_T'); +clear monks_A1 monks_T + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2.dat new file mode 100644 index 00000000..b15834e9 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2.dat @@ -0,0 +1,169 @@ + 0 1 1 1 1 2 2 + 0 1 1 1 1 4 1 + 0 1 1 1 2 1 1 + 0 1 1 1 2 1 2 + 0 1 1 1 2 2 1 + 0 1 1 1 2 3 1 + 0 1 1 1 2 4 1 + 0 1 1 1 3 2 1 + 0 1 1 1 3 4 1 + 0 1 1 2 1 1 1 + 0 1 1 2 1 1 2 + 0 1 1 2 2 3 1 + 0 1 1 2 2 4 1 + 1 1 1 2 2 4 2 + 0 1 1 2 3 1 2 + 1 1 1 2 3 2 2 + 0 1 2 1 1 1 2 + 0 1 2 1 2 1 2 + 1 1 2 1 2 2 2 + 0 1 2 1 2 3 1 + 1 1 2 1 2 3 2 + 0 1 2 1 2 4 1 + 0 1 2 1 3 1 1 + 0 1 2 1 3 1 2 + 1 1 2 1 3 2 2 + 0 1 2 1 3 3 1 + 1 1 2 1 3 3 2 + 0 1 2 1 3 4 1 + 1 1 2 1 3 4 2 + 0 1 2 2 1 2 1 + 0 1 2 2 1 4 1 + 1 1 2 2 2 3 1 + 1 1 2 2 2 4 1 + 0 1 2 2 3 1 1 + 1 1 2 2 3 1 2 + 1 1 2 2 3 3 1 + 0 1 2 2 3 3 2 + 1 1 2 2 3 4 1 + 0 1 2 2 3 4 2 + 0 1 3 1 1 1 2 + 0 1 3 1 1 2 2 + 0 1 3 1 1 3 1 + 0 1 3 1 1 3 2 + 0 1 3 1 2 2 1 + 1 1 3 1 2 2 2 + 1 1 3 1 2 3 2 + 0 1 3 1 2 4 1 + 1 1 3 1 3 2 2 + 0 1 3 1 3 3 1 + 1 1 3 1 3 4 2 + 0 1 3 2 1 3 1 + 1 1 3 2 1 3 2 + 0 1 3 2 1 4 1 + 1 1 3 2 2 1 2 + 0 1 3 2 2 3 2 + 0 1 3 2 2 4 2 + 1 1 3 2 3 2 1 + 0 2 1 1 1 1 1 + 0 2 1 1 1 2 2 + 0 2 1 1 1 3 1 + 1 2 1 1 2 2 2 + 0 2 1 1 3 1 2 + 1 2 1 1 3 2 2 + 1 2 1 1 3 3 2 + 0 2 1 1 3 4 1 + 0 2 1 2 1 1 1 + 1 2 1 2 1 2 2 + 0 2 1 2 1 4 1 + 1 2 1 2 2 2 1 + 0 2 1 2 2 4 2 + 0 2 1 2 3 1 1 + 1 2 1 2 3 1 2 + 0 2 1 2 3 2 2 + 0 2 1 2 3 3 2 + 0 2 1 2 3 4 2 + 0 2 2 1 1 3 1 + 1 2 2 1 1 4 2 + 0 2 2 1 2 1 1 + 1 2 2 1 2 3 1 + 1 2 2 1 3 3 1 + 0 2 2 1 3 3 2 + 1 2 2 1 3 4 1 + 0 2 2 2 1 1 1 + 0 2 2 2 1 2 2 + 0 2 2 2 1 3 2 + 1 2 2 2 1 4 1 + 0 2 2 2 1 4 2 + 1 2 2 2 2 1 1 + 0 2 2 2 2 2 2 + 0 2 2 2 2 3 1 + 1 2 2 2 3 1 1 + 0 2 2 2 3 2 1 + 0 2 2 2 3 2 2 + 0 2 2 2 3 4 2 + 0 2 3 1 1 1 1 + 0 2 3 1 1 1 2 + 1 2 3 1 1 3 2 + 0 2 3 1 2 1 1 + 1 2 3 1 2 3 1 + 0 2 3 1 2 3 2 + 0 2 3 1 2 4 2 + 1 2 3 1 3 1 2 + 1 2 3 1 3 2 1 + 1 2 3 1 3 4 1 + 1 2 3 2 1 1 2 + 1 2 3 2 1 2 1 + 1 2 3 2 1 3 1 + 0 2 3 2 1 4 2 + 1 2 3 2 2 1 1 + 0 2 3 2 2 2 1 + 0 2 3 2 2 3 2 + 0 2 3 2 3 3 1 + 0 2 3 2 3 3 2 + 0 2 3 2 3 4 2 + 0 3 1 1 1 4 1 + 0 3 1 1 2 1 2 + 1 3 1 1 2 2 2 + 1 3 1 1 2 3 2 + 0 3 1 1 2 4 1 + 1 3 1 1 2 4 2 + 0 3 1 1 3 1 1 + 0 3 1 1 3 1 2 + 1 3 1 1 3 2 2 + 1 3 1 1 3 3 2 + 0 3 1 2 1 1 1 + 1 3 1 2 1 2 2 + 0 3 1 2 1 3 1 + 1 3 1 2 1 3 2 + 0 3 1 2 1 4 1 + 1 3 1 2 1 4 2 + 1 3 1 2 2 2 1 + 1 3 1 2 3 1 2 + 1 3 1 2 3 2 1 + 0 3 1 2 3 2 2 + 0 3 1 2 3 4 2 + 0 3 2 1 1 1 2 + 1 3 2 1 1 2 2 + 0 3 2 1 1 3 1 + 1 3 2 1 1 3 2 + 1 3 2 1 2 1 2 + 1 3 2 1 2 2 1 + 0 3 2 1 3 1 1 + 1 3 2 1 3 2 1 + 1 3 2 1 3 3 1 + 0 3 2 1 3 3 2 + 0 3 2 2 1 1 1 + 0 3 2 2 1 2 2 + 1 3 2 2 1 3 1 + 0 3 2 2 1 3 2 + 1 3 2 2 2 1 1 + 0 3 2 2 2 2 1 + 0 3 2 2 2 2 2 + 0 3 2 2 2 3 2 + 1 3 2 2 3 1 1 + 0 3 2 2 3 3 2 + 0 3 2 2 3 4 2 + 0 3 3 1 1 1 1 + 0 3 3 1 1 2 1 + 0 3 3 1 1 3 1 + 1 3 3 1 1 3 2 + 0 3 3 1 2 3 2 + 0 3 3 2 1 1 1 + 1 3 3 2 2 1 1 + 0 3 3 2 2 2 1 + 0 3 3 2 2 3 1 + 0 3 3 2 2 3 2 + 1 3 3 2 3 1 1 + 0 3 3 2 3 2 1 + 0 3 3 2 3 4 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2D.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2D.m new file mode 100644 index 00000000..7322a4de --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks2D.m @@ -0,0 +1,21 @@ +load -ascii monks_A2 +load -ascii monks_T + +[N, m] = size(monks_T); + +class = 1 + +app = monks_A2;size(app) + +test = monks_T;size(test) + +Napp = size(app,2); +Ntest = size(test,2); + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(monks_T'); +clear monks_A2 monks_T + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3.dat new file mode 100644 index 00000000..9e1bc1f7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3.dat @@ -0,0 +1,122 @@ + 1 1 1 1 1 1 2 + 1 1 1 1 1 2 1 + 1 1 1 1 1 2 2 + 0 1 1 1 1 3 1 + 0 1 1 1 1 4 1 + 1 1 1 1 2 1 1 + 1 1 1 1 2 2 2 + 0 1 1 1 2 4 2 + 1 1 1 2 1 2 2 + 0 1 1 2 1 4 2 + 1 1 1 2 2 2 2 + 0 1 1 2 2 4 1 + 0 1 1 2 2 4 2 + 1 1 1 2 3 1 1 + 1 1 1 2 3 1 2 + 1 1 1 2 3 3 1 + 1 1 1 2 3 3 2 + 1 1 2 1 1 3 1 + 1 1 2 1 2 2 1 + 1 1 2 1 2 2 2 + 0 1 2 1 2 3 1 + 1 1 2 1 3 1 1 + 1 1 2 1 3 1 2 + 1 1 2 1 3 2 1 + 1 1 2 1 3 2 2 + 1 1 2 1 3 3 2 + 0 1 2 1 3 4 1 + 1 1 2 2 1 3 1 + 0 1 2 2 1 4 2 + 1 1 2 2 2 1 1 + 1 1 2 2 2 2 1 + 1 1 2 2 2 2 2 + 1 1 2 2 3 1 1 + 1 1 2 2 3 2 1 + 1 1 2 2 3 2 2 + 0 1 3 1 1 2 1 + 0 1 3 1 1 4 1 + 0 1 3 1 2 3 2 + 0 1 3 1 2 4 1 + 0 1 3 1 3 1 1 + 0 1 3 1 3 3 1 + 0 1 3 2 1 1 1 + 0 1 3 2 1 1 2 + 0 1 3 2 1 2 1 + 0 1 3 2 1 4 2 + 0 1 3 2 2 3 2 + 0 1 3 2 2 4 2 + 0 1 3 2 3 4 1 + 1 2 1 1 1 1 1 + 1 2 1 1 1 1 2 + 0 2 1 1 1 4 1 + 0 2 1 1 1 4 2 + 1 2 1 1 2 1 1 + 1 2 1 1 2 1 2 + 1 2 1 1 3 2 2 + 1 2 1 1 3 3 2 + 0 2 1 1 3 4 1 + 1 2 1 2 1 2 2 + 0 2 1 2 2 4 1 + 1 2 1 2 3 1 2 + 1 2 2 1 1 3 2 + 0 2 2 1 1 4 2 + 1 2 2 1 2 1 2 + 0 2 2 1 2 2 1 + 1 2 2 1 3 1 1 + 1 2 2 1 3 2 2 + 0 2 2 1 3 3 1 + 0 2 2 1 3 3 2 + 0 2 2 1 3 4 2 + 1 2 2 2 1 2 2 + 1 2 2 2 2 1 2 + 1 2 2 2 2 3 1 + 1 2 2 2 2 3 2 + 0 2 2 2 3 4 1 + 1 2 3 1 1 3 1 + 0 2 3 1 2 1 1 + 0 2 3 1 2 2 1 + 0 2 3 1 2 2 2 + 0 2 3 1 2 3 2 + 0 2 3 1 3 3 1 + 0 2 3 2 1 1 2 + 0 2 3 2 1 2 2 + 0 2 3 2 1 4 1 + 0 2 3 2 2 3 1 + 0 2 3 2 2 4 2 + 0 2 3 2 3 1 1 + 0 2 3 2 3 2 1 + 0 2 3 2 3 4 2 + 1 3 1 1 1 1 1 + 1 3 1 1 1 2 1 + 1 3 1 1 1 3 1 + 0 3 1 1 2 4 2 + 1 3 1 1 3 1 2 + 0 3 1 1 3 4 2 + 1 3 1 2 1 2 1 + 1 3 1 2 2 3 2 + 0 3 1 2 2 4 2 + 1 3 1 2 3 1 1 + 1 3 2 1 1 2 2 + 0 3 2 1 1 4 1 + 1 3 2 1 2 3 1 + 1 3 2 1 3 1 2 + 1 3 2 2 1 2 2 + 1 3 2 2 1 3 2 + 1 3 2 2 2 1 2 + 1 3 2 2 3 1 1 + 1 3 2 2 3 3 2 + 0 3 2 2 3 4 1 + 1 3 3 1 1 3 2 + 1 3 3 1 1 4 1 + 0 3 3 1 2 4 2 + 0 3 3 1 3 1 1 + 0 3 3 1 3 2 1 + 0 3 3 1 3 2 2 + 0 3 3 1 3 4 1 + 0 3 3 2 1 1 1 + 0 3 3 2 1 1 2 + 0 3 3 2 2 2 2 + 0 3 3 2 2 3 2 + 0 3 3 2 3 1 1 + 0 3 3 2 3 3 2 + 0 3 3 2 3 4 2 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3D.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3D.m new file mode 100644 index 00000000..bc6c4b55 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks3D.m @@ -0,0 +1,20 @@ +load -ascii monks_A3 +load -ascii monks_T + +[N, m] = size(monks_T); + +class = 1 + +app = monks_A3;size(app) +test = monks_T;size(test) + +Napp = size(app,2); +Ntest = size(test,2); + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(monks_T'); +clear monks_A3 monks_T + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks_A1 b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks_A1 new file mode 100644 index 00000000..2d84efa4 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/monks_A1 @@ -0,0 +1,7 @@ + 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 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14 1 3 2 15 5 -9999 19 19 15 15 16 14 15 16 2 22 12 +16 11 25 5 6 25 6 3 14 2 20 -9999 11 11 16 16 16 23 15 5 23 22 4 +16 6 25 3 6 13 1 3 2 25 5 3 11 25 3 3 16 23 14 14 23 3 4 +5 24 19 14 6 14 1 3 2 25 5 -9999 19 19 15 15 16 15 15 16 15 22 12 +16 11 25 14 6 19 6 3 14 2 20 -9999 19 11 16 23 16 23 15 5 23 22 12 +16 11 19 5 6 25 6 3 14 2 20 -9999 11 19 16 23 16 23 15 5 23 22 4 +16 11 25 14 6 6 6 3 14 2 20 -9999 11 19 16 23 16 23 15 5 23 22 4 +5 11 19 14 6 14 1 3 2 25 5 -9999 19 19 15 15 16 15 15 16 2 3 12 +5 24 19 14 6 14 1 3 2 25 5 -9999 19 19 15 15 16 14 15 16 2 22 12 +5 6 19 14 6 14 1 3 2 14 5 -9999 19 19 15 15 16 15 15 16 2 3 12 +16 11 25 14 6 25 6 3 14 2 20 -9999 19 11 23 23 16 23 15 5 23 22 12 +5 24 19 14 6 14 1 3 2 25 5 -9999 19 19 15 15 16 15 15 16 15 3 12 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/mushroomsL.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/mushroomsL.m new file mode 100644 index 00000000..87dad5e0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/mushroomsL.m @@ -0,0 +1,34 @@ +load -ascii mushrooms.dat +mushroomsD=mushrooms'; +clear mushrooms + +[N, m] = size(mushroomsD); +class = 1 + +%rand('state',0); randn('state',0); +%abalone = abalone(:,randperm(m)); + +for node = 1:N + UNI=setdiff(unique(mushroomsD(node,:)),-9999); + for val = 1:length(UNI) + [I,J]=find(mushroomsD(node,:)==UNI(val)); + mushroomsD(node,J)=val; + end +end + +ns = max(mushroomsD'); +seul=find(ns==1); +mushroomsD=mushroomsD(setdiff(1:N,seul),:); +[N, m] = size(mushroomsD) +ns = max(mushroomsD') + +Napp = ceil(m*2/3); +Ntest = m-Napp + +app = mushroomsD(:,1:Napp);size(app) +test = mushroomsD(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +clear mushroomsD seul UNI node I J diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery new file mode 100644 index 00000000..6da1d386 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery @@ -0,0 +1,9 @@ + 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 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1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 2.0000000e+00 1.0000000e+00 5.0000000e+00 2.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 5.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery.names new file mode 100644 index 00000000..09b489f8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nursery.names @@ -0,0 +1,101 @@ +1. Title: Nursery Database + +2. Sources: + (a) Creator: Vladislav Rajkovic et al. (13 experts) + (b) Donors: Marko Bohanec (marko.bohanec@ijs.si) + Blaz Zupan (blaz.zupan@ijs.si) + (c) Date: June, 1997 + +3. Past Usage: + + The hierarchical decision model, from which this dataset is + derived, was first presented in + + M. Olave, V. Rajkovic, M. Bohanec: An application for admission in + public school systems. In (I. Th. M. Snellen and W. B. H. J. van de + Donk and J.-P. Baquiast, editors) Expert Systems in Public + Administration, pages 145-160. Elsevier Science Publishers (North + Holland)}, 1989. + + Within machine-learning, this dataset was used for the evaluation + of HINT (Hierarchy INduction Tool), which was proved to be able to + completely reconstruct the original hierarchical model. This, + together with a comparison with C4.5, is presented in + + B. Zupan, M. Bohanec, I. Bratko, J. Demsar: Machine learning by + function decomposition. ICML-97, Nashville, TN. 1997 (to appear) + +4. Relevant Information Paragraph: + + Nursery Database was derived from a hierarchical decision model + originally developed to rank applications for nursery schools. It + was used during several years in 1980's when there was excessive + enrollment to these schools in Ljubljana, Slovenia, and the + rejected applications frequently needed an objective + explanation. The final decision depended on three subproblems: + occupation of parents and child's nursery, family structure and + financial standing, and social and health picture of the family. + The model was developed within expert system shell for decision + making DEX (M. Bohanec, V. Rajkovic: Expert system for decision + making. Sistemica 1(1), pp. 145-157, 1990.). + + The hierarchical model ranks nursery-school applications according + to the following concept structure: + + NURSERY Evaluation of applications for nursery schools + . EMPLOY Employment of parents and child's nursery + . . parents Parents' occupation + . . has_nurs Child's nursery + . STRUCT_FINAN Family structure and financial standings + . . STRUCTURE Family structure + . . . form Form of the family + . . . children Number of children + . . housing Housing conditions + . . finance Financial standing of the family + . SOC_HEALTH Social and health picture of the family + . . social Social conditions + . . health Health conditions + + Input attributes are printed in lowercase. Besides the target + concept (NURSERY) the model includes four intermediate concepts: + EMPLOY, STRUCT_FINAN, STRUCTURE, SOC_HEALTH. Every concept is in + the original model related to its lower level descendants by a set + of examples (for these examples sets see + http://www-ai.ijs.si/BlazZupan/nursery.html). + + The Nursery Database contains examples with the structural + information removed, i.e., directly relates NURSERY to the eight input + attributes: parents, has_nurs, form, children, housing, finance, + social, health. + + Because of known underlying concept structure, this database may be + particularly useful for testing constructive induction and + structure discovery methods. + +5. Number of Instances: 12960 + (instances completely cover the attribute space) + +6. Number of Attributes: 8 + +7. Attribute Values: + + parents usual, pretentious, great_pret + has_nurs proper, less_proper, improper, critical, very_crit + form complete, completed, incomplete, foster + children 1, 2, 3, more + housing convenient, less_conv, critical + finance convenient, inconv + social non-prob, slightly_prob, problematic + health recommended, priority, not_recom + +8. Missing Attribute Values: none + +9. Class Distribution (number of instances per class) + + class N N[%] + ------------------------------ + not_recom 4320 (33.333 %) + recommend 2 ( 0.015 %) + very_recom 328 ( 2.531 %) + priority 4266 (32.917 %) + spec_prior 4044 (31.204 %) diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nurseryD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nurseryD.m new file mode 100644 index 00000000..c1307509 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/nurseryD.m @@ -0,0 +1,22 @@ +load -ascii nursery + +[N, m] = size(nursery); + +class = N + +rand('state',0); randn('state',0); +nursery = nursery(:,randperm(m)); + +Napp = 8500 +Ntest = m-Napp + +app = nursery(:,1:Napp);size(app) +test = nursery(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(nursery') +clear nursery + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/penD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/penD.m new file mode 100644 index 00000000..a99dda71 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/penD.m @@ -0,0 +1,22 @@ +load -ascii pen_A +load -ascii pen_T + +[N, m] = size(pen_A); + +class = N + +app = pen_A;size(app) +test = pen_T;size(test) + +Napp = size(app,2); +Ntest = size(test,2); + +unique(app(class,:)) +unique(test(class,:)) + +ns1 = max(pen_A'); +ns2 = max(pen_T'); +ns = max(ns1, ns2) +clear pen_A pen_T ns1 ns2 + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pen_A b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pen_A new file mode 100644 index 00000000..dde4d8bc --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pen_A @@ -0,0 +1,17 @@ + 5.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+01 1.0000000e+00 1.0000000e+00 2.0000000e+00 6.0000000e+00 8.0000000e+00 5.0000000e+00 1.0000000e+01 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a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pendigits.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pendigits.names new file mode 100644 index 00000000..2d8a87f7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/pendigits.names @@ -0,0 +1,136 @@ +1. Title of Database: Pen-Based Recognition of Handwritten Digits + +2. Source: + E. Alpaydin, Fevzi. Alimoglu + Department of Computer Engineering + Bogazici University, 80815 Istanbul Turkey + alpaydin@boun.edu.tr + July 1998 + +3. Past Usage: + F. Alimoglu (1996) Combining Multiple Classifiers for Pen-Based + Handwritten Digit Recognition, + MSc Thesis, Institute of Graduate Studies in Science and + Engineering, Bogazici University. + http://www.cmpe.boun.edu.tr/~alimoglu/alimoglu.ps.gz + + F. Alimoglu, E. Alpaydin, "Methods of Combining Multiple Classifiers + Based on Different Representations for Pen-based Handwriting + Recognition," Proceedings of the Fifth Turkish Artificial + Intelligence and Artificial Neural Networks Symposium (TAINN 96), + June 1996, Istanbul, Turkey. + http://www.cmpe.boun.edu.tr/~alimoglu/tainn96.ps.gz + + +4. Relevant Information: + + We create a digit database by collecting 250 samples from 44 writers. + The samples written by 30 writers are used for training, + cross-validation and writer dependent testing, and the digits + written by the other 14 are used for writer independent testing. This + database is also available in the UNIPEN format. + + We use a WACOM PL-100V pressure sensitive tablet with an integrated + LCD display and a cordless stylus. The input and display areas are + located in the same place. Attached to the serial port of an Intel + 486 based PC, it allows us to collect handwriting samples. The tablet + sends $x$ and $y$ tablet coordinates and pressure level values of the + pen at fixed time intervals (sampling rate) of 100 miliseconds. + + These writers are asked to write 250 digits in random order inside + boxes of 500 by 500 tablet pixel resolution. Subject are monitored + only during the first entry screens. Each screen contains five boxes + with the digits to be written displayed above. Subjects are told to + write only inside these boxes. If they make a mistake or are unhappy + with their writing, they are instructed to clear the content of a box + by using an on-screen button. The first ten digits are ignored + because most writers are not familiar with this type of input devices, + but subjects are not aware of this. + + In our study, we use only ($x, y$) coordinate information. The stylus + pressure level values are ignored. First we apply normalization to + make our representation invariant to translations and scale + distortions. The raw data that we capture from the tablet consist of + integer values between 0 and 500 (tablet input box resolution). The + new coordinates are such that the coordinate which has the maximum + range varies between 0 and 100. Usually $x$ stays in this range, since + most characters are taller than they are wide. + + In order to train and test our classifiers, we need to represent + digits as constant length feature vectors. A commonly used technique + leading to good results is resampling the ( x_t, y_t) points. + Temporal resampling (points regularly spaced in time) or spatial + resampling (points regularly spaced in arc length) can be used here. + Raw point data are already regularly spaced in time but the distance + between them is variable. Previous research showed that spatial + resampling to obtain a constant number of regularly spaced points + on the trajectory yields much better performance, because it provides + a better alignment between points. Our resampling algorithm uses + simple linear interpolation between pairs of points. The resampled + digits are represented as a sequence of T points ( x_t, y_t )_{t=1}^T, + regularly spaced in arc length, as opposed to the input sequence, + which is regularly spaced in time. + + So, the input vector size is 2*T, two times the number of points + resampled. We considered spatial resampling to T=8,12,16 points in our + experiments and found that T=8 gave the best trade-off between + accuracy and complexity. + + +5. Number of Instances + pendigits.tra Training 7494 + pendigits.tes Testing 3498 + + The way we used the dataset was to use first half of training for + actual training, one-fourth for validation and one-fourth + for writer-dependent testing. The test set was used for + writer-independent testing and is the actual quality measure. + +6. Number of Attributes + 16 input+1 class attribute + +7. For Each Attribute: + All input attributes are integers in the range 0..100. + The last attribute is the class code 0..9 + +8. Missing Attribute Values + None + +9. Class Distribution + Class: No of examples in training set + 0: 780 + 1: 779 + 2: 780 + 3: 719 + 4: 780 + 5: 720 + 6: 720 + 7: 778 + 8: 719 + 9: 719 + Class: No of examples in testing set + 0: 363 + 1: 364 + 2: 364 + 3: 336 + 4: 364 + 5: 335 + 6: 336 + 7: 364 + 8: 336 + 9: 336 + +Accuracy on the testing set with k-nn +using Euclidean distance as the metric + + k = 1 : 97.74 + k = 2 : 97.37 + k = 3 : 97.80 + k = 4 : 97.66 + k = 5 : 97.60 + k = 6 : 97.57 + k = 7 : 97.54 + k = 8 : 97.54 + k = 9 : 97.46 + k = 10 : 97.48 + k = 11 : 97.34 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment new file mode 100644 index 00000000..9a01840b --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment @@ -0,0 +1,20 @@ + 2.6000000e+01 1.3000000e+01 2.4000000e+01 4.0000000e+00 9.0000000e+00 1.8000000e+01 2.4000000e+01 3.0000000e+00 1.0000000e+00 9.0000000e+00 1.8000000e+01 2.9000000e+01 1.5000000e+01 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5.0000000e+00 2.0000000e+00 4.0000000e+00 5.0000000e+00 7.0000000e+00 3.0000000e+00 3.0000000e+00 5.0000000e+00 5.0000000e+00 6.0000000e+00 5.0000000e+00 6.0000000e+00 4.0000000e+00 1.0000000e+00 6.0000000e+00 4.0000000e+00 3.0000000e+00 2.0000000e+00 1.0000000e+00 6.0000000e+00 4.0000000e+00 1.0000000e+00 2.0000000e+00 3.0000000e+00 3.0000000e+00 2.0000000e+00 3.0000000e+00 5.0000000e+00 5.0000000e+00 6.0000000e+00 6.0000000e+00 4.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 3.0000000e+00 1.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment.doc b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment.doc new file mode 100644 index 00000000..09b085ab --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segment.doc @@ -0,0 +1,68 @@ +Description of Datasets + + +1. Title: Image Segmentation data + +2. Source Information + -- Creators: Vision Group, University of Massachusetts + -- Donor: Vision Group (Carla Brodley, brodley@cs.umass.edu) + -- Date: November, 1990 + +3. Past Usage: None yet published + +4. Relevant Information: + + The instances were drawn randomly from a database of 7 outdoor + images. The images were handsegmented to create a classification + for every pixel. + + Each instance is a 3x3 region. + +5. Number of Instances: 2310 + +6. Number of Attributes: 19 continuous attributes + +7. Attribute Information: + + 1. region-centroid-col: the column of the center pixel of the region. + 2. region-centroid-row: the row of the center pixel of the region. + 3. region-pixel-count: the number of pixels in a region = 9. + 4. short-line-density-5: the results of a line extractoin algorithm that + counts how many lines of length 5 (any orientation) with + low contrast, less than or equal to 5, go through the region. + 5. short-line-density-2: same as short-line-density-5 but counts lines + of high contrast, greater than 5. + 6. vedge-mean: measure the contrast of horizontally + adjacent pixels in the region. There are 6, the mean and + standard deviation are given. This attribute is used as + a vertical edge detector. + 7. vegde-sd: (see 6) + 8. hedge-mean: measures the contrast of vertically adjacent + pixels. Used for horizontal line detection. + 9. hedge-sd: (see 8). + 10. intensity-mean: the average over the region of (R + G + B)/3 + 11. rawred-mean: the average over the region of the R value. + 12. rawblue-mean: the average over the region of the B value. + 13. rawgreen-mean: the average over the region of the G value. + 14. exred-mean: measure the excess red: (2R - (G + B)) + 15. exblue-mean: measure the excess blue: (2B - (G + R)) + 16. exgreen-mean: measure the excess green: (2G - (R + B)) + 17. value-mean: 3-d nonlinear transformation + of RGB. (Algorithm can be found in Foley and VanDam, Fundamentals + of Interactive Computer Graphics) + 18. saturatoin-mean: (see 17) + 19. hue-mean: (see 17) + +8. Missing Attribute Values: None + +9. Class Distribution: + + Classes: 1 = brickface, + 2 = sky, + 3 = foliage, + 4 = cement, + 5 = window, + 6 = path, + 7 = grass. + + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segmentD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segmentD.m new file mode 100644 index 00000000..50a9aeee --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/segmentD.m @@ -0,0 +1,22 @@ +load -ascii segment + +[N, m] = size(segment) + +class = N + +%rand('state',0); randn('state',0); +%segment = segment(:,randperm(m)); + +Napp = 1400 +Ntest = m-Napp + +app = segment(:,1:Napp);size(app) +test = segment(:,Napp+1:end);size(test) + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(segment') +clear segment + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/soybean.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/soybean.dat new file mode 100644 index 00000000..994a0118 --- /dev/null +++ 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Napp] = size(soybeanD); +[N, Ntest] = size(soybeanTD); + +N, m=Napp+Ntest, Napp, Ntest, +class = 1 + +%rand('state',0); randn('state',0); +%abalone = abalone(:,randperm(m)); + +app = soybeanD; +test = soybeanTD; + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(soybeanD') +clear soybeanD soybeanTD + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/soybean_test.dat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/soybean_test.dat new file mode 100644 index 00000000..21b57de1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/soybean_test.dat @@ -0,0 +1,376 @@ +1 6 0 2 1 0 1 0 1 0 2 1 1 0 2 2 0 0 0 1 0 3 1 1 1 0 0 0 0 4 0 0 0 0 0 0 +1 3 0 2 1 0 2 0 2 1 1 1 1 0 2 2 0 0 0 1 0 3 0 1 1 0 0 0 0 4 0 0 0 0 0 0 +1 4 0 2 1 0 3 0 2 0 2 1 1 0 2 2 0 0 0 1 0 3 1 1 1 0 0 0 0 4 0 0 0 0 0 0 +1 5 0 2 1 0 1 0 1 0 1 1 1 0 2 2 0 0 0 1 0 3 0 1 1 0 0 0 0 4 0 0 0 0 0 0 +1 3 0 2 1 0 3 0 1 0 1 1 1 0 2 2 0 0 0 1 0 3 0 1 1 0 0 0 0 4 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--git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/spect_t b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/spect_t new file mode 100644 index 00000000..c36128a5 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/spect_t @@ -0,0 +1,23 @@ + 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 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00000000..3a9f2fda --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/tae @@ -0,0 +1,6 @@ + 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 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new file mode 100644 index 00000000..435034ae --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/tae.names @@ -0,0 +1,39 @@ +1. Title: Teaching Assistant Evaluation + +2. Sources: + (a) Collector: Wei-Yin Loh (Department of Statistics, UW-Madison) + (b) Donor: Tjen-Sien Lim (limt@stat.wisc.edu) + (b) Date: June 7, 1997 + +3. Past Usage: + 1. Loh, W.-Y. & Shih, Y.-S. (1997). Split Selection Methods for + Classification Trees, Statistica Sinica 7: 815-840. + 2. Lim, T.-S., Loh, W.-Y. & Shih, Y.-S. (1999). A Comparison of + Prediction Accuracy, Complexity, and Training Time of + Thirty-three Old and New Classification Algorithms. Machine + Learning. Forthcoming. + (ftp://ftp.stat.wisc.edu/pub/loh/treeprogs/quest1.7/mach1317.pdf or + (http://www.stat.wisc.edu/~limt/mach1317.pdf) + +4. Relevant Information: + The data consist of evaluations of teaching performance over three + regular semesters and two summer semesters of 151 teaching assistant + (TA) assignments at the Statistics Department of the University of + Wisconsin-Madison. The scores were divided into 3 roughly equal-sized + categories ("low", "medium", and "high") to form the class variable. + +5. Number of Instances: 151 + +6. Number of Attributes: 6 (including the class attribute) + +7. Attribute Information: + + 1. Whether of not the TA is a native English speaker (binary) + 1=English speaker, 2=non-English speaker + 2. Course instructor (categorical, 25 categories) + 3. Course (categorical, 26 categories) + 4. Summer or regular semester (binary) 1=Summer, 2=Regular + 5. Class size (numerical) + 6. Class attribute (categorical) 1=Low, 2=Medium, 3=High + +8. Missing Attribute Values: None diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/taeD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/taeD.m new file mode 100644 index 00000000..63cde564 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/taeD.m @@ -0,0 +1,26 @@ +load -ascii tae + +[N, m] = size(tae) + +class = 6 + +%rand('state',0); randn('state',0); +%tae = tae(:,randperm(m)); + +Napp = 100 +Ntest = m-Napp + +app = tae(:,1:Napp);size(app) +test = tae(:,Napp+1:151);size(test) + +%unique(app(class,:)) +%unique(test(class,:)) + +%app=tae; +%test=tae; +%disp('test en apprentissage'); + +ns = max(tae') +clear tae + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroidL.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroidL.m new file mode 100644 index 00000000..8c78cc70 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroidL.m @@ -0,0 +1,21 @@ +load thyroid_app +load thyroid_test +thyroid_test=thyroid_test'; + +[N, Napp] = size(thyroid_app); +[N, Ntest] = size(thyroid_test); + +N, m=Napp+Ntest, Napp, Ntest, +class = 1 + +%rand('state',0); randn('state',0); +%abalone = abalone(:,randperm(m)); + +app = thyroid_app; +test = thyroid_test; + +unique(app(class,:)) +unique(test(class,:)) + +ns = max(thyroid_app') +clear thyroid_app thyroid_test diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_app.mat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_app.mat new file mode 100644 index 00000000..0228a6b2 Binary files /dev/null and b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_app.mat differ diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_test.mat b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_test.mat new file mode 100644 index 00000000..c8759674 Binary files /dev/null and b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/thyroid_test.mat differ diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine new file mode 100644 index 00000000..ccf262ac --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine @@ -0,0 +1,14 @@ + 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 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2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 3.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 3.0000000e+00 3.0000000e+00 2.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine.names new file mode 100644 index 00000000..d2831258 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wine.names @@ -0,0 +1,100 @@ +1. Title of Database: Wine recognition data + Updated Sept 21, 1998 by C.Blake : Added attribute information + +2. Sources: + (a) Forina, M. et al, PARVUS - An Extendible Package for Data + Exploration, Classification and Correlation. Institute of Pharmaceutical + and Food Analysis and Technologies, Via Brigata Salerno, + 16147 Genoa, Italy. + + (b) Stefan Aeberhard, email: stefan@coral.cs.jcu.edu.au + (c) July 1991 +3. Past Usage: + + (1) + S. Aeberhard, D. Coomans and O. de Vel, + Comparison of Classifiers in High Dimensional Settings, + Tech. Rep. no. 92-02, (1992), Dept. of Computer Science and Dept. of + Mathematics and Statistics, James Cook University of North Queensland. + (Also submitted to Technometrics). + + The data was used with many others for comparing various + classifiers. The classes are separable, though only RDA + has achieved 100% correct classification. + (RDA : 100%, QDA 99.4%, LDA 98.9%, 1NN 96.1% (z-transformed data)) + (All results using the leave-one-out technique) + + In a classification context, this is a well posed problem + with "well behaved" class structures. A good data set + for first testing of a new classifier, but not very + challenging. + + (2) + S. Aeberhard, D. Coomans and O. de Vel, + "THE CLASSIFICATION PERFORMANCE OF RDA" + Tech. Rep. no. 92-01, (1992), Dept. of Computer Science and Dept. of + Mathematics and Statistics, James Cook University of North Queensland. + (Also submitted to Journal of Chemometrics). + + Here, the data was used to illustrate the superior performance of + the use of a new appreciation function with RDA. + +4. Relevant Information: + + -- These data are the results of a chemical analysis of + wines grown in the same region in Italy but derived from three + different cultivars. + The analysis determined the quantities of 13 constituents + found in each of the three types of wines. + + -- I think that the initial data set had around 30 variables, but + for some reason I only have the 13 dimensional version. + I had a list of what the 30 or so variables were, but a.) + I lost it, and b.), I would not know which 13 variables + are included in the set. + + -- The attributes are (dontated by Riccardo Leardi, + riclea@anchem.unige.it ) + 1) Alcohol + 2) Malic acid + 3) Ash + 4) Alcalinity of ash + 5) Magnesium + 6) Total phenols + 7) Flavanoids + 8) Nonflavanoid phenols + 9) Proanthocyanins + 10)Color intensity + 11)Hue + 12)OD280/OD315 of diluted wines + 13)Proline + +5. Number of Instances + + class 1 59 + class 2 71 + class 3 48 + +6. Number of Attributes + + 13 + +7. For Each Attribute: + + All attributes are continuous + + No statistics available, but suggest to standardise + variables for certain uses (e.g. for us with classifiers + which are NOT scale invariant) + + NOTE: 1st attribute is class identifier (1-3) + +8. Missing Attribute Values: + + None + +9. Class Distribution: number of instances per class + + class 1 59 + class 2 71 + class 3 48 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wineD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wineD.m new file mode 100644 index 00000000..bbe2e392 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/wineD.m @@ -0,0 +1,26 @@ +load -ascii wine + +[N, m] = size(wine) + +class = 1 + +rand('state',0); randn('state',0); +wine = wine(:,randperm(m)); + +Napp = 80 +Ntest = m-Napp + +app = wine(:,1:Napp);size(app) +test = wine(:,Napp+1:151);size(test) + +%unique(app(class,:)) +%unique(test(class,:)) + +%app = wine; +%test = wine; +%disp('test en apprentissage'); + +ns = max(wine') +clear wine + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo new file mode 100644 index 00000000..3ee2e2bc --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo @@ -0,0 +1,17 @@ + 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 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4.0000000e+00 7.0000000e+00 7.0000000e+00 7.0000000e+00 2.0000000e+00 1.0000000e+00 4.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 1.0000000e+00 2.0000000e+00 6.0000000e+00 5.0000000e+00 5.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 6.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 4.0000000e+00 6.0000000e+00 6.0000000e+00 2.0000000e+00 6.0000000e+00 2.0000000e+00 1.0000000e+00 1.0000000e+00 7.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 6.0000000e+00 5.0000000e+00 7.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 2.0000000e+00 4.0000000e+00 4.0000000e+00 3.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 7.0000000e+00 4.0000000e+00 1.0000000e+00 1.0000000e+00 3.0000000e+00 7.0000000e+00 2.0000000e+00 2.0000000e+00 3.0000000e+00 7.0000000e+00 4.0000000e+00 2.0000000e+00 1.0000000e+00 7.0000000e+00 4.0000000e+00 2.0000000e+00 6.0000000e+00 5.0000000e+00 3.0000000e+00 3.0000000e+00 4.0000000e+00 1.0000000e+00 1.0000000e+00 2.0000000e+00 1.0000000e+00 6.0000000e+00 1.0000000e+00 7.0000000e+00 2.0000000e+00 diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo.names b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo.names new file mode 100644 index 00000000..27b2063e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zoo.names @@ -0,0 +1,68 @@ +1. Title: Zoo database + +2. Source Information + -- Creator: Richard Forsyth + -- Donor: Richard S. Forsyth + 8 Grosvenor Avenue + Mapperley Park + Nottingham NG3 5DX + 0602-621676 + -- Date: 5/15/1990 + +3. Past Usage: + -- None known other than what is shown in Forsyth's PC/BEAGLE User's Guide. + +4. Relevant Information: + -- A simple database containing 17 Boolean-valued attributes. The "type" + attribute appears to be the class attribute. Here is a breakdown of + which animals are in which type: (I find it unusual that there are + 2 instances of "frog" and one of "girl"!) + + Class# Set of animals: + ====== =============================================================== + 1 (41) aardvark, antelope, bear, boar, buffalo, calf, + cavy, cheetah, deer, dolphin, elephant, + fruitbat, giraffe, girl, goat, gorilla, hamster, + hare, leopard, lion, lynx, mink, mole, mongoose, + opossum, oryx, platypus, polecat, pony, + porpoise, puma, pussycat, raccoon, reindeer, + seal, sealion, squirrel, vampire, vole, wallaby,wolf + 2 (20) chicken, crow, dove, duck, flamingo, gull, hawk, + kiwi, lark, ostrich, parakeet, penguin, pheasant, + rhea, skimmer, skua, sparrow, swan, vulture, wren + 3 (5) pitviper, seasnake, slowworm, tortoise, tuatara + 4 (13) bass, carp, catfish, chub, dogfish, haddock, + herring, pike, piranha, seahorse, sole, stingray, tuna + 5 (4) frog, frog, newt, toad + 6 (8) flea, gnat, honeybee, housefly, ladybird, moth, termite, wasp + 7 (10) clam, crab, crayfish, lobster, octopus, + scorpion, seawasp, slug, starfish, worm + +5. Number of Instances: 101 + +6. Number of Attributes: 18 (animal name, 15 Boolean attributes, 2 numerics) + +7. Attribute Information: (name of attribute and type of value domain) + 1. animal name: Unique for each instance + 2. hair Boolean + 3. feathers Boolean + 4. eggs Boolean + 5. milk Boolean + 6. airborne Boolean + 7. aquatic Boolean + 8. predator Boolean + 9. toothed Boolean + 10. backbone Boolean + 11. breathes Boolean + 12. venomous Boolean + 13. fins Boolean + 14. legs Numeric (set of values: {0,2,4,5,6,8}) + 15. tail Boolean + 16. domestic Boolean + 17. catsize Boolean + 18. type Numeric (integer values in range [1,7]) + +8. Missing Attribute Values: None + +9. Class Distribution: Given above + diff --git a/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zooD.m b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zooD.m new file mode 100644 index 00000000..40c1962e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/UCI_DataSets/zooD.m @@ -0,0 +1,26 @@ +load -ascii zoo + +[N, m] = size(zoo) + +class = 17 + +rand('state',0); randn('state',0); +zoo = zoo(:,randperm(m)); + +Napp = 60 +Ntest = m-Napp + +app = zoo(:,1:Napp);size(app) +test = zoo(:,Napp+1:101);size(test) + +%unique(app(class,:)) +%unique(test(class,:)) + +%app = zoo; +%test = zoo; +%disp('Test en apprentissage'); + +ns = max(zoo') +clear zoo + +% N, ns(class), Napp, Ntest, mean(ns), diff --git a/sourcecodes/bnt-master/SLP/examples/test_MWSTEM.m b/sourcecodes/bnt-master/SLP/examples/test_MWSTEM.m new file mode 100644 index 00000000..cb4b4837 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_MWSTEM.m @@ -0,0 +1,154 @@ +% francois.olivier.c.h@gmail.com + +%ddd = datestr(now); +%ddd([12 15 18])='-' ; +%fnd=[ddd '.txt']; +%diary(fnd) + +%dbstop if error + +clear all; +close all; + + rand('state',sum(100*clock)) + + nbloopmax = 5; % number of loop max in MWST-EM + + +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +node = struct('visit', 1, ... + 'smoking', 2, ... + 'tuberculosis', 3, ... + 'bronchitis', 5, ... + 'lung', 4, ... + 'ou', 6, ... + 'Xray', 7, ... + 'dyspnoea', 8); + +adjacency = zeros(8); +adjacency([node.visit], node.tuberculosis) = 1; +adjacency([node.smoking], node.lung) = 1; +adjacency([node.lung node.tuberculosis], node.ou) = 1; +adjacency([node.ou], node.Xray) = 1; +adjacency([node.smoking], node.bronchitis) = 1; +adjacency([node.bronchitis node.ou], node.dyspnoea) = 1; +carre=ones(1,8); + + figure(1); [xx yy] = make_layout(adjacency); + yy=(yy-0.2)*.8/.6+.1; + xx=(xx-0.2833)*.8/.517+.1; + subplot(2,2,1), [xx yy]=draw_graph(adjacency,names,carre,xx,yy); %,carre); + title('ASIA net.'); + +fprintf('\n============================= Test MWST-EM\n'); + +n=8; +m=500; +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +asiab=cell2mat(data); +fprintf('Complete data have been created.'); + + DM = 0.1; + BD0 = asiab; + node_sizes = max(BD0'); + [N, m]=size(BD0); + rand('state',0); randn('state',0); + vide = rand(size(BD0))<(1-DM); + data=BD0.*vide; + data = mat_to_bnt(data,0); + +% N=4; +% dagO = diag(ones(N-1,1),1); dag0(1,3)=1; +% figure(1), subplot(4,4,1), title('theoritical'), draw_graph(dagO); +% +% node_sizes=2*ones(1,N); +discrete = ones(1,N); +% +% bnetO = mk_bnet(dagO, node_sizes); +% bnetO.CPD{1} = tabular_CPD(bnetO, 1, 'CPT',[0.2 0.8]); +% bnetO.CPD{2} = tabular_CPD(bnetO, 2, 'CPT',[0.4 0.7 0.6 0.3]); +% bnetO.CPD{3} = tabular_CPD(bnetO, 3); +% bnetO.CPD{4} = tabular_CPD(bnetO, 4, 'CPT', [0.5 0.8 0.5 0.2]); +% +% m = 1000; DM = 0.1; +% +% for l=1:m, dataO(:,l) = sample_bnet(bnetO); end +% rand('state',0); randn('state',0); +% vide = rand(size(dataO))<(1-DM); +% data = bnt_to_mat(dataO); +% data = data.*vide; +% data = mat_to_bnt(data,0); +% clear dataO; + +fprintf('Missing data percentage : %3.1f%%\n',100*DM); + +% engine0=jtree_sparse_inf_engine(bnetO); +% [bnet1, LL1, engine1] = learn_params_em(engine0, data); +% BIC0=0; +% for i=1:N, +% xxx=struct(bnet1.CPD{i}); +% BIC0=BIC0+bic_score_family(xxx.counts, xxx.CPT, xxx.nsamples); +% end +% fprintf('%5.2f\n',BIC0); + +%root = 1; +prior = 0; + tmp=cputime; + +[BT_J11, Sbest0] = learn_struct_mwst_EM(data, discrete, node_sizes, prior, nbloopmax); + tmp=cputime-tmp; + fprintf('\tMWST-EM algorithm spent %3.2f secondes\n',tmp); + +figure(1), subplot(2,2,2), draw_graph(BT_J11.dag,names,carre,xx,yy); %,carre); + title('MSWT-EM'); + + fprintf('\n============================= Test AM-SEM\n'); + + G0 = zeros(N,N); + B0 = mk_bnet(G0, node_sizes); + for i=1:N + B0.CPD{i} = tabular_CPD(B0, i, 'prior_type', 'dirichlet', 'dirichlet_weight', 0);%1, 'dirichlet_type','BDeu'); + end + + tmp=cputime; + max_loop = 10; + + [B0, order, best_score] = learn_struct_EM(B0, data, max_loop); + G1 = B0.dag; + [xxx oo]=sort(order); + dag=G1(oo,oo); + + tmp=cputime-tmp; + fprintf('\tSEM algorithm spent %3.2f secondes\n',tmp); + + + subplot(2,2,3), draw_graph(dag,names,carre,xx,yy); %,carre); + title('AMS-EM'); + + fprintf('\n============================= Test AM-SEM+T\n'); + + G0 = BT_J11.dag; + B0 = mk_bnet(G0, node_sizes); + for i=1:N + B0.CPD{i} = tabular_CPD(B0, i, 'prior_type', 'dirichlet', 'dirichlet_weight', 0);%1, 'dirichlet_type','BDeu'); + end + + tmp=cputime; + max_loop = 10; + + [B0, order, best_score] = learn_struct_EM(B0, data, max_loop); + G1 = B0.dag; + [xxx oo]=sort(order); + dag=G1(oo,oo); + + tmp=cputime-tmp; + fprintf('\tSEM+T algorithm spent %3.2f secondes\n',tmp); + + + subplot(2,2,4), draw_graph(dag,names,carre,xx,yy); %,carre); + title('AMS-EM+T'); + + +%diary off diff --git a/sourcecodes/bnt-master/SLP/examples/test_bnpc.m b/sourcecodes/bnt-master/SLP/examples/test_bnpc.m new file mode 100644 index 00000000..85a21db3 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_bnpc.m @@ -0,0 +1,51 @@ +close all +clear all + +N=5; +names={'A','B','C','D','E'}; +dag=zeros(N); +dag(1,2)=1; +dag(2,[3 4])=1; +dag([3 4],5)=1; +[xx yy] = draw_graph(dag,names,ones(N,1)); +title('Cheng example.'); + +node_sizes=2*ones(1,N); +bnet=mk_bnet(dag,node_sizes); + +if 1 + disp('Generating DataSet'); + bnet.CPD{1} = tabular_CPD(bnet, 1, [0.4 0.6]); + bnet.CPD{2} = tabular_CPD(bnet, 2, [0.2 0.3 0.8 0.7]); + bnet.CPD{3} = tabular_CPD(bnet, 3, [0.1 0.2 0.9 0.8]); + bnet.CPD{4} = tabular_CPD(bnet, 4, [0.6 0.8 0.4 0.2]); + bnet.CPD{5} = tabular_CPD(bnet, 5, [0.9 0.8 0.7 0.6 0.1 0.2 0.3 0.4]); + m=10000; + cheng = cell(N,m); + for i=1:m + cheng(:,i)=sample_bnet(bnet); + end + cheng = cell2num(cheng); + %save -ascii cheng cheng +else + load -ascii cheng.mat +end + +% profile clear +% profile on + [Phase_3, Phase_2, Phase_1, UPhase_3] = learn_struct_bnpc(cheng, node_sizes, 0.05, 0) +% profile off +% profile report report_cheng + +figure +draw_graph(Phase_1,names,ones(N,1),xx,yy); +title('PhaseI'); +figure +draw_graph(Phase_2,names,ones(N,1),xx,yy); +title('PhaseII'); +%figure +%draw_graph(UPhase_3,names,ones(N,1),xx,yy); +%title('undirected PhaseIII'); +figure +draw_graph(Phase_3,names,ones(N,1),xx,yy); +title('PhaseIII'); diff --git a/sourcecodes/bnt-master/SLP/examples/test_bnpc2.m b/sourcecodes/bnt-master/SLP/examples/test_bnpc2.m new file mode 100644 index 00000000..77d38334 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_bnpc2.m @@ -0,0 +1,44 @@ +% test BNPC +close all; +clear all; + +%test='pearson'; % Pearson's Chi2 +%test='LRT'; % Likelihood ratio test G2 +fprintf('\n=== Structure Learning with BN-PC (Power Constructor) algorithm\n'); + +n=8; +m=10000; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +names={ '1' , '2' , '3' , '4' , '5' , '6' , '7' , '8' }; +carre=ones(1,n); + +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data); +fprintf('Complete data have been created.'); + +tmp=cputime; +[Phase_3 Phase_2 Phase_1 U] = learn_struct_bnpc(data); +%,2*ones(1,n),0.05,1); +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + +figure; +[xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; +subplot(2,3,1), [xx yy]=draw_graph(bnet.dag,names,carre,xx,yy); %,carre); +title('ASIA original graph'); +subplot(2,3,2), draw_graph(Phase_1,names,carre,xx,yy); %,carre); +title('BNPC Phase 1'); +subplot(2,3,3), draw_graph(Phase_2,names,carre,xx,yy); %,carre); +title('BNPC Phase 2'); +subplot(2,3,4), draw_graph(U,names,carre,xx,yy); %,carre); +title('BNPC Phase 3a'); +subplot(2,3,5), draw_graph(Phase_3,names,carre,xx,yy); %,carre); +title('BNPC Phase 3b'); +subplot(2,3,6), draw_graph(pdag_to_dag(Phase_3),names,carre,xx,yy); %,carre); +title('BNPC DAG'); +drawnow; + diff --git a/sourcecodes/bnt-master/SLP/examples/test_cache.m b/sourcecodes/bnt-master/SLP/examples/test_cache.m new file mode 100644 index 00000000..ff8e84a1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_cache.m @@ -0,0 +1,177 @@ +% INITIALISATIONS +%%%%%%%%%%%%%%%%% + +clear +%load asia5000 + +N=8;L=100; +ns=2*ones(1,N); +%data=asiab(:,1:5000); +m=5000; + +bnet=mk_asia2_bnet; +data = cell(N,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data);asiab=data; +fprintf('Complete data have been created.'); + +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; + +scoring_fn='bic'; +%scoring_fn='bayesian'; + +% greedy search sur asia sans le cache +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +res=zeros(2,10);i=0; + +for L=100:100:500 +i=i+1;L + +tps=cputime; +D1=learn_struct_gs(data, ns, zeros(N,N),'scoring_fn',scoring_fn); +tps=cputime-tps +%subplot(1,4,2);draw_graph(D1,names,ones(1,N),xx,yy); + +% score BIC (ce sont des chiffres moyen sur ma machine pour environ 5 test par catégories, et idem pour les autres res) +% 100 exemples : 24s +% 500 exemples : 33s +% 1500 exemples : 49s +% 5000 exemples : 112s +% score Bayesien +% 100 exemples : 30 +% 1500 exemples : 39 +% 5000 exemples : 102 + +res(1,i)=tps; + +% greedy search sur asia avec le cache +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%cache=sparse(L,N+3); +cache=score_init_cache(N,L); + +% QD le cache est vide +tps2=cputime; +[D2 best2]=learn_struct_gs(data, ns, zeros(N,N),'scoring_fn',scoring_fn,'cache',cache); +tps2=cputime-tps2 + +res(2,i)=tps2; +end + +%subplot(1,4,3);draw_graph(D2,names,ones(1,N),xx,yy); +% L=100 +% score BIC +% 100 exemples : 28s +% taille du cache : 4860 octets pour 94 entrées au lieu de 8272 pour une matrice de taille 94*11. +% 1500 exemples : 45s +% 5000 exemples : 77s +% score Bayesien +% 100 exemples : 28 +% 1500 exemples : 35 +% 5000 exemples : 78 + +% QD le cache existe +%tps3=cputime; +%[D3 best3]=learn_struct_gs(data, ns, zeros(N,N),'scoring_fn',scoring_fn,'cache', cache2); +%tps3=cputime-tps3 +%subplot(1,4,4);draw_graph(D3,names,ones(1,N),xx,yy); +% L=100 +% score BIC +% 100 exemples : 37s qd le cache existe. +% 1500 exemples : 69s 62 +% 5000 exemples : 129s +% score Bayesien +% 100 exemples : 27 } +% 1500 exemples : 66 } -> phenomène du a une taille de cache trop petite +% 5000 exemples : 127 } ca se stabilise à partir de L=200 voir conclusion + + + +L=400; +cache=zeros(L,N+3); +tps0=zeros(2,20);i=0; +for taille=250:250:2000 +i=i+1;taille +cache=score_init_cache(N,L); +data=asiab(:,1:taille); +tps=cputime; +D=learn_struct_gs(data, ns, zeros(N,N),'scoring_fn',scoring_fn); +tps0(1,i)=cputime-tps; +tps=cputime; +[D best]=learn_struct_gs(data, ns, zeros(N,N),'scoring_fn',scoring_fn,'cache',cache); +tps0(2,i)=cputime-tps +end + +% taille BD : 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 +% ss cache : 24.1 24.7 29.8 51.1 31.1 36.8 38.0 30.3 48.7 44.6 47.9 46.2 46.9 51.6 50.3 50.3 56.5 50.9 51.6 48.6 +% avec cache: 22.9 23.0 27.1 46.6 27.6 32.5 32.5 26.0 41.3 36.6 39.3 37.5 37.0 40.3 37.4 39.0 41.9 37.5 40.0 34.4 + + + +%%%%%%%%%%%%%% +% CONCLUSION % +%%%%%%%%%%%%%% + +% Si la base de données est petite, il vaut mieux ne pas utiliser de cache. +% Celui-ci deviens utile à partir de la taille 500 environ... +% Au final on arrive presque à gagner 25% du tps avec 1500 exemple et 40% avec 5000 exemples sur le temps d'execution sur cet exemple. +% Utiliser un cache vide, ou un cache possédant deja des valeurs ne change pas grand chose, à part si celui-ci est de taille trop petite ^^(voir res pour 5000 exemples et score bic et res2 pour 1500 ex et score bayésien et res3 pour 500 ex et bic et res4 pour 1500 et bic)). +% Sinon qd le cache est trop gd cela n'est pas trop grave. +% En fait, utiliser une matrice classique prend moins de place mémoire qd le cache est plein. +% +% res= (L=100 200 300 400 500 600 700 800 900 1000) +% ssc 112 +% cvide 86.5 63.6 64.4 65.1 63.9 64.1 64.4 64.5 64.2 64.8 +% cplein127.7 63.4 63.8 63.7 63.4 63.9 63.5 63.9 63.6 64.2 +% +% res2= (L=20 40 60 80 100 120 140 160 180 200 300 400 500 600) +% ssc 39 +% cvide 46.5 49.2 49.7 52.3 41.9 36.3 46.5 47.1 47.3 46.2 46.4 34.9 35.4 35.9 +% cplein 44.9 46.2 47.7 51.1 69.0 36.0 37.1 37.6 48.2 47.7 48.2 47.7 36.7 36.2 +% +% res3= (L=50 100 150 200 250 300 350 400 450 500 550 600) +% ssc 33 +% cvide 41.9 28.8 28.5 28.6 28.4 28.7 28.4 28.9 28.7 28.8 28.5 28.6 +% cplein 39.1 46.3 28.9 29.3 29.0 29.5 29.1 29.6 29.3 29.0 29.4 29.3 +% +% res4= (L=50 100 150 200 250 300 350 400) +% ssc 49 +% cvide 55.3 39.0 37.2 39.2 37.9 38.3 37.8 38.4 +% +% +% ON voit donc qu'une fois la taille du cache bien choisie, celui-ci ne fait pas perdre de perfs sur les petites BD, +% IL ne reste donc plus qu'a trouver une formule qui donne une taille de cache optimum en fonction du nombre de noeud, +% et esperer que celle-ci ne soit pas trop exponnentielle... + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ANNEXE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% ChronoMetrage pour 1500 exemples. +% (pas à jour, c'était comme ca au debut maintenant le prétraitement est passé à ~~0.25s) +%%%%%%%%%%%%%%% + +% n'existe pas ds le cache | existe | ss cache +% -----------------------------------------|-------------|-------------- +% Prétraitement ==> 0.0044~64 secondes | 0.0063~84 s | <== trop long +% Lecture ==> 0.0004~09 secondes | 0.0004~09 s | +% if ~exist | | +% calcul ==> 0.0076~87 secondes | | 0.0076~87 s <== par rapport a ca +% ecriture ==> 0.0005~05 secondes | | +% _________________________________________|_____________|_______________ +% TOTAL === 1,3~1,6 ms | 0,7~,9 ms | 0,9 ms +% | +% |__> à évoluer vers ???? + +% enlever les commentaires sur les tic,toc en dur ds les fonctions + +% tic +% [scorr cac]=score_family(2,[3 4 5],'tabular', 'bic', 2*ones(1,N),1:N, data, {}, cache); +% toc +% tic +% [scorr cac]=score_family(2,[3 4 5],'tabular', 'bic', 2*ones(1,N),1:N, data, {}, cac); +% toc +% tic +% scorr=score_family(2,[3 4 5],'tabular', 'bic', 2*ones(1,N),1:N, data, {}); +% toc diff --git a/sourcecodes/bnt-master/SLP/examples/test_chisquare.m b/sourcecodes/bnt-master/SLP/examples/test_chisquare.m new file mode 100644 index 00000000..5282f1b0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_chisquare.m @@ -0,0 +1,61 @@ +% +% test CHI2 +% + +% Génération de données jouet +N=20000; +xx=5*rand(N,1); +yy=5*rand(N,1); +zz = 5*rand(N,1); +z2= (xx+yy) ; +Data=1+[round(xx) round(yy) round(z2) round(zz)]; +Data=Data'; + +texte{1}='dependency'; +texte{2}='independency'; + +%test='pearson'; % Pearson's Chi2 +test='LRT'; % Likelihood ratio test G2 + +fprintf('\n\n\n\t=================================================\n'); +fprintf('\t\tChi2 Test for (conditional) independency\n'); +fprintf('\t\t(X, Y and Z are theoritically independant)\n'); + +fprintf('\t=================================================\n'); +fprintf('Variables \t\t: Theory : Results (test=%s)\n',test); +fprintf('------------------------------------------------------------------------\n'); + +S=[]; +x=1; y=2; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data(:,1:100),test); +fprintf('X, Y \t\t\t: DEPDCY : \tCHI2=%8.2f \t%s (not enough data)\n',CHI2,texte{IND+1}); + +S=[]; +x=1; y=2; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, Y \t\t\t: INDPCY : \tCHI2=%8.2f \t%s\n',CHI2,texte{IND+1}); + +S=[]; +x=1; y=3; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, X+Y \t\t\t: DEPDCY :\tCHI2=%8.2f \t%s\n',CHI2,texte{IND+1}); + +S=[]; +x=1; y=4; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, Z \t\t\t: INDPCY :\tCHI2=%8.2f \t%s\n',CHI2,texte{IND+1}); + + +x=1; y=2; S=4; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, Y | Z \t\t: INDPCY : \tCHI2=%8.2f \tconditional %s\n',CHI2,texte{IND+1}); + +x=1; y=2; S=3; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, Y | X+Y \t\t: DEPDCY : \tCHI2=%8.2f \tconditional %s\n',CHI2,texte{IND+1}); + +x=1; y=2; S=[3 4]; +[IND CHI2] = cond_indep_chisquare(x,y,S,Data,test); +fprintf('X, Y | {X+Y,Z}\t\t: DEPDCY : \tCHI2=%8.2f \tconditional %s\n',CHI2,texte{IND+1}); + +fprintf('------------------------------------------------------------------------\n'); \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_cpdag.m b/sourcecodes/bnt-master/SLP/examples/test_cpdag.m new file mode 100644 index 00000000..983a0399 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_cpdag.m @@ -0,0 +1,22 @@ +% Test Dag2Cpdag and Cpdag2Dag functions ... + +close all; +clear all; + +bnet=mk_asia_bnet ; + +n=8; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +carre=ones(1,n); + +[xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; + +cpdag=dag_to_cpdag(bnet.dag) ; +dag1 = cpdag_to_dag(cpdag) ; + +figure; +subplot(1,3,1), draw_graph(bnet.dag,names,carre,xx,yy); title('original ASIA'); +subplot(1,3,2), draw_graph(cpdag,names,carre,xx,yy); title('cpasia=DAGtoCPDAG(asia)'); +subplot(1,3,3), draw_graph(dag1,names,carre,xx,yy); title('CPDAGtoDAG(cpasia)'); \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_data_generation.m b/sourcecodes/bnt-master/SLP/examples/test_data_generation.m new file mode 100644 index 00000000..a31cf8da --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_data_generation.m @@ -0,0 +1,46 @@ +% gener_mcardat + +%%Jouet 1 +N=5; +dag=zeros(N); +dag(1,2)=1; +dag(2,[3 4])=1; +dag(4,5)=1; +node_sizes= [2 3 4 5 2]; ns = node_sizes; +bnet = mk_bnet(dag, node_sizes); +bnet.CPD{1} = tabular_CPD(bnet, 1, [0.2 0.8]); +bnet.CPD{2} = tabular_CPD(bnet, 2, [0.1 0.6 0.3 0.9 0.4 0.7]); +bnet.CPD{3} = tabular_CPD(bnet, 3, [0.3 0.5 0.7 0.2 0.2 0.1 0.05 0.5 0.5 0.4 0.25 0.3]); +bnet.CPD{4} = tabular_CPD(bnet, 4, [0.35 0.05 0.65 0.15 0.25 0.15 0.15 0.10 0.25 0.45 0.5 0.8 0.25 0.6 0.3]); +bnet.CPD{5} = tabular_CPD(bnet, 5, [0.25 0.15 0.15 0.25 0.10 0.15 0.2 0.05 0.3 0.4]); +bnet_orig=bnet + +base_proba=0.2; + +%%%%%%%% MCAR + +bnet_miss = gener_MCAR_net(bnet_orig, base_proba); + +carre=zeros(1,3*N); +names={'X1','X2','X3','X4','X5','R1','R2','R3','R4','R5','M1','M2','M3','M4','M5'}; +xx=[.1,.3,.5,.7,.9,.05,.25,.45,.65,.85,.15,.35,.55,.75,.95]; +yy=[.85,.70,.90,.75,.80,.65,.40,.60,.45,.50,.2,.2,.2,.2,.2]; +figure;draw_graph(bnet_miss.dag,names,carre,xx,yy) + +[data, comp_data, bnet_miss, taux, bnet_orig, notok] = gener_data_from_bnet_miss(bnet_miss, 500, base_proba ,0,0); + +OK = ~notok + +%%%%%%%% MAR + +bnet_miss = gener_MAR_net(bnet_orig, base_proba); + +carre=zeros(1,3*N); +names={'X1','X2','X3','X4','X5','R1','R2','R3','R4','R5','M1','M2','M3','M4','M5'}; +xx=[.1,.3,.5,.7,.9,.05,.25,.45,.65,.85,.15,.35,.55,.75,.95]; +yy=[.85,.70,.90,.75,.80,.65,.40,.60,.45,.50,.2,.2,.2,.2,.2]; +figure;draw_graph(bnet_miss.dag,names,carre,xx,yy) + +[data, comp_data, bnet_miss, taux, bnet_orig, notok] = gener_data_from_bnet_miss(bnet_miss, 500, base_proba ,0,0); + +OK = ~notok diff --git a/sourcecodes/bnt-master/SLP/examples/test_gener.m b/sourcecodes/bnt-master/SLP/examples/test_gener.m new file mode 100644 index 00000000..d8d5ebb2 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_gener.m @@ -0,0 +1,123 @@ +% data generation +clear all +close all + +ddd = datestr(now); +ddd([12 15 18])='-' ; +fnd=[ddd '.txt']; +diary(fnd) + +% Metaparams +hyp = 'mar'; +ntests = 2; % change it ! +nessais = 2; % change it ! +m = 1000; % change it ! + +% INIT +missing = 2; +misv = -9999; +%test = zeros(nessais,6); +test = zeros(nessais,ntests); +taille = zeros(nessais,ntests); +kiki = zeros(nessais,1); + +%%%%%%%%%% TESTS %%%%%%%%%%% +for essai=1:nessais + + N = ceil(rand*11) + 2 + base_proba = .15 + rand/4; + + fan_in = ceil(rand*4) + dag=mk_rnd_dag(N,fan_in) + discrete=1:N; + for i=1:N, node_sizes(i) = ceil(rand*4)+1; end + bnet = mk_bnet(dag, node_sizes, discrete); + node_sizes + for i=1:N, bnet.CPD{i} = tabular_CPD(bnet, i); end + + if prod([hyp(1:3) == 'mca']+0), + bnet_miss = gener_MCAR_net(bnet, base_proba); + disp(' - MCAR net generated'); + elseif prod([hyp(1:3) == 'mar']+0), + bnet_miss = gener_MAR_net(bnet, base_proba); + disp(' - MAR net generated'); + end + + [data, comp_data, bnet_miss, taux, bnet_orig, notok, dT] = gener_data_from_bnet_miss(bnet_miss, m, base_proba ,1); + base_proba + + kiki(essai) = 1-chi2cdf(dT,1); + + %test(essai,1)=1-chi2cdf(d,df); + node0=[]; param0=[]; + for i=1:ntests + % choose a node + node=ceil(rand*N); + while ~isempty(myintersect(node,node0)) & ichi2_table(chi2(chiv),df), test(essai,i,chiv) = 1; end + %end + cumchi=chi2cdf(d,df) + test(essai,i) = 1-cumchi; + taille(essai,i) = toto; + + %fprintf('%2.1f%% OF MISSING DATA (%2.1f%%, Khi2 : %2.1f > %2.1f)\n', round(base_proba*10000)/100, round(taux*10000)/100, d, chi2(nchi)); + + end + clear bnet_miss bnet datamat data node0 family node_sizes CPT indj tmp +end + +kiki +taille +test + +%eval(['save resgener' ddd 'kiki taille test hyp ntests nessais = 50 m']) + +diary off + diff --git a/sourcecodes/bnt-master/SLP/examples/test_ges.m b/sourcecodes/bnt-master/SLP/examples/test_ges.m new file mode 100644 index 00000000..ba1b6c70 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_ges.m @@ -0,0 +1,45 @@ +% test Greedy Equivalence Search with cache + +clear all; + +%add_BNT_to_path; + +fprintf('\n=== Structure Learning with Greedy Equivalence Search algorithm and cache implementation\n'); + + +bnet=mk_asia_bnet ; + +n=8; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +carre=ones(1,n); +node_type={'tabular','tabular','tabular','tabular','tabular','tabular','tabular','tabular'}; + +m=10000; +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data); +fprintf('Complete data have been created.'); + +seeddag = zeros(n,n); + +fprintf('\t- Greedy Search (with cache)\n'); +tmp=cputime; +L=500; +cache=score_init_cache(n,L); +[dag1, best_score, cache] =learn_struct_ges(data,bnet.node_sizes,seeddag,'cache',cache,'scoring_fn','bic'); +%cache +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + + +figure;[xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; +subplot(1,3,1), [xx yy]=draw_graph(bnet.dag,names,carre,xx,yy); %,carre); +title('ASIA original graph'); +subplot(1,3,2), draw_graph(dag1,names,carre,xx,yy); %,carre); +title('GES CPDAG (cache)'); +subplot(1,3,3), draw_graph(cpdag_to_dag(dag1),names,carre,xx,yy); %,carre); +title('GES DAG (cache)'); +drawnow; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_ges_em.m b/sourcecodes/bnt-master/SLP/examples/test_ges_em.m new file mode 100644 index 00000000..3fe1442c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_ges_em.m @@ -0,0 +1,25 @@ +clear all +close all + +bnet = mk_asia_bnet(); + +N = length(bnet.dag); + +base_proba = 0.3; +bnet_miss = gener_MCAR_net(bnet, base_proba); + +m=500; +[data, comp_data, bnet_miss, taux, bnet_orig, notok] = gener_data_from_bnet_miss(bnet_miss, m, base_proba); + +dag0 = zeros(N); +bnet0 = mk_bnet(dag0, bnet.node_sizes); +for node = 1:N + bnet0.CPD{node} = tabular_CPD(bnet0, node, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); +end + +max_loop = 6; +[bnet0, cpdag, BIC_score, nloop] = learn_struct_ges_EM(bnet0, data, max_loop); + +[XX, YY] = draw_graph(bnet.dag); +figure; +draw_graph(bnet0.dag, {'1','2','3','4','5','6','7','8'}, zeros(1,N), XX, YY); diff --git a/sourcecodes/bnt-master/SLP/examples/test_gs2.m b/sourcecodes/bnt-master/SLP/examples/test_gs2.m new file mode 100644 index 00000000..0188977e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_gs2.m @@ -0,0 +1,54 @@ +% test Greedy Search with cache +clear all; + +fprintf('\n=== Structure Learning with Greedy Search algorithm and cache implementation\n'); + +n=8; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +carre=ones(1,n); +node_type={'tabular','tabular','tabular','tabular','tabular','tabular','tabular','tabular'}; + +m=6000; +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data); +fprintf('Complete data have been created.\n\n'); + +seeddag = mk_rnd_dag(n); + +fprintf('\t- Greedy Search (with cache)\n'); +tmp=cputime; +L=300; +cache=score_init_cache(n,L); +[dag1, best_score, cache] =learn_struct_gs2(data,bnet.node_sizes,seeddag,'cache',cache,'scoring_fn','bayesian'); +%cache +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + +fprintf('\t- Greedy Search (without cache)\n'); +tmp=cputime; +dag2=learn_struct_gs2(data,bnet.node_sizes,seeddag,'scoring_fn','bayesian'); +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + +fprintf('\t- Greedy Search (with cache and MWST initialisation)\n'); +tmp=cputime; +Tdag=learn_struct_mwst(data, ones(n,1), bnet.node_sizes, node_type,'mutual_info',ceil(n*rand)); +dag3=learn_struct_gs2(data,bnet.node_sizes,full(Tdag),'cache',cache,'scoring_fn','bayesian'); +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + + +figure;[xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; +subplot(1,4,1), [xx yy]=draw_graph(bnet.dag,names,carre,xx,yy); %,carre); +title('ASIA original graph'); +subplot(1,4,2), draw_graph(dag1,names,carre,xx,yy); %,carre); +title('GS (cache)'); +subplot(1,4,3), [xx yy]=draw_graph(dag2,names,carre,xx,yy); %,carre); +title('GS (without cache)'); +subplot(1,4,4), [xx yy]=draw_graph(dag3,names,carre,xx,yy); %,carre); +title('GS (with cache and MWST init)'); +drawnow; diff --git a/sourcecodes/bnt-master/SLP/examples/test_kldiv.m b/sourcecodes/bnt-master/SLP/examples/test_kldiv.m new file mode 100644 index 00000000..0b2b5503 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_kldiv.m @@ -0,0 +1,22 @@ +clear all; + +b1=mk_asia_bnet; +b2=mk_asia_bnet; +res1=[]; res2=[]; + +fprintf('\nComputation of several KL_divergences (quick methode 1): '); +tmp=cputime; +for ii=0.1:.1:1, +b2.CPD{1} = tabular_CPD(b2, 1, [ii 1-ii]); +res1=[res1 kl_divergence(b1,b2)]; +end +fprintf('%3.2f sec.\n', cputime-tmp); + +fprintf('Computation of several KL_divergences (slow methode 2): '); +tmp=cputime; +for ii=0.1:.1:1, +b2.CPD{1} = tabular_CPD(b2, 1, [ii 1-ii]); +res2=[res2 kl_divergence2(b1,b2)]; +end +fprintf('%3.2f sec.\n', cputime-tmp); +[res1' res2'] \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_knn.m b/sourcecodes/bnt-master/SLP/examples/test_knn.m new file mode 100644 index 00000000..b34a57a0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_knn.m @@ -0,0 +1,83 @@ +function [ratio, ratiominus, ratioplus, tps] = test_knn(BD,BDT,class,K) +% [epsilon, tps] = test_knn(BD,BDT,class,K) +% +% epsilon = good classification rate on BDT, +% tps = computation time, +% BD = examples dataset using to find neighbors, +% BDT = set of examples to class, +% class = classification attribute number, +% K = vote on the K nearest neighbor +% +% francois.olivier.c.h@gmail.com + +[N L]=size(BD); +Ltest=size(BDT,2); +fprintf(' test dataset size %d\r\n',Ltest); +E=setdiff(1:N,class); +place=0; +%for k=K +k=K; + place=place+1; + good=0;tic + for i=1:Ltest + %fprintf(' %d\r',i); + res=knn(BD(E,:)',BD(class,:)',[1 2],BDT(E,i)',k); + if res==BDT(class,i) + good=good+1; + end + end + tps(place)=toc; + epsilon(1,place)=k; + epsilon(2,place)=good/(Ltest); +%end + +ratio = epsilon(2,place); +[ratiominus ratioplus] = confiance(ratio,L); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%� +function [ypred]=knn(xapp,yapp,valY,X,k) +% knn implementation +% +% USE : [ypred]=knn(xapp,yapp,valY,X,k) +% +% Vincent Guigue 08/01/03 + +if nargin<4 + error('too few argumemnts'); +elseif nargin<5 + k=3; +else + if mod(k,2)==0 + error('k must be odd'); + end +end + +if size(xapp,2)~=size(X,2) + error('dimension incompatibility'); +end +ndim = size(xapp,2); +nptxapp = size(xapp,1); +nptX = size(X,1); + +% distance de X a xapp : +mat1 = repmat(xapp, nptX,1); +%mat21 = reshape(X',1,nptX*ndim) +mat22 = repmat(X,1,nptxapp)'; +mat2 = reshape(mat22 ,ndim, nptxapp*nptX)'; +distance = mat1 - mat2 ; +distance = sum(distance.^2,2); +distance = reshape(distance,nptxapp,nptX); +[val kppv] = sort(distance,1); +% bilan sur les k premieres lignes +kppv = reshape(kppv(1:k,:),k*nptX,1); +Ykppv = yapp(kppv,1); +Ykppv = reshape(Ykppv,k,nptX); +% trouver le plus de reponses identique par colonne +vote = []; +for i=1:nptX + for j=1:length(valY) + vote(j,i)=size(find(Ykppv(:,i)==valY(j)),1); + end +end +[val ind]=max(vote,[],1); +ypred = valY(ind); \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_mwst.m b/sourcecodes/bnt-master/SLP/examples/test_mwst.m new file mode 100644 index 00000000..2961729a --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_mwst.m @@ -0,0 +1,33 @@ +% test MWST + +clear all; + +fprintf('\n=== Structure Learning with Maximum Weight Spanning Tree\n'); + +bnet=mk_asia2_bnet ; + +n=8; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +carre=ones(1,n); +node_type={'tabular','tabular','tabular','tabular','tabular','tabular','tabular','tabular'}; + +m=10000; +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data); +fprintf('Complete data have been created.'); + +tmp=cputime; +dag=learn_struct_mwst(data, ones(n,1), bnet.node_sizes, node_type,'mutual_info'); +tmp=cputime-tmp; +fprintf('\t- Execution Time : %3.2f seconds\n\n',tmp); + +figure; [xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; +subplot(1,2,1), [xx yy]=draw_graph(bnet.dag,names,carre,xx,yy); %,carre); +title('ASIA original graph'); +subplot(1,2,2), draw_graph(dag,names,carre,xx,yy); %,carre); +title('MWST DAG'); +drawnow; diff --git a/sourcecodes/bnt-master/SLP/examples/test_netica_export.m b/sourcecodes/bnt-master/SLP/examples/test_netica_export.m new file mode 100644 index 00000000..3c35d32c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_netica_export.m @@ -0,0 +1,85 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Example 1 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +N=3; +dag=zeros(N); +dag([1 3],2)=1; + +names = {'A1','B2','C3'}; + +bnet = mk_bnet(dag, [2 3 4], 'names', names); +%bnet = mk_bnet(dag, [2 3 4]); + +bnet.CPD{1} = tabular_CPD (bnet, 1, [0.2 0.8] ); +bnet.CPD{3} = tabular_CPD (bnet, 3, [0.1 0.2 0.3 0.4] ); + + % 1 3 2 prob +tab = [[1 1 1 .2];... + [2 1 1 .4];... + [1 2 1 .1];... + [2 2 1 .7];... + [1 3 1 .5];... + [2 3 1 .1];... + [1 4 1 .75];... + [2 4 1 .1];... +... + [1 1 2 .3];... + [2 1 2 .5];... + [1 2 2 .1];... + [2 2 2 .2];... + [1 3 2 .25];... + [2 3 2 .9];... + [1 4 2 .10];... + [2 4 2 .25];... +... + [1 1 3 .5];... + [2 1 3 .1];... + [1 2 3 .8];... + [2 2 3 .1];... + [1 3 3 .25];... + [2 3 3 .0];... + [1 4 3 .15];... + [2 4 3 .65]]; + +bnet.CPD{2} = tabular_CPD (bnet, 2, tab(:,4)); + +export_dnet(bnet,'test1', 1) + +m = 20; +data = cell(N,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +remov = rand(1,N*m)>.8; +for i=1:length(remov); if remov(i), data{i}=[];end; end + +export_cases(data, names, 'test1', -9999) + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Example 2 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +N=4; +dag=zeros(N); +dag([1 2 3],4)=1; +dag(1,2)=1; +ns = [2 2 2 2]; + +names = {'A1','B2','C3','D4'}; + +bnet = mk_bnet(dag, ns, 'names', names); + +bnet.CPD{1} = tabular_CPD (bnet, 1, [0.2 0.8] ); +bnet.CPD{2} = tabular_CPD (bnet, 2, [0.1 0.4 0.9 0.6] ); +bnet.CPD{3} = tabular_CPD (bnet, 3, [0.5 0.5] ); +bnet.CPD{4} = tabular_CPD (bnet, 4, [0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2] ); + +export_dnet(bnet,'test2', 1) + +m = 20; +data = cell(N,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +remov = rand(1,N*m)>.8; +for i=1:length(remov); if remov(i), data{i}=[];end; end + +export_cases(data, names, 'test2', -9999) + diff --git a/sourcecodes/bnt-master/SLP/examples/test_pc.m b/sourcecodes/bnt-master/SLP/examples/test_pc.m new file mode 100644 index 00000000..ba2e84c6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_pc.m @@ -0,0 +1,39 @@ +% test PC + Chi2 statistical test + +clear all; + +test='pearson'; % Pearson's Chi2 +%test='LRT'; % Likelihood ratio test G2 +fprintf('\n=== Structure Learning with PC algorithm (and %s CHI2 test)\n',test); + +bnet=mk_asia2_bnet ; + +n=8; +names={ 'A' , 'S' , 'T' , 'L' , 'B' , 'O' , 'X' , 'D' }; +carre=ones(1,n); +node_type={'tabular','tabular','tabular','tabular','tabular','tabular','tabular','tabular'}; + +m=2000; +bnet=mk_asia2_bnet; +data = cell(n,m); +for l = 1:m, data(:,l) = sample_bnet(bnet); end +data=cell2mat(data); +fprintf('Complete data have been created.'); + +tmp=cputime; +PC.dag = learn_struct_pdag_pc('cond_indep_chisquare',n,n-2,data,test); +tmp=cputime-tmp; +fprintf('\t- Execution time : %3.2f seconds\n',tmp); + +figure; +[xx yy] = make_layout(bnet.dag); +yy=(yy-0.2)*.8/.6+.1; +xx=(xx-0.2833)*.8/.517+.1; +subplot(1,3,1), [xx yy]=draw_graph(bnet.dag,names,carre,xx,yy); %,carre); +title('ASIA original graph'); +subplot(1,3,2), draw_graph(abs(PC.dag),names,carre,xx,yy); %,carre); +title('PC PDAG'); +dag = cpdag_to_dag(abs(PC.dag)); +subplot(1,3,3), draw_graph(dag,names,carre,xx,yy); +title('PC DAG'); +drawnow; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/examples/test_sem1.m b/sourcecodes/bnt-master/SLP/examples/test_sem1.m new file mode 100644 index 00000000..942ec7dd --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_sem1.m @@ -0,0 +1,56 @@ +% Lawn sprinker example from Russell and Norvig p454 +% See www.cs.berkeley.edu/~murphyk/Bayes/usage.html for details. + +rand('state', 0); +randn('state', 0); + +N = 4; +dag = zeros(N,N); +C = 1; S = 2; R = 3; W = 4; +dag(C,[R S]) = 1; +dag(R,W) = 1; +dag(S,W)=1; + +false = 1; true = 2; +ns = 2*ones(1,N); % binary nodes + +bnet = mk_bnet(dag, ns); +bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]); +bnet.CPD{R} = tabular_CPD(bnet, R, [0.8 0.2 0.2 0.8]); +bnet.CPD{S} = tabular_CPD(bnet, S, [0.5 0.9 0.5 0.1]); +bnet.CPD{W} = tabular_CPD(bnet, W, [1 0.1 0.1 0.01 0 0.9 0.9 0.99]); + +nsamples = 500; +samplesM = cell(N, nsamples); +for i=1:nsamples + samplesM(:,i) = sample_bnet(bnet); +end + +hide = rand(N, nsamples) > 0.9; +[I,J]=find(hide); +for k=1:length(I) + samplesM{I(k), J(k)} = []; +end + +% Make a initial chain like dag +G0 = zeros(N,N); +for i=1:N-1 + G0(i, i+1) = 1; +end + +figure; +draw_graph(G0); + +B0 = mk_bnet(G0, ns); +% use random params +for i=1:N + B0.CPD{i} = tabular_CPD(B0, i, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); +end + +max_loop = 30; +%profile on -detail mmex +[B0, order, best_score] = learn_struct_EM(B0, samplesM, max_loop); +%profile report + +dag1 = B0.dag; +dag1 = dag1(order,order); diff --git a/sourcecodes/bnt-master/SLP/examples/test_sem2.m b/sourcecodes/bnt-master/SLP/examples/test_sem2.m new file mode 100644 index 00000000..038afd0b --- /dev/null +++ b/sourcecodes/bnt-master/SLP/examples/test_sem2.m @@ -0,0 +1,59 @@ +% learn the structure of "discrete1" network. + +rand('state', 0); +randn('state', 0); +N = 9; +dag = zeros(N,N); +dag(1,2)=1; dag(1,3)=1; dag(1,4)=1; +dag(2,5)=1; dag(3,6)=1; dag(4,7)=1; +dag(5,8)=1; dag(6,8)=1; dag(6,9)=1; dag(7,9) = 1; + + +dnodes = 1:N; +false = 1; true = 2; +ns = 2*ones(1,N); % binary nodes + +bnet = mk_bnet(dag, ns); +% use random params +for i=1:N + bnet.CPD{i} = tabular_CPD(bnet, i); +end + +nsamples = 500; +samplesM = cell(N, nsamples); +for i=1:nsamples + samplesM(:,i) = sample_bnet(bnet); +end + +hide = rand(N, nsamples) > 0.8; +[I,J]=find(hide); +for k=1:length(I) + samplesM{I(k), J(k)} = []; +end + +engine = jtree_inf_engine(bnet); +[bnet, LL, engine] = learn_params_em(engine, samplesM, 1); +LL + +G0 = zeros(N,N); +for i=1: N-1 + G0(i, i+1) = 1; +end + +figure; +draw_graph(G0); + +B0 = mk_bnet(G0, ns); +% use random params +for i=1:N + B0.CPD{i} = tabular_CPD(B0, i, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); +end + +max_loop = 10; +profile on -detail mmex +[B0, order, best_score] = learn_struct_EM(B0, samplesM, max_loop); +profile report +G1 = B0.dag; + +G0 = G1(order, order); + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/cliques_from_engine.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/cliques_from_engine.m new file mode 100644 index 00000000..cd9d871d --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/cliques_from_engine.m @@ -0,0 +1,5 @@ +function cliques = cliques_from_engine(engine) +% CLIQUES_FROM_ENGINE Return the cliques stored inside the inf. engine (jtree) +% cliques = cliques_from_engine(engine) + +cliques = engine.cliques; diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/clq_containing_nodes.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/clq_containing_nodes.m new file mode 100644 index 00000000..8904fa49 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/clq_containing_nodes.m @@ -0,0 +1,24 @@ +function c = clq_containing_nodes(engine, nodes, fam) +% CLQ_CONTAINING_NODES Find the lightest clique (if any) that contains the set of nodes +% c = clq_containing_nodes(engine, nodes, family) +% +% If the optional 'family' argument is specified, it means nodes = family(nodes(end)). +% (This is useful since clq_ass_to_node is not accessible to outsiders.) +% Returns c=-1 if there is no such clique. + +if nargin < 3, fam = 0; else fam = 1; end + +if length(nodes)==1 + c = engine.clq_ass_to_node(nodes(1)); +%elseif fam +% c = engine.clq_ass_to_node(nodes(end)); +else + B = engine.cliques_bitv; + w = engine.clique_weight; + clqs = find(all(B(:,nodes), 2)); % all selected columns must be 1 + if isempty(clqs) + c = -1; + else + c = clqs(argmin(w(clqs))); + end +end diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/collect_evidence.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/collect_evidence.m new file mode 100644 index 00000000..03c00edf --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/collect_evidence.m @@ -0,0 +1,12 @@ +function [clpot, seppot] = collect_evidence(engine, clpot, seppot) +% COLLECT_EVIDENCE Do message passing from leaves to root (children then parents) +% [clpot, seppot] = collect_evidence(engine, clpot, seppot) + +for n=engine.postorder %postorder(1:end-1) + for p=engine.postorder_parents{n} + %clpot{p} = divide_by_pot(clpot{n}, seppot{p,n}); % dividing by 1 is redundant + seppot{p,n} = marginalize_pot(clpot{n}, engine.separator{p,n}, engine.maximize); + clpot{p} = multiply_by_pot(clpot{p}, seppot{p,n}); + end +end + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/disp.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/disp.m new file mode 100644 index 00000000..9fca2aaa --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/disp.m @@ -0,0 +1,40 @@ +% ==== +% disp +% ==== +% +% Description : +% ------------- +% +% disp function for class inf_engine. +% +% Syntax : +% -------- +% +% [] = disp( obj ) +% +% Input(s) : +% ---------- +% +% obj - class inf_engine +% An instance of the class inf_engine +% +% Output(s) : +% ----------- +% +% Example(s) : +% ------------ +% +% disp( obj ); +% +% Reference(s) : +% -------------- +% +% See also : +% ---------- +% +% display +function [] = disp( obj ) + +disp( struct( obj ) ); + +% End of function diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/display.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/display.m new file mode 100644 index 00000000..ca40702c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/display.m @@ -0,0 +1,42 @@ +% ======= +% display +% ======= +% +% Description : +% ------------- +% +% display function for class inf_engine. +% +% Syntax : +% -------- +% +% [] = display( obj ) +% +% Input(s) : +% ---------- +% +% obj - class inf_engine +% An instance of the class inf_engine +% +% Output(s) : +% ----------- +% +% Example(s) : +% ------------ +% +% display( obj ); +% +% Reference(s) : +% -------------- +% +% See also : +% ---------- +% +% disp +function [] = display( obj ) + +fprintf( '\n%s =\n\n', inputname( 1 ) ); +disp( struct( obj ) ); + +% End of function + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/distribute_evidence.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/distribute_evidence.m new file mode 100644 index 00000000..403b8970 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/distribute_evidence.m @@ -0,0 +1,11 @@ +function [clpot, seppot] = distribute_evidence(engine, clpot, seppot) +% DISTRIBUTE_EVIDENCE Do message passing from root to leaves (parents then children) +% [clpot, seppot] = distribute_evidence(engine, clpot, seppot) + +for n=engine.preorder + for c=engine.preorder_children{n} + clpot{c} = divide_by_pot(clpot{c}, seppot{n,c}); + seppot{n,c} = marginalize_pot(clpot{n}, engine.separator{n,c}, engine.maximize); + clpot{c} = multiply_by_pot(clpot{c}, seppot{n,c}); + end +end diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_evidence.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_evidence.m new file mode 100644 index 00000000..8cda6012 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_evidence.m @@ -0,0 +1,95 @@ +function [engine, loglik] = enter_evidence(engine, evidence, varargin) +% ENTER_EVIDENCE Add the specified evidence to the network (jtree) +% [engine, loglik] = enter_evidence(engine, evidence, ...) +% +% evidence{i} = [] if X(i) is hidden, and otherwise contains its observed value (scalar or column vector). +% +% The following optional arguments can be specified in the form of name/value pairs: +% [default value in brackets] +% +% soft - a cell array of soft/virtual evidence; +% soft{i} is a prob. distrib. over i's values, or [] [ cell(1,N) ] +% +% e.g., engine = enter_evidence(engine, ev, 'soft', soft_ev) + +bnet = bnet_from_engine(engine); +ns = bnet.node_sizes(:); +N = length(bnet.dag); + +engine.evidence = evidence; % store this for marginal_nodes with add_ev option +engine.maximize = 0; + +% set default params +exclude = []; +soft_evidence = cell(1,N); + +% parse optional params +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'soft', soft_evidence = args{i+1}; + case 'maximize', engine.maximize = args{i+1}; + otherwise, + error(['invalid argument name ' args{i}]); + end +end + +onodes = find(~isemptycell(evidence)); +hnodes = find(isemptycell(evidence)); +pot_type = determine_pot_type(bnet, onodes); + if strcmp(pot_type, 'cg') + check_for_cd_arcs(onodes, bnet.cnodes, bnet.dag); +end + +if is_mnet(bnet) + pot = engine.user_pot; + clqs = engine.nums_ass_to_user_clqs; +else + % Evaluate CPDs with evidence, and convert to potentials + pot = cell(1, N); + for n=1:N + fam = family(bnet.dag, n); + e = bnet.equiv_class(n); + if isempty(bnet.CPD{e}) + error(['must define CPD ' num2str(e)]) + else + pot{n} = convert_to_pot(bnet.CPD{e}, pot_type, fam(:), ... + evidence); + end + end + clqs = engine.clq_ass_to_node(1:N); +end + + +% soft evidence +soft_nodes = find(~isemptycell(soft_evidence)); +S = length(soft_nodes); +if S > 0 + assert(pot_type == 'd'); + assert(mysubset(soft_nodes, bnet.dnodes)); +end +for i=1:S + n = soft_nodes(i); + % Modif RD - 2006/12/22 + % Why end+1 it doesn't work for me... + % replace with n and it is ok + pot{ n } = dpot( n, ns( n ), soft_evidence{ n } ); +end +% Modif RD - 2006/12/22 +% But now we have to comment this line to ensure dimension matching +%clqs = [clqs engine.clq_ass_to_node(soft_nodes)]; + + +[clpot, seppot] = init_pot(engine, clqs, pot, pot_type, onodes); +[clpot, seppot] = collect_evidence(engine, clpot, seppot); +[clpot, seppot] = distribute_evidence(engine, clpot, seppot); + +C = length(clpot); +ll = zeros(1, C); +for i=1:C + [clpot{i}, ll(i)] = normalize_pot(clpot{i}); +end +loglik = ll(1); % we can extract the likelihood from any clique + +engine.clpot = clpot; diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_soft_evidence.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_soft_evidence.m new file mode 100644 index 00000000..0a4346c6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/enter_soft_evidence.m @@ -0,0 +1,21 @@ +function [clpot, loglik] = enter_soft_evidence(engine, clique, potential, onodes, pot_type) +% ENTER_SOFT_EVIDENCE Add the specified potentials to the network (jtree) +% [clpot, loglik] = enter_soft_evidence(engine, clique, potential, onodes, pot_type, maximize) +% +% We multiply potential{i} onto clique(i) before propagating. +% We return all the modified clique potentials. + +% only used by BK! + +[clpot, seppot] = init_pot(engine, clique, potential, pot_type, onodes); +[clpot, seppot] = collect_evidence(engine, clpot, seppot); +[clpot, seppot] = distribute_evidence(engine, clpot, seppot); + +C = length(clpot); +ll = zeros(1, C); +for i=1:C + [clpot{i}, ll(i)] = normalize_pot(clpot{i}); +end +loglik = ll(1); % we can extract the likelihood from any clique + + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_max_config.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_max_config.m new file mode 100644 index 00000000..5053b1e8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_max_config.m @@ -0,0 +1,35 @@ +function [mpe, clpot, seppot] = find_max_config(engine, clpot, seppot, evidence) +% FIND_MAX_CONFIG Backwards pass of Viterbi fro jtree +% function [mpe, clpot, seppot] = find_max_config(engine, clpot, seppot, evidence) +% See Cowell99 p98 + +bnet = bnet_from_engine(engine); +nnodes = length(bnet.dag); +mpe = cell(1, nnodes); +maximize = 1; + +c = engine.root_clq; +pot = struct(clpot{c}); % violate object privacy +dom = pot.domain; +[indices, clpot{c}] = find_most_prob_entry(clpot{c}); +mpe(dom) = num2cell(indices); + +for n=engine.preorder + for c=engine.preorder_children{n} + clpot{c} = divide_by_pot(clpot{c}, seppot{n,c}); + seppot{n,c} = marginalize_pot(clpot{n}, engine.separator{n,c}, maximize); + clpot{c} = multiply_by_pot(clpot{c}, seppot{n,c}); + + pot = struct(clpot{c}); % violate object privacy + dom = pot.domain; + [indices, clpot{c}] = find_most_prob_entry(clpot{c}); + mpe(dom) = num2cell(indices); + end +end + +obs_nodes = find(~isemptycell(evidence)); +% indices for observed nodes will be 1 - need to overwrite these +mpe(obs_nodes) = evidence(obs_nodes); + + + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_mpe.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_mpe.m new file mode 100644 index 00000000..8a46c1ed --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/find_mpe.m @@ -0,0 +1,71 @@ +function mpe = find_mpe(engine, evidence, varargin) +% FIND_MPE Find the most probable explanation of the data (assignment to the hidden nodes) +% function mpe = find_mpe(engine, evidence,...) +% +% evidence{i} = [] if X(i) is hidden, and otherwise contains its observed value (scalar or column vector). +% +% The following optional arguments can be specified in the form of name/value pairs: +% [default value in brackets] +% +% soft - a cell array of soft/virtual evidence; +% soft{i} is a prob. distrib. over i's values, or [] [ cell(1,N) ] +% + +bnet = bnet_from_engine(engine); +ns = bnet.node_sizes(:); +N = length(bnet.dag); + +engine.evidence = evidence; + +% set default params +exclude = []; +soft_evidence = cell(1,N); + +% parse optional params +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'soft', soft_evidence = args{i+1}; + otherwise, + error(['invalid argument name ' args{i}]); + end +end +engine.maximize = 1; + +onodes = find(~isemptycell(evidence)); +hnodes = find(isemptycell(evidence)); +pot_type = determine_pot_type(bnet, onodes); + if strcmp(pot_type, 'cg') + check_for_cd_arcs(onodes, bnet.cnodes, bnet.dag); +end + +hard_nodes = 1:N; +soft_nodes = find(~isemptycell(soft_evidence)); +S = length(soft_nodes); +if S > 0 + assert(pot_type == 'd'); + assert(mysubset(soft_nodes, bnet.dnodes)); +end + +% Evaluate CPDs with evidence, and convert to potentials +pot = cell(1, N+S); +for n=1:N + fam = family(bnet.dag, n); + e = bnet.equiv_class(n); + if isempty(bnet.CPD{e}) + error(['must define CPD ' num2str(e)]) + else + pot{n} = convert_to_pot(bnet.CPD{e}, pot_type, fam(:), evidence); + end +end + +for i=1:S + n = soft_nodes(i); + pot{N+i} = dpot(n, ns(n), soft_evidence{n}); +end +clqs = engine.clq_ass_to_node([hard_nodes soft_nodes]); + +[clpot, seppot] = init_pot(engine, clqs, pot, pot_type, onodes); +[clpot, seppot] = collect_evidence(engine, clpot, seppot); +mpe = find_max_config(engine, clpot, seppot, evidence); % instead of distribute evidence diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/get.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/get.m new file mode 100644 index 00000000..af4f7d88 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/get.m @@ -0,0 +1,95 @@ +% === +% get +% === +% +% Description : +% ------------- +% +% Reading method for the class' attributes. +% +% Syntax : +% -------- +% +% val = get( obj, attribute_name ); +% +% Input(s) : +% ---------- +% +% obj - class inf_engine +% An instance of the class inf_engine +% +% attribute_name - string +% The name of a class' attribute +% For details about the attribute's names, see the constructor +% (inf_engine.m) +% +% Output(s) : +% ----------- +% +% val - any +% The value of the specified attribute +% +% Example(s) : +% ------------ +% +% val = get( obj, 'attribute_name' ); +% +% Reference(s) : +% -------------- +% +% See also : +% ---------- +% +% inf_engine +% set +function [ val ] = get( engine, attribute_name ) + +val = []; + +% Processing +val = get( engine.inf_engine, attribute_name ); + +% Processing +arg = upper( attribute_name ); + +switch arg + case upper( 'evidence' ) + val = engine.evidence; + case upper( 'jtree' ) + val = engine.jtree; + case upper( 'cliques' ) + val = engine.cliques; + case upper( 'separator' ) + val = engine.separator; + case upper( 'cliques_bitv' ) + val = engine.cliques_bitv; + case upper( 'clique_weight' ) + val = engine.clique_weight; + case upper( 'clpot' ) + val = engine.clpot; + case upper( 'clq_ass_to_node' ) + val = engine.clq_ass_to_node; + case upper( 'root_clq' ) + val = engine.root_clq; + case upper( 'preorder' ) + val = engine.preorder; + case upper( 'postorder' ) + val = engine.postorder; + case upper( 'preorder_children' ) + val = engine.preorder_children; + case upper( 'postorder_parents' ) + val = engine.postorder_parents; + case upper( 'maximize' ) + val = engine.maximize; + case upper( 'evidence' ) + val = engine.evidence; + + otherwise + % warning_str = [ 'inf_engine - get : attribute ' ... + % arg ' doesn''t exist' ]; + + % warning( warning_str ); +end + +% End of function + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/init_pot.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/init_pot.m new file mode 100644 index 00000000..857e6266 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/init_pot.m @@ -0,0 +1,20 @@ +function [clpot, seppot] = init_pot(engine, clqs, pots, pot_type, onodes, ndx) +% INIT_POT Initialise potentials with evidence (jtree_inf) +% function [clpot, seppot] = init_pot(engine, clqs, pots, pot_type, onodes) + +cliques = engine.cliques; +bnet = bnet_from_engine(engine); +% Set the clique potentials to all 1s +C = length(cliques); +clpot = cell(1,C); +for i=1:C + clpot{i} = mk_initial_pot(pot_type, cliques{i}, bnet.node_sizes(:), bnet.cnodes(:), onodes); +end + +% Multiply on specified potentials +for i=1:length(clqs) + c = clqs(i); + clpot{c} = multiply_by_pot(clpot{c}, pots{i}); +end + +seppot = cell(C,C); % implicitely initialized to 1 diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/jtree_inf_engine2.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/jtree_inf_engine2.m new file mode 100644 index 00000000..594833de --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/jtree_inf_engine2.m @@ -0,0 +1,239 @@ +function [ engine ] = jtree_inf_engine_rd( bnet, varargin ) +% JTREE_INF_ENGINE2 Junction tree inference engine +% engine = jtree_inf_engine(bnet, ...) +% +% The following optional arguments can be specified in the form of name/value pairs: +% [default value in brackets] +% +% clusters - a cell array of sets of nodes we want to ensure are in the same clique (in addition to families) [ {} ] +% root - the root of the junction tree will be a clique that contains this set of nodes [N] +% stages - stages{t} is a set of nodes we want to eliminate before stages{t+1}, ... [ {1:N} ] +% +% e.g., engine = jtree_inf_engine(bnet, 'maximize', 1); +% +% For more details on the junction tree algorithm, see +% - "Probabilistic networks and expert systems", Cowell, Dawid, Lauritzen and Spiegelhalter, Springer, 1999 +% - "Inference in Belief Networks: A procedural guide", C. Huang and A. Darwiche, +% Intl. J. Approximate Reasoning, 15(3):225-263, 1996. +% +% modification of the calculus of cliques from JTREE_INF_ENGINE + + +% set default params +N = length( bnet.dag ); + +% Optional argument processing +[ b_verb, clusters, root, stages ] = jtree_inf_engine2_varargin_mgt( N, varargin ); + +% --- Verbose --- % +if b_verb + fprintf( '/ ------------------------------- \\\n' ); + fprintf( '| jtree_inf_engine2 - verbose mode |\n' ); + time_i = datenum( clock ); +end +% --------------- % + +% Initialization +% ============== + +% Class initialization +engine = init_fields; +engine = class( engine, 'jtree_inf_engine2', inf_engine( bnet ) ); + +% Default parameters +maximize = 0; +onodes = bnet.observed; + +% Optional parameters given by user +% engine = set( engine, varargin{ : } ); + +% Building of the junction tree +% ============================= + +% Elimination ordering +% -------------------- +% --- Verbose --- % +if b_verb + fprintf( 'Compute elimination constraints ...' ); + time_i_cur = datenum( clock ); +end +% --------------- % +porder = determine_elim_constraints( bnet, onodes ); +strong = ~isempty( porder ); +% --- Verbose --- % +if b_verb + time_f_cur = datenum( clock ); + time_cur_str = datestr( time_f_cur - time_i_cur, 'HH:MM:SS' ); + fprintf( ' [Done] - elapsed time = %s\n', time_cur_str ); +end +% --------------- % + + +% Moralization +% ------------ +% --- Verbose --- % +if b_verb + fprintf( 'Moralization ...' ); + time_i_cur = datenum( clock ); +end +% --------------- % +ns = bnet.node_sizes( : ); +ns( onodes ) = 1; % observed nodes have only 1 possible value +moral_graph = moralize( bnet.dag ); +% --- Verbose --- % +if b_verb + time_f_cur = datenum( clock ); + time_cur_str = datestr( time_f_cur - time_i_cur, 'HH:MM:SS' ); + fprintf( ' [Done] - elapsed time = %s\n', time_cur_str ); +end +% --------------- % + + +% Junction tree building +% ---------------------- +% --- Verbose --- % +if b_verb + fprintf( 'Building the junction tree ...' ); + time_i_cur = datenum( clock ); +end +% --------------- % +[ engine.jtree, root2, engine.cliques, B, w, elim_order ] = ... + graph_to_jtree( moral_graph, ns, porder, stages, clusters ); +% --- Verbose --- % +if b_verb + time_f_cur = datenum( clock ); + time_cur_str = datestr( time_f_cur - time_i_cur, 'HH:MM:SS' ); + fprintf( ' [Done] - elapsed time = %s\n', time_cur_str ); +end +% --------------- % + + +engine.cliques_bitv = B; +engine.clique_weight = w; +C = length( engine.cliques ); +engine.clpot = cell(1,C); + +% Separators computation +% ---------------------- + +% --- Verbose --- % +if b_verb + fprintf( 'Separators computation ...' ); + time_i_cur = datenum( clock ); +end +% --------------- % +% Compute the separators between connected cliques. +[ is, js ] = find( engine.jtree > 0 ); +engine.separator = cell( C, C ); +for k = 1:length( is ) + i = is( k ); j = js( k ); + % intersect(cliques{i}, cliques{j}); + engine.separator{ i, j } = find( B( i, : ) & B( j, : ) ); +end +% --------------- % +if b_verb + time_f_cur = datenum( clock ); + time_cur_str = datestr( time_f_cur - time_i_cur, 'HH:MM:SS' ); + fprintf( ' [Done] - elapsed time = %s\n', time_cur_str ); +end +% --------------- % + +% A node can be a member of many cliques, but is assigned to exactly one, to avoid +% double-counting its CPD. We assign node i to clique c if c is the "lightest" clique that +% contains i's family, so it can accomodate its CPD. + +engine.clq_ass_to_node = zeros(1, N); +for i=1:N + %c = clq_containing_nodes(engine, family(bnet.dag, i)); + % all selected columns must be 1 + clqs_containing_family = find( all( B( :, family( bnet.dag, i ) ), 2 ) ); + c = clqs_containing_family( ... + argmin( w( clqs_containing_family ) ) ); + engine.clq_ass_to_node( i ) = c; +end + +% Make the jtree rooted, so there is a fixed message passing order. +if strong + % the last clique is guaranteed to be a strong root + engine.root_clq = length( engine.cliques ); +else + % jtree_dbn_inf_engine requires the root to contain the interface. + % This may conflict with the strong root requirement! *********** BUG ************* + engine.root_clq = clq_containing_nodes( engine, root ); + if engine.root_clq <= 0 + error( [ 'no clique contains ' num2str( root ) ] ); + end +end + +[ engine.jtree, engine.preorder, engine.postorder ] = ... + mk_rooted_tree( engine.jtree, engine.root_clq ); + +% collect +engine.postorder_parents = cell( 1, length(engine.postorder ) ); +for n = engine.postorder( : )' + engine.postorder_parents{ n } = parents( engine.jtree, n ); +end +% distribute +engine.preorder_children = cell( 1, length( engine.preorder ) ); +for n = engine.preorder( : )' + engine.preorder_children{ n } = children( engine.jtree, n ); +end + +% --- Verbose --- % +if b_verb + time_f = datenum( clock ); + time_str = datestr( time_f - time_i, 'HH:MM:SS' ); + fprintf( 'Elapsed time = %s\n', time_str' ); + fprintf( '\\ ------------------------------- /\n' ); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [ b_verb, clusters, root, stages ] = jtree_inf_engine2_varargin_mgt( N, parent_varargin ) + +% Number of variable arguments +nb_varargin = length( parent_varargin ); + +% Default parameters +b_verb = 0; +clusters = {}; +root = N; +stages = { 1:N }; + +% Processing +for i = 1:2:nb_varargin + + arg_i = upper( parent_varargin{ i } ); + val_i = parent_varargin{ i + 1 }; + + switch arg_i + case upper( 'EngineVerbose' ) + b_verb = val_i; + case upper( 'Clusters' ) + clusters = val_i; + case upper( 'Root' ) + root = val_i; + case upper( 'Stages' ) + stages = val_i; + otherwise + end + +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function engine = init_fields() + +engine.jtree = []; +engine.cliques = []; +engine.separator = []; +engine.cliques_bitv = []; +engine.clique_weight = []; +engine.clpot = []; +engine.clq_ass_to_node = []; +engine.root_clq = []; +engine.preorder = []; +engine.postorder = []; +engine.preorder_children = []; +engine.postorder_parents = []; +engine.maximize = []; +engine.evidence = []; + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_family.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_family.m new file mode 100644 index 00000000..eff60ca2 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_family.m @@ -0,0 +1,11 @@ +function marginal = marginal_family(engine, i, add_ev) +% MARGINAL_FAMILY Compute the marginal on the specified family (jtree) +% marginal = marginal_family(engine, i) + +if nargin < 3, add_ev = 0; end +assert(~add_ev); + +bnet = bnet_from_engine(engine); +fam = family(bnet.dag, i); +c = engine.clq_ass_to_node(i); +marginal = pot_to_marginal(marginalize_pot(engine.clpot{c}, fam)); diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_nodes.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_nodes.m new file mode 100644 index 00000000..6413172c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/marginal_nodes.m @@ -0,0 +1,22 @@ +function marginal = marginal_nodes(engine, query, add_ev) +% MARGINAL_NODES Compute the marginal on the specified query nodes (jtree) +% marginal = marginal_nodes(engine, query, add_ev) +% +% 'query' must be a subset of some clique; an error will be raised if not. +% add_ev is an optional argument; if 1, we will "inflate" the marginal of observed nodes +% to their original size, adding 0s to the positions which contradict the evidence + +if nargin < 3, add_ev = 0; end + +c = clq_containing_nodes(engine, query); +if c == -1 + error(['no clique contains ' num2str(query)]); +end +marginal = pot_to_marginal(marginalize_pot(engine.clpot{c}, query, engine.maximize)); + +if add_ev + bnet = bnet_from_engine(engine); + %marginal = add_ev_to_dmarginal(marginal, engine.evidence, bnet.node_sizes); + marginal = add_evidence_to_gmarginal(marginal, engine.evidence, bnet.node_sizes, bnet.cnodes); +end + diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set.m new file mode 100644 index 00000000..2ade7cb2 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set.m @@ -0,0 +1,69 @@ +% === +% set +% === +% +% Description : +% ------------- +% +% Writing method for the class' attributes. +% +% Syntax : +% -------- +% +% obj = set( obj, attrib_name_1, val_1, ..., attrib_name_n, val_n ); +% +% Input(s) : +% ---------- +% +% obj - class inf_engine +% An instance of the class inf_engine +% +% > Optionals : 'attrib_name'/value form +% For details about the attribute's names, see the constructor +% (inf_engine.m) +% +% Output(s) : +% ----------- +% +% obj - class inf_engine +% The updated object +% +% Example(s) : +% ------------ +% +% obj = set( obj, 'attrib_1', val_1, ..., 'attrib_n', val_n ); +% +% Reference(s) : +% -------------- +% +% See also : +% ---------- +% +% inf_engine +% get +function [ engine ] = set( engine, varargin ) + +engine.inf_engine = set( engine.inf_engine, varargin{ : } ); + +% Processing +% Number of variable arguments +nb_varargin = length( varargin ); + +for i = 1:2:nb_varargin + + arg_i = upper( varargin{ i } ); + val_i = varargin{ i + 1 }; + + switch arg_i + case upper( 'maximize' ) + engine.maximize = val_i; + otherwise +% warning_str = [ 'inf_engine - set : attribute ' ... +% arg_i ' doesn''t exist' ]; + +% warning( warning_str ); + end + +end + +% End of function \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set_fields.m b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set_fields.m new file mode 100644 index 00000000..e75cfa45 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/@jtree_inf_engine2/set_fields.m @@ -0,0 +1,13 @@ +function engine = set_fields(engine, varargin) +% SET_FIELDS Set the fields for a generic engine +% engine = set_fields(engine, name/value pairs) +% +% e.g., engine = set_fields(engine, 'maximize', 1) + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'maximize', engine.maximize = args{i+1}; + end +end diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_EM.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_EM.m new file mode 100644 index 00000000..2dc14a2d --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_EM.m @@ -0,0 +1,383 @@ +function [bnet, order, BIC_score, LOGLIKE] = learn_struct_EM(bnet, samplesM, max_loop) +% LEARN_STRUCT_EM(), structural EM algorithm , learn structure and parameters +% from missing data. +% [bnet, order, BIC_score] = learn_struct_EM(bnet, samplesM, max_loop) + +tiny = exp(-700); +improve_factor = 0.001; %when current BIC score is less than old_score+old_score*improve_factor, stop search +N = length(bnet.dag); +ncases = size(samplesM, 2); +log_value = log(ncases); +ns = bnet.node_sizes; +dag = zeros(N,N); +order = zeros(1,N); %save the label of each node in current dag correspond to the original dag +order = 1:N; %original dag has nodes label 1:N +CPT = cell(2); %save the modified node's CPT of the bnet that has the highest score in an iteration + %in cases "del" and "add", there is only one CPT will be save, in "rev" need to save two CPTs. +update_samples = cell(N, ncases); %in this algorithm, because the label of the next dag will be different with the + %last dag, so the label of the trainning data will be modified, too + +loop = 0; +evidence = cell(1,N); +while looptail % now, the "ess" is in ascent manner, accord with the labels in the "domain" field. + n = length(ec{i}.domain); % need permute , so that "ess" contain the last dimension is about the "tail" node. + approx_ess = permute(approx_ess, [1:n-2, n, n-1]); % because there is only one "edge" modified, only need + end % to exchange the last two dimension if needed. + CPT1 = mk_stochastic(approx_ess); + + LL1 = LL; + d1 = d; + LL1(tail) = sum(log(CPT1(:) + tiny) .* approx_ess(:)); + d1(tail) = d(tail) * ns(head); + D1 = sum(d1); + bic_score(i) = sum(LL1) - 0.5 * D1 * log_value; + [a, j] = max(bic_score); + if j==i + CPT{1} = CPT1; + end + + case 'rev' % ops "rev" influent two family, equals the combination of a "del" and an "add" + % "del" an edge + head = edge(1); + tail = edge(2); + approx_ess = ec1{i}.counts; + CPT1 = mk_stochastic(approx_ess); + LL1 = LL; + LL1(tail) = sum(log(CPT1(:) + tiny) .* approx_ess(:)); + d1 = d; + d1(tail) = d(tail) / ns(head); + + % "add" an edge + head = edge(2); + tail = edge(1); + approx_ess = ec{i}.counts; + if head>tail % now, the "ess" is in ascent manner, accord with the labels in the "domain" field. + n = length(ec{i}.domain); % need permute , so that "ess" contain the last dimension is about the "tail" node. + approx_ess = permute(approx_ess, [1:n-2, n, n-1]); % because there is only one "edge" modified, only need + end % to exchange the last two dimension if needed. + CPT2 = mk_stochastic(approx_ess); + LL1(tail) = sum(log(CPT2(:) + tiny) .* approx_ess(:)); + d1(tail) = d(tail) * ns(head); + + D1 = sum(d1); + bic_score(i) = sum(LL1) - 0.5 * D1 * log_value; + [a, j] = max(bic_score); + if j==i + CPT{1} = CPT1; + CPT{2} = CPT2; + end + end + end + + [BIC_score, i] = max(bic_score); + temp = abs(bic_score0) * improve_factor; % search will be finish when the improvment of bic score + % less than 0.1% compare with the previous best result + if BIC_score > (bic_score0 + temp) + dag1 = nbrs{i}; % new best dag + order1 = orders{i}; % labels of each nodes altered from last iteration + + % the labels of each nodes are altered, so the "data" will need to "re-arrange" according to the new order + for j = 1:N + row = order1(j); + for k = 1:ncases + update_samples{j,k} = samplesM{row,k}; + end + end + samplesM = update_samples; + + dag = dag1(order1, order1); % "reshape" the best dag, make it as an "upper trianglar" + ns = ns(order1); % also must modify the order of "ns" + CPDs = bnet.CPD; + bnet = mk_bnet(dag, ns); % use the best dag now to produce a new bnet, with altered nodes labels + for j=1:N % randomly set the CPTs values of each CPDs + bnet.CPD{j} = tabular_CPD(bnet, j, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); + end + edge = nodes(i,:); + + % update the CPDs of new best bnet(dag) using corresponding CPDs of last iteration. + % copy the old CPTs that not altered. + % set the altered CPTs from the saved "CPT" variables + switch ops{i} + case 'del' + tail = edge(2); + tail = find(order1==tail); + bnet.CPD{tail} = set_fields(bnet.CPD{tail}, 'CPT', CPT{1}); + forbidden = [tail]; + bnet.CPD = copy_CPD(bnet.CPD, CPDs, order1, forbidden); + case 'add' + tail = edge(2); + tail = find(order1==tail); + bnet.CPD{tail} = set_fields(bnet.CPD{tail}, 'CPT', CPT{1}); + forbidden = [tail]; + bnet.CPD = copy_CPD(bnet.CPD, CPDs, order1, forbidden); + case 'rev' + head = edge(2); + head = find(order1==head); + bnet.CPD{head} = set_fields(bnet.CPD{head}, 'CPT', CPT{1}); + tail = edge(1); + tail = find(order1==tail); + bnet.CPD{tail} = set_fields(bnet.CPD{tail}, 'CPT', CPT{2}); + forbidden = [head, tail]; + bnet.CPD = copy_CPD(bnet.CPD, CPDs, order1, forbidden); + end + + % draw a graph for the new best dag with nodes labels are the same as the original + order = order(order1); +% labels = cellstr(int2str(order')); +% figure(loop+1); +% draw_graph(dag,labels); + + clear bic_score D d; % for each iteration, re-compute all the expected counts and bic score + clear ec ec1 LL; + clear nbrs ops nodes orders; + else + BIC_score = bic_score0; % if there is no improvement in bic score, stop the search, and return + break; + end +end +BIC_score + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [D,d]= compute_bnet_nparams(bnet) +% +% +N = length(bnet.dag); +d = zeros(1,N); +for i=1:N + a = struct(bnet.CPD{i}); + d(i) = a.nparams; +end +D = sum(d); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function newCPD = copy_CPD(newCPD, CPDs, order, forbidden) +%copy CPDs from old bnet to new bnet, except those nodes has been modified +% +N = length(order); +for i=1:N + if ~mysubset(i, forbidden) + a = order(i); + s = struct(CPDs{a}); + CPT = s.CPT; + newCPD{i} = set_fields(newCPD{i}, 'CPT', CPT); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [ec, ec1, LL] = compute_approx_ess(bnet, samplesM, ops, nodes) +%compute all neighbours' needed approximate ess based on current bnet. +% +tiny = exp(-700); +N = length(bnet.dag); +ns = bnet.node_sizes; +ncases = size(samplesM, 2); +nGs = length(ops); +ec0 = cell(1,N); +ec = cell(1, nGs); %store each neighbours' altered family's approximate ess. +ec1 = cell(1, nGs); %since operator 'rev' need to alter two families, ec1 store the ess of family deleted an edge +copy = zeros(1, nGs); +copy1 = zeros(1, nGs); +LL = zeros(1, N); %For current bnet, LL store each nodes's LogLike based on approximate ess. +for i =1:nGs + ec{i}.domain = []; + ec{i}.counts = []; + ec1{i}.domain = []; + ec1{i}.counts = []; +end +for i =1:N + parents = bnet.parents{i}; + family = [parents, i]; + ec0{i} = 0 * myones(ns(family)); +end +for i =1:nGs + edge = nodes(i, :); + switch ops{i} + case 'del' + head = edge(1); + tail = edge(2); + parents = bnet.parents{tail}; + parents = mysetdiff(parents, head); + domain = [parents, tail]; + copy(i) = find_same_domain(ec, domain, i); + ec{i}.domain = domain; + ec{i}.counts = 0 * myones(ns(domain)); + case 'add' + head = edge(1); + tail = edge(2); + parents = bnet.parents{tail}; + parents = [parents, head, tail]; + domain = sort(parents); + copy(i) = find_same_domain(ec, domain, i); + ec{i}.domain = domain; + ec{i}.counts = 0 * myones(ns(domain)); + case 'rev' + head = edge(1); + tail = edge(2); + parents = bnet.parents{tail}; + parents = mysetdiff(parents, head); + domain = [parents, tail]; + copy1(i) = find_same_domain(ec, domain, i); + ec1{i}.domain = domain; + ec1{i}.counts = 0 * myones(ns(domain)); + + head = edge(2); + tail = edge(1); + parents = bnet.parents{tail}; + parents = [parents, head, tail]; + domain = sort(parents); + copy(i) = find_same_domain(ec, domain, i); + ec{i}.domain = domain; + ec{i}.counts = 0 * myones(ns(domain)); + end +end + +engine = jtree_inf_engine(bnet); + +for l =1:ncases + evidence = samplesM(:, l); + [engine, ll] = enter_evidence(engine, evidence); + ns_eff = ns; + ns_eff(~isemptycell(evidence)) = 1; + Vmarg = cell(1,N); + for i =1:N + Vmarg{i} = marginal_nodes(engine, i); + end + for i = 1:N + parents = bnet.parents{i}; + family = [parents, i]; + nfamily = length(family); + Fmarg = []; + for j = 1:nfamily + Fmarg = multiply_one_marginal(Fmarg, Vmarg{family(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ec0{i} = ec0{i} + fullm.T; + end + + for i = 1:nGs + switch ops{i} + case 'del' + if ~copy(i) + domain = ec{i}.domain; + Fmarg = []; + for j=1:length(domain) + Fmarg = multiply_one_marginal(Fmarg, Vmarg{domain(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ec{i}.counts = ec{i}.counts + fullm.T; + end + case 'add' + if ~copy(i) + domain = ec{i}.domain; + Fmarg = []; + for j=1:length(domain) + Fmarg = multiply_one_marginal(Fmarg, Vmarg{domain(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ec{i}.counts = ec{i}.counts + fullm.T; + end + case 'rev' + if ~copy1(i) + domain = ec1{i}.domain; + Fmarg = []; + for j=1:length(domain) + Fmarg = multiply_one_marginal(Fmarg, Vmarg{domain(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ec1{i}.counts = ec1{i}.counts + fullm.T; + end + + if ~copy(i) + domain = ec{i}.domain; + Fmarg = []; + for j=1:length(domain) + Fmarg = multiply_one_marginal(Fmarg, Vmarg{domain(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ec{i}.counts = ec{i}.counts + fullm.T; + end + end + end + clear Vmarg; +end + +for i =1:nGs + if copy(i) + ec{i}.counts = ec{copy(i)}.counts; + end + if copy1(i) + ec1{i}.counts = ec{copy1(i)}.counts; + end +end + +for i=1:N + s = struct(bnet.CPD{i}); + counts = ec0{i}; + LL(i) = sum(log(s.CPT(:) + tiny) .* counts(:)); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function index = find_same_domain(ec, domain, length) +% +% +index = 0; +for i = 1:length + if isequal(domain, ec{i}.domain) + index = i; + break; + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_bnpc.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_bnpc.m new file mode 100644 index 00000000..bddce565 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_bnpc.m @@ -0,0 +1,725 @@ +function [Phase_3, Phase_2, Phase_1, UPhase_3] = learn_struct_bnpc(data,node_sizes,epsilon,star) +% G = learn_struct_bnpc(Data,node_sizes,epsilon,star) +% +% Data(i,m) is node i in case m. +% node_sizes and epsilon are optionnals. +% star = 0 to use try_to_separate_B instead of try_to_separate_B_star +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. +% +% Things to do : rewrite function orient_edges ! +% ! sometimes it causes crashes ! +% +% V0.91 : 18 sept 2003 (olivier.francois@insa-rouen.fr) + +verbose=1; +%if nargin < 5, mwst=0; end +if nargin < 4, star=1; end +if nargin < 3, epsilon=0.05; end +if nargin < 2, node_sizes=max(data'); end + +if verbose + fprintf('================== phase I : \n'); +end +tmp1=cputime; +[Phase_1 II JJ score_mat score_mat2] = phaseI(data, node_sizes, epsilon); +tmp1=cputime-tmp1; + +if verbose + fprintf('Execution time : %2.5f\n',tmp1); + fprintf('\n================== phase II : \n'); +end +tmp1=cputime; +Phase_2 = phaseII(Phase_1, data, node_sizes, epsilon, II, JJ, score_mat); +tmp1=cputime-tmp1; + +if verbose + fprintf('Execution time : %2.5f\n',tmp1); + fprintf('\n================== phase III : \n'); +end +tmp1=cputime; +[Phase_3 UPhase_3] = phaseIII(Phase_2, data, node_sizes, epsilon, score_mat2, star); +tmp1=cputime-tmp1; +if verbose + fprintf('Execution time : %2.5f\n',tmp1); +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [G, II, JJ, score_mat, sc2] = phaseI(data,node_sizes,alpha) +% [G, II , JJ, score_mat, s2] = phaseI(data,node_sizes,epsilon) +% +% G is an acyclic graph +% [II JJ] is the list of important edges not processed in phase I (for phase II) +% score_mat is the mutual information score matrix +% +% data(i,m) is node i in case m. +% alpha is the significant level for CI tests ( default=0.05 ). +% node_sizes is the vector of sizes ( default=max(data') ). +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +% 0. +if nargin < 3, alpha=0.05; end +if nargin < 2, node_sizes=max(data'); end +[N m] = size(data); +score_mat = zeros(N); +edges=0; + +% 1. +G = zeros(N); +L=[]; + +% 2. Use of Chi2 instead of MI ... allow using a confidence level alpha instead of an arbitrary epsilon +for i=1:(N-1) + for j=(i+1):N + [I score_mat(i,j)] = cond_indep_chisquare(i,j,[],data,'LRT',alpha,node_sizes); + end +end +sc2=score_mat; + + +[tmp ordre]=sort(-score_mat(:)); +ordre2=ordre(find(-tmp>alpha)); +[II JJ]=ind2sub([N N],ordre2); + +pointer=1 ; +fini=length(II); + +% 3. +edges=2; +for pointer=1:min(2,fini), + %fprintf('%d-%d\n',II(pointer),JJ(pointer)); + G(II(pointer),JJ(pointer))=1; + G(JJ(pointer),II(pointer))=1; + score_mat(II(pointer),JJ(pointer))=-inf; +end + +pointer=min(2,fini); +arret=0; + +while pointeralpha)); +[II JJ]=ind2sub([N N],ordre2); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function G = phaseII(G1,data,node_sizes,alpha,II, JJ, score_mat) +% G = phaseII(G1,data,node_sizes,epsilon,II,JJ, score_mat) +% +% G1, II, JJ,score_mat are given by phaseI. +% data(i,m) is node i in case m. +% node_sizes is the vector of sizes ( default=max(data') ). +% alpha is the significant level for CI tests ( default=0.05 ). +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +st{1}='added'; +st{2}=''; +% 0. +[N m] = size(data); + +G=G1; + +% 6. +II=II(end:-1:1); +JJ=JJ(end:-1:1); + +pointer=length(II); + +while pointer>0 + % 7. + trysep = try_to_separate_A(G,II(pointer),JJ(pointer),data,alpha,node_sizes); + %fprintf('Try to separate %d and %d : %s\n',II(pointer),JJ(pointer),st{trysep+1}); + if ~trysep + G(II(pointer),JJ(pointer))=1; + G(JJ(pointer),II(pointer))=1; + %fprintf('%d-%d\n',II(pointer),JJ(pointer)); + end + % 8. + pointer=pointer-1; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [G,U] = phaseIII(G1,data,node_sizes,alpha,s2,star) +% [G] = phaseIII(G1,data,node_sizes,alpha,s2,star) +% +% data(i,m) is node i in case m. +% if star~=0, use try_to_separate_B_star instead of try_to_separate_B (default star=1). +% G is the non-oriented graph and G1 the oriented result. +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +% 0. +if nargin < 2, disp('Not enough arguments');return; end +if nargin < 3, node_sizes=max(data'); end +if nargin < 4, alpha = 0.05; end +if nargin < 5, star=1; end +G=G1; +N=length(G); +% reachability_matrix of G +M = expm(full(G)) - eye(length(G)); M = (M>0); + +% 9. +fprintf('Thinning - separateA\n'); + +% Edges are examined in the inverse order of their Chi2 (or MI) score +s2(find(~G))=0; +[tmp ordre]=sort(s2(:)); +ordre2=ordre(find(tmp>0)); +[I J]=ind2sub([N N],ordre2); +ii=1:length(I); +for i=ii, + %fprintf('%d-%d : ',I(i),J(i)); + G(I(i),J(i))=0; + G(J(i),I(i))=0; + trysep = try_to_separate_A(G,I(i),J(i),data,alpha,node_sizes); + + if ~trysep, + G(I(i),J(i))=1; + G(J(i),I(i))=1; + %fprintf(' keep\n'); + %else + %fprintf('delete\n'); + end +end + +% 10. +fprintf('Thinning - separateB'); if star; fprintf('star'); end; fprintf('\n'); +s2(find(~G))=0; +[tmp ordre]=sort(s2(:)); +ordre2=ordre(find(tmp>0)); +[I J]=ind2sub([N N],ordre2); +ii=1:length(I); +for i=ii, + %fprintf('%d-%d : ',I(i),J(i)); + G(I(i),J(i))=0; G(J(i),I(i))=0; + if star==0 + trysep = try_to_separate_B(G,I(i),J(i),data,node_sizes,alpha); + else + trysep = try_to_separate_B_star(G,I(i),J(i),data,node_sizes,alpha); + end + if ~trysep, + G(I(i),J(i))=1; G(J(i),I(i))=1; + %fprintf(' keep\n'); + %else + %fprintf('delete\n'); + end +end + +%11. +fprintf('Thinning - orient_edges\n'); +U=G; +G=orient_edges(U,data,node_sizes,alpha); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [I, N1, N2] = try_to_separate_A(G,node1,node2,data,alpha,node_sizes) +% [I, N1, N2] = try_to_separate_A(G,node1,node2,data,alpha,node_sizess) +% +% G is the current partially directed graph. +% I is a boolean : I=1 <==> separated. +% N1 : neighbors of node1 that are on an adjacency path between node1 and node2 (ditto for N2). +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +% 0. +if node1==node2 | length(G)<2 + disp('Error: Check your arguments in try_to_separate_A.');I=0; return +end +N=size(data,1); +if nargin==4, alpha=0.05; node_sizes=max(data'); end +if nargin==5, node_sizes=max(data'); end + +% 1. +N1=find(G(node1,:)==1);N01=N1; +GG1=G(setdiff(1:N,node1),setdiff(1:N,node1)); +node22=node2-(node2>node1); +% reachability_matrix of GG1 +M = expm(full(GG1)) - eye(length(GG1)); M = (M>0); +% N1 is the neighbors of node1 that are on the adjacency between node1 and node2 +for i=N1 + j=i-(i>node1); + if M(j,node22)~=1, N01=setdiff(N01,i); N1=setdiff(N1,i); end + % 2. + if ~G(node1,i), N1=setdiff(N1,i); end +end + +N2=find(G(node2,:)==1);N02=N2; +GG2=G(setdiff(1:N,node2),setdiff(1:N,node2)); +node12=node1-(node20); +% N2 is the neighbors of node2 that are on the adjacency between node1 and node2 +for i=N2 + j=i-(i>node2); + if M(node12,j)~=1, N02=setdiff(N02,i); N2=setdiff(N2,i); end + % 2. + if ~G(node2,i), N2=setdiff(N2,i); end +end + +%fprintf('%d : N1=',node1); fprintf('%d',N1); fprintf('\n'); +%fprintf('%d : N2=',node2); fprintf('%d',N2); fprintf('\n'); +% 3. +if length(N1)>length(N2), tmp=N1; N1=N2; N2=tmp; clear tmp, end +% 4. +C=N1; +for test=1:2 + if test==2, C=N2; end + % 5. + [I v1] = cond_indep_chisquare(node1,node2,C,data,'LRT',alpha,node_sizes); + if I, %fprintf('%d-%d separated (%2.5f) by C=',node1,node2,v1); fprintf('%d',C); fprintf('\n'); + return, + %else + %fprintf('%d-%d not separated (%2.5f) by C=',node1,node2,v1); fprintf('%d',C); fprintf('\n'); + end; + + + % 6. + step6=1; + while step6 + step6=0; + if length(C)>=1 + v=[]; + for i=C + Ci = setdiff(C,i); + [I(i) v(i)] = cond_indep_chisquare(node1,node2,Ci,data,'LRT',alpha,node_sizes); + end + [vm ind] = min(v); + + % 7. + if I(ind) + I = 1; return + else + if vm < v1 + v1 = vm; + C = setdiff(C,ind); + % goto step 6. + step6 = 1; + end + end + end + + % 8. + if test==2, I=0; return, end + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function I = try_to_separate_B(G,node1,node2,data,node_sizes,alpha,N1,N2) +% I = try_to_separate_B(G,node1,node2,data,node_sizes,epsilon,N1,N2) +% +% G is the current partially directed graph. +% data(i,m), node i in case m. +% node_sizes is the vector of size of the attributs in data ( default max(data') ) +% N1 (optionnal) is the neighbors of node1 that are on an adjacency path between node1 and node2 (ditto for N2). +% I is a boolean : I+1 <==> separated. +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +% 0. +if node1==node2 | length(G)<2 + disp('Error: Verify your arguments in try_to_separate_B.');I=0; return +end +if nargin < 4, + disp('Error : not enougth arguments'); I=0; return; +end +N=size(data,1); + +% 1. +if nargin < 8 + N1=find(G(node1,:)==1); + GG1=G(setdiff(1:N,node1),setdiff(1:N,node1)); + node22=node2-(node2>node1); + M = expm(full(GG1)) - eye(length(GG1)); M = (M>0); + for i=N1 + j=i-(i>node1); + if M(j,node22)~=1, N1=setdiff(N1,i); end + end + N2=find(G(node2,:)==1); + GG2=G(setdiff(1:N,node2),setdiff(1:N,node2)); + node12=node1-(node20); + for i=N2 + j=i-(i>node2); + if M(node12,j)~=1, N2=setdiff(N2,i); end + end +end +if nargin < 6, alpha=0.05; end +if nargin < 5, node_sizes=max(data'); end +M = expm(full(G)) - eye(length(G)); M = (M>0); + +% 2. +N1b=[]; +for i=N1 + NN1=find(G(i,:)==1); + for j=NN1 + if M(i,j)~=1 & ~ismember(j,N1), N1b=union(N1b,j); end + end +end + +% 3. +N2b=[]; +for i=N2 + NN2=find(G(i,:)==1); + for j=NN2 + if M(i,j)~=1 & ~ismember(j,N2), N2b=union(N2b,j); end + end +end + +% 4. +if length(union(N1,N1b)) < length(union(N2,N2b)) + C=union(N1,N1b); +else + C=union(N2,N2b); +end + +% 5. +continu=1; +while continu + l=length(C); + %fprintf('%d',continu); + [I v] = cond_indep_chisquare(node1,node2,C,data,'LRT',alpha,node_sizes); + if I==1; return, elseif l<2, I=0; return, end + + % 6. + Cb=C; + for i=1:l + Ci=setdiff(C,C(i)); + [I vi] = cond_indep_chisquare(node1,node2,Ci,data,'LRT',alpha,node_sizes); + e = (v+1)/3; % e is a small value... + if I==1,return, elseif vinode1); + M = expm(full(GG1)) - eye(length(GG1)); M = (M>0); + for i=N1 + j=i-(i>node1); + if M(j,node22)~=1, N1=setdiff(N1,i); end + % 2. + if ~G(node1,i), N1=setdiff(N1,i); end + end + N2=find(G(node2,:)==1); + GG2=G(setdiff(1:N,node2),setdiff(1:N,node2)); + node12=node1-(node20); + for i=N2 + j=i-(i>node2); + if M(node12,j)~=1, N2=setdiff(N2,i); end + % 2. + if ~G(node2,i), N2=setdiff(N2,i); end + end +end +if nargin < 6, alpha=0.05; end +if nargin < 5, node_sizes=max(data'); end + +% 3. +if length(N1)>length(N2), tmp=N1; N1=N2; N2=tmp; end + +% 4. +C=N1; +l=length(C); +I=0; + +% 5. +for test=1:2 + continu=1; + %test + if test==2 & ~isempty(N2) + C=N2; l=length(C); IsInCi=zeros(1,l); IsInCi(l)=1; + else IsInCi=zeros(1,l); + end + s=ones(1,l); + % Pour tous les sous-ensemble Ci de C : + while continu & ~isempty(C) + Ci = setdiff(C.*IsInCi,0); + [I vi] = cond_indep_chisquare(node1,node2,Ci,data,'LRT',alpha,node_sizes); + if I, %fprintf('%d-%d separated (%2.5f) by C=',node1,node2,vi); fprintf('%d',Ci); fprintf('\n'); + return, + %else + %fprintf('%d-%d not separated (%2.5f) by C=',node1,node2,vi); fprintf('%d',Ci); fprintf('\n'); + end; + % if I, return, end + + if IsInCi==s, continu=0; + else + IsInCi(l)=IsInCi(l)+1; + + notOK=1; i=l; + while notOK & i>1 + if IsInCi(i)>s(i), IsInCi(i)=0; IsInCi(i-1)=IsInCi(i-1)+1; else notOK=0; end + i=i-1; + end + end + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function G1 = orient_edges(G,data,node_sizes,alpha) +% G1 = orient_edges(G,data,node_sizes) +% +% G is the partially directed graph. +% data(i,m), node i in case m. +% node_sizes is the vector of size of the attributs in data ( default max(data') ) +% +% see "Learning bayesian Networks from Data: A Efficient Approach Based on Information Theorie" +% Jie Cheng, David Bell and Weird Liu. + +% 0. +if nargin < 4, alpha=0.05; end +if nargin < 3, node_sizes=max(data'); end +if nargin < 2, disp(' Require at least two arguments.'); return, end +N=length(G); +G1=G; + +% 1. +[Lnode1 Lnode2]=find(triu(1-triu(G),1)); %[Lnode1 Lnode2]=ind2sub([N N],find(triu(1-triu(G),1))); +for ii = 1:length(Lnode1), + node1=Lnode1(ii); + node2=Lnode2(ii); + %fprintf('%d %d\n',node1,node2); + N1 = find(G(node1,:)==1); + N2 = find(G(node2,:)==1); + if ~isempty(intersect(N1,N2)) + %fprintf('V1='); fprintf('%d ',N1); fprintf('\n'); + %fprintf('V2='); fprintf('%d ',N2); fprintf('\n'); + GG1 = G(setdiff(1:N,node1),setdiff(1:N,node1)); + node22 = node2-(node2>node1); + % reachability_matrix of GG1 + M = expm(full(GG1)) - eye(length(GG1)); M = (M>0); + % N1 is the neighbors of node1 that are on the adjacency between node1 and node2 + for i = N1 + j = i-(i>node1); + if M(j,node22)~=1, N1=setdiff(N1,i); + end + end + GG2 = G(setdiff(1:N,node2),setdiff(1:N,node2)); + node12 = node1-(node20); + % N2 is the neighbors of node2 that are on the adjacency between node1 and node2 + for i=N2 + j = i-(i>node2); + if M(node12,j)~=1, N2=setdiff(N2,i); end + end + %fprintf('%d %d\n',node1,node2); + %fprintf('N1='); fprintf('%d ',N1); fprintf('\n'); + %fprintf('N2='); fprintf('%d ',N2); fprintf('\n'); + + % 2. + M = expm(full(G)) - eye(length(G)); M = (M>0); + N1b=N1; + for i=N1 + NN1 = find(G(i,:)==1); + for j=NN1 + if M(i,j)~=1 & ~ismember(j,N1), N1b=union(N1b,j); end + end + end + %fprintf('N1''='); fprintf('%d ',N1b); fprintf('\n'); + + % 3. + N2b=N2; + for i=N2 + NN2 = find(G(i,:)==1); + for j=NN2 + if M(i,j)~=1 & ~ismember(j,N2), N2b=union(N2b,j); end + end + end + %fprintf('N2''='); fprintf('%d ',N2b); fprintf('\n'); + + % 4. + if length(N1b) < length(N2b) + C = N1b; + else + C = N2b; + end + %l=length(C); + %fprintf('C='); fprintf('%d ',C); fprintf('\n'); + + % 7. + step5=1; + while step5 + step5=0; + %fprintf('.'); + % 5. + l=length(C); + [I v] = cond_indep_chisquare(node1,node2,C,data,'LRT',alpha,node_sizes); + %fprintf('C='); fprintf('%d ',C); + %fprintf(': %d %2.5f\n',I,v); + + step8=0; + if I==1 & v~=0 % v < epsilon + step8=1; + else + if l==1 + G1(C,node1)=0; G1(C,node2)=0; + fprintf('%d -> %d <- %d\n',node1,C,node2); + step8=1; + end + end + %fprintf('%d\n',step8); + + % 6. + if ~step8 + Cb=C; + for i=1:l + Ci=setdiff(C,C(i)); + [I vi] = cond_indep_chisquare(node1,node2,Ci,data,'LRT',alpha,node_sizes); + % e = (v+1)/3; % e is a small value... + if I==1 % vi < v+e + Cb=setdiff(Cb,C(i)); + if ismember(C(i),N1) & ismember(C(i),N2) + G1(C(i),node1)=0; G1(C(i),node2)=0; + fprintf('%d -> %d <- %d\n',node1,C(i),node2); + end + if I==1 % vi < epsilon + step8=1; + end + end + end % for + end % if + + % 7. + if ~step8 + if length(Cb) < length(C), C=Cb; end + if length(C) > 0, step5==1; end + end + end % while step5 + % step8 : passer � la paire de noeud suivant + %fprintf('\n'); + %else + %fprintf(' No common neighbor\n'); + end % if +end % for + +% 11. +step9=0; +fprintf('Infering directions '); +test = pdag_to_dag(G1); +while ~isdag(test) %& step9 %d ... \n',a,b); + if G1(b,c)==1 & G1(c,b)==1 + if G1(a,c)+G1(c,a)==0, + G1(c,b)=0; + fprintf('%d -> %d (9)\n',b,c); + end + end + end + end + end, end, end + + % 10. + for a=1:N-1, for b=a+1:N + if G1(a,b)==1 & G1(b,a)==1 + GGG1=xor(G1,G1'); % matrice des arcs orient�s de G1 + M = expm(full(GGG1)) - eye(length(GGG1)); M = (M>0); + if M(a,b)==1, + G1(b,a)=0; + fprintf('%d -> %d (10)\n',a,b); + end + end + end, end + + test = pdag_to_dag(G1); + if isempty(test), G1=return_one_edge(G1); end + %else + % G1, return, + %end +end % while 11. +G1 = pdag_to_dag(G1); +fprintf('%d boucles\n',step9); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function b = isdag(G) +b = sum(sum(G.*G')); % How many undirected arcs ? (x2) +b=~b & ~isempty(G); +if b + M = expm(full(G)) - eye(length(G)); M = (M>0); + b = b & find(sum(sum(eye(length(G)).*M))); % is there no cycle ? +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function G=return_one_edge(G) +N=length(G); fam=[]; node2=[]; +permnode = randperm(5); i=0; %fprintf('rev\n'); +while isempty(fam) | isempty(node2) | i==N + i=i+1; + node = permnode(i); %node = ceil(rand(1)*N); + fam=find(G(node,:)==1); + par=find(G(:,node)==1); + fam = myunion(fam, par); + if ~isempty(fam) + node2 = fam(ceil(rand(1)*length(fam))); + par2=find(G(:,node)==1); + if ~isempty(intersect(par2, node)), node2=[]; end + end +end +if isempty(myintersect(node, par2)), + G(node, node2)=0; + G(node2, node)=1; + fprintf('%d -> %d (Rev)\n',node, node2); +else + G(node, node2)=1; + G(node2, node)=0; + fprintf('%d -> %d (Rev)\n',node2, node); +end diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_ges.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_ges.m new file mode 100644 index 00000000..e985195e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_ges.m @@ -0,0 +1,122 @@ +function [cpdag, best_score, cache] = learn_struct_ges(data, nodesizes, varargin) +% +% LEARN_STRUCT_GES learns a structure of Bayesian net by Greedy Equivalence Search. +% cpdag = learn_struct_ges(Data, Nodesizes, 'cache', cache, 'scoring_fn', 'bic', 'verbose', 'yes') +% +% cpdag: the final cpdag +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% cache : data structure used to memorize local score computations +% (cf. SCORE_INIT_CACHE function) +% +% V1.1 : 28 july 2003 (Ph. Leray - philippe.leray@univ-nantes.fr, O. francois - francois.olivier.c.h@gmail.com) +% +% Ref: +% Optimal Structure Identification with Greedy Search, Chickering 2002 +% + +[N ncases] = size(data); +seeddag = zeros(N,N); + +% set default params +scoring_fn = 'bayesian'; +verbose = 0; +cache=[]; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + case 'cache', cache=args{i+1} ; + end; + end; + end; +end; + +if verbose + names=cellstr(int2str((1:N)')); + carre=zeros(N,1); +end + +done = 0; +[best_score cache] = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn,'cache',cache); +cptt=0; + +% First step : INSERT +while ~done + cptt=cptt+1; + [pdags,nodes] = mk_nbrs_of_pdag_add(seeddag); + seedold=seeddag; + sold=best_score; + nbrs = length(pdags); + dags=pdag_to_dag(pdags); + [scores cache] = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn,'cache',cache); + max_score = max(scores); + new = find(scores == max_score ); + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dag_to_cpdag(dags{new(p)}); + new=new(p); + if verbose + figure; + subplot(1,2,1), [xx yy]=draw_graph(seedold,names,carre); + set(gca,'color',[1 1 0]); + title(sprintf('current CPDAG (Smax=%5.2f)',sold)); + subplot(1,2,2), draw_graph(seeddag,names,carre,xx,yy); + s=sprintf(' %d',nodes{new,3}); + title([sprintf('Best in N+ = INSERT(%d, %d,',nodes{new,1},nodes{new,2}) s ')' sprintf(' S=%5.2f',max_score)]); + drawnow; + end + + else + done = 1; + end + +end; + +done = 0; +%[best_score cache] = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn,'cache',cache); +cptt=0; + +if sum(sum(seeddag))==0, done=1;end + +% Second step : DELETE +while ~done + cptt=cptt+1; + [pdags,nodes] = mk_nbrs_of_pdag_del(seeddag); + seedold=seeddag; sold=best_score; + nbrs = length(pdags); + dags=pdag_to_dag(pdags); + [scores cache] = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn,'cache',cache); + max_score = max(scores); + new = find(scores == max_score ); + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dag_to_cpdag(dags{new(p)}); + new=new(p); + if verbose + cpdags=dag_to_cpdag(dags); + figure; + subplot(1,2,1), [xx yy]=draw_graph(seedold,names,carre); + set(gca,'color',[1 1 0]); + title(sprintf('current CPDAG (Smax=%5.2f)',best_score)); + subplot(1,2,2), draw_graph(seeddag,names,carre,xx,yy); + s=sprintf('%d',nodes{new,3}); + title([sprintf('Best in N- = DELETE(%d, %d,',nodes{new,1},nodes{new,2}) s ')' sprintf(' S=%5.2f',max_score)]); + drawnow; + end + + else + done = 1; + end + +end + +cpdag = seeddag; diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_ges_EM.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_ges_EM.m new file mode 100644 index 00000000..a4c340e7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_ges_EM.m @@ -0,0 +1,423 @@ +function [bnet,cpdag,BIC_score,nloop] = learn_struct_ges_EM(bnet, data, max_loop, loop_em) +% GES_EM algorithm, learn Bayesian network equivalence classes from incomplete data. +% [bnet,cpdag,BIC_score,nloop] = learn_struct_ges_EM(bnet, data, max_loop) +% +% 2/11/2006: hanene.borchani@gmail.com, francois.olivier.c.h@gmail.com + +[N ncases] = size(data); +ns = bnet.node_sizes; +cpdag = dag_to_cpdag(bnet.dag); +order=zeros(1,N); +order=1:N; +tiny = exp(-700); +improve_factor = 0.001; %stop search if the current expected BIC score is less than old_score+old_score*improve_factor, +log_value = log(ncases); +update_samples = cell(N, ncases); +loop = 0; +converged = 0; +if nargin<4, loop_em=6; end + +% First phase : INSERT +while ~converged & loop < max_loop + loop=loop+1; + + fprintf('\n Loop INSERT number %d \n\n', loop); + engine = jtree_inf_engine(bnet); + [bnet, LOGLIKE] = learn_params_em(engine, data, loop_em); + + for i=1:N + s = struct(bnet.CPD{i}); + counts = s.counts(:); + ll(i) = sum(log(s.CPT(:) + tiny) .* counts); + end + [D,d] = compute_bnet_nparams(bnet); + + [pdags,nodes] =mk_nbrs_of_pdag_add(cpdag,engine); %generate the neighbors of the current network + nbrs = length(pdags); + if nbrs==0 + break; + end + dags = pdag_to_dag(pdags); %extract the set of consistent extensions + nbrs_dags = length(dags); + + if nbrs_dags==0 + disp('The number of consistent extensions of the pdags neighbors is equal to 0'); + break; + else + c=0; + for k=1:nbrs + if ~isempty(dags{k}) + c=c+1; + cdags{c}=dags{k}; + cnodes(c,:) = nodes(k,:); + end + end + if c==0 + fprintf('There is no consistent extension'); + break; + end + end + + [ess,LL] = compute_ess(bnet,data,cdags); %compute the estimations for all consistent extensions based on the current bnet + bic_score0 = sum(LL); + bic_score0 = bic_score0 - 0.5 * D * log_value; %expected BIC score of the current bnet + fprintf('The expected BIC score of the current bnet, bic_score0 =%8.3f \n', bic_score0); + bic_score = -inf*ones(1,c); + + for i=1:c %compute the expected BIC score of each consistent extension neighbor + for compt=1:N + new_CPT{i,compt}=[]; + end + new_LL = LL; + new_d=d; + for num=1:N + if ~isempty(ess{i,num}) %consider only nodes whose parent set has been changed + par= mysetdiff(ess{i,num}.domain, num); + new_d(num)= prod([ns(par) ns(num)-1]); %compute the new dimension of each node + approx = ess{i,num}.counts; + indnum = find(ess{i,num}.domain > num); + ldom=length(ess{i,num}.domain); + lindnum = length(indnum); + if lindnum>0 + approx = permute(approx, [1:ldom-lindnum-1, indnum(1):ldom, indnum(1)-1]); + end + new_CPT{i,num} = mk_stochastic(approx); + new_LL(num) = sum(log(new_CPT{i,num}(:) + tiny) .* approx(:)); %compute the new LL of each node + end + end + new_D = sum(new_d); + bic_score(i) = sum(new_LL) - 0.5 * new_D * log_value; %deduce the expected BIC score of each neighbor + [a, j] = max(bic_score); + end + + [BIC_score, best] = max(bic_score); + fprintf('End computing of the expected BIC scores of all neighbors, the maximal one is Bic_score =%8.3f \n', BIC_score); + temp = abs(bic_score0) * improve_factor; %search will finish when the improvment of the expected BIC score is less than 0.1% compare with the previous best result + + if BIC_score > (bic_score0 + temp) + best_dag = cdags{best}; + new_order=topological_sort(best_dag); + for j = 1:N + row = new_order(j); + for k = 1:ncases + update_samples{j,k} = data{row,k}; + end + end + data = update_samples; + + forbidden=[]; + reversed =[]; + for j=1:N + old_parents= sort((find(bnet.dag(:,j)==1))'); + new_parents= sort((find(best_dag(:,j)==1))'); + if ~isequal(new_parents,old_parents) + reversed =[reversed,j]; + end + end + + new_dag = best_dag(new_order, new_order); %reshape the best DAG according to new_order + ns = ns(new_order); %modify the order of ns + CPDs = bnet.CPD; + bnet = mk_bnet(new_dag, ns); %make the new best BN structure + + %randomly set the CPD values of each node + for j=1:N + bnet.CPD{j} = tabular_CPD(bnet, j, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); + end + + lreversed= length(reversed); + if lreversed ~=0 + for r=1:lreversed %update the CPDs of nodes whose parent set has been altered using the saved new_CPT + reverse=find(new_order==reversed(r)); + forbidden=[forbidden,reverse]; + bnet.CPD{reverse} = set_fields(bnet.CPD{reverse}, 'CPT', new_CPT{best,reversed(r)}); + end + end + + bnet.CPD = copy_CPD(bnet.CPD, CPDs, new_order, forbidden); %copy the CPDs of remaining nodes from CPDs + + cpdag = dag_to_cpdag(bnet.dag); %get the best equivalence class + + clear bic_score D d new_D new_d; %new computations for each iteration + clear ess LL new_LL new_CPT; + clear pdags dags cdags nodes cnodes; + else + fprintf('No improvement of the expected bic score: End of add phase \n \n'); + BIC_score = bic_score0; + converged=1; + end +end + +nloop=loop; + +loop=0; +converged=0; + +if sum(sum(cpdag))==0, converged=1; else cpdag, end + +% Second phase : Delete + fprintf('Start of delete phase \n '); + while ~converged & loop < max_loop + loop=loop+1; + fprintf('\n Loop DELETE number %d \n\n', loop); + engine = jtree_inf_engine(bnet); + [bnet, LOGLIKE] = learn_params_em(engine, data, loop_em); + for i=1:N + s = struct(bnet.CPD{i}); + counts = s.counts(:); + ll(i) = sum(log(s.CPT(:) + tiny) .* counts); + end + + [D,d] = compute_bnet_nparams(bnet); + + [pdags,nodes] = mk_nbrs_of_pdag_del(cpdag,engine); %generate the neighbors of the current network + nbrs = length(pdags); + if nbrs==0 + disp('The number of pdag neighbors is equal to 0'); + break; + end + + dags = pdag_to_dag(pdags); %extract the set of consistent extensions + nbrs_dags = length(dags); + if nbrs_dags==0 + disp('The number of consistent extensions of the pdag neighbors is equal to 0'); + break; + else + c=0; + for k=1:nbrs + if ~isempty(dags{k}) + c=c+1; + cdags{c}=dags{k}; + cnodes(c,:) = nodes(k,:); + end + end + if c==0 + fprintf('There is no consistent extension'); + return; + end + end + + [ess,LL] = compute_ess(bnet, data,cdags); %compute the estimations for all consistent extensions based on the current bnet + bic_score0 = sum(LL); + bic_score0 = bic_score0 - 0.5 * D * log_value; %expected BIC score of the current bnet + fprintf('The expected BIC score of the current bnet, bic_score0 =%8.3f \n', bic_score0); + bic_score = -inf*ones(1,c); + + for i=1:c %Compute the Expected BIC score for each consistent extension neighbor + for compt=1:N + new_CPT{i,compt}=[]; + end + new_LL = LL; + new_d=d; + for num=1:N + if ~isempty(ess{i,num}) %consider only nodes whose parent set has been changed + par= mysetdiff(ess{i,num}.domain, num); + new_d(num)= prod([ns(par) ns(num)-1]); %compute the new dimension of each node + approx = ess{i,num}.counts; + indnum = find(ess{i,num}.domain > num); + ldom=length(ess{i,num}.domain); + lindnum = length(indnum); + if lindnum>0 + approx = permute(approx, [1:ldom-lindnum-1, indnum(1):ldom, indnum(1)-1]); + end + new_CPT{i,num} = mk_stochastic(approx); + new_LL(num) = sum(log(new_CPT{i,num}(:) + tiny) .* approx(:)); %compute the new LL of each node + end + end + new_D = sum(new_d); + bic_score(i) = sum(new_LL) - 0.5 * new_D * log_value; %deduce the expected BIC score of each neighbor + end + + [BIC_score, best] = max(bic_score); + fprintf('End computing of the expected BIC scores of all neighbor, the maximal one is Bic_score =%8.3f \n', BIC_score); + temp = abs(bic_score0) * improve_factor; + + if BIC_score > (bic_score0 + temp) + best_dag = cdags{best}; + new_order=topological_sort(best_dag); + for j = 1:N + row = new_order(j); + for k = 1:ncases + update_samples{j,k} = data{row,k}; + end + end + data = update_samples; + + forbidden=[]; + reversed =[]; + for j=1:N + old_parents= sort((find(bnet.dag(:,j)==1))'); + new_parents= sort((find(best_dag(:,j)==1))'); + if ~isequal(new_parents,old_parents) + reversed =[reversed,j]; + end + end + + new_dag = best_dag(new_order, new_order); %reshape the best DAG according to new_order + ns = ns(new_order); %modify the order of ns + CPDs = bnet.CPD; + + bnet = mk_bnet(new_dag, ns); %make the new best BN structure + %randomly set the CPD values of each node + for j=1:N + bnet.CPD{j} = tabular_CPD(bnet, j, 'prior_type', 'dirichlet', 'dirichlet_weight', 0); + end + + lreversed= length(reversed); + if lreversed ~=0 + for r=1:lreversed %update the CPDs of nodes whose parent set has been altered using the saved new_CPT + reverse=find(new_order==reversed(r)); + forbidden=[forbidden,reverse]; + bnet.CPD{reverse} = set_fields(bnet.CPD{reverse}, 'CPT', new_CPT{best,reversed(r)}); + end + end + + bnet.CPD = copy_CPD(bnet.CPD, CPDs, new_order, forbidden); %copy the CPDs of remaining nodes from CPDs + + cpdag = dag_to_cpdag(bnet.dag); %get the best equivalence class + + clear bic_score D d new_D new_d; % new computations for each iteration + clear ess LL new_LL new_CPT; + clear pdags dags cdags nodes cnodes; + else + fprintf('No improvement of the expected bic score : End of delete phase \n \n'); + BIC_score = bic_score0; + converged=1; + end +end + +cpdag + +nloop=nloop+loop; %total iteration number + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [D,d]= compute_bnet_nparams(bnet) +N = length(bnet.dag); +d = zeros(1,N); + for i=1:N + a = struct(bnet.CPD{i}); + d(i) = a.nparams; + end +D = sum(d); +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [ess, LL] = compute_ess(bnet, samplesM, dags) +%compute the estimations for all consistent extensions based on the current bnet +tiny = exp(-700); +N = length(bnet.dag); +ns = bnet.node_sizes; +ncases = size(samplesM, 2); +ess0 = cell(1,N); +LL = zeros(1, N); +nbrs= length(dags); +copy=zeros(nbrs,N); + +for i =1:nbrs + for x=1:N + ess{i,x}=[]; + end +end + +for i =1:N + parents = bnet.parents{i}; + family = [parents, i]; + ess0{i} = 0 * myones(ns(family)); +end + +for i =1:nbrs + neighbor=dags{i}; + for j=1:N + old_parents = sort((find(bnet.dag(:,j)==1))'); + new_parents = sort((find(neighbor(:,j)==1))'); + if ~isequal(new_parents,old_parents) + domain = sort(myunion(new_parents, j)); + copy(i,j)= find_same_domain(ess,j,domain,i); + ess{i,j}.domain = domain; + ess{i,j}.counts = 0 * myones(ns(domain)); + end + end +end + +engine = jtree_inf_engine(bnet); + +for l =1:ncases + evidence = samplesM(:, l); + [engine, ll] = enter_evidence(engine, evidence); + ns_eff = ns; + ns_eff(~isemptycell(evidence)) = 1; + Vmarg = cell(1,N); + for i =1:N + Vmarg{i} = marginal_nodes(engine, i); + end + for i = 1:N + parents = bnet.parents{i}; + family = [parents, i]; + nfamily = length(family); + Fmarg = []; + for j = 1:nfamily + Fmarg = multiply_one_marginal(Fmarg, Vmarg{family(j)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ess0{i} = ess0{i} + fullm.T; + end + + for i = 1:nbrs + for j=1:N + if ~isempty(ess{i,j}) + if ~copy(i,j) + domain = ess{i,j}.domain; + Fmarg = []; + for compteur=1:length(domain) + Fmarg = multiply_one_marginal(Fmarg, Vmarg{domain(compteur)}, ns_eff); + end + fullm = add_ev_to_dmarginal(Fmarg, evidence, ns); + ess{i,j}.counts = ess{i,j}.counts + fullm.T; + end + end + end + end + clear Vmarg; +end + +for i = 1:nbrs + for j=1:N + if copy(i,j) + ess{i,j}.counts = ess{copy(i,j),j}.counts; + end + end +end + +for i=1:N + s = struct(bnet.CPD{i}); + counts = ess0{i}; + LL(i) = sum(log(s.CPT(:) + tiny) .* counts(:)); +end +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function index = find_same_domain(ess, j, domain, length) +index = 0; +for i = 1:length + if ~isempty(ess{i,j}) + if isequal(domain, ess{i,j}.domain) + index= i; + break; + end + end +end +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function newCPD = copy_CPD(newCPD, CPDs, order, forbidden) +%copy CPDs from old bnet to best bnet, except those nodes whose parent set has been altered +N = length(order); +for i=1:N + if ~mysubset(i,forbidden) + a = order(i); + s = struct(CPDs{a}); + CPT = s.CPT; + newCPD{i} = set_fields(newCPD{i}, 'CPT', CPT); + end +end +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_gs.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_gs.m new file mode 100644 index 00000000..3dd3ef1c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_gs.m @@ -0,0 +1,114 @@ +function [dag,best_score] = learn_struct_gs(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_GS(data,seeddag) learns a structure of Bayesian net by Greedy Search. +% dag = learn_struct_gs(data, nodesizes, seeddag) +% +% dag: the final structurre matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% +% +% by Gang Li @ Deakin University (gli73@hotmail.com) + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params +scoring_fn = 'bic'; +verbose = 'yes'; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + end; + end; + end; +end; + +done = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +while ~done + [dags,op,nodes] = mk_nbrs_of_dag(seeddag); + nbrs = length(dags); + scores = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn); + max_score = max(scores); + new = find(scores == max_score ); + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; +end; + +dag = seeddag; + +outcount = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +while outcount < 2 + innercount = 0; + for i=1:N + for j=1:N + if i==j, continue; end; + if seeddag(i,j) == 0 % No edge i-->j, then try to add it + tempdag = seeddag; + tempdag(i,j) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end + else % exists edge i--j, then try reverse it or remove it + tempdag = seeddag; + tempdag(i,j) = 0; tempdag(j,i) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score = temp_score; + innercount = innercount +1; + else + tempdag = seeddag; + tempdag(i,j) = 0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + else + tempdag = seeddag; + tempdag(i,j)=0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + end; + end; % end for j + end; % end for i + if innercount == 0 + outcount = outcount +1; + end; +end; % end while + +dag = seeddag; + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_gs2.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_gs2.m new file mode 100644 index 00000000..4e054800 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_gs2.m @@ -0,0 +1,119 @@ +function [dag, best_score, cache] = learn_struct_gs2(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_GS2(data,seeddag) learns a structure of Bayesian net by Greedy Search. +% dag = learn_struct_gs(data, nodesizes, seeddag) +% +% dag: the final structure matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% cache : data structure used to memorize local score computations +% (cf. SCORE_INIT_CACHE function) +% +% by Gang Li @ Deakin University (gli73@hotmail.com) +% (use mk_nbrs_of_dag_topo, developped by Wei Hu, instead of mk_nbrs_of_dag) +% (Caching implementation : ofrancois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr) +% + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params +scoring_fn = 'bic'; +verbose = 'yes'; +cache=[]; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + case 'cache', cache=args{i+1} ; + end; + end; + end; +end; + +done = 0; +[best_score cache] = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn,'cache',cache); +while ~done + [dags,op,nodes] = mk_nbrs_of_dag_topo(seeddag); + nbrs = length(dags); + [scores cache] = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn,'cache',cache); + max_score = max(scores); + new = find(scores == max_score ); + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; +end; + +dag = seeddag; + +outcount = 0; +[best_score cache] = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn,'cache',cache); +while outcount < 2 + innercount = 0; + for i=1:N + for j=1:N + if i==j, continue; end; + if seeddag(i,j) == 0 % No edge i-->j, then try to add it + tempdag = seeddag; + tempdag(i,j) = 1; + if acyclic(tempdag) + [temp_score cache] = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn,'cache',cache); + if temp_score > best_score + seeddag = tempdag + best_score= temp_score; + innercount = innercount +1; + end; + end + else % exists edge i--j, then try reverse it or remove it + tempdag = seeddag; + tempdag(i,j) = 0; tempdag(j,i) = 1; + if acyclic(tempdag) + [temp_score cache] = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn,'cache',cache); + if temp_score > best_score + seeddag = tempdag; + best_score = temp_score; + innercount = innercount +1; + else + tempdag = seeddag; + tempdag(i,j) = 0; + [temp_score cache] = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn,'cache',cache); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + else + tempdag = seeddag; + tempdag(i,j)=0; + [temp_score cache] = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn,'cache',cache); + if temp_score > best_score + seeddag = tempdag + best_score= temp_score; + innercount = innercount +1; + end; + end; + end; + end; % end for j + end; % end for i + if innercount == 0 + outcount = outcount +1; + end; +end; % end while + +dag = seeddag; diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_hc.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_hc.m new file mode 100644 index 00000000..e32dee80 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_hc.m @@ -0,0 +1,56 @@ +function [dag,best_score] = learn_struct_hc(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_HC(data,seeddag) learns a structure of Bayesian net by Hill Climbing. +% dag = learn_struct_hc(data, nodesizes, seeddag) +% +% dag: the final structurre matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% +% by Gang Li @ Deakin University (gli73@hotmail.com) + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params +scoring_fn = 'bic'; +verbose = 'yes'; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + end; + end; + end; +end; + +done = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +while ~done + [dags,op,nodes] = mk_nbrs_of_dag(seeddag); + nbrs = length(dags); + scores = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn); + max_score = max(scores); + new = find(scores == max_score ); + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; +end; + +dag = seeddag; + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_mcmc.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_mcmc.m new file mode 100644 index 00000000..36207950 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_mcmc.m @@ -0,0 +1,311 @@ +function [sampled_graphs, accept_ratio, num_edges] = learn_struct_mcmc(data, ns, varargin) +% LEARN_STRUCT_MCMC Monte Carlo Markov Chain search over DAGs assuming fully observed data +% [sampled_graphs, accept_ratio, num_edges] = learn_struct_mcmc(data, ns, ...) +% +% data(i,m) is the value of node i in case m. +% ns(i) is the number of discrete values node i can take on. +% +% sampled_graphs{m} is the m'th sampled graph. +% accept_ratio(t) = acceptance ratio at iteration t +% num_edges(t) = number of edges in model at iteration t +% +% The following optional arguments can be specified in the form of name/value pairs: +% [default value in brackets] +% +% scoring_fn - 'bayesian' or 'bic' [ 'bayesian' ] +% Currently, only networks with all tabular nodes support Bayesian scoring. +% type - type{i} is the type of CPD to use for node i, where the type is a string +% of the form 'tabular', 'noisy_or', 'gaussian', etc. [ all cells contain 'tabular' ] +% params - params{i} contains optional arguments passed to the CPD constructor for node i, +% or [] if none. [ all cells contain {'prior', 1}, meaning use uniform Dirichlet priors ] +% discrete - the list of discrete nodes [ 1:N ] +% clamped - clamped(i,m) = 1 if node i is clamped in case m [ zeros(N, ncases) ] +% nsamples - number of samples to draw from the chain after burn-in [ 100*N ] +% burnin - number of steps to take before drawing samples [ 5*N ] +% init_dag - starting point for the search [ zeros(N,N) ] +% +% e.g., samples = my_learn_struct_mcmc(data, ns, 'nsamples', 1000); +% +% +% Modified by Mingyi Wang (mingyiwang@hotmail.com) Sep 18, 2006 (based on Sonia Leach (SML)'s version ( 2/4/02, 9/5/03)) +% +% Some bugs in update_ancestor_matrix() were fixed. This function can call mk_nbrs_of_digraph properly +% + +[n ncases] = size(data); + +% set default params +type = cell(1,n); +params = cell(1,n); +for i=1:n + type{i} = 'tabular'; + %params{i} = { 'prior', 1}; + params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 }; +end +scoring_fn = 'bayesian'; +discrete = 1:n; +clamped = zeros(n, ncases); +nsamples = 100*n; +burnin = 5*n; +dag = zeros(n); + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'nsamples', nsamples = args{i+1}; + case 'burnin', burnin = args{i+1}; + case 'init_dag', dag = args{i+1}; + case 'scoring_fn', scoring_fn = args{i+1}; + case 'type', type = args{i+1}; + case 'discrete', discrete = args{i+1}; + case 'clamped', clamped = args{i+1}; + case 'gconstraint', gconstraint=args{i+1}; %Added by mingyi + case 'params', if isempty(args{i+1}), params = cell(1,n); else params = args{i+1}; end + + end +end + +% We implement the fast acyclicity check described by P. Giudici and R. Castelo, +% "Improving MCMC model search for data mining", submitted to J. Machine Learning, 2001. + +% SML: also keep descendant matrix C +use_giudici = 1; +%use_giudici = 0; %Revised by MIngyi +if use_giudici + [nbrs, ops, nodes, A] = mk_nbrs_of_digraph(dag); +else + [nbrs, ops, nodes] = mk_nbrs_of_dag(dag); + A = []; +end + +num_accepts = 1; +num_rejects = 1; +T = burnin + nsamples; +accept_ratio = zeros(1, T); +num_edges = zeros(1, T); +sampled_graphs = cell(1, nsamples); +%sampled_bitv = zeros(nsamples, n^2); + +for t=1:T + [dag, nbrs, ops, nodes, A, accept] = take_step(dag, nbrs, ops, ... + nodes, ns, data, clamped, A, ... + scoring_fn, discrete, type, params); + num_edges(t) = sum(dag(:)); + num_accepts = num_accepts + accept; + num_rejects = num_rejects + (1-accept); + accept_ratio(t) = num_accepts/num_rejects; + if t > burnin + sampled_graphs{t-burnin} = dag; + %sampled_bitv(t-burnin, :) = dag(:)'; + end + fprintf('MCMC: %d/%d\n',t,T); +end + + +%%%%%%%%% + + +function [new_dag, new_nbrs, new_ops, new_nodes, A, accept] = ... + take_step(dag, nbrs, ops, nodes, ns, data, clamped, A, ... + scoring_fn, discrete, type, params, prior_w) + +global gconstraint; %Added by Mingyi +use_giudici = ~isempty(A); +if use_giudici + [new_dag, op, i, j, new_A] = pick_digraph_nbr(dag, nbrs, ops, nodes,A); % updates A + [new_nbrs, new_ops, new_nodes] = mk_nbrs_of_digraph(new_dag,new_A); +else + d = sample_discrete(normalise(ones(1, length(nbrs)))); + new_dag = nbrs{d}; + op = ops{d}; + i = nodes(d, 1); j = nodes(d, 2); + [new_nbrs, new_ops, new_nodes] = mk_nbrs_of_dag1(new_dag); +end +%For debug +% fprintf('op:%s,i:%d,j:%d\n',op,i,j); +% if ~acyclic(new_dag) +% error('new dag must be acyclic!') +% end +% if size(find(diag(new_A)),1)>0 +% A=A +% new_A=new_A +% error('new A must be acyclic!') +% end +%debug ends + +bf = bayes_factor(dag, new_dag, op, i, j, ns, data, clamped, scoring_fn, discrete, type, params); + +%R = bf * (new_prior / prior) * (length(nbrs) / length(new_nbrs)); +R = bf * (length(nbrs) / length(new_nbrs)); +u = rand(1,1); +if u > min(1,R) % reject the move + accept = 0; + new_dag = dag; + new_nbrs = nbrs; + new_ops = ops; + new_nodes = nodes; +else + accept = 1; + if use_giudici + A = new_A; % new_A already updated in pick_digraph_nbr + end +end + + +%%%%%%%%% + +function bfactor = bayes_factor(old_dag, new_dag, op, i, j, ns, data, clamped, scoring_fn, discrete, type, params) + +u = find(clamped(j,:)==0); +LLnew = score_family(j, parents(new_dag, j), type{j}, scoring_fn, ns, discrete, data(:,u), params{j}); +LLold = score_family(j, parents(old_dag, j), type{j}, scoring_fn, ns, discrete, data(:,u), params{j}); +bf1 = exp(LLnew - LLold); + +if strcmp(op, 'rev') % must also multiply in the changes to i's family + u = find(clamped(i,:)==0); + LLnew = score_family(i, parents(new_dag, i), type{i}, scoring_fn, ns, discrete, data(:,u), params{i}); + LLold = score_family(i, parents(old_dag, i), type{i}, scoring_fn, ns, discrete, data(:,u), params{i}); + bf2 = exp(LLnew - LLold); +else + bf2 = 1; +end +bfactor = bf1 * bf2; + + +%%%%%%%% Giudici stuff follows %%%%%%%%%% + + +% SML: This now updates A as it goes from digraph it choses +function [new_dag, op, i, j, new_A] = pick_digraph_nbr(dag, digraph_nbrs, ops, nodes, A) + +d = sample_discrete(normalise(ones(1, length(digraph_nbrs)))); +%d = myunidrnd(length(digraph_nbrs),1,1); +i = nodes(d, 1); j = nodes(d, 2); +new_dag = digraph_nbrs(:,:,d); + +op = ops{d}; +new_A = update_ancestor_matrix(A, op, i, j, dag); +%for debug +% if op=='add' +% if ~(dag(i,j)==0 & new_dag(i,j)==1) +% fprintf('error add\n'); +% end +% end +% if op=='del' +% if ~(dag(i,j)==1 & new_dag(i,j)==0) +% fprintf('new dag del calculation is error!\n') +% end +% end +% if op=='rev' +% if ~(dag(i,j)==1 & dag(j,i)==0 & new_dag(i,j)==0 & new_dag(j,i)==1) +% fprintf('new dag rev calculation is error!\n') +% end +% end +% new_AA = reachability_graph(new_dag'); +% if find(diag(new_AA)==1) +% fprintf('cyclic\n'); +% end +% if ~isequal(new_A,new_AA) +% fprintf('new A calculation is error!\n') +% end +%debug ends + +%%%%%%%%%%%%%% + +function A = update_ancestor_matrix(A, op, i, j, dag) + +switch op +case 'add', + A = do_addition(A, op, i, j, dag); +case 'del', + A = do_removal(A, op, i, j, dag); +case 'rev', + A = do_removal(A, op, i, j, dag); + A = do_addition(A, op, j, i, dag); +end + + +%%%%%%%%%%%% + +function A = do_addition(A, op, i, j, dag) + +A(j,i) = 1; % i is an ancestor of j +anci = find(A(i,:)); +if ~isempty(anci) + A(j,anci) = 1; % all of i's ancestors are added to Anc(j) +end + +descj = find(A(:,j)); %all the descendants of j are selected +if ~isempty(descj) + for k=descj(:)' + A(k,i) = 1; % i is the ancestor of descj + if ~isempty(anci) % all of i's ancestors are also the ancestor of each descendant of j + A(k,anci)=1; + end + end +end + + +%%%%%%%%%%% + +function A = do_removal(A, op, i, j, dag) +descj = find(A(:,j)); +A = update_row(A,i, j, dag); % compute the A(j,:) row for dag i->j removal + +if ~isempty(descj) + order = topological_sort(dag); %all the parent nodes are before to the children nodes + [junk, perm] = sort(order); %node i is perm(i)-TH in order + descj_topnum = perm(descj); %descj(i) is descj_topnum(i)-th in order + +% SML: now re-sort descj by rank in descj_topnum + [junk, perm] = sort(descj_topnum); + descj = descj(perm); + for k = descj(:)' + A = old_update_row(A, k, dag); + end +end + +%%%%%%%%% + +function A = update_row(A, i,j, dag) +% We compute row j of A +A(j, :) = 0; +ps = parents(dag, j); +ps=setdiff(ps,i); % All the parents except i +if ~isempty(ps) + A(j, ps) = 1; +end +for k=ps(:)' + anck = find(A(k,:)); + if ~isempty(anck) + A(j, anck) = 1; + end +end + +%%%%%%%%% + +function A = old_update_row(A, j, dag) + +% We compute row j of A +A(j, :) = 0; +ps = parents(dag, j); +if ~isempty(ps) + A(j, ps) = 1; +end +for k=ps(:)' + anck = find(A(k,:)); + if ~isempty(anck) + A(j, anck) = 1; + end +end + +%%%%%%%% + +function A = init_ancestor_matrix(dag) + +order = topological_sort(dag); +A = zeros(length(dag)); +for j=order(:)' + A = update_row(A, j, dag); +end diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst.m new file mode 100644 index 00000000..8437385e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst.m @@ -0,0 +1,62 @@ +function [T, score_mat] = learn_struct_mwst(data, discrete, node_sizes, node_type, scoring_fn, root) +% LEARN_STRUCT_MWST Learn an oriented tree using the MSWT algorithm +% T = learn_struct_mwst(data, discrete, node_sizes, node_type, scoring_fn, root) +% +% Input : +% data(i,m) is the node i in the case m, +% discrete = [ 1 if discret-node 0 if not ], +% node_sizes = 1 if gaussian node, +% node_type = {'tabular','gaussian',...}, +% score = 'bic' (for complete data and any node types) or 'mutual_info' (tabular nodes), +% root is the futur root-node of the tree T. +% +% Output : +% T = adjacency matrix of the tree +% +% V1.2 : 17 feb 2003 (O. Francois - francois.olivier.c.h@gmail.com, Ph. Leray - philippe.leray@univ-nantes.fr) +% +% +% See Chow&Liu 1968 for the original algorithm using Mutual Information scoring. +% Or Heckerman 1994. + +if nargin <4 + error('Requires at least 4 arguments.') +end + +if nargin == 4 + scoring_fn='bic'; root=1; +end; + +if nargin == 5 + root=1; +end; + + +N=size(data,1); +score_mat=zeros(N,N); + +switch scoring_fn +case 'bic', + for i=1:(N-1) + score2 = score_family(i, [], node_type{i}, scoring_fn, node_sizes, discrete, data,[]); + for j=(i+1):N + score1 = score_family(i, [j], node_type{i}, scoring_fn, node_sizes, discrete, data,[]); + score = score2-score1; + score_mat(i,j)=score; + score_mat(j,i)=score; + end + end +case 'mutual_info', + for i=1:(N-1) + for j=(i+1):N + score_mat(i,j)= -mutual_info_score(i,node_sizes(i),j,node_sizes(j),data); + score_mat(j,i)=score_mat(i,j); + end + end +otherwise, + error(['unrecognized scoring fn ' scoring_fn]); +end + +G = minimum_spanning_tree(score_mat); +T = mk_rooted_tree(G, root); +T=full(T); \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst_EM.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst_EM.m new file mode 100644 index 00000000..7dcf531e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_mwst_EM.m @@ -0,0 +1,171 @@ +function [bnet0, Sbest, Obest] = learn_struct_mwst_EM(data, discrete, node_sizes, prior, nbloopmax, thresh) +% LEARN_STRUCT_MWST_EM Learn an oriented tree using the MSWT algorithm +% [bnet, Ebic] = learn_struct_mwstem(data, discrete, node_sizes, prior, +% nbloopmax, thresh) +% +% Input : +% data{i,m} a cell where the node i in the case m, +% discrete = [ 1 if discret-node 0 if not ], (1:N) +% node_sizes = 1 if gaussian node, (max on complete samples) +% prior = 1 to use uniform Dirichlet prior (0) +% nbloopmax = max loop number (ceil(log(N*log(N)))) +% thresh = the convergence test's threshold (1e-3) +% +% Output : +% bnet = the output bayesian network +% Ebic = the espected BIC score of bnet given the data +% +% francois.olivier.c.h@gmail.com + +%%%%%%%%%%%%% +%fprintf('-- INITIALIZATION\n'); +%%%%%%%%%%%%% +[N, m]=size(data); + rand('state',sum(100*clock)) + +if nargin<6, thresh = 1e-4; end +if nargin<5, nbloopmax = 15; end +if nargin<4, prior = 0; end +if nargin<3, + misv = -9999; + data_mat = bnt_to_mat(data,misv); + node_sizes = max(data_mat'), +end +if nargin<2, discrete = ones(1,N); end + +nbloop = 1; last=0; +max_iter = 6; % for learn_struct_params + +%%%%%%%%%%%%% +%fprintf(' Choice of the first bnet ');tic +%%%%%%%%%%%%% +% Random Chain like DAG +T = diag(ones(N-1,1),1); T=T+T'; +order=randperm(N); root=randperm(N); root=root(1); +[tmp order2]=sort(order); order2; +T2 = full(mk_rooted_tree(T,order2(root))); +torder=topological_sort(T2(order2,order2)); +[tmp torder2]=sort(torder); torder2; +ordre = 1:N;torder=ordre;torder2=ordre;order2=ordre; +%figure(2), subplot(3,2,1), draw_graph(T2(order2,order2));drawnow + +bnet0 = mk_bnet(T2(order2(torder),order2(torder)), node_sizes(torder)); +%for i=1:N, bnet0.CPD{i} = tabular_CPD(bnet0, i); end % probleme de log of zeros si tous les cas ne sont pas repr�sent�s dans la base +for i=1:N, bnet0.CPD{i} = tabular_CPD(bnet0, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); end % a priori -> change les espected counts +%tmp = toc;fprintf(' : %6.2f seconds\n',tmp); + +Sbest = -Inf; Bbest = bnet0; fini=0;T3=T2; +while not(fini) + %%%%%%%%%%%%% + %fprintf('Loop %d : learning parameters...\n',nbloop);tic +% engine0=jtree_sparse_inf_engine(bnet0); + engine0=jtree_inf_engine(bnet0); + [bnet1, LL1, engine1] = learn_params_em(engine0, data(torder,:), max_iter, thresh); + %tmp = toc; + %fprintf(' Parameters learning : %6.2f seconds\n',tmp); + + BIC0=0; + for i=1:N, + xxx=struct(bnet1.CPD{i}); + BIC0=BIC0+bic_score_family(xxx.counts, xxx.CPT, xxx.nsamples); + end + %fprintf('%d ',torder), fprintf('%5.2f\n',BIC0); + %figure(2), subplot(3,2,nbloop), title(sprintf('%5.2f',BIC0)); + + if BIC0 < Sbest+ thresh*abs(Sbest) | nbloop>nbloopmax + fini=1; + else + Sbest = BIC0; + Bbest = bnet1; + Obest = torder2 ; + Tbest = T3; + + %%%%%%%%%%%%% + %tic; + %%%%%%%%%%%%% + + theta_Xi=cell(N,1); + evidence = cell(1,N); + [engine2, loglik] = enter_evidence(engine1, evidence); + for j=1:N, + SS= marginal_nodes (engine2,torder2(j)); + theta_Xi{j} = SS.T; + end + + theta_Xj_given_Xi = cell(N,N); + for i=1:N + for vali = 1:node_sizes(i) + evidence = cell(1,N); evidence{torder2(i)} = vali; + [engine2, loglik] = enter_evidence(engine1, evidence); + for j=mysetdiff(1:N,i) + SS= marginal_nodes (engine2,torder2(j)); + theta_Xj_given_Xi{j,i} = [theta_Xj_given_Xi{j,i}, SS.T]; + end + end + end + %celldisp(theta_Xi); + + BIC_mat=zeros(N,N); + for i=1:N, + BIC_mat(i,i)=bic_score_family(theta_Xi{i}*m,theta_Xi{i},m); + for j=mysetdiff(1:N,i) + theta_XjXi=(ones(node_sizes(i),1)*theta_Xi{j}').*theta_Xj_given_Xi{i,j}; + BIC_mat(i,j)= bic_score_family(m*theta_XjXi,theta_Xj_given_Xi{i,j},m); + end + end + BIC_delta = BIC_mat-diag(BIC_mat)*ones(1,N); + + BIC1=0; + for i = 1:N + j = find(bnet0.dag(:,i)==1); + if isempty(j) + BIC1 = BIC1 + BIC_mat(torder2(i),torder2(i)); + else + BIC1 = BIC1 + BIC_mat(torder2(i),torder2(j)); + end + end + %fprintf('%d ',torder), fprintf('%5.2f (1)\n',BIC1); + + %fprintf(' Creation of the score matrix '); + %tmp = toc;fprintf(' : %6.2f seconds\n',tmp); + + %%%%%%%%%%%%% + %fprintf(' Creation of the new bnet ');tic + %%%%%%%%%%%%% + T2 = minimum_spanning_tree(-BIC_delta); + root=randperm(N); root=root(1); + T3 = full(mk_rooted_tree(T2, root)); + torder=topological_sort(T3); + [tmp torder2]=sort(torder); torder2; + + bnet0 = mk_bnet(T3(torder,torder), node_sizes(torder)); +%bnet0.order + %BIC=0; + for i = 1:N + j = find(T3(:,i)==1); + if isempty(j) + bnet0.CPD{torder2(i)} = tabular_CPD(bnet0, torder2(i), 'CPT', theta_Xi{i}, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); + %BIC = BIC + BIC_mat(i,i); + else + bnet0.CPD{torder2(i)} = tabular_CPD(bnet0, torder2(i), 'CPT', theta_Xj_given_Xi{i,j}, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); + %BIC=BIC + BIC_mat(i,j); + end + end + nbloop=nbloop+1; + %figure(2), subplot(3,2,nbloop), draw_graph(T3); drawnow + %tmp = toc;fprintf(' : %6.2f seconds\n',tmp); + fprintf('================================================================================\n'); + %fprintf(' --> BIC score = %6.2f\n\n\n',BIC); + theta_Xi_best=theta_Xi; + theta_Xj_given_Xi_best=theta_Xj_given_Xi; + end +end + +% Bbest.dag +% Tbest + +% bnet = mk_bnet(Tbest, node_sizes); +% for i=1:N, bnet.CPD{i} = tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); end +% engine=jtree_sparse_inf_engine(bnet); +% [Bbest, LL1] = learn_params_em(engine, data, max_iter, thresh); + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_pdag_pc_mod.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_pdag_pc_mod.m new file mode 100644 index 00000000..081c70f1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_pdag_pc_mod.m @@ -0,0 +1,158 @@ +function [pdag, G] = learn_struct_pdag_pc_mod(cond_indep, n, k, varargin) +% LEARN_STRUCT_PDAG_PC Learn a partially oriented DAG (pattern) using the PC algorithm +% P = learn_struct_pdag_pc(cond_indep, n, k, ...) +% +% n is the number of nodes. +% k is an optional upper bound on the fan-in (default: n) +% cond_indep is a boolean function that will be called as follows: +% feval(cond_indep, x, y, S, ...) +% where x and y are nodes, and S is a set of nodes (positive integers), +% and ... are any optional parameters passed to this function. +% +% The output P is an adjacency matrix, in which +% P(i,j) = -1 if there is an i->j edge. +% P(i,j) = P(j,i) = 1 if there is an undirected edge i <-> j +% +% The PC algorithm does structure learning assuming all variables are observed. +% See Spirtes, Glymour and Scheines, "Causation, Prediction and Search", 1993, p117. +% This algorithm may take O(n^k) time if there are n variables and k is the max fan-in, +% but this is quicker than the Verma-Pearl IC algorithm, which is always O(n^n). + + +sep = cell(n,n); +ord = 0; +done = 0; +G = ones(n,n); +G=setdiag(G,0); +while ~done + done = 1; + [X,Y] = find(G); + for i=1:length(X) + x = X(i); y = Y(i); + %nbrs = mysetdiff(myunion(neighbors(G, x), neighbors(G,y)), [x y]); + nbrs = mysetdiff(neighbors(G, y), x); % bug fix by Raanan Yehezkel 6/27/04 + if length(nbrs) >= ord & G(x,y) ~= 0 + done = 0; + %SS = subsets(nbrs, ord, ord); % all subsets of size ord + SS = subsets1(nbrs, ord); + for si=1:length(SS) + S = SS{si}; + if feval(cond_indep, x, y, S, varargin{:}) + %if isempty(S) + % fprintf('%d indep of %d ', x, y); + %else + % fprintf('%d indep of %d given ', x, y); fprintf('%d ', S); + %end + %fprintf('\n'); + + % diagnostic + %[CI, r] = cond_indep_fisher_z(x, y, S, varargin{:}); + %fprintf(': r = %6.4f\n', r); + + G(x,y) = 0; + G(y,x) = 0; + sep{x,y} = myunion(sep{x,y}, S); + sep{y,x} = myunion(sep{y,x}, S); + break; % no need to check any more subsets + end + end + end + end + ord = ord + 1; +end + +% Create the minimal pattern, +% i.e., the only directed edges are V structures. +pdag = G; +[X, Y] = find(G); +% We want to generate all unique triples x,y,z +% This code generates x,y,z and z,y,x. +for i=1:length(X) + x = X(i); + y = Y(i); + Z = find(G(y,:)); + Z = mysetdiff(Z, x); + for z=Z(:)' + if G(x,z)==0 & ~ismember(y, sep{x,z}) & ~ismember(y, sep{z,x}) + %fprintf('%d -> %d <- %d\n', x, y, z); + pdag(x,y) = -1; pdag(y,x) = 0; + pdag(z,y) = -1; pdag(y,z) = 0; + end + end +end + +% Convert the minimal pattern to a complete one, +% i.e., every directed edge in P is compelled +% (must be directed in all Markov equivalent models), +% and every undirected edge in P is reversible. +% We use the rules of Pearl (2000) p51 (derived in Meek (1995)) + +old_pdag = zeros(n); +iter = 0; +while ~isequal(pdag, old_pdag) + iter = iter + 1; + old_pdag = pdag; + % rule 1 + [A,B] = find(pdag==-1); % a -> b + for i=1:length(A) + a = A(i); b = B(i); + C = find(pdag(b,:)==1 & G(a,:)==0); % all nodes adj to b but not a + if ~isempty(C) + pdag(b,C) = -1; pdag(C,b) = 0; + %fprintf('rule 1: a=%d->b=%d and b=%d-c=%d implies %d->%d\n', a, b, b, C, b, C); + end + end + % rule 2 + [A,B] = find(pdag==1); % unoriented a-b edge + for i=1:length(A) + a = A(i); b = B(i); + if any( (pdag(a,:)==-1) & (pdag(:,b)==-1)' ); + pdag(a,b) = -1; pdag(b,a) = 0; + %fprintf('rule 2: %d -> %d\n', a, b); + end + end + % rule 3 + [A,B] = find(pdag==1); % a-b + for i=1:length(A) + a = A(i); b = B(i); + % Bug fix by Imme Ebert-Uphoff (ebert@tree.com), Jan 2007 + % C = find( (G(a,:)==1) & (pdag(:,b)==-1)' ); + C = find( (pdag(a,:)==1) & (pdag(:,b)==-1)' ); + % C contains nodes c s.t. a-c->ba + G2 = setdiag(G(C, C), 1); + if any(G2(:)==0) % there are 2 different non adjacent elements of C + pdag(a,b) = -1; pdag(b,a) = 0; + %fprintf('rule 3: %d -> %d\n', a, b); + end + end +end + + +% % Test Rule 3 of PC algorithm +% +% % Define PDAG +% pdag = zeros(4); +% pdag(2,1)=-1; +% pdag(3,1)=-1; +% pdag(2,4)=-1; +% pdag(3,4)=-1; +% pdag(1,4)=1; +% pdag(4,1)=1; +% +% fprintf('\nSample input PDAG:\n'); +% pdag +% +% fprintf('Sample DAG generated from PDAG:\n'); +% dag = abs(pdag_to_dag(pdag)) +% +% fprintf('Output from current PC algorithm:\n'); +% pdag_PC = learn_struct_pdag_pc('dsep', 4, 3, dag) +% +% % Problem can be fixed by changing Line 120 of learn_struct_pdag_pc.m +% % C = find( (G(a,:)==1) & (pdag(:,b)==-1)' ); +% % to +% % C = find( (pdag(a,:)==1) & (pdag(:,b)==-1)' ); +% +% fprintf('Correct version:\n'); +% pdag_PC_mod = learn_struct_pdag_pc_mod('dsep', 4, 3, dag) + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_tan.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_tan.m new file mode 100644 index 00000000..df122b43 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_tan.m @@ -0,0 +1,104 @@ +function dag = learn_struct_tan(data, class_node, root, node_sizes, scoring_fn) +% LEARN_STRUCT_TAN Learn the structure of the tree augmented naive bayesian network +% (with discrete nodes) +% dag = learn_struct_tan(app, class, root, node_sizes) +% +% Input : +% data(i,m) is the value of node i in case m +% class_node is the class node +% root is the root node of the tree part of the dag (must be different from the class node) +% node_sizes = 1 if gaussian node, +% scoring_fn = 'bic' (default value) or 'mutual_info' +% +% Output : +% dag = adjacency matrix of the dag +% +% V1.1 : 21 may 2003, (O. Francois - francois.olivier.c.h@gmail.com, Ph. Leray - philippe.leray@univ-nantes.fr) +% V1.2 : may 2005 bug correction about node types (Navid Serrano ) + + +if nargin <4 + error('Requires at least 4 arguments.') +end + +if nargin == 4 + scoring_fn='bic'; +end; + +if class_node==root + error(' The root node can''t be the class node.'); +end + +% if root>class_node +% root=root-1; +% end + +N=size(data,1); +node_types=cell(N-1,1); +notclass=setdiff(1:N,class_node); +for i=1:N + if node_sizes(i)==1 + node_types{i}='gaussian'; + else + node_types{i}='tabular'; + end +end + +dag=zeros(N); +T = learn_struct_mwst4tan(data, ones(1,N), node_sizes, node_types, scoring_fn, root, class_node); +dag=T; +dag(class_node,notclass)=1; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [T, score_mat] = learn_struct_mwst4tan(data, discrete, node_sizes, node_type, scoring_fn, root, class) + +if nargin <4 + error('Requires at least 4 arguments.') +end + +if nargin == 4 + scoring_fn='bic'; root=1; +end; + +if nargin == 5 + root=1; +end; + +N=size(data,1); +score_mat=zeros(N,N); +score_mat(class,:)=Inf; +score_mat(:,class)=Inf; + +switch scoring_fn +case 'bic', + for i=mysetdiff(1:(N-1), class) + score2 = score_family(i, [class], node_type{i}, scoring_fn, node_sizes, discrete, data,[]); + for j=mysetdiff((i+1):N, class) + score1 = score_family(i, [j,class], node_type{i}, scoring_fn, node_sizes, discrete, data,[]); + score = score2-score1; + score_mat(i,j)=score; + score_mat(j,i)=score; + end + end +case 'mutual_info', % tabular nodes only + for i=mysetdiff(1:(N-1), class) + for j=mysetdiff((i+1):N, class) + score_mat(i,j)= -cond_mutual_info_score(i,node_sizes(i),j,node_sizes(j),class,node_sizes(class),data); + score_mat(j,i)=score_mat(i,j); + end + end +otherwise, + error(['unrecognized scoring fn ' scoring_fn]); +end + +variab = mysetdiff(1:N,class); +%score_mat +G = minimum_spanning_tree(score_mat(variab,variab)); +if root>class, root=root-1;end +T = mk_rooted_tree(G, root); +T1 = full(T); +T=zeros(N); +T(variab,variab)=T1; + + + diff --git a/sourcecodes/bnt-master/SLP/learning/learn_struct_tan_EM.m b/sourcecodes/bnt-master/SLP/learning/learn_struct_tan_EM.m new file mode 100644 index 00000000..2fa81ac6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/learn_struct_tan_EM.m @@ -0,0 +1,172 @@ +function dag = learn_struct_tan_EM(data, class, node_sizes, root, prior, nbloopmax, thresh) +% LEARN_STRUCT_TAN_EM +% dag = learn_struct_tan_EM(data, class, node_sizes, root, prior, nbloopmax, thresh) +% +% Learn TAN classifier for discrete variables from incomplete dataset +% +% Input : +% data{i,m} a cell where the node i in the case m, +% class is the number of the class node, +% node_sizes = 1 if gaussian node, (max on complete samples) +% root is the futur root-node of the tree T. (random) +% prior = 1 to use uniform Dirichlet prior (0) +% nbloopmax = max loop number (ceil(log(N*log(N)))) +% thresh = the convergence test's threshold (1e-3) +% +% Output : +% bnet = the output bayesian network +% Ebic = the espected BIC score of bnet given the data +% +% francois.olivier.c.h@gmail.com + +[N, m]=size(data); +log_m = log(m); +if nargin<7, thresh = 1e-4; end +max_iter = 10; % for learn_struct_params +if nargin<6, nbloopmax = 15, end +if nargin<5, prior = 0; end +if nargin<4, root = ceil(N*rand(1)), end +if nargin<3, + misv = -9999; + data_mat = bnt_to_mat(data,misv); + node_sizes = max(data_mat'), + clear data_mat +end + +discrete = 1:N; +nbloop = 0; +variab = mysetdiff(1:N, class); + +[Bbest1, Sbest, Obest] = learn_struct_mwst_EM4tan(data(variab, :), 1:N-1, node_sizes(variab), prior, nbloopmax, thresh); +dag = zeros(N); +dag(variab, variab) = Bbest1.dag; +dag(class, variab) = 1; + +%Bbest = mk_bnet(dag, discrete); +%for i=discrete, Bbest.CPD{i} = tabular_CPD(Bbest, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); end +%engine = jtree_inf_engine(Bbest); +%Bbest = learn_params_em(engine, data, max_iter, thresh); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [Bbest, Sbest, Obest] = learn_struct_mwst_EM4tan(data, discrete, node_sizes, prior, nbloopmax, thresh) + +%fprintf('-- INITIALIZATION\n'); +%%%%%%%%%%%%% +[N, m]=size(data); + rand('state',sum(100*clock)) + +if nargin<6, thresh = 1e-4; end +if nargin<5, nbloopmax = 15; end +if nargin<4, prior = 0; end +if nargin<3, + misv = -9999; + data_mat = bnt_to_mat(data,misv); + node_sizes = max(data_mat'), +end +if nargin<2, discrete = ones(1,N); end + +nbloop = 1; last=0; +max_iter = 15; % for learn_struct_params + +%%%%%%%%%%%%% +% Random Chain like DAG +T = diag(ones(N-1,1),1); T=T+T'; +order=randperm(N); root=randperm(N); root=root(1); +[tmp order2]=sort(order); order2; +T2 = full(mk_rooted_tree(T,order2(root))); +torder=topological_sort(T2(order2,order2)); +[tmp torder2]=sort(torder); torder2; + +bnet0 = mk_bnet(T2(order2(torder),order2(torder)), node_sizes(torder)); +for i=1:N, bnet0.CPD{i} = tabular_CPD(bnet0, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); end % a priori -> change les espected counts + +%%%%%%%%%%%%% +Sbest = -Inf; Bbest = bnet0; fini=0; + +while not(fini) + %fprintf('Loop %d : learning parameters...\n',nbloop); + engine0=jtree_inf_engine(bnet0); + [bnet1, LL1, engine1] = learn_params_em(engine0, data(torder,:), max_iter, thresh); + + BIC0=0; + for i=1:N, + xxx=struct(bnet1.CPD{i}); + BIC0=BIC0+bic_score_family(xxx.counts, xxx.CPT, xxx.nsamples); + end + + if BIC0 < Sbest+ thresh*abs(Sbest), + fini=1; + else + Sbest = BIC0; + Bbest = bnet1; + Obest = torder2 ; + %%%%%%%%%%%%% + + theta_Xi=cell(N,1); + evidence = cell(1,N); + [engine2, loglik] = enter_evidence(engine1, evidence); + for j=1:N, + SS= marginal_nodes (engine2,torder2(j)); + theta_Xi{j} = SS.T; + end + + theta_Xj_given_Xi = cell(N,N); + for i=1:N + for vali = 1:node_sizes(i) + evidence = cell(1,N); evidence{torder2(i)} = vali; + [engine2, loglik] = enter_evidence(engine1, evidence); + for j=mysetdiff(1:N,i) + SS= marginal_nodes (engine2,torder2(j)); + theta_Xj_given_Xi{j,i} = [theta_Xj_given_Xi{j,i}, SS.T]; + end + end + end + + BIC_mat=zeros(N,N); + for i=1:N, + BIC_mat(i,i)=bic_score_family(theta_Xi{i}*m,theta_Xi{i},m); + for j=mysetdiff(1:N,i) + theta_XjXi=(ones(node_sizes(i),1)*theta_Xi{j}').*theta_Xj_given_Xi{i,j}; + BIC_mat(i,j)= bic_score_family(m*theta_XjXi,theta_Xj_given_Xi{i,j},m); + end + end + BIC_delta = BIC_mat-diag(BIC_mat)*ones(1,N); + + BIC1=0; + for i = 1:N + j = find(bnet0.dag(:,i)==1); + if isempty(j) + BIC1 = BIC1 + BIC_mat(torder2(i),torder2(i)); + else + BIC1 = BIC1 + BIC_mat(torder2(i),torder2(j)); + end + end + + %fprintf(' Creation of the new bnet ');tic + %%%%%%%%%%%%% + T2 = minimum_spanning_tree(-BIC_delta); + root=randperm(N); root=root(1); + T3 = full(mk_rooted_tree(T2, root)); + torder=topological_sort(T3); + [tmp torder2]=sort(torder); torder2; + + bnet0 = mk_bnet(T3(torder,torder), node_sizes(torder)); + %BIC=0; + for i = 1:N + j = find(T3(:,i)==1); + if isempty(j) + bnet0.CPD{torder2(i)} = tabular_CPD(bnet0, torder2(i), 'CPT', theta_Xi{i}, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); + %BIC = BIC + BIC_mat(i,i); + else + bnet0.CPD{torder2(i)} = tabular_CPD(bnet0, torder2(i), 'CPT', theta_Xj_given_Xi{i,j}, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif'); + %BIC=BIC + BIC_mat(i,j); + end + end + nbloop=nbloop+1; + fprintf('================================================================================\n'); + if nbloop>nbloopmax + fini=1; + end + end +end diff --git a/sourcecodes/bnt-master/SLP/learning/mk_naive_struct.m b/sourcecodes/bnt-master/SLP/learning/mk_naive_struct.m new file mode 100644 index 00000000..33e6b7d7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/learning/mk_naive_struct.m @@ -0,0 +1,6 @@ +function S = mk_naive_struct(n,C) +% +% S = mk_naive_struct(Number_of_nodes, Class_node) +% +S = zeros(n); +S(C,setdiff(1:n,C)) = 1; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/license.gpl b/sourcecodes/bnt-master/SLP/license.gpl new file mode 100644 index 00000000..6a2d5712 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/license.gpl @@ -0,0 +1,450 @@ +This library is free software; 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IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING +WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR +REDISTRIBUTE THE LIBRARY AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, +INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING +OUT OF THE USE OR INABILITY TO USE THE LIBRARY (INCLUDING BUT NOT LIMITED TO +LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR +THIRD PARTIES OR A FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER +SOFTWARE), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE +POSSIBILITY OF SUCH DAMAGES. + +END OF TERMS AND CONDITIONS + +This library is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License version 2 as published by the Free Software Foundation. + +This library is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + + diff --git a/sourcecodes/bnt-master/SLP/misc/CPT_from_bnet.m b/sourcecodes/bnt-master/SLP/misc/CPT_from_bnet.m new file mode 100644 index 00000000..64a62516 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/CPT_from_bnet.m @@ -0,0 +1,16 @@ +function CPT = CPT_from_bnet(bnet,v) +% Export CPT from bnet +% CPT = CPT_from_bnet(bnet,v) +% +% optional : v~=0 --> verbose mode + +if nargin<2, v=0; end +N = size(bnet.dag,1); +CPT = cell(1,N); +for j=1:N + CPD=struct(bnet.CPD{j}); + %counts{j}=CPD.counts; + CPT{j}=CPD.CPT; +end +if v, celldisp(CPT);end +%nsamples = CPD.nsamples; diff --git a/sourcecodes/bnt-master/SLP/misc/Markov_equivalent_dags.m b/sourcecodes/bnt-master/SLP/misc/Markov_equivalent_dags.m new file mode 100644 index 00000000..455037c9 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/Markov_equivalent_dags.m @@ -0,0 +1,42 @@ +function [n_dags, dag_list] = Markov_equivalent_dags(dag) + +% +% [n_dags, dag_list] = Markov_equivalent_dags(dag) +% +% generates a cell array of all Markov equivalent DAGs +% corresponding to the input DAG. +% +% YOU NEED TO HAVE THE STRUCTURE LEARNING PACKAGE IN PLACE TO USE THIS FUNCTION! +% +% Input: DAG (in standard format, i.e. dag(a,b)=1 if and only if a->b) +% +% Output: Number of DAGs generated and +% Cell array of all Markov-equivalent DAGs (in same format as input) +% +% Sample Use: +% +% Example 1: +% % Find all DAGs equivalent to DAG of Asia Network +% BN = mk_asia_bnet(); +% dag = BN.dag; +% [n_dags, dag_list] = Markov_equivalent_dags(dag); +% n_dags % Answer should be: 6 +% dag_list{1} % displays the first DAG, etc. +% +% Example 2: +% % Find all DAGs equivalent to random DAG +% dag = mk_rnd_dag(4); +% [n_dags, dag_list] = Markov_equivalent_dags(dag); +% +% Imme Ebert-Uphoff (ebert@tree.com), 2007 +% + + % find completed PDAG corresponding to DAG + cpdag = dag_to_cpdag(dag); + + % convert to our notation, i.e. directed edge has (-1) instead of (1) + signed_pdag = pdag_unsigned_to_signed(cpdag); + + % find all corresponding DAGs + [n_dags,dag_list] = pdag_to_all_dags( signed_pdag ); + diff --git a/sourcecodes/bnt-master/SLP/misc/bnt_to_mat.m b/sourcecodes/bnt-master/SLP/misc/bnt_to_mat.m new file mode 100644 index 00000000..27608feb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/bnt_to_mat.m @@ -0,0 +1,18 @@ +function res = bnt_to_mat(data,misv) +% res = bnt_to_mat(data,misv) +% + +if nargin <1, error('Requires at least 1 argument.'), end +if nargin == 1, misv=-9999; end +taille=size(data); +long=taille(1); +larg=taille(2); +for i=1:long + for j=1:larg + if ~isempty(data{i,j}) + res(i,j)=data{i,j}; + else + res(i,j)=misv; + end + end +end diff --git a/sourcecodes/bnt-master/SLP/misc/chi2_table.m b/sourcecodes/bnt-master/SLP/misc/chi2_table.m new file mode 100644 index 00000000..e753d126 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/chi2_table.m @@ -0,0 +1,115 @@ +function value = chi2_table(P, df) +% function value = chi2_table(P, df) +% +% df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 +% 1 1.32 1.64 2.07 2.71 3.84 5.02 5.41 6.63 7.88 9.14 10.83 12.12 +% 2 2.77 3.22 3.79 4.61 5.99 7.38 7.82 9.21 10.60 11.98 13.82 15.20 +% 3 4.11 4.64 5.32 6.25 7.81 9.35 9.84 11.34 12.84 14.32 16.27 17.73 +% 4 5.39 5.59 6.74 7.78 9.49 11.14 11.67 13.23 14.86 16.42 18.47 20.00 +% 5 6.63 7.29 8.12 9.24 11.07 12.83 13.33 15.09 16.75 18.39 20.51 22.11 +% 6 7.84 8.56 9.45 10.64 12.53 14.45 15.03 16.81 13.55 20.25 22.46 24.10 +% 7 9.04 5.80 10.75 12.02 14.07 16.01 16.62 18.48 20.28 22.04 24.32 26.02 +% 8 10.22 11.03 12.03 13.36 15.51 17.53 18.17 20.09 21.95 23.77 26.12 27.87 +% 9 11.39 12.24 13.29 14.68 16.92 19.02 19.63 21.67 23.59 25.46 27.83 29.67 +% 10 12.55 13.44 14.53 15.99 18.31 20.48 21.16 23.21 25.19 27.11 29.59 31.42 +% 11 13.70 14.63 15.77 17.29 19.68 21.92 22.62 24.72 26.76 28.73 31.26 33.14 +% 12 14.85 15.81 16.99 18.55 21.03 23.34 24.05 26.22 28.30 30.32 32.91 34.82 +% 13 15.93 15.58 18.90 19.81 22.36 24.74 25.47 27.69 29.82 31.88 34.53 36.48 +% 14 17.12 18.15 19.4 21.06 23.68 26.12 26.87 29.14 31.32 33.43 36.12 38.11 +% 15 18.25 19.31 20.60 22.31 25.00 27.49 28.26 30.58 32.80 34.95 37.70 39.72 +% 16 19.37 20.47 21.79 23.54 26.30 28.85 29.63 32.00 34.27 36.46 39.25 41.31 +% 17 20.49 21.61 22.98 24.77 27.59 30.19 31.00 33.41 35.72 37.95 40.79 42.88 +% 18 21.60 22.76 24.16 25.99 28.87 31.53 32.35 34.81 37.16 39.42 42.31 44.43 +% 19 22.72 23.90 25.33 27.20 30.14 32.85 33.69 36.19 38.58 40.88 43.82 45.97 +% 20 23.83 25.04 26.50 28.41 31.41 34.17 35.02 37.57 40.00 42.34 45.31 47.50 +% 21 24.93 26.17 27.66 29.62 39.67 35.48 36.34 38.93 41.40 43.78 46.80 49.01 +% 22 26.04 27.30 28.82 30.81 33.92 36.78 37.66 40.29 42.80 45.20 48.27 50.51 +% 23 27.14 28.43 29.98 32.01 35.17 38.08 38.97 41.64 44.18 46.62 49.73 52.00 +% 24 28.24 29.55 31.13 33.20 36.42 39.36 40.27 42.98 45.56 48.03 51.18 53.48 +% 25 29.34 30.68 32.28 34.38 37.65 40.65 41.57 44.31 46.93 49.44 52.62 54.95 +% 26 30.43 31.79 33.43 35.56 38.89 41.92 42.86 45.64 48.29 50.83 54.05 56.41 +% 27 31.53 32.91 34.57 36.74 40.11 43.19 44.14 46.96 49.64 52.22 55.48 57.86 +% 28 32.62 34.03 35.71 37.92 41.34 44.46 45.42 48.28 50.99 53.59 56.89 59.30 +% 29 33.71 35.14 36.85 39.09 42.56 45.72 46.69 49.59 52.34 54.97 58.30 60.73 +% 30 34.80 36.25 37.99 40.26 43.77 46.98 47.96 50.89 53.67 56.33 59.70 62.16 +% 40 45.62 47.27 49.24 51.81 55.76 59.34 60.44 63.69 66.77 69.70 73.40 76.09 +% 50 56.33 53.16 60.35 63.17 67.50 71.42 72.61 76.15 79.49 82.66 86.66 89.56 +% 60 66.98 68.97 71.34 74.40 79.08 83.30 84.58 88.38 91.95 95.34 99.61 102.7 +% 80 88.13 90.41 93.11 96.58 101.9 106.6 108.1 112.3 116.3 120.1 124.8 128.3 +% 100 109.1 111.7 114.7 118.5 124.3 129.6 131.1 135.8 140.2 144.3 149.4 153.2 +% df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 +% + +if nargin<2, error('not enought arguments'); end +if P>0.25, error('first argument too big'); end +if P<0.0005, error('first argument too low'); end +if df>100, error('second argument too big'); end +if df<1, error('second argument too low'); end + +possible_P = [0.25,0.20,0.15,0.10,0.05,0.025,0.02 ,0.01,0.005,0.0025,0.001,0.0005]; +possible_df = [1:30, 40 50 60 80 100]; + +if ~ismember(P,possible_P), + res = sort([possible_P P]); res=res(end:-1:1); + [tmp indxP]=find(res==P); + indxP1 = indxP-1; indxP2=indxP; + P2=[possible_P(indxP1), possible_P(indxP2)]; + force_P = normalise(abs(P2-P)); +else + P2=[P P]; force_P=[1,0];[tmp,indxP1]=find(possible_P==P);indxP2=indxP1+1; +end +if ~ismember(df,possible_df), + res = sort([possible_df df]); + [tmp indxdf]=find(res==df); + indxdf1 = indxdf-1; indxdf2=indxdf; + df2=[possible_df(indxdf1), possible_df(indxdf2)]; + force_df = normalise(abs(df2-df)); +else + df2=[df df]; force_df=[1,0];[tmp,indxdf1]=find(possible_df==df);indxdf2=indxdf1+1; +end + +table = [[1.32,1.64,2.07,2.71,3.84,5.02,5.41,6.63 ,7.88,9.14,10.83,12.12];... +[2.77,3.22,3.79,4.61,5.99,7.38,7.82,9.21 ,10.60,11.98,13.82,15.20 ];... +[4.11,4.64,5.32,6.25,7.81,9.35,9.84,11.34 ,12.84,14.32,16.27,17.73 ];... +[5.39,5.59,6.74,7.78,9.49,11.14,11.67,13.23 ,14.86,16.42,18.47,20.00 ];... +[6.63,7.29,8.12,9.24,11.07,12.83,13.33,15.09 ,16.75,18.39,20.51,22.11 ];... +[7.84,8.56,9.45,10.64,12.53,14.45,15.03,16.81 ,13.55,20.25,22.46,24.10 ];... +[9.04,5.80,10.75,12.02,14.07,16.01,16.62 ,18.48,20.28,22.04,24.32,26.02 ];... +[10.22,11.03,12.03,13.36,15.51,17.53,18.17 ,20.09,21.95,23.77,26.12,27.87 ];... +[11.39,12.24,13.29,14.68,16.92,19.02,19.63 ,21.67,23.59,25.46,27.83,29.67 ];... +[12.55,13.44,14.53,15.99,18.31,20.48,21.16 ,23.21,25.19,27.11,29.59,31.42 ];... +[13.70,14.63,15.77,17.29,19.68,21.92,22.62,24.72,26.76,28.73,31.26,33.14 ];... +[14.85,15.81,16.99,18.55,21.03,23.34,24.05,26.22,28.30,30.32,32.91,34.82 ];... +[15.93,15.58,18.90,19.81,22.36,24.74,25.47,27.69,29.82,31.88,34.53,36.48 ];... +[17.12,18.15,19.4,21.06,23.68,26.12,26.87,29.14,31.32,33.43,36.12,38.11 ];... +[18.25,19.31,20.60,22.31,25.00,27.49,28.26,30.58,32.80,34.95,37.70,39.72 ];... +[19.37,20.47,21.79,23.54,26.30,28.85,29.63,32.00,34.27,36.46,39.25,41.31 ];... +[20.49,21.61,22.98,24.77,27.59,30.19,31.00,33.41,35.72,37.95,40.79,42.88 ];... +[21.60,22.76,24.16,25.99,28.87,31.53,32.35,34.81,37.16,39.42,42.31,44.43 ];... +[22.72,23.90,25.33,27.20,30.14,32.85,33.69,36.19,38.58,40.88,43.82,45.97 ];... +[23.83,25.04,26.50,28.41,31.41,34.17,35.02,37.57,40.00,42.34,45.31,47.50 ];... +[24.93,26.17,27.66,29.62,39.67,35.48,36.34,38.93,41.40,43.78,46.80,49.01 ];... +[26.04,27.30,28.82,30.81,33.92,36.78,37.66,40.29,42.80,45.20,48.27,50.51 ];... +[27.14,28.43,29.98,32.01,35.17,38.08,38.97,41.64,44.18,46.62,49.73,52.00 ];... +[28.24,29.55,31.13,33.20,36.42,39.36,40.27,42.98,45.56,48.03,51.18,53.48 ];... +[29.34,30.68,32.28,34.38,37.65,40.65,41.57,44.31,46.93,49.44,52.62,54.95 ];... +[30.43,31.79,33.43,35.56,38.89,41.92,42.86,45.64,48.29,50.83,54.05,56.41 ];... +[31.53,32.91,34.57,36.74,40.11,43.19,44.14,46.96,49.64,52.22,55.48,57.86 ];... +[32.62,34.03,35.71,37.92,41.34,44.46,45.42,48.28,50.99,53.59,56.89,59.30 ];... +[33.71,35.14,36.85,39.09,42.56,45.72,46.69,49.59,52.34,54.97,58.30,60.73 ];... +[34.80,36.25,37.99,40.26,43.77,46.98,47.96,50.89,53.67,56.33,59.70,62.16 ];... +[45.62,47.27,49.24,51.81,55.76,59.34,60.44,63.69,66.77,69.70,73.40,76.09 ];... +[56.33,53.16,60.35,63.17,67.50,71.42,72.61,76.15,79.49,82.66,86.66,89.56 ];... +[66.98,68.97,71.34,74.40,79.08,83.30,84.58,88.38,91.95,95.34,99.61,102.7 ];... +[88.13,90.41,93.11,96.58,101.9,106.6,108.1,112.3,116.3,120.1,124.8,128.3 ];... +[109.1,111.7,114.7,118.5,124.3,129.6,131.1,135.8,140.2,144.3,149.4,153.2]]; + +values = table(indxdf1:indxdf2,indxP1:indxP2); +value1 = values(1,:)*force_P'; +value2 = values(2,:)*force_P'; +value3 = values(:,1)'*force_df'; +value4 = values(:,2)'*force_df'; +value5 = [value1 value2]*force_df'; +value6 = [value3 value4]*force_P'; +value = mean([value5, value6]); + diff --git a/sourcecodes/bnt-master/SLP/misc/classification_evaluation.m b/sourcecodes/bnt-master/SLP/misc/classification_evaluation.m new file mode 100644 index 00000000..a2b107bc --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/classification_evaluation.m @@ -0,0 +1,35 @@ +function [ratio, ratiominus, ratioplus, proba_post, yt] = classification_evaluation(bnet, BDT, class) +% Computes the classification ratio of a bnet structure on a test dataset BDT +% [ratio ratiominus ratioplus] = classification_evaluation(bnet, BDT, class) +% +% [ratiominus rationplus] is the 95 percent confident interval. +% results are in percentage [0 100]. +% +% francois.olivier.c.h@gmail.com +% + + [proba_post,engine] = inference(bnet, mat_to_bnt(BDT), class); + [tmp yt] = max(proba_post, [],2); + [N L] = size(BDT); + count = length(find(BDT(class,:)==yt')); + ratio = 100*count/L; +[ratiominus, ratioplus] = confiance(ratio,L); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [I, J] = confiance(t, N) +% Compute the 95 percent confident interval +% +% see Y. Bennani and F. Bossaert, +% Predictive neural networks for traffic disturbance detection in the telephone network +% In Proceedings of IMACS-CESA 1996, Lille, France. + +Z = 1.96; % this value for the 95 percent confident interval +T = t/100; +tmp = (Z*Z)/N; +D = 1+tmp; +N1 = T+tmp/2; +tmp2 = T*(1-T)/N + tmp/(4*N); +N2 = Z*sqrt(tmp2); +I = 100*(N1-N2)/D; +J = 100*(N1+N2)/D; diff --git a/sourcecodes/bnt-master/SLP/misc/complete_pattern.m b/sourcecodes/bnt-master/SLP/misc/complete_pattern.m new file mode 100644 index 00000000..74cb8db7 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/complete_pattern.m @@ -0,0 +1,119 @@ +function completed_pdag = complete_pattern(pdag) + +% +% completed_dag = complete_pattern(pdag) +% +% uses Rules R1-R4 of Meek (1995) to complete +% orientations in a pdag as far as possible, +% i.e. every compelled edge is oriented. +% +% (Rules R1-R4 are also summarized in Pearl (2000), p.51 +% and Neapolitan (2004), p. 546.) +% +% Since the PC algorithm also uses Rules R1-R3, their implementation was +% copied (with some modifications) from function learn_struct_pdag_pc. +% +% Rule R4 is necessary here, since the orientations in the input +% pdag do not just represent v-structures. +% +% Imme Ebert-Uphoff (ebert@tree.com), 2007 +% + + DIAGNOSTICS_ON = false; + + n = length(pdag); + old_pdag = zeros(n); + %iter = 0; + while ~isequal(pdag, old_pdag) + %iter = iter + 1; + old_pdag = pdag; + + % Rule R1 + [A,B] = find(pdag==-1); % a -> b + for i=1:length(A) + a = A(i); b = B(i); + undirected = abs(pdag) + abs(pdag)'; + % Adjacency test in undirected matrix: + % a adjacent b <=> undirected(a,b) ==0 + % That's easier to use than adjacency test in pdag: + % a adjacent b <=> pdag(a,b)==0 and pdag(b,a)==0 + + % Find all nodes c such that b-c and c not adjacent a + C = find(pdag(b,:)==1 & undirected(a,:)==0); + if ~isempty(C) + pdag(b,C) = -1; pdag(C,b) = 0; + if DIAGNOSTICS_ON + for j=1:length(C) + fprintf('Rule 1: %d -> %d\n', b, C(j)); + end + end + end + end + + % Rule R2 + [A,B] = find(pdag==1); % unoriented a-b edge + for i=1:length(A) + a = A(i); b = B(i); + if any( (pdag(a,:)==-1) & (pdag(:,b)==-1)' ); + pdag(a,b) = -1; pdag(b,a) = 0; + if DIAGNOSTICS_ON + fprintf('Rule 2: %d -> %d\n', a, b); + end + end + end + + % Rule R3 + [A,B] = find(pdag==1); % a-b + for i=1:length(A) + a = A(i); b = B(i); + C = find( (pdag(a,:)==1) & (pdag(:,b)==-1)' ); + % C contains nodes c s.t. a-c->b-a + + % Extract lines and columns corresponding only to the set of nodes C + core = pdag(C,C); + + % Prepare adjacency test: + unoriented = abs(core) + abs(core)'; + % Now: a non-adjacent b <==> unoriented(a,b) == 0 + + % Prepare to detect existence of non-adjacent pairs of nodes in C. + % Set diagonal to 1, to prevent finding pairs of IDENTICAL nodes: + unoriented = setdiag(unoriented, 1); + if any(unoriented(:)==0) % C contains 2 different non adjacent elements + pdag(a,b) = -1; pdag(b,a) = 0; + if DIAGNOSTICS_ON + fprintf('Rule 3: %d -> %d\n', a, b); + end + end + end + + % Rule 4 + [A,B] = find(pdag==1); % unoriented a-b edge + for i=1:length(A) + a = A(i); b = B(i); + + % Prepare adjacency test: + % unoriented(i,j) is 0 (non-adj) or 1 (directed) or 2 (undirected) + unoriented = abs(pdag) + abs(pdag)'; + + % Find c such that c -> b and a,c are adjacent (a-c or a->c or a<-c) + C = find( (pdag(:,b)==-1)' & (unoriented(a,:)>=1) ); + for j=1:length(C) + c = C(j); + % Check whether there is any node d, such that + % d->c AND a-d AND b NOT adjacent to d + if any( (pdag(:,c)==-1)' & (pdag(a,:)==1) & (unoriented(b,:)==0) ) + pdag(a,b) = -1; pdag(b,a) = 0; + if DIAGNOSTICS_ON + fprintf('Rule 4: %d -> %d\n', a, b); + end + end + end + end + + end % end of while + + % Oriented all possible edges. Return result. + completed_pdag = pdag; +end + diff --git a/sourcecodes/bnt-master/SLP/misc/compute_bnet_nparams.m b/sourcecodes/bnt-master/SLP/misc/compute_bnet_nparams.m new file mode 100644 index 00000000..3366375f --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/compute_bnet_nparams.m @@ -0,0 +1,13 @@ +function [D,d]= compute_bnet_nparams(bnet) +% [D,d] = compute_bnet_nparams(bnet) +% +% D is the dimension of the network +% d is the vector containing the number of parameters for all nodes + +N = length(bnet.dag); +d = zeros(1,N); +for i=1:N + a = struct(bnet.CPD{i}); + d(i) = a.nparams; +end +D = sum(d); diff --git a/sourcecodes/bnt-master/SLP/misc/confiance.m b/sourcecodes/bnt-master/SLP/misc/confiance.m new file mode 100644 index 00000000..a9416bf8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/confiance.m @@ -0,0 +1,16 @@ +function [I, J] = confiance(t, N) +% Compute the 95 percent confident interval +% +% see Y. Bennani and F. Bossaert, +% Predictive neural networks for traffic disturbance detection in the telephone network +% In Proceedings of IMACS-CESA 1996, Lille, France. + +Z = 1.96; % this value for the 95 percent confident interval +T = t/100; +tmp = (Z*Z)/N; +D = 1+tmp; +N1 = T+tmp/2; +tmp2 = T*(1-T)/N + tmp/(4*N); +N2 = Z*sqrt(tmp2); +I = 100*(N1-N2)/D; +J = 100*(N1+N2)/D; diff --git a/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag.m b/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag.m new file mode 100644 index 00000000..8e106610 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag.m @@ -0,0 +1,52 @@ +function dag = cpdag_to_dag(cpdags) +% dags = cpdag_to_dag(cpdags) +% +% CPDAG_TO_DAG produce a N*N matrix of a dag which instantiate cpdag. +% (also works with a cell array of cpdags, returning a cell array of dags) +% make sur that your entry is a completed PDAG +% this function can't be use instead of PDAG_TO_DAG +% +% see Chickering (2002) : Learning equivalence classes of bayesian networks, JMLR2, pp475-479 +% +% francois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr +% 31 march 2006 + +if ~iscell(cpdags) + cpdag=cell(1,1); + cpdag{1}=cpdags; +else + cpdag=cpdags; +end + +for da=1:length(cpdag) + + N=length(cpdag{da}); + dag=cpdag{da}; + + unprocessed = find_nodes_in_undirected_component(dag); + while ~isempty(unprocessed) + nbr_parents = []; + for i=1:length(unprocessed) + nbr_parents(end+1)=length(parents(dag-dag.*dag',unprocessed(i))); %nbr_parents(end+1)=length(parents(dag,unprocessed(i))); + end + [tmp, idx] = max(nbr_parents); + node = unprocessed(idx); + dag(parents(dag.*dag',node),node)=0; %dag(parents(dag,node),node)=0; + %dag(myintersect(parents(dag,node),unprocessed), node)=0; % Wei Lu + unprocessed = find_nodes_in_undirected_component(dag); + end + + dags{da}=dag; +end + +if ~iscell(cpdags) + dag=dags{1}; +else + dag=dags; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function unprocessed = find_nodes_in_undirected_component(dag) +undirected_edges = dag.*dag'; +[unprocessed, tmp] = find(undirected_edges); +unprocessed = unique(unprocessed); diff --git a/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag2.m b/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag2.m new file mode 100644 index 00000000..1057a9eb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/cpdag_to_dag2.m @@ -0,0 +1,52 @@ +function dag = cpdag_to_dag2(cpdags) +% dags = cpdag_to_dag(cpdags) +% +% CPDAG_TO_DAG produce a N*N matrix of a dag which instantiate cpdag. +% (also works with a cell array of cpdags, returning a cell array of dags) +% make sur that your entry is a completed PDAG +% this function can't be use instead of PDAG_TO_DAG +% +% francois.olivier.c.h@gmail.com +% 7 may 2003 - OLD version + +if ~iscell(cpdags) + cpdag=cell(1,1); + cpdag{1}=cpdags; +else + cpdag=cpdags; +end + +for da=1:length(cpdag) + + N=length(cpdag{da}); + dag=cpdag{da}; dag2=dag; + unprocessed = []; + + for i=1:(N-1) + for j=(i+1):N + if dag2(i,j)==1 & dag2(j,i)==1 + if ~myismember(i,unprocessed) + unprocessed = [unprocessed;i]; + end + if ~myismember(j,unprocessed) + unprocessed = [unprocessed;j]; + end + end + end + end + + for i=1:length(unprocessed) + for j=1:N + if dag(unprocessed(i),j)==1 & dag(j,unprocessed(i))==1 + dag(j,unprocessed(i))=0; + end + end + end + dags{da}=dag; +end + +if ~iscell(cpdags) + dag=dags{1}; +else + dag=dags; +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag.m b/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag.m new file mode 100644 index 00000000..70ec3a7e --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag.m @@ -0,0 +1,115 @@ +function [cpdag] = dag_to_cpdag(dags) +% (also works with a cell array of dags, returning a cell array of cpdags) +% DAG_TO_CPDAG produce a N*N matrix which values respect : +% +% If the edge is compelled then 1 on the edge. +% If the edge is reversible then 1 on the edge and 1 in the reverse edge. +% +% Make sure that the entry is a DAG. +% +% See D.M. Chickering: "Learning Equivalence Classes of Bayesian-Network Structures". +% +% +% francois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr, alain.delaplace@univ-tours.fr + +if ~iscell(dags) + dag=cell(1,1); + dag{1}=dags; +else + dag=dags; +end + +for da=1:length(dag) + cpdags{da} = abs(label_edges(dag{da})); +end + +if ~iscell(dags) + cpdag=cpdags{1}; +else + cpdag=cpdags; +end + +%%============================================================================== + +function [label] = label_edges(dag) +% LABEL-EDGES produce a N*N matrix which values are +% +1 if the edge is compelled or +% -1 if the edge is reversible. +% Make sure that the entry is a DAG. +% +% francois.olivier.c.h@gmail.com + +N=length(dag); +[order xedge yedge] = order_edges(dag); +label = 2*dag; + +NbEdges = length(xedge) ; + +for Edge=1:NbEdges, + xlow=xedge(Edge); + ylow=yedge(Edge); + if label(xlow,ylow)==2 + fin = 0; + wcompelled = find(label(:,xlow)==1); + parenty = find(label(:,ylow)~=0); + + %for w = wcompelled + for s = 1:length(wcompelled) + w = wcompelled(s); + if ~ismember(w,parenty) + label(parenty,ylow)=1; + label(ylow,parenty)=0; + fin = 1; + elseif fin == 0 + label(w,ylow)=1; + label(ylow,w)=0; % + end + end + if fin == 0 + parentx = [xlow ; find(label(:,xlow)~=0)]; + if ~isempty(mysetdiff(parenty,parentx)) + label(xlow,ylow)=1; % + label(ylow,xlow)=0; % + ttp=find(label(:,ylow)==2); + label(ttp,ylow)=1; + label(ylow,ttp)=0; % + else + ttp=find(label(:,ylow)==2); + label(ttp,ylow)=-1; + label(ylow,ttp)=-1; + end + end + end +end + +%%%======================================================================================== +function [order, x, y] = order_edges(dag) +% ORDER_EDGES produce a total (natural) ordering over the edges in a DAG. +% Make sure that the entry is a DAG. +% +% francois.olivier.c.h@gmail.com +% +% 2 mai 2003 + +if acyclic(dag)==0 + error('Requires an acyclic graph'); +end + +N=length(dag); +order = zeros(N,N); + +node_order = topological_sort(dag); +[tmp oo] = sort(node_order); + +dag=dag(node_order,node_order); +[x y]=find(flipud(dag)==1); +nb_edges=length(x); + +if nb_edges~=0 + order(sub2ind([N N],N+1-x,y))=1:nb_edges ; +end + +order=order(oo,oo); +x=node_order(N+1-x); +y=node_order(y); + diff --git a/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag1.m b/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag1.m new file mode 100644 index 00000000..c3189a1d --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/dag_to_cpdag1.m @@ -0,0 +1,128 @@ +function [cpdag] = dag_to_cpdag1(dags) +% 2 +% (also works with a cell array of dags, returning a cell array of cpdags) +% DAG_TO_CPDAG produce a N*N matrix which values respect : +% +% If the edge is compelled then 1 on the edge. +% If the edge is reversible then 1 on the edge and 1 in the reverse edge. +% +% Make sure that the entry is a DAG. +% +% See D.M. Chickering: "Learning Equivalence Classes of Bayesian-Network Structures". +% +% +% francois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr + +if ~iscell(dags) + dag=cell(1,1); + dag{1}=dags; +else + dag=dags; +end + +for da=1:length(dag) + cpdags{da} = abs(label_edges(dag{da})); +end + +if ~iscell(dags) + cpdag=cpdags{1}; +else + cpdag=cpdags; +end + +%%============================================================================== + +function [label] = label_edges(dag) +% LABEL-EDGES produce a N*N matrix which values are +% +1 if the edge is compelled or +% -1 if the edge is reversible. +% Make sure that the entry is a DAG. +% +% francois.olivier.c.h@gmail.com + +N=length(dag); +[order xedge yedge] = order_edges(dag); +label = 2*dag; % all edges as unknown + +NbEdges = length(xedge) ; +%xedge=x, yedge=y, %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +for Edge=1:NbEdges, + xlow=xedge(Edge); + ylow=yedge(Edge); + if label(xlow,ylow)==2 + fin = 0; + + %wcompelled = find(label(:,xlow)~=2); + wcompelled = find(label(:,xlow)==1); + + parenty = find(label(:,ylow)~=0); + %sonsy = find(label(ylow,:)~=0); + + for s = 1:length(wcompelled) + w = wcompelled(s); + if ~ismember(w,parenty) + label(xlow,ylow)=1; + label(ylow,xlow)=0; % + label(parenty,ylow)=1; + label(ylow,parenty)=0; % + %label(ylow,sonsy)=1; % + %label(sonsy,ylow)=0; % + fin = 1; + + elseif fin == 0 + label(w,ylow)=1; + %label(ylow,w)=0; % + end + end + if fin == 0 + parentx = [xlow ; find(label(:,xlow)~=0)]; + if ~isempty(mysetdiff(parenty,parentx)) + %label(xlow,ylow)=1; % + %label(ylow,xlow)=0; % + + label(find(label(:,ylow)==2),ylow)=1; + label(ylow,find(label(ylow,:)==2))=1; % + else + label(xlow,ylow)=-1; + label(ylow,xlow)=-1; % + ttp = find(label(:,ylow)==2); + label(ttp,ylow)=-1; + label(ylow,ttp)=-1; % + end + end + end +end + +%%%======================================================================================== +function [order, x, y] = order_edges(dag) +% ORDER_EDGES produce a total (natural) ordering over the edges in a DAG. +% Make sure that the entry is a DAG. +% +% francois.olivier.c.h@gmail.com +% +% 2 mai 2003 + +if acyclic(dag)==0 + error('Requires an acyclic graph'); +end + +N=length(dag); +order = zeros(N,N); + +node_order = topological_sort(dag); +[tmp oo] = sort(node_order); + +dag2=dag(node_order,node_order); +[x y]=find(flipud(dag2)==1); +nb_edges=length(x); + +if nb_edges~=0 + order(sub2ind([N N],N+1-x,y))=1:nb_edges ; +end + +order=order(oo,oo); +x=node_order(N+1-x); +y=node_order(y); + diff --git a/sourcecodes/bnt-master/SLP/misc/discretization.m b/sourcecodes/bnt-master/SLP/misc/discretization.m new file mode 100644 index 00000000..870583af --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/discretization.m @@ -0,0 +1,59 @@ +function [appD, testD, bornes] = discretization(critere, continues, miss, app, test) +% [appD, testD, bornes] = discretization(critere, continious, miss, app, test) +% +% Inputs : +% critere = 1, 2, 3 or 4 (see hict_ic for details) +% continious = vector of continious variables to discretize +% miss ~= 0 if it exists missing values coded by 'miss' value +% app = Learning base +% test = Test base (only the learning base is used to make the discretization rules) [optionnal] +% +% Outputs : +% appD = Learning base with discretized entries on 'continious' variables +% testD = Test base with discretized entries on 'continious' variables +% bornes = limits of discretization intervals found by hist_ic +% + +tt=1; +if nargin<5, test=[]; tt=0; end +app = app'; +test = test'; +[ma, Na] = size(app); +[mt, Nt] = size(test); +I = []; +testD = []; + +if miss, + [I J]=find(app==miss); + [I2 J2]=find(test==miss); +end +completes=setdiff(1:ma,I); +donnees_continue=app(completes,continues); + +% echantillonnage +[n,bornes,nbbornes,xx]=hist_ic(donnees_continue,critere); + +% on re-distribue l'ensemble des donnees d'apprentissage continues +[n2,appD_continues]=histc_ic(app(:,continues),bornes); +if tt, [n2test,testD_continues]=histc_ic(test(:,continues),bornes); end + +% on insere les donnees continues discretisees dans les matrices +appD=app; +if tt, testD=test; end +for i=1:length(continues) + appD(:,continues(i))=appD_continues(:,i); + if tt, testD(:,continues(i))=testD_continues(:,i); end +end + +if miss, + for k=1:length(I) + app(I(k),J(k))=miss; + end + if tt, + for l=1:length(I2) + testD(I2(l),J2(l))=miss; + end + end +end +appD = appD'; +testD = testD'; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/editing_dist.m b/sourcecodes/bnt-master/SLP/misc/editing_dist.m new file mode 100644 index 00000000..5b697752 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/editing_dist.m @@ -0,0 +1,17 @@ +function D = editing_dist(dag1, dag2) +% D = editing_dist(dag1, dag2) +% +% d = 1 if arc1 <> arc2 +% + +[n1 m1]=size(dag1); +[n2 m2]=size(dag2); + +if n1~=m1 | n1~=n2 | n2~=m2 | m1~=m2 + error('formats non compatibles'); + D=-inf; +end + +de=abs(dag1-dag2); +mauv=find(triu(or(de,de'))); +D=size(mauv,1); diff --git a/sourcecodes/bnt-master/SLP/misc/export_cases.m b/sourcecodes/bnt-master/SLP/misc/export_cases.m new file mode 100644 index 00000000..4ab0d790 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/export_cases.m @@ -0,0 +1,57 @@ +function S = export_cases(data, names, file, misv) +% filepath = export_cases(data, names, 'filename', missing_value) +% filename and missing_value [default [] if iscell(data) or -9999 if not] are optional +% +% Exports BNT datasets to Netica cases (* for missing data) +% +% Written by Francois.Olivier.C.H@gmail.com +% +% Informations could be found here http://www.norsys.com/downloads/ +% +% version 80807 + +% inits +if nargin==1, file=['dnet' datestr(now,'-yymmdd-HHMMSS')]; end +if nargin<2, error('Variable Names needed'); end +if length(file)>5, + if prod(double(file((end-3):end)~='.cas')), file=[file '.cas']; end + name = file(1:end-5); +else + name = file; + file = [file '.cas']; +end +if nargin<4, misv=-9999; end +if iscell(data), data = bnt_to_mat(data,misv); end + +[N m]=size(data); +if length(names)~=N, error('Sizes must be the same'); end + +% header of the file +fid = fopen(file, 'w'); +fprintf(fid, '// exported from the Bayes Net Toolbox with export_cases function \n'); +fprintf(fid, '// please report bugs to francois.olivier.c.h@gmail.com\n\n'); + +% write names +for i=1:N + fprintf(fid, '%s\t',names{i}); +end + +% exports +for l=1:m, + fprintf(fid, '\n'); + for i=1:N, + if data(i,l)~=misv, + fprintf(fid, '%s',['x' num2str(data(i,l))]); + else + fprintf(fid, '%s','*'); + end + if i4, + if prod(double(file((end-4):end)~='.dnet')), file=[file '.dnet']; end + name = file(1:end-5); +else + name = file; + file = [file '.dnet']; +end + +% generating node names 1:N if non existant +N=length(bnet.dag); +if isempty(bnet.names), + for i=1:N, + keys{i}=['' num2str(i) '']; + vals{i}=i; + end + bnet.names = assocarray(keys, vals); +end + +% header of the file +fid = fopen(file, 'w'); +fprintf(fid, '// ~->[DNET-1]->~\n\n'); +fprintf(fid, '// exported from the Bayes Net Toolbox with export_dnet function \n'); +fprintf(fid, '// please report bugs to francois.olivier.c.h@gmail.com\n'); +if proba, fprintf(fid, '// Take care ! Parents'' order isn''t the same in probability table comments\n'); end +fprintf(fid, ['\nbnet ' name ' {']); + +% main loop +for node = 1:N + name = get_key(bnet.names,node); + + fprintf(fid, ['\nnode ' name ' {']); + + fprintf(fid, '\n\tkind = NATURE;'); + + fprintf(fid, '\n\tdiscrete = TRUE;'); + +% states names are x1,x2:xsize(node) + fprintf(fid, '\n\tstates = ('); + for l=1:bnet.node_sizes(node), + fprintf(fid, 'x%d',l); + if l~=bnet.node_sizes(node), fprintf(fid, ', '); end + end, fprintf(fid, ');'); + +% declare parent in counter order to be coherent with prob section + fprintf(fid, '\n\tparents = ('); + par = bnet.parents{node}; + for l=length(par):-1:1 + fprintf(fid, '%s',get_key(bnet.names,par(l))); + if l~=1, fprintf(fid, ', '); end + end, fprintf(fid, ');'); + +% fill probs if proba==1 + if proba, + fprintf(fid, '\n\tprobs =\n'); + % inits + fprintf(fid, '\t//\t'); + for l = 1:bnet.node_sizes(node), + fprintf(fid, 'x%d\t', l); + end + fprintf(fid, '\t//'); + if ~isempty(par), + for l = unique(par), %right order this time because of the way both BNT and netica work + fprintf(fid, '\t%s', get_key(bnet.names,l)); + end + end + + % opens tab + fprintf(fid, '\n\t'); + for l = unique(par), + fprintf(fid, '('); + end + + % fullfils probs + CPT = CPT_from_bnet(bnet); + CPT = CPT{node}; + CPT=CPT(:); % good order whatever the node size ???? + if isempty(par), + fprintf(fid, '\t'); + for i=1:length(CPT)-1, + fprintf(fid, '%1.4f, ', CPT(i)); + end + fprintf(fid, '%1.4f);',CPT(end)); + else % if there are parents + endi=0; + parsiz = prod(bnet.node_sizes([par])); + parentstates = ones(1,length(par)); parentstates(end)=0; + for i=1:parsiz + % prints probas + fprintf(fid, '(\t'); + for j = 1:bnet.node_sizes(node) + prob = CPT(i+parsiz*(j-1)); + if j~=bnet.node_sizes(node), fprintf(fid, '%1.4f, ',prob); + else fprintf(fid, '%1.4f',prob); end + end + + % closes parenthesis if needed + endii=endi; + if i~=parsiz, + while endi>0, fprintf(fid, ')');endi=endi-1; end + fprintf(fid, '),\t//\t'); + else % close tab + for l = unique(par), fprintf(fid, ')'); end + fprintf(fid, ');\t//\t'); + end + + % prints node states + res=i; + for l=1:length(par)-1 + if mod(i+1, prod(bnet.node_sizes(par(1:l))))==0, endi=endi+1; end % counts parenthesis + + resaff = mod(res, bnet.node_sizes(l)); + if resaff==0, resaff=bnet.node_sizes(par(l)); end + res = div(res-1, bnet.node_sizes(par(l)))+1; + + fprintf(fid, '%d\t',resaff); + end + + resaff = div(i-1, prod(bnet.node_sizes(par(1:end-1))))+1; + fprintf(fid, '%d',resaff); + + % opens parenthesis if needed + if i~=parsiz, fprintf(fid, '\n'); end + fprintf(fid, '\t'); + if i~=parsiz, while endii>0, fprintf(fid, '(');endii=endii-1; end, end + end + end + end + fprintf(fid, '\n\t};'); +end + +% closes file +fprintf(fid,'\n};\n'); +fclose(fid); + +% outputs string +S = [pwd '/' file]; diff --git a/sourcecodes/bnt-master/SLP/misc/exportfig.m b/sourcecodes/bnt-master/SLP/misc/exportfig.m new file mode 100644 index 00000000..ef734fa3 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/exportfig.m @@ -0,0 +1,991 @@ +function varargout = exportfig(varargin) +%EXPORTFIG Export a figure. +% EXPORTFIG(H, FILENAME) writes the figure H to FILENAME. H is +% a figure handle and FILENAME is a string that specifies the +% name of the output file. +% +% EXPORTFIG(H, FILENAME, OPTIONS) writes the figure H to FILENAME +% with options initially specified by the structure OPTIONS. The +% field names of OPTIONS must be legal parameters listed below +% and the field values must be legal values for the corresponding +% parameter. Default options can be set in releases prior to R12 +% by storing the OPTIONS structure in the root object's appdata +% with the command +% setappdata(0,'exportfigdefaults', OPTIONS) +% and for releases after R12 by setting the preference with the +% command +% setpref('exportfig', 'defaults', OPTIONS) +% +% EXPORTFIG(...,PARAM1,VAL1,PARAM2,VAL2,...) specifies +% parameters that control various characteristics of the output +% file. Any parameter value can be the string 'auto' which means +% the parameter uses the default factory behavior, overriding +% any other default for the parameter. +% +% Format Paramter: +% 'Format' a string +% specifies the output format. Defaults to 'eps'. For a +% list of export formats type 'help print'. +% 'Preview' one of the strings 'none', 'tiff' +% specifies a preview for EPS files. Defaults to 'none'. +% +% Size Parameters: +% 'Width' a positive scalar +% specifies the width in the figure's PaperUnits +% 'Height' a positive scalar +% specifies the height in the figure's PaperUnits +% 'Bounds' one of the strings 'tight', 'loose' +% specifies a tight or loose bounding box. Defaults to 'tight'. +% 'Reference' an axes handle or a string +% specifies that the width and height parameters +% are relative to the given axes. If a string is +% specified then it must evaluate to an axes handle. +% +% Specifying only one dimension sets the other dimension +% so that the exported aspect ratio is the same as the +% figure's or reference axes' current aspect ratio. +% If neither dimension is specified the size defaults to +% the width and height from the figure's or reference +% axes' size. Tight bounding boxes are only computed for +% 2-D views and in that case the computed bounds enclose all +% text objects. +% +% Rendering Parameters: +% 'Color' one of the strings 'bw', 'gray', 'cmyk' +% 'bw' specifies that lines and text are exported in +% black and all other objects in grayscale +% 'gray' specifies that all objects are exported in grayscale +% 'rgb' specifies that all objects are exported in color +% using the RGB color space +% 'cmyk' specifies that all objects are exported in color +% using the CMYK color space +% 'Renderer' one of 'painters', 'zbuffer', 'opengl' +% specifies the renderer to use +% 'Resolution' a positive scalar +% specifies the resolution in dots-per-inch. +% 'LockAxes' one of 0 or 1 +% specifies that all axes limits and ticks should be fixed +% while exporting. +% +% The default color setting is 'bw'. +% +% Font Parameters: +% 'FontMode' one of the strings 'scaled', 'fixed' +% 'FontSize' a positive scalar +% in 'scaled' mode multiplies with the font size of each +% text object to obtain the exported font size +% in 'fixed' mode specifies the font size of all text +% objects in points +% 'DefaultFixedFontSize' a positive scalar +% in 'fixed' mode specified the default font size in +% points +% 'FontSizeMin' a positive scalar +% specifies the minimum font size allowed after scaling +% 'FontSizeMax' a positive scalar +% specifies the maximum font size allowed after scaling +% 'FontEncoding' one of the strings 'latin1', 'adobe' +% specifies the character encoding of the font +% 'SeparateText' one of 0 or 1 +% specifies that the text objects are stored in separate +% file as EPS with the base filename having '_t' appended. +% +% If FontMode is 'scaled' but FontSize is not specified then a +% scaling factor is computed from the ratio of the size of the +% exported figure to the size of the actual figure. +% +% The default 'FontMode' setting is 'scaled'. +% +% Line Width Parameters: +% 'LineMode' one of the strings 'scaled', 'fixed' +% 'LineWidth' a positive scalar +% 'DefaultFixedLineWidth' a positive scalar +% 'LineWidthMin' a positive scalar +% specifies the minimum line width allowed after scaling +% 'LineWidthMax' a positive scalar +% specifies the maximum line width allowed after scaling +% The semantics of 'Line' parameters are exactly the +% same as the corresponding 'Font' parameters, except that +% they apply to line widths instead of font sizes. +% +% Style Map Parameter: +% 'LineStyleMap' one of [], 'bw', or a function name or handle +% specifies how to map line colors to styles. An empty +% style map means styles are not changed. The style map +% 'bw' is a built-in mapping that maps lines with the same +% color to the same style and otherwise cycles through the +% available styles. A user-specified map is a function +% that takes as input a cell array of line objects and +% outputs a cell array of line style strings. The default +% map is []. +% +% Examples: +% exportfig(gcf,'fig1.eps','height',3); +% Exports the current figure to the file named 'fig1.eps' with +% a height of 3 inches (assuming the figure's PaperUnits is +% inches) and an aspect ratio the same as the figure's aspect +% ratio on screen. +% +% opts = struct('FontMode','fixed','FontSize',10,'height',3); +% exportfig(gcf, 'fig2.eps', opts, 'height', 5); +% Exports the current figure to 'fig2.eps' with all +% text in 10 point fonts and with height 5 inches. +% +% See also PREVIEWFIG, APPLYTOFIG, RESTOREFIG, PRINT. + +% Copyright 2000 Ben Hinkle +% Email bug reports and comments to bhinkle@mathworks.com + +if (nargin < 2) + error('Too few input arguments'); +end + +% exportfig(H, filename, [options,] ...) +H = varargin{1}; +if ~LocalIsHG(H,'figure') + error('First argument must be a handle to a figure.'); +end +filename = varargin{2}; +if ~ischar(filename) + error('Second argument must be a string.'); +end +paramPairs = {varargin{3:end}}; +if nargin > 2 + if isstruct(paramPairs{1}) + pcell = LocalToCell(paramPairs{1}); + paramPairs = {pcell{:}, paramPairs{2:end}}; + end +end +verstr = version; +majorver = str2num(verstr(1)); +defaults = []; +if majorver > 5 + if ispref('exportfig','defaults') + defaults = getpref('exportfig','defaults'); + end +elseif exist('getappdata') + defaults = getappdata(0,'exportfigdefaults'); +end +if ~isempty(defaults) + dcell = LocalToCell(defaults); + paramPairs = {dcell{:}, paramPairs{:}}; +end + +% Do some validity checking on param-value pairs +if (rem(length(paramPairs),2) ~= 0) + error(['Invalid input syntax. Optional parameters and values' ... + ' must be in pairs.']); +end + +auto.format = 'eps'; +auto.preview = 'none'; +auto.width = -1; +auto.height = -1; +auto.color = 'rgb'; +auto.defaultfontsize=10; +auto.fontsize = -1; +auto.fontmode='scaled'; +auto.fontmin = 8; +auto.fontmax = 60; +auto.defaultlinewidth = 1.0; +auto.linewidth = -1; +auto.linemode=[]; +auto.linemin = 0.5; +auto.linemax = 100; +auto.fontencoding = 'latin1'; +auto.renderer = []; +auto.resolution = []; +auto.stylemap = []; +auto.applystyle = 0; +auto.refobj = -1; +auto.bounds = 'tight'; +explicitbounds = 0; +auto.lockaxes = 1; +auto.separatetext = 0; +opts = auto; + +% Process param-value pairs +args = {}; +for k = 1:2:length(paramPairs) + param = lower(paramPairs{k}); + if ~ischar(param) + error('Optional parameter names must be strings'); + end + value = paramPairs{k+1}; + + switch (param) + case 'format' + opts.format = LocalCheckAuto(lower(value),auto.format); + if strcmp(opts.format,'preview') + error(['Format ''preview'' no longer supported. Use PREVIEWFIG' ... + ' instead.']); + end + case 'preview' + opts.preview = LocalCheckAuto(lower(value),auto.preview); + if ~strcmp(opts.preview,{'none','tiff'}) + error('Preview must be ''none'' or ''tiff''.'); + end + case 'width' + opts.width = LocalToNum(value, auto.width); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.width) + error('Width must be a numeric scalar > 0'); + end + end + case 'height' + opts.height = LocalToNum(value, auto.height); + if ~ischar(value) | ~strcmp(value,'auto') + if(~LocalIsPositiveScalar(opts.height)) + error('Height must be a numeric scalar > 0'); + end + end + case 'color' + opts.color = LocalCheckAuto(lower(value),auto.color); + if ~strcmp(opts.color,{'bw','gray','rgb','cmyk'}) + error('Color must be ''bw'', ''gray'',''rgb'' or ''cmyk''.'); + end + case 'fontmode' + opts.fontmode = LocalCheckAuto(lower(value),auto.fontmode); + if ~strcmp(opts.fontmode,{'scaled','fixed'}) + error('FontMode must be ''scaled'' or ''fixed''.'); + end + case 'fontsize' + opts.fontsize = LocalToNum(value,auto.fontsize); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontsize) + error('FontSize must be a numeric scalar > 0'); + end + end + case 'defaultfixedfontsize' + opts.defaultfontsize = LocalToNum(value,auto.defaultfontsize); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.defaultfontsize) + error('DefaultFixedFontSize must be a numeric scalar > 0'); + end + end + case 'fontsizemin' + opts.fontmin = LocalToNum(value,auto.fontmin); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontmin) + error('FontSizeMin must be a numeric scalar > 0'); + end + end + case 'fontsizemax' + opts.fontmax = LocalToNum(value,auto.fontmax); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.fontmax) + error('FontSizeMax must be a numeric scalar > 0'); + end + end + case 'fontencoding' + opts.fontencoding = LocalCheckAuto(lower(value),auto.fontencoding); + if ~strcmp(opts.fontencoding,{'latin1','adobe'}) + error('FontEncoding must be ''latin1'' or ''adobe''.'); + end + case 'linemode' + opts.linemode = LocalCheckAuto(lower(value),auto.linemode); + if ~strcmp(opts.linemode,{'scaled','fixed'}) + error('LineMode must be ''scaled'' or ''fixed''.'); + end + case 'linewidth' + opts.linewidth = LocalToNum(value,auto.linewidth); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linewidth) + error('LineWidth must be a numeric scalar > 0'); + end + end + case 'defaultfixedlinewidth' + opts.defaultlinewidth = LocalToNum(value,auto.defaultlinewidth); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.defaultlinewidth) + error(['DefaultFixedLineWidth must be a numeric scalar >' ... + ' 0']); + end + end + case 'linewidthmin' + opts.linemin = LocalToNum(value,auto.linemin); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linemin) + error('LineWidthMin must be a numeric scalar > 0'); + end + end + case 'linewidthmax' + opts.linemax = LocalToNum(value,auto.linemax); + if ~ischar(value) | ~strcmp(value,'auto') + if ~LocalIsPositiveScalar(opts.linemax) + error('LineWidthMax must be a numeric scalar > 0'); + end + end + case 'linestylemap' + opts.stylemap = LocalCheckAuto(value,auto.stylemap); + case 'renderer' + opts.renderer = LocalCheckAuto(lower(value),auto.renderer); + if ~ischar(value) | ~strcmp(value,'auto') + if ~strcmp(opts.renderer,{'painters','zbuffer','opengl'}) + error(['Renderer must be ''painters'', ''zbuffer'' or' ... + ' ''opengl''.']); + end + end + case 'resolution' + opts.resolution = LocalToNum(value,auto.resolution); + if ~ischar(value) | ~strcmp(value,'auto') + if ~(isnumeric(value) & (prod(size(value)) == 1) & (value >= 0)); + error('Resolution must be a numeric scalar >= 0'); + end + end + case 'applystyle' % means to apply the options and not export + opts.applystyle = 1; + case 'reference' + if ischar(value) + if strcmp(value,'auto') + opts.refobj = auto.refobj; + else + opts.refobj = eval(value); + end + else + opts.refobj = value; + end + if ~LocalIsHG(opts.refobj,'axes') + error('Reference object must evaluate to an axes handle.'); + end + case 'bounds' + opts.bounds = LocalCheckAuto(lower(value),auto.bounds); + explicitbounds = 1; + if ~strcmp(opts.bounds,{'tight','loose'}) + error('Bounds must be ''tight'' or ''loose''.'); + end + case 'lockaxes' + opts.lockaxes = LocalToNum(value,auto.lockaxes); + case 'separatetext' + opts.separatetext = LocalToNum(value,auto.separatetext); + otherwise + error(['Unrecognized option ' param '.']); + end +end + +% make sure figure is up-to-date +drawnow; + +allLines = findall(H, 'type', 'line'); +allText = findall(H, 'type', 'text'); +allAxes = findall(H, 'type', 'axes'); +allImages = findall(H, 'type', 'image'); +allLights = findall(H, 'type', 'light'); +allPatch = findall(H, 'type', 'patch'); +allSurf = findall(H, 'type', 'surface'); +allRect = findall(H, 'type', 'rectangle'); +allFont = [allText; allAxes]; +allColor = [allLines; allText; allAxes; allLights]; +allMarker = [allLines; allPatch; allSurf]; +allEdge = [allPatch; allSurf]; +allCData = [allImages; allPatch; allSurf]; + +old.objs = {}; +old.prop = {}; +old.values = {}; + +% Process format +if strncmp(opts.format,'eps',3) & ~strcmp(opts.preview,'none') + args = {args{:}, ['-' opts.preview]}; +end + +hadError = 0; +oldwarn = warning; +try + + % lock axes limits, ticks and labels if requested + if opts.lockaxes + old = LocalManualAxesMode(old, allAxes, 'TickMode'); + old = LocalManualAxesMode(old, allAxes, 'TickLabelMode'); + old = LocalManualAxesMode(old, allAxes, 'LimMode'); + end + + % Process size parameters + figurePaperUnits = get(H, 'PaperUnits'); + oldFigureUnits = get(H, 'Units'); + oldFigPos = get(H,'Position'); + set(H, 'Units', figurePaperUnits); + figPos = get(H,'Position'); + refsize = figPos(3:4); + if opts.refobj ~= -1 + oldUnits = get(opts.refobj, 'Units'); + set(opts.refobj, 'Units', figurePaperUnits); + r = get(opts.refobj, 'Position'); + refsize = r(3:4); + set(opts.refobj, 'Units', oldUnits); + end + aspectRatio = refsize(1)/refsize(2); + if (opts.width == -1) & (opts.height == -1) + opts.width = refsize(1); + opts.height = refsize(2); + elseif (opts.width == -1) + opts.width = opts.height * aspectRatio; + elseif (opts.height == -1) + opts.height = opts.width / aspectRatio; + end + wscale = opts.width/refsize(1); + hscale = opts.height/refsize(2); + sizescale = min(wscale,hscale); + old = LocalPushOldData(old,H,'PaperPositionMode', ... + get(H,'PaperPositionMode')); + set(H, 'PaperPositionMode', 'auto'); + newPos = [figPos(1) figPos(2)+figPos(4)*(1-hscale) ... + wscale*figPos(3) hscale*figPos(4)]; + set(H, 'Position', newPos); + set(H, 'Units', oldFigureUnits); + + % process line-style map + if ~isempty(opts.stylemap) & ~isempty(allLines) + oldlstyle = LocalGetAsCell(allLines,'LineStyle'); + old = LocalPushOldData(old, allLines, {'LineStyle'}, ... + oldlstyle); + newlstyle = oldlstyle; + if ischar(opts.stylemap) & strcmpi(opts.stylemap,'bw') + newlstyle = LocalMapColorToStyle(allLines); + else + try + newlstyle = feval(opts.stylemap,allLines); + catch + warning(['Skipping stylemap. ' lasterr]); + end + end + set(allLines,{'LineStyle'},newlstyle); + end + + % Process rendering parameters + switch (opts.color) + case {'bw', 'gray'} + if ~strcmp(opts.color,'bw') & strncmp(opts.format,'eps',3) + opts.format = [opts.format 'c']; + end + args = {args{:}, ['-d' opts.format]}; + + %compute and set gray colormap + oldcmap = get(H,'Colormap'); + newgrays = 0.30*oldcmap(:,1) + 0.59*oldcmap(:,2) + 0.11*oldcmap(:,3); + newcmap = [newgrays newgrays newgrays]; + old = LocalPushOldData(old, H, 'Colormap', oldcmap); + set(H, 'Colormap', newcmap); + + %compute and set ColorSpec and CData properties + old = LocalUpdateColors(allColor, 'color', old); + old = LocalUpdateColors(allAxes, 'xcolor', old); + old = LocalUpdateColors(allAxes, 'ycolor', old); + old = LocalUpdateColors(allAxes, 'zcolor', old); + old = LocalUpdateColors(allMarker, 'MarkerEdgeColor', old); + old = LocalUpdateColors(allMarker, 'MarkerFaceColor', old); + old = LocalUpdateColors(allEdge, 'EdgeColor', old); + old = LocalUpdateColors(allEdge, 'FaceColor', old); + old = LocalUpdateColors(allCData, 'CData', old); + + case {'rgb','cmyk'} + if strncmp(opts.format,'eps',3) + opts.format = [opts.format 'c']; + args = {args{:}, ['-d' opts.format]}; + if strcmp(opts.color,'cmyk') + args = {args{:}, '-cmyk'}; + end + else + args = {args{:}, ['-d' opts.format]}; + end + otherwise + error('Invalid Color parameter'); + end + if (~isempty(opts.renderer)) + args = {args{:}, ['-' opts.renderer]}; + end + if (~isempty(opts.resolution)) | ~strncmp(opts.format,'eps',3) + if isempty(opts.resolution) + opts.resolution = 0; + end + args = {args{:}, ['-r' int2str(opts.resolution)]}; + end + + % Process font parameters + if ~isempty(opts.fontmode) + oldfonts = LocalGetAsCell(allFont,'FontSize'); + oldfontunits = LocalGetAsCell(allFont,'FontUnits'); + set(allFont,'FontUnits','points'); + switch (opts.fontmode) + case 'fixed' + if (opts.fontsize == -1) + set(allFont,'FontSize',opts.defaultfontsize); + else + set(allFont,'FontSize',opts.fontsize); + end + case 'scaled' + if (opts.fontsize == -1) + scale = sizescale; + else + scale = opts.fontsize; + end + newfonts = LocalScale(oldfonts,scale,opts.fontmin,opts.fontmax); + set(allFont,{'FontSize'},newfonts); + otherwise + error('Invalid FontMode parameter'); + end + old = LocalPushOldData(old, allFont, {'FontSize'}, oldfonts); + old = LocalPushOldData(old, allFont, {'FontUnits'}, oldfontunits); + end + if strcmp(opts.fontencoding,'adobe') & strncmp(opts.format,'eps',3) + args = {args{:}, '-adobecset'}; + end + + % Process line parameters + if ~isempty(opts.linemode) + oldlines = LocalGetAsCell(allMarker,'LineWidth'); + old = LocalPushOldData(old, allMarker, {'LineWidth'}, oldlines); + switch (opts.linemode) + case 'fixed' + if (opts.linewidth == -1) + set(allMarker,'LineWidth',opts.defaultlinewidth); + else + set(allMarker,'LineWidth',opts.linewidth); + end + case 'scaled' + if (opts.linewidth == -1) + scale = sizescale; + else + scale = opts.linewidth; + end + newlines = LocalScale(oldlines, scale, opts.linemin, opts.linemax); + set(allMarker,{'LineWidth'},newlines); + end + end + + % adjust figure bounds to surround axes + if strcmp(opts.bounds,'tight') + if (~strncmp(opts.format,'eps',3) & LocalHas3DPlot(allAxes)) | ... + (strncmp(opts.format,'eps',3) & opts.separatetext) + if (explicitbounds == 1) + warning(['Cannot compute ''tight'' bounds. Using ''loose''' ... + ' bounds.']); + end + opts.bounds = 'loose'; + end + end + warning('off'); + if ~isempty(allAxes) + if strncmp(opts.format,'eps',3) + if strcmp(opts.bounds,'loose') + args = {args{:}, '-loose'}; + end + old = LocalPushOldData(old,H,'Position', oldFigPos); + elseif strcmp(opts.bounds,'tight') + oldaunits = LocalGetAsCell(allAxes,'Units'); + oldapos = LocalGetAsCell(allAxes,'Position'); + oldtunits = LocalGetAsCell(allText,'units'); + oldtpos = LocalGetAsCell(allText,'Position'); + set(allAxes,'units','points'); + apos = LocalGetAsCell(allAxes,'Position'); + oldunits = get(H,'Units'); + set(H,'units','points'); + origfr = get(H,'position'); + fr = []; + for k=1:length(allAxes) + if ~strcmpi(get(allAxes(k),'Tag'),'legend') + axesR = apos{k}; + r = LocalAxesTightBoundingBox(axesR, allAxes(k)); + r(1:2) = r(1:2) + axesR(1:2); + fr = LocalUnionRect(fr,r); + end + end + if isempty(fr) + fr = [0 0 origfr(3:4)]; + end + for k=1:length(allAxes) + ax = allAxes(k); + r = apos{k}; + r(1:2) = r(1:2) - fr(1:2); + set(ax,'Position',r); + end + old = LocalPushOldData(old, allAxes, {'Position'}, oldapos); + old = LocalPushOldData(old, allText, {'Position'}, oldtpos); + old = LocalPushOldData(old, allText, {'Units'}, oldtunits); + old = LocalPushOldData(old, allAxes, {'Units'}, oldaunits); + old = LocalPushOldData(old, H, 'Position', oldFigPos); + old = LocalPushOldData(old, H, 'Units', oldFigureUnits); + r = [origfr(1) origfr(2)+origfr(4)-fr(4) fr(3:4)]; + set(H,'Position',r); + else + args = {args{:}, '-loose'}; + old = LocalPushOldData(old,H,'Position', oldFigPos); + end + end + + % Process text in a separate file if needed + if opts.separatetext & ~opts.applystyle + % First hide all text and export + oldtvis = LocalGetAsCell(allText,'visible'); + set(allText,'visible','off'); + oldax = LocalGetAsCell(allAxes,'XTickLabel',1); + olday = LocalGetAsCell(allAxes,'YTickLabel',1); + oldaz = LocalGetAsCell(allAxes,'ZTickLabel',1); + null = cell(length(oldax),1); + [null{:}] = deal([]); + set(allAxes,{'XTickLabel'},null); + set(allAxes,{'YTickLabel'},null); + set(allAxes,{'ZTickLabel'},null); + print(H, filename, args{:}); + set(allText,{'Visible'},oldtvis); + set(allAxes,{'XTickLabel'},oldax); + set(allAxes,{'YTickLabel'},olday); + set(allAxes,{'ZTickLabel'},oldaz); + % Now hide all non-text and export as eps in painters + [path, name, ext] = fileparts(filename); + tfile = fullfile(path,[name '_t.eps']); + tfile2 = fullfile(path,[name '_t2.eps']); + foundRenderer = 0; + for k=1:length(args) + if strncmp('-d',args{k},2) + args{k} = '-deps'; + elseif strncmp('-zbuffer',args{k},8) | ... + strncmp('-opengl', args{k},6) + args{k} = '-painters'; + foundRenderer = 1; + end + end + if ~foundRenderer + args = {args{:}, '-painters'}; + end + allNonText = [allLines; allLights; allPatch; ... + allImages; allSurf; allRect]; + oldvis = LocalGetAsCell(allNonText,'visible'); + oldc = LocalGetAsCell(allAxes,'color'); + oldaxg = LocalGetAsCell(allAxes,'XGrid'); + oldayg = LocalGetAsCell(allAxes,'YGrid'); + oldazg = LocalGetAsCell(allAxes,'ZGrid'); + [null{:}] = deal('off'); + set(allAxes,{'XGrid'},null); + set(allAxes,{'YGrid'},null); + set(allAxes,{'ZGrid'},null); + set(allNonText,'Visible','off'); + set(allAxes,'Color','none'); + print(H, tfile2, args{:}); + set(allNonText,{'Visible'},oldvis); + set(allAxes,{'Color'},oldc); + set(allAxes,{'XGrid'},oldaxg); + set(allAxes,{'YGrid'},oldayg); + set(allAxes,{'ZGrid'},oldazg); + %hack up the postscript file + fid1 = fopen(tfile,'w'); + fid2 = fopen(tfile2,'r'); + line = fgetl(fid2); + while ischar(line) + if strncmp(line,'%%Title',7) + fprintf(fid1,'%s\n',['%%Title: ', tfile]); + elseif (length(line) < 3) + fprintf(fid1,'%s\n',line); + elseif ~strcmp(line(end-2:end),' PR') & ... + ~strcmp(line(end-1:end),' L') + fprintf(fid1,'%s\n',line); + end + line = fgetl(fid2); + end + fclose(fid1); + fclose(fid2); + delete(tfile2); + + elseif ~opts.applystyle + drawnow; + print(H, filename, args{:}); + end + warning(oldwarn); + +catch + warning(oldwarn); + hadError = 1; +end + +% Restore figure settings +if opts.applystyle + varargout{1} = old; +else + for n=1:length(old.objs) + if ~iscell(old.values{n}) & iscell(old.prop{n}) + old.values{n} = {old.values{n}}; + end + set(old.objs{n}, old.prop{n}, old.values{n}); + end +end + +if hadError + error(deblank(lasterr)); +end + +% +% Local Functions +% + +function outData = LocalPushOldData(inData, objs, prop, values) +outData.objs = {objs, inData.objs{:}}; +outData.prop = {prop, inData.prop{:}}; +outData.values = {values, inData.values{:}}; + +function cellArray = LocalGetAsCell(fig,prop,allowemptycell); +cellArray = get(fig,prop); +if nargin < 3 + allowemptycell = 0; +end +if ~iscell(cellArray) & (allowemptycell | ~isempty(cellArray)) + cellArray = {cellArray}; +end + +function newArray = LocalScale(inArray, scale, minv, maxv) +n = length(inArray); +newArray = cell(n,1); +for k=1:n + newArray{k} = min(maxv,max(minv,scale*inArray{k}(1))); +end + +function gray = LocalMapToGray1(color) +gray = color; +if ischar(color) + switch color(1) + case 'y' + color = [1 1 0]; + case 'm' + color = [1 0 1]; + case 'c' + color = [0 1 1]; + case 'r' + color = [1 0 0]; + case 'g' + color = [0 1 0]; + case 'b' + color = [0 0 1]; + case 'w' + color = [1 1 1]; + case 'k' + color = [0 0 0]; + end +end +if ~ischar(color) + gray = 0.30*color(1) + 0.59*color(2) + 0.11*color(3); +end + +function newArray = LocalMapToGray(inArray); +n = length(inArray); +newArray = cell(n,1); +for k=1:n + color = inArray{k}; + if ~isempty(color) + color = LocalMapToGray1(color); + end + if isempty(color) | ischar(color) + newArray{k} = color; + else + newArray{k} = [color color color]; + end +end + +function newArray = LocalMapColorToStyle(inArray); +inArray = LocalGetAsCell(inArray,'Color'); +n = length(inArray); +newArray = cell(n,1); +styles = {'-','--',':','-.'}; +uniques = []; +nstyles = length(styles); +for k=1:n + gray = LocalMapToGray1(inArray{k}); + if isempty(gray) | ischar(gray) | gray < .05 + newArray{k} = '-'; + else + if ~isempty(uniques) & any(gray == uniques) + ind = find(gray==uniques); + else + uniques = [uniques gray]; + ind = length(uniques); + end + newArray{k} = styles{mod(ind-1,nstyles)+1}; + end +end + +function newArray = LocalMapCData(inArray); +n = length(inArray); +newArray = cell(n,1); +for k=1:n + color = inArray{k}; + if (ndims(color) == 3) & isa(color,'double') + gray = 0.30*color(:,:,1) + 0.59*color(:,:,2) + 0.11*color(:,:,3); + color(:,:,1) = gray; + color(:,:,2) = gray; + color(:,:,3) = gray; + end + newArray{k} = color; +end + +function outData = LocalUpdateColors(inArray, prop, inData) +value = LocalGetAsCell(inArray,prop); +outData.objs = {inData.objs{:}, inArray}; +outData.prop = {inData.prop{:}, {prop}}; +outData.values = {inData.values{:}, value}; +if (~isempty(value)) + if strcmp(prop,'CData') + value = LocalMapCData(value); + else + value = LocalMapToGray(value); + end + set(inArray,{prop},value); +end + +function bool = LocalIsPositiveScalar(value) +bool = isnumeric(value) & ... + prod(size(value)) == 1 & ... + value > 0; + +function value = LocalToNum(value,auto) +if ischar(value) + if strcmp(value,'auto') + value = auto; + else + value = str2num(value); + end +end + +%convert a struct to {field1,val1,field2,val2,...} +function c = LocalToCell(s) +f = fieldnames(s); +v = struct2cell(s); +opts = cell(2,length(f)); +opts(1,:) = f; +opts(2,:) = v; +c = {opts{:}}; + +function c = LocalIsHG(obj,hgtype) +c = 0; +if (length(obj) == 1) & ishandle(obj) + c = strcmp(get(obj,'type'),hgtype); +end + +function c = LocalHas3DPlot(a) +zticks = LocalGetAsCell(a,'ZTickLabel'); +c = 0; +for k=1:length(zticks) + if ~isempty(zticks{k}) + c = 1; + return; + end +end + +function r = LocalUnionRect(r1,r2) +if isempty(r1) + r = r2; +elseif isempty(r2) + r = r1; +elseif max(r2(3:4)) > 0 + left = min(r1(1),r2(1)); + bot = min(r1(2),r2(2)); + right = max(r1(1)+r1(3),r2(1)+r2(3)); + top = max(r1(2)+r1(4),r2(2)+r2(4)); + r = [left bot right-left top-bot]; +else + r = r1; +end + +function c = LocalLabelsMatchTicks(labs,ticks) +c = 0; +try + t1 = num2str(ticks(1)); + n = length(ticks); + tend = num2str(ticks(n)); + c = strncmp(labs(1),t1,length(labs(1))) & ... + strncmp(labs(n),tend,length(labs(n))); +end + +function r = LocalAxesTightBoundingBox(axesR, a) +r = []; +atext = findall(a,'type','text','visible','on'); +if ~isempty(atext) + set(atext,'units','points'); + res=LocalGetAsCell(atext,'extent'); + for n=1:length(atext) + r = LocalUnionRect(r,res{n}); + end +end +if strcmp(get(a,'visible'),'on') + r = LocalUnionRect(r,[0 0 axesR(3:4)]); + oldunits = get(a,'fontunits'); + set(a,'fontunits','points'); + label = text(0,0,'','parent',a,... + 'units','points',... + 'fontsize',get(a,'fontsize'),... + 'fontname',get(a,'fontname'),... + 'fontweight',get(a,'fontweight'),... + 'fontangle',get(a,'fontangle'),... + 'visible','off'); + fs = get(a,'fontsize'); + + % handle y axis tick labels + ry = [0 -fs/2 0 axesR(4)+fs]; + ylabs = get(a,'yticklabels'); + yticks = get(a,'ytick'); + maxw = 0; + if ~isempty(ylabs) + for n=1:size(ylabs,1) + set(label,'string',ylabs(n,:)); + ext = get(label,'extent'); + maxw = max(maxw,ext(3)); + end + if ~LocalLabelsMatchTicks(ylabs,yticks) & ... + strcmp(get(a,'xaxislocation'),'bottom') + ry(4) = ry(4) + 1.5*ext(4); + end + if strcmp(get(a,'yaxislocation'),'left') + ry(1) = -(maxw+5); + else + ry(1) = axesR(3); + end + ry(3) = maxw+5; + r = LocalUnionRect(r,ry); + end + + % handle x axis tick labels + rx = [0 0 0 fs+5]; + xlabs = get(a,'xticklabels'); + xticks = get(a,'xtick'); + if ~isempty(xlabs) + if strcmp(get(a,'xaxislocation'),'bottom') + rx(2) = -(fs+5); + if ~LocalLabelsMatchTicks(xlabs,xticks); + rx(4) = rx(4) + 2*fs; + rx(2) = rx(2) - 2*fs; + end + else + rx(2) = axesR(4); + % exponent is still below axes + if ~LocalLabelsMatchTicks(xlabs,xticks); + rx(4) = rx(4) + axesR(4) + 2*fs; + rx(2) = -2*fs; + end + end + set(label,'string',xlabs(1,:)); + ext1 = get(label,'extent'); + rx(1) = -ext1(3)/2; + set(label,'string',xlabs(size(xlabs,1),:)); + ext2 = get(label,'extent'); + rx(3) = axesR(3) + (ext2(3) + ext1(3))/2; + r = LocalUnionRect(r,rx); + end + set(a,'fontunits',oldunits); + delete(label); +end + +function c = LocalManualAxesMode(old, allAxes, base) +xs = ['X' base]; +ys = ['Y' base]; +zs = ['Z' base]; +oldXMode = LocalGetAsCell(allAxes,xs); +oldYMode = LocalGetAsCell(allAxes,ys); +oldZMode = LocalGetAsCell(allAxes,zs); +old = LocalPushOldData(old, allAxes, {xs}, oldXMode); +old = LocalPushOldData(old, allAxes, {ys}, oldYMode); +old = LocalPushOldData(old, allAxes, {zs}, oldZMode); +set(allAxes,xs,'manual'); +set(allAxes,ys,'manual'); +set(allAxes,zs,'manual'); +c = old; + +function val = LocalCheckAuto(val, auto) +if ischar(val) & strcmp(val,'auto') + val = auto; +end diff --git a/sourcecodes/bnt-master/SLP/misc/find_nodes_in_undirected_component.m b/sourcecodes/bnt-master/SLP/misc/find_nodes_in_undirected_component.m new file mode 100644 index 00000000..7ba14eca --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/find_nodes_in_undirected_component.m @@ -0,0 +1,18 @@ +function unprocessed = find_unprocessed(dag) +% unprocessed = find_unprocessed(dag) +% +% francois.olivier.c.h@gmail.com + +undirected_edges = dag.*dag'; +[unprocessed, tmp] = find(undirected_edges) +unprocessed = unique(unprocessed); +% N = size(dag,1); +% unprocessed = []; +% for i=1:(N-1) +% for j=(i+1):N +% if dag(i,j)==1 & dag(j,i)==1 +% unprocessed = [unprocessed,i,j]; +% end +% end +% end +% unprocessed = unique(unprocessed); diff --git a/sourcecodes/bnt-master/SLP/misc/foptions.m b/sourcecodes/bnt-master/SLP/misc/foptions.m new file mode 100644 index 00000000..f2976bb9 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/foptions.m @@ -0,0 +1,11 @@ +function opt_vect = foptions() +% FOPTIONS Sets default parameters for optimisation routines +% For compatibility with MATLAB's foptions() +% +% Copyright (c) Dharmesh Maniyar, Ian T. Nabney (2004) + +opt_vect = zeros(1, 18); +opt_vect(2:3) = 1e-4; +opt_vect(4) = 1e-6; +opt_vect(16) = 1e-8; +opt_vect(17) = 0.1; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/gener_MAR_net.m b/sourcecodes/bnt-master/SLP/misc/gener_MAR_net.m new file mode 100644 index 00000000..64740076 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/gener_MAR_net.m @@ -0,0 +1,104 @@ +function bnet_miss = gener_MAR_net(bnet_orig, base_proba) +% function bnet_miss = gener_MAR_net(bnet_orig, base_proba) +% +% bnet_orig : a bnet +% base_proba : a probability for value to be missing +% +% bnet_miss : a bnet that could be used in gener_data_from_bnet_miss function +% to generate incomplete MAR dataset +% +% Francois.Olivier.C.H@gmail.com + +%%%%%%%%%%%% INIT +if nargin<2, error('Not enougth arguments'); end + +% création du réseau +dag = bnet_orig.dag; +N = size(dag,2); +ns = bnet_orig.node_sizes; + + ns_miss = zeros(1,3*N); + ns_miss(1:N) = ns; + ns_miss(N+1:2*N) = 2*ones(1,N); % 1= node i-N present, 2= node i-N missing + ns_miss(2*N+1:3*N) = ns+1; % 1:ns, absent + + dag_miss = zeros(3*N,3*N); + dag_miss(1:N,1:N) = dag; +% dag_miss(2*N+1:3*N,N+1:2*N)=mk_rnd_dag(N,N-ceil(rand*N/2)); + lim = 1+(rand>.4)+(rand>.65)+(rand>.9); + dag_miss(2*N+1:3*N,N+1:2*N)=mk_rnd_dag(N,lim); + + for i=1:N, dag_miss(i,2*N+i)=1; dag_miss(N+i,2*N+i)=1; dag_miss(2*N+i,i)=0; dag_miss(2*N+i,N+i)=0; end + + bnet_miss = mk_bnet(dag_miss, ns_miss); + CPT = CPT_from_bnet(bnet_orig, 0); + for i=1:N + bnet_miss.CPD{i} = tabular_CPD (bnet_miss, i, CPT{i}); + end + + % CPD of nodes M + for i=1:N, + if find(bnet_miss.order==i)N | round(i)~=i, i = input('Which node ? '); end +% fam = find(dag(:,i)==1)'; +% fam_miss = find(dag_miss(:,N+i)==1)'; +% cas = -ones(1, length(fam_miss)+1); +% familly = [fam_miss, N+i]; +% p=-1; +% while p<0 | p>1, p = input(' - A priori probability for this node to be missing ? ');end +% semisize = prod(ns_miss(fam_miss)); +% CPT = zeros(1,2*semisize); +% CPT(1:semisize) = 1-p; +% CPT(semisize+1:2*semisize) = p; +% bnet_miss.CPD{N+i} = tabular_CPD (bnet_miss, N+i, CPT); +% b=-1; +% while ~(b==0 | b==1), b = input('Would you like to change a probability of a node to be missing (1 for yes, 0 for no) ? ');end +% end +% end +% +% +% else % automatic generation + +%%%%%%%%%%%% creating BETAs +% %% To use multiple of 5 percent in probs +% if N<=25, +% BETA = gener_problist(base_proba, N); +% else +% nboucles = floor(N/25); +% BETA = []; +% for i=1:nboucles +% BETA1 = gener_problist(base_proba, 25); +% BETA = [BETA, BETA1]; +% end +% nreste = rem(N,25); +% BETA1 = gener_problist(base_proba, nreste); +% BETA = [BETA, BETA1]; +% end + BETA = gener_discrete_dist(N, base_proba); + + order=[]; + missdagtmp = bnet_miss.dag(N+1:2*N,N+1:2*N); + unprocessed = 1:N; + while ~isempty(unprocessed) + npar=[]; + for i=1:N, npar(end+1)=length(parents(missdagtmp,i));end, + [npar, ord] = sort(npar); + while ~ismember(ord(1),unprocessed) + ord=ord(2:end); + end + order = [order, ord(1)]; + missdagtmp(ord(1),:)=0; + unprocessed = mysetdiff(unprocessed,ord(1)); + end + +%%%%%%%%%%%% Update CPT with MCAR process +for i=1:length(BETA) + fam_miss = find(dag_miss(:,N+order(i))==1)'; + p=BETA(i); + semisize = prod(ns_miss(fam_miss)); + + if isempty(fam_miss), + CPT = zeros(1,2*semisize); + CPT(1:semisize) = 1-p; + CPT(semisize+1:2*semisize) = p; + bnet_miss.CPD{N+order(i)} = tabular_CPD (bnet_miss, N+order(i), CPT); + else + + %node = N+order(i) + %for k=1:semisize + % XI(k) = eval_xi(bnet_miss, N+order(i), k); + % %XI(k+semisize)=1-XI(k); + %end + %MUi1 = zeros(1,semisize); + %MUi1 = gener_mu(p, semisize, XI); + + MUi1k = gener_discrete_dist(semisize, p); + CPT = zeros(1,2*semisize); + CPT(1:semisize) = 1-MUi1k; + CPT(semisize+1:2*semisize) = MUi1k; + bnet_miss.CPD{N+order(i)} = tabular_CPD (bnet_miss, N+order(i), CPT); + + end +% end +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/gener_NMAR_data.m b/sourcecodes/bnt-master/SLP/misc/gener_NMAR_data.m new file mode 100644 index 00000000..4cff44d6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/gener_NMAR_data.m @@ -0,0 +1,290 @@ +function [data, comp_data, bnet_miss] = gener_NMAR_dataset(bnet_orig, m, bnet_miss, upd) +% [NMAR_data] = gener_NMAR_data(bnet_miss, length_of_dataset) +% +% this function takes in input a bnet that can be used to generate NMAR data. +% this bnet bnet_miss can be creating by the function gener_NMAR_bnet. +% +% - comp_data (array) is a dataset that was generate by the bnet_orig that you enter in gener_NMAR_bnet +% - NMAR_data (cell array) is the dataset compdata that was emptyied by the NMAR process encodes in bnet_miss +% +% optional : +% - bnet_miss : an old bnet_miss built by this function +% - upd==1 if you want to update the bnet_miss +% +% [data, comp_data, bnet_miss] = gener_NMAR_dataset(bnet_orig, m, bnet_miss, upd); +% +% version 0.5 : june 8th 2005, olivier.francois@insa-rouen.fr +% +% TO DO : +% - allow the combinaison of a missing state of one variable and another state of another variable to have influence +% - allow the introduction of new nodes and specify which nodes it influence and which nodes has influence on it (it will also satisfy the first task then) +% + + +% INIT +N = size(bnet_orig.dag,2); +if mod(N,2)~=0, error('The number of nodes must be even'); end +if nargin<4, upd =0; end + +% fisrt rules +if nargin<3, + l1=[]; l2=[]; lp=[]; b=-1; + while ~(b==0 | b==1), b = input('Would you like to make a node missing when another one is missing (1 for yes, 0 for no) ? '); end +else + b=-1; + if upd, while ~(b==0 | b==1), b = input('Would you like to add rules (1 for yes, 0 for no) ? '); end + l1=bnet_miss.list{1}; + l2=bnet_miss.list{2}; + lp=bnet_miss.list{3}; + else + l1=[]; l2=[]; lp=[]; b=-1; + end +end + +while b==1, + n = input('The firts node ? '); + s = input('The node that have to be missing when this one is missing ? '); + p = input('The probability of the second node to be missing ? '); + l1 = [l1, n]; l2 = [l2, s]; lp=[lp, p]; + b=-1; + while ~(b==0 | b==1), b = input('Another one (1 for yes, 0 for no) ? '); end +end +bb = length(l1); + + +if nargin>=3, + bnet_miss = gener_NMAR_bnet(upd, bnet_orig, bnet_miss); +else + bnet_miss = gener_NMAR_bnet(1, bnet_orig); + bnet_miss.list={l1; l2; lp}; +%%%%%%%%%%% SAVING FILE + ss = 1; + if nargin == 2 | upd==1, ss = input('Would you like to save the bnet of the NMAR process you have made (1 for yes) ? '); end + if ss == 1, + ddd = datestr(now); + ddd([12 15 18])='-' ; + fnout=['NMAR-bnet-' ddd '.mat']; + eval(['save ' fnout ' bnet_miss']); + fprintf(' The bnet for NMAR process was saved as : %s\n',fnout); + end +end %if nargin + +% Generation of a complete dataset +if N>9 & m>2000, disp(' ! It could take a long time...'); end +data = cell(N,m); +for l = 1:m, data(:,l) = sample_bnet(bnet_orig); end +disp('Complete data have been creating.'); + +% Generation of a NMAR dataset +miss_array = cell(2*N,m); +vide = cell(1,N); l= 1; +while l <= m, + ev(1:N) = data(:,l); ev(N+1:2*N) = vide; + miss_array(:,l) = sample_bnet(bnet_miss, 'evidence', ev); + % apply simple rule of missingness + ev2 = cell2mat(miss_array(N+1:2*N, l)); + if bb, + missl1 = myintersect(find(ev2==2), l1); + if ~isempty(missl1), + for i=1:length(l1), + if ev2(l1(i))==2, if rand1, p = input('Base probability of a value to be missing ? '); end + for i=1:N + fam = find(dag_miss(:,N+i)==1)'; + semisize = prod(ns_miss(fam)); % as node N+i is binary to say i is present or missing + CPT = zeros(1,2*semisize); + CPT(1:semisize) = 1-p; + CPT(semisize+1:2*semisize) = p; + bnet_miss.CPD{N+i} = tabular_CPD (bnet_miss, N+i, CPT); + end +end +end + +b=-1; +while ~(b==0 | b==1), b = input('Would you like to change a probability of a node to be missing (1 for yes, 0 for no) ? '); end +if b, disp(' BE CAREFULL !! New rules can overwrite old ones partialy or fully !! So the order of entries is important'); end + +%%%%%%%%%%%% Update CPT with NMAR process +while b + fprintf('Nodes are from 1 to %d. ',N); + i=0; + while i<1 | i>N | round(i)~=i, i = input('Which node ? '); end + fam = find(dag(:,i)==1)'; + fam_miss = find(dag_miss(:,N+i)==1)'; + cas = -ones(1, length(fam_miss)+1); + familly = [fam_miss, N+i]; + fprintf('States are from 1 to %d (-1 for any states, -2 to cancel). For which state of the variable %d ?', ns(i), i); + state=-3; + while state<-2 | state>ns(i) | round(state)~=state | state==0, state = input(' ');end + if isempty(fam), + if state==-1, + p=-1; + while p<0 | p>1, p = input(' - A priori probability for this node to be missing ? ');end + semisize = prod(ns_miss(fam_miss)); + CPT = zeros(1,2*semisize); + CPT(1:semisize) = 1-p; + CPT(semisize+1:2*semisize) = p; + bnet_miss.CPD{N+i} = tabular_CPD (bnet_miss, N+i, CPT); + elseif state~=-2 + cas = state; + CPT = CPT_from_bnet(bnet_miss); + CPT = CPT{N+i}; + p=-1; + while p<0 | p>1, p = input(' - A priori probability for this node to be missing in this state ? ');end + ind = subv2ind(ns_miss(familly),[cas, 1]); + CPT(ind)=1-p; + ind = subv2ind(ns_miss(familly),[cas, 2]); + CPT(ind)=p; + bnet_miss.CPD{N+i} = tabular_CPD (bnet_miss, N+i, CPT); + end + else + if state>-2, + siz=length(cas); + place = find(fam_miss==i); + cas(place) = state; + + for k = fam, + state=-3; + fprintf(' - For the parent named %d, states are from 1 to %d (-1 for any states of this parent). ',k, ns(k)); + while state<0 | state>ns(k) | round(state)~=state, state = input('Which state ? ');end + %if state==0, + % place = find(fam_miss==(fam_miss(k)+N)); + % cas(place) = 2; % Missing + %elseif state==-2, % a changer ??? + % disp(' This case is buggy, taking missing state instand to minimise influence.'); + % place = find(fam_miss==(fam_miss(k)+N)); + % cas(place) = 2; + %elseif state~=0 & state~=-2, + place = find(fam_miss==(fam_miss(k))); + cas(place) = state; % Present + if state~=-1; place = find(fam_miss==(fam_miss(k)+N)); cas(place) = 1; end + %end + end + + p=-1; + while p<0 | p>1, p = input('Probability in this case of the value to be missing ? ');end + CPT = CPT_from_bnet(bnet_miss); + CPT = CPT{N+i}; + + cas(end) = 1; % i is present + subcas_names = find(cas==-1); + if isempty(subcas_names), + ind = subv2ind(ns_miss(familly),cas); + CPT(ind) = 1-p; + else + subcas = ones(1, length(subcas_names)); + continu = 1; + while continu + cas(subcas_names) = subcas; + ind = subv2ind(ns_miss(familly),cas); + CPT(ind) = 1-p; + [subcas, continu] = next_case(subcas, ns_miss(familly(subcas_names))); + end + end + + cas(end)=2; % i is missing + if isempty(subcas_names), + ind = subv2ind(ns_miss(familly),cas); + CPT(ind) = p; + else + subcas = ones(1, length(subcas_names)); + continu = 1; + while continu + cas(subcas_names) = subcas; + ind = subv2ind(ns_miss(familly),cas); + CPT(ind) = p; + [subcas, continu] = next_case(subcas, ns_miss(familly(subcas_names))); + end + end + mass = sum(CPT, length(size(CPT))); + while length(size(mass))>2, mass = prod(mass, length(size(mass))); end + mass = prod(prod(mass)); + if mass~=1, disp('not a proba...'); end + bnet_miss.CPD{N+i} = tabular_CPD (bnet_miss, N+i, CPT); + end %if state~=-2 for the node + end %if isempty(fam), + b=-1; + while ~(b==0 | b==1), b = input('Would you like to change a probability of a node to be missing (1 for yes, 0 for no) ? ');end +end + diff --git a/sourcecodes/bnt-master/SLP/misc/gener_data_from_bnet_miss.m b/sourcecodes/bnt-master/SLP/misc/gener_data_from_bnet_miss.m new file mode 100644 index 00000000..3508daa0 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/gener_data_from_bnet_miss.m @@ -0,0 +1,103 @@ +function [data, comp_data, bnet_miss, taux, bnet_orig, notok, d] = gener_data_from_bnet_miss(bnet_miss, m, base_proba ,v, testdata) +% [data, comp_data, bnet_miss, taux, bnet_orig, notok] = gener_data_from_bnet_miss(bnet_miss, m, base_proba ,v, aretestdata) +% +% bnet_miss : see gener_[MCAR or MAR]_net function +% m : the length of the dataset +% if base_proba==0 or does not exist the x2_test will be passed +% v==1 to enter the verbose mode +% aretestdata==1 to always build the same dataset <-- rand('state',0) +% +% Francois.Olivier.C.H@gmail.com + +% Initialisation + +if nargin<5, testdata = 0; end +if nargin<4, v = 0; end + +N2 = length(bnet_miss.dag); +if mod(N2,3)~=0, error('The number of nodes must be even in bnet_miss'); end +N = length(bnet_miss.dag)/3; + +if nargin<3, base_proba=0; end +if nargin<2, error('Not enougth parameters'); end + +% CHOOSE THE TEST POWER (only affect 'notok' value) + chi2_0_1_1fd = 2.705 ; + chi2_0_05_1fd = 3.841 ; + chi2_0_01_1fd = 6.635 ; + chi2_0_001_1fd = 10.827 ; + chi2_0_0001_1fd = 15.137 ; + choice = chi2_0_001_1fd; +notok=0; +clear chi2_0_1_1fd chi2_0_05_1fd chi2_0_01_1fd chi2_0_001_1fd chi2_0_0001_1fd + +% Recovering bnet_orig + +dag = bnet_miss.dag(1:N,1:N); +bnet_orig = mk_bnet(dag, bnet_miss.node_sizes(1:N)); +CPT = CPT_from_bnet(bnet_miss, 0); +for i=1:N, bnet_orig.CPD{i} = tabular_CPD(bnet_orig, i, CPT{i}); end + +% Generation of complete data + +if testdata, rand('state',0); randn('state',0); end + +data = cell(N,m); +for l = 1:m, data(:,l) = sample_bnet(bnet_orig); end +fprintf('Complete data have been created.'); + +% Generation of missing array + +miss_array = cell(3*N,m); +vide = cell(1,2*N); l= 1; +while l <= m, + ev(1:N) = data(:,l); ev(N+1:3*N) = vide; + miss_array(:,l) = sample_bnet(bnet_miss, 'evidence', ev); + % apply simple rule of missingness + ev2 = cell2mat(miss_array(N+1:2*N, l)); + % verification that we have not a completly missing sample + ev2 = 3-ev2; + if prod(ev2)==1, + if v, fprintf(' - %d, one completly missing sample removed', l);end + else l=l+1; + end + if v, if mod(l,250)==0, fprintf('\n - %d',l); end, end +end +fprintf('\n'); + +% Generation of incomplete dataset + + %% TO REPLACE THE CELL ARRAY FOR ouput data + %% WITH A MATRIX WITH A SPECIAL CASE (size+1) + %% FOR MISSING DATA, SIMPLY REPLACE 1 by 0 +if 1, %% HERE + miss_array = bnt_to_mat(miss_array(N+1:2*N, :)); + miss_array = 2-miss_array; + data = bnt_to_mat(data); + comp_data = data; + data = data.*miss_array; + data = mat_to_bnt(data, 0); +else + comp_data = bnt_to_mat(miss_array(1:N,:),0); + data = bnt_to_mat(miss_array(2*N+1:3*N,:),0); + miss_array = bnt_to_mat(miss_array(N+1:2*N, :)); + miss_array = 2-miss_array; +end +fprintf('Incomplete dataset have been created.\n'); + +% Verification of the Rate of missing data + +if base_proba, + [XX, YY]=find(miss_array==0); + nbr_miss = length(YY); + taux = nbr_miss/N/m; + if v, fprintf('There is %2.2f percent of missing data\n', round(taux*10000)/100); end + + % Khi2 test between taux and base_proba for m*N + toto = m*N; + d = ((nbr_miss-base_proba*toto)^2)/(base_proba*toto) + (((toto-nbr_miss)-(1-base_proba)*toto)^2)/((1-base_proba)*toto); + if d>choice, + fprintf('THE DATASET DO NOT RESPECT %2.1f%% OF MISSING DATA (%2.1f%%, Khi2 : %2.1f > %2.1f)\n', round(base_proba*10000)/100, round(taux*10000)/100, d, choice); + notok = 1; + end +end diff --git a/sourcecodes/bnt-master/SLP/misc/gener_discrete_dist.m b/sourcecodes/bnt-master/SLP/misc/gener_discrete_dist.m new file mode 100644 index 00000000..4f131fcb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/gener_discrete_dist.m @@ -0,0 +1,12 @@ +function beta = gener_discrete_dist(N, alpha) +% beta = gener_beta(N, masse) +% +% using the logistic function to create a random vector +% of discrete probability distribution on N values +% if masse~=1 then sum(beta)==masse and this is not a probability +% +% francois.olivier.c.h@gmail.com + +if nargin==1, alpha=1; end +gamma = rand(1,N); +beta = alpha*N*(exp(gamma)/sum(exp(gamma))); diff --git a/sourcecodes/bnt-master/SLP/misc/gener_empty_cache.m b/sourcecodes/bnt-master/SLP/misc/gener_empty_cache.m new file mode 100644 index 00000000..6e9669e5 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/gener_empty_cache.m @@ -0,0 +1,26 @@ +function cache = gener_empty_cache(N,L) +% cache = gener_empty_cache(number_of_nodes,lenght_of_cache) +% +% exemple for 2 nodes with cache of size 5 : +% +% cache = +% 5 b 0 0 0 --> 1st empty place and b==1 iff the cache is full +% 0 0 1 -239.12 1 --> 1st familly in the cache (node 1 without parents) calculate with bic +% 0 0 2 -318.98 1 +% 1 0 2 -189.23 2 --> 3rd familly in the cache (node 2 with 1 as parent) calculate with bayesian +% 0 1 1 -251.09 1 +% 0 0 0 0 0 --> empty entry +% | | | | | +% | | | | |___> 1 for 'bic' or 2 for 'bayesian' +% | | | |__________> score of the familly +% | | |_________________> son node of the familly +% | |__________________________> ==1 iff node 2 is parent of son node +% |______________________________> ==1 iff node 1 is parent of son node +% +% +% +% designed by francois.olivier.c.h@gmail.com +% + +cache=zeros(L+1,N+3); +cache(1,1)=2; \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/hist_ic.m b/sourcecodes/bnt-master/SLP/misc/hist_ic.m new file mode 100644 index 00000000..b16980fd --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/hist_ic.m @@ -0,0 +1,268 @@ +function [n,edges,nbedges,xechan] = hist_ic(x,crit) + +%HIST_IC optimal Histogram based on IC information criterion +% +% [N,EDGES,NBEDGES,XECHAN] = HIST-IC(X,CRIT) +% bins the elements of X into an optimal number of bins according +% to a cost function based on Akaike's Criterion. +% +% +% CRIT = 1 | 2 | 3 (choose one of the 3 possible criterium) (default 3) +% 4 (returns the initial histogram instead of the optimal one) +% +% +% N = cell array containing the distribution of each column of X +% (or a vector if X is a column vector) +% EDGES = cell array containing the bin edges of each column of X +% (or a vector if X is a column vector) +% NBEDGES = vector containing the number of bin edges for each column of X +% (or a number if X is a column vector) +% XECHAN = discretized version of X +% +% Ref : O. Colot et al., Information Criteria and Abrupt Changes in +% Probability Laws, Signal Processing VII: Theory and Applications +% pp.1855-18858, September 1994 +% +% F. El-Matouat, O. Colot 2000 (first version) +% Revised 01-06-2001 by Ph. Leray - philippe.leray@univ-nantes.fr +% +% +% Things to do : +% * Call criteron by a name ('aic','xxx', ...) instead of a number +% + + +if nargin == 0 + error('Requires one or two arguments.') +end + +if nargin == 1 + crit = 3; +end; + +if min(size(x))==1, x = x(:); end + +if isstr(x) + error('Input argument must be numeric.') +end + +if isempty(x), + error('No elements to count') +end + + +[nb_l,nb_c]=size(x); + +% Outputs declaration +xechan=zeros(nb_l,nb_c); + +edges=cell(nb_c,1); +% Local variables +maxi = max(x); +mini = min(x); + +%% Erreur ? ancien code : +%% nb_clas_ini=2*round(sqrt(nb_l)-1); % article Fatima + +nb_clas_ini=round(2*sqrt(nb_l)-1); + +pas_ini=(maxi-mini)/nb_clas_ini; % initial step + +for j=1:nb_c, + + % optimal histogram for each column of X + histo_ini =hist(x(:,j),nb_clas_ini); % initial histogram + + if (crit~=4) + [hist_opt,pas_opt]=hist1_ic(histo_ini,nb_l,pas_ini(j),nb_clas_ini,crit); + else + fprintf('Histo initial\n'); + hist_opt=histo_ini; + pas_opt=ones(1,nb_clas_ini)*pas_ini(j); + end; + nbedges(j)=size(hist_opt,2); + edges{j}=mini(j)+cumsum(pas_opt(1:nbedges(j)-1)); %+1e-7; + [n{j} xechan(:,j)]=histc(x(:,j),[-inf edges{j} inf]); + n{j}=n{j}(1:end-1); +end + +if (nb_c==1) + n=n{1}; edges=edges{1}; +end + + +% ============================== subfunctions + +function [hist_opt,step_opt]=hist1_ic(histo,nb,step_ini,m,critere); + +%HIST1_IC optimal Histogram based on IC information criterion +% +% [HIST_OPT, STEP_OPT] = HIST1_IC(HISTO, NB, STEP_INI, NBSTEP_INI, CRIT) +% fusion of an 1D histogramme (HISTO) according to an IC criterion (CRIT) +% +% This function is mainly an internal function used by HIST_IC +% +% Ref : O. Colot et al., Information Criteria and Abrupt Changes in +% Probability Laws, Signal Processing VII: Theory and Applications +% pp.1855-18858, September 1994 +% +% F. El-Matouat, O. Colot 2000 (first version) +% Revised 11-06-2001 by Ph. Leray +% +% +% Things to do : +% * Call criteron by a name ('aic','xxx', ...) instead of a number +% + + +aic=[]; +aic2=[]; + +% Initialisation +histt=histo; +teta = histt/nb; +pas = step_ini*ones(1,m); + +% Calcul de l'ensemble des histogrammes optimaux + +for z=1:m + + % Calcul de AIC pour l'union entre hist(indice,u) et hist(indice,u+1) + aic2 = [aic2 cal_aic(nb,teta,pas,m+1-z,critere)]; + + if (z~=m) + % Calcul des couples de classes adjacentes + if critere==1 + penalite=(2*(m-z)-1)/nb; + elseif critere==2 + penalite=(m-z-1)*(1+log(nb))/nb; + else + penalite=(m-z)*(1+log(log(nb)))/nb; + end + aic=cla_adj(nb,teta,pas,step_ini,m-z+1,histt,penalite,aic); + % Recherche de la valeur min du crit�re pour les classes adjacentes + [min_aic classe]=min(aic(1:(m-z))); + + + % Fusion de hist(classe) et hist(classe+1) + nb_pas1=pas(classe)/step_ini; + nb_pas2=pas(classe+1)/step_ini; + + ess=round( nb_pas1*histt(classe)+nb_pas2*histt(classe+1) ); + teta(classe)=ess / nb; + histt(classe)=ess / (nb_pas1+nb_pas2); + pas(classe)=pas(classe)+pas(classe+1); + + + % Cr�ation du nouvel histogramme + itemp = setdiff(1:m+1-z,classe+1); + histt = histt(itemp); + pas = pas(itemp); + teta = teta(itemp); + end +end + +% Recherche du crit�re minimun AIC +[min_AIC fusion]=min(aic2(1:m)); + +% Initialisation de histo +histt=histo; +teta = histt/nb; +pas = step_ini*ones(1,m); + +% Calcul de l'histogramme optimal + +for z=1:fusion-1 + + % Calcul des couples de classes adjacentes + if critere==1 + penalite=(2*(m-1)-1)/nb; + elseif critere==2 + penalite=(m-2)*(1+log(nb))/nb; + else + penalite=(m-1)*(1+log(log(nb)))/nb; + end + + aic=cla_adj(nb,teta,pas,step_ini,m,histt,penalite,aic); + + + % Recherche de la valeur min du crit�re pour les classes adjacentes + [min_aic classe]=min(aic(1:m-1)); + + % Fusion de hist(indice,classe) et hist(indice,classe+1) + + nb_pas1=pas(classe)/step_ini; + nb_pas2=pas(classe+1)/step_ini; + + teta(classe)=(round(nb_pas1*histt(classe)+nb_pas2*histt(classe+1)))/nb; + histt(classe)=(nb_pas1*histt(classe)+nb_pas2*histt(classe+1))/(nb_pas1+nb_pas2); + pas(classe)=pas(classe)+pas(classe+1); + + % Cr�ation du nouvel histogramme + + itemp=setdiff(1:m,classe+1); + histt = histt(itemp); + pas = pas(itemp); + teta = teta(itemp); + %aic=zeros(1,m-1); + + m=m-1; +end +hist_opt=histt; +step_opt=pas; + + +%===================================================== +% Calcul du Critere pour l'ensemble des classes + +function akaike=cal_aic(size_ech,teta,pas,m,critere); + + +if critere==1 + a=(2*m-1)/size_ech; +elseif critere==2 + a=(m-1)*(1+log(size_ech))/size_ech; +else + a=m*(1+log(log(size_ech)))/size_ech; +end + +indu = find(teta); +akaike = a - 2*sum(teta(indu).*log(teta(indu)./pas(indu))); + + +%===================================================== +% Cla_adj.m +% aic=cla_adj(taille,indice,teta,pas,pas_ini,m,hist,penalite,aic) +% taille=nombre d'�l�ments dans chacune des hypotheses; +% indice=numero de la classe; +% Calcul du critere de Akaike pour l'histogramme totale avec +% fusion de deux classes adjacentes u et (u+1). + +function aic=cla_adj(size_ech,teta,pas,pas_ini,m,hist,penalite,aic); + + +for u=1:m-1 + + cumul=0; + + % This loop is faster than a sum of a vectorised computation ! + for x=1:m + if x~=u & x~=u+1 & teta(x)~=0 + cumul=cumul+teta(x)*log(teta(x)/pas(x)); + end + end + + + nb_pas1=pas(u)/pas_ini; + nb_pas2=pas(u+1)/pas_ini; + + b=( round(nb_pas1*hist(u)+nb_pas2*hist(u+1) ) ) / size_ech; + + if b~=0 + c=2*b*log( b / ( pas(u) + pas(u+1) ) ); + else + c=0; + end + + aic(u)=penalite-2*cumul-c; +end diff --git a/sourcecodes/bnt-master/SLP/misc/histc_ic.m b/sourcecodes/bnt-master/SLP/misc/histc_ic.m new file mode 100644 index 00000000..3e4a5af5 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/histc_ic.m @@ -0,0 +1,35 @@ +function [n,xechan] = histc_ic(x,edges) +%HISTC_IC Histogram count +% +% [N XECHAN] = HISTC_IC(X,EDGES), for vector X, counts the number of values +% in X that fall between the elements in the EDGES vector +% (EDGES = cell array returned by HIST_IC function) +% +% N is cell array containing these counts. +% (or a vector if X is a column vector) +% +% XECHAN = discretized version of X +% +% Example : +% X=randn(100,5); +% Xapp=X(1:50,:); +% Xtest=X(51:100,:); +% +% % bins are computed with Xapp data +% [n1,bornes,nbbornes,xechan]=hist_ic(Xapp); +% % histogram is computed on Xtest data, with previously obtained bins +% [n2,xtechan]=histc_ic(Xtest,bornes); +% +% 05-06-2001 by Ph. Leray - philippe.leray@univ-nantes.fr +% + +[nb_l,nb_c]=size(x); +% Outputs declaration +xechan=zeros(nb_l,nb_c); +if nb_c==1, edges={edges}; end +% edges=mat2cell(edges); modified by francois.olivier.c.h@gmail.com +for j=1:nb_c, + [n{j} xechan(:,j)]=histc(x(:,j),[-inf edges{j} inf]); + n{j}=n{j}(1:end-1); +end +if nb_c==1, n=n{1}; end diff --git a/sourcecodes/bnt-master/SLP/misc/inference.m b/sourcecodes/bnt-master/SLP/misc/inference.m new file mode 100644 index 00000000..3aef9eeb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/inference.m @@ -0,0 +1,25 @@ +function [proba_post, engin2]= inference(bnet, data, node) +% Make bayesian inference on data +% [proba_post, engine]= inference(bnet, data, node) +% +% INPUTS : +% - bnet, the structure of the bayesian network gived by mk_bnet. +% - data(i,m), node i in case m. +% - node, the node we interrogating. +% +% OUTPUTS : +% - proba_post, the posteriors probabilities. +% - engine, the inference engine. +% +% francois.olivier.c.h@gmail.com + +engine=jtree_inf_engine(bnet); +[N L]=size(data); +proba_post=zeros(L,bnet.node_sizes(node)); +for i=1:L + evidence(1:N)=data(1:N,i); + evidence{node}=[]; + [engin2, ll]=enter_evidence(engine,evidence); + marg=marginal_nodes(engin2,node); + proba_post(i,:)=marg.T'; +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/isdag.m b/sourcecodes/bnt-master/SLP/misc/isdag.m new file mode 100644 index 00000000..8335d58c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/isdag.m @@ -0,0 +1,9 @@ +function b = isdag(G) +% b = isdag(G) +% +b = sum(sum(G.*G')); % How many undirected arcs ? (x2) +b=~b & ~isempty(G); +if b + M = expm(full(G)) - eye(length(G)); M = (M>0); + b = isempty(find(sum(sum(eye(length(G)).*M)))); % is there no cycle ? +end diff --git a/sourcecodes/bnt-master/SLP/misc/ismemberclique.m b/sourcecodes/bnt-master/SLP/misc/ismemberclique.m new file mode 100644 index 00000000..5b1f8771 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/ismemberclique.m @@ -0,0 +1,14 @@ +function resu = ismemberclique(v,cliques) +% b = ismemberclique(v,cliques) +% + +finiclique = 0 ; resu=0 ; +cl=1; ncl=length(cliques) ; + +while (~finiclique) & (cl<=ncl); + if ismember(v,cliques{cl}) + resu=1; + finiclique=1 ; + end + cl=cl+1; +end diff --git a/sourcecodes/bnt-master/SLP/misc/knn.m b/sourcecodes/bnt-master/SLP/misc/knn.m new file mode 100644 index 00000000..43233de1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/knn.m @@ -0,0 +1,57 @@ +function [ypred]=knn(xapp,yapp,valY,X,k) + +% +% knn implementation +% +% USE : [ypred]=knn(xapp,yapp,valY,X,k) +% +% Vincent Guigue 08/01/03 + +% check nargin + +if nargin<4 + error('too few argumemnts'); +elseif nargin<5 + k=3; +else + if mod(k,2)==0 + error('k must be odd'); + end +end + +if size(xapp,2)~=size(X,2) + error('dimension incompatibility'); +end + + +ndim = size(xapp,2); +nptxapp = size(xapp,1); +nptX = size(X,1); + +% distance de X a xapp : +mat1 = repmat(xapp, nptX,1); +%mat21 = reshape(X',1,nptX*ndim) +mat22 = repmat(X,1,nptxapp)'; +mat2 = reshape(mat22 ,ndim, nptxapp*nptX)'; +distance = mat1 - mat2 ; + +distance = sum(distance.^2,2); +distance = reshape(distance,nptxapp,nptX); +[val kppv] = sort(distance,1); + +% bilan sur les k premieres lignes +kppv = reshape(kppv(1:k,:),k*nptX,1); +Ykppv = yapp(kppv,1); +Ykppv = reshape(Ykppv,k,nptX); + +% trouver le plus de reponses identique par colonne + +vote = []; +for i=1:nptX + for j=1:length(valY) + vote(j,i)=size(find(Ykppv(:,i)==valY(j)),1); + end +end + +[val ind]=max(vote,[],1); +ypred = valY(ind); \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/mat_to_bnt.m b/sourcecodes/bnt-master/SLP/misc/mat_to_bnt.m new file mode 100644 index 00000000..008cabc8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/mat_to_bnt.m @@ -0,0 +1,58 @@ +function [res] = mat_to_bnt(mat,misv) +% MAT_TO_BNT Convert a matrix to a cell array +% D = mat_to_bnt(data,misv) +% +% Input : +% data(i,m) is the node i in the case m, +% misv is the way you choose to encode missing data +% in the original matrix (-9999 by default) +% +% Output : +% D = cell array containing data(i,m) is the data is OK +% or [] is the data is missing +% +% +% V1.2 : 18 feb 2003 (Ph. Leray - philippe.leray@univ-nantes.fr) +% +% >> m=rand(2,4) +% +% m = +% +% 0.9525 0.4693 0.3907 0.1496 +% 0.9274 0.3157 0.1346 0.9383 +% +% >> m(2,2)=-9 +% +% m = +% +% 0.9525 0.4693 0.3907 0.1496 +% 0.9274 -9.0000 0.1346 0.9383 +% +% >> mat_to_bnt(m,-9) +% +% ans = +% +% [0.9525] [0.4693] [0.3907] [0.1496] +% [0.9274] [] [0.1346] [0.9383] +% + +if nargin <1 + error('Requires at least 1 argument.') +end + +if nargin == 1 + misv=-9999; + end; + +taille=size(mat); +long=taille(1); +larg=taille(2); +for i=1:long + for j=1:larg + res{i,j}=mat(i,j); + if(mat(i,j)==misv) + res{i,j}=[]; + end + end +end + diff --git a/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_dag_topo.m b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_dag_topo.m new file mode 100644 index 00000000..73ba2439 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_dag_topo.m @@ -0,0 +1,196 @@ +function [new_nbrs, new_ops, new_nodes, new_topos] = mk_nbrs_of_dag_topo(G0) +% MK_NBRS_OF_DAG_TOPO Make all DAGs that differ from G0 by a single edge deletion, addition or reversal +% [new_nbrs, new_ops, new_nodes, new_topos] = mk_nbrs_of_dag_topo(G0) +% +% new_nbrs{i} is the i'th neighbor of G0. +% new_ops{i} = 'add', 'del', or 'rev' is the operation used to create the i'th neighbor. +% new_nodes(i,1:2) are the head and tail of the operated-on arc. +% new_topos are topological orders of the neighbours. +% +% We implement the fast acyclicity check described by P. Giudici and R. Castelo, +% "Improving MCMC model search for data mining", submitted to J. Machine Learning, 2001. +% +% Written by Qian Diao on 19 Nov 01 +% Reference are ..\BNT\graph\mk_nbrs_of_dag.m, ..\BNT\learning\learn_struct_mcmc.m and +% ..\BNT\graph\topological_sort.m +% Copyright Intel 2001 +% +new_nbrs = {}; +new_ops = {}; +new_nodes = []; +new_topos = {}; +cs = {}; + +n = length(G0); +indeg = zeros(1,n); +zero_indeg = []; % a stack of nodes with no parents +for i=1:n + indeg(i) = length(parents(G0,i)); + cs{i} = children(G0, i); + if indeg(i)==0 + zero_indeg = [i zero_indeg]; + end +end + +dag = G0; +[nbrs, ops, nodes] = mk_nbrs_of_digraph(dag); +A = init_ancestor_matrix(dag); +%assert(acyclic(new_dag)); + +d1 = 1; +for d = 1:length(ops) + i = nodes(d, 1); j = nodes(d, 2); + legal = 0; + switch ops{d} + case 'add', + if A(i,j)==0 + legal = 1; + end + case 'del', + legal = 1; + case 'rev', + ps = mysetdiff(parents(dag, j), i); + % if any(A(ps,i)) then there is a path i -> parent of j -> j + % so reversing i->j would create a cycle + legal = ~any(A(ps, i)); + end + + if legal + tmp = nbrs(:,:,d); + new_nbrs{d1} = tmp; + new_ops{d1} = ops{d}; + new_nodes(d1,1:2) = nodes(d,1:2); + + % obtain the topological orders of neighbour dags + zero_indeg_nbr = []; + indeg_nbr = []; + cs_nbr = []; + + switch ops{d} + case 'add' % i is a new parent of j + zero_indeg_nbr = zero_indeg; + indeg_nbr = indeg; + if ~isempty(find(zero_indeg == j)) % j is not a root anymore + zero_indeg_nbr = mysetdiff(zero_indeg, j); + end + indeg_nbr(j) = indeg(j)+1; + + t_nbr=1; + order_nbr = zeros(1,n); + while ~isempty(zero_indeg_nbr) + v_nbr = zero_indeg_nbr(1); % pop v + zero_indeg_nbr = zero_indeg_nbr(2:end); + order_nbr(t_nbr) = v_nbr; + t_nbr = t_nbr + 1; + if v_nbr == i % j is a new child of i + cs_nbr = sort([j cs{i}]); + else + cs_nbr = cs{v_nbr}; + end + for k = 1:length(cs_nbr) + c_nbr = cs_nbr(k); + indeg_nbr(c_nbr) = indeg_nbr(c_nbr) - 1; + if indeg_nbr(c_nbr) == 0 + zero_indeg_nbr = [c_nbr zero_indeg_nbr]; % push c + end + end + end + + case 'del' % i is not a parent of j anymore + zero_indeg_nbr = zero_indeg; + indeg_nbr = indeg; + if length(parents(tmp, j))==0 + zero_indeg_nbr = -sort(-[zero_indeg, j]); % descending order + end + indeg_nbr(j) = indeg(j) - 1; + + t_nbr=1; + order_nbr = zeros(1,n); + while ~isempty(zero_indeg_nbr) + v_nbr = zero_indeg_nbr(1); % pop v + zero_indeg_nbr = zero_indeg_nbr(2:end); + order_nbr(t_nbr) = v_nbr; + t_nbr = t_nbr + 1; + if v_nbr == i % j is not a child of i anymore + cs_nbr = mysetdiff(cs{i}, j); + else + cs_nbr = cs{v_nbr}; + end + for k = 1:length(cs_nbr) + c_nbr = cs_nbr(k); + indeg_nbr(c_nbr) = indeg_nbr(c_nbr) - 1; + if indeg_nbr(c_nbr) == 0 + zero_indeg_nbr = [c_nbr zero_indeg_nbr]; % push c + end + end + end + + case 'rev' %i is a new child of j and j is a new parent of i + zero_indeg_nbr = zero_indeg; + indeg_nbr = indeg; + if ~isempty(find(zero_indeg == i)) + zero_indeg_nbr = mysetdiff(zero_indeg_nbr, i); + end + if length(parents(tmp, j))==0 + zero_indeg_nbr = -sort(-[zero_indeg_nbr, j]); % decending order + end + indeg_nbr(i) = indeg(i)+1; + indeg_nbr(j) = indeg(j)-1; + + t_nbr=1; + order_nbr = zeros(1,n); + while ~isempty(zero_indeg_nbr) + v_nbr = zero_indeg_nbr(1); % pop v + zero_indeg_nbr = zero_indeg_nbr(2:end); + order_nbr(t_nbr) = v_nbr; + t_nbr = t_nbr + 1; + cs_nbr = cs{v_nbr}; + if v_nbr == i % j is not a child of i anymore + cs_nbr = mysetdiff(cs{i}, j); + end + if v_nbr == j % i is a new child of j + cs_nbr = sort([i cs{j}]); + end + for k = 1:length(cs_nbr) + c_nbr = cs_nbr(k); + indeg_nbr(c_nbr) = indeg_nbr(c_nbr) - 1; + if indeg_nbr(c_nbr) == 0 + zero_indeg_nbr = [c_nbr zero_indeg_nbr]; % push c + end + end + end + end + + new_topos{d1} = order_nbr; + d1 = d1+1; + end +end + +clear nbrs ops nodes; + + + +%%%%%%%%% +function A = update_row(A, j, dag) +% We compute row j of A +A(j, :) = 0; +ps = parents(dag, j); +if ~isempty(ps) + A(j, ps) = 1; +end +for k=ps(:)' + anck = find(A(k,:)); + if ~isempty(anck) + A(j, anck) = 1; + end +end + +%%%%%%%% +function A = init_ancestor_matrix(dag) +order = topological_sort(dag); +A = zeros(length(dag)); +for j=order(:)' + A = update_row(A, j, dag); +end + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_add.m b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_add.m new file mode 100644 index 00000000..f495702b --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_add.m @@ -0,0 +1,169 @@ +function [PDAGs, nodes] = mk_nbrs_of_pdag_add(cpdag,engine) +% MK_NBRS_OF_PDAG_ADD Make the superior inclusion boundary of CPDAG. +% [PDAGs, nodes] = mk_nbrs_of_pdag_add(CPDAG) +% +% PDAGs{i} is the i'th neighbor of CPDAG0 generated by INSERT(X,Y,T) with +% nodes{i,1:2}=[X Y] +% nodes{i,3}=T +% +% See D.M. Chickering 2002 : "Optimal Structure Identification with Greedy Search". +% +% philippe.leray@univ-nantes.fr, francois.olivier.c.h@gmail.com +% 24 july 2003 + + +compteur=0 ; +N=length(cpdag); +G=pdag_to_dag(cpdag); +if nargin==1, + bnet_tmp=mk_bnet(pdag_to_dag(cpdag),2*ones(N,1)); + bnet_tmp=mk_bnet(G,2*ones(N,1)); + engine_tmp=struct(jtree_inf_engine(bnet_tmp)); + clear bnet_tmp +else + engine_tmp=struct(engine); +end +cliques=engine_tmp.cliques; +nbcliques=length(cliques); +clear engine_tmp; + +% find in the PDAG all the X Y not connected +[LX LY]=find((cpdag|cpdag')+eye(N)==0); +nlinks=length(LX); % here is a bug when nlinks is zeros, for i=1:nlinks fail 31-37 added by hanbin +if nlinks==0 + [i,j]=find(cpdag);k=unidrnd(size(i,1),1); + cpdag(i(k),j(k))=0; + [LX LY]=find((cpdag|cpdag')+eye(N)==0); + nlinks=length(LX); +end + +for i=1:nlinks + X=LX(i); + Y=LY(i); + % Neighbors of Y + NY = myintersect(find(cpdag(:,Y)), find(cpdag(Y,:))); + % Adjacents of X + AX = myunion(find(cpdag(:,X)), find(cpdag(X,:))); + % Neighbors of Y adjacent to X + NAYX = myintersect(NY,AX); + % Neighbors of Y NOT adjacent to X + NNAYX = mysetdiff(NY, NAYX); + + % this function recursively "walks" (dfs) in the graph representation of NNA powerset + liste=NNAYX; + if ~isempty(liste) + premier=liste(1); + dernier=liste(end); + end; + + current_set=[]; + fini=0; + evite2 = 0 ; + + while ~fini + isclique=0; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Test 1 + % is [NAYX current_set] a clique ? + if isempty(current_set) + NAYXT=NAYX; + elseif isempty(NAYX) + NAYXT=current_set; + else + NAYXT = union(NAYX,current_set); + end + % if isempty(NAYXT),isclique=1;end + + isclique = isempty(NAYXT) | ismemberclique(NAYXT,cliques) ; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End Test 1 + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Test 2 + % is there exist a partially directed path Y...X in PDAG \ NAYXT ? + if isclique + if evite2 + test2=1 ; + else + %%%% calcul test 2 + L2 = setdiff(1:N,NAYXT); + test2=~partialconnected(cpdag(L2,L2),find(L2==Y),find(L2==X)); + + end + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End Test 2 + + if test2 + evitet2=1; + + % avoid testing INSERT(X,Y,[]) and INSERT(Y,X,[]) if pa(Y)=pa(X) + test0=1 ; + if (X>Y) + if length(current_set)==0 + PaX=setdiff(find(cpdag(X,:)),find(cpdag(:,X))); + PaY=setdiff(find(cpdag(Y,:)),find(cpdag(:,Y))); + test0=(length(setdiff(PaX,PaY))~=0); + end + end + if test0 + %fprintf(' INSERT(%d,%d,',X,Y); fprintf('%d',current_set); + %fprintf(')\n'); + compteur=compteur+1; + nodes{compteur,1}=X; + nodes{compteur,2}=Y; + nodes{compteur,3}=current_set; + ptmp=cpdag; + ptmp(X,Y)=1; + ptmp(current_set,Y)=1; + ptmp(Y,current_set)=0; + PDAGs{compteur}=ptmp; + end + end + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Next Set to test ... + % what is the net set in the powerset ? + if length(liste)==0 + fini=1 ; next_set=[]; + elseif length(current_set)==0 + next_set=[premier]; % first node after the root [] + else + actuel=current_set(end); + if actuel==dernier + if length(current_set)==1 + fini=1; % no more node ... + else + ancien=current_set(end-1); % new "branch" + next_set=[current_set(1:end-2) liste(find(liste==ancien)+1)]; + end + else % new node in the "branch" + if ~isclique + if length(current_set)==1 + fini=1; % no more node ... + else + ancien=current_set(end-1); % new "branch" + next_set=[current_set(1:end-2) liste(find(liste==ancien)+1)]; + evite2=0; + end + else + next_set=[current_set liste(find(liste==actuel)+1)]; + end + end + end + current_set=next_set; + end +end + + +%%%%%%%%% +function resu = ismemberclique(v,cliques) +finiclique = 0 ; resu=0 ; +cl=1; ncl=length(cliques) ; +while (~finiclique) & (cl<=ncl); + if ismember(v,cliques{cl}) + resu=1; + finiclique=1 ; + end + cl=cl+1; +end + +%%%%%%%%% +function resu = partialconnected(G,Y,X) +tmp=expm(G); +resu = (tmp(Y,X)~=0); diff --git a/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_del.m b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_del.m new file mode 100644 index 00000000..7f0fc35a --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/mk_nbrs_of_pdag_del.m @@ -0,0 +1,175 @@ +function [PDAGs, nodes] = mk_nbrs_of_pdag_del(cpdag,engine) +% MK_NBRS_OF_PDAG_ADD Make the inferior inclusion boundary of CPDAG. +% [PDAGs, nodes] = mk_nbrs_of_pdag_del(CPDAG) +% +% PDAGs{i} is the i'th neighbor of CPDAG0 generated by DELETE(X,Y,H) with +% nodes{i,1:2}=[X Y] +% nodes{i,3}=H +% +% See D.M. Chickering 2002 : "Optimal Structure Identification with Greedy Search". +% +% philippe.leray@univ-nantes.fr +% 25 july 2003 + +compteur=0; +N=length(cpdag); +if nargin==1, + bnet_tmp=mk_bnet(pdag_to_dag(cpdag),2*ones(N,1)); + engine_tmp=struct(jtree_inf_engine(bnet_tmp)); + clear bnet_tmp +else + engine_tmp=struct(engine); +end +cliques=engine_tmp.cliques; +nbcliques=length(cliques); +clear engine_tmp; + +verbose=0; + +if verbose + fprintf('---- Les cliques (maximales) du DAG\n'); + for i=1:nbcliques, + disp(cliques{i}); + end + fprintf('---- Variables \n'); +end + + +% find in the PDAG all the X Y connected +[LX LY]=find(cpdag==1); +nlinks=length(LX); + +for i=1:nlinks + X=LX(i); + Y=LY(i); + % Neighbors of Y + NY = myintersect(find(cpdag(:,Y)), find(cpdag(Y,:))); + % Adjacents of X + AX = myunion(find(cpdag(:,X)), find(cpdag(X,:))); + % Neighbors of Y adjacent to X + NAYX = myintersect(NY,AX); + + % this function recursively "walks" (dfs) in the graph representation of NA powerset + if verbose + X, Y, NY, AX, NAYX + fprintf('---- NA Powerset\n\n'); + end + + liste=NAYX; + if ~isempty(liste) + premier=liste(1); + dernier=liste(end); + end + + current_set=[]; + fini=0; + evite2 = 0 ; + + while ~fini + if verbose + % sert uniquement � l'affichage pour le prog de test ... + if isempty(current_set) + fprintf('\t H = []\n\n'); + else + fprintf('\t H = '); disp(current_set); + end + end + + isclique=0; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Test 1 + % is [NAYX \ current_set] a clique ? + if isempty(current_set) + NAYXH=NAYX; + elseif isempty(NAYX) + NAYXH=current_set; + else + NAYXH = mysetdiff(NAYX,current_set); + end + + if isempty(NAYXH) + if verbose + fprintf('\t\t NA(Y,X) \\ T = \t[]\n\n'); + end + + elseif verbose + fprintf('\t\t NA(Y,X) \\ T ='); disp(NAYXH); + end + + isclique = isempty(NAYXH) | ismemberclique(NAYXH,cliques) ; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End Test 1 + if isclique + % avoid testing INSERT(X,Y,H) and INSERT(Y,X,H) if X--Y + test0=1 ; + if (X>Y) + test0=~cpdag(Y,X); + if verbose&~test0 + fprintf(' (inutile de tester %d %d ',X,Y); fprintf('%d',current_set); + fprintf(')\n'); + end + end + if test0 + if verbose + fprintf(' ==DELETE(%d,%d,',X,Y); fprintf('%d',current_set); + fprintf(')\n'); + end + compteur=compteur+1; + nodes{compteur,1}=X; + nodes{compteur,2}=Y; + nodes{compteur,3}=current_set; + ptmp=cpdag; + ptmp(X,Y)=0; + ptmp(Y,X)=0; + ptmp(current_set,Y)=0; + ptmp(Y,current_set)=1; + ptmp(current_set(find(cpdag(X,current_set)==1)),X)=0; + PDAGs{compteur}=ptmp; + end + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Next Set to test ... + % what is the net set in the powerset ? + if length(liste)==0 + fini=1 ; next_set=[]; + elseif length(current_set)==0 + next_set=[premier]; % first node after the root [] + else + actuel=current_set(end); + if actuel==dernier + if length(current_set)==1 + fini=1; % no more node ... + else + ancien=current_set(end-1); % new "branch" + next_set=[current_set(1:end-2) liste(find(liste==ancien)+1)]; + end + else % new node in the "branch" + if ~isclique + if length(current_set)==1 + fini=1; % no more node ... + else + ancien=current_set(end-1); % new "branch" + next_set=[current_set(1:end-2) liste(find(liste==ancien)+1)]; + evite2=0; + end + else + next_set=[current_set liste(find(liste==actuel)+1)]; + end + end + end + current_set=next_set; + end +end + + +%%%%%%% +function resu = ismemberclique(v,cliques) + +finiclique = 0 ; resu=0 ; +cl=1; ncl=length(cliques) ; + +while (~finiclique) & (cl<=ncl); + if ismember(v,cliques{cl}) + resu=1; + finiclique=1 ; + end + cl=cl+1; +end diff --git a/sourcecodes/bnt-master/SLP/misc/multiply_one_marginal.c b/sourcecodes/bnt-master/SLP/misc/multiply_one_marginal.c new file mode 100644 index 00000000..3d347f65 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/multiply_one_marginal.c @@ -0,0 +1,137 @@ +/* multiply_one_marginals.c */ +/* the first operand can be a joint marginals of nodes set,*/ +/* but the second operand nust be a single node's marginal.*/ +/* and the result joint marginal has domain like [prhs[0].domain, prhs[2].domain]*/ +/* i.e. cat the second domain at the end of the first domain*/ +/* the third operands will be the eff_node_sizes */ + +#include "mex.h" + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + mxArray *ptemp, *ptemp1; + double *xdom, *ydom, *xp, *yp, *zp, *pr, *pSizes; + int N, xElements, numElements; + int i, j, nxdom, ndim, ydim; + int *xdim, *s, *sx, *sy, *cpsx, *cpsy; + int *subs, *s1, *cpsx2, *cpsy2; + int rdims[2]; + const char *field_names[] = {"domain", "T", "mu", "Sigma"}; + + if (nrhs != 3) + mexErrMsgTxt("Incorrect number of inputs."); + + if (nlhs > 1) + mexErrMsgTxt("Too many output arguments."); + + if(mxIsEmpty(prhs[0])){ + plhs[0] = mxDuplicateArray(prhs[1]); + return; + } + + N = mxGetNumberOfElements(prhs[2]); + pSizes = mxGetPr(prhs[2]); + + ptemp = mxGetField(prhs[0], 0, "domain"); + nxdom = mxGetNumberOfElements(ptemp); + xdom = mxGetPr(ptemp); + ptemp = mxGetField(prhs[1], 0, "domain"); + ydom = mxGetPr(ptemp); + ndim = nxdom + 1; + + rdims[0] = 1; + rdims[1] = 1; + plhs[0] = mxCreateStructArray(2, rdims, 4, field_names); + ptemp = mxCreateDoubleMatrix(1, ndim, mxREAL); + mxSetField(plhs[0], 0, "domain", ptemp); + pr = mxGetPr(ptemp); + for(i=0; ib represented as pdag(a,b)=-1 pdag(b,a)=0 +% Edge with unknown direction a-b represented as pdag(a,b)=1 pdag(b,a)=1 +% +% Output: Number of DAGs generated and +% Cell array of all permissible extensions of PDAG +% +% Sample Use: +% % Use output of PC algorithm +% dag = mk_rnd_dag(4); % create random DAG +% % Generate pdag through PC algorithm +% pdag = learn_struct_pdag_pc('dsep', length(dag), 3, dag) +% [n_dags,dag_list] = pdag_to_all_dags(pdag); +% n_dags +% +% If you want to generate all DAGs that are Markov equivalent to an +% input DAG (not a pattern), then use function Markov_equivalent_dags(dag) +% instead which calls this function. +% +% ======================================================================= +% Algorithm to generate ALL DAGs (pdag_to_all_dags): +% +% 0) Initialize an empty list of DAGs. +% +% 1) Complete current PDAG as far as possible using Rules R1-R4. +% +% 2) Select an unoriented edge X-Y. +% +% a) If none left: +% Done. Add DAG=abs(PDAG) to list of output DAGs. Return. +% +% b) Otherwise: +% Select an unoriented edge X-Y. +% Create PDAG1 with X->Y. +% Create PDAG2 with Y->X. +% Recursion: For EACH PDAG (PDAG1/2): Go to Step 1. +% +% +% This algorithm is a slight modification of the algorithm by Meek (1995) +% which generates a single DAG extension of a PDAG - here we just add +% recursion to consider both possible orientations for each considered edge. +% +% For the original algorithm by Meek, see +% C. Meek, "Causal inference and causal explanation with background +% knowledge", UAI 1995, Section 3.1.1, "Phase III" algorithm. +% +% Thanks to Daniel Eaton for extensive testing and bug reports. +% +% Imme Ebert-Uphoff (ebert@tree.com), 2007 +% ======================================================================= + + % MAIN + dag_list={}; % init empty list of DAGs + + % Complete pdag as far as possible using Rules R1-R4 of Meek (1995) + cpdag = complete_pattern(pdag); + + % Start recursion + dag_list = recurse_unoriented_edge(cpdag,dag_list); + + % return # of DAGs along with dag_list + n_dags = length(dag_list); + if (n_dags == 0) % no DAGs generated + fprintf('\nPDAG does not have any permissible extension!\n'); + end +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% RECURSE_UNORIENTED_EDGE % +% implements Step 2 of the pdag_to_all_dags algorithm. % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function updated_list = recurse_unoriented_edge(cpdag, dag_list) + + % input must be a COMPLETE pdag + + [A,B] = find(cpdag==1); % find all undirected edges + + updated_list = dag_list; + + if isempty(A) % if no undirected edges left + % End of recursion reached. + % Convert all (-1) values to (1) to yield standard DAG, add DAG to list. + updated_list{end+1} = abs(cpdag); + + else + a = A(1); b = B(1); % choose first unoriented edge + % (any unoriented edge could be used here) + + % choose two different directions for edge and complete BOTH ! + % PDAG1: contains a -> b + %fprintf('PDAG1: %d -> %d\n',a,b); + pdag1 = cpdag; + pdag1(a,b) = -1; pdag1(b,a) = 0; + % complete as far as possible using rules R1-R4: + cpdag1 = complete_pattern(pdag1); + % Continue recursion on another unoriented edge + updated_list = recurse_unoriented_edge(cpdag1,updated_list); + + % PDAG1: contains b -> a + %fprintf('PDAG2: %d -> %d\n',b,a); + pdag2 = cpdag; + pdag2(a,b) = 0; pdag2(b,a) = -1; + % complete as far as possible using rules R1-R4: + cpdag2 = complete_pattern(pdag2); + % Continue recursion on another unoriented edge + updated_list = recurse_unoriented_edge(cpdag2, updated_list); + + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + diff --git a/sourcecodes/bnt-master/SLP/misc/pdag_to_dag.m b/sourcecodes/bnt-master/SLP/misc/pdag_to_dag.m new file mode 100644 index 00000000..00a73aac --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/pdag_to_dag.m @@ -0,0 +1,87 @@ +function G2 = pdag_to_dag(pdags) +% (also works with a cell array of pdags, returning a cell array of dags) +% dag = pdag_to_dag(pdag) +% +% cf Dor and Tarsi (1992) : +% A simple algorithm to construct a consistent extention of a partially oriented graph. +% +% francois.olivier.c.h@gmail.com + + +if ~iscell(pdags) + pdag=cell(1,1); + pdag{1}=pdags; +else + pdag=pdags; +end + +for da=1:length(pdag) + %fprintf('%d ',da) + G=pdag{da}; + G2 = G; A = G; + N = size(G,1); + empty_loop = 0; + + while ~isempty(find(A)) + [x x_y_undirected] = select_vertex(A); + + if x==0 + fprintf('pdag_to_dag error : This pdag does not admit any extension.\n'); + G2=[]; + break + end + G2(x,x_y_undirected) = 0; G2(x_y_undirected,x) = 1; + + A(x,:) = 0; + A(:,x) = 0; + end + dags{da}=G2; +end +if ~iscell(pdags) + G2=dags{1}; +else + G2=dags; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [sol, x_y] = select_vertex(G) +N = size(G,1); +sol = 0; +x = 0; +fini=0 ; +while ~fini + + x = x+1; + if x>N + fini=1; + else + beforex=find(G(:,x)); + afterx=find(G(x,:)); + + if ~(isempty(beforex)&isempty(afterx)) + x_y = myintersect(beforex,afterx); + beforex=mysetdiff(beforex,x_y); + afterx=mysetdiff(afterx,x_y); + + if isempty(afterx) % x is a sink + Ax= myunion(x_y,beforex); + for y=x_y + % Adjacents of y + Ay = myunion(find(G(:,y)), find(G(y,:))); + Ay = myunion(Ay,y); + if isempty(setdiff(Ax,Ay)) + fini=fini+1; + else + break; + end + end + if fini==length(x_y) + sol=x; fini=1; + else + fini=0; + end + end + end + end +end % while diff --git a/sourcecodes/bnt-master/SLP/misc/pdag_unsigned_to_signed.m b/sourcecodes/bnt-master/SLP/misc/pdag_unsigned_to_signed.m new file mode 100644 index 00000000..37b414f1 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/pdag_unsigned_to_signed.m @@ -0,0 +1,22 @@ +function signed_pdag = pdag_unsigned_to_signed(pdag) + +% Input: pdag with '1' in one place for every directed edge and +% '1' in two places for every undirected edge +% +% Output: pdag with '-1' in one place for every directed edge +% '1' in two places for every undirected edge +% +% This function is used by Markov_equivalent_dags(dag) to convert +% output of SLP function dag_to_cpdag(dag) +% to format required as input for pdag_to_all_dags(pdag). +% +% I'm sure there's a prettier way to code this! +% +% Imme Ebert-Uphoff (ebert@tree.com), 2007 +% + + undirected = ( (pdag+pdag')/2 == 1); % extract undirected eges + directed = pdag - undirected; % extract directed edges + signed_pdag = undirected - directed; % 1s for undirected, (-1)s for directed + + diff --git a/sourcecodes/bnt-master/SLP/misc/subsets1.m b/sourcecodes/bnt-master/SLP/misc/subsets1.m new file mode 100644 index 00000000..ca2bf46c --- /dev/null +++ b/sourcecodes/bnt-master/SLP/misc/subsets1.m @@ -0,0 +1,45 @@ +function sub_s=subsets1(s,k) +% SUBSETS1 creates sub-sets of a specific from a given set +% SS = subsets1(S, k) +% +% S is the given set +% k is the required sub-sets size +% +% Example: +% +% >> ss=subsets1([1:4],3); +% >> ss{:} +% ans = +% 1 2 3 +% ans = +% 1 2 4 +% ans = +% 1 3 4 +% ans = +% 2 3 4 +% +% Written by Raanan Yehezkel, 2004 + +if k<0 % special case + error('subset size must be positive'); +elseif k==0 % special case + sub_s={[]}; +else + l=length(s); + ss={}; + if l>=k + if k==1 % Exit condition + for I=1:l + ss{I}=s(I); + end + else + for I=1:l + ss1=subsets1(s([(I+1):l]),k-1); + for J=1:length(ss1) + ss{end+1}=[s(I),ss1{J}]; + end + end + end + end + sub_s=ss; +end diff --git a/sourcecodes/bnt-master/SLP/scoring/calculate_mutual_information_array.m b/sourcecodes/bnt-master/SLP/scoring/calculate_mutual_information_array.m new file mode 100644 index 00000000..1128e411 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/calculate_mutual_information_array.m @@ -0,0 +1,32 @@ +function [mi] = calculate_mutual_information_array(data) +% FUNCTION [MI_ARRAY] = CALCULATE_MUTUAL_INFORMATION_ARRAY(DATA) +% calculates the mutual information between all pairs of variables +% Data must be discrete, and take values 1,2,...,size +% data(i,m) is the node i in the case m. + +[num_nodes num_examples] = size(data); + +node_sizes = max(data'); +for i = 1:num_nodes + for ic = 1:node_sizes(i) % I CLASS ic + px(i,ic) = sum(data(i,:)==ic); + for j = 1:num_nodes % J CLASS jc + for jc = 1:node_sizes(j) + pxy(i,ic,j,jc) = sum( (data(i,:)==ic) & (data(j,:)==jc) ); + end + mi(i,j) = 0; + end + end +end + +for i = 1:num_nodes + for ic = 1:node_sizes(i) + for j = 1:num_nodes + for jc = 1:node_sizes(j) + if( pxy(i,ic,j,jc)~=0 & px(i,ic)~=0 & px(j,jc)~= 0) + mi(i,j) = mi(i,j) + pxy(i,ic,j,jc)*log2( num_examples*pxy(i,ic,j,jc)/(px(i,ic)*px(j,jc)) )/num_examples; + end + end + end + end +end diff --git a/sourcecodes/bnt-master/SLP/scoring/cond_indep_chisquare.m b/sourcecodes/bnt-master/SLP/scoring/cond_indep_chisquare.m new file mode 100644 index 00000000..efc162cc --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/cond_indep_chisquare.m @@ -0,0 +1,184 @@ +function [CI, Chi2, alpha2] = cond_indep_chisquare(X, Y, S, Data, test, alpha, ns) +% COND_INDEP_CHISQUARE Test if X indep Y given Z +% using either chisquare test or likelihood ratio test G2 +% +% [CI Chi2 Prob_Chi2] = cond_indep_chisquare(X, Y, S, Data, test, alpha, node_sizes) +% +% Input : +% Data is the data matrix, N columns * NbVar rows +% X is the index of variable X in Data matrix +% Y is the index of variable Y in Data matrix +% S are the indexes of variables in set S +% alpha is the significance level (default: 0.05) +% test = 'pearson' for Pearson's chi2 test +% 'LRT' for G2 likelihood ratio test (default) +% node_sizes (default: max(Data')) +% +% Output : +% CI = test result (1=conditional independency, 0=no) +% Chi2 = chi2 value (-1 if not enough data to perform the test --> CI=0) +% +% +% V1.4 : 24 july 2003 (Ph. Leray - philippe.leray@univ-nantes.fr) +% +% +% Things to do : +% - do not use 'find' in nij computation (when S=empty set) +% - find a better way than 'warning off/on' in tmpij, tmpijk computation +% + +if nargin < 5, test = 'LRT'; end +if nargin < 6, alpha = 0.05; end +if nargin < 7, ns = max(Data'); end + +Data=Data'; + +N = size(Data,1); +qi=ns(S); +tmp=[1 cumprod(qi(1:end-1))]; +qs=1+(qi-1)*tmp'; +if isempty(qs), + nij=zeros(ns(X),ns(Y)); + df=prod(ns([X Y])-1)*prod(ns(S)); +else + +% Commented by Mingyi +% nijk=zeros(ns(X),ns(Y),qs); +% tijk=zeros(ns(X),ns(Y),qs); +% Commention ends +% Added by Mingyi + nijk=zeros(ns(X),ns(Y),1); + tijk=zeros(ns(X),ns(Y),1); +% Addition ends + df=prod(ns([X Y])-1)*qs; +end + + +if (N<10*df) + % Not enough data to perform the test + Chi2=-1; + CI=0; + +elseif isempty(S) + for i=1:ns(X), + for j=1:ns(Y), + nij(i,j)=length(find((Data(:,X)==i)&(Data(:,Y)==j))) ; + end + end + restr=find(sum(nij,1)==0); + if ~isempty(restr) + nij=nij(:,find(sum(nij,1))); + end + + tij=sum(nij,2)*sum(nij,1)/N ; + + switch test + case 'pearson', + tmpij=nij-tij; + + [xi yj]=find(tij<10); + for i=1:length(xi), + tmpij(xi(i),yj(i))=abs(tmpij(xi(i),yj(i)))-0.5; + end + + warning off; + tmp=(tmpij.^2)./tij; + warning on; + tmp(find(tmp==Inf))=0; + + case 'LRT', + warning off; + tmp=nij./tij; + warning on; + tmp(find(tmp==Inf | tmp==0))=1; + tmp(find(tmp~=tmp))=1; + tmp=2*nij.*log(tmp); + + otherwise, + error(['unrecognized test ' test]); + end + + Chi2=sum(sum(tmp)); + alpha2=1-chisquared_prob(Chi2,df); + CI=(alpha2>=alpha) ; + +else + SizeofSSi=1; + for exemple=1:N, + i=Data(exemple,X); + j=Data(exemple,Y); + Si=Data(exemple,S)-1; + %Added by Mingyi + if exemple==1 + SSi(SizeofSSi,:)=Si; + nijk(i,j,SizeofSSi)=1; + else + flag=0; + for iii=1:SizeofSSi + if isequal(SSi(iii,:),Si) + nijk(i,j,iii)=nijk(i,j,iii)+1; + flag=1; + end + end + if flag==0 + SizeofSSi=SizeofSSi+1; + SSi(SizeofSSi,:)=Si; + nijk(i,j,SizeofSSi)=1; + end + end + %Addition ends + %Commented by Mingyi +% k=1+Si*tmp'; +% nijk(i,j,k)=nijk(i,j,k)+1; + %Commention ends + end + + nik=sum(nijk,2); + njk=sum(nijk,1); + N2=sum(njk); + + % for k=1:qs, %Commented by Mingyi + for k=1:SizeofSSi %Added by Mingyi + if N2(:,:,k)==0 + tijk(:,:,k)=0; + else + tijk(:,:,k)=nik(:,:,k)*njk(:,:,k)/N2(:,:,k); + end + end + + switch test + case 'pearson', + tmpijk=nijk-tijk; + + [xi yj]=find(tijk<10); + for i=1:length(xi), + tmpijk(xi(i),yj(i))=abs(tmpijk(xi(i),yj(i)))-0.5; + end + + warning off; + tmp=(tmpijk.^2)./tijk; + warning on; + tmp(find(tmp==Inf))=0; + + case 'LRT', + warning off; + tmp=nijk./tijk; + warning on; + tmp(find(tmp==Inf | tmp==0))=1; + tmp(find(tmp~=tmp))=1; + tmp=2*nijk.*log(tmp); + + otherwise, + error(['unrecognized test ' test]); + end + + Chi2=sum(sum(sum(tmp))); + alpha2=1-chisquared_prob(Chi2,df); + CI=(alpha2>=alpha) ; + +end +clear tijk +clear nijk +clear nij +clear tij +clear tmpijk \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/scoring/cond_mutual_info_score.m b/sourcecodes/bnt-master/SLP/scoring/cond_mutual_info_score.m new file mode 100644 index 00000000..b43cbfeb --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/cond_mutual_info_score.m @@ -0,0 +1,28 @@ +function score = cond_mutual_info_score(i,si,j,sj,c,sc,data) +% G = cond_mutual_info_score(i,si,j,sj,c,sc,data) +% Only for tabular node which values are 1,2,...,size . +% si is size of node i, sj is size of node j, sc is the size of node c. +% data(i,m) is the node i in the case m. +% +% +% pphilippe.leray@univ-nantes.fr, francois.olivier.c.h@gmail.com + +[n N]=size(data); +Pc=hist(data(c,:),1:sc)/N; +score=0; + +for cvalue=1:sc, + ind=find(data(c,:)==cvalue); + Nj=hist(data(j,ind),1:sj); + Ni=hist(data(i,ind),1:si); + NiNj=Ni'*Nj; + + for k=1:si + ind2=find(data(i,ind)==k) ; + Nij(k,:) = hist(data(j,ind(ind2)),1:sj); + end + + % sommons les valeurs non-infinies: + ind=find(NiNj~=0 & Nij~=0); + score=score+Pc(cvalue)*sum(sum(Nij(ind).*log(N*Nij(ind)./NiNj(ind))/N)); +end diff --git a/sourcecodes/bnt-master/SLP/scoring/kl_divergence.m b/sourcecodes/bnt-master/SLP/scoring/kl_divergence.m new file mode 100644 index 00000000..f4e18147 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/kl_divergence.m @@ -0,0 +1,48 @@ +function KLdiv = KL_divergence(bnetP, bnetQ) +% KL_DIVERGENCE computes the Kullback-Leibler divergence between two BNET distributions +% KLdiv = KL_divergence(bnetP, bnetQ) +% +% Output : +% div = sum_x P(x).log(P(x)/Q(x)) +% +% Rem : +% This version is optimized for speed, but can use too many memory +% ==> if you have a memory problem, use kl_divergence2 instead +% + +% ONLY FOR TABULAR NODES +% Make sure that you have done the params learning. +% +% V1.1 : 8 oct 2004 (Ph. Leray - philippe.leray@univ-nantes.fr) + +N = size(bnetP.dag,1); +N2 = size(bnetQ.dag,1); +ns= bnetP.node_sizes; +ns2= bnetQ.node_sizes; +if N~=N2, error('size of dags must be the same'), end +if ns~=ns2, error('node sizes of dags must be the same'), end +tiny = exp(-700); +KLdiv=0; + +inst = ind2subv(ns, 1:prod(ns)); + %Px=1; Qx=1; + for i=1:N, + ps = parents(bnetP.dag, i); + %e = bnetP.equiv_class(i); + %[tmp Px(:,i)] = prob_node(bnetP.CPD{e}, inst(:,i)', inst(:,ps)'); + [tmp Px(:,i)] = prob_node(bnetP.CPD{i}, inst(:,i)', inst(:,ps)'); + + ps = parents(bnetQ.dag, i); + %e = bnetQ.equiv_class(i); + %[tmp Qx(:,i)] = prob_node(bnetQ.CPD{e}, inst(:,i)', inst(:,ps)'); + [tmp Qx(:,i)] = prob_node(bnetQ.CPD{i}, inst(:,i)', inst(:,ps)'); + end + Px=prod(Px,2); + Px = Px + (Px==0)*tiny; % replace 0s by tiny + Qx=prod(Qx,2); + Qx = Qx + (Qx==0)*tiny; % replace 0s by tiny + + %%%%% Faut-il diviser par le nb de configurations possibles ? (sum => mean) + KLdiv = sum(Px.*log(Px./Qx)); + %end + diff --git a/sourcecodes/bnt-master/SLP/scoring/kl_divergence2.m b/sourcecodes/bnt-master/SLP/scoring/kl_divergence2.m new file mode 100644 index 00000000..7b9664ba --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/kl_divergence2.m @@ -0,0 +1,43 @@ +function KLdiv = KL_divergence2(bnetP, bnetQ) +% KL_DIVERGENCE2 computes the Kullback-Leibler divergence between two BNET distributions +% KLdiv = KL_divergence2(bnetP, bnetQ) +% +% Output : +% div = sum_x P(x).log(P(x)/Q(x)) +% +% Rem : +% This version is optimized for memory use, but quite slow !!! +% ==> if you have no memory problem, use kl_divergence instead +% +% ONLY FOR TABULAR NODES +% Make sure that you have done the params learning. +% +% V1.1 : 8 oct 2004 (Ph. Leray - philippe.leray@univ-nantes.fr) + +N = size(bnetP.dag,1); +N2 = size(bnetQ.dag,1); +ns= bnetP.node_sizes; +ns2= bnetQ.node_sizes; +if N~=N2, error('size of dags must be the same'), end +if ns~=ns2, error('node sizes of dags must be the same'), end +tiny = exp(-700); +KLdiv=0; + +for i=1:prod(ns), + inst = ind2subv(ns, i); % i'th instantiation + Px=1; Qx=1; + for i=1:N, + ps = parents(bnetP.dag, i); + e = bnetP.equiv_class(i); + [tmp Pxi] = prob_node(bnetP.CPD{e}, inst(i), inst(ps)'); + Px=Px*Pxi; + ps = parents(bnetQ.dag, i); + e = bnetQ.equiv_class(i); + [tmp Qxi] = prob_node(bnetQ.CPD{e}, inst(i), inst(ps)'); + Qx=Qx*Qxi; + end + Px = Px + (Px==0)*tiny; % replace 0s by tiny + Qx = Qx + (Qx==0)*tiny; % replace 0s by tiny + KLdiv = KLdiv + Px*log(Px/Qx); +end + diff --git a/sourcecodes/bnt-master/SLP/scoring/mutual_info_score.m b/sourcecodes/bnt-master/SLP/scoring/mutual_info_score.m new file mode 100644 index 00000000..8808a124 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/mutual_info_score.m @@ -0,0 +1,25 @@ +function score = mutual_info_score(i,si,j,sj,data) +% G = mutual_info_score(i,si,j,sj,data) +% Only for tabular node which values are 1,2,...,size . +% si is size of node i, sj is size of node j. +% data(i,m) is the node i in the case m. +% +% Ref : +% C. Chow and C. Liu (1968). Approximating discrete probability distributions with dependence trees. +% IEEE Transactions on Information Theory, 14(3):462--467, May 1968. +% +% francois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr, wangxiangyang@sjtu.edu.cn + +[n N]=size(data); +Nj=hist(data(j,:),1:sj); +Ni=hist(data(i,:),1:si); +NiNj=Ni'*Nj; + +for k=1:si + ind=find(data(i,:)==k) ; + Nij(k,:) = hist(data(j,ind),1:sj); +end + +% sommons les valeurs non-infinies: +ind=find(NiNj~=0 & Nij~=0); +score=sum(sum(Nij(ind).*log(N*Nij(ind)./NiNj(ind))/N)); diff --git a/sourcecodes/bnt-master/SLP/scoring/score_add_to_cache.m b/sourcecodes/bnt-master/SLP/scoring/score_add_to_cache.m new file mode 100644 index 00000000..3c68e4d8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_add_to_cache.m @@ -0,0 +1,67 @@ +function [cache, place] = score_add_to_cache(cache,j,ps,score,scoring_fn) +% [cache place] = score_add_to_cache(cache,j,ps,score,scoring_fn) +% +% j is the son node, +% ps is the list of parents of j, for example [12 5 7], +% score is the score to add for this familly. +% scoring_fn is 'bic' or 'bayesian'. +% +% place = where the entry was add. +% +% example for 2 nodes with cache of size 5 : +% +% cache = +% 5 b 0 0 0 --> number of writing in cache +1 and b==1 iff the cache is full +% 0 0 1 -239.12 1 --> 1st familly in the cache (node 1 without parents) calculate with bic +% 0 0 2 -318.98 1 +% 1 0 2 -189.23 2 --> 3rd familly in the cache (node 2 with 1 as parent) calculate with bayesian +% 0 1 1 -251.09 1 +% .ps2bool. j score 1or2 --> new entry +% | | | | | +% | | | | |___> 1 for 'bic' or 2 for 'bayesian' +% | | | |__________> score of the familly +% | | |_________________> son node of the familly +% | |__________________________> ==1 iff node 2 is parent of son node +% |______________________________> ==1 iff node 1 is parent of son node +% +% If the cache is FULL then the new place is RanDoMly choose. +% +% francois.olivier.c.h@gmail.com + +N=size(cache,2)-3; +place=0; + +if ~isempty(find(ps==j)) + disp('This is a cyclic entry, nothing was done.'); +elseif j>N | j<0 + disp('This entry is not valid, nothing was done.'); +else + + switch scoring_fn + case 'bic', + fn=1; + case 'bayesian', + fn=2; + otherwise, + fn=3; + %error(['unrecognized scoring fn ' scoring_fn]); + end + L=size(cache,1); + + if cache(1,2)==0 + place=cache(1,1); + else + place=ceil(rand(1)*(L-1))+1; + end + + cache(place,:)=0 + cache(place,ps)=1; + cache(place,N+1)=j; + cache(place,N+2)=score; + cache(place,N+3)=fn; + cache(1,1)=place+1; + if place==L | cache(1,2)~=0 + cache(1,2)=1 + end + +end diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab.m b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab.m new file mode 100644 index 00000000..5bc375fc --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab.m @@ -0,0 +1,179 @@ +function [dag,best_score] = learn_struct_gs_dtab(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_GS(data,seeddag) learns a structure of Bayesian net by Greedy Search. +% dag = learn_struct_gs(data, nodesizes, seeddag) +% +% dag: the final structurre matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% +% by Gang Li @ Deakin University (gli73@hotmail.com) +% +% ----------------------------------------------------- +% +% Modified from learn_struct_gs (SLP 1.3) +% to learn structure of BN with tabular nodes: +% +% 1) make use of score decomposibility +% 2) still to do +% +% by Darima , 27/12/2005 +% + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params (the same as in score_dags) +for i=1:N + type{i} = 'tabular'; + params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 }; +end +scoring_fn = 'bayesian'; +discrete = 1:N; +verbose = 'yes'; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'type', type = args{i+1}; + case 'discrete', discrete = args{i+1}; + case 'params', + if isempty(args{i+1}), params = cell(1,n); + else params = args{i+1}; end; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + end; + end; + end; +end; + +done = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); + +it = 0; +while ~done + [dags,op,nodes] = mk_nbrs_of_dag(seeddag); + nbrs = length(dags); +%------ DEBUG + fprintf('DEBUG: nbrs = %6d\n',nbrs); + time_inloop = cputime; +%------ DEND + +% scores = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn); + scores = zeros(nbrs,1); + for i = 1:nbrs + xj = nodes(i,2); + ps_old = parents(seeddag, xj)'; + ps_new = parents(dags{i}, xj)'; + scor_old = score_family(xj, ps_old, type{xj}, scoring_fn, ... + nodesizes, discrete, data, params{xj}); + scor_new = score_family(xj, ps_new, type{xj}, scoring_fn, ... + nodesizes, discrete, data, params{xj}); + scores(i) = best_score - scor_old + scor_new; + if isequal(op{i},'rev') + xi = nodes(i,1); + ps_old = parents(seeddag, xi); + ps_new = parents(dags{i}, xi); + scor_old = score_family(xi, ps_old, type{xi}, scoring_fn, ... + nodesizes, discrete, data, params{xi}); + scor_new = score_family(xi, ps_new, type{xi}, scoring_fn, ... + nodesizes, discrete, data, params{xi}); + scores(i) = scores(i) - scor_old + scor_new; + end + end + + max_score = max(scores); + new = find(scores == max_score ); + +%------ DEBUG + fprintf(' -> max_score = %7.5f\n',max_score); + fprintf(' -> find(scores == max_score): %d... of %d\n',... + new(1),length(new)); +%------ DEND + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; + + it = it+1; +%------ DEBUG + time_inloop = cputime-time_inloop; + fprintf(' time = %12.5f\n',time_inloop); +%------ DEND +end; + +dag = seeddag; + +outcount = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +while outcount < 2 + innercount = 0; + for i=1:N + for j=1:N + if i==j, continue; end; + if seeddag(i,j) == 0 % No edge i-->j, then try to add it + tempdag = seeddag; + tempdag(i,j) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end + else % exists edge i--j, then try reverse it or remove it + tempdag = seeddag; + tempdag(i,j) = 0; tempdag(j,i) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score = temp_score; + innercount = innercount +1; + else + tempdag = seeddag; + tempdag(i,j) = 0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + else + tempdag = seeddag; + tempdag(i,j)=0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + end; + end; % end for j + end; % end for i + if innercount == 0 + outcount = outcount +1; + end; +end; % end while + +%------ DEBUG +fprintf('DEBUG: Number of iterations = %d\n',it); +fprintf('DEBUG: Outcount = %d\n',outcount); +%------ DEND +dag = seeddag; + diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab_INFO.txt b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab_INFO.txt new file mode 100644 index 00000000..dc076d78 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtab_INFO.txt @@ -0,0 +1,91 @@ +Objet: Re: [BayesNetToolbox] cache size in structure learning package (SLP) +De: "Darima Lamazhapova" +Date: Mar 3 janvier 2006 14:13 +to: BayesNetToolbox@yahoogroups.com + +Hi, +I have not done extensive tests with different dataset and cache sizes. +Mostly because I was interested in the case of small dataset, +say dataset size 100. Even in this case seems that using cache +drasticly improves the performance of greedy search. Here are some +numbers (alarm network, dataset 100, greedy search): + no cache - ~11000 sec + cache 100 - 1395 sec + cache 200 - 1386 sec + cache 300 - 1428 sec + cache 500 - 1567 sec + cache 1000 - 1680 sec + cache 3000 - 2196 sec +The reason why greedy search takes so much time without using +cache, i think is that it does not make use of score +decomposibility. +When I have modified the code so that it used decomposibility, + time required for the search decreased from 11000 to 1362 sec +without using cache. Reimplemening score_family in C decreased this +time to 552 sec; after reimplementing score_dag in C and +removing outcount cycle from the learn_struct_gs code (I did not +understand why it is necessary, can anyone explain what is +the use of it, please?) the time required for GS dropped up to 69 sec. +Implementation in C was done only for tabular nodes, Bayesian scoring +function with default priors. If anyone interested I can submit the codes, +although they are not very well tested. +Darima + +Olivier Francois wrote: + +> Hello, +> Can anyone give recommendations on choosing cache size? +> When I used 500, calculations using learn_struct_gs2 for +> ALARM network took about 20 min (dataset size was 100). +> I thought it is a bit slow for 3 GHz computer with 1 Gb memory, +> or am I wrong here? +> I thought that increasing cache size might increase performance, +> however the calculations took even longer. +> I am kinda lost right now. +> Any comments would be highly appreciated. +> Darima +> + +Hi, + +I have seen this phenomenon. +In fact, for all the tests I have done, I advise you to use a cache of size between 200 +and 500. + +When the size is bigger the time spent to search if an entry already exists is quite +similar to the time spend to recalculate the score, specialy if you have a small dataset +(under 1500-2000 samples). +Nevertheless, if you've got a huge dataset (5000 or more), it will be very advantageous +to use the cache option. + +Moreover, I have seen that when you use a big cache (1000 or more), it do not speed up +the computationnal time but you not spent a lot of extented time in using it. +I think it is better to have a too big cache than a too small. + +If the cache is too small you often erase entries that will be recalculate later, +specially if you have a lot of attributes, and the time spent will be equivalent or +higher than if you have not used it. + +But suprisigly, even if you have a lot of nodes and a lot of samples (I have tested to +25x10000 if I remember well), upgrading the size of the cache (1000 and more) do not +seem to improve the computation time. + +- More tests are needed to be sure of that - + +I have not done a lot of tests, and this is only what I believed to see. +Maybe it is better to take a cache of size 2500 or 5000 for a dataset of size 40*50000 +or 60*5000...? + +I also have remarked that, if you use a 'sparse matrix' for the cache inst ead of a +stardart one, that causes a waste of time even if the cache matrix is, in fact, sparse. + + +In your case, with 100 samples, you don't need too use the cache option. + +If you make (or have made for some others ?) more tests with different sample sizes and +different numbers of attributes, I am interrested in getting some comments on your use +of this function. + + +Bonne fetes - Happy Hollidays - Felice Fiestas + Olivier F. diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabx.m b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabx.m new file mode 100644 index 00000000..be624ee8 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabx.m @@ -0,0 +1,181 @@ +function [dag,best_score] = learn_struct_gs_dtabx(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_GS(data,seeddag) learns a structure of Bayesian net by Greedy Search. +% dag = learn_struct_gs(data, nodesizes, seeddag) +% +% dag: the final structure matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% +% by Gang Li @ Deakin University (gli73@hotmail.com) +% +% ----------------------------------------------------- +% +% Modified from learn_struct_gs (SLP 1.3) +% to learn structure of BN with tabular nodes: +% +% 1) make use of score decomposibility +% 2) replace score_family with score_family_x.c that calculates +% Bayesian score with default parameters (non-adjustable) +% +% by Darima , 28/12/2005 +% + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params (the same as in score_dags) +for i=1:N + type{i} = 'tabular'; + params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 }; +end +scoring_fn = 'bayesian'; +discrete = 1:N; +verbose = 'yes'; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'type', type = args{i+1}; + case 'discrete', discrete = args{i+1}; + case 'params', + if isempty(args{i+1}), params = cell(1,n); + else params = args{i+1}; end; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + end; + end; + end; +end; + +%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +datax = data-ones(N,ncases); %%+++++++++++++++++++++++ IMPORTANT!!!! +%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +done = 0; +it = 0; + +while ~done + [dags,op,nodes] = mk_nbrs_of_dag(seeddag); + nbrs = length(dags); +%------ DEBUG + fprintf('DEBUG: nbrs = %6d\n',nbrs); + time_inloop = cputime; +%------ DEND +% scores = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn); + scores = zeros(nbrs,1); + for i = 1:nbrs + xj = nodes(i,2); + ps_old = parents(seeddag, xj)'; + ps_new = parents(dags{i}, xj)'; + scor_old = score_family_x([datax(ps_old,:);datax(xj,:)],... + [nodesizes(ps_old),nodesizes(xj)]); + scor_new = score_family_x([datax(ps_new,:);datax(xj,:)],... + [nodesizes(ps_new),nodesizes(xj)]); + scores(i) = best_score - scor_old + scor_new; + if isequal(op{i},'rev') + xi = nodes(i,1); + ps_old = parents(seeddag, xi); + ps_new = parents(dags{i}, xi); + scor_old = score_family_x([datax(ps_old,:);datax(xi,:)],... + [nodesizes(ps_old),nodesizes(xi)]); + scor_new = score_family_x([datax(ps_new,:);datax(xi,:)],... + [nodesizes(ps_new),nodesizes(xi)]); + scores(i) = scores(i) - scor_old + scor_new; + end + end + max_score = max(scores); + new = find(scores == max_score ); +%------ DEBUG + fprintf(' -> max_score = %7.5f\n',max_score); + fprintf(' -> find(scores == max_score): %d... of %d\n',... + new(1),length(new)); +%------ DEND + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; + it = it+1; +%------ DEBUG + time_inloop = cputime-time_inloop; + fprintf(' time = %12.5f\n',time_inloop); +%------ DEND +end; +dag = seeddag; + +%---------------------------------------------------------------------- + +outcount = 0; +best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +while outcount < 2 + innercount = 0; + for i=1:N + for j=1:N + if i==j, continue; end; + if seeddag(i,j) == 0 % No edge i-->j, then try to add it + tempdag = seeddag; + tempdag(i,j) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end + else % exists edge i--j, then try reverse it or remove it + tempdag = seeddag; + tempdag(i,j) = 0; tempdag(j,i) = 1; + if acyclic(tempdag) + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score = temp_score; + innercount = innercount +1; + else + tempdag = seeddag; + tempdag(i,j) = 0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + else + tempdag = seeddag; + tempdag(i,j)=0; + temp_score = score_dags(data,nodesizes, {tempdag},'scoring_fn',scoring_fn); + if temp_score > best_score + seeddag = tempdag; + best_score= temp_score; + innercount = innercount +1; + end; + end; + end; + end; % end for j + end; % end for i + if innercount == 0 + outcount = outcount +1; + end; +end; % end while + +%------ DEBUG +fprintf('DEBUG: Number of iterations = %d\n',it); +fprintf('DEBUG: Outcount = %d\n',outcount); +%------ DEND +dag = seeddag; + diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabxx.m b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabxx.m new file mode 100644 index 00000000..c0d00f05 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/learn_struct_gs_dtabxx.m @@ -0,0 +1,141 @@ +function [dag,best_score] = learn_struct_gs_dtabxx(data, nodesizes, seeddag, varargin) +% +% LEARN_STRUCT_GS(data,seeddag) learns a structure of Bayesian net by Greedy Search. +% dag = learn_struct_gs(data, nodesizes, seeddag) +% +% dag: the final structure matrix +% Data : training data, data(i,m) is the m obsevation of node i +% Nodesizes: the size array of different nodes +% seeddag: given seed Dag for hill climbing, optional +% +% by Gang Li @ Deakin University (gli73@hotmail.com) +% +% ----------------------------------------------------- +% +% Modified from learn_struct_gs (SLP 1.3) +% to learn structure of BN with tabular nodes: +% +% 1) make use of score decomposibility +% 2) replace score_family with score_family_x.c that calculates +% Bayesian score with default parameters (non-adjustable)% +% 3) replace score_dags with score_dag_x.c +% +% by Darima , 28/12/2005 +% + +% useold = 0; +% if useold +% best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +% else +% best_score = score_dag_x(datax,nodesizes,seeddag); +% end + +[N ncases] = size(data); +if (nargin < 3 ) + seeddag = zeros(N,N); % mk_rnd_dag(N); %call BNT function +elseif ~acyclic(seeddag) + seeddag = mk_rnd_dag(N); %zeros(N,N); +end; + +% set default params (the same as in score_dags) +for i=1:N + type{i} = 'tabular'; + params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 }; +end +scoring_fn = 'bayesian'; +discrete = 1:N; +verbose = 'yes'; + +% get params +args = varargin; +nargs = length(args); +if length(args) > 0 + if isstr(args{1}) + for i = 1:2:nargs + switch args{i} + case 'scoring_fn', scoring_fn = args{i+1}; + case 'type', type = args{i+1}; + case 'discrete', discrete = args{i+1}; + case 'params', + if isempty(args{i+1}), params = cell(1,n); + else params = args{i+1}; end; + case 'verbose', verbose = strcmp(args{i+1},'yes'); + end; + end; + end; +end; + +%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +datax = data-ones(N,ncases); %%+++++++++++++++++++++++ IMPORTANT!!!! +%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +useold = 0; +if useold + best_score = score_dags(data,nodesizes, {seeddag},'scoring_fn',scoring_fn); +else + best_score = score_dag_x(datax,nodesizes,seeddag); +end +done = 0; +it = 0; + +while ~done + [dags,op,nodes] = mk_nbrs_of_dag(seeddag); + nbrs = length(dags); +%------ DEBUG +% fprintf('DEBUG: nbrs = %6d\n',nbrs); +% time_inloop = cputime; +%------ DEND + +% scores = score_dags(data, nodesizes, dags,'scoring_fn',scoring_fn); + scores = zeros(nbrs,1); + for i = 1:nbrs + xj = nodes(i,2); + ps_old = parents(seeddag, xj)'; + ps_new = parents(dags{i}, xj)'; + scor_old = score_family_x([datax(ps_old,:);datax(xj,:)],... + [nodesizes(ps_old),nodesizes(xj)]); + scor_new = score_family_x([datax(ps_new,:);datax(xj,:)],... + [nodesizes(ps_new),nodesizes(xj)]); + scores(i) = best_score - scor_old + scor_new; + if isequal(op{i},'rev') + xi = nodes(i,1); + ps_old = parents(seeddag, xi); + ps_new = parents(dags{i}, xi); + scor_old = score_family_x([datax(ps_old,:);datax(xi,:)],... + [nodesizes(ps_old),nodesizes(xi)]); + scor_new = score_family_x([datax(ps_new,:);datax(xi,:)],... + [nodesizes(ps_new),nodesizes(xi)]); + scores(i) = scores(i) - scor_old + scor_new; + end + end + + max_score = max(scores); + new = find(scores == max_score ); + +%------ DEBUG +% fprintf(' -> max_score = %7.5f\n',max_score); +% fprintf(' -> find(scores == max_score): %d... of %d\n',... +% new(1),length(new)); +%------ DEND + if ~isempty(new) & (max_score > best_score) + p = sample_discrete(normalise(ones(1, length(new)))); + best_score = max_score; + seeddag = dags{new(p)}; + else + done = 1; + end; + + it = it+1; +%------ DEBUG +% time_inloop = cputime-time_inloop; +% fprintf(' time = %12.5f\n',time_inloop); +%------ DEND +end; +dag = seeddag; + +%------ DEBUG +% fprintf('DEBUG: Number of iterations = %d\n',it); +% fprintf('DEBUG: Outcount = %d\n',0); +%------ DEND + + diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_dag_x.c b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_dag_x.c new file mode 100644 index 00000000..d72bf591 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_dag_x.c @@ -0,0 +1,72 @@ +// +// File: score_dag_x.c +// +// MATLAB: +// function score = score_dag_x(data,sz,dag) +// +// DESCRIPTION: +// Calculates Bayesian score for the DAG with tabular nodes +// (as in log_marg_prob_node.m): +// data [nsz x ndata] array +// IMPORTANT: <--- !!!! +// - parents go first +// - values of the nodes are in the range 0..sz[i] +// sz sizes of the nodes +// dag DAG +// ndata # of observations +// nsz # of nodes in the DAG +// with default parameters: +// params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 } +// ...and 'dirichlet_type','BDeu' +// scoring_fn = 'bayesian'; +// etc... +// +// EXAMPLE: +// score_family_x([1 2 1; 1 2 2; 1 1 1],[2 2 2]); +// +// by Darima , 27/12/2005 +// + +#include "mex.h" +#include "score_x.h" + +#define IN_DATA prhs[0] +#define IN_SZ prhs[1] +#define IN_DAG prhs[2] +#define OUT_SCORE plhs[0] +#if !defined(MAX) +#define MAX(A, B) ((A) > (B) ? (A) : (B)) +#endif + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[] ) +{ + int nsz, ndata; + double *sz, *data,*dag, *score; + + /* Check for proper number of arguments */ + + if (nrhs != 3) { + mexErrMsgTxt("Three input arguments required."); + } else if (nlhs > 1) { + mexErrMsgTxt("Too many output arguments."); + } + + /* Assign input arguments */ + + data = mxGetPr(IN_DATA); + sz = mxGetPr(IN_SZ); + dag = mxGetPr(IN_DAG); + ndata = mxGetN(IN_DATA); + nsz = MAX(mxGetM(IN_SZ),mxGetN(IN_SZ)); + + /* Create return argument */ + + OUT_SCORE = mxCreateDoubleScalar(mxREAL); + score = mxGetPr(OUT_SCORE); + + /* Do the actual computations in a subroutine */ + + score_dag_x(data,sz,dag,ndata,nsz,score); + return; +} diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_family_x.c b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_family_x.c new file mode 100644 index 00000000..ce45fd94 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_family_x.c @@ -0,0 +1,71 @@ +// +// File: score_family_x.c +// +// MATLAB: +// function score = score_family_x(data,sz) +// +// DESCRIPTION: +// Calculates Bayesian score for the family of tabular nodes +// (as in log_marg_prob_node.m): +// data [nsz x ndata] array +// IMPORTANT: <--- !!!! +// - parents go first +// - values of the nodes are in the range 0..sz[i] +// sz sizes of the nodes in the family +// ndata # of observations +// nsz # of nodes in the family +// with default parameters: +// params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 } +// ...and 'dirichlet_type','BDeu' +// scoring_fn = 'bayesian'; +// etc... +// +// EXAMPLE: +// score_family_x([1 2 1; 1 2 2; 1 1 1],[2 2 2]); // ans = -2.0794 +// +// by Darima , 27/12/2005 +// + +#include "mex.h" +#include "score_x.h" + +#define IN_DATA prhs[0] +#define IN_SZ prhs[1] +#define OUT_SCORE plhs[0] +#if !defined(MAX) +#define MAX(A, B) ((A) > (B) ? (A) : (B)) +#endif + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[] ) +{ + int nsz, ndata; + double *sz, *data, *score; + int i,j; + + /* Check for proper number of arguments */ + + if (nrhs != 2) { + mexErrMsgTxt("Two input arguments required."); + } else if (nlhs > 1) { + mexErrMsgTxt("Too many output arguments."); + } + + /* Assign input arguments */ + + data = mxGetPr(IN_DATA); + sz = mxGetPr(IN_SZ); + ndata = mxGetN(IN_DATA); + nsz = MAX(mxGetM(IN_SZ),mxGetN(IN_SZ)); + + /* Create return argument */ + + OUT_SCORE = mxCreateDoubleScalar(mxREAL); + score = mxGetPr(OUT_SCORE); + + /* Do the actual computations in a subroutine */ + + score_family_x(data,sz,nsz,ndata,score); + return; +} + diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.c b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.c new file mode 100644 index 00000000..b63111f6 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.c @@ -0,0 +1,168 @@ +// +// File: score_x.c +// +// +// by Darima , 27/12/2005 +// + +#include +#include +#include +#include +#include "score_x.h" + +void score_dag_x(double *data,double *sz,double *dag, + int ndata,int nsz,double* score) +// +// GOTO: score_dag_x.c +// by Darima , 27/12/2005 +// +{ + double *fdata,*fsz,*fscore; + int fnsz,*family; + int i,j,k; + + fdata = (double*)malloc(nsz*ndata*sizeof(double)); + fsz = (double*)malloc(nsz*sizeof(double)); + fscore = (double*)malloc(sizeof(double)); + family = (int*)malloc(nsz*sizeof(int)); + *score = 0; + + for (j=0;j, 27/12/2005 +// +{ + int self_sz, ps_sz; + double prior1, prior2, *count; + int i,j,k; double idx,tsz,N_ij; + + // self_sz - number of values of current node + // ps_sz - number of configurations of parents + + self_sz = sz[nsz-1]; + ps_sz = 1; for (i=0;i idx + // 2) increment corresponding count: count[idx,node_val]++ + // + // example: + // case1 case2 etc + // ----------------------------- + // p1 | 0 1 ... + // p2 | 0 0 ... + // node | 1 1 ... + // + // notice: array[i,j,k] -> array[i+j*ni+k*ni*nj] + // + // example 1: data[i,j] -> data[i+j*nsz] + // + // example 2: consider family with 5 parents + // - [p1,p2,..,p5] -> IDX5 + // IDX5 = p1 + p2*p1_sz + p3*p1_sz*p2_sz + ... + + // p5*p1_sz*p2_sz*p3_sz*p4_sz + // - [p1,p2,..,p5,node_val] -> IDXFAM + // IDXFAM = IDX5 + node_val*ps_sz + // count[IDX5,node_val] ->count[IDXFAM] + + idx = data[0+j*nsz]; tsz = 1; + for (i=1;i 0. +// from "Numerical Recipes in C" +// +{ + double x,y,tmp,ser; + static double cof[6]={ + 76.18009172947146,-86.50532032941677, + 24.01409824083091,-1.231739572450155, + 0.1208650973866179e-2,-0.5395239384953e-5}; + int j; + y=x=xx; + tmp=x+5.5; + tmp -= (x+0.5)*log(tmp); + ser=1.000000000190015; + for (j=0;j<=5;j++) ser += cof[j]/++y; + return -tmp+log(2.5066282746310005*ser/x); +} diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.h b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.h new file mode 100644 index 00000000..8fc1c213 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dag.c/score_x.h @@ -0,0 +1,19 @@ +// +// File: score_x.h +// +// +// by Darima , 27/12/2005 +// + +#ifndef score_x_h +#define mex_h + +void score_family_x(double *data,double *sz, + int ndata,int nsz,double* score); + +void score_dag_x(double *data,double *sz,double *dag, + int nsz,int ndata,double* score); + +double gammaln(double xx); + +#endif // score_x_h diff --git a/sourcecodes/bnt-master/SLP/scoring/score_dags.m b/sourcecodes/bnt-master/SLP/scoring/score_dags.m new file mode 100644 index 00000000..acda3e0f --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_dags.m @@ -0,0 +1,74 @@ +function [score, cache] = score_dags(data, ns, dags, varargin) +% SCORE_DAGS Compute the score of one or more DAGs +% score = score_dags(data, ns, dags, varargin) +% +% data{i,m} = value of node i in case m (can be a cell array). +% node_sizes(i) is the number of size of node i. +% dags{g} is the g'th dag +% score(g) is the score of the i'th dag +% +% The following optional arguments can be specified in the form of name/value pairs: +% [default value in brackets] +% +% scoring_fn - 'bayesian' or 'bic' [ 'bayesian' ] +% Currently, only networks with all tabular nodes support Bayesian scoring. +% type - type{i} is the type of CPD to use for node i, where the type is a string +% of the form 'tabular', 'noisy_or', 'gaussian', etc. [ all cells contain 'tabular' ] +% params - params{i} contains optional arguments passed to the CPD constructor for node i, +% or [] if none. [ all cells contain {'prior', 1}, meaning use uniform Dirichlet priors ] +% discrete - the list of discrete nodes [ 1:N ] +% clamped - clamped(i,m) = 1 if node i is clamped in case m [ zeros(N, ncases) ] +% cache - data structure used to memorize local score computations (cf. SCORE_INIT_CACHE function) [ [] ] +% +% e.g., score = score_dags(data, ns, mk_all_dags(n), 'scoring_fn', 'bic', 'params', [],'cache',cache); +% +% (Caching implementation : francois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr) +% ("Clamped" optimisation : Derek Hoiem ) + +[n ncases] = size(data); + +% set default params +type = cell(1,n); +params = cell(1,n); +cache=[]; +for i=1:n + type{i} = 'tabular'; + params{i} = { 'prior_type', 'dirichlet', 'dirichlet_weight', 1 }; +end +scoring_fn = 'bayesian'; +discrete = 1:n; + +isclamped = 0; % DWH +clamped = zeros(n, ncases); +u = [1:ncases]'; % DWH + +args = varargin; +nargs = length(args); +for i=1:2:nargs + switch args{i}, + case 'scoring_fn', scoring_fn = args{i+1}; + case 'type', type = args{i+1}; + case 'discrete', discrete = args{i+1}; + case 'clamped', clamped = args{i+1}, isclamped = 1; %DWH + case 'params', if isempty(args{i+1}), params = cell(1,n); else params = args{i+1}; end + case 'cache', cache=args{i+1} ; + end +end + +NG = length(dags); +score = zeros(1, NG); + +for j=1:n + if isclamped %DWH + u = find(clamped(j,:)==0); + end + for g=1:NG + if isempty(dags{g}) + score(g)=-Inf; + else + ps = parents(dags{g}, j); + [scor cache] = score_family(j, ps, type{j}, scoring_fn, ns, discrete, data(:,u), params{j}, cache); + score(g) = score(g) + scor; + end + end +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/scoring/score_family.m b/sourcecodes/bnt-master/SLP/scoring/score_family.m new file mode 100644 index 00000000..085fcf48 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_family.m @@ -0,0 +1,218 @@ +function [score, cache] = score_family(j, ps, node_type, scoring_fn, ns, discrete, data, args, cache) +% SCORE_FAMILY_COMPLETE Compute the score of a node and its parents given completely observed data +% score = score_family(j, ps, node_type, scoring_fn, ns, discrete, data, args, cache) +% +% data(i,m) is the value of node i in case m (can be a cell array, if contain missing value, it uses only available complete cases for an entry) +% args is a cell array containing optional arguments passed to the constructor, +% or is [] if none +% cache is a data structure used to memorize local score computations +% (cf. SCORE_INIT_CACHE function) +% +% We create a whole Bayes net which only connects parents to node, +% where node has a CPD of the specified type (with default parameters). +% We then evaluate its score ('bic' or 'bayesian') +% We should use a cache to avoid unnecessary computation. +% In particular, log_marginal_prob_node for tabular CPDs calls gammaln +% and compute_counts, both of which are slow. +% +% (Caching implementation : ofrancois.olivier.c.h@gmail.com, philippe.leray@univ-nantes.fr) +% + +if (nargin<9 || isempty(cache)) , c=0; else c=1; end +%tic +if c==1 + [b,score]=score_find_in_cache(cache,j,ps,scoring_fn); +else + b=0; +end +%Tfind=toc +ccc = iscell(data); +ps = unique(ps); + +if b==0 + misv = -9999; + if ccc, data = bnt_to_mat(data,misv); end + [n ncases] = size(data); + dag = zeros(n,n); + % SML added to sort ps b/c mk_bnet, learn_params use sorted ps to make + % CPTs % Kevin had: if ~isempty(ps), dag(ps, j) = 1; end + if ~isempty(ps), dag(ps, j) = 1;, ps = sort(ps);, end + + bnet = mk_bnet(dag, ns, 'discrete', discrete); + fname = sprintf('%s_CPD', node_type); + if isempty(args) + bnet.CPD{j} = feval(fname, bnet, j); + else + bnet.CPD{j} = feval(fname, bnet, j, args{:}); + end + %tic + switch scoring_fn + case 'bic', + fam = [ps j]; + if ccc, + [tmp, available_case] = find(data(fam,:)==misv); + available_case = mysetdiff(1:ncases, available_case); + else available_case = 1:ncases; + end + bnet.CPD{j} = learn_params(bnet.CPD{j}, fam, data(:,available_case), ns, bnet.cnodes); + %L = log_prob_node(bnet.CPD{j}, data(j,:), data(ps,:)); + L = log_prob_node(bnet.CPD{j}, data(j,available_case), data(ps,available_case)); + S = struct(bnet.CPD{j}); % violate object privacy + score = L - 0.5*S.nparams*log(length(available_case)); + case 'bicmod', + fam = [ps j]; + if ccc, + [tmp, available_case] = find(data(fam,:)==misv); + available_case = mysetdiff(1:ncases, available_case); + else available_case = 1:ncases; + end + bnet.CPD{j} = learn_params(bnet.CPD{j}, fam, data(:,available_case), ns, bnet.cnodes); + L = log_prob_node(bnet.CPD{j}, data(j,available_case), data(ps,available_case)); + S = struct(bnet.CPD{j}); % violate object privacy + score = L - S.nparams*log(length(available_case)); + case 'bayesian', + fam = [ps j]; + if ccc, + [tmp, available_case] = find(data(fam,:)==misv); + available_case = mysetdiff(1:ncases, available_case); + else available_case = 1:ncases; + end + score = log_marg_prob_node(bnet.CPD{j}, data(j,available_case), data(ps,available_case)); + otherwise, + error(['unrecognized scoring fn ' scoring_fn]); + end + %Tcalc=toc + %tic + if c==1 +% fprintf('a\n') + cache=score_add_to_cache(cache,j,ps,score,scoring_fn); + end + %Tecr=toc +% else +% fprintf('*\n') +end + +%===========================Inner functions + +function [cache, place] = score_add_to_cache(cache,j,ps,score,scoring_fn) +% [cache place] = score_add_to_cache(cache,j,ps,score,scoring_fn) +% +% j is the son node, +% ps is the list of parents of j, for example [12 5 7], +% score is the score to add for this familly. +% scoring_fn is 'bic' or 'bayesian'. +% +% place = where the entry was add. +% +% example for 2 nodes with cache of size 5 : +% +% cache = +% Nw b 0 0 0 --> Nw=number of writings in cache (+1) and b==1 iff the cache is full +% 0 0 1 -239.12 1 --> 1st familly in the cache (node 1 without parents) calculate with bic +% 0 0 2 -318.98 1 +% 1 0 2 -189.23 2 --> 3rd familly in the cache (node 2 with 1 as parent) calculate with bayésian +% 0 1 1 -251.09 1 +% .ps2bool. j score 1or2 --> new entry +% | | | | | +% | | | | |___> scoring function : 1 for 'bic' or 2 for 'bayesian' +% | | | |__________> score of the familly +% | | |_________________> son node of the familly +% | |__________________________> ==1 iff node 2 is parent of son node +% |______________________________> ==1 iff node 1 is parent of son node +% +% If the cache is FULL then the new place is RanDomly choose. +% +% V1.1 : 5 may 2003 (O. Francois, Ph. Leray) + +N=size(cache,2)-3; +L=size(cache,1)-1; +cache_full=cache(1,2) ; + +place=0; + +if ismember(j,ps) + disp('This is a cyclic entry, nothing was done.'); +elseif j>N || j<=0 + disp('This entry is not valid, nothing was done.'); +else + switch scoring_fn + case 'bic', + fn=1; + case 'bayesian', + fn=2; + otherwise, + fn=3; + %error(['unrecognized scoring fn ' scoring_fn]); + end + + if ~cache_full + place=cache(1,1); + else + [ignore place]=max(rand(1,L)); place=place+1; + end + + cache(place,:)=0; + cache(place,ps)=1; + cache(place,N+1)=j; + cache(place,N+2)=score; + cache(place,N+3)=fn; + + cache(1,1)=place+1; + if place>L || cache(1,2)~=0 + cache(1,2)=1; + end +end + + +%========================================================================================= +function [bool, score] = score_find_in_cache(cache,j,ps,scoring_fn) +% cache = score_find_in_cache(cache,j,ps,scoring_fn) +% +% V1.1 : 5 may 2003 (O. Francois, Ph. Leray) + + +%tic +L=size(cache,1)-1; +N=size(cache,2)-3; + +if N<1 + bool=0; + score=0; + return +end + +parents=zeros(1,N); +parents(ps)=1; +%parents(N+1)=j; + +switch scoring_fn +case 'bic', + fn=1; +case 'bayesian', + fn=2; +otherwise, + fn=3; + %error(['unrecognized scoring fn ' scoring_fn]); +end + +tmp=find(cache(2:L+1,N+3)==fn); +tmp=tmp+1; +tmp2=find(cache(tmp,N+1)==j); +candidats=tmp(tmp2); + +i=1; +while i<=N & ~isempty(candidats) + tmp=find(cache(candidats,i)==parents(i)); + candidats=candidats(tmp); + i=i+1; +end + +%Tpre=toc + +bool=~isempty(candidats); + +if bool + score=cache(candidats(1),N+2); +else + score=0; +end diff --git a/sourcecodes/bnt-master/SLP/scoring/score_find_in_cache.m b/sourcecodes/bnt-master/SLP/scoring/score_find_in_cache.m new file mode 100644 index 00000000..61f282e9 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_find_in_cache.m @@ -0,0 +1,63 @@ +function [bool, score] = score_find_in_cache(cache,j,ps,scoring_fn) +% [bool, score] = score_find_in_cache(cache,j,ps,scoring_fn) +% +% francois.olivier.c.h@gmail.com + +%tic +L=size(cache,1); +N=size(cache,2)-3; + +if N<1 + bool=0; + score=0; + return +end + +parents=zeros(1,N+1); +parents(ps)=1;parents(N+1)=j; + +switch scoring_fn + case 'bic', + fn=1; + case 'bayesian', + fn=2; + otherwise, + fn=3; + %error(['unrecognized scoring fn ' scoring_fn]); +end + +%parent = str2num(num2str(parents,'%1d')); +%[tmp y]=find(cache(:,N+3)==fn); +%if ~isempty(tmp) +% [tmp2 y]=find(str2num(num2str(cache(tmp,1:N+1),'%1d'))==parent); +% candidats=tmp(tmp2); +%else +% candidats=[]; +%end + +[tmp y]=find(cache(2:L,N+3)==fn); +tmp=tmp+1; +[tmp2 y]=find(cache(tmp,N+1)==j); +candidats=tmp(tmp2); +if ~isempty(candidats) + for i=1:N % N=size(cache,2)-3; + if ~isempty(candidats) + [tmp2 y]=find(cache(tmp,i)==parents(i)); + candidats=intersect(candidats,tmp(tmp2)); + end + end +end + +%Tpre=toc + +if ~isempty(candidats) + bool=1; +else + bool=0; +end + +if bool + score=cache(candidats(1),N+2); +else + score=0; +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/SLP/scoring/score_init_cache.m b/sourcecodes/bnt-master/SLP/scoring/score_init_cache.m new file mode 100644 index 00000000..fcbca268 --- /dev/null +++ b/sourcecodes/bnt-master/SLP/scoring/score_init_cache.m @@ -0,0 +1,29 @@ +function cache = score_init_cache(N,L) +% SCORE_INIT_CACHE generate an empty cache for local computation in structure learning +% cache = score_init_cache(number_of_nodes,cache_size) +% +% For 2 nodes with cache of size 5 : +% +% cache = +% Nw b 0 0 0 --> Nw=number of writings in cache (+1) and b==1 iff the cache is full +% 0 0 1 -239.12 1 --> 1st familly in the cache (node 1 without parents) calculate with bic +% 0 0 2 -318.98 1 +% 1 0 2 -189.23 2 --> 3rd familly in the cache (node 2 with 1 as parent) calculate with bayesian +% 0 1 1 -251.09 1 +% 0 0 0 0 0 --> empty entry +% | | | | | +% | | | | |___> scoring function : 1 for 'bic', 2 for 'bayesian', ... +% | | | |__________> local score of the familly +% | | |_________________> son node of the familly +% | |__________________________> ==1 iff node 2 is parent of son node +% |______________________________> ==1 iff node 1 is parent of son node +% +% +% V1.1 : 6 may 2003 (O. Francois - francois.olivier.c.h@gmail.com, Ph. Leray - philippe.leray@univ-nantes.fr) +% +% + +cache=zeros(L+1,N+3); +cache(1,1)=2; + +% using a sparse matrix does not improve performances diff --git a/sourcecodes/bnt-master/bntRoot.m b/sourcecodes/bnt-master/bntRoot.m new file mode 100644 index 00000000..ffbef3a9 --- /dev/null +++ b/sourcecodes/bnt-master/bntRoot.m @@ -0,0 +1,4 @@ +function r = bntRoot() +% Return directory name where bnt is stored + r = fileparts(which(mfilename)); +end diff --git a/sourcecodes/bnt-master/docs/ChangeLog.Sourceforge.txt b/sourcecodes/bnt-master/docs/ChangeLog.Sourceforge.txt new file mode 100644 index 00000000..17ec3df1 --- /dev/null +++ b/sourcecodes/bnt-master/docs/ChangeLog.Sourceforge.txt @@ -0,0 +1,4436 @@ + + +2007-02-11 17:12 nsaunier + + * BNT/learning/learn_struct_pdag_pc.m: Bug submitted by Imme Ebert-Uphoff (ebert@tree.com) (see Thu Feb 8, 2007 email on the BNT mailing list). + +2005-11-26 12:12 yozhik + + * BNT/inference/dynamic/@hmm_inf_engine/fwdback_twoslice.m: merged + fwdback_twoslice.m to release branch + +2005-11-25 17:24 nsaunier + + * BNT/inference/dynamic/@hmm_inf_engine/fwdback_twoslice.m: adding + old missing fwdback_twoslice.m + +2005-11-25 17:24 yozhik + + * BNT/inference/dynamic/@hmm_inf_engine/fwdback_twoslice.m: file + fwdback_twoslice.m was added on branch release-1_0 on 2005-11-26 + 20:12:05 +0000 + +2005-09-25 15:54 yozhik + + * BNT/add_BNT_to_path.m: fix paths + +2005-09-25 15:30 yozhik + + * BNT/add_BNT_to_path.m: Restored directories to path. + +2005-09-25 15:29 yozhik + + * HMM/fwdback_twoslice.m: added missing fwdback_twoslice + +2005-09-17 11:14 yozhik + + * ChangeLog, BNT/add_BNT_to_path.m, BNT/test_BNT.m, + BNT/examples/static/cmp_inference_static.m, + BNT/inference/dynamic/@hmm_inf_engine/enter_evidence.m: Merged + bug fixes from HEAD. + +2005-09-17 11:11 yozhik + + * ChangeLog: added change log + +2005-09-17 11:11 yozhik + + * ChangeLog: file ChangeLog was added on branch release-1_0 on + 2005-09-17 18:14:47 +0000 + +2005-09-17 10:00 yozhik + + * BNT/inference/dynamic/@hmm_inf_engine/enter_evidence.m: Temporary + rollback to fix error, per Kevin. + +2005-09-17 09:59 yozhik + + * BNT/examples/static/cmp_inference_static.m: Commented out + erroneous line, per Kevin. + +2005-09-17 09:58 yozhik + + * BNT/add_BNT_to_path.m: Changed to require BNT_HOME to be + predefined. + +2005-09-17 09:56 yozhik + + * BNT/test_BNT.m: Commented out problematic tests. + +2005-09-17 09:38 yozhik + + * BNT/test_BNT.m: renable tests + +2005-09-12 22:18 yozhik + + * KPMtools/pca_kpm.m: Initial import of code base from Kevin + Murphy. + +2005-09-12 22:18 yozhik + + * KPMtools/pca_kpm.m: Initial revision + +2005-08-29 10:44 yozhik + + * graph/: README.txt, Old/best_first_elim_order.m, + Old/dag_to_jtree.m, Old/dfs.m, Old/dsep_test.m, + Old/mk_2D_lattice_slow.m, acyclic.m, assignEdgeNums.m, + best_first_elim_order.m, check_jtree_property.m, + check_triangulated.m, children.m, cliques_to_jtree.m, + cliques_to_strong_jtree.m, connected_graph.m, + dag_to_essential_graph.m, dfs.m, dfs_test.m, dijkstra.m, + family.m, graph_separated.m, graph_to_jtree.m, + min_subtree_con_nodes.m, minimum_spanning_tree.m, minspan.m, + mk_2D_lattice.m, mk_2D_lattice_slow.m, mk_adj_mat.m, + mk_adjmat_chain.m, mk_all_dags.m, mk_nbrs_of_dag.m, + mk_nbrs_of_digraph.m, mk_nbrs_of_digraph_broken.m, + mk_nbrs_of_digraph_not_vectorized.m, mk_rnd_dag.m, + mk_rnd_dag_given_edge_prob.m, mk_rooted_tree.m, mk_undirected.m, + moralize.m, neighbors.m, parents.m, pred2path.m, + reachability_graph.m, scc.m, strong_elim_order.m, test.m, + test_strong_root.m, topological_sort.m, trees.txt, triangulate.c, + triangulate.m, triangulate_2Dlattice_demo.m, triangulate_test.m: + Initial import of code base from Kevin Murphy. + +2005-08-29 10:44 yozhik + + * graph/: README.txt, Old/best_first_elim_order.m, + Old/dag_to_jtree.m, Old/dfs.m, Old/dsep_test.m, + Old/mk_2D_lattice_slow.m, acyclic.m, assignEdgeNums.m, + best_first_elim_order.m, check_jtree_property.m, + check_triangulated.m, children.m, cliques_to_jtree.m, + cliques_to_strong_jtree.m, connected_graph.m, + dag_to_essential_graph.m, dfs.m, dfs_test.m, dijkstra.m, + family.m, graph_separated.m, graph_to_jtree.m, + min_subtree_con_nodes.m, minimum_spanning_tree.m, minspan.m, + mk_2D_lattice.m, mk_2D_lattice_slow.m, mk_adj_mat.m, + mk_adjmat_chain.m, mk_all_dags.m, mk_nbrs_of_dag.m, + mk_nbrs_of_digraph.m, mk_nbrs_of_digraph_broken.m, + mk_nbrs_of_digraph_not_vectorized.m, mk_rnd_dag.m, + mk_rnd_dag_given_edge_prob.m, mk_rooted_tree.m, mk_undirected.m, + moralize.m, neighbors.m, parents.m, pred2path.m, + reachability_graph.m, scc.m, strong_elim_order.m, test.m, + test_strong_root.m, topological_sort.m, trees.txt, triangulate.c, + triangulate.m, triangulate_2Dlattice_demo.m, triangulate_test.m: + Initial revision + +2005-08-26 18:08 yozhik + + * KPMtools/fullfileKPM.m: Initial import of code base from Kevin + Murphy. + +2005-08-26 18:08 yozhik + + * KPMtools/fullfileKPM.m: Initial revision + +2005-08-21 13:00 yozhik + + * + BNT/inference/static/@pearl_inf_engine/private/parallel_protocol.m: + Initial import of code base from Kevin Murphy. + +2005-08-21 13:00 yozhik + + * + BNT/inference/static/@pearl_inf_engine/private/parallel_protocol.m: + Initial revision + +2005-07-11 12:07 yozhik + + * KPMtools/plotcov2New.m: Initial import of code base from Kevin + Murphy. + +2005-07-11 12:07 yozhik + + * KPMtools/plotcov2New.m: Initial revision + +2005-07-06 12:32 yozhik + + * KPMtools/montageKPM2.m: Initial import of code base from Kevin + Murphy. + +2005-07-06 12:32 yozhik + + * KPMtools/montageKPM2.m: Initial revision + +2005-06-27 18:35 yozhik + + * KPMtools/montageKPM3.m: Initial import of code base from Kevin + Murphy. + +2005-06-27 18:35 yozhik + + * KPMtools/montageKPM3.m: Initial revision + +2005-06-27 18:30 yozhik + + * KPMtools/cell2matPad.m: Initial import of code base from Kevin + Murphy. + +2005-06-27 18:30 yozhik + + * KPMtools/cell2matPad.m: Initial revision + +2005-06-15 14:13 yozhik + + * BNT/CPDs/@gaussian_CPD/gaussian_CPD.m: Initial import of code + base from Kevin Murphy. + +2005-06-15 14:13 yozhik + + * BNT/CPDs/@gaussian_CPD/gaussian_CPD.m: Initial revision + +2005-06-08 18:56 yozhik + + * Kalman/testKalman.m: Initial import of code base from Kevin + Murphy. + +2005-06-08 18:56 yozhik + + * Kalman/testKalman.m: Initial revision + +2005-06-08 18:25 yozhik + + * HMM/: testHMM.m, fixed_lag_smoother_demo.m: Initial import of + code base from Kevin Murphy. + +2005-06-08 18:25 yozhik + + * HMM/: testHMM.m, fixed_lag_smoother_demo.m: Initial revision + +2005-06-08 18:22 yozhik + + * HMM/: README.txt, dhmm_em.m: Initial import of code base from + Kevin Murphy. + +2005-06-08 18:22 yozhik + + * HMM/: README.txt, dhmm_em.m: Initial revision + +2005-06-08 18:17 yozhik + + * HMM/fwdback.m: Initial import of code base from Kevin Murphy. + +2005-06-08 18:17 yozhik + + * HMM/fwdback.m: Initial revision + +2005-06-05 11:46 yozhik + + * KPMtools/: rectintLoopC.c, rectintLoopC.dll: Initial import of + code base from Kevin Murphy. + +2005-06-05 11:46 yozhik + + * KPMtools/: rectintLoopC.c, rectintLoopC.dll: Initial revision + +2005-06-01 12:39 yozhik + + * KPMtools/montageKPM.m: Initial import of code base from Kevin + Murphy. + +2005-06-01 12:39 yozhik + + * KPMtools/montageKPM.m: Initial revision + +2005-05-31 21:49 yozhik + + * KPMtools/initFigures.m: Initial import of code base from Kevin + Murphy. + +2005-05-31 21:49 yozhik + + * KPMtools/initFigures.m: Initial revision + +2005-05-31 11:19 yozhik + + * KPMstats/unidrndKPM.m: Initial import of code base from Kevin + Murphy. + +2005-05-31 11:19 yozhik + + * KPMstats/unidrndKPM.m: Initial revision + +2005-05-30 15:08 yozhik + + * KPMtools/filepartsLast.m: Initial import of code base from Kevin + Murphy. + +2005-05-30 15:08 yozhik + + * KPMtools/filepartsLast.m: Initial revision + +2005-05-29 23:01 yozhik + + * KPMtools/plotBox.m: Initial import of code base from Kevin + Murphy. + +2005-05-29 23:01 yozhik + + * KPMtools/plotBox.m: Initial revision + +2005-05-25 18:31 yozhik + + * KPMtools/plotColors.m: Initial import of code base from Kevin + Murphy. + +2005-05-25 18:31 yozhik + + * KPMtools/plotColors.m: Initial revision + +2005-05-25 12:11 yozhik + + * KPMtools/genpathKPM.m: Initial import of code base from Kevin + Murphy. + +2005-05-25 12:11 yozhik + + * KPMtools/genpathKPM.m: Initial revision + +2005-05-23 17:03 yozhik + + * netlab3.3/demhmc1.m: Initial import of code base from Kevin + Murphy. + +2005-05-23 17:03 yozhik + + * netlab3.3/demhmc1.m: Initial revision + +2005-05-23 16:44 yozhik + + * netlab3.3/gmminit.m: Initial import of code base from Kevin + Murphy. + +2005-05-23 16:44 yozhik + + * netlab3.3/gmminit.m: Initial revision + +2005-05-23 16:07 yozhik + + * netlab3.3/metrop.m: Initial import of code base from Kevin + Murphy. + +2005-05-23 16:07 yozhik + + * netlab3.3/metrop.m: Initial revision + +2005-05-22 23:23 yozhik + + * netlab3.3/demmet1.m: Initial import of code base from Kevin + Murphy. + +2005-05-22 23:23 yozhik + + * netlab3.3/demmet1.m: Initial revision + +2005-05-22 16:32 yozhik + + * KPMstats/: dirichletrnd.m, dirichletpdf.m, test_dir.m, + multirnd.m, multipdf.m: Initial import of code base from Kevin + Murphy. + +2005-05-22 16:32 yozhik + + * KPMstats/: dirichletrnd.m, dirichletpdf.m, test_dir.m, + multirnd.m, multipdf.m: Initial revision + +2005-05-13 13:52 yozhik + + * KPMtools/: asort.m, dirKPM.m: Initial import of code base from + Kevin Murphy. + +2005-05-13 13:52 yozhik + + * KPMtools/: asort.m, dirKPM.m: Initial revision + +2005-05-09 18:32 yozhik + + * netlab3.3/dem2ddat.m: Initial import of code base from Kevin + Murphy. + +2005-05-09 18:32 yozhik + + * netlab3.3/dem2ddat.m: Initial revision + +2005-05-09 15:20 yozhik + + * KPMtools/: mkdirKPM.m, optimalMatching.m, optimalMatchingTest.m, + subsets1.m: Initial import of code base from Kevin Murphy. + +2005-05-09 15:20 yozhik + + * KPMtools/: mkdirKPM.m, optimalMatching.m, optimalMatchingTest.m, + subsets1.m: Initial revision + +2005-05-09 09:47 yozhik + + * KPMtools/bipartiteMatchingDemo.m: Initial import of code base + from Kevin Murphy. + +2005-05-09 09:47 yozhik + + * KPMtools/bipartiteMatchingDemo.m: Initial revision + +2005-05-08 22:25 yozhik + + * KPMtools/bipartiteMatchingIntProg.m: Initial import of code base + from Kevin Murphy. + +2005-05-08 22:25 yozhik + + * KPMtools/bipartiteMatchingIntProg.m: Initial revision + +2005-05-08 21:45 yozhik + + * KPMtools/bipartiteMatchingDemoPlot.m: Initial import of code base + from Kevin Murphy. + +2005-05-08 21:45 yozhik + + * KPMtools/bipartiteMatchingDemoPlot.m: Initial revision + +2005-05-08 19:55 yozhik + + * KPMtools/subsetsFixedSize.m: Initial import of code base from + Kevin Murphy. + +2005-05-08 19:55 yozhik + + * KPMtools/subsetsFixedSize.m: Initial revision + +2005-05-08 15:48 yozhik + + * KPMtools/centeringMatrix.m: Initial import of code base from + Kevin Murphy. + +2005-05-08 15:48 yozhik + + * KPMtools/centeringMatrix.m: Initial revision + +2005-05-08 10:51 yozhik + + * netlab3.3/demgmm1.m: Initial import of code base from Kevin + Murphy. + +2005-05-08 10:51 yozhik + + * netlab3.3/demgmm1.m: Initial revision + +2005-05-06 18:09 yozhik + + * BNT/add_BNT_to_path.m: Initial import of code base from Kevin + Murphy. + +2005-05-06 18:09 yozhik + + * BNT/add_BNT_to_path.m: Initial revision + +2005-05-03 21:35 yozhik + + * KPMstats/standardize.m: Initial import of code base from Kevin + Murphy. + +2005-05-03 21:35 yozhik + + * KPMstats/standardize.m: Initial revision + +2005-05-03 13:18 yozhik + + * KPMstats/histCmpChi2.m: Initial import of code base from Kevin + Murphy. + +2005-05-03 13:18 yozhik + + * KPMstats/histCmpChi2.m: Initial revision + +2005-05-03 12:01 yozhik + + * KPMtools/strsplit.m: Initial import of code base from Kevin + Murphy. + +2005-05-03 12:01 yozhik + + * KPMtools/strsplit.m: Initial revision + +2005-05-02 13:19 yozhik + + * KPMtools/hsvKPM.m: Initial import of code base from Kevin Murphy. + +2005-05-02 13:19 yozhik + + * KPMtools/hsvKPM.m: Initial revision + +2005-04-27 11:34 yozhik + + * BNT/potentials/@dpot/: subsasgn.m, subsref.m: Initial import of + code base from Kevin Murphy. + +2005-04-27 11:34 yozhik + + * BNT/potentials/@dpot/: subsasgn.m, subsref.m: Initial revision + +2005-04-27 10:58 yozhik + + * KPMtools/mahal2conf.m, nethelp3.3/conffig.htm, + nethelp3.3/confmat.htm, nethelp3.3/conjgrad.htm, + nethelp3.3/consist.htm, nethelp3.3/convertoldnet.htm, + nethelp3.3/datread.htm, nethelp3.3/datwrite.htm, + nethelp3.3/dem2ddat.htm, nethelp3.3/demard.htm, + nethelp3.3/demev1.htm, nethelp3.3/demev2.htm, + nethelp3.3/demev3.htm, nethelp3.3/demgauss.htm, + nethelp3.3/demglm1.htm, nethelp3.3/demglm2.htm, + nethelp3.3/demgmm1.htm, nethelp3.3/demgmm2.htm, + nethelp3.3/demgmm3.htm, nethelp3.3/demgmm4.htm, + nethelp3.3/demgmm5.htm, nethelp3.3/demgp.htm, + nethelp3.3/demgpard.htm, nethelp3.3/demgpot.htm, + nethelp3.3/demgtm1.htm, nethelp3.3/demgtm2.htm, + nethelp3.3/demhint.htm, nethelp3.3/demhmc1.htm, + nethelp3.3/demhmc2.htm, nethelp3.3/demhmc3.htm, + nethelp3.3/demkmn1.htm, nethelp3.3/demknn1.htm, + nethelp3.3/demmdn1.htm, nethelp3.3/demmet1.htm, + nethelp3.3/demmlp1.htm, nethelp3.3/demmlp2.htm, + nethelp3.3/demnlab.htm, nethelp3.3/demns1.htm, + nethelp3.3/demolgd1.htm, nethelp3.3/demopt1.htm, + nethelp3.3/dempot.htm, nethelp3.3/demprgp.htm, + nethelp3.3/demprior.htm, nethelp3.3/demrbf1.htm, + nethelp3.3/demsom1.htm, nethelp3.3/demtrain.htm, + nethelp3.3/dist2.htm, nethelp3.3/eigdec.htm, + nethelp3.3/errbayes.htm, nethelp3.3/evidence.htm, + nethelp3.3/fevbayes.htm, nethelp3.3/gauss.htm, + nethelp3.3/gbayes.htm, nethelp3.3/glm.htm, + nethelp3.3/glmderiv.htm, nethelp3.3/glmerr.htm, + nethelp3.3/glmevfwd.htm, nethelp3.3/glmfwd.htm, + nethelp3.3/glmgrad.htm, nethelp3.3/glmhess.htm, + nethelp3.3/glminit.htm, nethelp3.3/glmpak.htm, + nethelp3.3/glmtrain.htm, nethelp3.3/glmunpak.htm, + nethelp3.3/gmm.htm, nethelp3.3/gmmactiv.htm, + nethelp3.3/gmmem.htm, nethelp3.3/gmminit.htm, + nethelp3.3/gmmpak.htm, nethelp3.3/gmmpost.htm, + nethelp3.3/gmmprob.htm, nethelp3.3/gmmsamp.htm, + nethelp3.3/gmmunpak.htm, nethelp3.3/gp.htm, + nethelp3.3/gpcovar.htm, nethelp3.3/gpcovarf.htm, + nethelp3.3/gpcovarp.htm, nethelp3.3/gperr.htm, + nethelp3.3/gpfwd.htm, nethelp3.3/gpgrad.htm, + nethelp3.3/gpinit.htm, nethelp3.3/gppak.htm, + nethelp3.3/gpunpak.htm, nethelp3.3/gradchek.htm, + nethelp3.3/graddesc.htm, nethelp3.3/gsamp.htm, + nethelp3.3/gtm.htm, nethelp3.3/gtmem.htm, nethelp3.3/gtmfwd.htm, + nethelp3.3/gtminit.htm, nethelp3.3/gtmlmean.htm, + nethelp3.3/gtmlmode.htm, nethelp3.3/gtmmag.htm, + nethelp3.3/gtmpost.htm, nethelp3.3/gtmprob.htm, + nethelp3.3/hbayes.htm, nethelp3.3/hesschek.htm, + nethelp3.3/hintmat.htm, nethelp3.3/hinton.htm, + nethelp3.3/histp.htm, nethelp3.3/hmc.htm, nethelp3.3/index.htm, + nethelp3.3/kmeans.htm, nethelp3.3/knn.htm, nethelp3.3/knnfwd.htm, + nethelp3.3/linef.htm, nethelp3.3/linemin.htm, + nethelp3.3/maxitmess.htm, nethelp3.3/mdn.htm, + nethelp3.3/mdn2gmm.htm, nethelp3.3/mdndist2.htm, + nethelp3.3/mdnerr.htm, nethelp3.3/mdnfwd.htm, + nethelp3.3/mdngrad.htm, nethelp3.3/mdninit.htm, + nethelp3.3/mdnpak.htm, nethelp3.3/mdnpost.htm, + nethelp3.3/mdnprob.htm, nethelp3.3/mdnunpak.htm, + nethelp3.3/metrop.htm, nethelp3.3/minbrack.htm, + nethelp3.3/mlp.htm, nethelp3.3/mlpbkp.htm, + nethelp3.3/mlpderiv.htm, nethelp3.3/mlperr.htm, + nethelp3.3/mlpevfwd.htm, nethelp3.3/mlpfwd.htm, + nethelp3.3/mlpgrad.htm, nethelp3.3/mlphdotv.htm, + nethelp3.3/mlphess.htm, nethelp3.3/mlphint.htm, + nethelp3.3/mlpinit.htm, nethelp3.3/mlppak.htm, + nethelp3.3/mlpprior.htm, nethelp3.3/mlptrain.htm, + nethelp3.3/mlpunpak.htm, nethelp3.3/netderiv.htm, + nethelp3.3/neterr.htm, nethelp3.3/netevfwd.htm, + nethelp3.3/netgrad.htm, nethelp3.3/nethelp3.3.zip, + nethelp3.3/nethess.htm, nethelp3.3/netinit.htm, + nethelp3.3/netopt.htm, nethelp3.3/netpak.htm, + nethelp3.3/netunpak.htm, nethelp3.3/olgd.htm, nethelp3.3/pca.htm, + nethelp3.3/plotmat.htm, nethelp3.3/ppca.htm, + nethelp3.3/quasinew.htm, nethelp3.3/rbf.htm, + nethelp3.3/rbfbkp.htm, nethelp3.3/rbfderiv.htm, + nethelp3.3/rbferr.htm, nethelp3.3/rbfevfwd.htm, + nethelp3.3/rbffwd.htm, nethelp3.3/rbfgrad.htm, + nethelp3.3/rbfhess.htm, nethelp3.3/rbfjacob.htm, + nethelp3.3/rbfpak.htm, nethelp3.3/rbfprior.htm, + nethelp3.3/rbfsetbf.htm, nethelp3.3/rbfsetfw.htm, + nethelp3.3/rbftrain.htm, nethelp3.3/rbfunpak.htm, + nethelp3.3/rosegrad.htm, nethelp3.3/rosen.htm, + nethelp3.3/scg.htm, nethelp3.3/som.htm, nethelp3.3/somfwd.htm, + nethelp3.3/sompak.htm, nethelp3.3/somtrain.htm, + nethelp3.3/somunpak.htm, netlab3.3/Contents.m, netlab3.3/LICENSE, + netlab3.3/conffig.m, netlab3.3/confmat.m, netlab3.3/conjgrad.m, + netlab3.3/consist.m, netlab3.3/convertoldnet.m, + netlab3.3/datread.m, netlab3.3/datwrite.m, netlab3.3/demard.m, + netlab3.3/demev1.m, netlab3.3/demev2.m, netlab3.3/demev3.m, + netlab3.3/demgauss.m, netlab3.3/demglm1.m, netlab3.3/demglm2.m, + netlab3.3/demgmm2.m, netlab3.3/demgmm3.m, netlab3.3/demgmm4.m, + netlab3.3/demgmm5.m, netlab3.3/demgp.m, netlab3.3/demgpard.m, + netlab3.3/demgpot.m, netlab3.3/demgtm1.m, netlab3.3/demgtm2.m, + netlab3.3/demhint.m, netlab3.3/demhmc2.m, netlab3.3/demhmc3.m, + netlab3.3/demkmn1.m, netlab3.3/demknn1.m, netlab3.3/demmdn1.m, + netlab3.3/demmlp1.m, netlab3.3/demmlp2.m, netlab3.3/demnlab.m, + netlab3.3/demns1.m, netlab3.3/demolgd1.m, netlab3.3/demopt1.m, + netlab3.3/dempot.m, netlab3.3/demprgp.m, netlab3.3/demprior.m, + netlab3.3/demrbf1.m, netlab3.3/demsom1.m, netlab3.3/demtrain.m, + netlab3.3/dist2.m, netlab3.3/eigdec.m, netlab3.3/errbayes.m, + netlab3.3/evidence.m, netlab3.3/fevbayes.m, netlab3.3/gauss.m, + netlab3.3/gbayes.m, netlab3.3/glm.m, netlab3.3/glmderiv.m, + netlab3.3/glmerr.m, netlab3.3/glmevfwd.m, netlab3.3/glmfwd.m, + netlab3.3/glmgrad.m, netlab3.3/glmhess.m, netlab3.3/glminit.m, + netlab3.3/glmpak.m, netlab3.3/glmtrain.m, netlab3.3/glmunpak.m, + netlab3.3/gmm.m, netlab3.3/gmmactiv.m, netlab3.3/gmmem.m, + netlab3.3/gmmpak.m, netlab3.3/gmmpost.m, netlab3.3/gmmprob.m, + netlab3.3/gmmsamp.m, netlab3.3/gmmunpak.m, netlab3.3/gp.m, + netlab3.3/gpcovar.m, netlab3.3/gpcovarf.m, netlab3.3/gpcovarp.m, + netlab3.3/gperr.m, netlab3.3/gpfwd.m, netlab3.3/gpgrad.m, + netlab3.3/gpinit.m, netlab3.3/gppak.m, netlab3.3/gpunpak.m, + netlab3.3/gradchek.m, netlab3.3/graddesc.m, netlab3.3/gsamp.m, + netlab3.3/gtm.m, netlab3.3/gtmem.m, netlab3.3/gtmfwd.m, + netlab3.3/gtminit.m, netlab3.3/gtmlmean.m, netlab3.3/gtmlmode.m, + netlab3.3/gtmmag.m, netlab3.3/gtmpost.m, netlab3.3/gtmprob.m, + netlab3.3/hbayes.m, netlab3.3/hesschek.m, netlab3.3/hintmat.m, + netlab3.3/hinton.m, netlab3.3/histp.m, netlab3.3/hmc.m, + netlab3.3/kmeansNetlab.m, netlab3.3/knn.m, netlab3.3/knnfwd.m, + netlab3.3/linef.m, netlab3.3/linemin.m, netlab3.3/maxitmess.m, + netlab3.3/mdn.m, netlab3.3/mdn2gmm.m, netlab3.3/mdndist2.m, + netlab3.3/mdnerr.m, netlab3.3/mdnfwd.m, netlab3.3/mdngrad.m, + netlab3.3/mdninit.m, netlab3.3/mdnnet.mat, netlab3.3/mdnpak.m, + netlab3.3/mdnpost.m, netlab3.3/mdnprob.m, netlab3.3/mdnunpak.m, + netlab3.3/minbrack.m, netlab3.3/mlp.m, netlab3.3/mlpbkp.m, + netlab3.3/mlpderiv.m, netlab3.3/mlperr.m, netlab3.3/mlpevfwd.m, + netlab3.3/mlpfwd.m, netlab3.3/mlpgrad.m, netlab3.3/mlphdotv.m, + netlab3.3/mlphess.m, netlab3.3/mlphint.m, netlab3.3/mlpinit.m, + netlab3.3/mlppak.m, netlab3.3/mlpprior.m, netlab3.3/mlptrain.m, + netlab3.3/mlpunpak.m, netlab3.3/netderiv.m, netlab3.3/neterr.m, + netlab3.3/netevfwd.m, netlab3.3/netgrad.m, netlab3.3/nethess.m, + netlab3.3/netinit.m, netlab3.3/netlab3.3.zip, + netlab3.3/netlogo.mat, netlab3.3/netopt.m, netlab3.3/netpak.m, + netlab3.3/netunpak.m, netlab3.3/oilTrn.dat, netlab3.3/oilTst.dat, + netlab3.3/olgd.m, netlab3.3/pca.m, netlab3.3/plotmat.m, + netlab3.3/ppca.m, netlab3.3/quasinew.m, netlab3.3/rbf.m, + netlab3.3/rbfbkp.m, netlab3.3/rbfderiv.m, netlab3.3/rbferr.m, + netlab3.3/rbfevfwd.m, netlab3.3/rbffwd.m, netlab3.3/rbfgrad.m, + netlab3.3/rbfhess.m, netlab3.3/rbfjacob.m, netlab3.3/rbfpak.m, + netlab3.3/rbfprior.m, netlab3.3/rbfsetbf.m, netlab3.3/rbfsetfw.m, + netlab3.3/rbftrain.m, netlab3.3/rbfunpak.m, netlab3.3/rosegrad.m, + netlab3.3/rosen.m, netlab3.3/scg.m, netlab3.3/som.m, + netlab3.3/somfwd.m, netlab3.3/sompak.m, netlab3.3/somtrain.m, + netlab3.3/somunpak.m, netlab3.3/xor.dat, netlabKPM/README.txt, + netlabKPM/demgmm1_movie.m, netlabKPM/evidence_weighted.m, + netlabKPM/glmerr_weighted.m, netlabKPM/glmgrad_weighted.m, + netlabKPM/glmhess_weighted.m, netlabKPM/glmtrain_weighted.m, + netlabKPM/gmm1.avi, netlabKPM/gmmem2.m, + netlabKPM/gmmem_multi_restart.m, netlabKPM/kmeans_demo.m, + netlabKPM/mlperr_weighted.m, netlabKPM/mlpgrad_weighted.m, + netlabKPM/mlphdotv_weighted.m, netlabKPM/mlphess_weighted.m, + netlabKPM/neterr_weighted.m, netlabKPM/netgrad_weighted.m, + netlabKPM/nethess_weighted.m, netlabKPM/netopt_weighted.m, + netlabKPM/process_options.m: Initial import of code base from + Kevin Murphy. + +2005-04-27 10:58 yozhik + + * KPMtools/mahal2conf.m, nethelp3.3/conffig.htm, + nethelp3.3/confmat.htm, nethelp3.3/conjgrad.htm, + nethelp3.3/consist.htm, nethelp3.3/convertoldnet.htm, + nethelp3.3/datread.htm, nethelp3.3/datwrite.htm, + nethelp3.3/dem2ddat.htm, nethelp3.3/demard.htm, + nethelp3.3/demev1.htm, nethelp3.3/demev2.htm, + nethelp3.3/demev3.htm, nethelp3.3/demgauss.htm, + nethelp3.3/demglm1.htm, nethelp3.3/demglm2.htm, + nethelp3.3/demgmm1.htm, nethelp3.3/demgmm2.htm, + nethelp3.3/demgmm3.htm, nethelp3.3/demgmm4.htm, + nethelp3.3/demgmm5.htm, nethelp3.3/demgp.htm, + nethelp3.3/demgpard.htm, nethelp3.3/demgpot.htm, + nethelp3.3/demgtm1.htm, nethelp3.3/demgtm2.htm, + nethelp3.3/demhint.htm, nethelp3.3/demhmc1.htm, + nethelp3.3/demhmc2.htm, nethelp3.3/demhmc3.htm, + nethelp3.3/demkmn1.htm, nethelp3.3/demknn1.htm, + nethelp3.3/demmdn1.htm, nethelp3.3/demmet1.htm, + nethelp3.3/demmlp1.htm, nethelp3.3/demmlp2.htm, + nethelp3.3/demnlab.htm, nethelp3.3/demns1.htm, + nethelp3.3/demolgd1.htm, nethelp3.3/demopt1.htm, + nethelp3.3/dempot.htm, nethelp3.3/demprgp.htm, + nethelp3.3/demprior.htm, nethelp3.3/demrbf1.htm, + nethelp3.3/demsom1.htm, nethelp3.3/demtrain.htm, + nethelp3.3/dist2.htm, nethelp3.3/eigdec.htm, + nethelp3.3/errbayes.htm, nethelp3.3/evidence.htm, + nethelp3.3/fevbayes.htm, nethelp3.3/gauss.htm, + nethelp3.3/gbayes.htm, nethelp3.3/glm.htm, + nethelp3.3/glmderiv.htm, nethelp3.3/glmerr.htm, + nethelp3.3/glmevfwd.htm, nethelp3.3/glmfwd.htm, + nethelp3.3/glmgrad.htm, nethelp3.3/glmhess.htm, + nethelp3.3/glminit.htm, nethelp3.3/glmpak.htm, + nethelp3.3/glmtrain.htm, nethelp3.3/glmunpak.htm, + nethelp3.3/gmm.htm, nethelp3.3/gmmactiv.htm, + nethelp3.3/gmmem.htm, nethelp3.3/gmminit.htm, + nethelp3.3/gmmpak.htm, nethelp3.3/gmmpost.htm, + nethelp3.3/gmmprob.htm, nethelp3.3/gmmsamp.htm, + nethelp3.3/gmmunpak.htm, nethelp3.3/gp.htm, + nethelp3.3/gpcovar.htm, nethelp3.3/gpcovarf.htm, + nethelp3.3/gpcovarp.htm, nethelp3.3/gperr.htm, + nethelp3.3/gpfwd.htm, nethelp3.3/gpgrad.htm, + nethelp3.3/gpinit.htm, nethelp3.3/gppak.htm, + nethelp3.3/gpunpak.htm, nethelp3.3/gradchek.htm, + nethelp3.3/graddesc.htm, nethelp3.3/gsamp.htm, + nethelp3.3/gtm.htm, nethelp3.3/gtmem.htm, nethelp3.3/gtmfwd.htm, + nethelp3.3/gtminit.htm, nethelp3.3/gtmlmean.htm, + nethelp3.3/gtmlmode.htm, nethelp3.3/gtmmag.htm, + nethelp3.3/gtmpost.htm, nethelp3.3/gtmprob.htm, + nethelp3.3/hbayes.htm, nethelp3.3/hesschek.htm, + nethelp3.3/hintmat.htm, nethelp3.3/hinton.htm, + nethelp3.3/histp.htm, nethelp3.3/hmc.htm, nethelp3.3/index.htm, + nethelp3.3/kmeans.htm, nethelp3.3/knn.htm, nethelp3.3/knnfwd.htm, + nethelp3.3/linef.htm, nethelp3.3/linemin.htm, + nethelp3.3/maxitmess.htm, nethelp3.3/mdn.htm, + nethelp3.3/mdn2gmm.htm, nethelp3.3/mdndist2.htm, + nethelp3.3/mdnerr.htm, nethelp3.3/mdnfwd.htm, + nethelp3.3/mdngrad.htm, nethelp3.3/mdninit.htm, + nethelp3.3/mdnpak.htm, nethelp3.3/mdnpost.htm, + nethelp3.3/mdnprob.htm, nethelp3.3/mdnunpak.htm, + nethelp3.3/metrop.htm, nethelp3.3/minbrack.htm, + nethelp3.3/mlp.htm, nethelp3.3/mlpbkp.htm, + nethelp3.3/mlpderiv.htm, nethelp3.3/mlperr.htm, + nethelp3.3/mlpevfwd.htm, nethelp3.3/mlpfwd.htm, + nethelp3.3/mlpgrad.htm, nethelp3.3/mlphdotv.htm, + nethelp3.3/mlphess.htm, nethelp3.3/mlphint.htm, + nethelp3.3/mlpinit.htm, nethelp3.3/mlppak.htm, + nethelp3.3/mlpprior.htm, nethelp3.3/mlptrain.htm, + nethelp3.3/mlpunpak.htm, nethelp3.3/netderiv.htm, + nethelp3.3/neterr.htm, nethelp3.3/netevfwd.htm, + nethelp3.3/netgrad.htm, nethelp3.3/nethelp3.3.zip, + nethelp3.3/nethess.htm, nethelp3.3/netinit.htm, + nethelp3.3/netopt.htm, nethelp3.3/netpak.htm, + nethelp3.3/netunpak.htm, nethelp3.3/olgd.htm, nethelp3.3/pca.htm, + nethelp3.3/plotmat.htm, nethelp3.3/ppca.htm, + nethelp3.3/quasinew.htm, nethelp3.3/rbf.htm, + nethelp3.3/rbfbkp.htm, nethelp3.3/rbfderiv.htm, + nethelp3.3/rbferr.htm, nethelp3.3/rbfevfwd.htm, + nethelp3.3/rbffwd.htm, nethelp3.3/rbfgrad.htm, + nethelp3.3/rbfhess.htm, nethelp3.3/rbfjacob.htm, + nethelp3.3/rbfpak.htm, nethelp3.3/rbfprior.htm, + nethelp3.3/rbfsetbf.htm, nethelp3.3/rbfsetfw.htm, + nethelp3.3/rbftrain.htm, nethelp3.3/rbfunpak.htm, + nethelp3.3/rosegrad.htm, nethelp3.3/rosen.htm, + nethelp3.3/scg.htm, nethelp3.3/som.htm, nethelp3.3/somfwd.htm, + nethelp3.3/sompak.htm, nethelp3.3/somtrain.htm, + nethelp3.3/somunpak.htm, netlab3.3/Contents.m, netlab3.3/LICENSE, + netlab3.3/conffig.m, netlab3.3/confmat.m, netlab3.3/conjgrad.m, + netlab3.3/consist.m, netlab3.3/convertoldnet.m, + netlab3.3/datread.m, netlab3.3/datwrite.m, netlab3.3/demard.m, + netlab3.3/demev1.m, netlab3.3/demev2.m, netlab3.3/demev3.m, + netlab3.3/demgauss.m, netlab3.3/demglm1.m, netlab3.3/demglm2.m, + netlab3.3/demgmm2.m, netlab3.3/demgmm3.m, netlab3.3/demgmm4.m, + netlab3.3/demgmm5.m, netlab3.3/demgp.m, netlab3.3/demgpard.m, + netlab3.3/demgpot.m, netlab3.3/demgtm1.m, netlab3.3/demgtm2.m, + netlab3.3/demhint.m, netlab3.3/demhmc2.m, netlab3.3/demhmc3.m, + netlab3.3/demkmn1.m, netlab3.3/demknn1.m, netlab3.3/demmdn1.m, + netlab3.3/demmlp1.m, netlab3.3/demmlp2.m, netlab3.3/demnlab.m, + netlab3.3/demns1.m, netlab3.3/demolgd1.m, netlab3.3/demopt1.m, + netlab3.3/dempot.m, netlab3.3/demprgp.m, netlab3.3/demprior.m, + netlab3.3/demrbf1.m, netlab3.3/demsom1.m, netlab3.3/demtrain.m, + netlab3.3/dist2.m, netlab3.3/eigdec.m, netlab3.3/errbayes.m, + netlab3.3/evidence.m, netlab3.3/fevbayes.m, netlab3.3/gauss.m, + netlab3.3/gbayes.m, netlab3.3/glm.m, netlab3.3/glmderiv.m, + netlab3.3/glmerr.m, netlab3.3/glmevfwd.m, netlab3.3/glmfwd.m, + netlab3.3/glmgrad.m, netlab3.3/glmhess.m, netlab3.3/glminit.m, + netlab3.3/glmpak.m, netlab3.3/glmtrain.m, netlab3.3/glmunpak.m, + netlab3.3/gmm.m, netlab3.3/gmmactiv.m, netlab3.3/gmmem.m, + netlab3.3/gmmpak.m, netlab3.3/gmmpost.m, netlab3.3/gmmprob.m, + netlab3.3/gmmsamp.m, netlab3.3/gmmunpak.m, netlab3.3/gp.m, + netlab3.3/gpcovar.m, netlab3.3/gpcovarf.m, netlab3.3/gpcovarp.m, + netlab3.3/gperr.m, netlab3.3/gpfwd.m, netlab3.3/gpgrad.m, + netlab3.3/gpinit.m, netlab3.3/gppak.m, netlab3.3/gpunpak.m, + netlab3.3/gradchek.m, netlab3.3/graddesc.m, netlab3.3/gsamp.m, + netlab3.3/gtm.m, netlab3.3/gtmem.m, netlab3.3/gtmfwd.m, + netlab3.3/gtminit.m, netlab3.3/gtmlmean.m, netlab3.3/gtmlmode.m, + netlab3.3/gtmmag.m, netlab3.3/gtmpost.m, netlab3.3/gtmprob.m, + netlab3.3/hbayes.m, netlab3.3/hesschek.m, netlab3.3/hintmat.m, + netlab3.3/hinton.m, netlab3.3/histp.m, netlab3.3/hmc.m, + netlab3.3/kmeansNetlab.m, netlab3.3/knn.m, netlab3.3/knnfwd.m, + netlab3.3/linef.m, netlab3.3/linemin.m, netlab3.3/maxitmess.m, + netlab3.3/mdn.m, netlab3.3/mdn2gmm.m, netlab3.3/mdndist2.m, + netlab3.3/mdnerr.m, netlab3.3/mdnfwd.m, netlab3.3/mdngrad.m, + netlab3.3/mdninit.m, netlab3.3/mdnnet.mat, netlab3.3/mdnpak.m, + netlab3.3/mdnpost.m, netlab3.3/mdnprob.m, netlab3.3/mdnunpak.m, + netlab3.3/minbrack.m, netlab3.3/mlp.m, netlab3.3/mlpbkp.m, + netlab3.3/mlpderiv.m, netlab3.3/mlperr.m, netlab3.3/mlpevfwd.m, + netlab3.3/mlpfwd.m, netlab3.3/mlpgrad.m, netlab3.3/mlphdotv.m, + netlab3.3/mlphess.m, netlab3.3/mlphint.m, netlab3.3/mlpinit.m, + netlab3.3/mlppak.m, netlab3.3/mlpprior.m, netlab3.3/mlptrain.m, + netlab3.3/mlpunpak.m, netlab3.3/netderiv.m, netlab3.3/neterr.m, + netlab3.3/netevfwd.m, netlab3.3/netgrad.m, netlab3.3/nethess.m, + netlab3.3/netinit.m, netlab3.3/netlab3.3.zip, + netlab3.3/netlogo.mat, netlab3.3/netopt.m, netlab3.3/netpak.m, + netlab3.3/netunpak.m, netlab3.3/oilTrn.dat, netlab3.3/oilTst.dat, + netlab3.3/olgd.m, netlab3.3/pca.m, netlab3.3/plotmat.m, + netlab3.3/ppca.m, netlab3.3/quasinew.m, netlab3.3/rbf.m, + netlab3.3/rbfbkp.m, netlab3.3/rbfderiv.m, netlab3.3/rbferr.m, + netlab3.3/rbfevfwd.m, netlab3.3/rbffwd.m, netlab3.3/rbfgrad.m, + netlab3.3/rbfhess.m, netlab3.3/rbfjacob.m, netlab3.3/rbfpak.m, + netlab3.3/rbfprior.m, netlab3.3/rbfsetbf.m, netlab3.3/rbfsetfw.m, + netlab3.3/rbftrain.m, netlab3.3/rbfunpak.m, netlab3.3/rosegrad.m, + netlab3.3/rosen.m, netlab3.3/scg.m, netlab3.3/som.m, + netlab3.3/somfwd.m, netlab3.3/sompak.m, netlab3.3/somtrain.m, + netlab3.3/somunpak.m, netlab3.3/xor.dat, netlabKPM/README.txt, + netlabKPM/demgmm1_movie.m, netlabKPM/evidence_weighted.m, + netlabKPM/glmerr_weighted.m, netlabKPM/glmgrad_weighted.m, + netlabKPM/glmhess_weighted.m, netlabKPM/glmtrain_weighted.m, + netlabKPM/gmm1.avi, netlabKPM/gmmem2.m, + netlabKPM/gmmem_multi_restart.m, netlabKPM/kmeans_demo.m, + netlabKPM/mlperr_weighted.m, netlabKPM/mlpgrad_weighted.m, + netlabKPM/mlphdotv_weighted.m, netlabKPM/mlphess_weighted.m, + netlabKPM/neterr_weighted.m, netlabKPM/netgrad_weighted.m, + netlabKPM/nethess_weighted.m, netlabKPM/netopt_weighted.m, + netlabKPM/process_options.m: Initial revision + +2005-04-25 19:29 yozhik + + * KPMstats/KLgauss.m, KPMstats/README.txt, KPMstats/beta_sample.m, + KPMstats/chisquared_histo.m, KPMstats/chisquared_prob.m, + KPMstats/chisquared_readme.txt, KPMstats/chisquared_table.m, + KPMstats/clg_Mstep.m, KPMstats/clg_Mstep_simple.m, + KPMstats/clg_prob.m, KPMstats/condGaussToJoint.m, + KPMstats/cond_indep_fisher_z.m, + KPMstats/condgaussTrainObserved.m, KPMstats/condgauss_sample.m, + KPMstats/convertBinaryLabels.m, KPMstats/cwr_demo.m, + KPMstats/cwr_em.m, KPMstats/cwr_predict.m, KPMstats/cwr_prob.m, + KPMstats/cwr_readme.txt, KPMstats/cwr_test.m, + KPMstats/dirichlet_sample.m, KPMstats/distchck.m, + KPMstats/eigdec.m, KPMstats/est_transmat.m, + KPMstats/fit_paritioned_model_testfn.m, + KPMstats/fit_partitioned_model.m, KPMstats/gamma_sample.m, + KPMstats/gaussian_prob.m, KPMstats/gaussian_sample.m, + KPMstats/linear_regression.m, KPMstats/logist2.m, + KPMstats/logist2Apply.m, KPMstats/logist2ApplyRegularized.m, + KPMstats/logist2Fit.m, KPMstats/logist2FitRegularized.m, + KPMstats/logistK.m, KPMstats/logistK_eval.m, + KPMstats/marginalize_gaussian.m, KPMstats/matrix_T_pdf.m, + KPMstats/matrix_normal_pdf.m, KPMstats/mc_stat_distrib.m, + KPMstats/mixgauss_Mstep.m, KPMstats/mixgauss_classifier_apply.m, + KPMstats/mixgauss_classifier_train.m, KPMstats/mixgauss_em.m, + KPMstats/mixgauss_init.m, KPMstats/mixgauss_prob.m, + KPMstats/mixgauss_prob_test.m, KPMstats/mixgauss_sample.m, + KPMstats/mkPolyFvec.m, KPMstats/mk_unit_norm.m, + KPMstats/multinomial_prob.m, KPMstats/multinomial_sample.m, + KPMstats/normal_coef.m, KPMstats/partial_corr_coef.m, + KPMstats/parzen.m, KPMstats/parzenC.c, KPMstats/parzenC.dll, + KPMstats/parzenC.mexglx, KPMstats/parzenC_test.m, + KPMstats/parzen_fit_select_unif.m, KPMstats/pca.m, + KPMstats/rndcheck.m, KPMstats/sample.m, + KPMstats/sample_discrete.m, KPMstats/sample_gaussian.m, + KPMstats/student_t_logprob.m, KPMstats/student_t_prob.m, + KPMstats/unif_discrete_sample.m, KPMstats/weightedRegression.m, + KPMtools/README.txt, KPMtools/approx_unique.m, + KPMtools/approxeq.m, KPMtools/argmax.m, KPMtools/argmin.m, + KPMtools/assert.m, KPMtools/assignEdgeNums.m, + KPMtools/assign_cols.m, KPMtools/axis_pct.m, KPMtools/block.m, + KPMtools/cell2num.m, KPMtools/chi2inv.m, KPMtools/choose.m, + KPMtools/collapse_mog.m, KPMtools/colmult.c, + KPMtools/colmult.mexglx, KPMtools/computeROC.m, + KPMtools/compute_counts.m, KPMtools/conf2mahal.m, + KPMtools/cross_entropy.m, KPMtools/div.m, KPMtools/draw_circle.m, + KPMtools/draw_ellipse.m, KPMtools/draw_ellipse_axes.m, + KPMtools/em_converged.m, KPMtools/entropy.m, + KPMtools/exportfig.m, KPMtools/extend_domain_table.m, + KPMtools/factorial.m, KPMtools/find_equiv_posns.m, + KPMtools/hash_add.m, KPMtools/hash_del.m, KPMtools/hash_lookup.m, + KPMtools/hungarian.m, KPMtools/image_rgb.m, + KPMtools/imresizeAspect.m, KPMtools/ind2subv.c, + KPMtools/ind2subv.m, KPMtools/installC_KPMtools.m, + KPMtools/is_psd.m, KPMtools/is_stochastic.m, + KPMtools/isemptycell.m, KPMtools/isposdef.m, KPMtools/isscalar.m, + KPMtools/isvector.m, KPMtools/junk.c, KPMtools/loadcell.m, + KPMtools/logb.m, KPMtools/logdet.m, KPMtools/logsum.m, + KPMtools/logsum_simple.m, KPMtools/logsum_test.m, + KPMtools/logsumexp.m, KPMtools/logsumexpv.m, + KPMtools/marg_table.m, KPMtools/marginalize_table.m, + KPMtools/matprint.m, KPMtools/max_mult.c, KPMtools/max_mult.m, + KPMtools/mexutil.c, KPMtools/mexutil.h, + KPMtools/mk_multi_index.m, KPMtools/mk_stochastic.m, + KPMtools/mult_by_table.m, KPMtools/myintersect.m, + KPMtools/myismember.m, KPMtools/myones.m, KPMtools/myplot.m, + KPMtools/myrand.m, KPMtools/myrepmat.m, KPMtools/myreshape.m, + KPMtools/mysetdiff.m, KPMtools/mysize.m, KPMtools/mysubset.m, + KPMtools/mysymsetdiff.m, KPMtools/bipartiteMatchingHungarian.m, + KPMtools/myunion.m, KPMtools/nchoose2.m, KPMtools/ncols.m, + KPMtools/nonmaxsup.m, KPMtools/normalise.m, + KPMtools/normaliseC.c, KPMtools/normaliseC.dll, + KPMtools/normalize.m, KPMtools/nrows.m, KPMtools/num2strcell.m, + KPMtools/partitionData.m, KPMtools/partition_matrix_vec.m, + KPMtools/pca_netlab.m, KPMtools/pick.m, KPMtools/plotROC.m, + KPMtools/plotROCkpm.m, KPMtools/plot_axis_thru_origin.m, + KPMtools/plot_ellipse.m, KPMtools/plot_matrix.m, + KPMtools/plot_polygon.m, KPMtools/plotcov2.m, + KPMtools/plotcov3.m, KPMtools/plotgauss1d.m, + KPMtools/plotgauss2d.m, KPMtools/plotgauss2d_old.m, + KPMtools/polygon_area.m, KPMtools/polygon_centroid.m, + KPMtools/polygon_intersect.m, KPMtools/previewfig.m, + KPMtools/process_options.m, KPMtools/rand_psd.m, + KPMtools/rectintC.m, KPMtools/rectintLoopC.mexglx, + KPMtools/rectintSparse.m, KPMtools/rectintSparseC.m, + KPMtools/rectintSparseLoopC.c, KPMtools/rectintSparseLoopC.dll, + KPMtools/repmatC.c, KPMtools/repmatC.dll, + KPMtools/repmatC.mexglx, KPMtools/rgb2grayKPM.m, + KPMtools/rnd_partition.m, KPMtools/rotate_xlabel.m, + KPMtools/safeStr.m, KPMtools/sampleUniformInts.m, + KPMtools/sample_discrete.m, KPMtools/set_xtick_label.m, + KPMtools/set_xtick_label_demo.m, KPMtools/setdiag.m, + KPMtools/softeye.m, KPMtools/sort_evec.m, + KPMtools/splitLongSeqIntoManyShort.m, KPMtools/sprintf_intvec.m, + KPMtools/sqdist.m, KPMtools/strmatch_multi.m, + KPMtools/strmatch_substr.m, KPMtools/subplot2.m, + KPMtools/subplot3.m, KPMtools/subsets.m, KPMtools/subv2ind.c, + KPMtools/subv2ind.m, KPMtools/sumv.m, KPMtools/suptitle.m, + KPMtools/unaryEncoding.m, KPMtools/wrap.m, + KPMtools/xticklabel_rotate90.m, KPMtools/zipload.m, + KPMtools/zipsave.m: Initial import of code base from Kevin + Murphy. + +2005-04-25 19:29 yozhik + + * KPMstats/KLgauss.m, KPMstats/README.txt, KPMstats/beta_sample.m, + KPMstats/chisquared_histo.m, KPMstats/chisquared_prob.m, + KPMstats/chisquared_readme.txt, KPMstats/chisquared_table.m, + KPMstats/clg_Mstep.m, KPMstats/clg_Mstep_simple.m, + KPMstats/clg_prob.m, KPMstats/condGaussToJoint.m, + KPMstats/cond_indep_fisher_z.m, + KPMstats/condgaussTrainObserved.m, KPMstats/condgauss_sample.m, + KPMstats/convertBinaryLabels.m, KPMstats/cwr_demo.m, + KPMstats/cwr_em.m, KPMstats/cwr_predict.m, KPMstats/cwr_prob.m, + KPMstats/cwr_readme.txt, KPMstats/cwr_test.m, + KPMstats/dirichlet_sample.m, KPMstats/distchck.m, + KPMstats/eigdec.m, KPMstats/est_transmat.m, + KPMstats/fit_paritioned_model_testfn.m, + KPMstats/fit_partitioned_model.m, KPMstats/gamma_sample.m, + KPMstats/gaussian_prob.m, KPMstats/gaussian_sample.m, + KPMstats/linear_regression.m, KPMstats/logist2.m, + KPMstats/logist2Apply.m, KPMstats/logist2ApplyRegularized.m, + KPMstats/logist2Fit.m, KPMstats/logist2FitRegularized.m, + KPMstats/logistK.m, KPMstats/logistK_eval.m, + KPMstats/marginalize_gaussian.m, KPMstats/matrix_T_pdf.m, + KPMstats/matrix_normal_pdf.m, KPMstats/mc_stat_distrib.m, + KPMstats/mixgauss_Mstep.m, KPMstats/mixgauss_classifier_apply.m, + KPMstats/mixgauss_classifier_train.m, KPMstats/mixgauss_em.m, + KPMstats/mixgauss_init.m, KPMstats/mixgauss_prob.m, + KPMstats/mixgauss_prob_test.m, KPMstats/mixgauss_sample.m, + KPMstats/mkPolyFvec.m, KPMstats/mk_unit_norm.m, + KPMstats/multinomial_prob.m, KPMstats/multinomial_sample.m, + KPMstats/normal_coef.m, KPMstats/partial_corr_coef.m, + KPMstats/parzen.m, KPMstats/parzenC.c, KPMstats/parzenC.dll, + KPMstats/parzenC.mexglx, KPMstats/parzenC_test.m, + KPMstats/parzen_fit_select_unif.m, KPMstats/pca.m, + KPMstats/rndcheck.m, KPMstats/sample.m, + KPMstats/sample_discrete.m, KPMstats/sample_gaussian.m, + KPMstats/student_t_logprob.m, KPMstats/student_t_prob.m, + KPMstats/unif_discrete_sample.m, KPMstats/weightedRegression.m, + KPMtools/README.txt, KPMtools/approx_unique.m, + KPMtools/approxeq.m, KPMtools/argmax.m, KPMtools/argmin.m, + KPMtools/assert.m, KPMtools/assignEdgeNums.m, + KPMtools/assign_cols.m, KPMtools/axis_pct.m, KPMtools/block.m, + KPMtools/cell2num.m, KPMtools/chi2inv.m, KPMtools/choose.m, + KPMtools/collapse_mog.m, KPMtools/colmult.c, + KPMtools/colmult.mexglx, KPMtools/computeROC.m, + KPMtools/compute_counts.m, KPMtools/conf2mahal.m, + KPMtools/cross_entropy.m, KPMtools/div.m, KPMtools/draw_circle.m, + KPMtools/draw_ellipse.m, KPMtools/draw_ellipse_axes.m, + KPMtools/em_converged.m, KPMtools/entropy.m, + KPMtools/exportfig.m, KPMtools/extend_domain_table.m, + KPMtools/factorial.m, KPMtools/find_equiv_posns.m, + KPMtools/hash_add.m, KPMtools/hash_del.m, KPMtools/hash_lookup.m, + KPMtools/hungarian.m, KPMtools/image_rgb.m, + KPMtools/imresizeAspect.m, KPMtools/ind2subv.c, + KPMtools/ind2subv.m, KPMtools/installC_KPMtools.m, + KPMtools/is_psd.m, KPMtools/is_stochastic.m, + KPMtools/isemptycell.m, KPMtools/isposdef.m, KPMtools/isscalar.m, + KPMtools/isvector.m, KPMtools/junk.c, KPMtools/loadcell.m, + KPMtools/logb.m, KPMtools/logdet.m, KPMtools/logsum.m, + KPMtools/logsum_simple.m, KPMtools/logsum_test.m, + KPMtools/logsumexp.m, KPMtools/logsumexpv.m, + KPMtools/marg_table.m, KPMtools/marginalize_table.m, + KPMtools/matprint.m, KPMtools/max_mult.c, KPMtools/max_mult.m, + KPMtools/mexutil.c, KPMtools/mexutil.h, + KPMtools/mk_multi_index.m, KPMtools/mk_stochastic.m, + KPMtools/mult_by_table.m, KPMtools/myintersect.m, + KPMtools/myismember.m, KPMtools/myones.m, KPMtools/myplot.m, + KPMtools/myrand.m, KPMtools/myrepmat.m, KPMtools/myreshape.m, + KPMtools/mysetdiff.m, KPMtools/mysize.m, KPMtools/mysubset.m, + KPMtools/mysymsetdiff.m, KPMtools/bipartiteMatchingHungarian.m, + KPMtools/myunion.m, KPMtools/nchoose2.m, KPMtools/ncols.m, + KPMtools/nonmaxsup.m, KPMtools/normalise.m, + KPMtools/normaliseC.c, KPMtools/normaliseC.dll, + KPMtools/normalize.m, KPMtools/nrows.m, KPMtools/num2strcell.m, + KPMtools/partitionData.m, KPMtools/partition_matrix_vec.m, + KPMtools/pca_netlab.m, KPMtools/pick.m, KPMtools/plotROC.m, + KPMtools/plotROCkpm.m, KPMtools/plot_axis_thru_origin.m, + KPMtools/plot_ellipse.m, KPMtools/plot_matrix.m, + KPMtools/plot_polygon.m, KPMtools/plotcov2.m, + KPMtools/plotcov3.m, KPMtools/plotgauss1d.m, + KPMtools/plotgauss2d.m, KPMtools/plotgauss2d_old.m, + KPMtools/polygon_area.m, KPMtools/polygon_centroid.m, + KPMtools/polygon_intersect.m, KPMtools/previewfig.m, + KPMtools/process_options.m, KPMtools/rand_psd.m, + KPMtools/rectintC.m, KPMtools/rectintLoopC.mexglx, + KPMtools/rectintSparse.m, KPMtools/rectintSparseC.m, + KPMtools/rectintSparseLoopC.c, KPMtools/rectintSparseLoopC.dll, + KPMtools/repmatC.c, KPMtools/repmatC.dll, + KPMtools/repmatC.mexglx, KPMtools/rgb2grayKPM.m, + KPMtools/rnd_partition.m, KPMtools/rotate_xlabel.m, + KPMtools/safeStr.m, KPMtools/sampleUniformInts.m, + KPMtools/sample_discrete.m, KPMtools/set_xtick_label.m, + KPMtools/set_xtick_label_demo.m, KPMtools/setdiag.m, + KPMtools/softeye.m, KPMtools/sort_evec.m, + KPMtools/splitLongSeqIntoManyShort.m, KPMtools/sprintf_intvec.m, + KPMtools/sqdist.m, KPMtools/strmatch_multi.m, + KPMtools/strmatch_substr.m, KPMtools/subplot2.m, + KPMtools/subplot3.m, KPMtools/subsets.m, KPMtools/subv2ind.c, + KPMtools/subv2ind.m, KPMtools/sumv.m, KPMtools/suptitle.m, + KPMtools/unaryEncoding.m, KPMtools/wrap.m, + KPMtools/xticklabel_rotate90.m, KPMtools/zipload.m, + KPMtools/zipsave.m: Initial revision + +2005-04-03 18:39 yozhik + + * BNT/learning/score_dags.m: Initial import of code base from Kevin + Murphy. + +2005-04-03 18:39 yozhik + + * BNT/learning/score_dags.m: Initial revision + +2005-03-31 11:20 yozhik + + * BNT/installC_BNT.m: Initial import of code base from Kevin + Murphy. + +2005-03-31 11:20 yozhik + + * BNT/installC_BNT.m: Initial revision + +2005-03-30 11:59 yozhik + + * KPMtools/asdemo.html: Initial import of code base from Kevin + Murphy. + +2005-03-30 11:59 yozhik + + * KPMtools/asdemo.html: Initial revision + +2005-03-26 18:51 yozhik + + * KPMtools/asdemo.m: Initial import of code base from Kevin Murphy. + +2005-03-26 18:51 yozhik + + * KPMtools/asdemo.m: Initial revision + +2005-01-15 18:27 yozhik + + * BNT/CPDs/@tabular_CPD/: get_field.m, set_fields.m, tabular_CPD.m: + Initial import of code base from Kevin Murphy. + +2005-01-15 18:27 yozhik + + * BNT/CPDs/@tabular_CPD/: get_field.m, set_fields.m, tabular_CPD.m: + Initial revision + +2004-11-24 12:12 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/junk: Initial import of + code base from Kevin Murphy. + +2004-11-24 12:12 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/junk: Initial revision + +2004-11-22 14:41 yozhik + + * BNT/examples/dynamic/orig_water1.m: Initial import of code base + from Kevin Murphy. + +2004-11-22 14:41 yozhik + + * BNT/examples/dynamic/orig_water1.m: Initial revision + +2004-11-22 14:15 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/cbk_inf_engine.m: Initial + import of code base from Kevin Murphy. + +2004-11-22 14:15 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/cbk_inf_engine.m: Initial + revision + +2004-11-06 13:52 yozhik + + * BNT/examples/static/StructLearn/model_select2.m: Initial import + of code base from Kevin Murphy. + +2004-11-06 13:52 yozhik + + * BNT/examples/static/StructLearn/model_select2.m: Initial revision + +2004-11-06 12:55 yozhik + + * BNT/examples/static/StructLearn/model_select1.m: Initial import + of code base from Kevin Murphy. + +2004-11-06 12:55 yozhik + + * BNT/examples/static/StructLearn/model_select1.m: Initial revision + +2004-10-22 18:18 yozhik + + * HMM/viterbi_path.m: Initial import of code base from Kevin + Murphy. + +2004-10-22 18:18 yozhik + + * HMM/viterbi_path.m: Initial revision + +2004-09-29 20:09 yozhik + + * BNT/inference/static/@var_elim_inf_engine/marginal_nodes.m: + Initial import of code base from Kevin Murphy. + +2004-09-29 20:09 yozhik + + * BNT/inference/static/@var_elim_inf_engine/marginal_nodes.m: + Initial revision + +2004-09-12 20:21 yozhik + + * BNT/examples/limids/amnio.m: Initial import of code base from + Kevin Murphy. + +2004-09-12 20:21 yozhik + + * BNT/examples/limids/amnio.m: Initial revision + +2004-09-12 19:27 yozhik + + * BNT/examples/limids/oil1.m: Initial import of code base from + Kevin Murphy. + +2004-09-12 19:27 yozhik + + * BNT/examples/limids/oil1.m: Initial revision + +2004-09-12 14:01 yozhik + + * BNT/examples/static/sprinkler1.m: Initial import of code base + from Kevin Murphy. + +2004-09-12 14:01 yozhik + + * BNT/examples/static/sprinkler1.m: Initial revision + +2004-08-29 05:41 yozhik + + * HMM/transmat_train_observed.m: Initial import of code base from + Kevin Murphy. + +2004-08-29 05:41 yozhik + + * HMM/transmat_train_observed.m: Initial revision + +2004-08-05 08:25 yozhik + + * BNT/potentials/: @dpot/divide_by_pot.m, Tables/divide_by_table.m: + Initial import of code base from Kevin Murphy. + +2004-08-05 08:25 yozhik + + * BNT/potentials/: @dpot/divide_by_pot.m, Tables/divide_by_table.m: + Initial revision + +2004-08-04 12:59 yozhik + + * BNT/potentials/@dpot/: marginalize_pot.m, multiply_by_pot.m: + Initial import of code base from Kevin Murphy. + +2004-08-04 12:59 yozhik + + * BNT/potentials/@dpot/: marginalize_pot.m, multiply_by_pot.m: + Initial revision + +2004-08-04 12:36 yozhik + + * BNT/@assocarray/subsref.m: Initial import of code base from Kevin + Murphy. + +2004-08-04 12:36 yozhik + + * BNT/@assocarray/subsref.m: Initial revision + +2004-08-04 08:54 yozhik + + * BNT/potentials/@dpot/normalize_pot.m: Initial import of code base + from Kevin Murphy. + +2004-08-04 08:54 yozhik + + * BNT/potentials/@dpot/normalize_pot.m: Initial revision + +2004-08-04 08:51 yozhik + + * BNT/potentials/Tables/: marg_table.m, mult_by_table.m, + extend_domain_table.m: Initial import of code base from Kevin + Murphy. + +2004-08-04 08:51 yozhik + + * BNT/potentials/Tables/: marg_table.m, mult_by_table.m, + extend_domain_table.m: Initial revision + +2004-08-02 15:23 yozhik + + * BNT/CPDs/@noisyor_CPD/CPD_to_CPT.m: Initial import of code base + from Kevin Murphy. + +2004-08-02 15:23 yozhik + + * BNT/CPDs/@noisyor_CPD/CPD_to_CPT.m: Initial revision + +2004-08-02 15:05 yozhik + + * BNT/general/noisyORtoTable.m: Initial import of code base from + Kevin Murphy. + +2004-08-02 15:05 yozhik + + * BNT/general/noisyORtoTable.m: Initial revision + +2004-06-29 10:46 yozhik + + * BNT/learning/learn_struct_pdag_pc.m: Initial import of code base + from Kevin Murphy. + +2004-06-29 10:46 yozhik + + * BNT/learning/learn_struct_pdag_pc.m: Initial revision + +2004-06-15 10:50 yozhik + + * GraphViz/graph_to_dot.m: Initial import of code base from Kevin + Murphy. + +2004-06-15 10:50 yozhik + + * GraphViz/graph_to_dot.m: Initial revision + +2004-06-11 14:16 yozhik + + * BNT/CPDs/@tabular_CPD/log_marg_prob_node.m: Initial import of + code base from Kevin Murphy. + +2004-06-11 14:16 yozhik + + * BNT/CPDs/@tabular_CPD/log_marg_prob_node.m: Initial revision + +2004-06-09 18:56 yozhik + + * BNT/README.txt: Initial import of code base from Kevin Murphy. + +2004-06-09 18:56 yozhik + + * BNT/README.txt: Initial revision + +2004-06-09 18:53 yozhik + + * BNT/CPDs/@generic_CPD/learn_params.m: Initial import of code base + from Kevin Murphy. + +2004-06-09 18:53 yozhik + + * BNT/CPDs/@generic_CPD/learn_params.m: Initial revision + +2004-06-09 18:42 yozhik + + * BNT/examples/static/nodeorderExample.m: Initial import of code + base from Kevin Murphy. + +2004-06-09 18:42 yozhik + + * BNT/examples/static/nodeorderExample.m: Initial revision + +2004-06-09 18:33 yozhik + + * BNT/: learning/score_family.m, test_BNT.m: Initial import of code + base from Kevin Murphy. + +2004-06-09 18:33 yozhik + + * BNT/: learning/score_family.m, test_BNT.m: Initial revision + +2004-06-09 18:28 yozhik + + * BNT/: learning/learn_params.m, CPDs/@gaussian_CPD/learn_params.m, + examples/static/gaussian2.m: Initial import of code base from + Kevin Murphy. + +2004-06-09 18:28 yozhik + + * BNT/: learning/learn_params.m, CPDs/@gaussian_CPD/learn_params.m, + examples/static/gaussian2.m: Initial revision + +2004-06-09 18:25 yozhik + + * BNT/CPDs/@tabular_CPD/learn_params.m: Initial import of code base + from Kevin Murphy. + +2004-06-09 18:25 yozhik + + * BNT/CPDs/@tabular_CPD/learn_params.m: Initial revision + +2004-06-09 18:17 yozhik + + * BNT/general/sample_bnet.m: Initial import of code base from Kevin + Murphy. + +2004-06-09 18:17 yozhik + + * BNT/general/sample_bnet.m: Initial revision + +2004-06-07 12:45 yozhik + + * BNT/examples/static/discrete1.m: Initial import of code base from + Kevin Murphy. + +2004-06-07 12:45 yozhik + + * BNT/examples/static/discrete1.m: Initial revision + +2004-06-07 12:04 yozhik + + * BNT/: inference/static/@global_joint_inf_engine/marginal_nodes.m, + inference/static/@global_joint_inf_engine/enter_evidence.m, + examples/dynamic/mk_bat_dbn.m: Initial import of code base from + Kevin Murphy. + +2004-06-07 12:04 yozhik + + * BNT/: inference/static/@global_joint_inf_engine/marginal_nodes.m, + inference/static/@global_joint_inf_engine/enter_evidence.m, + examples/dynamic/mk_bat_dbn.m: Initial revision + +2004-06-07 08:53 yozhik + + * BNT/examples/limids/asia_dt1.m: Initial import of code base from + Kevin Murphy. + +2004-06-07 08:53 yozhik + + * BNT/examples/limids/asia_dt1.m: Initial revision + +2004-06-07 08:48 yozhik + + * BNT/general/: solve_limid.m, compute_joint_pot.m: Initial import + of code base from Kevin Murphy. + +2004-06-07 08:48 yozhik + + * BNT/general/: solve_limid.m, compute_joint_pot.m: Initial + revision + +2004-06-07 07:39 yozhik + + * Kalman/README.txt: Initial import of code base from Kevin Murphy. + +2004-06-07 07:39 yozhik + + * Kalman/README.txt: Initial revision + +2004-06-07 07:33 yozhik + + * GraphViz/README.txt: Initial import of code base from Kevin + Murphy. + +2004-06-07 07:33 yozhik + + * GraphViz/README.txt: Initial revision + +2004-05-31 15:19 yozhik + + * HMM/dhmm_sample.m: Initial import of code base from Kevin Murphy. + +2004-05-31 15:19 yozhik + + * HMM/dhmm_sample.m: Initial revision + +2004-05-25 17:32 yozhik + + * HMM/mhmm_sample.m: Initial import of code base from Kevin Murphy. + +2004-05-25 17:32 yozhik + + * HMM/mhmm_sample.m: Initial revision + +2004-05-24 15:26 yozhik + + * HMM/mc_sample.m: Initial import of code base from Kevin Murphy. + +2004-05-24 15:26 yozhik + + * HMM/mc_sample.m: Initial revision + +2004-05-18 07:50 yozhik + + * BNT/installC_graph.m: Initial import of code base from Kevin + Murphy. + +2004-05-18 07:50 yozhik + + * BNT/installC_graph.m: Initial revision + +2004-05-13 18:13 yozhik + + * BNT/inference/static/@gaussian_inf_engine/gaussian_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2004-05-13 18:13 yozhik + + * BNT/inference/static/@gaussian_inf_engine/gaussian_inf_engine.m: + Initial revision + +2004-05-11 12:23 yozhik + + * BNT/examples/dynamic/mk_chmm.m: Initial import of code base from + Kevin Murphy. + +2004-05-11 12:23 yozhik + + * BNT/examples/dynamic/mk_chmm.m: Initial revision + +2004-05-11 11:45 yozhik + + * BNT/examples/dynamic/mk_water_dbn.m: Initial import of code base + from Kevin Murphy. + +2004-05-11 11:45 yozhik + + * BNT/examples/dynamic/mk_water_dbn.m: Initial revision + +2004-05-05 06:32 yozhik + + * GraphViz/draw_dot.m: Initial import of code base from Kevin + Murphy. + +2004-05-05 06:32 yozhik + + * GraphViz/draw_dot.m: Initial revision + +2004-03-30 09:18 yozhik + + * BNT/: general/mk_named_CPT.m, + CPDs/@softmax_CPD/convert_to_table.m: Initial import of code base + from Kevin Murphy. + +2004-03-30 09:18 yozhik + + * BNT/: general/mk_named_CPT.m, + CPDs/@softmax_CPD/convert_to_table.m: Initial revision + +2004-03-22 14:32 yozhik + + * GraphViz/draw_graph.m: Initial import of code base from Kevin + Murphy. + +2004-03-22 14:32 yozhik + + * GraphViz/draw_graph.m: Initial revision + +2004-03-12 15:21 yozhik + + * GraphViz/dot_to_graph.m: Initial import of code base from Kevin + Murphy. + +2004-03-12 15:21 yozhik + + * GraphViz/dot_to_graph.m: Initial revision + +2004-03-04 14:34 yozhik + + * BNT/examples/static/burglary.m: Initial import of code base from + Kevin Murphy. + +2004-03-04 14:34 yozhik + + * BNT/examples/static/burglary.m: Initial revision + +2004-03-04 14:27 yozhik + + * BNT/examples/static/burglar-alarm-net.lisp.txt: Initial import of + code base from Kevin Murphy. + +2004-03-04 14:27 yozhik + + * BNT/examples/static/burglar-alarm-net.lisp.txt: Initial revision + +2004-02-28 09:25 yozhik + + * BNT/examples/static/learn1.m: Initial import of code base from + Kevin Murphy. + +2004-02-28 09:25 yozhik + + * BNT/examples/static/learn1.m: Initial revision + +2004-02-22 11:43 yozhik + + * BNT/examples/static/brainy.m: Initial import of code base from + Kevin Murphy. + +2004-02-22 11:43 yozhik + + * BNT/examples/static/brainy.m: Initial revision + +2004-02-20 14:00 yozhik + + * BNT/CPDs/@discrete_CPD/convert_to_pot.m: Initial import of code + base from Kevin Murphy. + +2004-02-20 14:00 yozhik + + * BNT/CPDs/@discrete_CPD/convert_to_pot.m: Initial revision + +2004-02-18 17:12 yozhik + + * + BNT/inference/dynamic/@jtree_dbn_inf_engine/enter_soft_evidence.m: + Initial import of code base from Kevin Murphy. + +2004-02-18 17:12 yozhik + + * + BNT/inference/dynamic/@jtree_dbn_inf_engine/enter_soft_evidence.m: + Initial revision + +2004-02-13 18:06 yozhik + + * HMM/mhmmParzen_train_observed.m: Initial import of code base from + Kevin Murphy. + +2004-02-13 18:06 yozhik + + * HMM/mhmmParzen_train_observed.m: Initial revision + +2004-02-12 15:08 yozhik + + * HMM/gausshmm_train_observed.m: Initial import of code base from + Kevin Murphy. + +2004-02-12 15:08 yozhik + + * HMM/gausshmm_train_observed.m: Initial revision + +2004-02-12 04:57 yozhik + + * BNT/examples/static/HME/hmemenu.m: Initial import of code base + from Kevin Murphy. + +2004-02-12 04:57 yozhik + + * BNT/examples/static/HME/hmemenu.m: Initial revision + +2004-02-07 20:52 yozhik + + * HMM/mhmm_em.m: Initial import of code base from Kevin Murphy. + +2004-02-07 20:52 yozhik + + * HMM/mhmm_em.m: Initial revision + +2004-02-04 15:53 yozhik + + * BNT/examples/dynamic/mk_orig_bat_dbn.m: Initial import of code + base from Kevin Murphy. + +2004-02-04 15:53 yozhik + + * BNT/examples/dynamic/mk_orig_bat_dbn.m: Initial revision + +2004-02-03 23:42 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/enter_soft_evidence.m: + Initial import of code base from Kevin Murphy. + +2004-02-03 23:42 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/enter_soft_evidence.m: + Initial revision + +2004-02-03 09:15 yozhik + + * GraphViz/Old/graphToDot.m: Initial import of code base from Kevin + Murphy. + +2004-02-03 09:15 yozhik + + * GraphViz/Old/graphToDot.m: Initial revision + +2004-01-30 18:57 yozhik + + * BNT/examples/dynamic/mk_orig_water_dbn.m: Initial import of code + base from Kevin Murphy. + +2004-01-30 18:57 yozhik + + * BNT/examples/dynamic/mk_orig_water_dbn.m: Initial revision + +2004-01-27 13:08 yozhik + + * GraphViz/: my_call.m, editGraphGUI.m: Initial import of code base + from Kevin Murphy. + +2004-01-27 13:08 yozhik + + * GraphViz/: my_call.m, editGraphGUI.m: Initial revision + +2004-01-27 13:01 yozhik + + * GraphViz/Old/: dot_to_graph.m, draw_graph.m: Initial import of + code base from Kevin Murphy. + +2004-01-27 13:01 yozhik + + * GraphViz/Old/: dot_to_graph.m, draw_graph.m: Initial revision + +2004-01-27 12:47 yozhik + + * GraphViz/Old/pre_pesha_graph_to_dot.m: Initial import of code + base from Kevin Murphy. + +2004-01-27 12:47 yozhik + + * GraphViz/Old/pre_pesha_graph_to_dot.m: Initial revision + +2004-01-27 12:42 yozhik + + * GraphViz/Old/draw_dot.m: Initial import of code base from Kevin + Murphy. + +2004-01-27 12:42 yozhik + + * GraphViz/Old/draw_dot.m: Initial revision + +2004-01-14 17:06 yozhik + + * BNT/examples/static/Models/mk_hmm_bnet.m: Initial import of code + base from Kevin Murphy. + +2004-01-14 17:06 yozhik + + * BNT/examples/static/Models/mk_hmm_bnet.m: Initial revision + +2004-01-12 12:53 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/enter_evidence.m: Initial + import of code base from Kevin Murphy. + +2004-01-12 12:53 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/enter_evidence.m: Initial + revision + +2004-01-04 17:23 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/bp_mrf2.m: Initial + import of code base from Kevin Murphy. + +2004-01-04 17:23 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/bp_mrf2.m: Initial + revision + +2003-12-15 22:17 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/marginal_nodes.m: Initial + import of code base from Kevin Murphy. + +2003-12-15 22:17 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/marginal_nodes.m: Initial + revision + +2003-10-31 14:37 yozhik + + * BNT/inference/static/@jtree_inf_engine/jtree_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2003-10-31 14:37 yozhik + + * BNT/inference/static/@jtree_inf_engine/jtree_inf_engine.m: + Initial revision + +2003-09-05 07:06 yozhik + + * BNT/learning/learn_struct_mcmc.m: Initial import of code base + from Kevin Murphy. + +2003-09-05 07:06 yozhik + + * BNT/learning/learn_struct_mcmc.m: Initial revision + +2003-08-18 14:50 yozhik + + * BNT/learning/learn_params_dbn_em.m: Initial import of code base + from Kevin Murphy. + +2003-08-18 14:50 yozhik + + * BNT/learning/learn_params_dbn_em.m: Initial revision + +2003-07-30 06:37 yozhik + + * BNT/potentials/: @mpot/set_domain_pot.m, + @cgpot/Old/set_domain_pot.m, @cgpot/set_domain_pot.m: Initial + import of code base from Kevin Murphy. + +2003-07-30 06:37 yozhik + + * BNT/potentials/: @mpot/set_domain_pot.m, + @cgpot/Old/set_domain_pot.m, @cgpot/set_domain_pot.m: Initial + revision + +2003-07-28 19:44 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/: dbn_init_bel.m, + dbn_marginal_from_bel.m, dbn_update_bel.m, dbn_update_bel1.m, + marginal_family.m, update_engine.m: Initial import of code base + from Kevin Murphy. + +2003-07-28 19:44 yozhik + + * BNT/inference/dynamic/@cbk_inf_engine/: dbn_init_bel.m, + dbn_marginal_from_bel.m, dbn_update_bel.m, dbn_update_bel1.m, + marginal_family.m, update_engine.m: Initial revision + +2003-07-28 15:44 yozhik + + * GraphViz/: approxeq.m, process_options.m: Initial import of code + base from Kevin Murphy. + +2003-07-28 15:44 yozhik + + * GraphViz/: approxeq.m, process_options.m: Initial revision + +2003-07-24 06:41 yozhik + + * BNT/CPDs/@hhmmQ_CPD/update_ess.m: Initial import of code base + from Kevin Murphy. + +2003-07-24 06:41 yozhik + + * BNT/CPDs/@hhmmQ_CPD/update_ess.m: Initial revision + +2003-07-22 15:55 yozhik + + * BNT/CPDs/@gaussian_CPD/update_ess.m: Initial import of code base + from Kevin Murphy. + +2003-07-22 15:55 yozhik + + * BNT/CPDs/@gaussian_CPD/update_ess.m: Initial revision + +2003-07-06 13:57 yozhik + + * BNT/inference/static/@pearl_inf_engine/bethe_free_energy.m: + Initial import of code base from Kevin Murphy. + +2003-07-06 13:57 yozhik + + * BNT/inference/static/@pearl_inf_engine/bethe_free_energy.m: + Initial revision + +2003-05-21 06:49 yozhik + + * BNT/potentials/@scgpot/: complement_pot.m, normalize_pot.m, + recursive_combine_pots.m: Initial import of code base from Kevin + Murphy. + +2003-05-21 06:49 yozhik + + * BNT/potentials/@scgpot/: complement_pot.m, normalize_pot.m, + recursive_combine_pots.m: Initial revision + +2003-05-20 07:10 yozhik + + * BNT/CPDs/@gaussian_CPD/maximize_params.m: Initial import of code + base from Kevin Murphy. + +2003-05-20 07:10 yozhik + + * BNT/CPDs/@gaussian_CPD/maximize_params.m: Initial revision + +2003-05-13 09:11 yozhik + + * HMM/mhmm_em_demo.m: Initial import of code base from Kevin + Murphy. + +2003-05-13 09:11 yozhik + + * HMM/mhmm_em_demo.m: Initial revision + +2003-05-13 07:35 yozhik + + * BNT/examples/dynamic/viterbi1.m: Initial import of code base from + Kevin Murphy. + +2003-05-13 07:35 yozhik + + * BNT/examples/dynamic/viterbi1.m: Initial revision + +2003-05-11 16:31 yozhik + + * BNT/CPDs/@gaussian_CPD/convert_to_table.m: Initial import of code + base from Kevin Murphy. + +2003-05-11 16:31 yozhik + + * BNT/CPDs/@gaussian_CPD/convert_to_table.m: Initial revision + +2003-05-11 16:13 yozhik + + * BNT/CPDs/@gaussian_CPD/gaussian_CPD_params_given_dps.m: Initial + import of code base from Kevin Murphy. + +2003-05-11 16:13 yozhik + + * BNT/CPDs/@gaussian_CPD/gaussian_CPD_params_given_dps.m: Initial + revision + +2003-05-11 08:39 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/README: Initial + import of code base from Kevin Murphy. + +2003-05-11 08:39 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/README: Initial + revision + +2003-05-04 15:31 yozhik + + * BNT/uninstallC_BNT.m: Initial import of code base from Kevin + Murphy. + +2003-05-04 15:31 yozhik + + * BNT/uninstallC_BNT.m: Initial revision + +2003-05-04 15:23 yozhik + + * BNT/examples/dynamic/: dhmm1.m, ghmm1.m, mhmm1.m: Initial import + of code base from Kevin Murphy. + +2003-05-04 15:23 yozhik + + * BNT/examples/dynamic/: dhmm1.m, ghmm1.m, mhmm1.m: Initial + revision + +2003-05-04 15:11 yozhik + + * HMM/mhmm_logprob.m: Initial import of code base from Kevin + Murphy. + +2003-05-04 15:11 yozhik + + * HMM/mhmm_logprob.m: Initial revision + +2003-05-04 15:01 yozhik + + * HMM/: dhmm_logprob.m, dhmm_em_online.m, dhmm_em_online_demo.m: + Initial import of code base from Kevin Murphy. + +2003-05-04 15:01 yozhik + + * HMM/: dhmm_logprob.m, dhmm_em_online.m, dhmm_em_online_demo.m: + Initial revision + +2003-05-04 14:58 yozhik + + * HMM/: pomdp_sample.m, dhmm_sample_endstate.m, dhmm_em_demo.m: + Initial import of code base from Kevin Murphy. + +2003-05-04 14:58 yozhik + + * HMM/: pomdp_sample.m, dhmm_sample_endstate.m, dhmm_em_demo.m: + Initial revision + +2003-05-04 14:47 yozhik + + * + BNT/inference/online/@hmm_2TBN_inf_engine/private/mk_hmm_obs_lik_vec.m: + Initial import of code base from Kevin Murphy. + +2003-05-04 14:47 yozhik + + * + BNT/inference/online/@hmm_2TBN_inf_engine/private/mk_hmm_obs_lik_vec.m: + Initial revision + +2003-05-04 14:42 yozhik + + * + BNT/inference/dynamic/@hmm_inf_engine/private/mk_hmm_obs_lik_matrix.m: + Initial import of code base from Kevin Murphy. + +2003-05-04 14:42 yozhik + + * + BNT/inference/dynamic/@hmm_inf_engine/private/mk_hmm_obs_lik_matrix.m: + Initial revision + +2003-04-22 14:00 yozhik + + * BNT/CPDs/@tabular_CPD/display.m: Initial import of code base from + Kevin Murphy. + +2003-04-22 14:00 yozhik + + * BNT/CPDs/@tabular_CPD/display.m: Initial revision + +2003-03-28 09:22 yozhik + + * BNT/examples/dynamic/ho1.m: Initial import of code base from + Kevin Murphy. + +2003-03-28 09:22 yozhik + + * BNT/examples/dynamic/ho1.m: Initial revision + +2003-03-28 09:12 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/stab_cond_gauss_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2003-03-28 09:12 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/stab_cond_gauss_inf_engine.m: + Initial revision + +2003-03-28 08:35 yozhik + + * GraphViz/arrow.m: Initial import of code base from Kevin Murphy. + +2003-03-28 08:35 yozhik + + * GraphViz/arrow.m: Initial revision + +2003-03-25 16:06 yozhik + + * BNT/examples/static/Models/mk_asia_bnet.m: Initial import of code + base from Kevin Murphy. + +2003-03-25 16:06 yozhik + + * BNT/examples/static/Models/mk_asia_bnet.m: Initial revision + +2003-03-20 07:07 yozhik + + * BNT/potentials/@scgpot/README: Initial import of code base from + Kevin Murphy. + +2003-03-20 07:07 yozhik + + * BNT/potentials/@scgpot/README: Initial revision + +2003-03-14 01:45 yozhik + + * + BNT/inference/dynamic/@stable_ho_inf_engine/stable_ho_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2003-03-14 01:45 yozhik + + * + BNT/inference/dynamic/@stable_ho_inf_engine/stable_ho_inf_engine.m: + Initial revision + +2003-03-12 02:38 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/enter_evidence.m: + Initial import of code base from Kevin Murphy. + +2003-03-12 02:38 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/enter_evidence.m: + Initial revision + +2003-03-11 10:07 yozhik + + * BNT/potentials/@scgpot/reduce_pot.m: Initial import of code base + from Kevin Murphy. + +2003-03-11 10:07 yozhik + + * BNT/potentials/@scgpot/reduce_pot.m: Initial revision + +2003-03-11 09:49 yozhik + + * BNT/potentials/@scgpot/combine_pots.m: Initial import of code + base from Kevin Murphy. + +2003-03-11 09:49 yozhik + + * BNT/potentials/@scgpot/combine_pots.m: Initial revision + +2003-03-11 09:37 yozhik + + * BNT/potentials/@scgcpot/reduce_pot.m: Initial import of code base + from Kevin Murphy. + +2003-03-11 09:37 yozhik + + * BNT/potentials/@scgcpot/reduce_pot.m: Initial revision + +2003-03-11 09:06 yozhik + + * BNT/potentials/@scgpot/marginalize_pot.m: Initial import of code + base from Kevin Murphy. + +2003-03-11 09:06 yozhik + + * BNT/potentials/@scgpot/marginalize_pot.m: Initial revision + +2003-03-11 06:04 yozhik + + * BNT/potentials/@scgpot/scgpot.m: Initial import of code base from + Kevin Murphy. + +2003-03-11 06:04 yozhik + + * BNT/potentials/@scgpot/scgpot.m: Initial revision + +2003-03-09 15:03 yozhik + + * BNT/CPDs/@gaussian_CPD/convert_to_pot.m: Initial import of code + base from Kevin Murphy. + +2003-03-09 15:03 yozhik + + * BNT/CPDs/@gaussian_CPD/convert_to_pot.m: Initial revision + +2003-03-09 14:44 yozhik + + * BNT/CPDs/@tabular_CPD/maximize_params.m: Initial import of code + base from Kevin Murphy. + +2003-03-09 14:44 yozhik + + * BNT/CPDs/@tabular_CPD/maximize_params.m: Initial revision + +2003-02-21 03:20 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_difclq_nodes.m: + Initial import of code base from Kevin Murphy. + +2003-02-21 03:20 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_difclq_nodes.m: + Initial revision + +2003-02-21 03:13 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_nodes.m: + Initial import of code base from Kevin Murphy. + +2003-02-21 03:13 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_nodes.m: + Initial revision + +2003-02-19 01:52 yozhik + + * BNT/inference/dynamic/@stable_ho_inf_engine/: enter_evidence.m, + marginal_family.m, marginal_nodes.m, test_ho_inf_enginge.m, + update_engine.m: Initial import of code base from Kevin Murphy. + +2003-02-19 01:52 yozhik + + * BNT/inference/dynamic/@stable_ho_inf_engine/: enter_evidence.m, + marginal_family.m, marginal_nodes.m, test_ho_inf_enginge.m, + update_engine.m: Initial revision + +2003-02-10 07:38 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/push.m: Initial + import of code base from Kevin Murphy. + +2003-02-10 07:38 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/push.m: Initial + revision + +2003-02-06 18:25 yozhik + + * KPMtools/checkpsd.m: Initial import of code base from Kevin + Murphy. + +2003-02-06 18:25 yozhik + + * KPMtools/checkpsd.m: Initial revision + +2003-02-05 19:16 yozhik + + * GraphViz/draw_hmm.m: Initial import of code base from Kevin + Murphy. + +2003-02-05 19:16 yozhik + + * GraphViz/draw_hmm.m: Initial revision + +2003-02-01 16:23 yozhik + + * BNT/: general/dbn_to_hmm.m, learning/learn_params_dbn.m: Initial + import of code base from Kevin Murphy. + +2003-02-01 16:23 yozhik + + * BNT/: general/dbn_to_hmm.m, learning/learn_params_dbn.m: Initial + revision + +2003-02-01 11:42 yozhik + + * BNT/general/mk_dbn.m: Initial import of code base from Kevin + Murphy. + +2003-02-01 11:42 yozhik + + * BNT/general/mk_dbn.m: Initial revision + +2003-01-30 16:13 yozhik + + * BNT/CPDs/@gaussian_CPD/maximize_params_debug.m: Initial import of + code base from Kevin Murphy. + +2003-01-30 16:13 yozhik + + * BNT/CPDs/@gaussian_CPD/maximize_params_debug.m: Initial revision + +2003-01-30 14:38 yozhik + + * BNT/CPDs/@gaussian_CPD/Old/maximize_params.m: Initial import of + code base from Kevin Murphy. + +2003-01-30 14:38 yozhik + + * BNT/CPDs/@gaussian_CPD/Old/maximize_params.m: Initial revision + +2003-01-29 03:23 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_singleclq_nodes.m: + Initial import of code base from Kevin Murphy. + +2003-01-29 03:23 yozhik + + * + BNT/inference/static/@stab_cond_gauss_inf_engine/marginal_singleclq_nodes.m: + Initial revision + +2003-01-24 11:36 yozhik + + * Kalman/sample_lds.m: Initial import of code base from Kevin + Murphy. + +2003-01-24 11:36 yozhik + + * Kalman/sample_lds.m: Initial revision + +2003-01-24 04:52 yozhik + + * BNT/potentials/@scgpot/extension_pot.m: Initial import of code + base from Kevin Murphy. + +2003-01-24 04:52 yozhik + + * BNT/potentials/@scgpot/extension_pot.m: Initial revision + +2003-01-23 10:49 yozhik + + * BNT/: general/convert_dbn_CPDs_to_tables1.m, + inference/dynamic/@hmm_inf_engine/private/mk_hmm_obs_lik_vec.m: + Initial import of code base from Kevin Murphy. + +2003-01-23 10:49 yozhik + + * BNT/: general/convert_dbn_CPDs_to_tables1.m, + inference/dynamic/@hmm_inf_engine/private/mk_hmm_obs_lik_vec.m: + Initial revision + +2003-01-23 10:44 yozhik + + * BNT/general/convert_dbn_CPDs_to_tables.m: Initial import of code + base from Kevin Murphy. + +2003-01-23 10:44 yozhik + + * BNT/general/convert_dbn_CPDs_to_tables.m: Initial revision + +2003-01-22 13:38 yozhik + + * BNT/inference/dynamic/@hmm_inf_engine/enter_evidence.m: Initial + import of code base from Kevin Murphy. + +2003-01-22 13:38 yozhik + + * BNT/inference/dynamic/@hmm_inf_engine/enter_evidence.m: Initial + revision + +2003-01-22 12:32 yozhik + + * HMM/mc_sample_endstate.m: Initial import of code base from Kevin + Murphy. + +2003-01-22 12:32 yozhik + + * HMM/mc_sample_endstate.m: Initial revision + +2003-01-22 09:56 yozhik + + * HMM/fixed_lag_smoother.m: Initial import of code base from Kevin + Murphy. + +2003-01-22 09:56 yozhik + + * HMM/fixed_lag_smoother.m: Initial revision + +2003-01-20 08:56 yozhik + + * GraphViz/draw_graph_test.m: Initial import of code base from + Kevin Murphy. + +2003-01-20 08:56 yozhik + + * GraphViz/draw_graph_test.m: Initial revision + +2003-01-18 15:10 yozhik + + * BNT/general/dsep_test.m: Initial import of code base from Kevin + Murphy. + +2003-01-18 15:10 yozhik + + * BNT/general/dsep_test.m: Initial revision + +2003-01-18 15:00 yozhik + + * BNT/copyright.txt: Initial import of code base from Kevin Murphy. + +2003-01-18 15:00 yozhik + + * BNT/copyright.txt: Initial revision + +2003-01-18 14:49 yozhik + + * Kalman/tracking_demo.m: Initial import of code base from Kevin + Murphy. + +2003-01-18 14:49 yozhik + + * Kalman/tracking_demo.m: Initial revision + +2003-01-18 14:22 yozhik + + * BNT/: examples/dummy, inference/dummy, inference/dynamic/dummy, + inference/online/dummy, inference/static/dummy: Initial import of + code base from Kevin Murphy. + +2003-01-18 14:22 yozhik + + * BNT/: examples/dummy, inference/dummy, inference/dynamic/dummy, + inference/online/dummy, inference/static/dummy: Initial revision + +2003-01-18 14:16 yozhik + + * BNT/examples/dynamic/: ehmm1.m, jtree_clq_test.m: Initial import + of code base from Kevin Murphy. + +2003-01-18 14:16 yozhik + + * BNT/examples/dynamic/: ehmm1.m, jtree_clq_test.m: Initial + revision + +2003-01-18 14:11 yozhik + + * BNT/inference/static/: + @jtree_sparse_inf_engine/jtree_sparse_inf_engine.m, + @jtree_mnet_inf_engine/jtree_mnet_inf_engine.m: Initial import of + code base from Kevin Murphy. + +2003-01-18 14:11 yozhik + + * BNT/inference/static/: + @jtree_sparse_inf_engine/jtree_sparse_inf_engine.m, + @jtree_mnet_inf_engine/jtree_mnet_inf_engine.m: Initial revision + +2003-01-18 13:17 yozhik + + * GraphViz/draw_dbn_test.m: Initial import of code base from Kevin + Murphy. + +2003-01-18 13:17 yozhik + + * GraphViz/draw_dbn_test.m: Initial revision + +2003-01-11 10:53 yozhik + + * BNT/inference/static/@pearl_inf_engine/pearl_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2003-01-11 10:53 yozhik + + * BNT/inference/static/@pearl_inf_engine/pearl_inf_engine.m: + Initial revision + +2003-01-11 10:48 yozhik + + * BNT/examples/dynamic/HHMM/Map/learn_map.m: Initial import of code + base from Kevin Murphy. + +2003-01-11 10:48 yozhik + + * BNT/examples/dynamic/HHMM/Map/learn_map.m: Initial revision + +2003-01-11 10:41 yozhik + + * BNT/inference/dynamic/@jtree_dbn_inf_engine/enter_evidence.m: + Initial import of code base from Kevin Murphy. + +2003-01-11 10:41 yozhik + + * BNT/inference/dynamic/@jtree_dbn_inf_engine/enter_evidence.m: + Initial revision + +2003-01-11 10:13 yozhik + + * BNT/inference/dynamic/@bk_inf_engine/enter_soft_evidence.m: + Initial import of code base from Kevin Murphy. + +2003-01-11 10:13 yozhik + + * BNT/inference/dynamic/@bk_inf_engine/enter_soft_evidence.m: + Initial revision + +2003-01-07 08:25 yozhik + + * BNT/CPDs/@softmax_CPD/softmax_CPD.m: Initial import of code base + from Kevin Murphy. + +2003-01-07 08:25 yozhik + + * BNT/CPDs/@softmax_CPD/softmax_CPD.m: Initial revision + +2003-01-03 14:01 yozhik + + * + BNT/inference/static/@belprop_mrf2_inf_engine/belprop_mrf2_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2003-01-03 14:01 yozhik + + * + BNT/inference/static/@belprop_mrf2_inf_engine/belprop_mrf2_inf_engine.m: + Initial revision + +2003-01-02 09:49 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/find_mpe.m: Initial + import of code base from Kevin Murphy. + +2003-01-02 09:49 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/find_mpe.m: Initial + revision + +2003-01-02 09:28 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/: set_params.m, + enter_soft_evidence.m: Initial import of code base from Kevin + Murphy. + +2003-01-02 09:28 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/: set_params.m, + enter_soft_evidence.m: Initial revision + +2002-12-31 14:06 yozhik + + * BNT/general/mk_mrf2.m: Initial import of code base from Kevin + Murphy. + +2002-12-31 14:06 yozhik + + * BNT/general/mk_mrf2.m: Initial revision + +2002-12-31 13:24 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/marginal_nodes.m: + Initial import of code base from Kevin Murphy. + +2002-12-31 13:24 yozhik + + * BNT/inference/static/@belprop_mrf2_inf_engine/marginal_nodes.m: + Initial revision + +2002-12-31 11:00 yozhik + + * BNT/inference/static/@belprop_inf_engine/belprop_inf_engine.m: + Initial import of code base from Kevin Murphy. + +2002-12-31 11:00 yozhik + + * BNT/inference/static/@belprop_inf_engine/belprop_inf_engine.m: + Initial revision + +2002-12-16 11:16 yozhik + + * BNT/examples/dynamic/HHMM/remove_hhmm_end_state.m: Initial import + of code base from Kevin Murphy. + +2002-12-16 11:16 yozhik + + * BNT/examples/dynamic/HHMM/remove_hhmm_end_state.m: Initial + revision + +2002-12-16 09:57 yozhik + + * BNT/general/unroll_set.m: Initial import of code base from Kevin + Murphy. + +2002-12-16 09:57 yozhik + + * BNT/general/unroll_set.m: Initial revision + +2002-11-26 14:14 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram3.m: Initial import of code + base from Kevin Murphy. + +2002-11-26 14:14 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram3.m: Initial revision + +2002-11-26 14:04 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram2.m: Initial import of code + base from Kevin Murphy. + +2002-11-26 14:04 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram2.m: Initial revision + +2002-11-22 16:44 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/Old/mgram2.m: Initial import of + code base from Kevin Murphy. + +2002-11-22 16:44 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/Old/mgram2.m: Initial revision + +2002-11-22 15:59 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram1.m: Initial import of code + base from Kevin Murphy. + +2002-11-22 15:59 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/mgram1.m: Initial revision + +2002-11-22 15:51 yozhik + + * BNT/inference/dynamic/@jtree_dbn_inf_engine/marginal_nodes.m: + Initial import of code base from Kevin Murphy. + +2002-11-22 15:51 yozhik + + * BNT/inference/dynamic/@jtree_dbn_inf_engine/marginal_nodes.m: + Initial revision + +2002-11-22 15:07 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/: num2letter.m, letter2num.m: + Initial import of code base from Kevin Murphy. + +2002-11-22 15:07 yozhik + + * BNT/examples/dynamic/HHMM/Mgram/: num2letter.m, letter2num.m: + Initial revision + +2002-11-22 14:35 yozhik + + * BNT/general/convert_dbn_CPDs_to_pots.m: Initial import of code + base from Kevin Murphy. + +2002-11-22 14:35 yozhik + + * BNT/general/convert_dbn_CPDs_to_pots.m: Initial revision + +2002-11-22 13:45 yozhik + + * HMM/mk_rightleft_transmat.m: Initial import of code base from + Kevin Murphy. + +2002-11-22 13:45 yozhik + + * HMM/mk_rightleft_transmat.m: Initial revision + +2002-11-14 12:33 yozhik + + * BNT/examples/dynamic/water2.m: Initial import of code base from + Kevin Murphy. + +2002-11-14 12:33 yozhik + + * BNT/examples/dynamic/water2.m: Initial revision + +2002-11-14 12:07 yozhik + + * BNT/examples/dynamic/water1.m: Initial import of code base from + Kevin Murphy. + +2002-11-14 12:07 yozhik + + * BNT/examples/dynamic/water1.m: Initial revision + +2002-11-14 12:02 yozhik + + * BNT/inference/: online/@hmm_2TBN_inf_engine/marginal_nodes.m, + dynamic/@hmm_inf_engine/marginal_nodes.m, + online/@hmm_2TBN_inf_engine/hmm_2TBN_inf_engine.m, + dynamic/@hmm_inf_engine/hmm_inf_engine.m, + dynamic/@hmm_inf_engine/marginal_family.m, + online/@hmm_2TBN_inf_engine/marginal_family.m: Initial import of + code base from Kevin Murphy. + +2002-11-14 12:02 yozhik + + * BNT/inference/: online/@hmm_2TBN_inf_engine/marginal_nodes.m, + dynamic/@hmm_inf_engine/marginal_nodes.m, + online/@hmm_2TBN_inf_engine/hmm_2TBN_inf_engine.m, + dynamic/@hmm_inf_engine/hmm_inf_engine.m, + dynamic/@hmm_inf_engine/marginal_family.m, + online/@hmm_2TBN_inf_engine/marginal_family.m: Initial revision + +2002-11-14 08:31 yozhik + + * BNT/inference/: + online/@jtree_2TBN_inf_engine/jtree_2TBN_inf_engine.m, + dynamic/@jtree_dbn_inf_engine/jtree_dbn_inf_engine.m: Initial + import of code base from Kevin Murphy. + +2002-11-14 08:31 yozhik + + * BNT/inference/: + online/@jtree_2TBN_inf_engine/jtree_2TBN_inf_engine.m, + dynamic/@jtree_dbn_inf_engine/jtree_dbn_inf_engine.m: Initial + revision + +2002-11-13 17:01 yozhik + + * BNT/examples/: static/qmr2.m, dynamic/arhmm1.m: Initial import of + code base from Kevin Murphy. + +2002-11-13 17:01 yozhik + + * BNT/examples/: static/qmr2.m, dynamic/arhmm1.m: Initial revision + +2002-11-03 08:44 yozhik + + * BNT/examples/static/Models/mk_alarm_bnet.m: Initial import of + code base from Kevin Murphy. + +2002-11-03 08:44 yozhik + + * BNT/examples/static/Models/mk_alarm_bnet.m: Initial revision + +2002-11-01 16:32 yozhik + + * Kalman/kalman_forward_backward.m: Initial import of code base + from Kevin Murphy. + +2002-11-01 16:32 yozhik + + * Kalman/kalman_forward_backward.m: Initial revision + +2002-10-23 08:17 yozhik + + * Kalman/learning_demo.m: Initial import of code base from Kevin + Murphy. + +2002-10-23 08:17 yozhik + + * Kalman/learning_demo.m: Initial revision + +2002-10-18 13:05 yozhik + + * BNT/inference/static/@pearl_inf_engine/marginal_family.m: Initial + import of code base from Kevin Murphy. + +2002-10-18 13:05 yozhik + + * BNT/inference/static/@pearl_inf_engine/marginal_family.m: Initial + revision + +2002-10-10 16:45 yozhik + + * BNT/examples/dynamic/jtree_clq_test2.m: Initial import of code + base from Kevin Murphy. + +2002-10-10 16:45 yozhik + + * BNT/examples/dynamic/jtree_clq_test2.m: Initial revision + +2002-10-10 16:14 yozhik + + * BNT/examples/dynamic/: mk_mildew_dbn.m, mk_uffe_dbn.m: Initial + import of code base from Kevin Murphy. + +2002-10-10 16:14 yozhik + + * BNT/examples/dynamic/: mk_mildew_dbn.m, mk_uffe_dbn.m: Initial + revision + +2002-10-09 13:36 yozhik + + * BNT/examples/dynamic/mk_ps_from_clqs.m: Initial import of code + base from Kevin Murphy. + +2002-10-09 13:36 yozhik + + * BNT/examples/dynamic/mk_ps_from_clqs.m: Initial revision + +2002-10-07 06:26 yozhik + + * BNT/CPDs/@deterministic_CPD/deterministic_CPD.m: Initial import + of code base from Kevin Murphy. + +2002-10-07 06:26 yozhik + + * BNT/CPDs/@deterministic_CPD/deterministic_CPD.m: Initial revision + +2002-10-02 08:39 yozhik + + * BNT/potentials/Tables/marg_tableC.c: Initial import of code base + from Kevin Murphy. + +2002-10-02 08:39 yozhik + + * BNT/potentials/Tables/marg_tableC.c: Initial revision + +2002-10-02 08:28 yozhik + + * BNT/potentials/Tables/: mult_by_tableM.m, mult_by_table2.m: + Initial import of code base from Kevin Murphy. + +2002-10-02 08:28 yozhik + + * BNT/potentials/Tables/: mult_by_tableM.m, mult_by_table2.m: + Initial revision + +2002-10-01 14:33 yozhik + + * BNT/potentials/Tables/mult_by_tableC.c: Initial import of code + base from Kevin Murphy. + +2002-10-01 14:33 yozhik + + * BNT/potentials/Tables/mult_by_tableC.c: Initial revision + +2002-10-01 14:23 yozhik + + * BNT/potentials/Tables/mult_by_table.c: Initial import of code + base from Kevin Murphy. + +2002-10-01 14:23 yozhik + + * BNT/potentials/Tables/mult_by_table.c: Initial revision + +2002-10-01 14:20 yozhik + + * BNT/potentials/Tables/repmat_and_mult.c: Initial import of code + base from Kevin Murphy. + +2002-10-01 14:20 yozhik + + * BNT/potentials/Tables/repmat_and_mult.c: Initial revision + +2002-10-01 12:04 yozhik + + * BNT/potentials/@dpot/dpot.m: Initial import of code base from + Kevin Murphy. + +2002-10-01 12:04 yozhik + + * BNT/potentials/@dpot/dpot.m: Initial revision + +2002-10-01 11:21 yozhik + + * BNT/examples/static/Belprop/belprop_polytree_discrete.m: Initial + import of code base from Kevin Murphy. + +2002-10-01 11:21 yozhik + + * BNT/examples/static/Belprop/belprop_polytree_discrete.m: Initial + revision + +2002-10-01 11:16 yozhik + + * BNT/examples/static/cmp_inference_static.m: Initial import of + code base from Kevin Murphy. + +2002-10-01 11:16 yozhik + + * BNT/examples/static/cmp_inference_static.m: Initial revision + +2002-10-01 10:39 yozhik + + * BNT/potentials/Tables/marg_tableM.m: Initial import of code base + from Kevin Murphy. + +2002-10-01 10:39 yozhik + + * BNT/potentials/Tables/marg_tableM.m: Initial revision + +2002-09-29 03:21 yozhik + + * BNT/potentials/Tables/mult_by_table_global.m: Initial import of + code base from Kevin Murphy. + +2002-09-29 03:21 yozhik + + * BNT/potentials/Tables/mult_by_table_global.m: Initial revision + +2002-09-26 01:39 yozhik + + * BNT/learning/learn_struct_K2.m: Initial import of code base from + Kevin Murphy. + +2002-09-26 01:39 yozhik + + * BNT/learning/learn_struct_K2.m: Initial revision + +2002-09-24 15:43 yozhik + + * BNT/: CPDs/@hhmm2Q_CPD/update_ess.m, + CPDs/@hhmm2Q_CPD/maximize_params.m, + examples/dynamic/HHMM/Map/disp_map_hhmm.m: Initial import of code + base from Kevin Murphy. + +2002-09-24 15:43 yozhik + + * BNT/: CPDs/@hhmm2Q_CPD/update_ess.m, + CPDs/@hhmm2Q_CPD/maximize_params.m, + examples/dynamic/HHMM/Map/disp_map_hhmm.m: Initial revision + +2002-09-24 15:34 yozhik + + * BNT/CPDs/@hhmm2Q_CPD/: hhmm2Q_CPD.m, reset_ess.m: Initial import + of code base from Kevin Murphy. + +2002-09-24 15:34 yozhik + + * BNT/CPDs/@hhmm2Q_CPD/: hhmm2Q_CPD.m, reset_ess.m: Initial + revision + +2002-09-24 15:13 yozhik + + * BNT/examples/dynamic/HHMM/Map/mk_rnd_map_hhmm.m: Initial import + of code base from Kevin Murphy. + +2002-09-24 15:13 yozhik + + * BNT/examples/dynamic/HHMM/Map/mk_rnd_map_hhmm.m: Initial revision + +2002-09-24 06:10 yozhik + + * BNT/CPDs/@hhmmQ_CPD/maximize_params.m: Initial import of code + base from Kevin Murphy. + +2002-09-24 06:10 yozhik + + * BNT/CPDs/@hhmmQ_CPD/maximize_params.m: Initial revision + +2002-09-24 06:02 yozhik + + * BNT/examples/dynamic/HHMM/Map/sample_from_map.m: Initial import + of code base from Kevin Murphy. + +2002-09-24 06:02 yozhik + + * BNT/examples/dynamic/HHMM/Map/sample_from_map.m: Initial revision + +2002-09-24 05:46 yozhik + + * BNT/CPDs/@hhmm2Q_CPD/CPD_to_CPT.m: Initial import of code base + from Kevin Murphy. + +2002-09-24 05:46 yozhik + + * BNT/CPDs/@hhmm2Q_CPD/CPD_to_CPT.m: Initial revision + +2002-09-24 03:49 yozhik + + * BNT/examples/dynamic/HHMM/Map/mk_map_hhmm.m: Initial import of + code base from Kevin Murphy. + +2002-09-24 03:49 yozhik + + * BNT/examples/dynamic/HHMM/Map/mk_map_hhmm.m: Initial revision + +2002-09-24 00:02 yozhik + + * BNT/examples/dynamic/HHMM/Map/Old/mk_map_hhmm.m: Initial import + of code base from Kevin Murphy. + +2002-09-24 00:02 yozhik + + * BNT/examples/dynamic/HHMM/Map/Old/mk_map_hhmm.m: Initial revision + +2002-09-23 21:19 yozhik + + * BNT/CPDs/@hhmmQ_CPD/hhmmQ_CPD.m: Initial import of code base from + Kevin Murphy. + +2002-09-23 21:19 yozhik + + * BNT/CPDs/@hhmmQ_CPD/hhmmQ_CPD.m: Initial revision + +2002-09-23 19:58 yozhik + + * BNT/CPDs/@hhmmQ_CPD/update_CPT.m: Initial import of code base + from Kevin Murphy. + +2002-09-23 19:58 yozhik + + * BNT/CPDs/@hhmmQ_CPD/update_CPT.m: Initial revision + +2002-09-23 19:30 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_CPT.m: Initial import of code base + from Kevin Murphy. + +2002-09-23 19:30 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_CPT.m: Initial revision + +2002-09-21 14:37 yozhik + + * BNT/examples/dynamic/HHMM/abcd_hhmm.m: Initial import of code + base from Kevin Murphy. + +2002-09-21 14:37 yozhik + + * BNT/examples/dynamic/HHMM/abcd_hhmm.m: Initial revision + +2002-09-21 13:58 yozhik + + * BNT/examples/dynamic/HHMM/mk_hhmm.m: Initial import of code base + from Kevin Murphy. + +2002-09-21 13:58 yozhik + + * BNT/examples/dynamic/HHMM/mk_hhmm.m: Initial revision + +2002-09-10 10:44 yozhik + + * BNT/CPDs/@gaussian_CPD/log_prob_node.m: Initial import of code + base from Kevin Murphy. + +2002-09-10 10:44 yozhik + + * BNT/CPDs/@gaussian_CPD/log_prob_node.m: Initial revision + +2002-07-28 16:09 yozhik + + * BNT/learning/: learn_struct_pdag_pc_constrain.m, CovMat.m: + Initial import of code base from Kevin Murphy. + +2002-07-28 16:09 yozhik + + * BNT/learning/: learn_struct_pdag_pc_constrain.m, CovMat.m: + Initial revision + +2002-07-24 07:48 yozhik + + * BNT/general/hodbn_to_bnet.m: Initial import of code base from + Kevin Murphy. + +2002-07-24 07:48 yozhik + + * BNT/general/hodbn_to_bnet.m: Initial revision + +2002-07-23 06:17 yozhik + + * BNT/general/mk_higher_order_dbn.m: Initial import of code base + from Kevin Murphy. + +2002-07-23 06:17 yozhik + + * BNT/general/mk_higher_order_dbn.m: Initial revision + +2002-07-20 18:25 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/set_fields.m: Initial + import of code base from Kevin Murphy. + +2002-07-20 18:25 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/set_fields.m: Initial + revision + +2002-07-20 17:32 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/back_mpe.m: Initial + import of code base from Kevin Murphy. + +2002-07-20 17:32 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/back_mpe.m: Initial + revision + +2002-07-02 15:56 yozhik + + * BNT/examples/dynamic/HHMM/Motif/learn_motif_hhmm.m: Initial + import of code base from Kevin Murphy. + +2002-07-02 15:56 yozhik + + * BNT/examples/dynamic/HHMM/Motif/learn_motif_hhmm.m: Initial + revision + +2002-06-27 13:34 yozhik + + * BNT/general/add_ev_to_dmarginal.m: Initial import of code base + from Kevin Murphy. + +2002-06-27 13:34 yozhik + + * BNT/general/add_ev_to_dmarginal.m: Initial revision + +2002-06-24 16:54 yozhik + + * BNT/CPDs/@hhmmF_CPD/update_ess.m: Initial import of code base + from Kevin Murphy. + +2002-06-24 16:54 yozhik + + * BNT/CPDs/@hhmmF_CPD/update_ess.m: Initial revision + +2002-06-24 16:38 yozhik + + * BNT/CPDs/@hhmmF_CPD/hhmmF_CPD.m: Initial import of code base from + Kevin Murphy. + +2002-06-24 16:38 yozhik + + * BNT/CPDs/@hhmmF_CPD/hhmmF_CPD.m: Initial revision + +2002-06-24 15:45 yozhik + + * BNT/CPDs/@hhmmF_CPD/update_CPT.m: Initial import of code base + from Kevin Murphy. + +2002-06-24 15:45 yozhik + + * BNT/CPDs/@hhmmF_CPD/update_CPT.m: Initial revision + +2002-06-24 15:35 yozhik + + * BNT/CPDs/@hhmmF_CPD/Old/: hhmmF_CPD.m, log_prior.m, + maximize_params.m, reset_ess.m, update_CPT.m, update_ess.m: + Initial import of code base from Kevin Murphy. + +2002-06-24 15:35 yozhik + + * BNT/CPDs/@hhmmF_CPD/Old/: hhmmF_CPD.m, log_prior.m, + maximize_params.m, reset_ess.m, update_CPT.m, update_ess.m: + Initial revision + +2002-06-24 15:23 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess4.m: Initial import of code + base from Kevin Murphy. + +2002-06-24 15:23 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess4.m: Initial revision + +2002-06-24 15:08 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess3.m: Initial import of code + base from Kevin Murphy. + +2002-06-24 15:08 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess3.m: Initial revision + +2002-06-24 14:20 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess2.m: Initial import of code + base from Kevin Murphy. + +2002-06-24 14:20 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/update_ess2.m: Initial revision + +2002-06-24 11:56 yozhik + + * BNT/: general/mk_fgraph_given_ev.m, + CPDs/mk_isolated_tabular_CPD.m: Initial import of code base from + Kevin Murphy. + +2002-06-24 11:56 yozhik + + * BNT/: general/mk_fgraph_given_ev.m, + CPDs/mk_isolated_tabular_CPD.m: Initial revision + +2002-06-24 11:19 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/: hhmmQ_CPD.m, log_prior.m, + maximize_params.m, reset_ess.m, update_ess.m: Initial import of + code base from Kevin Murphy. + +2002-06-24 11:19 yozhik + + * BNT/CPDs/@hhmmQ_CPD/Old/: hhmmQ_CPD.m, log_prior.m, + maximize_params.m, reset_ess.m, update_ess.m: Initial revision + +2002-06-20 13:30 yozhik + + * BNT/examples/dynamic/mildew1.m: Initial import of code base from + Kevin Murphy. + +2002-06-20 13:30 yozhik + + * BNT/examples/dynamic/mildew1.m: Initial revision + +2002-06-19 17:18 yozhik + + * BNT/: inference/dynamic/@hmm_inf_engine/find_mpe.m, + examples/dynamic/HHMM/Square/learn_square_hhmm_cts.m: Initial + import of code base from Kevin Murphy. + +2002-06-19 17:18 yozhik + + * BNT/: inference/dynamic/@hmm_inf_engine/find_mpe.m, + examples/dynamic/HHMM/Square/learn_square_hhmm_cts.m: Initial + revision + +2002-06-19 17:03 yozhik + + * BNT/examples/static/fgraph/fg1.m: Initial import of code base + from Kevin Murphy. + +2002-06-19 17:03 yozhik + + * BNT/examples/static/fgraph/fg1.m: Initial revision + +2002-06-19 16:59 yozhik + + * BNT/: examples/static/softev1.m, + inference/static/@belprop_fg_inf_engine/find_mpe.m: Initial + import of code base from Kevin Murphy. + +2002-06-19 16:59 yozhik + + * BNT/: examples/static/softev1.m, + inference/static/@belprop_fg_inf_engine/find_mpe.m: Initial + revision + +2002-06-19 15:11 yozhik + + * BNT/inference/static/@var_elim_inf_engine/find_mpe.m: Initial + import of code base from Kevin Murphy. + +2002-06-19 15:11 yozhik + + * BNT/inference/static/@var_elim_inf_engine/find_mpe.m: Initial + revision + +2002-06-19 15:08 yozhik + + * BNT/: inference/static/@belprop_inf_engine/find_mpe.m, + examples/static/mpe1.m, examples/static/mpe2.m: Initial import of + code base from Kevin Murphy. + +2002-06-19 15:08 yozhik + + * BNT/: inference/static/@belprop_inf_engine/find_mpe.m, + examples/static/mpe1.m, examples/static/mpe2.m: Initial revision + +2002-06-19 15:04 yozhik + + * BNT/inference/static/@var_elim_inf_engine/: + var_elim_inf_engine.m, enter_evidence.m: Initial import of code + base from Kevin Murphy. + +2002-06-19 15:04 yozhik + + * BNT/inference/static/@var_elim_inf_engine/: + var_elim_inf_engine.m, enter_evidence.m: Initial revision + +2002-06-19 14:56 yozhik + + * BNT/inference/static/@global_joint_inf_engine/find_mpe.m: Initial + import of code base from Kevin Murphy. + +2002-06-19 14:56 yozhik + + * BNT/inference/static/@global_joint_inf_engine/find_mpe.m: Initial + revision + +2002-06-17 16:49 yozhik + + * BNT/inference/online/: @jtree_2TBN_inf_engine/back1_mpe.m, + @smoother_engine/find_mpe.m: Initial import of code base from + Kevin Murphy. + +2002-06-17 16:49 yozhik + + * BNT/inference/online/: @jtree_2TBN_inf_engine/back1_mpe.m, + @smoother_engine/find_mpe.m: Initial revision + +2002-06-17 16:46 yozhik + + * BNT/inference/online/: @jtree_2TBN_inf_engine/fwd.m, + @jtree_2TBN_inf_engine/fwd1.m, @smoother_engine/enter_evidence.m: + Initial import of code base from Kevin Murphy. + +2002-06-17 16:46 yozhik + + * BNT/inference/online/: @jtree_2TBN_inf_engine/fwd.m, + @jtree_2TBN_inf_engine/fwd1.m, @smoother_engine/enter_evidence.m: + Initial revision + +2002-06-17 16:38 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/backT_mpe.m: Initial + import of code base from Kevin Murphy. + +2002-06-17 16:38 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/backT_mpe.m: Initial + revision + +2002-06-17 16:34 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/: back.m, backT.m, + back1.m: Initial import of code base from Kevin Murphy. + +2002-06-17 16:34 yozhik + + * BNT/inference/online/@jtree_2TBN_inf_engine/: back.m, backT.m, + back1.m: Initial revision + +2002-06-17 16:14 yozhik + + * BNT/inference/static/@jtree_inf_engine/: find_mpe.m, + find_max_config.m: Initial import of code base from Kevin Murphy. + +2002-06-17 16:14 yozhik + + * BNT/inference/static/@jtree_inf_engine/: find_mpe.m, + find_max_config.m: Initial revision + +2002-06-17 14:58 yozhik + + * BNT/general/Old/calc_mpe.m: Initial import of code base from + Kevin Murphy. + +2002-06-17 14:58 yozhik + + * BNT/general/Old/calc_mpe.m: Initial revision + +2002-06-17 13:59 yozhik + + * BNT/inference/static/@jtree_inf_engine/: enter_evidence.m, + distribute_evidence.m: Initial import of code base from Kevin + Murphy. + +2002-06-17 13:59 yozhik + + * BNT/inference/static/@jtree_inf_engine/: enter_evidence.m, + distribute_evidence.m: Initial revision + +2002-06-17 13:29 yozhik + + * BNT/inference/static/@jtree_mnet_inf_engine/: find_mpe.m, + enter_evidence.m: Initial import of code base from Kevin Murphy. + +2002-06-17 13:29 yozhik + + * BNT/inference/static/@jtree_mnet_inf_engine/: find_mpe.m, + enter_evidence.m: Initial revision + +2002-06-16 13:01 yozhik + + * BNT/general/is_mnet.m: Initial import of code base from Kevin + Murphy. + +2002-06-16 13:01 yozhik + + * BNT/general/is_mnet.m: Initial revision + +2002-06-16 12:52 yozhik + + * BNT/general/mk_mnet.m: Initial import of code base from Kevin + Murphy. + +2002-06-16 12:52 yozhik + + * BNT/general/mk_mnet.m: Initial revision + +2002-06-16 12:34 yozhik + + * BNT/inference/static/@jtree_inf_engine/init_pot.m: Initial import + of code base from Kevin Murphy. + +2002-06-16 12:34 yozhik + + * BNT/inference/static/@jtree_inf_engine/init_pot.m: Initial + revision + +2002-06-16 12:06 yozhik + + * BNT/potentials/@dpot/find_most_prob_entry.m: Initial import of + code base from Kevin Murphy. + +2002-06-16 12:06 yozhik + + * BNT/potentials/@dpot/find_most_prob_entry.m: Initial revision + +2002-05-31 03:25 yozhik + + * BNT/general/unroll_higher_order_topology.m: Initial import of + code base from Kevin Murphy. + +2002-05-31 03:25 yozhik + + * BNT/general/unroll_higher_order_topology.m: Initial revision + +2002-05-29 08:59 yozhik + + * BNT/@assocarray/assocarray.m, + BNT/CPDs/@boolean_CPD/boolean_CPD.m, + BNT/CPDs/@discrete_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@discrete_CPD/CPD_to_pi.m, + BNT/CPDs/@discrete_CPD/CPD_to_scgpot.m, + BNT/CPDs/@discrete_CPD/README, + BNT/CPDs/@discrete_CPD/convert_CPD_to_table_hidden_ps.m, + BNT/CPDs/@discrete_CPD/convert_obs_CPD_to_table.m, + BNT/CPDs/@discrete_CPD/convert_to_sparse_table.c, + BNT/CPDs/@discrete_CPD/convert_to_table.m, + BNT/CPDs/@discrete_CPD/discrete_CPD.m, + BNT/CPDs/@discrete_CPD/dom_sizes.m, + BNT/CPDs/@discrete_CPD/log_prob_node.m, + BNT/CPDs/@discrete_CPD/prob_node.m, + BNT/CPDs/@discrete_CPD/sample_node.m, + BNT/CPDs/@discrete_CPD/Old/convert_to_pot.m, + BNT/CPDs/@discrete_CPD/Old/convert_to_table.m, + BNT/CPDs/@discrete_CPD/Old/prob_CPD.m, + BNT/CPDs/@discrete_CPD/Old/prob_node.m, + BNT/CPDs/@discrete_CPD/private/prod_CPT_and_pi_msgs.m, + BNT/CPDs/@gaussian_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@gaussian_CPD/CPD_to_pi.m, + BNT/CPDs/@gaussian_CPD/CPD_to_scgpot.m, + BNT/CPDs/@gaussian_CPD/adjustable_CPD.m, + BNT/CPDs/@gaussian_CPD/convert_CPD_to_table_hidden_ps.m, + BNT/CPDs/@gaussian_CPD/display.m, + BNT/CPDs/@gaussian_CPD/get_field.m, + BNT/CPDs/@gaussian_CPD/reset_ess.m, + BNT/CPDs/@gaussian_CPD/sample_node.m, + BNT/CPDs/@gaussian_CPD/set_fields.m, + BNT/CPDs/@gaussian_CPD/Old/CPD_to_lambda_msg.m, + BNT/CPDs/@gaussian_CPD/Old/gaussian_CPD.m, + BNT/CPDs/@gaussian_CPD/Old/log_prob_node.m, + BNT/CPDs/@gaussian_CPD/Old/update_ess.m, + BNT/CPDs/@gaussian_CPD/Old/update_tied_ess.m, + BNT/CPDs/@gaussian_CPD/private/CPD_to_linear_gaussian.m, + BNT/CPDs/@generic_CPD/README, + BNT/CPDs/@generic_CPD/adjustable_CPD.m, + BNT/CPDs/@generic_CPD/display.m, + BNT/CPDs/@generic_CPD/generic_CPD.m, + BNT/CPDs/@generic_CPD/log_prior.m, + BNT/CPDs/@generic_CPD/set_clamped.m, + BNT/CPDs/@generic_CPD/Old/BIC_score_CPD.m, + BNT/CPDs/@generic_CPD/Old/CPD_to_dpots.m, + BNT/CPDs/@gmux_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@gmux_CPD/convert_to_pot.m, + BNT/CPDs/@gmux_CPD/CPD_to_pi.m, BNT/CPDs/@gmux_CPD/display.m, + BNT/CPDs/@gmux_CPD/gmux_CPD.m, BNT/CPDs/@gmux_CPD/sample_node.m, + BNT/CPDs/@gmux_CPD/Old/gmux_CPD.m, + BNT/CPDs/@hhmmF_CPD/log_prior.m, + BNT/CPDs/@hhmmF_CPD/maximize_params.m, + BNT/CPDs/@hhmmF_CPD/reset_ess.m, BNT/CPDs/@hhmmQ_CPD/log_prior.m, + BNT/CPDs/@hhmmQ_CPD/reset_ess.m, + BNT/CPDs/@mlp_CPD/convert_to_table.m, + BNT/CPDs/@mlp_CPD/maximize_params.m, BNT/CPDs/@mlp_CPD/mlp_CPD.m, + BNT/CPDs/@mlp_CPD/reset_ess.m, BNT/CPDs/@mlp_CPD/update_ess.m, + BNT/CPDs/@noisyor_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@noisyor_CPD/CPD_to_pi.m, + BNT/CPDs/@noisyor_CPD/noisyor_CPD.m, + BNT/CPDs/@noisyor_CPD/private/sum_prod_CPD_and_pi_msgs.m, + BNT/CPDs/@root_CPD/CPD_to_pi.m, + BNT/CPDs/@root_CPD/convert_to_pot.m, + BNT/CPDs/@root_CPD/log_marg_prob_node.m, + BNT/CPDs/@root_CPD/log_prob_node.m, + BNT/CPDs/@root_CPD/root_CPD.m, BNT/CPDs/@root_CPD/sample_node.m, + BNT/CPDs/@root_CPD/Old/CPD_to_CPT.m, + BNT/CPDs/@softmax_CPD/convert_to_pot.m, + BNT/CPDs/@softmax_CPD/display.m, + BNT/CPDs/@softmax_CPD/get_field.m, + BNT/CPDs/@softmax_CPD/maximize_params.m, + BNT/CPDs/@softmax_CPD/reset_ess.m, + BNT/CPDs/@softmax_CPD/sample_node.m, + BNT/CPDs/@softmax_CPD/set_fields.m, + BNT/CPDs/@softmax_CPD/update_ess.m, + BNT/CPDs/@softmax_CPD/private/extract_params.m, + BNT/CPDs/@tabular_CPD/CPD_to_CPT.m, + BNT/CPDs/@tabular_CPD/bayes_update_params.m, + BNT/CPDs/@tabular_CPD/log_nextcase_prob_node.m, + BNT/CPDs/@tabular_CPD/log_prior.m, + BNT/CPDs/@tabular_CPD/reset_ess.m, + BNT/CPDs/@tabular_CPD/update_ess.m, + BNT/CPDs/@tabular_CPD/update_ess_simple.m, + BNT/CPDs/@tabular_CPD/Old/BIC_score_CPD.m, + BNT/CPDs/@tabular_CPD/Old/bayesian_score_CPD.m, + BNT/CPDs/@tabular_CPD/Old/log_marg_prob_node_case.m, + BNT/CPDs/@tabular_CPD/Old/mult_CPD_and_pi_msgs.m, + BNT/CPDs/@tabular_CPD/Old/prob_CPT.m, + BNT/CPDs/@tabular_CPD/Old/prob_node.m, + BNT/CPDs/@tabular_CPD/Old/sample_node.m, + BNT/CPDs/@tabular_CPD/Old/sample_node_single_case.m, + BNT/CPDs/@tabular_CPD/Old/tabular_CPD.m, + BNT/CPDs/@tabular_CPD/Old/update_params.m, + BNT/CPDs/@tabular_decision_node/CPD_to_CPT.m, + BNT/CPDs/@tabular_decision_node/display.m, + BNT/CPDs/@tabular_decision_node/get_field.m, + BNT/CPDs/@tabular_decision_node/set_fields.m, + BNT/CPDs/@tabular_decision_node/tabular_decision_node.m, + BNT/CPDs/@tabular_decision_node/Old/tabular_decision_node.m, + BNT/CPDs/@tabular_kernel/convert_to_pot.m, + BNT/CPDs/@tabular_kernel/convert_to_table.m, + BNT/CPDs/@tabular_kernel/get_field.m, + BNT/CPDs/@tabular_kernel/set_fields.m, + BNT/CPDs/@tabular_kernel/tabular_kernel.m, + BNT/CPDs/@tabular_kernel/Old/tabular_kernel.m, + BNT/CPDs/@tabular_utility_node/convert_to_pot.m, + BNT/CPDs/@tabular_utility_node/display.m, + BNT/CPDs/@tabular_utility_node/tabular_utility_node.m, + BNT/CPDs/@tree_CPD/display.m, + BNT/CPDs/@tree_CPD/evaluate_tree_performance.m, + BNT/CPDs/@tree_CPD/get_field.m, + BNT/CPDs/@tree_CPD/learn_params.m, BNT/CPDs/@tree_CPD/readme.txt, + BNT/CPDs/@tree_CPD/set_fields.m, BNT/CPDs/@tree_CPD/tree_CPD.m, + BNT/CPDs/Old/@linear_gaussian_CPD/linear_gaussian_CPD.m, + BNT/CPDs/Old/@linear_gaussian_CPD/log_marg_prob_node.m, + BNT/CPDs/Old/@linear_gaussian_CPD/update_params_complete.m, + BNT/CPDs/Old/@root_gaussian_CPD/log_marg_prob_node.m, + BNT/CPDs/Old/@root_gaussian_CPD/root_gaussian_CPD.m, + BNT/CPDs/Old/@root_gaussian_CPD/update_params_complete.m, + BNT/CPDs/Old/@tabular_chance_node/CPD_to_upot.m, + BNT/CPDs/Old/@tabular_chance_node/tabular_chance_node.m, + BNT/examples/dynamic/bat1.m, BNT/examples/dynamic/bkff1.m, + BNT/examples/dynamic/chmm1.m, + BNT/examples/dynamic/cmp_inference_dbn.m, + BNT/examples/dynamic/cmp_learning_dbn.m, + BNT/examples/dynamic/cmp_online_inference.m, + BNT/examples/dynamic/fhmm_infer.m, + BNT/examples/dynamic/filter_test1.m, + BNT/examples/dynamic/kalman1.m, + BNT/examples/dynamic/kjaerulff1.m, + BNT/examples/dynamic/loopy_dbn1.m, + BNT/examples/dynamic/mk_collage_from_clqs.m, + BNT/examples/dynamic/mk_fhmm.m, BNT/examples/dynamic/reveal1.m, + BNT/examples/dynamic/scg_dbn.m, + BNT/examples/dynamic/skf_data_assoc_gmux.m, + BNT/examples/dynamic/HHMM/add_hhmm_end_state.m, + BNT/examples/dynamic/HHMM/hhmm_jtree_clqs.m, + BNT/examples/dynamic/HHMM/mk_hhmm_topo.m, + BNT/examples/dynamic/HHMM/mk_hhmm_topo_F1.m, + BNT/examples/dynamic/HHMM/pretty_print_hhmm_parse.m, + BNT/examples/dynamic/HHMM/Motif/fixed_args_mk_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Motif/mk_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Motif/sample_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Old/mk_abcd_hhmm.m, + BNT/examples/dynamic/HHMM/Old/mk_arrow_alpha_hhmm3.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm2.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm3.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm3_args.m, + BNT/examples/dynamic/HHMM/Old/motif_hhmm.m, + 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BNT/examples/static/Models/Old/mk_hmm_bnet.m, + BNT/examples/static/SCG/scg1.m, BNT/examples/static/SCG/scg2.m, + BNT/examples/static/SCG/scg3.m, + BNT/examples/static/SCG/scg_3node.m, + BNT/examples/static/SCG/scg_unstable.m, + BNT/examples/static/StructLearn/bic1.m, + BNT/examples/static/StructLearn/cooper_yoo.m, + BNT/examples/static/StructLearn/k2demo1.m, + BNT/examples/static/StructLearn/mcmc1.m, + BNT/examples/static/StructLearn/pc1.m, + BNT/examples/static/StructLearn/pc2.m, + BNT/examples/static/Zoubin/README, + BNT/examples/static/Zoubin/csum.m, + BNT/examples/static/Zoubin/ffa.m, + BNT/examples/static/Zoubin/mfa.m, + BNT/examples/static/Zoubin/mfa_cl.m, + BNT/examples/static/Zoubin/mfademo.m, + BNT/examples/static/Zoubin/rdiv.m, + BNT/examples/static/Zoubin/rprod.m, + BNT/examples/static/Zoubin/rsum.m, + BNT/examples/static/dtree/test_housing.m, + BNT/examples/static/dtree/test_restaurants.m, + BNT/examples/static/dtree/test_zoo1.m, + BNT/examples/static/dtree/tmp.dot, + BNT/examples/static/dtree/transform_data_into_bnt_format.m, + BNT/examples/static/fgraph/fg2.m, + BNT/examples/static/fgraph/fg3.m, + BNT/examples/static/fgraph/fg_mrf1.m, + BNT/examples/static/fgraph/fg_mrf2.m, + BNT/general/bnet_to_fgraph.m, + BNT/general/compute_fwd_interface.m, + BNT/general/compute_interface_nodes.m, + BNT/general/compute_minimal_interface.m, + BNT/general/dbn_to_bnet.m, + BNT/general/determine_elim_constraints.m, + BNT/general/do_intervention.m, BNT/general/dsep.m, + BNT/general/enumerate_scenarios.m, BNT/general/fgraph_to_bnet.m, + BNT/general/log_lik_complete.m, + BNT/general/log_marg_lik_complete.m, BNT/general/mk_bnet.m, + BNT/general/mk_fgraph.m, BNT/general/mk_limid.m, + BNT/general/mk_mutilated_samples.m, + BNT/general/mk_slice_and_half_dbn.m, + BNT/general/partition_dbn_nodes.m, + BNT/general/sample_bnet_nocell.m, BNT/general/sample_dbn.m, + BNT/general/score_bnet_complete.m, + BNT/general/unroll_dbn_topology.m, + BNT/general/Old/bnet_to_gdl_graph.m, + 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BNT/inference/static/@enumerative_inf_engine/marginal_nodes.m, + BNT/inference/static/@gaussian_inf_engine/enter_evidence.m, + BNT/inference/static/@gaussian_inf_engine/marginal_nodes.m, + BNT/inference/static/@gaussian_inf_engine/private/extract_params_from_gbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/enter_evidence.m, + BNT/inference/static/@gibbs_sampling_inf_engine/gibbs_sampling_inf_engine.m, + BNT/inference/static/@gibbs_sampling_inf_engine/marginal_nodes.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/CPT.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_children.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_families.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_families_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_posterior.c, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_posterior_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_strides.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_cpts.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_slice_dbn.c, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_slice_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/my_sample_discrete.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/sample_single_discrete.c, + BNT/inference/static/@global_joint_inf_engine/global_joint_inf_engine.m, + BNT/inference/static/@global_joint_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_inf_engine/cliques_from_engine.m, + BNT/inference/static/@jtree_inf_engine/clq_containing_nodes.m, + BNT/inference/static/@jtree_inf_engine/collect_evidence.m, + BNT/inference/static/@jtree_inf_engine/enter_soft_evidence.m, + BNT/inference/static/@jtree_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_inf_engine/set_fields.m, + BNT/inference/static/@jtree_inf_engine/Old/collect_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/distribute_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/enter_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/enter_soft_evidence.m, + BNT/inference/static/@jtree_limid_inf_engine/enter_evidence.m, + BNT/inference/static/@jtree_limid_inf_engine/jtree_limid_inf_engine.m, + BNT/inference/static/@jtree_limid_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_limid_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_limid_inf_engine/Old/marginal_family.m, + BNT/inference/static/@jtree_limid_inf_engine/Old/marginal_nodes_SS.m, + BNT/inference/static/@jtree_sparse_inf_engine/cliques_from_engine.m, + BNT/inference/static/@jtree_sparse_inf_engine/clq_containing_nodes.m, + BNT/inference/static/@jtree_sparse_inf_engine/collect_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/distribute_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/enter_evidence.m, + BNT/inference/static/@jtree_sparse_inf_engine/enter_soft_evidence.m, + BNT/inference/static/@jtree_sparse_inf_engine/init_pot.c, + BNT/inference/static/@jtree_sparse_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_sparse_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_sparse_inf_engine/set_fields.m, + BNT/inference/static/@jtree_sparse_inf_engine/old/collect_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/distribute_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot1.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot1.m, + BNT/inference/static/@likelihood_weighting_inf_engine/enter_evidence.m, + BNT/inference/static/@likelihood_weighting_inf_engine/likelihood_weighting_inf_engine.m, + BNT/inference/static/@likelihood_weighting_inf_engine/marginal_nodes.m, + BNT/inference/static/@pearl_inf_engine/enter_evidence.m, + BNT/inference/static/@pearl_inf_engine/loopy_converged.m, + BNT/inference/static/@pearl_inf_engine/marginal_nodes.m, + BNT/inference/static/@pearl_inf_engine/private/compute_bel.m, + BNT/inference/static/@pearl_inf_engine/private/prod_lambda_msgs.m, + BNT/inference/static/@pearl_inf_engine/private/tree_protocol.m, + BNT/inference/static/@quickscore_inf_engine/enter_evidence.m, + BNT/inference/static/@quickscore_inf_engine/marginal_nodes.m, + BNT/inference/static/@quickscore_inf_engine/quickscore_inf_engine.m, + BNT/inference/static/@quickscore_inf_engine/private/C_quickscore.c, + BNT/inference/static/@quickscore_inf_engine/private/nr.h, + BNT/inference/static/@quickscore_inf_engine/private/nrutil.c, + BNT/inference/static/@quickscore_inf_engine/private/nrutil.h, + BNT/inference/static/@quickscore_inf_engine/private/quickscore.m, + BNT/learning/bayes_update_params.m, + BNT/learning/bic_score_family.m, + BNT/learning/compute_cooling_schedule.m, + BNT/learning/dirichlet_score_family.m, + BNT/learning/kpm_learn_struct_mcmc.m, + BNT/learning/learn_params_em.m, + BNT/learning/learn_struct_dbn_reveal.m, + BNT/learning/learn_struct_pdag_ic_star.m, + BNT/learning/mcmc_sample_to_hist.m, BNT/learning/mk_schedule.m, + BNT/learning/mk_tetrad_data_file.m, + BNT/learning/score_dags_old.m, HMM/dhmm_logprob_brute_force.m, + HMM/dhmm_logprob_path.m, HMM/mdp_sample.m, Kalman/AR_to_SS.m, + Kalman/SS_to_AR.m, Kalman/convert_to_lagged_form.m, + Kalman/ensure_AR.m, Kalman/eval_AR_perf.m, + Kalman/kalman_filter.m, Kalman/kalman_smoother.m, + Kalman/kalman_update.m, Kalman/learn_AR.m, + Kalman/learn_AR_diagonal.m, Kalman/learn_kalman.m, + Kalman/smooth_update.m, + BNT/general/convert_dbn_CPDs_to_tables_slow.m, + BNT/general/dispcpt.m, BNT/general/linear_gaussian_to_cpot.m, + BNT/general/partition_matrix_vec_3.m, + BNT/general/shrink_obs_dims_in_gaussian.m, + BNT/general/shrink_obs_dims_in_table.m, + BNT/potentials/CPD_to_pot.m, BNT/potentials/README, + BNT/potentials/check_for_cd_arcs.m, + BNT/potentials/determine_pot_type.m, + BNT/potentials/mk_initial_pot.m, + BNT/potentials/@cgpot/cg_can_to_mom.m, + BNT/potentials/@cgpot/cg_mom_to_can.m, + BNT/potentials/@cgpot/cgpot.m, BNT/potentials/@cgpot/display.m, + BNT/potentials/@cgpot/divide_by_pot.m, + BNT/potentials/@cgpot/domain_pot.m, + BNT/potentials/@cgpot/enter_cts_evidence_pot.m, + BNT/potentials/@cgpot/enter_discrete_evidence_pot.m, + BNT/potentials/@cgpot/marginalize_pot.m, + BNT/potentials/@cgpot/multiply_by_pot.m, + BNT/potentials/@cgpot/multiply_pots.m, + BNT/potentials/@cgpot/normalize_pot.m, + BNT/potentials/@cgpot/pot_to_marginal.m, + BNT/potentials/@cgpot/Old/normalize_pot.m, + BNT/potentials/@cgpot/Old/simple_marginalize_pot.m, + BNT/potentials/@cpot/cpot.m, BNT/potentials/@cpot/cpot_to_mpot.m, + BNT/potentials/@cpot/display.m, + BNT/potentials/@cpot/divide_by_pot.m, + BNT/potentials/@cpot/domain_pot.m, + BNT/potentials/@cpot/enter_cts_evidence_pot.m, + BNT/potentials/@cpot/marginalize_pot.m, + BNT/potentials/@cpot/multiply_by_pot.m, + BNT/potentials/@cpot/multiply_pots.m, + BNT/potentials/@cpot/normalize_pot.m, + BNT/potentials/@cpot/pot_to_marginal.m, + BNT/potentials/@cpot/rescale_pot.m, + BNT/potentials/@cpot/set_domain_pot.m, + BNT/potentials/@cpot/Old/cpot_to_mpot.m, + BNT/potentials/@cpot/Old/normalize_pot.convert.m, + BNT/potentials/@dpot/approxeq_pot.m, + BNT/potentials/@dpot/display.m, + BNT/potentials/@dpot/domain_pot.m, + BNT/potentials/@dpot/dpot_to_table.m, + BNT/potentials/@dpot/get_fields.m, + BNT/potentials/@dpot/multiply_pots.m, + BNT/potentials/@dpot/pot_to_marginal.m, + BNT/potentials/@dpot/set_domain_pot.m, + BNT/potentials/@mpot/display.m, + BNT/potentials/@mpot/marginalize_pot.m, + BNT/potentials/@mpot/mpot.m, BNT/potentials/@mpot/mpot_to_cpot.m, + BNT/potentials/@mpot/normalize_pot.m, + BNT/potentials/@mpot/pot_to_marginal.m, + BNT/potentials/@mpot/rescale_pot.m, + BNT/potentials/@upot/approxeq_pot.m, + BNT/potentials/@upot/display.m, + BNT/potentials/@upot/divide_by_pot.m, + BNT/potentials/@upot/marginalize_pot.m, + BNT/potentials/@upot/multiply_by_pot.m, + BNT/potentials/@upot/normalize_pot.m, + BNT/potentials/@upot/pot_to_marginal.m, + BNT/potentials/@upot/upot.m, + BNT/potentials/@upot/upot_to_opt_policy.m, + BNT/potentials/Old/comp_eff_node_sizes.m, + BNT/potentials/Tables/divide_by_sparse_table.c, + BNT/potentials/Tables/divide_by_table.c, + BNT/potentials/Tables/marg_sparse_table.c, + BNT/potentials/Tables/marg_table.c, + BNT/potentials/Tables/mult_by_sparse_table.c, + BNT/potentials/Tables/rep_mult.c, HMM/mk_leftright_transmat.m: + Initial import of code base from Kevin Murphy. + +2002-05-29 08:59 yozhik + + * BNT/@assocarray/assocarray.m, + BNT/CPDs/@boolean_CPD/boolean_CPD.m, + BNT/CPDs/@discrete_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@discrete_CPD/CPD_to_pi.m, + BNT/CPDs/@discrete_CPD/CPD_to_scgpot.m, + BNT/CPDs/@discrete_CPD/README, + BNT/CPDs/@discrete_CPD/convert_CPD_to_table_hidden_ps.m, + BNT/CPDs/@discrete_CPD/convert_obs_CPD_to_table.m, + BNT/CPDs/@discrete_CPD/convert_to_sparse_table.c, + BNT/CPDs/@discrete_CPD/convert_to_table.m, + BNT/CPDs/@discrete_CPD/discrete_CPD.m, + BNT/CPDs/@discrete_CPD/dom_sizes.m, + BNT/CPDs/@discrete_CPD/log_prob_node.m, + BNT/CPDs/@discrete_CPD/prob_node.m, + BNT/CPDs/@discrete_CPD/sample_node.m, + BNT/CPDs/@discrete_CPD/Old/convert_to_pot.m, + BNT/CPDs/@discrete_CPD/Old/convert_to_table.m, + BNT/CPDs/@discrete_CPD/Old/prob_CPD.m, + BNT/CPDs/@discrete_CPD/Old/prob_node.m, + BNT/CPDs/@discrete_CPD/private/prod_CPT_and_pi_msgs.m, + BNT/CPDs/@gaussian_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@gaussian_CPD/CPD_to_pi.m, + BNT/CPDs/@gaussian_CPD/CPD_to_scgpot.m, + BNT/CPDs/@gaussian_CPD/adjustable_CPD.m, + BNT/CPDs/@gaussian_CPD/convert_CPD_to_table_hidden_ps.m, + BNT/CPDs/@gaussian_CPD/display.m, + BNT/CPDs/@gaussian_CPD/get_field.m, + BNT/CPDs/@gaussian_CPD/reset_ess.m, + BNT/CPDs/@gaussian_CPD/sample_node.m, + BNT/CPDs/@gaussian_CPD/set_fields.m, + BNT/CPDs/@gaussian_CPD/Old/CPD_to_lambda_msg.m, + BNT/CPDs/@gaussian_CPD/Old/gaussian_CPD.m, + BNT/CPDs/@gaussian_CPD/Old/log_prob_node.m, + BNT/CPDs/@gaussian_CPD/Old/update_ess.m, + BNT/CPDs/@gaussian_CPD/Old/update_tied_ess.m, + BNT/CPDs/@gaussian_CPD/private/CPD_to_linear_gaussian.m, + BNT/CPDs/@generic_CPD/README, + BNT/CPDs/@generic_CPD/adjustable_CPD.m, + BNT/CPDs/@generic_CPD/display.m, + BNT/CPDs/@generic_CPD/generic_CPD.m, + BNT/CPDs/@generic_CPD/log_prior.m, + BNT/CPDs/@generic_CPD/set_clamped.m, + BNT/CPDs/@generic_CPD/Old/BIC_score_CPD.m, + BNT/CPDs/@generic_CPD/Old/CPD_to_dpots.m, + BNT/CPDs/@gmux_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@gmux_CPD/convert_to_pot.m, + BNT/CPDs/@gmux_CPD/CPD_to_pi.m, BNT/CPDs/@gmux_CPD/display.m, + BNT/CPDs/@gmux_CPD/gmux_CPD.m, BNT/CPDs/@gmux_CPD/sample_node.m, + BNT/CPDs/@gmux_CPD/Old/gmux_CPD.m, + BNT/CPDs/@hhmmF_CPD/log_prior.m, + BNT/CPDs/@hhmmF_CPD/maximize_params.m, + BNT/CPDs/@hhmmF_CPD/reset_ess.m, BNT/CPDs/@hhmmQ_CPD/log_prior.m, + BNT/CPDs/@hhmmQ_CPD/reset_ess.m, + BNT/CPDs/@mlp_CPD/convert_to_table.m, + BNT/CPDs/@mlp_CPD/maximize_params.m, BNT/CPDs/@mlp_CPD/mlp_CPD.m, + BNT/CPDs/@mlp_CPD/reset_ess.m, BNT/CPDs/@mlp_CPD/update_ess.m, + BNT/CPDs/@noisyor_CPD/CPD_to_lambda_msg.m, + BNT/CPDs/@noisyor_CPD/CPD_to_pi.m, + BNT/CPDs/@noisyor_CPD/noisyor_CPD.m, + BNT/CPDs/@noisyor_CPD/private/sum_prod_CPD_and_pi_msgs.m, + BNT/CPDs/@root_CPD/CPD_to_pi.m, + BNT/CPDs/@root_CPD/convert_to_pot.m, + BNT/CPDs/@root_CPD/log_marg_prob_node.m, + BNT/CPDs/@root_CPD/log_prob_node.m, + BNT/CPDs/@root_CPD/root_CPD.m, BNT/CPDs/@root_CPD/sample_node.m, + BNT/CPDs/@root_CPD/Old/CPD_to_CPT.m, + BNT/CPDs/@softmax_CPD/convert_to_pot.m, + BNT/CPDs/@softmax_CPD/display.m, + BNT/CPDs/@softmax_CPD/get_field.m, + BNT/CPDs/@softmax_CPD/maximize_params.m, + BNT/CPDs/@softmax_CPD/reset_ess.m, + BNT/CPDs/@softmax_CPD/sample_node.m, + BNT/CPDs/@softmax_CPD/set_fields.m, + BNT/CPDs/@softmax_CPD/update_ess.m, + BNT/CPDs/@softmax_CPD/private/extract_params.m, + BNT/CPDs/@tabular_CPD/CPD_to_CPT.m, + BNT/CPDs/@tabular_CPD/bayes_update_params.m, + BNT/CPDs/@tabular_CPD/log_nextcase_prob_node.m, + BNT/CPDs/@tabular_CPD/log_prior.m, + BNT/CPDs/@tabular_CPD/reset_ess.m, + BNT/CPDs/@tabular_CPD/update_ess.m, + BNT/CPDs/@tabular_CPD/update_ess_simple.m, + BNT/CPDs/@tabular_CPD/Old/BIC_score_CPD.m, + BNT/CPDs/@tabular_CPD/Old/bayesian_score_CPD.m, + BNT/CPDs/@tabular_CPD/Old/log_marg_prob_node_case.m, + BNT/CPDs/@tabular_CPD/Old/mult_CPD_and_pi_msgs.m, + BNT/CPDs/@tabular_CPD/Old/prob_CPT.m, + BNT/CPDs/@tabular_CPD/Old/prob_node.m, + BNT/CPDs/@tabular_CPD/Old/sample_node.m, + BNT/CPDs/@tabular_CPD/Old/sample_node_single_case.m, + BNT/CPDs/@tabular_CPD/Old/tabular_CPD.m, + BNT/CPDs/@tabular_CPD/Old/update_params.m, + BNT/CPDs/@tabular_decision_node/CPD_to_CPT.m, + BNT/CPDs/@tabular_decision_node/display.m, + BNT/CPDs/@tabular_decision_node/get_field.m, + BNT/CPDs/@tabular_decision_node/set_fields.m, + BNT/CPDs/@tabular_decision_node/tabular_decision_node.m, + BNT/CPDs/@tabular_decision_node/Old/tabular_decision_node.m, + BNT/CPDs/@tabular_kernel/convert_to_pot.m, + BNT/CPDs/@tabular_kernel/convert_to_table.m, + BNT/CPDs/@tabular_kernel/get_field.m, + BNT/CPDs/@tabular_kernel/set_fields.m, + BNT/CPDs/@tabular_kernel/tabular_kernel.m, + BNT/CPDs/@tabular_kernel/Old/tabular_kernel.m, + BNT/CPDs/@tabular_utility_node/convert_to_pot.m, + BNT/CPDs/@tabular_utility_node/display.m, + BNT/CPDs/@tabular_utility_node/tabular_utility_node.m, + BNT/CPDs/@tree_CPD/display.m, + BNT/CPDs/@tree_CPD/evaluate_tree_performance.m, + BNT/CPDs/@tree_CPD/get_field.m, + BNT/CPDs/@tree_CPD/learn_params.m, BNT/CPDs/@tree_CPD/readme.txt, + BNT/CPDs/@tree_CPD/set_fields.m, BNT/CPDs/@tree_CPD/tree_CPD.m, + BNT/CPDs/Old/@linear_gaussian_CPD/linear_gaussian_CPD.m, + BNT/CPDs/Old/@linear_gaussian_CPD/log_marg_prob_node.m, + BNT/CPDs/Old/@linear_gaussian_CPD/update_params_complete.m, + BNT/CPDs/Old/@root_gaussian_CPD/log_marg_prob_node.m, + BNT/CPDs/Old/@root_gaussian_CPD/root_gaussian_CPD.m, + BNT/CPDs/Old/@root_gaussian_CPD/update_params_complete.m, + BNT/CPDs/Old/@tabular_chance_node/CPD_to_upot.m, + BNT/CPDs/Old/@tabular_chance_node/tabular_chance_node.m, + BNT/examples/dynamic/bat1.m, BNT/examples/dynamic/bkff1.m, + BNT/examples/dynamic/chmm1.m, + BNT/examples/dynamic/cmp_inference_dbn.m, + BNT/examples/dynamic/cmp_learning_dbn.m, + BNT/examples/dynamic/cmp_online_inference.m, + BNT/examples/dynamic/fhmm_infer.m, + BNT/examples/dynamic/filter_test1.m, + BNT/examples/dynamic/kalman1.m, + BNT/examples/dynamic/kjaerulff1.m, + BNT/examples/dynamic/loopy_dbn1.m, + BNT/examples/dynamic/mk_collage_from_clqs.m, + BNT/examples/dynamic/mk_fhmm.m, BNT/examples/dynamic/reveal1.m, + BNT/examples/dynamic/scg_dbn.m, + BNT/examples/dynamic/skf_data_assoc_gmux.m, + BNT/examples/dynamic/HHMM/add_hhmm_end_state.m, + BNT/examples/dynamic/HHMM/hhmm_jtree_clqs.m, + BNT/examples/dynamic/HHMM/mk_hhmm_topo.m, + BNT/examples/dynamic/HHMM/mk_hhmm_topo_F1.m, + BNT/examples/dynamic/HHMM/pretty_print_hhmm_parse.m, + BNT/examples/dynamic/HHMM/Motif/fixed_args_mk_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Motif/mk_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Motif/sample_motif_hhmm.m, + BNT/examples/dynamic/HHMM/Old/mk_abcd_hhmm.m, + BNT/examples/dynamic/HHMM/Old/mk_arrow_alpha_hhmm3.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm2.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm3.m, + BNT/examples/dynamic/HHMM/Old/mk_hhmm3_args.m, + BNT/examples/dynamic/HHMM/Old/motif_hhmm.m, + BNT/examples/dynamic/HHMM/Old/remove_hhmm_end_state.m, + BNT/examples/dynamic/HHMM/Square/get_square_data.m, + BNT/examples/dynamic/HHMM/Square/hhmm_inference.m, + BNT/examples/dynamic/HHMM/Square/is_F2_true_D3.m, + BNT/examples/dynamic/HHMM/Square/learn_square_hhmm_discrete.m, + BNT/examples/dynamic/HHMM/Square/mk_square_hhmm.m, + BNT/examples/dynamic/HHMM/Square/plot_square_hhmm.m, + BNT/examples/dynamic/HHMM/Square/sample_square_hhmm_cts.m, + BNT/examples/dynamic/HHMM/Square/sample_square_hhmm_discrete.m, + BNT/examples/dynamic/HHMM/Square/square4.mat, + BNT/examples/dynamic/HHMM/Square/square4_cases.mat, + BNT/examples/dynamic/HHMM/Square/test_square_fig.m, + BNT/examples/dynamic/HHMM/Square/test_square_fig.mat, + BNT/examples/dynamic/HHMM/Square/Old/learn_square_hhmm.m, + BNT/examples/dynamic/HHMM/Square/Old/mk_square_hhmm.m, + BNT/examples/dynamic/HHMM/Square/Old/plot_square_hhmm.m, + BNT/examples/dynamic/HHMM/Square/Old/sample_square_hhmm.m, + BNT/examples/dynamic/Old/chmm1.m, + BNT/examples/dynamic/Old/cmp_inference.m, + BNT/examples/dynamic/Old/kalman1.m, + BNT/examples/dynamic/Old/old.water1.m, + BNT/examples/dynamic/Old/online1.m, + BNT/examples/dynamic/Old/online2.m, + BNT/examples/dynamic/Old/scg_dbn.m, + BNT/examples/dynamic/SLAM/mk_gmux_robot_dbn.m, + BNT/examples/dynamic/SLAM/mk_linear_slam.m, + BNT/examples/dynamic/SLAM/slam_kf.m, + BNT/examples/dynamic/SLAM/slam_offline_loopy.m, + BNT/examples/dynamic/SLAM/slam_partial_kf.m, + BNT/examples/dynamic/SLAM/slam_stationary_loopy.m, + BNT/examples/dynamic/SLAM/Old/offline_loopy_slam.m, + BNT/examples/dynamic/SLAM/Old/paskin1.m, + BNT/examples/dynamic/SLAM/Old/skf_data_assoc_gmux2.m, + BNT/examples/dynamic/SLAM/Old/slam_kf.m, + BNT/examples/limids/id1.m, BNT/examples/limids/pigs1.m, + BNT/examples/static/cg1.m, BNT/examples/static/cg2.m, + BNT/examples/static/discrete2.m, BNT/examples/static/discrete3.m, + BNT/examples/static/fa1.m, BNT/examples/static/gaussian1.m, + BNT/examples/static/gibbs_test1.m, BNT/examples/static/lw1.m, + BNT/examples/static/mfa1.m, BNT/examples/static/mixexp1.m, + BNT/examples/static/mixexp2.m, BNT/examples/static/mixexp3.m, + BNT/examples/static/mog1.m, BNT/examples/static/qmr1.m, + BNT/examples/static/sample1.m, BNT/examples/static/softmax1.m, + BNT/examples/static/Belprop/belprop_loop1_discrete.m, + BNT/examples/static/Belprop/belprop_loop1_gauss.m, + BNT/examples/static/Belprop/belprop_loopy_cg.m, + BNT/examples/static/Belprop/belprop_loopy_discrete.m, + BNT/examples/static/Belprop/belprop_loopy_gauss.m, + BNT/examples/static/Belprop/belprop_polytree_cg.m, + BNT/examples/static/Belprop/belprop_polytree_gauss.m, + BNT/examples/static/Belprop/bp1.m, + BNT/examples/static/Belprop/gmux1.m, + BNT/examples/static/Brutti/Belief_IOhmm.m, + BNT/examples/static/Brutti/Belief_hmdt.m, + BNT/examples/static/Brutti/Belief_hme.m, + BNT/examples/static/Brutti/Sigmoid_Belief.m, + BNT/examples/static/HME/HMEforMatlab.jpg, + BNT/examples/static/HME/README, BNT/examples/static/HME/fhme.m, + BNT/examples/static/HME/gen_data.m, + BNT/examples/static/HME/hme_class_plot.m, + BNT/examples/static/HME/hme_reg_plot.m, + BNT/examples/static/HME/hme_topobuilder.m, + BNT/examples/static/HME/test_data_class.mat, + BNT/examples/static/HME/test_data_class2.mat, + BNT/examples/static/HME/test_data_reg.mat, + BNT/examples/static/HME/train_data_class.mat, + BNT/examples/static/HME/train_data_reg.mat, + BNT/examples/static/Misc/mixexp_data.txt, + BNT/examples/static/Misc/mixexp_graddesc.m, + BNT/examples/static/Misc/mixexp_plot.m, + BNT/examples/static/Misc/sprinkler.bif, + BNT/examples/static/Models/mk_cancer_bnet.m, + BNT/examples/static/Models/mk_car_bnet.m, + BNT/examples/static/Models/mk_ideker_bnet.m, + BNT/examples/static/Models/mk_incinerator_bnet.m, + BNT/examples/static/Models/mk_markov_chain_bnet.m, + BNT/examples/static/Models/mk_minimal_qmr_bnet.m, + BNT/examples/static/Models/mk_qmr_bnet.m, + BNT/examples/static/Models/mk_vstruct_bnet.m, + BNT/examples/static/Models/Old/mk_hmm_bnet.m, + BNT/examples/static/SCG/scg1.m, BNT/examples/static/SCG/scg2.m, + BNT/examples/static/SCG/scg3.m, + BNT/examples/static/SCG/scg_3node.m, + BNT/examples/static/SCG/scg_unstable.m, + BNT/examples/static/StructLearn/bic1.m, + BNT/examples/static/StructLearn/cooper_yoo.m, + BNT/examples/static/StructLearn/k2demo1.m, + BNT/examples/static/StructLearn/mcmc1.m, + BNT/examples/static/StructLearn/pc1.m, + BNT/examples/static/StructLearn/pc2.m, + BNT/examples/static/Zoubin/README, + BNT/examples/static/Zoubin/csum.m, + BNT/examples/static/Zoubin/ffa.m, + BNT/examples/static/Zoubin/mfa.m, + BNT/examples/static/Zoubin/mfa_cl.m, + BNT/examples/static/Zoubin/mfademo.m, + BNT/examples/static/Zoubin/rdiv.m, + BNT/examples/static/Zoubin/rprod.m, + BNT/examples/static/Zoubin/rsum.m, + BNT/examples/static/dtree/test_housing.m, + BNT/examples/static/dtree/test_restaurants.m, + BNT/examples/static/dtree/test_zoo1.m, + BNT/examples/static/dtree/tmp.dot, + BNT/examples/static/dtree/transform_data_into_bnt_format.m, + BNT/examples/static/fgraph/fg2.m, + BNT/examples/static/fgraph/fg3.m, + BNT/examples/static/fgraph/fg_mrf1.m, + BNT/examples/static/fgraph/fg_mrf2.m, + BNT/general/bnet_to_fgraph.m, + BNT/general/compute_fwd_interface.m, + BNT/general/compute_interface_nodes.m, + BNT/general/compute_minimal_interface.m, + BNT/general/dbn_to_bnet.m, + BNT/general/determine_elim_constraints.m, + BNT/general/do_intervention.m, BNT/general/dsep.m, + BNT/general/enumerate_scenarios.m, BNT/general/fgraph_to_bnet.m, + BNT/general/log_lik_complete.m, + BNT/general/log_marg_lik_complete.m, BNT/general/mk_bnet.m, + BNT/general/mk_fgraph.m, BNT/general/mk_limid.m, + BNT/general/mk_mutilated_samples.m, + BNT/general/mk_slice_and_half_dbn.m, + BNT/general/partition_dbn_nodes.m, + BNT/general/sample_bnet_nocell.m, BNT/general/sample_dbn.m, + BNT/general/score_bnet_complete.m, + BNT/general/unroll_dbn_topology.m, + BNT/general/Old/bnet_to_gdl_graph.m, + BNT/general/Old/calc_mpe_bucket.m, + BNT/general/Old/calc_mpe_dbn.m, + BNT/general/Old/calc_mpe_given_inf_engine.m, + BNT/general/Old/calc_mpe_global.m, + BNT/general/Old/compute_interface_nodes.m, + BNT/general/Old/mk_gdl_graph.m, GraphViz/draw_dbn.m, + GraphViz/make_layout.m, BNT/license.gpl.txt, + BNT/general/add_evidence_to_gmarginal.m, + BNT/inference/@inf_engine/bnet_from_engine.m, + BNT/inference/@inf_engine/get_field.m, + BNT/inference/@inf_engine/inf_engine.m, + BNT/inference/@inf_engine/marginal_family.m, + BNT/inference/@inf_engine/set_fields.m, + BNT/inference/@inf_engine/update_engine.m, + BNT/inference/@inf_engine/Old/marginal_family_pot.m, + BNT/inference/@inf_engine/Old/observed_nodes.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/bk_ff_hmm_inf_engine.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/dbn_init_bel.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/dbn_marginal_from_bel.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/dbn_predict_bel.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/dbn_update_bel.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/dbn_update_bel1.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/marginal_family.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/bk_ff_fb.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/combine_marginals_into_joint.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/dbn_to_hmm.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/mk_hmm_obs_lik_mat.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/mk_hmm_obs_lik_vec.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/mk_hmm_obs_lik_vec1.m, + BNT/inference/dynamic/@bk_ff_hmm_inf_engine/private/project_joint_onto_marginals.m, + BNT/inference/dynamic/@bk_inf_engine/bk_inf_engine.m, + BNT/inference/dynamic/@bk_inf_engine/dbn_init_bel.m, + BNT/inference/dynamic/@bk_inf_engine/dbn_marginal_from_bel.m, + BNT/inference/dynamic/@bk_inf_engine/dbn_update_bel.m, + BNT/inference/dynamic/@bk_inf_engine/dbn_update_bel1.m, + BNT/inference/dynamic/@bk_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@bk_inf_engine/marginal_family.m, + BNT/inference/dynamic/@bk_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@bk_inf_engine/update_engine.m, + BNT/inference/dynamic/@ff_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@ff_inf_engine/enter_soft_evidence.m, + BNT/inference/dynamic/@ff_inf_engine/ff_inf_engine.m, + BNT/inference/dynamic/@ff_inf_engine/filter_evidence.m, + BNT/inference/dynamic/@ff_inf_engine/marginal_family.m, + BNT/inference/dynamic/@ff_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@ff_inf_engine/smooth_evidence.m, + BNT/inference/dynamic/@ff_inf_engine/Old/enter_soft_evidence.m, + BNT/inference/dynamic/@ff_inf_engine/Old/enter_soft_evidence1.m, + BNT/inference/dynamic/@ff_inf_engine/Old/marginal_family.m, + BNT/inference/dynamic/@frontier_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@frontier_inf_engine/enter_soft_evidence.m, + BNT/inference/dynamic/@frontier_inf_engine/frontier_inf_engine.m, + BNT/inference/dynamic/@frontier_inf_engine/marginal_family.m, + BNT/inference/dynamic/@frontier_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@frontier_inf_engine/set_fwdback.m, + BNT/inference/dynamic/@hmm_inf_engine/update_engine.m, + BNT/inference/dynamic/@hmm_inf_engine/Old/dhmm_inf_engine.m, + BNT/inference/dynamic/@hmm_inf_engine/Old/marginal_family.m, + BNT/inference/dynamic/@hmm_inf_engine/Old/marginal_nodes.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/marginal_family.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Broken/enter_soft_evidence1.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Broken/enter_soft_evidence2.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Broken/enter_soft_evidence3.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Broken/enter_soft_evidence4.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Broken/marginal_nodes.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Old/enter_soft_evidence_nonint.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Old/enter_soft_evidence_trans.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Old/jtree_dbn_inf_engine.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Old/jtree_dbn_inf_engine1.m, + BNT/inference/dynamic/@jtree_dbn_inf_engine/Old/jtree_dbn_inf_engine2.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/jtree_unrolled_dbn_inf_engine.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/marginal_family.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/update_engine.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/Old/marginal_family.m, + BNT/inference/dynamic/@jtree_unrolled_dbn_inf_engine/Old/marginal_nodes.m, + BNT/inference/dynamic/@kalman_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@kalman_inf_engine/kalman_inf_engine.m, + BNT/inference/dynamic/@kalman_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@kalman_inf_engine/update_engine.m, + BNT/inference/dynamic/@kalman_inf_engine/private/dbn_to_lds.m, + BNT/inference/dynamic/@kalman_inf_engine/private/extract_params_from_gbn.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/enter_soft_ev.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/pearl_dbn_inf_engine.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/correct_smooth.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/enter_evidence.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/filter_evidence.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/filter_evidence_obj_oriented.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/smooth_evidence.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/smooth_evidence_fast.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/Old/wrong_smooth.m, + BNT/inference/dynamic/@pearl_dbn_inf_engine/private/init_pearl_dbn_ev_msgs.m, + BNT/inference/dynamic/@pearl_unrolled_dbn_inf_engine/enter_evidence.m, + BNT/inference/dynamic/@pearl_unrolled_dbn_inf_engine/marginal_family.m, + BNT/inference/dynamic/@pearl_unrolled_dbn_inf_engine/marginal_nodes.m, + BNT/inference/dynamic/@pearl_unrolled_dbn_inf_engine/pearl_unrolled_dbn_inf_engine.m, + BNT/inference/dynamic/@pearl_unrolled_dbn_inf_engine/update_engine.m, + BNT/inference/online/@filter_engine/bnet_from_engine.m, + BNT/inference/online/@filter_engine/enter_evidence.m, + BNT/inference/online/@filter_engine/filter_engine.m, + BNT/inference/online/@filter_engine/marginal_family.m, + BNT/inference/online/@filter_engine/marginal_nodes.m, + BNT/inference/online/@hmm_2TBN_inf_engine/back.m, 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BNT/inference/static/@belprop_inf_engine/Old/belprop_gdl_inf_engine.m, + BNT/inference/static/@belprop_inf_engine/Old/belprop_inf_engine_nostr.m, + BNT/inference/static/@belprop_inf_engine/Old/enter_evidence.m, + BNT/inference/static/@belprop_inf_engine/Old/enter_evidence1.m, + BNT/inference/static/@belprop_inf_engine/Old/marginal_domain.m, + BNT/inference/static/@belprop_inf_engine/private/junk, + BNT/inference/static/@belprop_inf_engine/private/parallel_protocol.m, + BNT/inference/static/@belprop_inf_engine/private/tree_protocol.m, + BNT/inference/static/@cond_gauss_inf_engine/cond_gauss_inf_engine.m, + BNT/inference/static/@cond_gauss_inf_engine/enter_evidence.m, + BNT/inference/static/@cond_gauss_inf_engine/marginal_nodes.m, + BNT/inference/static/@enumerative_inf_engine/enter_evidence.m, + BNT/inference/static/@enumerative_inf_engine/enumerative_inf_engine.m, + BNT/inference/static/@enumerative_inf_engine/marginal_nodes.m, + BNT/inference/static/@gaussian_inf_engine/enter_evidence.m, + BNT/inference/static/@gaussian_inf_engine/marginal_nodes.m, + BNT/inference/static/@gaussian_inf_engine/private/extract_params_from_gbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/enter_evidence.m, + BNT/inference/static/@gibbs_sampling_inf_engine/gibbs_sampling_inf_engine.m, + BNT/inference/static/@gibbs_sampling_inf_engine/marginal_nodes.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/CPT.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_children.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_families.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_families_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_posterior.c, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_posterior_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/compute_strides.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_cpts.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_slice_dbn.c, + BNT/inference/static/@gibbs_sampling_inf_engine/private/get_slice_dbn.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/my_sample_discrete.m, + BNT/inference/static/@gibbs_sampling_inf_engine/private/sample_single_discrete.c, + BNT/inference/static/@global_joint_inf_engine/global_joint_inf_engine.m, + BNT/inference/static/@global_joint_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_inf_engine/cliques_from_engine.m, + BNT/inference/static/@jtree_inf_engine/clq_containing_nodes.m, + BNT/inference/static/@jtree_inf_engine/collect_evidence.m, + BNT/inference/static/@jtree_inf_engine/enter_soft_evidence.m, + BNT/inference/static/@jtree_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_inf_engine/set_fields.m, + BNT/inference/static/@jtree_inf_engine/Old/collect_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/distribute_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/enter_evidence.m, + BNT/inference/static/@jtree_inf_engine/Old/enter_soft_evidence.m, + BNT/inference/static/@jtree_limid_inf_engine/enter_evidence.m, + BNT/inference/static/@jtree_limid_inf_engine/jtree_limid_inf_engine.m, + BNT/inference/static/@jtree_limid_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_limid_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_limid_inf_engine/Old/marginal_family.m, + BNT/inference/static/@jtree_limid_inf_engine/Old/marginal_nodes_SS.m, + BNT/inference/static/@jtree_sparse_inf_engine/cliques_from_engine.m, + BNT/inference/static/@jtree_sparse_inf_engine/clq_containing_nodes.m, + BNT/inference/static/@jtree_sparse_inf_engine/collect_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/distribute_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/enter_evidence.m, + BNT/inference/static/@jtree_sparse_inf_engine/enter_soft_evidence.m, + BNT/inference/static/@jtree_sparse_inf_engine/init_pot.c, + BNT/inference/static/@jtree_sparse_inf_engine/marginal_family.m, + BNT/inference/static/@jtree_sparse_inf_engine/marginal_nodes.m, + BNT/inference/static/@jtree_sparse_inf_engine/set_fields.m, + BNT/inference/static/@jtree_sparse_inf_engine/old/collect_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/distribute_evidence.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot1.c, + BNT/inference/static/@jtree_sparse_inf_engine/old/init_pot1.m, + BNT/inference/static/@likelihood_weighting_inf_engine/enter_evidence.m, + BNT/inference/static/@likelihood_weighting_inf_engine/likelihood_weighting_inf_engine.m, + BNT/inference/static/@likelihood_weighting_inf_engine/marginal_nodes.m, + BNT/inference/static/@pearl_inf_engine/enter_evidence.m, + BNT/inference/static/@pearl_inf_engine/loopy_converged.m, + BNT/inference/static/@pearl_inf_engine/marginal_nodes.m, + BNT/inference/static/@pearl_inf_engine/private/compute_bel.m, + BNT/inference/static/@pearl_inf_engine/private/prod_lambda_msgs.m, + BNT/inference/static/@pearl_inf_engine/private/tree_protocol.m, + BNT/inference/static/@quickscore_inf_engine/enter_evidence.m, + BNT/inference/static/@quickscore_inf_engine/marginal_nodes.m, + BNT/inference/static/@quickscore_inf_engine/quickscore_inf_engine.m, + BNT/inference/static/@quickscore_inf_engine/private/C_quickscore.c, + BNT/inference/static/@quickscore_inf_engine/private/nr.h, + BNT/inference/static/@quickscore_inf_engine/private/nrutil.c, + BNT/inference/static/@quickscore_inf_engine/private/nrutil.h, + BNT/inference/static/@quickscore_inf_engine/private/quickscore.m, + BNT/learning/bayes_update_params.m, + BNT/learning/bic_score_family.m, + BNT/learning/compute_cooling_schedule.m, + BNT/learning/dirichlet_score_family.m, + BNT/learning/kpm_learn_struct_mcmc.m, + BNT/learning/learn_params_em.m, + BNT/learning/learn_struct_dbn_reveal.m, + BNT/learning/learn_struct_pdag_ic_star.m, + BNT/learning/mcmc_sample_to_hist.m, BNT/learning/mk_schedule.m, + BNT/learning/mk_tetrad_data_file.m, + BNT/learning/score_dags_old.m, HMM/dhmm_logprob_brute_force.m, + HMM/dhmm_logprob_path.m, HMM/mdp_sample.m, Kalman/AR_to_SS.m, + Kalman/SS_to_AR.m, Kalman/convert_to_lagged_form.m, + Kalman/ensure_AR.m, Kalman/eval_AR_perf.m, + Kalman/kalman_filter.m, Kalman/kalman_smoother.m, + Kalman/kalman_update.m, Kalman/learn_AR.m, + Kalman/learn_AR_diagonal.m, Kalman/learn_kalman.m, + Kalman/smooth_update.m, + BNT/general/convert_dbn_CPDs_to_tables_slow.m, + BNT/general/dispcpt.m, BNT/general/linear_gaussian_to_cpot.m, + BNT/general/partition_matrix_vec_3.m, + BNT/general/shrink_obs_dims_in_gaussian.m, + BNT/general/shrink_obs_dims_in_table.m, + BNT/potentials/CPD_to_pot.m, BNT/potentials/README, + BNT/potentials/check_for_cd_arcs.m, + BNT/potentials/determine_pot_type.m, + BNT/potentials/mk_initial_pot.m, + BNT/potentials/@cgpot/cg_can_to_mom.m, + BNT/potentials/@cgpot/cg_mom_to_can.m, + BNT/potentials/@cgpot/cgpot.m, BNT/potentials/@cgpot/display.m, + BNT/potentials/@cgpot/divide_by_pot.m, + BNT/potentials/@cgpot/domain_pot.m, + BNT/potentials/@cgpot/enter_cts_evidence_pot.m, + BNT/potentials/@cgpot/enter_discrete_evidence_pot.m, + BNT/potentials/@cgpot/marginalize_pot.m, + BNT/potentials/@cgpot/multiply_by_pot.m, + BNT/potentials/@cgpot/multiply_pots.m, + BNT/potentials/@cgpot/normalize_pot.m, + BNT/potentials/@cgpot/pot_to_marginal.m, + BNT/potentials/@cgpot/Old/normalize_pot.m, + BNT/potentials/@cgpot/Old/simple_marginalize_pot.m, + BNT/potentials/@cpot/cpot.m, BNT/potentials/@cpot/cpot_to_mpot.m, + BNT/potentials/@cpot/display.m, + BNT/potentials/@cpot/divide_by_pot.m, + BNT/potentials/@cpot/domain_pot.m, + BNT/potentials/@cpot/enter_cts_evidence_pot.m, + BNT/potentials/@cpot/marginalize_pot.m, + BNT/potentials/@cpot/multiply_by_pot.m, + BNT/potentials/@cpot/multiply_pots.m, + BNT/potentials/@cpot/normalize_pot.m, + BNT/potentials/@cpot/pot_to_marginal.m, + BNT/potentials/@cpot/rescale_pot.m, + BNT/potentials/@cpot/set_domain_pot.m, + BNT/potentials/@cpot/Old/cpot_to_mpot.m, + BNT/potentials/@cpot/Old/normalize_pot.convert.m, + BNT/potentials/@dpot/approxeq_pot.m, + BNT/potentials/@dpot/display.m, + BNT/potentials/@dpot/domain_pot.m, + BNT/potentials/@dpot/dpot_to_table.m, + BNT/potentials/@dpot/get_fields.m, + BNT/potentials/@dpot/multiply_pots.m, + BNT/potentials/@dpot/pot_to_marginal.m, + BNT/potentials/@dpot/set_domain_pot.m, + BNT/potentials/@mpot/display.m, + BNT/potentials/@mpot/marginalize_pot.m, + BNT/potentials/@mpot/mpot.m, BNT/potentials/@mpot/mpot_to_cpot.m, + BNT/potentials/@mpot/normalize_pot.m, + BNT/potentials/@mpot/pot_to_marginal.m, + BNT/potentials/@mpot/rescale_pot.m, + BNT/potentials/@upot/approxeq_pot.m, + BNT/potentials/@upot/display.m, + BNT/potentials/@upot/divide_by_pot.m, + BNT/potentials/@upot/marginalize_pot.m, + BNT/potentials/@upot/multiply_by_pot.m, + BNT/potentials/@upot/normalize_pot.m, + BNT/potentials/@upot/pot_to_marginal.m, + BNT/potentials/@upot/upot.m, + BNT/potentials/@upot/upot_to_opt_policy.m, + BNT/potentials/Old/comp_eff_node_sizes.m, + BNT/potentials/Tables/divide_by_sparse_table.c, + BNT/potentials/Tables/divide_by_table.c, + BNT/potentials/Tables/marg_sparse_table.c, + BNT/potentials/Tables/marg_table.c, + BNT/potentials/Tables/mult_by_sparse_table.c, + BNT/potentials/Tables/rep_mult.c, HMM/mk_leftright_transmat.m: + Initial revision + +2002-05-29 04:59 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/: + clq_containing_nodes.m, problems.txt, push_pot_toclique.m, + Old/initialize_engine.m: Initial import of code base from Kevin + Murphy. + +2002-05-29 04:59 yozhik + + * BNT/inference/static/@stab_cond_gauss_inf_engine/: + clq_containing_nodes.m, problems.txt, push_pot_toclique.m, + Old/initialize_engine.m: Initial revision + +2002-05-19 15:11 yozhik + + * BNT/potentials/: @scgcpot/marginalize_pot.m, + @scgcpot/normalize_pot.m, @scgcpot/rescale_pot.m, + @scgcpot/scgcpot.m, @scgpot/direct_combine_pots.m, + @scgpot/pot_to_marginal.m: Initial import of code base from Kevin + Murphy. + +2002-05-19 15:11 yozhik + + * BNT/potentials/: @scgcpot/marginalize_pot.m, + @scgcpot/normalize_pot.m, @scgcpot/rescale_pot.m, + @scgcpot/scgcpot.m, @scgpot/direct_combine_pots.m, + @scgpot/pot_to_marginal.m: Initial revision + +2001-07-28 08:43 yozhik + + * BNT/potentials/genops.c: Initial import of code base from Kevin + Murphy. + +2001-07-28 08:43 yozhik + + * BNT/potentials/genops.c: Initial revision + diff --git a/sourcecodes/bnt-master/docs/Eqns/lin_reg_eqn.gif b/sourcecodes/bnt-master/docs/Eqns/lin_reg_eqn.gif new file mode 100644 index 00000000..6ba3fda5 Binary 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+%%CreationDate: (Tue Nov 16 19:51:50 2004) +%%BoundingBox: 0 0 131 161 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + /Times-Roman findfont pointsize scalefont setfont + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt 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+ffffe0ffffffffffffffffffffffffffffffffe0ffffffffffffffffffffffffffffffff +e0 +end +%%PageTrailer +%%Trailer +%%EOF diff --git a/sourcecodes/bnt-master/docs/Figures/fa.fig b/sourcecodes/bnt-master/docs/Figures/fa.fig new file mode 100644 index 00000000..db4bec4a --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa.fig @@ -0,0 +1,16 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 900 1950 300 225 900 1950 1200 2175 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 900 825 300 225 900 825 1200 1050 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 1125 900 1650 +4 0 -1 0 0 0 12 0.0000 4 135 135 825 900 X\001 +4 0 -1 0 0 0 12 0.0000 4 135 135 825 2025 Y\001 diff --git a/sourcecodes/bnt-master/docs/Figures/fa.gif b/sourcecodes/bnt-master/docs/Figures/fa.gif new file mode 100644 index 00000000..420c1517 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/fa.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/fa_caption.fig b/sourcecodes/bnt-master/docs/Figures/fa_caption.fig new file mode 100644 index 00000000..71cd37f2 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_caption.fig @@ -0,0 +1,13 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 900 1950 300 225 900 1950 1200 2175 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 900 825 300 225 900 825 1200 1050 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 1125 900 1650 +4 0 -1 0 0 0 12 0.0000 4 135 135 750 2025 Y\001 +4 0 -1 0 0 0 12 0.0000 4 135 120 750 900 X\001 +4 0 -1 0 0 0 12 0.0000 4 180 1620 300 2625 Factor Analysis/PCA\001 diff --git a/sourcecodes/bnt-master/docs/Figures/fa_discrete.fig b/sourcecodes/bnt-master/docs/Figures/fa_discrete.fig new file mode 100644 index 00000000..b5be4ca5 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_discrete.fig @@ -0,0 +1,43 @@ +#FIG 3.2 +Portrait +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 975 600 300 225 975 600 1275 825 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 2100 600 300 225 2100 600 2400 825 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 825 525 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 825 1425 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2025 825 600 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2025 825 1425 1425 +2 2 0 1 -1 0 0 0 2 0.000 0 0 7 0 0 5 + 300 1425 750 1425 750 1875 300 1875 300 1425 +2 2 0 1 -1 0 0 0 2 0.000 0 0 7 0 0 5 + 1275 1425 1725 1425 1725 1875 1275 1875 1275 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 825 3000 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2025 825 3000 1425 +2 2 0 1 0 0 100 0 2 3.000 0 0 7 0 0 5 + 2775 1425 3225 1425 3225 1875 2775 1875 2775 1425 +4 0 -1 0 0 0 24 0.0000 4 30 270 1350 750 ...\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 1350 1725 R2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 825 675 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1950 675 Xn\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 375 1725 R1\001 +4 0 -1 0 0 0 12 0.0000 4 180 1920 600 2325 Discrete Factor Analysis\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 2100 1650 ...\001 +4 0 0 100 0 -1 12 0.0000 4 135 210 2850 1725 Rn\001 diff --git a/sourcecodes/bnt-master/docs/Figures/fa_discrete.gif b/sourcecodes/bnt-master/docs/Figures/fa_discrete.gif new file mode 100644 index 00000000..54a8bbfb Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/fa_discrete.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/fa_discrete_single.fig b/sourcecodes/bnt-master/docs/Figures/fa_discrete_single.fig new file mode 100644 index 00000000..225a741c --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_discrete_single.fig @@ -0,0 +1,18 @@ +#FIG 3.2 +Portrait +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 1 0 1 0 7 100 0 -1 0.000 1 0.0000 825 375 300 225 825 375 1125 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 600 825 1275 +2 2 0 1 0 0 100 0 2 0.000 0 0 7 0 0 5 + 600 1275 975 1275 975 1725 600 1725 600 1275 +4 0 -1 0 0 0 12 0.0000 4 135 120 750 1575 R\001 +4 0 -1 0 0 0 12 0.0000 4 135 135 750 450 X\001 +4 0 0 100 0 0 12 0.0000 4 180 1785 300 2025 discrete factor analysis\001 diff --git a/sourcecodes/bnt-master/docs/Figures/fa_regular.fig b/sourcecodes/bnt-master/docs/Figures/fa_regular.fig new file mode 100644 index 00000000..db30e0a0 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_regular.fig @@ -0,0 +1,36 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 225 300 3450 3150 +1 3 0 1 -1 7 0 0 -1 0.000 1 0.0000 999 1082 335 335 999 1082 1149 1382 +1 3 0 1 -1 7 0 0 -1 0.000 1 0.0000 2124 1082 335 335 2124 1082 2274 1382 +1 3 0 1 -1 0 0 0 2 0.000 1 0.0000 624 2807 335 335 624 2807 774 3107 +1 3 0 1 -1 0 0 0 2 0.000 1 0.0000 1674 2807 335 335 1674 2807 1824 3107 +1 3 0 1 -1 0 0 0 2 0.000 1 0.0000 2874 2807 335 335 2874 2807 3024 3107 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 1425 675 2475 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 975 1425 1575 2400 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 975 1425 2775 2475 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 1425 750 2475 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 1425 1650 2325 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 1425 2775 2400 +4 0 -1 0 0 0 24 0.0000 4 330 3225 225 600 regular factor analysis\001 +-6 +4 0 -1 0 0 0 12 0.0000 4 135 210 825 1200 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 1950 1200 X2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 525 2925 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1500 2850 Y2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 2700 2850 Y3\001 diff --git a/sourcecodes/bnt-master/docs/Figures/fa_regular.gif b/sourcecodes/bnt-master/docs/Figures/fa_regular.gif new file mode 100644 index 00000000..bb506a59 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/fa_regular.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/fa_scalar.eps b/sourcecodes/bnt-master/docs/Figures/fa_scalar.eps new file mode 100644 index 00000000..ccdc01cc --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_scalar.eps @@ -0,0 +1,414 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (fa_scalar.eps) +%%CreationDate: (Tue Nov 16 19:52:00 2004) +%%BoundingBox: 0 0 246 156 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. 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1 -1 -1 0 0 -1 0.000 1 0.0000 2475 600 300 225 2475 600 2775 825 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 600 1650 300 225 600 1650 900 1875 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 3315 1654 300 225 3315 1654 3615 1879 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1575 1650 300 225 1575 1650 1875 1875 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 825 600 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1200 750 3075 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2400 825 750 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2625 825 3225 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 825 1425 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2400 825 1650 1350 +4 0 -1 0 0 0 12 0.0000 4 135 225 900 675 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 2325 675 Xn\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 450 1725 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 270 3150 1725 Ym\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 1575 750 ...\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1425 1725 Y2\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 2175 1650 ...\001 +-6 diff --git a/sourcecodes/bnt-master/docs/Figures/fa_scalar.gif b/sourcecodes/bnt-master/docs/Figures/fa_scalar.gif new file mode 100644 index 00000000..5e5a2598 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/fa_scalar.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/fa_scalar_caption.fig b/sourcecodes/bnt-master/docs/Figures/fa_scalar_caption.fig new file mode 100644 index 00000000..0862b150 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/fa_scalar_caption.fig @@ -0,0 +1,38 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 300 375 3675 1950 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 975 600 300 225 975 600 1275 825 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 2475 600 300 225 2475 600 2775 825 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 600 1650 300 225 600 1650 900 1875 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 3315 1654 300 225 3315 1654 3615 1879 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1575 1650 300 225 1575 1650 1875 1875 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 825 600 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1200 750 3075 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2400 825 750 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2625 825 3225 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 825 1425 1425 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2400 825 1650 1350 +4 0 -1 0 0 0 12 0.0000 4 135 210 900 675 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 2325 675 Xn\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 450 1725 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 270 3150 1725 Ym\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 1575 750 ...\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1425 1725 Y2\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 2175 1650 ...\001 +-6 +4 0 -1 0 0 0 12 0.0000 4 180 1170 1200 2325 Factor analysis\001 diff --git a/sourcecodes/bnt-master/docs/Figures/factorial_hmm3.fig b/sourcecodes/bnt-master/docs/Figures/factorial_hmm3.fig new file mode 100644 index 00000000..a42ed6bb --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/factorial_hmm3.fig @@ -0,0 +1,81 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 2587.500 3637.500 1500 2775 1200 3675 1500 4500 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 2772.051 3261.376 1500 1875 900 3450 1425 4575 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 5962.500 3637.500 4875 2775 4575 3675 4875 4500 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 4162.500 3637.500 3075 2775 2775 3675 3075 4500 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 4347.051 3261.376 3075 1875 2475 3450 3000 4575 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 0 100 0 -1 0.000 0 1 1 0 6147.051 3261.376 4875 1875 4275 3450 4800 4575 + 0 0 1.00 60.00 120.00 +6 1425 4350 2100 4875 +1 1 0 1 0 0 100 0 5 0.000 1 0.0000 1749 4596 300 225 1749 4596 2049 4821 +4 0 0 100 0 0 20 0.0000 4 195 345 1575 4725 Y1\001 +-6 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1770 3645 300 225 1770 3645 2070 3870 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 3420 3645 300 225 3420 3645 3720 3870 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 5220 3645 300 225 5220 3645 5520 3870 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1770 2745 300 225 1770 2745 2070 2970 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 3420 2745 300 225 3420 2745 3720 2970 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 5220 2745 300 225 5220 2745 5520 2970 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 5220 1845 300 225 5220 1845 5520 2070 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 3420 1845 300 225 3420 1845 3720 2070 +1 1 0 1 0 7 100 0 -1 0.000 1 0.0000 1770 1845 300 225 1770 1845 2070 2070 +1 1 0 1 0 0 100 0 5 0.000 1 0.0000 3399 4596 300 225 3399 4596 3699 4821 +1 1 0 1 0 0 100 0 5 0.000 1 0.0000 5199 4521 300 225 5199 4521 5499 4746 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 0 0 1 + 4200 4200 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2100 3600 3150 3600 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3750 3600 4950 3600 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 0 0 1 + 4200 3300 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2100 2700 3150 2700 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3750 2700 4950 2700 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 0 0 1 + 4200 2400 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2100 1800 3150 1800 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3750 1800 4950 1800 +2 1 0 1 0 0 100 0 5 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1725 3900 1725 4350 +2 1 0 1 0 0 100 0 5 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 5175 3825 5175 4275 +2 1 0 1 0 0 100 0 5 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3450 3900 3450 4350 +4 0 0 100 0 0 20 0.0000 4 195 345 1575 1950 A1\001 +4 0 0 100 0 0 20 0.0000 4 195 330 1575 2850 B1\001 +4 0 0 100 0 0 20 0.0000 4 195 330 1575 3750 C1\001 +4 0 0 100 0 0 20 0.0000 4 195 345 3225 1950 A2\001 +4 0 0 100 0 0 20 0.0000 4 195 330 3225 2850 B2\001 +4 0 0 100 0 0 20 0.0000 4 195 330 3225 3750 C2\001 +4 0 0 100 0 0 20 0.0000 4 195 345 5025 1950 A3\001 +4 0 0 100 0 0 20 0.0000 4 195 330 5025 2850 B3\001 +4 0 0 100 0 0 20 0.0000 4 195 330 5025 3750 C3\001 +4 0 0 100 0 0 30 0.0000 4 30 525 6375 3000 . . .\001 +4 0 0 100 0 0 20 0.0000 4 195 345 3225 4725 Y2\001 +4 0 0 100 0 0 20 0.0000 4 195 345 5025 4650 Y3\001 diff --git a/sourcecodes/bnt-master/docs/Figures/filter.eps b/sourcecodes/bnt-master/docs/Figures/filter.eps new file mode 100644 index 00000000..27fd6ced --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/filter.eps @@ -0,0 +1,9861 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (filter.eps) +%%CreationDate: (Tue Nov 16 20:04:33 2004) +%%BoundingBox: 0 0 657 525 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + /Times-Roman findfont pointsize scalefont setfont + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt { PseudoClassImage } { DirectClassImage } ifelse + grestore +} bind def +%%EndProlog +%%Page: 1 1 +%%PageBoundingBox: 0 0 657 525 +userdict begin +DisplayImage +0 0 +657 525 +12.000000 +657 525 +1 +1 +1 +8 +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 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+ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffff +end +%%PageTrailer +%%Trailer +%%EOF diff --git a/sourcecodes/bnt-master/docs/Figures/filter.fig b/sourcecodes/bnt-master/docs/Figures/filter.fig new file mode 100644 index 00000000..4e125ccf --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/filter.fig @@ -0,0 +1,74 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +6 2550 5100 6300 6375 +2 2 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 5 + 2550 5475 4050 5475 4050 5775 2550 5775 2550 5475 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 2 + 4050 5475 6300 5475 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3300 6375 3300 5925 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 1 2 + 0 0 1.00 60.00 120.00 + 0 0 1.00 60.00 120.00 + 3450 6225 4050 6225 +4 0 0 100 0 0 18 0.0000 4 165 90 4050 5325 t\001 +4 0 0 100 0 0 18 0.0000 4 165 345 3600 6075 tau\001 +-6 +2 2 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 5 + 2550 2025 4050 2025 4050 2325 2550 2325 2550 2025 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 2 + 4050 2025 6300 2025 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 4050 2925 4050 2475 +2 2 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 5 + 2550 7200 6375 7200 6375 7500 2550 7500 2550 7200 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3975 8025 3975 7575 +2 2 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 5 + 2475 3525 3975 3525 3975 3825 2475 3825 2475 3525 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 2 + 3975 3525 6225 3525 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 1 2 + 0 0 1.00 60.00 120.00 + 0 0 1.00 60.00 120.00 + 3975 4275 4575 4275 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 4650 4425 4650 3975 +2 2 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 5 + 2550 600 4050 600 4050 900 2550 900 2550 600 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 0 0 2 + 4050 600 6300 600 +2 1 0 1 0 0 100 0 10 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 4050 1500 4050 1050 +4 0 0 100 0 0 18 0.0000 4 165 90 4050 1875 t\001 +4 0 0 50 0 0 24 0.0000 4 330 3540 6675 2175 argmax P(x(1:t) | y(1:t))\001 +4 0 0 50 0 0 24 0.0000 4 330 810 6975 2550 x(1:t)\001 +4 0 0 100 0 0 18 0.0000 4 165 90 3975 7125 t\001 +4 0 0 100 0 0 18 0.0000 4 195 180 6225 7125 T\001 +4 0 0 100 0 0 18 0.0000 4 165 90 3975 3375 t\001 +4 0 0 100 0 0 18 0.0000 4 195 540 3975 4125 delta\001 +4 0 0 100 0 0 18 0.0000 4 165 90 4050 450 t\001 +4 0 0 50 0 0 24 0.0000 4 330 1950 6675 750 P(X(t)|y(1:t))\001 +4 0 0 50 0 0 24 0.0000 4 330 2865 6450 3600 P(X(t+delta)|y(1:t))\001 +4 0 0 50 0 0 24 0.0000 4 330 2550 6600 5550 P(X(t-tau)|y(1:t))\001 +4 0 0 50 0 0 24 0.0000 4 330 2085 6750 7425 P(X(t)|y(1:T))\001 +4 0 0 50 0 0 24 0.0000 4 330 1140 600 900 filtering\001 +4 0 0 50 0 0 24 0.0000 4 330 1470 450 3750 prediction\001 +4 0 0 50 0 0 24 0.0000 4 255 1005 600 2175 Viterbi\001 +4 0 0 50 0 0 24 0.0000 4 330 1305 600 5775 fixed-lag\001 +4 0 0 50 0 0 24 0.0000 4 330 1575 525 7740 smoothing\001 +4 0 0 50 0 0 24 0.0000 4 330 1170 525 8055 (offline)\001 +4 0 0 50 0 0 24 0.0000 4 330 1575 600 6090 smoothing\001 +4 0 0 50 0 0 24 0.0000 4 255 1920 525 7425 fixed interval\001 diff --git a/sourcecodes/bnt-master/docs/Figures/filter.gif b/sourcecodes/bnt-master/docs/Figures/filter.gif new file mode 100644 index 00000000..bda3de61 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/filter.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/filter.tex b/sourcecodes/bnt-master/docs/Figures/filter.tex new file mode 100644 index 00000000..871f8dfd --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/filter.tex @@ -0,0 +1,51 @@ +%Latex +\documentstyle[fleqn,psfig,12pt,pstricks,pst-node,pst-tree]{article} + +%\documentclass[fleqn,12pt]{article} +%\usepackage{pstricks,pst-node,pst-tree} + +%latex2e +%\documentclass{article} +%\usepackage{epsfig,alltt,fancybox} + +\setlength{\textwidth}{6.5in} +\setlength{\oddsidemargin}{0in} +\setlength{\textheight}{8.5in} +\setlength{\headheight}{0in} +\setlength{\headsep}{-0.5in} +\setlength{\parindent}{0in} % block style +\setlength{\parskip}{0.3cm} + +\newcommand{\mytitle}[1]{\newpage \huge \begin{center}#1\vspace{0.8cm}\end{center} \LARGE} + + +\begin{document} + +\mytitle{Hello world} + +Hello world + +\centering +$ +\pstree[treemode=R]{\Tcircle{b}}{% + \pstree{\TC*^{a_1}}{% + \Tr{b_{11}}^{x_1} + \Tr{b_{12}}_{x_2} + } + \pstree{\TC*_{a_2}}{% + \Tr{b_{21}}^{x_1} + \Tr{b_{22}}_{x_2} + } +} +$ + + + +\mytitle{Hello world 2} + +\psline[linewidth=0.5cm](0,0)(2,0) +\psline[linewidth=0.05cm](2,-1)(6,-1) + + + +\end{document} diff --git a/sourcecodes/bnt-master/docs/Figures/gaussplot.png b/sourcecodes/bnt-master/docs/Figures/gaussplot.png new file mode 100644 index 00000000..29cb66ec Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/gaussplot.png differ diff --git a/sourcecodes/bnt-master/docs/Figures/hme.fig b/sourcecodes/bnt-master/docs/Figures/hme.fig new file mode 100644 index 00000000..dffda256 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hme.fig @@ -0,0 +1,35 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 225 150 2625 3825 +6 300 150 1800 3450 +5 1 0 1 -1 -1 0 0 -1 0.000 0 1 1 0 2212.500 2250.000 825 1425 600 2325 825 3075 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 -1 0 0 -1 0.000 0 1 1 0 3083.468 1905.242 750 525 375 2025 675 3150 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 -1 0 0 -1 0.000 0 0 1 0 679.747 1409.810 1200 450 1725 1725 1275 2325 + 0 0 1.00 60.00 120.00 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 975 375 300 225 975 375 1275 600 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1050 3225 300 225 1050 3225 1350 3450 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 825 1050 1200 1050 1200 1500 825 1500 825 1050 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 825 2100 1200 2100 1200 2550 825 2550 825 2100 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 600 1050 1050 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 1575 1050 2100 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 2625 1050 3000 +-6 +4 0 -1 0 0 0 12 0.0000 4 180 2370 225 3750 Hierarchical Mixture of Experts\001 +4 0 -1 0 0 0 12 0.0000 4 135 120 825 450 X\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 900 1350 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 900 2400 Q2\001 +4 0 -1 0 0 0 12 0.0000 4 135 135 900 3300 Y\001 +-6 diff --git a/sourcecodes/bnt-master/docs/Figures/hme.gif b/sourcecodes/bnt-master/docs/Figures/hme.gif new file mode 100644 index 00000000..85150fbb Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hme.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.gif b/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.gif new file mode 100644 index 00000000..15cd6b1d Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.png b/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.png new file mode 100644 index 00000000..a12cb885 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hme_dec_boundary.png differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm3.fig b/sourcecodes/bnt-master/docs/Figures/hmm3.fig new file mode 100644 index 00000000..61578c4e --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm3.fig @@ -0,0 +1,39 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 525 1650 270 270 525 1650 675 1875 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 1575 1650 270 270 1575 1650 1725 1875 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 2625 1650 270 270 2625 1650 2775 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 375 600 750 600 750 1050 375 1050 375 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 1050 525 1425 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 825 1350 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1425 600 1800 600 1800 1050 1425 1050 1425 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 1050 1575 1425 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1800 825 2325 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2400 600 2775 600 2775 1050 2400 1050 2400 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 1050 2550 1425 +4 0 0 100 0 2 12 0.0000 4 135 90 525 975 1\001 +4 0 0 100 0 2 12 0.0000 4 135 90 1575 975 3\001 +4 0 0 100 0 2 12 0.0000 4 135 90 2475 900 5\001 +4 0 0 100 0 2 12 0.0000 4 135 90 450 1725 2\001 +4 0 0 100 0 2 12 0.0000 4 135 90 1425 1725 4\001 +4 0 0 100 0 2 12 0.0000 4 135 90 2550 1725 6\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm3.gif b/sourcecodes/bnt-master/docs/Figures/hmm3.gif new file mode 100644 index 00000000..05a6f592 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm3.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm3letter.fig b/sourcecodes/bnt-master/docs/Figures/hmm3letter.fig new file mode 100644 index 00000000..3a190045 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm3letter.fig @@ -0,0 +1,39 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 525 1650 270 270 525 1650 675 1875 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 1575 1650 270 270 1575 1650 1725 1875 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 2625 1650 270 270 2625 1650 2775 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 375 600 750 600 750 1050 375 1050 375 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 1050 525 1425 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 825 1350 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1425 600 1800 600 1800 1050 1425 1050 1425 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 1050 1575 1425 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1800 825 2325 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2400 600 2775 600 2775 1050 2400 1050 2400 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 1050 2550 1425 +4 0 0 100 0 0 12 0.0000 4 135 225 450 1725 Y1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1425 1725 Y2\001 +4 0 0 100 0 0 12 0.0000 4 135 225 2475 1725 Y3\001 +4 0 0 100 0 0 12 0.0000 4 135 225 450 900 X1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 2475 900 X3\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1500 900 X2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm3letter.gif b/sourcecodes/bnt-master/docs/Figures/hmm3letter.gif new file mode 100644 index 00000000..540fb75b Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm3letter.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm3letter.jpg b/sourcecodes/bnt-master/docs/Figures/hmm3letter.jpg new file mode 100644 index 00000000..29695dfd Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm3letter.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4.fig b/sourcecodes/bnt-master/docs/Figures/hmm4.fig new file mode 100644 index 00000000..92066fb9 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm4.fig @@ -0,0 +1,55 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +1 3 0 2 0 7 50 0 -1 0.000 1 0.0000 600 1200 300 300 600 1200 900 1200 +1 3 0 2 0 7 50 0 -1 0.000 1 0.0000 1800 1200 300 300 1800 1200 2100 1200 +1 3 0 2 0 7 50 0 -1 0.000 1 0.0000 3000 1200 300 300 3000 1200 3300 1200 +1 3 0 2 0 7 50 0 -1 0.000 1 0.0000 4200 1200 300 300 4200 1200 4500 1200 +1 3 0 2 0 0 50 0 7 0.000 1 0.0000 600 2400 300 300 600 2400 900 2400 +1 3 0 2 0 0 50 0 7 0.000 1 0.0000 3000 2400 300 300 3000 2400 3300 2400 +1 3 0 2 0 0 50 0 7 0.000 1 0.0000 4200 2400 300 300 4200 2400 4500 2400 +1 3 0 2 0 0 50 0 7 0.000 1 0.0000 1800 2400 300 300 1800 2400 2100 2400 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 600 1500 600 2100 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 900 1200 1500 1200 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 2100 1200 2700 1200 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 3375 1200 3900 1200 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 1800 1500 1800 2100 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 3000 1500 3000 2100 +2 1 0 2 0 0 50 0 7 0.000 0 0 -1 1 0 2 + 1 1 2.00 120.00 240.00 + 4200 1500 4200 2100 +4 0 0 100 0 0 30 0.0000 4 60 600 5025 1200 . . .\001 +4 0 0 50 0 0 24 0.0000 4 255 270 450 1275 X\001 +4 0 0 50 0 0 24 0.0000 4 255 270 1650 1275 X\001 +4 0 0 50 0 0 24 0.0000 4 255 270 2850 1275 X\001 +4 0 0 50 0 0 24 0.0000 4 255 240 450 2475 Y\001 +4 0 0 50 0 0 24 0.0000 4 255 240 2850 2475 Y\001 +4 0 0 50 0 0 24 0.0000 4 255 240 4050 2475 Y\001 +4 0 0 50 0 0 24 0.0000 4 255 180 675 1425 1\001 +4 0 0 50 0 0 24 0.0000 4 255 180 1875 1350 2\001 +4 0 0 50 0 0 24 0.0000 4 255 180 3075 1350 3\001 +4 0 0 50 0 0 24 0.0000 4 255 180 4275 1425 4\001 +4 0 0 50 0 0 24 0.0000 4 255 180 600 2550 1\001 +4 0 0 50 0 0 24 0.0000 4 255 180 3000 2550 3\001 +4 0 0 50 0 0 24 0.0000 4 255 180 4200 2550 4\001 +4 0 0 50 0 0 24 0.0000 4 255 270 4050 1275 X\001 +4 0 0 50 0 0 24 0.0000 4 255 180 1800 2625 2\001 +4 0 0 50 0 0 24 0.0000 4 255 240 1650 2475 Y\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4.gif b/sourcecodes/bnt-master/docs/Figures/hmm4.gif new file mode 100644 index 00000000..336bc5d6 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm4.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4_params.fig b/sourcecodes/bnt-master/docs/Figures/hmm4_params.fig new file mode 100644 index 00000000..b254e1e5 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm4_params.fig @@ -0,0 +1,81 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 3150 2550 270 270 3150 2550 3300 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 3975 2550 270 270 3975 2550 4125 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 1350 2550 270 270 1350 2550 1500 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 2250 2550 270 270 2250 2550 2400 2775 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 2625 3825 270 270 2625 3825 2775 4050 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 1425 600 270 270 1425 600 1575 825 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 3000 600 270 270 3000 600 3150 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2925 1500 3300 1500 3300 1950 2925 1950 2925 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3075 1950 3075 2325 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 3750 1500 4125 1500 4125 1950 3750 1950 3750 1500 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3300 1725 3750 1725 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3975 1950 3975 2250 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 1725 2100 1725 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2475 1725 2925 1725 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1200 1500 1575 1500 1575 1950 1200 1950 1200 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1350 1950 1350 2325 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2100 1500 2475 1500 2475 1950 2100 1950 2100 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2250 1950 2250 2325 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2475 3600 1500 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 3600 2400 2850 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2700 3525 3075 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2850 3675 3825 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1425 900 1425 1500 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2925 900 2400 1500 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3075 900 3075 1425 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3225 750 3900 1500 +4 0 0 100 0 0 12 0.0000 4 135 225 3000 2625 Y3\001 +4 0 0 100 0 0 12 0.0000 4 165 225 3825 1800 Q4\001 +4 0 0 100 0 0 12 0.0000 4 165 225 3000 1800 Q3\001 +4 0 0 100 0 0 12 0.0000 4 135 225 3825 2625 Y4\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1275 2625 Y1\001 +4 0 0 100 0 0 12 0.0000 4 165 225 1275 1800 Q1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 2100 2625 Y2\001 +4 0 0 100 0 0 12 0.0000 4 165 225 2175 1800 Q2\001 +4 0 0 100 0 0 12 0.0000 4 135 195 1275 675 P1\001 +4 0 0 100 0 0 12 0.0000 4 135 195 2850 675 P2\001 +4 0 0 100 0 0 12 0.0000 4 135 195 2550 3900 P3\001 +4 0 0 100 0 0 30 0.0000 4 30 525 4350 1800 . . .\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4_params.gif b/sourcecodes/bnt-master/docs/Figures/hmm4_params.gif new file mode 100644 index 00000000..656bc13f Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm4_params.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4_paramsX.fig b/sourcecodes/bnt-master/docs/Figures/hmm4_paramsX.fig new file mode 100644 index 00000000..5deec7e1 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm4_paramsX.fig @@ -0,0 +1,81 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 3150 2550 270 270 3150 2550 3300 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 3975 2550 270 270 3975 2550 4125 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 1350 2550 270 270 1350 2550 1500 2775 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 2250 2550 270 270 2250 2550 2400 2775 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 1425 600 270 270 1425 600 1575 825 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 3000 600 270 270 3000 600 3150 825 +1 3 1 1 0 7 100 0 -1 4.000 1 0.0000 2615 3863 270 270 2615 3863 2765 4088 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2925 1500 3300 1500 3300 1950 2925 1950 2925 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3075 1950 3075 2325 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 3750 1500 4125 1500 4125 1950 3750 1950 3750 1500 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3300 1725 3750 1725 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3975 1950 3975 2250 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 1725 2100 1725 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2475 1725 2925 1725 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1200 1500 1575 1500 1575 1950 1200 1950 1200 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1350 1950 1350 2325 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2100 1500 2475 1500 2475 1950 2100 1950 2100 1500 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2250 1950 2250 2325 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2475 3600 1500 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 3600 2400 2850 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2700 3525 3075 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2850 3675 3825 2775 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1425 900 1425 1500 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2925 900 2400 1500 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3075 900 3075 1425 +2 1 1 1 0 7 100 0 -1 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3225 750 3900 1500 +4 0 0 100 0 0 12 0.0000 4 135 225 3000 2625 Y3\001 +4 0 0 100 0 0 12 0.0000 4 135 225 3825 2625 Y4\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1275 2625 Y1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 2100 2625 Y2\001 +4 0 0 100 0 0 30 0.0000 4 60 600 4350 1800 . . .\001 +4 0 0 50 0 0 12 0.0000 4 135 225 1275 1800 X1\001 +4 0 0 50 0 0 12 0.0000 4 135 225 2175 1800 X2\001 +4 0 0 50 0 0 12 0.0000 4 135 225 3000 1800 X3\001 +4 0 0 50 0 0 12 0.0000 4 135 225 3825 1800 X4\001 +4 0 0 50 0 0 18 0.0000 4 195 180 2550 3975 B\001 +4 0 0 50 0 0 18 0.0000 4 255 210 1275 750 pi\001 +4 0 0 50 0 0 18 0.0000 4 195 225 2850 750 A\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm4_square.fig b/sourcecodes/bnt-master/docs/Figures/hmm4_square.fig new file mode 100644 index 00000000..9f0226f0 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm4_square.fig @@ -0,0 +1,55 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +6 1425 600 2025 1950 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 1725 1650 270 270 1725 1650 1875 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1575 600 1950 600 1950 1050 1575 1050 1575 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1725 1050 1725 1425 +4 0 0 100 0 0 12 0.0000 4 135 225 1575 1725 Y2\001 +4 0 0 100 0 0 12 0.0000 4 165 225 1650 900 Q2\001 +-6 +6 525 600 1125 1950 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 825 1650 270 270 825 1650 975 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 675 600 1050 600 1050 1050 675 1050 675 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 1050 825 1425 +4 0 0 100 0 0 12 0.0000 4 135 225 750 1725 Y1\001 +4 0 0 100 0 0 12 0.0000 4 165 225 750 900 Q1\001 +-6 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 2625 1650 270 270 2625 1650 2775 1875 +1 3 0 1 0 0 100 0 2 0.000 1 0.0000 3450 1650 270 270 3450 1650 3600 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2400 600 2775 600 2775 1050 2400 1050 2400 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 1050 2550 1425 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 3225 600 3600 600 3600 1050 3225 1050 3225 600 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2775 825 3225 825 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3450 1050 3450 1350 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 825 1575 825 +2 1 0 1 0 0 100 0 20 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 825 2400 825 +4 0 0 100 0 0 12 0.0000 4 135 225 2475 1725 Y3\001 +4 0 0 100 0 0 12 0.0000 4 165 225 3300 900 Q4\001 +4 0 0 100 0 0 12 0.0000 4 165 225 2475 900 Q3\001 +4 0 0 100 0 0 12 0.0000 4 135 225 3300 1725 Y4\001 +4 0 0 100 0 0 30 0.0000 4 30 525 3825 975 . . .\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_ar.fig b/sourcecodes/bnt-master/docs/Figures/hmm_ar.fig new file mode 100644 index 00000000..8aefe002 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_ar.fig @@ -0,0 +1,30 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 225 225 2025 1875 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 525 1275 300 225 525 1275 825 1500 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1575 1275 300 225 1575 1275 1875 1500 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 450 1350 450 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 375 225 750 225 750 675 375 675 375 225 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 675 525 1050 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1425 225 1800 225 1800 675 1425 675 1425 225 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 675 1575 1050 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 1275 1275 1275 +4 0 -1 0 0 0 12 0.0000 4 165 225 450 525 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 1500 525 Q2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 375 1350 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1425 1350 Y2\001 +4 0 -1 0 0 0 12 0.0000 4 180 1785 225 1800 Auto Regressive HMM\001 +-6 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_ar.gif b/sourcecodes/bnt-master/docs/Figures/hmm_ar.gif new file mode 100644 index 00000000..57d57c4d Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_ar.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_coupled.fig b/sourcecodes/bnt-master/docs/Figures/hmm_coupled.fig new file mode 100644 index 00000000..6eab0030 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_coupled.fig @@ -0,0 +1,65 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +6 300 225 1950 675 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 600 450 300 225 600 450 900 675 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1650 450 300 225 1650 450 1950 675 +-6 +6 450 1875 1875 2325 +6 450 1875 1875 2325 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 2100 1425 2100 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 450 1875 825 1875 825 2325 450 2325 450 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1500 1875 1875 1875 1875 2325 1500 2325 1500 1875 +-6 +-6 +6 450 1050 1875 1500 +6 450 1050 1875 1500 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 1275 1425 1275 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 450 1050 825 1050 825 1500 450 1500 450 1050 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1500 1050 1875 1050 1875 1500 1500 1500 1500 1050 +-6 +-6 +6 300 2700 1950 3150 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 600 2925 300 225 600 2925 900 3150 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1650 2925 300 225 1650 2925 1950 3150 +-6 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 600 2325 600 2700 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1650 2325 1650 2700 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 600 1050 600 675 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1650 1050 1650 675 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 2100 1425 1350 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 900 1275 1350 2025 +4 0 -1 0 0 0 12 0.0000 4 135 210 450 525 C1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 525 1350 A1\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 525 2175 B1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 450 3000 D1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1500 3075 D2\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 1500 525 C2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1575 1350 A2\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 1575 2175 B2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_coupled.gif b/sourcecodes/bnt-master/docs/Figures/hmm_coupled.gif new file mode 100644 index 00000000..1dd2859c Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_coupled.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_factorial.fig b/sourcecodes/bnt-master/docs/Figures/hmm_factorial.fig new file mode 100644 index 00000000..94e6010c --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_factorial.fig @@ -0,0 +1,50 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 1501.355 1323.343 675 450 300 1275 525 2025 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 2263.600 1307.555 1650 525 1275 1200 1575 2025 + 0 0 1.00 60.00 120.00 +6 675 1050 2100 1500 +6 675 1050 2100 1500 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 1275 1650 1275 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 675 1050 1050 1050 1050 1500 675 1500 675 1050 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1725 1050 2100 1050 2100 1500 1725 1500 1725 1050 +-6 +-6 +6 675 225 2100 675 +6 675 225 2100 675 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 450 1650 450 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 675 225 1050 225 1050 675 675 675 675 225 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1725 225 2100 225 2100 675 1725 675 1725 225 +-6 +-6 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 825 2100 300 225 825 2100 1125 2325 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1875 2100 300 225 1875 2100 2175 2325 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 1500 825 1875 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 1500 1875 1875 +4 0 -1 0 0 0 12 0.0000 4 135 225 675 2175 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1800 2250 Y2\001 +4 0 -1 0 0 0 12 0.0000 4 135 1185 675 2850 Factorial HMM\001 +4 0 0 100 0 0 12 0.0000 4 135 225 750 525 A1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1800 525 A2\001 +4 0 0 100 0 0 12 0.0000 4 135 210 750 1350 B1\001 +4 0 0 100 0 0 12 0.0000 4 135 210 1800 1350 B2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_factorial.gif b/sourcecodes/bnt-master/docs/Figures/hmm_factorial.gif new file mode 100644 index 00000000..6ee4d113 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_factorial.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_gauss.fig b/sourcecodes/bnt-master/docs/Figures/hmm_gauss.fig new file mode 100644 index 00000000..bb26e360 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_gauss.fig @@ -0,0 +1,27 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 225 600 1875 1875 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 525 1650 300 225 525 1650 825 1875 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1575 1650 300 225 1575 1650 1875 1875 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 825 1350 825 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 375 600 750 600 750 1050 375 1050 375 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 1050 525 1425 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1425 600 1800 600 1800 1050 1425 1050 1425 600 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1575 1050 1575 1425 +-6 +4 0 -1 0 0 0 12 0.0000 4 165 225 450 900 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 375 1725 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1500 1725 Y2\001 +4 0 -1 0 0 0 12 0.0000 4 180 2130 150 2250 HMM with Gaussian output\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 1500 900 Q2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_gauss.gif b/sourcecodes/bnt-master/docs/Figures/hmm_gauss.gif new file mode 100644 index 00000000..d0aa117b Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_gauss.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_io.fig b/sourcecodes/bnt-master/docs/Figures/hmm_io.fig new file mode 100644 index 00000000..1f84aafd --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_io.fig @@ -0,0 +1,44 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 1725.000 1200.000 600 450 375 1275 600 1950 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 2859.375 1303.125 1650 525 1425 1200 1575 1950 + 0 0 1.00 60.00 120.00 +6 525 150 2175 2325 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1875 2100 300 225 1875 2100 2175 2325 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 825 2100 300 225 825 2100 1125 2325 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 900 375 300 225 900 375 1200 600 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1875 375 300 225 1875 375 2175 600 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 1275 1650 1275 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 675 1050 1050 1050 1050 1500 675 1500 675 1050 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 1500 825 1875 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1725 1050 2100 1050 2100 1500 1725 1500 1725 1050 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 1500 1875 1875 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 675 825 1050 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 675 1875 1050 +-6 +4 0 -1 0 0 0 12 0.0000 4 165 225 750 1350 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 1800 1350 Q2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 750 450 U1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 750 2175 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1725 450 U2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1725 2175 Y2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_io.gif b/sourcecodes/bnt-master/docs/Figures/hmm_io.gif new file mode 100644 index 00000000..24dfc2da Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_io.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.fig b/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.fig new file mode 100644 index 00000000..cbfb1c63 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.fig @@ -0,0 +1,52 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +6 675 1650 1275 2100 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 975 1875 300 225 975 1875 1275 2100 +4 0 -1 0 0 0 12 0.0000 4 135 225 825 1950 Y1\001 +-6 +6 1725 1725 2325 2175 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 2025 1950 300 225 2025 1950 2325 2175 +4 0 -1 0 0 0 12 0.0000 4 135 225 1950 2025 Y2\001 +-6 +6 1500 900 1875 1350 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1500 900 1875 900 1875 1350 1500 1350 1500 900 +4 0 -1 0 0 0 12 0.0000 4 135 255 1575 1200 M2\001 +-6 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1275 450 1800 450 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 825 225 1200 225 1200 675 825 675 825 225 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1875 225 2250 225 2250 675 1875 675 1875 225 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 225 900 600 900 600 1350 225 1350 225 900 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 675 450 900 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 1350 750 1650 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 675 1050 1650 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 675 1725 900 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1800 1350 1950 1725 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2100 675 2100 1725 +4 0 -1 0 0 0 12 0.0000 4 165 225 900 525 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 135 255 300 1200 M1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 1950 525 Q2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.gif b/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.gif new file mode 100644 index 00000000..33d758b8 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_mixgauss.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_zoo.fig b/sourcecodes/bnt-master/docs/Figures/hmm_zoo.fig new file mode 100644 index 00000000..05d34578 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_zoo.fig @@ -0,0 +1,162 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter 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00000000..c16ddffa Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/hmm_zoo.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/hmm_zoo_names.fig b/sourcecodes/bnt-master/docs/Figures/hmm_zoo_names.fig new file mode 100644 index 00000000..b53a7143 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/hmm_zoo_names.fig @@ -0,0 +1,169 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +75.00 +Single +-2 +1200 2 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 1650.000 4050.000 525 3300 300 4125 525 4800 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 2784.375 4153.125 1575 3375 1350 4050 1500 4800 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 6376.355 4323.343 5550 3450 5175 4275 5400 5025 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 7138.600 4307.555 6525 3525 6150 4200 6450 5025 + 0 0 1.00 60.00 120.00 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 5550 1425 300 225 5550 1425 5850 1650 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 6600 1425 300 225 6600 1425 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+%%Creator: (ImageMagick) +%%Title: (ifa.eps) +%%CreationDate: (Tue Nov 16 19:52:10 2004) +%%BoundingBox: 0 0 246 221 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} 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index 00000000..864d5112 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/ifa.fig @@ -0,0 +1,59 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 0 0 2362.500 1537.500 1725 2325 2400 2550 3000 2325 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 0 0 1950.000 818.750 675 2400 1950 2850 3225 2400 +6 225 900 3600 2475 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 900 1125 300 225 900 1125 1200 1350 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 2400 1125 300 225 2400 1125 2700 1350 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 525 2175 300 225 525 2175 825 2400 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 3240 2179 300 225 3240 2179 3540 2404 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1500 2175 300 225 1500 2175 1800 2400 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 750 1350 525 1950 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1125 1275 3000 2025 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2325 1350 675 1950 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2550 1350 3150 1950 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 1350 1350 1950 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2325 1350 1575 1875 +4 0 -1 0 0 0 12 0.0000 4 135 225 825 1200 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 2250 1200 Xn\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 375 2250 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 270 3075 2250 Ym\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 1500 1275 ...\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1350 2250 Y2\001 +4 0 -1 0 0 0 24 0.0000 4 30 270 2100 2175 ...\001 +-6 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 600 225 1050 225 1050 675 600 675 600 225 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 2250 225 2700 225 2700 675 2250 675 2250 225 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 675 825 900 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2475 675 2475 900 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 2 + 825 2175 1200 2175 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 2 + 2625 2175 2925 2175 +4 0 -1 0 0 0 12 0.0000 4 165 225 675 525 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 2325 525 Qn\001 diff --git a/sourcecodes/bnt-master/docs/Figures/ifa.gif b/sourcecodes/bnt-master/docs/Figures/ifa.gif new file mode 100644 index 00000000..d77cd76a Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/ifa.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/kf.fig b/sourcecodes/bnt-master/docs/Figures/kf.fig new file mode 100644 index 00000000..a2e24c82 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/kf.fig @@ -0,0 +1,27 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 225 225 1950 2250 +6 225 225 1950 675 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 525 450 300 225 525 450 825 675 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1650 450 300 225 1650 450 1950 675 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 450 1350 450 +-6 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 525 1575 300 225 525 1575 825 1800 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1650 1575 300 225 1650 1575 1950 1800 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 750 525 1275 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1650 750 1650 1275 +4 0 -1 0 0 0 12 0.0000 4 135 1455 225 2250 Kalman filter model\001 +-6 +4 0 -1 0 0 0 12 0.0000 4 135 210 375 525 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 210 1500 525 X2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 375 1650 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1500 1650 Y2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/kf.gif b/sourcecodes/bnt-master/docs/Figures/kf.gif new file mode 100644 index 00000000..9d0ae34e Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/kf.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/kf_input.fig b/sourcecodes/bnt-master/docs/Figures/kf_input.fig new file mode 100644 index 00000000..e51d73fa --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/kf_input.fig @@ -0,0 +1,40 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 1 0 7 100 0 -1 0.000 0 1 1 0 3131.250 1462.500 1575 450 1275 1425 1575 2475 + 0 0 1.00 60.00 120.00 +5 1 0 1 0 7 100 0 -1 0.000 0 1 1 0 4272.606 1559.043 2775 525 2475 1275 2700 2475 + 0 0 1.00 60.00 120.00 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1875 2550 300 225 1875 2550 2175 2775 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 3000 2550 300 225 3000 2550 3300 2775 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1875 1425 300 225 1875 1425 2175 1650 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 3000 1425 300 225 3000 1425 3300 1650 +1 1 0 1 0 0 100 0 2 0.000 1 0.0000 1875 375 300 225 1875 375 2175 600 +1 1 0 1 0 0 100 0 2 0.000 1 0.0000 3000 375 300 225 3000 375 3300 600 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 1725 1875 2250 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3000 1725 3000 2250 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 2175 1425 2700 1425 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1875 600 1875 1200 +2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 3000 600 3000 1200 +4 0 -1 0 0 0 12 0.0000 4 135 225 1725 1500 X1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 2850 1500 X2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1725 2625 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 2850 2625 Y2\001 +4 0 0 100 0 0 12 0.0000 4 135 225 1725 450 U1\001 +4 0 0 100 0 0 12 0.0000 4 135 225 2850 450 U2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/kf_input.gif b/sourcecodes/bnt-master/docs/Figures/kf_input.gif new file mode 100644 index 00000000..595d5ae0 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/kf_input.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/kf_notime.fig b/sourcecodes/bnt-master/docs/Figures/kf_notime.fig new file mode 100644 index 00000000..11b75c1f --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/kf_notime.fig @@ -0,0 +1,26 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 1 0 2 0 0 100 0 2 0.000 1 0.0000 525 1575 300 225 525 1575 825 1800 +1 1 0 2 0 0 100 0 2 0.000 1 0.0000 1650 1575 300 225 1650 1575 1950 1800 +1 1 0 2 0 0 100 0 -1 0.000 1 0.0000 525 450 300 225 525 450 825 675 +1 1 0 2 0 0 100 0 -1 0.000 1 0.0000 1650 450 300 225 1650 450 1950 675 +2 1 0 2 0 0 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 2.00 120.00 240.00 + 525 750 525 1275 +2 1 0 2 0 0 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 2.00 120.00 240.00 + 1650 750 1650 1275 +2 1 0 2 0 0 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 2.00 120.00 240.00 + 825 450 1350 450 +4 0 0 100 0 0 20 0.0000 4 195 210 375 525 X\001 +4 0 0 100 0 0 20 0.0000 4 195 210 1500 525 X\001 +4 0 0 100 0 0 20 0.0000 4 195 210 1500 1650 Y\001 +4 0 0 100 0 0 20 0.0000 4 195 210 375 1650 Y\001 diff --git a/sourcecodes/bnt-master/docs/Figures/kf_obs_track.fig b/sourcecodes/bnt-master/docs/Figures/kf_obs_track.fig new file mode 100644 index 00000000..b657f62e --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/kf_obs_track.fig @@ -0,0 +1,43 @@ +#FIG 3.2 +Portrait +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 1500 335 335 1200 1200 1500 1800 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 2700 335 335 1200 2400 1500 3000 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 3900 335 335 1200 3600 1500 4200 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 5100 335 335 1200 4800 1500 5400 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 5100 335 335 2700 4800 3000 5400 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 3900 335 335 2700 3600 3000 4200 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 2700 335 335 2700 2400 3000 3000 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 1500 335 335 2700 1200 3000 1800 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 1500 2550 1500 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 2700 2550 1650 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 3900 2475 3900 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 5100 2625 4125 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 5100 2475 5100 +2 1 0 2 0 0 100 0 2 0.000 0 0 -1 1 0 2 + 0 0 4.00 120.00 240.00 + 1725 2700 2550 2700 +4 0 0 100 0 0 20 0.0000 4 195 405 1125 2850 dx1\001 +4 0 0 100 0 0 20 0.0000 4 195 270 1125 4050 x2\001 +4 0 0 100 0 0 20 0.0000 4 195 405 1200 5175 dx2\001 +4 0 0 100 0 0 20 0.0000 4 195 270 1200 1650 x1\001 +4 0 0 100 0 0 20 0.0000 4 195 270 2700 1650 x1\001 +4 0 0 100 0 0 20 0.0000 4 195 405 2700 2850 dx1\001 +4 0 0 100 0 0 20 0.0000 4 195 270 2700 4050 x2\001 +4 0 0 100 0 0 20 0.0000 4 195 405 2700 5250 dx2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/kf_scalar_track.fig b/sourcecodes/bnt-master/docs/Figures/kf_scalar_track.fig new file mode 100644 index 00000000..27ac7892 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/kf_scalar_track.fig @@ -0,0 +1,59 @@ +#FIG 3.2 +Portrait +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 2 0 7 100 0 -1 0.000 0 1 1 0 2726.786 5448.214 1125 4125 675 5775 1050 6675 + 0 0 4.00 120.00 240.00 +5 1 0 2 0 7 100 0 -1 0.000 0 1 1 0 6809.923 4980.705 1050 1725 225 5625 975 8100 + 0 0 4.00 120.00 240.00 +5 1 0 2 0 7 100 0 -1 0.000 0 0 1 0 1778.571 5400.000 3225 3900 3750 6075 3225 6900 + 0 0 4.00 120.00 240.00 +5 1 0 2 0 7 100 0 -1 0.000 0 0 1 0 -75.000 4837.500 3225 1500 4575 5475 3225 8175 + 0 0 4.00 120.00 240.00 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 1500 335 335 1200 1200 1500 1800 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 2700 335 335 1200 2400 1500 3000 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 3900 335 335 1200 3600 1500 4200 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 1350 5100 335 335 1200 4800 1500 5400 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 5100 335 335 2700 4800 3000 5400 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 3900 335 335 2700 3600 3000 4200 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 2700 335 335 2700 2400 3000 3000 +1 4 0 2 0 7 100 0 -1 0.000 1 0.0000 2850 1500 335 335 2700 1200 3000 1800 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4 195 270 1200 1650 x1\001 +4 0 0 100 0 0 20 0.0000 4 195 270 2700 1650 x1\001 +4 0 0 100 0 0 20 0.0000 4 195 405 2700 2850 dx1\001 +4 0 0 100 0 0 20 0.0000 4 195 270 2700 4050 x2\001 +4 0 0 100 0 0 20 0.0000 4 195 405 2700 5250 dx2\001 +4 0 0 100 0 0 20 0.0000 4 255 270 1200 6975 y2\001 +4 0 0 100 0 0 20 0.0000 4 255 270 1200 8175 y1\001 +4 0 0 100 0 0 20 0.0000 4 255 270 2700 7050 y2\001 +4 0 0 100 0 0 20 0.0000 4 255 270 2700 8175 y1\001 diff --git a/sourcecodes/bnt-master/docs/Figures/kfhead.jpg b/sourcecodes/bnt-master/docs/Figures/kfhead.jpg new file mode 100644 index 00000000..2c1fc6f0 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/kfhead.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/mathbymatlab.gif b/sourcecodes/bnt-master/docs/Figures/mathbymatlab.gif new file mode 100644 index 00000000..0de8d7a0 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mathbymatlab.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/mcmc_accept.jpg b/sourcecodes/bnt-master/docs/Figures/mcmc_accept.jpg new file mode 100644 index 00000000..f383627e Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mcmc_accept.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/mcmc_post.jpg b/sourcecodes/bnt-master/docs/Figures/mcmc_post.jpg new file mode 100644 index 00000000..bbe172b5 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mcmc_post.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/mfa.eps b/sourcecodes/bnt-master/docs/Figures/mfa.eps new file mode 100644 index 00000000..9b40d66c --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/mfa.eps @@ -0,0 +1,347 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (mfa.eps) +%%CreationDate: (Tue Nov 16 19:52:06 2004) +%%BoundingBox: 0 0 126 151 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + /Times-Roman findfont pointsize scalefont setfont + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt { PseudoClassImage } { DirectClassImage } ifelse + grestore +} bind def +%%EndProlog +%%Page: 1 1 +%%PageBoundingBox: 0 0 126 151 +userdict begin +DisplayImage +0 0 +126 151 +12.000000 +126 151 +1 +1 +1 +1 +fffffffffffffffffffffffffffffffcfffffffffffffffffffffffffffffffcffffffff +fffffffffffffffffffffffcfffffffffffffffffffffffffffffffcffffffffffffffff +fffffffffffffffcfffffffffffffffffffffffffffffffcffffffffffffffffffffffff +fffffffcfffffffffffffffffffffffffffffffcfffffffffffffffffffffffffffffffc +ff8000001fffffffffffff800ffffffcffbfffffdffffffffffffc7ff1fffffcffbfffff +dfffffffffffe3fffe3ffffcffbfffffdfffffffffffdfffffdffffcffbfffffdfffffff +ffff3fffffe7fffcffbfffffdffffffffffefffffffbfffcffbfffffdffffffffffdffff +fffdfffcffbfffffdffffffffffbfffffffefffcffbfffffdffffffffff7ffffffff7ffc +ffbfffffdffffffffff7ffffffff7ffcffbfffffdfffffffffefffffffffbffcffbf0fff +dfffffffffeff18fffffbffcffbe67ffdfffffffffdffbdfffffdffcffbef7ffdfffffff 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+fffffffffffffffcfffffffffffffffffffffffffffffffcffffffffffffffffffffffff +fffffffcfffffffffffffffffffffffffffffffcfffffffffffffffffffffffffffffffc +fffffffffffffffffffffffffffffffcfffffffffffffffffffffffffffffffcffffffff +fffffffffffffffffffffffcfffffffffffffffffffffffffffffffcffffffffffffffff +fffffffffffffffcfffffffffffffffffffffffffffffffcffffffffffffffffffffffff +fffffffc +end +%%PageTrailer +%%Trailer +%%EOF diff --git a/sourcecodes/bnt-master/docs/Figures/mfa.fig b/sourcecodes/bnt-master/docs/Figures/mfa.fig new file mode 100644 index 00000000..90662e74 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/mfa.fig @@ -0,0 +1,24 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +6 225 225 1800 1650 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1500 450 300 225 1500 450 1800 675 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 975 1425 300 225 975 1425 1275 1650 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 225 225 600 225 600 675 225 675 225 225 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 525 675 900 1200 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1425 675 1050 1200 +-6 +4 0 -1 0 0 0 12 0.0000 4 135 135 825 1500 Y\001 +4 0 -1 0 0 0 12 0.0000 4 165 135 300 525 Q\001 +4 0 -1 0 0 0 12 0.0000 4 135 135 1350 525 X\001 diff --git a/sourcecodes/bnt-master/docs/Figures/mfa.gif b/sourcecodes/bnt-master/docs/Figures/mfa.gif new file mode 100644 index 00000000..3325b3a4 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mfa.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/mixexp.fig b/sourcecodes/bnt-master/docs/Figures/mixexp.fig new file mode 100644 index 00000000..6999ae55 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/mixexp.fig @@ -0,0 +1,23 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 525 300 1575 2925 +5 1 0 1 -1 7 0 0 -1 0.000 0 1 1 0 2055.000 1650.000 975 675 600 1650 975 2625 + 0 0 1.00 60.00 120.00 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1275 525 300 225 1275 525 1575 750 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1275 2700 300 225 1275 2700 1575 2925 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1050 1350 1425 1350 1425 1800 1050 1800 1050 1350 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1275 825 1275 1350 +2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1275 1800 1275 2475 +-6 +4 0 -1 0 0 0 12 0.0000 4 180 1425 450 3300 Mixture of Experts\001 +4 0 -1 0 0 0 12 0.0000 4 135 120 1200 600 X\001 +4 0 -1 0 0 0 12 0.0000 4 165 135 1125 1650 Q\001 +4 0 -1 0 0 0 12 0.0000 4 135 135 1200 2775 Y\001 diff --git a/sourcecodes/bnt-master/docs/Figures/mixexp.gif b/sourcecodes/bnt-master/docs/Figures/mixexp.gif new file mode 100644 index 00000000..1b76e58c Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mixexp.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/mixexp_after.gif b/sourcecodes/bnt-master/docs/Figures/mixexp_after.gif new file mode 100644 index 00000000..06525bf4 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mixexp_after.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/mixexp_before.gif b/sourcecodes/bnt-master/docs/Figures/mixexp_before.gif new file mode 100644 index 00000000..6eef2add Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mixexp_before.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/mixexp_data.gif b/sourcecodes/bnt-master/docs/Figures/mixexp_data.gif new file mode 100644 index 00000000..7a770216 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/mixexp_data.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/model_select.png b/sourcecodes/bnt-master/docs/Figures/model_select.png new file mode 100644 index 00000000..25ee5da4 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/model_select.png differ diff --git a/sourcecodes/bnt-master/docs/Figures/qmr.fig b/sourcecodes/bnt-master/docs/Figures/qmr.fig new file mode 100644 index 00000000..0d852876 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/qmr.fig @@ -0,0 +1,50 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 3 0 3 0 0 100 0 5 0.000 1 0.0000 750 2700 309 309 750 2700 1050 2775 +1 3 0 3 0 0 100 0 5 0.000 1 0.0000 3225 2700 309 309 3225 2700 3525 2775 +1 3 0 3 0 0 100 0 5 0.000 1 0.0000 4500 2700 309 309 4500 2700 4800 2775 +1 3 0 3 0 0 100 0 -1 0.000 1 0.0000 1950 2700 309 309 1950 2700 2025 3000 +1 3 0 3 0 0 100 0 -1 0.000 1 0.0000 5775 2700 309 309 5775 2700 5850 3000 +1 3 0 3 0 0 100 0 -1 0.000 1 0.0000 4125 1200 309 309 4125 1200 4200 1500 +1 3 0 3 0 0 100 0 -1 0.000 1 0.0000 3000 1200 309 309 3000 1200 3075 1500 +1 3 0 3 0 0 100 0 -1 0.000 1 0.0000 1875 1200 309 309 1875 1200 1950 1500 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 1 2 + 0 0 3.00 180.00 360.00 + 0 0 3.00 180.00 360.00 + 450 3750 6150 3750 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 1 2 + 0 0 3.00 180.00 360.00 + 0 0 3.00 180.00 360.00 + 1350 525 4650 525 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 1725 1500 900 2475 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 2850 1500 1050 2475 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 2925 1500 2100 2400 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 3975 1500 2100 2400 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 3075 1575 3150 2325 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 3150 1575 4200 2400 +2 1 0 3 0 7 100 0 -1 0.000 0 0 7 1 0 2 + 0 0 3.00 180.00 360.00 + 4200 1500 5475 2475 +4 0 0 100 0 0 24 0.0000 4 255 720 1950 4200 4000\001 +4 0 0 100 0 0 24 0.0000 4 330 1575 2850 4200 Symptoms\001 +4 0 0 100 0 0 24 0.0000 4 255 540 2100 375 600\001 +4 0 0 100 0 0 24 0.0000 4 255 1290 2775 375 Diseases\001 diff --git a/sourcecodes/bnt-master/docs/Figures/qmr.gif b/sourcecodes/bnt-master/docs/Figures/qmr.gif new file mode 100644 index 00000000..f32294fe Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/qmr.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/qmr.jpg b/sourcecodes/bnt-master/docs/Figures/qmr.jpg new file mode 100644 index 00000000..40a6c57c Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/qmr.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/qmr.rnd.jpg b/sourcecodes/bnt-master/docs/Figures/qmr.rnd.jpg new file mode 100644 index 00000000..57026cd7 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/qmr.rnd.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/rainer_dbn.jpg b/sourcecodes/bnt-master/docs/Figures/rainer_dbn.jpg new file mode 100644 index 00000000..a546ff4f Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/rainer_dbn.jpg differ diff --git a/sourcecodes/bnt-master/docs/Figures/rainer_tied.fig b/sourcecodes/bnt-master/docs/Figures/rainer_tied.fig new file mode 100644 index 00000000..49cf565c --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/rainer_tied.fig @@ -0,0 +1,88 @@ +#FIG 3.2 +Portrait +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 2 0 7 100 0 -1 0.000 0 1 1 0 3196.875 3000.000 1275 1875 975 3150 1275 4125 + 1 1 1.00 60.00 120.00 +5 1 0 2 0 7 100 0 -1 0.000 0 1 1 0 5596.875 3000.000 3675 1875 3375 3150 3675 4125 + 1 1 1.00 60.00 120.00 +5 1 0 2 0 7 100 0 -1 0.000 0 0 1 0 3849.948 3549.006 2475 3375 3075 2400 4500 2325 + 1 1 1.00 60.00 120.00 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 1500 1875 237 237 1500 1875 1575 2100 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 1500 2775 237 237 1500 2775 1575 3000 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 2400 2325 237 237 2400 2325 2475 2550 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 2325 3600 237 237 2325 3600 2400 3825 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 1500 4275 237 237 1500 4275 1575 4500 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 3900 1875 237 237 3900 1875 3975 2100 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 3900 2775 237 237 3900 2775 3975 3000 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 4800 2325 237 237 4800 2325 4875 2550 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 4725 3600 237 237 4725 3600 4800 3825 +1 3 0 2 0 7 100 0 -1 0.000 1 0.0000 3900 4275 237 237 3900 4275 3975 4500 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 2625 1875 1725 300 2625 1875 4350 2175 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 2625 4275 1800 300 2625 4275 4425 4575 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 3375 3600 1725 300 3375 3600 5100 3900 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 1500 2775 375 300 1500 2775 1875 3075 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 3900 2775 375 300 3900 2775 4275 3075 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 4800 2325 375 300 4800 2325 5175 2625 +1 1 1 2 0 7 100 0 -1 6.000 1 0.0000 2400 2325 375 225 2400 2325 2775 2550 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 1725 1950 2175 2250 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 2175 2400 1725 2700 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 2400 2550 2400 3375 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 1575 3000 2100 3450 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 3 + 1 1 1.00 60.00 120.00 + 1725 1950 2175 3375 2175 3375 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 2175 3750 1650 4125 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 4125 1950 4575 2250 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 4575 2400 4125 2700 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 4800 2550 4800 3375 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 3975 3000 4500 3450 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 3 + 1 1 1.00 60.00 120.00 + 4125 1950 4575 3375 4575 3375 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 4575 3750 4050 4125 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 1 0 2 + 1 1 1.00 60.00 120.00 + 2700 2325 3675 2700 +4 0 0 100 0 2 12 0.0000 4 135 90 1425 1950 1\001 +4 0 0 100 0 2 12 0.0000 4 135 90 2325 2400 2\001 +4 0 0 100 0 2 12 0.0000 4 135 90 1425 2850 3\001 +4 0 0 100 0 2 12 0.0000 4 135 90 2250 3675 4\001 +4 0 0 100 0 2 12 0.0000 4 135 90 1425 4350 5\001 +4 0 0 100 0 2 12 0.0000 4 135 90 3750 1950 6\001 +4 0 0 100 0 2 12 0.0000 4 135 90 4650 2400 7\001 +4 0 0 100 0 2 12 0.0000 4 135 90 3750 2850 8\001 +4 0 0 100 0 2 12 0.0000 4 135 90 4650 3675 9\001 +4 0 0 100 0 2 12 0.0000 4 135 180 3750 4350 10\001 +4 0 0 100 0 2 12 0.0000 4 135 210 2475 2700 E2\001 +4 0 0 100 0 2 12 0.0000 4 135 210 1350 4725 E5\001 +4 0 0 100 0 2 12 0.0000 4 135 210 1725 3900 E4\001 +4 0 0 100 0 2 12 0.0000 4 135 210 1350 3300 E3\001 +4 0 0 100 0 2 12 0.0000 4 135 210 1350 2325 E1\001 +4 0 0 100 0 2 12 0.0000 4 135 210 3750 3225 E7\001 +4 0 0 100 0 2 12 0.0000 4 135 210 4800 2850 E6\001 diff --git a/sourcecodes/bnt-master/docs/Figures/rainer_tied.gif b/sourcecodes/bnt-master/docs/Figures/rainer_tied.gif new file mode 100644 index 00000000..19cb8279 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/rainer_tied.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/sar.fig b/sourcecodes/bnt-master/docs/Figures/sar.fig new file mode 100644 index 00000000..f6f54d1d --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/sar.fig @@ -0,0 +1,37 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 375 225 2175 2325 +6 375 1350 2100 1800 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 675 1575 300 225 675 1575 975 1800 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1800 1575 300 225 1800 1575 2100 1800 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 975 1575 1500 1575 +-6 +6 450 225 1950 675 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 450 225 825 225 825 675 450 675 450 225 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1575 225 1950 225 1950 675 1575 675 1575 225 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 450 1575 450 +-6 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 675 675 675 1350 +2 1 0 1 -1 0 0 0 2 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1800 675 1800 1350 +2 1 1 1 -1 0 0 0 2 4.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 975 1425 1500 525 +4 0 -1 0 0 0 12 0.0000 4 180 1530 600 2250 Switching AR model\001 +-6 +4 0 -1 0 0 0 12 0.0000 4 165 225 525 525 Q1\001 +4 0 -1 0 0 0 12 0.0000 4 165 225 1650 525 Q2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 525 1650 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1650 1650 Y2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/sar.gif b/sourcecodes/bnt-master/docs/Figures/sar.gif new file mode 100644 index 00000000..d22e3e2d Binary files /dev/null and b/sourcecodes/bnt-master/docs/Figures/sar.gif differ diff --git a/sourcecodes/bnt-master/docs/Figures/skf.fig b/sourcecodes/bnt-master/docs/Figures/skf.fig new file mode 100644 index 00000000..85ff267f --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/skf.fig @@ -0,0 +1,48 @@ +#FIG 3.1 +Landscape +Center +Inches +1200 2 +6 300 300 2550 3375 +5 1 0 1 -1 -1 0 0 -1 0.000 0 1 1 0 3718.581 1734.122 1725 600 1425 1725 1575 2550 + 0 0 1.00 60.00 120.00 +5 1 0 1 -1 -1 0 0 -1 0.000 0 1 1 0 2652.330 1587.076 600 600 375 1575 525 2400 + 0 0 1.00 60.00 120.00 +6 1650 1200 2250 2775 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1950 2550 300 225 1950 2550 2250 2775 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1950 1425 300 225 1950 1425 2250 1650 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 1725 1950 2250 +-6 +6 675 300 2175 750 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 675 300 1050 300 1050 750 675 750 675 300 +2 2 0 1 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 + 1800 300 2175 300 2175 750 1800 750 1800 300 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1050 525 1800 525 +-6 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 825 2550 300 225 825 2550 1125 2775 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 825 1425 300 225 825 1425 1125 1650 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 750 825 1200 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 1950 750 1950 1200 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2625 Y1\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1800 1500 X2\001 +4 0 -1 0 0 0 12 0.0000 4 135 225 1800 2625 Y2\001 +4 0 0 50 0 0 12 0.0000 4 135 225 2850 1500 X3\001 +4 0 0 0 0 0 12 0.0000 4 135 225 2925 2625 Y3\001 +4 0 0 50 0 0 12 0.0000 4 135 210 750 600 Z1\001 +4 0 0 50 0 0 12 0.0000 4 135 210 1875 600 Z2\001 +4 0 0 50 0 0 12 0.0000 4 135 210 2925 600 Z3\001 diff --git a/sourcecodes/bnt-master/docs/Figures/skf3_nosolid.fig b/sourcecodes/bnt-master/docs/Figures/skf3_nosolid.fig new file mode 100644 index 00000000..60609cb2 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/skf3_nosolid.fig @@ -0,0 +1,66 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +5 1 0 2 0 7 50 0 -1 0.000 0 1 1 0 2652.330 1587.076 600 600 375 1575 525 2400 + 1 1 2.00 120.00 240.00 +5 1 0 2 0 7 50 0 -1 0.000 0 1 1 0 3718.581 1734.122 1725 600 1425 1725 1575 2550 + 1 1 2.00 120.00 240.00 +5 1 0 2 0 7 50 0 -1 0.000 0 1 1 0 4843.581 1734.122 2850 600 2550 1725 2700 2550 + 1 1 2.00 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Y2\001 diff --git a/sourcecodes/bnt-master/docs/Figures/skf3_polytree.fig b/sourcecodes/bnt-master/docs/Figures/skf3_polytree.fig new file mode 100644 index 00000000..eea5df04 --- /dev/null +++ b/sourcecodes/bnt-master/docs/Figures/skf3_polytree.fig @@ -0,0 +1,60 @@ +#FIG 3.2 +Landscape +Center +Inches +Letter +100.00 +Single +-2 +1200 2 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 825 2550 300 225 825 2550 1125 2775 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 825 1425 300 225 825 1425 1125 1650 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 1950 2550 300 225 1950 2550 2250 2775 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 1950 1425 300 225 1950 1425 2250 1650 +1 1 0 1 -1 -1 0 0 -1 0.000 1 0.0000 3075 1425 300 225 3075 1425 3375 1650 +1 1 0 1 -1 0 0 0 2 0.000 1 0.0000 3075 2550 300 225 3075 2550 3375 2775 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 750 825 1200 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 60.00 120.00 + 825 1725 825 2250 +2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 + 0 0 1.00 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00000000..fb41110b Binary files /dev/null and b/sourcecodes/bnt-master/docs/Talks/BNT_mathworks.ppt differ diff --git a/sourcecodes/bnt-master/docs/Talks/gR03.ppt b/sourcecodes/bnt-master/docs/Talks/gR03.ppt new file mode 100644 index 00000000..fe7b6f74 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Talks/gR03.ppt differ diff --git a/sourcecodes/bnt-master/docs/Talks/stair_BNT_mathworks.ppt b/sourcecodes/bnt-master/docs/Talks/stair_BNT_mathworks.ppt new file mode 100644 index 00000000..a400eba0 Binary files /dev/null and b/sourcecodes/bnt-master/docs/Talks/stair_BNT_mathworks.ppt differ diff --git a/sourcecodes/bnt-master/docs/adj2pajek2.m b/sourcecodes/bnt-master/docs/adj2pajek2.m new file mode 100644 index 00000000..5276a4e3 --- /dev/null +++ b/sourcecodes/bnt-master/docs/adj2pajek2.m @@ -0,0 +1,86 @@ +% ADJ2PAJEK2 Converts an adjacency matrix representation to a Pajek .net read format +% adj2pajek2(adj, filename-stem, 'argname1', argval1, ...) +% +% Set A(i,j)=-1 to get a dotted line +% +% Optional arguments +% +% nodeNames - cell array, defaults to {'v1','v2,...} +% shapes - cell array, defaults to {'ellipse','ellipse',...} +% Choices are 'ellipse', 'box', 'diamond', 'triangle', 'cross', 'empty' +% partition - vector of integers, defaults to [1 1 ... 1] +% This will automatically color-code the vertices by their partition +% +% Run pajek (available from http://vlado.fmf.uni-lj.si/pub/networks/pajek/) +% Choose File->Network->Read from the menu +% Then press ctrl-G (Draw->Draw) +% Optional: additionally load the partition file then press ctrl-P (Draw->partition) +% +% Examples +% A=zeros(5,5);A(1,2)=-1;A(2,1)=-1;A(1,[3 4])=1;A(2,5)=1; +% adj2pajek2(A,'foo') % makes foo.net +% +% adj2pajek2(A,'foo','partition',[1 1 2 2 2]) % makes foo.net and foo.clu +% +% adj2pajek2(A,'foo',... +% 'nodeNames',{'TF1','TF2','G1','G2','G3'},... +% 'shapes',{'box','box','ellipse','ellipse','ellipse'}); +% +% +% The file format is documented on p68 of the pajek manual +% and good examples are on p58, p72 +% +% Written by Kevin Murphy, 30 May 2007 +% Based on adj2pajek by Gergana Bounova +% http://stuff.mit.edu/people/gerganaa/www/matlab/routines.html +% Fixes a small bug (opens files as 'wt' instead of 'w' so it works in windows) +% Also, simplified her code and added some features. + +function []=adj2pajek2(adj,filename, varargin) + +N = length(adj); +for i=1:N + nodeNames{i} = strcat('"v',num2str(i),'"'); + shapes{i} = 'ellipse'; +end + +[nodeNames, shapes, partition] = process_options(varargin, ... + 'nodeNames', nodeNames, 'shapes', shapes, 'partition', []); + +if ~isempty(partition) + fid = fopen(sprintf('%s.clu', filename),'wt','native'); + fprintf(fid,'*Vertices %6i\n',N); + for i=1:N + fprintf(fid, '%d\n', partition(i)); + end + fclose(fid); +end + +fid = fopen(sprintf('%s.net', filename),'wt','native'); + +fprintf(fid,'*Vertices %6i\n',N); +for i=1:N + fprintf(fid,'%3i %s %s\n', i, nodeNames{i}, shapes{i}); +end + +%fprintf(fid,'*Edges\n'); +fprintf(fid,'*Arcs\n'); % directed +for i=1:N + for j=1:N + if adj(i,j) ~= 0 + fprintf(fid,' %4i %4i %2i\n',i,j,adj(i,j)); + end + end +end +fclose(fid) + + +if 0 +adj2pajek2(A,'foo',... + 'nodeNames',{'TF1','TF2','G1','G2','G3'},... + 'shapes',{'box','box','ellipse','ellipse','ellipse'}); + +N = 100; part = ones(1,N); part(intersect(reg.tfidxTest,1:N))=2; +G = reg.Atest(1:N, 1:N)'; +adj2pajek2(G, 'Ecoli100', 'partition', part) +end diff --git a/sourcecodes/bnt-master/docs/bnsoftOld.html b/sourcecodes/bnt-master/docs/bnsoftOld.html new file mode 100644 index 00000000..9da92fa1 --- /dev/null +++ b/sourcecodes/bnt-master/docs/bnsoftOld.html @@ -0,0 +1,1078 @@ + +Software Packages for Graphical Models / Bayesian Networks + + + + +

+Software Packages for Graphical Models / Bayesian Networks +

+

+Written by Kevin Murphy. +
+Last updated 31 October 2005. + +

Remarks

+
    + +
  • +A much more detailed comparison of some of these software packages is +available from Appendix B of +Bayesian AI, by +Ann Nicholson and Kevin Korb. +This appendix is +available +here, +and is based on the online comparison below. + +
  • +An online French +version of this page is also available (not necessarily up-to-date). + + + + +
+ +

What do the headers in the table mean?

+ +
    +
  • Src = source code included? (N=no) If so, what language? + +
  • API = application program interface included? +(N means the program cannot be integrated into your code, i.e., it +must be run as a standalone executable.) + +
  • Exec = Executable runs on W = Windows (95/98/NT), U = Unix, M = +Mac, or - = any machine with a compiler. + +
  • Cts = are continuous (latent) nodes supported? +G = (conditionally) Gaussians nodes supported analytically, +Cs = continuous nodes supported by sampling, +Cd = continuous nodes supported by discretization, +Cx = continuous nodes supported by some unspecified method, +D = only discrete nodes supported. + + +
  • GUI = Graphical User Interface included? + +
  • Learns parameters? + +
  • Learns structure? CI = means uses conditional independency tests + + + +
  • Utility = utility and decision nodes (i.e., influence diagrams) +supported? + +
  • Free? +0 = free (although possibly only for academic use). +$ = commercial software (although most have free versions +which are restricted in +various ways, e.g., the model size is limited, or models cannot be +saved, or there is no API.) + + +
  • Undir? +What kind of graphs are supported? +U = only undirected graphs, +D = only directed graphs, +UD = both undirected and directed, +CG = chain graphs (mixed directed/undirected). + + +
  • Inference = which inference algorithm is used? +jtree = junction tree, +varelim = variable (bucket) elimination, +MH = Metropols Hastings, +G = Gibbs sampling, +IS = importance sampling, +sampling = some other Monte Carlo method, +polytree = Pearl's algorithm restricted to a graph with no cycles, +none = no inference supported (hence the program is only designed for +structure learning from completely observed data) + +
  • Comments. +If in "quotes", I am quoting the authors at their request. + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Name + Authors + Src + API + Exec + Cts + GUI + Params + Struct + Utility + Free + Undir + Inference + Comments + + +
AgenaRisk + Agena + N + Y + W,U + Cx + Y + Y + N + N + $ + D + JTree + Simulation by Dynamic discretisation + +
Analytica + Lumina + N + Y + W,M + G + Y + N + N + Y + $ + D + sampling + spread sheet compatible + +
Banjo + Hartemink + Java + Y + W,U,M + Cd + N + N + Y + N + 0 + D + none + structure learning of +static or dynamic networks of discrete variables + + +
Bassist + U. Helsinki + C++ + Y + U + G + N + Y + N + N + 0 + D + MH + Generates C++ for MCMC. + +
Bayda + U. Helsinki + Java + Y + WUM + G + Y + Y + N + N + 0 + D + ? + Bayesian Naive Bayes classifier. + +
BayesBuilder + Nijman (U. Nijmegen) + N + N + W + D + Y + N + N + N + 0 + D + ? + - + +
BayesiaLab + Bayesia Ltd + N + N + - + Cd + Y + Y + Y + N + $ + CG + jtree,G + + +Structural learning, adaptive +questionnaires, dynamic models + + + + +
Bayesware Discoverer + Bayesware + N + N + WUM + Cd + Y + Y + Y + N + $ + D + ? + Uses bound and collapse for learning with missing data. + +
B-course + U. Helsinki + N + N + WUM + Cd + Y + Y + Y + N + 0 + D + ? + Runs on their server: view results using a web browser. + + + +
Belief net power constructor + Cheng (U.Alberta) + N + W + W + D + Y + Y + CI + N + 0 + D + ? + - + +
BNT + Murphy (U.C.Berkeley) + Matlab/C + Y + WUM + G + N + Y + Y + Y + 0 + D,U + Many + Also handles dynamic models, like HMMs and Kalman filters. + + +
BNJ + Hsu (Kansas) + Java + - + - + D + Y + N + Y + N + 0 + D + jtree, IS + - + + + +
BucketElim + Rish (U.C.Irvine) + C++ + Y + WU + D + N + N + N + N + 0 + D + Varelim + - + +
BUGS + MRC/Imperial College + N + N + WU + Cs + W + Y + N + N + 0 + D + Gibbs + - + +
Business Navigator 5 + Data Digest Corp + N + N + W + Cd + Y + Y + Y + N + $ + D + Jtree + - + +
CABeN + Cousins et al. (Wash. U.) + C + Y + WU + D + N + N + N + N + 0 + D + 5 Sampling methods + - + +
Causal discoverer + Vanderbilt + N + N + W + - + - + N + Y + N + 0 + D + - + structure learning only + + +
CoCo+Xlisp + Badsberg (U. Aalborg) + C/lisp + Y + U + D + Y + Y + CI + N + 0 + U + Jtree + Designed for contingency tables. + +
CIspace + Poole et al. (UBC) + Java + N + WU + D + Y + N + N + N + 0 + D + Varelim + - + +
DBNbox + Roberts et al + Matlab + - + - + Y + N + Y + N + N + + Y + D + Various + DBNs + +
Deal + Bottcher et al + R + - + - + G + Y + Y + Y + N + 0 + D + None + +Structure learning. + +
DeriveIt + DeriveIt LLC + N + - + - + ? + ? + Y + Y + ? + $ + D + Jtree + +Exploits local structure in CPDs. + + +
Ergo + Noetic systems + N + Y + W,M + D + Y + N + N + N + $ + D + jtree + - + + + +
GDAGsim + Wilkinson (U. Newcastle) + C + Y + WUM + G + N + N + N + N + 0 + D + Exact + Bayesian analysis of large linear Gaussian directed models. + + +
Genie + U. Pittsburgh + N + WU + WU + D + W + N + N + Y + 0 + D + Jtree + - + +
GMRFsim + Rue (U. Trondheim) + C + Y + WUM + G + N + N + N + N + 0 + U + MCMC + Bayesian analysis of large linear Gaussian undirected models. + + +
GMTk + Bilmes (UW), Zweig (IBM) + N + Y + U + D + N + Y + Y + N + 0 + D + Jtree + +Designed for speech recognition. + +
gR + Lauritzen et al. + R + - + - + - + - + - + - + - + 0 + - + - + Currently vaporware + + +
Grappa + Green (Bristol) + R + - + - + D + N + N) + N + N + 0 + D + Jtree + - + + +
Hugin Expert + Hugin + N + Y + W + G + W + Y + CI + Y + $ + CG + Jtree + - + + +
Hydra + Warnes (U.Wash.) + Java + - + - + Cs + Y + Y + N + N + 0 + U,D + MCMC + - + + +
Ideal + Rockwell + Lisp + Y + WUM + D + Y + N + N + Y + 0 + D + Jtree + GUI requires Allegro Lisp. + +
Java Bayes + Cozman (CMU) + Java + Y + WUM + D + Y + N + N + Y + 0 + D + Varelim, jtree + - + + +
KBaseAI + Codeas + N + Y + W,U + D + N + N + N + N + $ + D + varelim + client/server architecture, multiple users, access +control, query language + + +
LibB + Friedman (Hebrew U) + N + Y + W + D + N + Y + Y + N + 0 + D + none + +Structure learning + +
MIM + HyperGraph Software + N + N + W + G + Y + Y + Y + N + $ + CG + Jtree + Up to 52 variables. + +
MSBNx + Microsoft + N + Y + W + D + W + N + N + Y + 0 + D + Jtree + - + +
Netica + Norsys + N + WUM + W + G + W + Y + N + Y + $ + D + jtree + - + +
Optimal +Reinsertion + Moore, Wong (CMU) + N + N + W,U + D + N + Y + Y + N + 0 + D + none + structure learning + + +
PMT + Pavlovic (BU) + Matlab/C + - + - + D + N + Y + N + N + 0 + D + special purpose + - + + + +
PNL + Eruhimov (Intel) + C++ + - + - + D + N + Y + Y + N + 0 + U,D + Jtree + +A C++ version of BNT; will be released 12/03. + + +
Pulcinella + IRIDIA + Lisp + Y + WUM + D + Y + N + N + N + 0 + D + ? + Uses valuation systems for non-probabilistic calculi. + +
RISO + Dodier (U.Colorado) + Java + Y + WUM + G + Y + N + N + N + 0 + D + Polytree + Distributed implementation. + + + +
Sam Iam + Darwiche (UCLA) + N + N ? + WU ? (Java executable) + G ? + Y + Y + N ? + Y + 0 + D + Recursive conditioning + Also does sensitivity Analysis + + +
Tetrad + CMU + N + N + WU + G + N + Y + CI + N + 0 + U,D + None + - + + +
UnBBayes + ? + Java + - + - + D + Y + N + Y + N + 0 + D + jtree + K2 for struct learning + + +
Vibes + Winn & Bishop (U. Cambridge) + Java + Y + WU + Cx + Y + Y + N + N + 0 + D + Variational + +Not yet available. + + +
Web Weaver + Xiang (U.Regina) + Java + Y + WUM + D + Y + N + N + Y + 0 + D + ? + - + +
WinMine + Microsoft + N + N + W + Cx + Y + Y + Y + N + 0 + U,D + None + Learns BN or dependency net structure. + +
XBAIES 2.0 + Cowell (City U.) + N + N + W + G + Y + Y + N + Y + 0 + CG + Jtree + - + +
+ + +

+

Other sites related to (software for) graphical models

+
    + + +
  • + +Google's list of Bayes net software. + + + +
  • +Comparison of decision analysis software packages by +Håkan L. Younes. The emphasis is on real-time decision making. + +
  • +Older belief net programs (c 1996), a list created (but no longer maintained) +by Russ Almond. + +
  • + +Repository of Bayes nets. + + diff --git a/sourcecodes/bnt-master/docs/bnt.html b/sourcecodes/bnt-master/docs/bnt.html new file mode 100644 index 00000000..d43e9fda --- /dev/null +++ b/sourcecodes/bnt-master/docs/bnt.html @@ -0,0 +1,359 @@ + +Bayes Net Toolbox for Matlab + + + + + +

    Bayes Net Toolbox for Matlab

    +Written by Kevin Murphy, 1997--2002. +Last updated: 19 October 2007. + +

    + + +
    +Matlab logo + + + + +
    +Click to subscribe to the BNT email list
    +
    +( +http://groups.yahoo.com/group/BayesNetToolbox) + +
    + + +

    +

    +

    + + + +

    Major features

    +
      + +
    • BNT supports many types of +conditional probability distributions (nodes), +and it is easy to add more. +
        +
      • Tabular (multinomial) +
      • Gaussian +
      • Softmax (logistic/ sigmoid) +
      • Multi-layer perceptron (neural network) +
      • Noisy-or +
      • Deterministic +
      +

      + +

    • BNT supports decision and utility nodes, as well as chance +nodes, +i.e., influence diagrams as well as Bayes nets. +

      + +

    • BNT supports static and dynamic BNs (useful for modelling dynamical systems +and sequence data). +

      + +

    • BNT supports many different inference algorithms, +and it is easy to add more. + +
        +
      • Exact inference for static BNs: +
          +
        • junction tree +
        • variable elimination +
        • brute force enumeration (for discrete nets) +
        • linear algebra (for Gaussian nets) +
        • Pearl's algorithm (for polytrees) +
        • quickscore (for QMR) +
        + +

        +

      • Approximate inference for static BNs: +
          +
        • likelihood weighting +
        • Gibbs sampling +
        • loopy belief propagation +
        + +

        +

      • Exact inference for DBNs: +
          +
        • junction tree +
        • frontier algorithm +
        • forwards-backwards (for HMMs) +
        • Kalman-RTS (for LDSs) +
        + +

        +

      • Approximate inference for DBNs: +
          +
        • Boyen-Koller +
        • factored-frontier/loopy belief propagation +
        + +
      +

      + +

    • +BNT supports several methods for parameter learning, +and it is easy to add more. +
        + +
      • Batch MLE/MAP parameter learning using EM. +(Each node type has its own M method, e.g. softmax nodes use IRLS,
        +and each inference engine has its own E method, so the code is fully modular.) + +
      • Sequential/batch Bayesian parameter learning (for fully observed tabular nodes only). +
      + + +

      +

    • +BNT supports several methods for regularization, +and it is easy to add more. +
        +
      • Any node can have its parameters clamped (made non-adjustable). +
      • Any set of compatible nodes can have their parameters tied (c.f., +weight sharing in a neural net). +
      • Some node types (e.g., tabular) supports priors for MAP estimation. +
      • Gaussian covariance matrices can be declared full or diagonal, and can +be tied across states of their discrete parents (if any). +
      + +

      +

    • +BNT supports several methods for structure learning, +and it is easy to add more. +
        + +
      • Bayesian structure learning, +using MCMC or local search (for fully observed tabular nodes only). + +
      • Constraint-based structure learning (IC/PC and IC*/FCI). +
      + + +

      +

    • The source code is extensively documented, object-oriented, and free, making it +an excellent tool for teaching, research and rapid prototyping. + +
    + + + +

    Supported probabilistic models

    +

    +It is trivial to implement all of +the following probabilistic models using the toolbox. +

      +
    • Static +
        +
      • Linear regression, logistic regression, hierarchical mixtures of experts + +
      • Naive Bayes classifiers, mixtures of Gaussians, +sigmoid belief nets + +
      • Factor analysis, probabilistic +PCA, probabilistic ICA, mixtures of these models + +
      + +
    • Dynamic +
        + +
      • HMMs, Factorial HMMs, coupled HMMs, input-output HMMs, DBNs + +
      • Kalman filters, ARMAX models, switching Kalman filters, +tree-structured Kalman filters, multiscale AR models + +
      + +
    • Many other combinations, for which there are (as yet) no names! + +
    + + + + + + +

    Why do I give the code away?

    + +
      + +
    • +I was hoping for a Linux-style effect, whereby people would contribute +their own Matlab code so that the package would grow. With a few +exceptions, this has not happened, +although several people have provided bug-fixes (see the acknowledgements). +Perhaps the Open +Bayes Project will be more +succesful in this regard, although the evidence to date is not promising. + +

      +

    • +Knowing that someone else might read your code forces one to +document it properly, a good practice in any case, as anyone knows who +has revisited old code. +In addition, by having many "eye balls", it is easier to spot bugs. + + +

      +

    • +I believe in the concept of + +reproducible research. +Good science requires that other people be able +to replicate your experiments. +Often a paper does not give enough details about how exactly an +algorithm was implemented (e.g., how were the parameters chosen? what +initial conditions were used?), and these can make a big difference in +practice. +Hence one should release the code that +was actually used to generate the results in one's paper. +This also prevents re-inventing the wheel. + +

      +

    • +I was fed up with reading papers where all people do is figure out how +to do exact inference and/or learning +in a model which is just a trivial special case of a general Bayes net, e.g., +input-output HMMs, coupled-HMMs, auto-regressive HMMs. +My hope is that, by releasing general purpose software, the field can +move on to more interesting questions. +As Alfred North Whitehead said in 1911, +"Civilization advances by extending the number of important operations +that we can do without thinking about them." + +
    + + + + + +

    Why Matlab?

    + +Matlab is an interactive, matrix-oriented programming language that +enables one to express one's (mathematical) ideas very concisely and directly, +without having to worry about annoying details like memory allocation +or type checking. This considerably reduces development time and +keeps code short, readable and fully portable. +Matlab has excellent built-in support for many data analysis and +visualization routines. In addition, there are many useful toolboxes, e.g., for +neural networks, signal and image processing. +The main disadvantages of Matlab are that it can be slow (which is why +we are currently rewriting parts of BNT in C), and that the commercial +license is expensive (although the student version is only $100 in the US). +

    +Many people ask me why I did not use +Octave, +an open-source Matlab clone. +The reason is that +Octave does not support multi-dimensional arrays, +cell arrays, objects, etc. +

    +Click here for a more detailed +comparison of matlab and other languages. + + + +

    Acknowledgments

    + +I would like to thank numerous people for bug fixes, including: +Rainer Deventer, Michael Robert James, Philippe Leray, Pedrito Maynard-Reid II, Andrew Ng, +Ron Parr, Ilya Shpitser, Xuejing Sun, Ursula Sondhauss. +

    +I would like to thank the following people for contributing code: +Pierpaolo Brutti, Ali Taylan Cemgil, Tamar Kushnir, +Tom Murray, +Nicholas Saunier, +Ken Shan, +Yair Weiss, +Bob Welch, +Ron Zohar. +

    +The following Intel employees have also contributed code: +Qian Diao, Shan Huang, Yimin Zhang and especially Wei Hu. + +

    +I would like to thank Stuart Russell for funding me over the years as +I developed BNT, and Gary Bradksi for hiring me as an intern at Intel, +which has supported much of the recent developments of BNT. + + + + diff --git a/sourcecodes/bnt-master/docs/bnt_download.html b/sourcecodes/bnt-master/docs/bnt_download.html new file mode 100644 index 00000000..83d32bf4 --- /dev/null +++ b/sourcecodes/bnt-master/docs/bnt_download.html @@ -0,0 +1,16 @@ +Download BNT + +Download BNT from BNT sourceforge site + + + + + + + +

    +Download BNT +

    +--> diff --git a/sourcecodes/bnt-master/docs/bnt_pre_sf.html b/sourcecodes/bnt-master/docs/bnt_pre_sf.html new file mode 100644 index 00000000..9b1fe2cb --- /dev/null +++ b/sourcecodes/bnt-master/docs/bnt_pre_sf.html @@ -0,0 +1,350 @@ + +Bayes Net Toolbox for Matlab + + + + + +

    Bayes Net Toolbox for Matlab

    +Written by Kevin Murphy. +
    +BNT is now available from sourceforge! + +

    + +

    + + +
    +Matlab logo + + + + +
    +Click to subscribe to the BNT email list
    +
    +( +http://groups.yahoo.com/group/BayesNetToolbox) + +
    + + +

    +

    +

    + + + +

    Major features

    +
      + +
    • BNT supports many types of +conditional probability distributions (nodes), +and it is easy to add more. +
        +
      • Tabular (multinomial) +
      • Gaussian +
      • Softmax (logistic/ sigmoid) +
      • Multi-layer perceptron (neural network) +
      • Noisy-or +
      • Deterministic +
      +

      + +

    • BNT supports decision and utility nodes, as well as chance +nodes, +i.e., influence diagrams as well as Bayes nets. +

      + +

    • BNT supports static and dynamic BNs (useful for modelling dynamical systems +and sequence data). +

      + +

    • BNT supports many different inference algorithms, +and it is easy to add more. + +
        +
      • Exact inference for static BNs: +
          +
        • junction tree +
        • variable elimination +
        • brute force enumeration (for discrete nets) +
        • linear algebra (for Gaussian nets) +
        • Pearl's algorithm (for polytrees) +
        • quickscore (for QMR) +
        + +

        +

      • Approximate inference for static BNs: +
          +
        • likelihood weighting +
        • Gibbs sampling +
        • loopy belief propagation +
        + +

        +

      • Exact inference for DBNs: +
          +
        • junction tree +
        • frontier algorithm +
        • forwards-backwards (for HMMs) +
        • Kalman-RTS (for LDSs) +
        + +

        +

      • Approximate inference for DBNs: +
          +
        • Boyen-Koller +
        • factored-frontier/loopy belief propagation +
        + +
      +

      + +

    • +BNT supports several methods for parameter learning, +and it is easy to add more. +
        + +
      • Batch MLE/MAP parameter learning using EM. +(Each node type has its own M method, e.g. softmax nodes use IRLS,
        +and each inference engine has its own E method, so the code is fully modular.) + +
      • Sequential/batch Bayesian parameter learning (for fully observed tabular nodes only). +
      + + +

      +

    • +BNT supports several methods for regularization, +and it is easy to add more. +
        +
      • Any node can have its parameters clamped (made non-adjustable). +
      • Any set of compatible nodes can have their parameters tied (c.f., +weight sharing in a neural net). +
      • Some node types (e.g., tabular) supports priors for MAP estimation. +
      • Gaussian covariance matrices can be declared full or diagonal, and can +be tied across states of their discrete parents (if any). +
      + +

      +

    • +BNT supports several methods for structure learning, +and it is easy to add more. +
        + +
      • Bayesian structure learning, +using MCMC or local search (for fully observed tabular nodes only). + +
      • Constraint-based structure learning (IC/PC and IC*/FCI). +
      + + +

      +

    • The source code is extensively documented, object-oriented, and free, making it +an excellent tool for teaching, research and rapid prototyping. + +
    + + + +

    Supported probabilistic models

    +

    +It is trivial to implement all of +the following probabilistic models using the toolbox. +

      +
    • Static +
        +
      • Linear regression, logistic regression, hierarchical mixtures of experts + +
      • Naive Bayes classifiers, mixtures of Gaussians, +sigmoid belief nets + +
      • Factor analysis, probabilistic +PCA, probabilistic ICA, mixtures of these models + +
      + +
    • Dynamic +
        + +
      • HMMs, Factorial HMMs, coupled HMMs, input-output HMMs, DBNs + +
      • Kalman filters, ARMAX models, switching Kalman filters, +tree-structured Kalman filters, multiscale AR models + +
      + +
    • Many other combinations, for which there are (as yet) no names! + +
    + + + + + + +

    Why do I give the code away?

    + +
      + +
    • +I was hoping for a Linux-style effect, whereby people would contribute +their own Matlab code so that the package would grow. With a few +exceptions, this has not happened, +although several people have provided bug-fixes (see the acknowledgements). +Perhaps the Open +Bayes Project will be more +succesful in this regard, although the evidence to date is not promising. + +

      +

    • +Knowing that someone else might read your code forces one to +document it properly, a good practice in any case, as anyone knows who +has revisited old code. +In addition, by having many "eye balls", it is easier to spot bugs. + + +

      +

    • +I believe in the concept of + +reproducible research. +Good science requires that other people be able +to replicate your experiments. +Often a paper does not give enough details about how exactly an +algorithm was implemented (e.g., how were the parameters chosen? what +initial conditions were used?), and these can make a big difference in +practice. +Hence one should release the code that +was actually used to generate the results in one's paper. +This also prevents re-inventing the wheel. + +

      +

    • +I was fed up with reading papers where all people do is figure out how +to do exact inference and/or learning +in a model which is just a trivial special case of a general Bayes net, e.g., +input-output HMMs, coupled-HMMs, auto-regressive HMMs. +My hope is that, by releasing general purpose software, the field can +move on to more interesting questions. +As Alfred North Whitehead said in 1911, +"Civilization advances by extending the number of important operations +that we can do without thinking about them." + +
    + + + + + +

    Why Matlab?

    + +Matlab is an interactive, matrix-oriented programming language that +enables one to express one's (mathematical) ideas very concisely and directly, +without having to worry about annoying details like memory allocation +or type checking. This considerably reduces development time and +keeps code short, readable and fully portable. +Matlab has excellent built-in support for many data analysis and +visualization routines. In addition, there are many useful toolboxes, e.g., for +neural networks, signal and image processing. +The main disadvantages of Matlab are that it can be slow (which is why +we are currently rewriting parts of BNT in C), and that the commercial +license is expensive (although the student version is only $100 in the US). +

    +Many people ask me why I did not use +Octave, +an open-source Matlab clone. +The reason is that +Octave does not support multi-dimensional arrays, +cell arrays, objects, etc. +

    +Click here for a more detailed +comparison of matlab and other languages. + + + +

    Acknowledgments

    + +I would like to thank numerous people for bug fixes, including: +Rainer Deventer, Michael Robert James, Philippe Leray, Pedrito Maynard-Reid II, Andrew Ng, +Ron Parr, Ilya Shpitser, Xuejing Sun, Ursula Sondhauss. +

    +I would like to thank the following people for contributing code: +Pierpaolo Brutti, Ali Taylan Cemgil, Tamar Kushnir, Ken Shan, +Yair Weiss, +Ron Zohar. +

    +The following Intel employees have also contributed code: +Qian Diao, Shan Huang, Yimin Zhang and especially Wei Hu. + +

    +I would like to thank Stuart Russell for funding me over the years as +I developed BNT, and Gary Bradksi for hiring me as an intern at Intel, +which has supported much of the recent developments of BNT. + + + + diff --git a/sourcecodes/bnt-master/docs/cellarray.html b/sourcecodes/bnt-master/docs/cellarray.html new file mode 100644 index 00000000..19a8da21 --- /dev/null +++ b/sourcecodes/bnt-master/docs/cellarray.html @@ -0,0 +1,59 @@ +Cell arrays are a little tricky in Matlab. +Consider this example. + +C=num2cell(rand(2,3)) +C = + [0.4565] [0.8214] [0.6154] + [0.0185] [0.4447] [0.7919] + +C{1,2} % this is the contents of this cell (could be a vector or a string) +ans = + 0.8214 + +C{1:2,2} % this is the contents of these cells - returns multiple +answers! +ans = + 0.8214 +ans = + 0.4447 + +A = C(1:2,2) % this is a slice of the cell array +ans = + [0.8214] + [0.4447] + +A{1} % A is itself a cell array +ans = + 0.8214 + + + +>> C(1:2,2)=0 % can't assign a scalar to a cell array +C(1:2,2)=0 +??? Conversion to cell from double is not possible. + + +>> C(1:2,2)={0;0} % can assign a cell array to a cell array +C(1:2,2)={0;0} +C = + [0.4565] [0] [0.6154] + [0.0185] [0] [0.7919] + + +BTW, I use cell arrays for evidence for 2 reasons: + +1. [] indicates missing values +2. it can easily represent vector-valued nodes + +The following example makes this clear + +C{1,1} = [] +C{2,1} = rand(3,1) + +C = + [] [0] [0.6154] + [3x1 double] [0] [0.7919] + + +Hope this helps, +Kevin diff --git a/sourcecodes/bnt-master/docs/changelog.html b/sourcecodes/bnt-master/docs/changelog.html new file mode 100644 index 00000000..23f7a9a3 --- /dev/null +++ b/sourcecodes/bnt-master/docs/changelog.html @@ -0,0 +1,1617 @@ +History of changes to BNT +

    History of changes to BNT

    + + +

    Changes since 4 Oct 2007

    + +
    +- 19 Oct 07 murphyk
    +
    +* BNT\CPDs\@noisyor_CPD\CPD_to_CPT.m: 2nd half of the file is a repeat
    +of the first half and was deleted (thanks to Karl Kuschner)
    +
    +* KPMtools\myismember.m should return logical for use in "assert" so add line at end
    +                p=logical(p);  this prevents "assert" from failing on an integer input.
    +(thanks to Karl Kuschner)
    +
    +
    +
    +- 17 Oct 07 murphyk
    +
    +* Updated subv2ind and ind2subv in KPMtools to Tom Minka's implementation.
    +His ind2subv is faster (vectorized), but I had to modify it so it
    +matched the behavior of my version when called with siz=[].
    +His subv2inv is slightly simpler than mine because he does not treat
    +the siz=[2 2 ... 2] case separately.
    +Note: there is now no need to ever use the C versions of these
    +functions (or any others, for that matter).
    +
    +* removed BNT/add_BNT_to_path since no longer needed.
    +
    +
    +
    +- 4 Oct 07 murphyk
    +
    +*  moved code from sourceforge to UBC website, made version 1.0.4
    +
    +* @pearl_inf_engine/pearl_inf_engine line 24, default
    +argument for protocol changed from [] to 'parallel'.
    +Also, changed private/parallel_protocol so it doesn't write to an
    +empty file id (Matlab 7 issue)
    +
    +* added foptions (Matlab 7 issue)
    +
    +* changed genpathKPM to exclude svn. Put it in toplevel directory to
    +massively simplify the installation process.
    +
    +
    + + +

    Sourceforge changelog

    + +BNT was first ported to sourceforge on 28 July 2001 by yozhik. +BNT was removed from sourceforge on 4 October 2007 by Kevin Murphy; +that version is cached as FullBNT-1.0.3.zip. +See Changelog from +sourceforge for a history of that version of the code, +which formed the basis of the branch currently on Murphy's web page. + + +

    Changes from August 1998 -- July 2004

    + +Kevin Murphy made the following changes to his own private copy. +(Other small changes were made between July 2004 and October 2007, but were +not documented.) +These may or may not be reflected in the sourceforge version of the +code (which was independently maintained). + + +
      +
    • 9 June 2004 +
        +
      • Changed tabular_CPD/learn_params back to old syntax, to make it +compatible with gaussian_CPD/learn_params (and re-enabled +generic_CPD/learn_params). +Modified learning/learn_params.m and learning/score_family +appropriately. +(In particular, I undid the change Sonia Leach had to make to +score_family to handle this asymmetry.) +Added examples/static/gaussian2 to test this new functionality. + +
      • Added bp_mrf2 (for generic pairwise MRFs) to +inference/static/@bp_belprop_mrf2_inf_engine. [MRFs are not +"officially" supported in BNT, so this code is just for expert +hackers.] + +
      • Added examples/static/nodeorderExample.m to illustrate importance +of using topological ordering. + +
      • Ran dos2unix on all *.c files within BNT to eliminate compiler +warnings. + +
      + +
    • 7 June 2004 +
        +
      • Replaced normaliseC with normalise in HMM/fwdback, for maximum +portability (and negligible loss in speed). +
      • Ensured FullBNT versions of HMM, KPMstats etc were as up-to-date +as stand-alone versions. +
      • Changed add_BNT_to_path so it no longer uses addpath(genpath()), +which caused Old versions of files to mask new ones. +
      + +
    • 18 February 2004 +
        +
      • A few small bug fixes to BNT, as posted to the Yahoo group. +
      • Several new functions added to KPMtools, KPMstats and Graphviz +(none needed by BNT). +
      • Added CVS to some of my toolboxes. +
      + +
    • 30 July 2003 +
        +
      • qian.diao fixed @mpot/set_domain_pot and @cgpot/set_domain_pot +
      • Marco Grzegorczyk found, and Sonia Leach fixed, a bug in +do_removal inside learn_struct_mcmc +
      + + +
    • 28 July 2003 +
        +
      • Sebastian Luehr provided 2 minor bug fixes, to HMM/fwdback (if any(scale==0)) +and FullBNT\HMM\CPDs\@hhmmQ_CPD\update_ess.m (wrong transpose). +
      + +
    • 8 July 2003 +
        +
      • Removed buggy BNT/examples/static/MRF2/Old/mk_2D_lattice.m which was +masking correct graph/mk_2D_lattice. +
      • Fixed bug in graph/mk_2D_lattice_slow in the non-wrap-around case +(line 78) +
      + + +
    • 2 July 2003 +
        +
      • Sped up normalize(., 1) in KPMtools by avoiding general repmat +
      • Added assign_cols and marginalize_table to KPMtools +
      + + +
    • 29 May 2003 +
        +
      • Modified KPMstats/mixgauss_Mstep so it repmats Sigma in the tied +covariance case (bug found by galt@media.mit.edu). + +
      • Bob Welch found bug in gaussian_CPDs/maximize_params in the way +cpsz was computed. + +
      • Added KPMstats/mixgauss_em, because my code is easier to +understand/modify than netlab's (at least for me!). + +
      • Modified BNT/examples/dynamic/viterbi1 to call multinomial_prob +instead of mk_dhmm_obs_lik. + +
      • Moved parzen window and partitioned models code to KPMstats. + +
      • Rainer Deventer fixed some bugs in his scgpot code, as follows: +1. complement_pot.m +Problems occured for probabilities equal to zero. The result is an +division by zero error. +
        +2. normalize_pot.m +This function is used during the calculation of the log-likelihood. +For a probability of zero a warning "log of zero" occurs. I have not +realy fixed the bug. As a workaround I suggest to calculate the +likelihhod based on realmin (the smallest real number) instead of +zero. +
        +3. recursive_combine_pots +At the beginning of the function there was no test for the trivial case, +which defines the combination of two potentials as equal to the direct +combination. The result might be an infinite recursion which leads to +a stack overflow in matlab. +
      + + + +
    • 11 May 2003 +
        +
      • Fixed bug in gaussian_CPD/maximize_params so it is compatible +with the new clg_Mstep routine +
      • Modified KPMstats/cwr_em to handle single cluster case +separately. +
      • Fixed bug in netlab/gmminit. +
      • Added hash tables to KPMtools. +
      + + +
    • 4 May 2003 +
        +
      • +Renamed many functions in KPMstats so the name of the +distribution/model type comes first, +Mstep_clg -> clg_Mstep, +Mstep_cond_gauss -> mixgauss_Mstep. +Also, renamed eval_pdf_xxx functions to xxx_prob, e.g. +eval_pdf_cond_mixgauss -> mixgauss_prob. +This is simpler and shorter. + +
      • +Renamed many functions in HMM toolbox so the name of the +distribution/model type comes first, +log_lik_mhmm -> mhmm_logprob, etc. +mk_arhmm_obs_lik has finally been re-implemented in terms of clg_prob +and mixgauss_prob (for slice 1). +Removed the Demos directory, and put them in the main directory. +This code is not backwards compatible. + +
      • Removed some of the my_xxx functions from KPMstats (these were +mostly copies of functions from the Mathworks stats toolbox). + + +
      • Modified BNT to take into account changes to KPMstats and +HMM toolboxes. + +
      • Fixed KPMstats/Mstep_clg (now called clg_Mstep) for spherical Gaussian case. +(Trace was wrongly parenthesised, and I used YY instead of YTY. +The spherical case now gives the same result as the full case +for cwr_demo.) +Also, mixgauss_Mstep now adds 0.01 to the ML estimate of Sigma, +to act as a regularizer (it used to add 0.01 to E[YY'], but this was +ignored in the spherical case). + +
      • Added cluster weighted regression to KPMstats. + +
      • Added KPMtools/strmatch_substr. +
      + + + +
    • 28 Mar 03 +
        +
      • Added mc_stat_distrib and eval_pdf_cond_prod_parzen to KPMstats +
      • Fixed GraphViz/arrow.m incompatibility with matlab 6.5 +(replace all NaN's with 0). +Modified GraphViz/graph_to_dot so it also works on windows. +
      • I removed dag_to_jtree and added graph_to_jtree to the graph +toolbox; the latter expects an undirected graph as input. +
      • I added triangulate_2Dlattice_demo.m to graph. +
      • Rainer Deventer fixed the stable conditional Gaussian potential +classes (scgpot and scgcpot) and inference engine +(stab_cond_gauss_inf_engine). +
      • Rainer Deventer added (stable) higher-order Markov models (see +inference/dynamic/@stable_ho_inf_engine). +
      + + +
    • 14 Feb 03 +
        +
      • Simplified learning/learn_params so it no longer returns BIC +score. Also, simplified @tabular_CPD/learn_params so it only takes +local evidence. +Added learn_params_dbn, which does ML estimation of fully observed +DBNs. +
      • Vectorized KPMstats/eval_pdf_cond_mixgauss for tied Sigma +case (much faster!). +Also, now works in log-domain to prevent underflow. +eval_pdf_mixgauss now calls eval_pdf_cond_mixgauss and inherits these benefits. +
      • add_BNT_to_path now calls genpath with 2 arguments if using +matlab version 5. +
      + + +
    • 30 Jan 03 +
        +
      • Vectorized KPMstats/eval_pdf_cond_mixgauss for scalar Sigma +case (much faster!) +
      • Renamed mk_dotfile_from_hmm to draw_hmm and moved it to the +GraphViz library. +
      • Rewrote @gaussian_CPD/maximize_params.m so it calls +KPMstats/Mstep_clg. +This fixes bug when using clamped means (found by Rainer Deventer +and Victor Eruhimov) +and a bug when using a Wishart prior (no gamma term in the denominator). +It is also easier to read. +I rewrote the technical report re-deriving all the equations in a +clearer notation, making the solution to the bugs more obvious. +(See www.ai.mit.edu/~murphyk/Papers/learncg.pdf) +Modified Mstep_cond_gauss to handle priors. +
      • Fixed bug reported by Ramgopal Mettu in which add_BNT_to_path +calls genpath with only 1 argument, whereas version 5 requires 2. +
      • Fixed installC and uninstallC to search in FullBNT/BNT. +
      + + +
    • 24 Jan 03 +
        +
      • Major simplification of HMM code. +The API is not backwards compatible. +No new functionality has been added, however. +There is now only one fwdback function, instead of 7; +different behaviors are controlled through optional arguments. +I renamed 'evaluate observation likelihood' (local evidence) +to 'evaluate conditional pdf', since this is more general. +i.e., renamed +mk_dhmm_obs_lik to eval_pdf_cond_multinomial, +mk_ghmm_obs_lik to eval_pdf_cond_gauss, +mk_mhmm_obs_lik to eval_pdf_cond_mog. +These functions have been moved to KPMstats, +so they can be used by other toolboxes. +ghmm's have been eliminated, since they are just a special case of +mhmm's with M=1 mixture component. +mixgauss HMMs can now handle a different number of +mixture components per state. +init_mhmm has been eliminated, and replaced with init_cond_mixgauss +(in KPMstats) and mk_leftright/rightleft_transmat. +learn_dhmm can no longer handle inputs (although this is easy to add back). +
      + + + + + +
    • 20 Jan 03 +
        +
      • Added arrow.m to GraphViz directory, and commented out line 922, +in response to a bug report. +
      + +
    • 18 Jan 03 +
        +
      • Major restructuring of BNT file structure: +all code that is not specific to Bayes nets has been removed; +these packages must be downloaded separately. (Or just download FullBNT.) +This makes it easier to ensure different toolboxes are consistent. +misc has been slimmed down and renamed KPMtools, so it can be shared by other toolboxes, +such as HMM and Kalman; some of the code has been moved to BNT/general. +The Graphics directory has been slimmed down and renamed GraphViz. +The graph directory now has no dependence on BNT (dag_to_jtree has +been renamed graph_to_jtree and has a new API). +netlab2 no longer contains any netlab files, only netlab extensions. +None of the functionality has changed. +
      + + + +
    • 11 Jan 03 +
        +
      • jtree_dbn_inf_engine can now support soft evidence. + +
      • Rewrote graph/dfs to make it clearer. +Return arguments have changed, as has mk_rooted_tree. +The acyclicity check for large undirected graphs can cause a stack overflow. +It turns out that this was not a bug, but is because Matlab's stack depth +bound is very low by default. + +
      • Renamed examples/dynamic/filter2 to filter_test1, so it does not +conflict with the filter2 function in the image processing toolbox. + +
      • Ran test_BNT on various versions of matlab to check compatibility. +On matlab 6.5 (r13), elapsed time = 211s, cpu time = 204s. +On matlab 6.1 (r12), elapsed time = 173s, cpu time = 164s. +On matlab 5.3 (r11), elapsed time = 116s, cpu time = 114s. +So matlab is apparently getting slower with time!! +(All results were with a linux PIII machine.) +
      + + +
    • 14 Nov 02 +
        +
      • Removed all ndx inference routines, since they are only +marginally faster on toy problems, +and are slower on large problems due to having to store and lookup +the indices (causes cache misses). +In particular, I removed jtree_ndx_inf_eng and jtree_ndx_dbn_inf_eng, all the *ndx* +routines from potentials/Tables, and all the UID stuff from +add_BNT_to_path, +thus simplifying the code. +This required fixing hmm_(2TBN)_inf_engine/marginal_nodes\family, +and updating installC. + + +
      • Removed jtree_C_inf_engine and jtree_C_dbn_inf_engine. +The former is basically the same as using jtree_inf_engine with +mutliply_by_table.c and marginalize_table.c. +The latter benefited slightly by assuming potentials were tables +(arrays not objects), but these negligible savings don't justify the +complexity and code duplication. + +
      • Removed stab_cond_gauss_inf_engine and +scg_unrolled_dbn_inf_engine, +written by shan.huang@intel.com, since the code was buggy. + +
      • Removed potential_engine, which was only experimental anyway. + +
      + + + +
    • 13 Nov 02 +
        +
      • Released version 5. +The previous version, released on 7/28/02, is available +here. + +
      • Moved code and documentation to MIT. + +
      • Added repmat.c from Thomas Minka's lightspeed library. +Modified it so it can return an empty matrix. + +
      • Tomas Kocka fixed bug in the BDeu option for tabular_CPD, +and contributed graph/dag_to_eg, to convert to essential graphs. + + + +
      • Modified definition of hhmmQ_CPD, so that Qps can now accept +parents in either the current or previous slice. + +
      • Added hhmm2Q_CPD class, which is simpler than hhmmQ (no embedded +sub CPDs, etc), and which allows the conditioning parents, Qps, to +be before (in the topological ordering) the F or Q(t-1) nodes. +See BNT/examples/dynamic/HHMM/Map/mk_map_hhmm for an example. +
      + + +
    • 7/28/02 +
        +
      • Changed graph/best_first_elim_order from min-fill to min-weight. +
      • Ernest Chan fixed bug in Kalman/sample_lds (G{i} becomes G{m} in +line 61). +
      • Tal Blum fixed bug in HMM/init_ghmm (Q +becomes K, the number of states). +
      • Fixed jtree_2tbn_inf_engine/set_fields so it correctly sets the +maximize flag to 1 even in subengines. +
      • Gary Bradksi did a simple mod to the PC struct learn alg so you can pass it an +adjacency matrix as a constraint. Also, CovMat.m reads a file and +produces a covariance matrix. +
      • KNOWN BUG in CPDs/@hhmmQ_CPD/update_ess.m at line 72 caused by +examples/dynamic/HHMM/Square/learn_square_hhmm_cts.m at line 57. +
      • +The old version is available from www.cs.berkeley.edu/~murphyk/BNT.24june02.zip +
      + + +
    • 6/24/02 +
        +
      • Renamed dag_to_dot as graph_to_dot and added support for +undirected graphs. +
      • Changed syntax for HHMM CPD constructors: no need to specify d/D +anymore,so they can be used for more complex models. +
      • Removed redundant first argument to mk_isolated_tabular_CPD. +
      + + +
    • 6/19/02 +
        +
      • +Fixed most probable explanation code. +Replaced calc_mpe with find_mpe, which is now a method of certain +inference engines, e.g., jtree, belprop. +calc_mpe_global has become the find_mpe method of global_joint. +calc_mpe_bucket has become the find_mpe method of var_elim. +calc_mpe_dbn has become the find_mpe method of smoother. +These routines now correctly find the jointly most probable +explanation, instead of the marginally most probable assignments. +See examples/static/mpe1\mpe2 and examples/dynamic/viterbi1 +for examples. +Removed maximize flag from constructor and enter_evidence +methods, since this no longer needs to be specified by the user. + +
      • Rainer Deventer fixed in a bug in +CPDs/@gaussian_CPD/udpate_ess.m: +now, hidden_cps = any(hidden_bitv(cps)), whereas it used to be +hidden_cps = all(hidden_bitv(cps)). + +
      + + +
    • 5/29/02 +
        +
      • CPDs/@gaussian_CPD/udpate_ess.m fixed WX,WXX,WXY (thanks to Rainer Deventer and +Yohsuke Minowa for spotting the bug). Does the C version work?? +
      • potentials/@cpot/mpot_to_cpot fixed K==0 case (thanks to Rainer Deventer). +
      • CPDs/@gaussian_CPD/log_prob_node now accepts non-cell array data +on self (thanks to rishi for catching this). +
      + + +
    • 5/19/02 +
        + + + +
      • Wei Hu made the following changes. +
          +
        • Memory leak repair: + a. distribute_evidence.c in static/@jtree_C directory + b. distribute_evidence.c in static/@jtree_ndx directory + c. marg_tablec. in Tables dir + +
        • Add "@jtree_ndx_2TBN_inf_engine" in inference/online dir + +
        • Add "@jtree_sparse_inf_engine" in inference/static dir + +
        • Add "@jtree_sparse_2TBN_inf_engine" in inference/online dir + +
        • Modify "tabular_CPD.m" in CPDs/@tabular_CPD dir , used for sparse + +
        • In "@discrete_CPD" dir: + a. modify "convert_to_pot.m", used for sparse + b. add "convert_to_sparse_table.c" + +
        • In "potentials/@dpot" dir: + a. remove "divide_by_pot.c" and "multiply_by_pot.c" + b. add "divide_by_pot.m" and "multiply_by_pot.m" + c. modify "dpot.m", "marginalize_pot.m" and "normalize_pot.m" + +
        • In "potentials/Tables" dir: + a. modify mk_ndxB.c;(for speedup) + b. add "mult_by_table.m", + "divide_by_table.m", + "divide_by_table.c", + "marg_sparse_table.c", + "mult_by_sparse_table.c", + "divide_by_sparse_table.c". + +
        • Modify "normalise.c" in misc dir, used for sparse. + +
        • And, add discrete2, discrete3, filter2 and filter3 as test applications in test_BNT.m +Modify installC.m +
        + +
      • Kevin made the following changes related to strong junction +trees: +
          +
        • jtree_inf_engin line 75: +engine.root_clq = length(engine.cliques); +the last clq is guaranteed to be a strong root + +
        • dag_to_jtree line 38: [jtree, root, B, w] = +cliques_to_jtree(cliques, ns); +never call cliques_to_strong_jtree + +
        • strong_elim_order: use Ilya's code instead of topological sorting. +
        + +
      • Kevin fixed CPDs/@generic_CPD/learn_params, so it always passes +in the correct hidden_bitv field to update_params. + +
      . + + +
    • 5/8/02 +
        + +
      • Jerod Weinman helped fix some bugs in HHMMQ_CPD/maximize_params. + +
      • Removed broken online inference from hmm_inf_engine. +It has been replaced filter_inf_engine, which can take hmm_inf_engine +as an argument. + +
      • Changed graph visualization function names. +'draw_layout' is now 'draw_graph', +'draw_layout_dbn' is now 'draw_dbn', +'plotgraph' is now 'dag_to_dot', +'plothmm' is now 'hmm_to_dot', +added 'dbn_to_dot', +'mkdot' no longer exists': its functioality has been subsumed by dag_to_dot. +The dot functions now all take optional args in string/value format. +
      + + +
    • 4/1/02 +
        +
      • Added online inference classes. +See BNT/inference/online and BNT/examples/dynamic/filter1. +This is work in progress. +
      • Renamed cmp_inference to cmp_inference_dbn, and made its + interface and behavior more similar to cmp_inference_static. +
      • Added field rep_of_eclass to bnet and dbn, to simplify +parameter tying (see ~murphyk/Bayes/param_tieing.html). +
      • Added gmux_CPD (Gaussian mulitplexers). +See BNT/examples/dynamic/SLAM/skf_data_assoc_gmux for an example. +
      • Modified the forwards sampling routines. +general/sample_dbn and sample_bnet now take optional arguments as +strings, and can sample with pre-specified evidence. +sample_bnet can only generate a single sample, and it is always a cell +array. +sample_node can only generate a single sample, and it is always a +scalar or vector. +This eliminates the false impression that the function was +ever vectorized (which was only true for tabular_CPDs). +(Calling sample_bnet inside a for-loop is unlikely to be a bottleneck.) +
      • Updated usage.html's description of CPDs (gmux) and inference +(added gibbs_sampling and modified the description of pearl). +
      • Modified BNT/Kalman/kalman_filter\smoother so they now optionally +take an observed input (control) sequence. +Also, optional arguments are now passed as strings. +
      • Removed BNT/examples/static/uci_data to save space. +
      + +
    • 3/14/02 +
        +
      • pearl_inf_engine now works for (vector) Gaussian nodes, as well +as discrete. compute_pi has been renamed CPD_to_pi. compute_lambda_msg + has been renamed CPD_to_lambda_msg. These are now implemented for + the discrete_CPD class instead of tabular_CPD. noisyor and + Gaussian have their own private implemenations. +Created examples/static/Belprop subdirectory. +
      • Added examples/dynamic/HHMM/Motif. +
      • Added Matt Brand's entropic prior code. +
      • cmp_inference_static has changed. It no longer returns err. It + can check for convergence. It can accept 'observed'. +
      + + +
    • 3/4/02 +
        +
      • Fixed HHMM code. Now BNT/examples/dynamic/HHMM/mk_abcd_hhmm +implements the example in the NIPS paper. See also +Square/sample_square_hhmm_discrete and other files. + +
      • Included Bhaskara Marthi's gibbs_sampling_inf_engine. Currently +this only works if all CPDs are tabular and if you call installC. + +
      • Modified Kalman/tracking_demo so it calls plotgauss2d instead of + gaussplot. + +
      • Included Sonia Leach's speedup of mk_rnd_dag. +My version created all NchooseK subsets, and then picked among them. Sonia +reorders the possible parents randomly and choose +the first k. This saves on having to enumerate the large number of +possible subsets before picking from one. + +
      • Eliminated BNT/inference/static/Old, which contained some old +.mexglx files which wasted space. +
      + + + +
    • 2/15/02 +
        +
      • Removed the netlab directory, since most of it was not being +used, and it took up too much space (the goal is to have BNT.zip be +less than 1.4MB, so if fits on a floppy). +The required files have been copied into netlab2. +
      + +
    • 2/14/02 +
        +
      • Shan Huang fixed most (all?) of the bugs in his stable CG code. +scg1-3 now work, but scg_3node and scg_unstable give different + behavior than that reported in the Cowell book. + +
      • I changed gaussplot so it plots an ellipse representing the + eigenvectors of the covariance matrix, rather than numerically + evaluating the density and using a contour plot; this + is much faster and gives better pictures. The new function is + called plotgauss2d in BNT/Graphics. + +
      • Joni Alon fixed some small bugs: + mk_dhmm_obs_lik called forwards with the wrong args, and + add_BNT_to_path should quote filenames with spaces. + +
      • I added BNT/stats2/myunidrnd which is called by learn_struct_mcmc. + +
      • I changed BNT/potentials/@dpot/multiply_by_dpot so it now says +Tbig.T(:) = Tbig.T(:) .* Ts(:); +
      + + +
    • 2/6/02 +
        +
      • Added hierarchical HMMs. See BNT/examples/dynamic/HHMM and +CPDs/@hhmmQ_CPD and @hhmmF_CPD. +
      • sample_dbn can now sample until a certain condition is true. +
      • Sonia Leach fixed learn_struct_mcmc and changed mk_nbrs_of_digraph +so it only returns DAGs. +Click here for details of her changes. +
      + + +
    • 2/4/02 +
        +
      • Wei Hu fixed a bug in +jtree_ndx_inf_engine/collect\distribute_evidence.c which failed when +maximize=1. +
      • +I fixed various bugs to do with conditional Gaussians, +so mixexp3 now works (thansk to Gerry Fung + for spotting the error). Specifically: +Changed softmax_CPD/convert_to_pot so it now puts cts nodes in cdom, and no longer inherits + this function from discrete_CPD. + Changed root_CPD/convert_to_put so it puts self in cdom. +
      + + +
    • 1/31/02 +
        +
      • Fixed log_lik_mhmm (thanks to ling chen +for spotting the typo) +
      • Now many scripts in examples/static call cmp_inference_static. +Also, SCG scripts have been simplified (but still don't work!). +
      • belprop and belprop_fg enter_evidence now returns [engine, ll, + niter], with ll=0, so the order of the arguments is compatible with other engines. +
      • Ensured that all enter_evidence methods support optional + arguments such as 'maximize', even if they ignore them. +
      • Added Wei Hu's potentials/Tables/rep_mult.c, which is used to + totally eliminate all repmats from gaussian_CPD/update_ess. +
      + + +
    • 1/30/02 +
        +
      • update_ess now takes hidden_bitv instead of hidden_self and +hidden_ps. This allows gaussian_CPD to distinguish hidden discrete and +cts parents. Now learn_params_em, as well as learn_params_dbn_em, + passes in this info, for speed. + +
      • gaussian_CPD update_ess is now vectorized for any case where all + the continuous nodes are observed (eg., Gaussian HMMs, AR-HMMs). + +
      • mk_dbn now automatically detects autoregressive nodes. + +
      • hmm_inf_engine now uses indexes in marginal_nodes/family for + speed. Marginal_ndoes can now only handle single nodes. + (SDndx is hard-coded, to avoid the overhead of using marg_ndx, + which is slow because of the case and global statements.) + +
      • add_ev_to_dmarginal now retains the domain field. + +
      • Wei Hu wrote potentials/Tables/repmat_and_mult.c, which is used to + avoid some of the repmat's in gaussian_CPD/update_ess. + +
      • installC now longer sets the global USEC, since USEC is set to 0 + by add_BNT_to_path, even if the C files have already been compiled + in a previous session. Instead, gaussian_CPD checks to + see if repmat_and_mult exists, and (bat1, chmm1, water1, water2) + check to see if jtree_C_inf_engine/collect_evidence exists. + Note that checking if a file exists is slow, so we do the check + inside the gaussian_CPD constructor, not inside update_ess. + +
      • uninstallC now deletes both .mex and .dll files, just in case I + accidently ship a .zip file with binaries. It also deletes mex + files from jtree_C_inf_engine. + +
      • Now marginal_family for both jtree_limid_inf_engine and + global_joint_inf_engine returns a marginal structure and + potential, as required by solve_limid. + Other engines (eg. jtree_ndx, hmm) are not required to return a potential. +
      + + + +
    • 1/22/02 +
        +
      • Added an optional argument to mk_bnet and mk_dbn which lets you +add names to nodes. This uses the new assoc_array class. + +
      • Added Yimin Zhang's (unfinished) classification/regression tree +code to CPDs/tree_CPD. + +
      + + + +
    • 1/14/02 +
        +
      • Incorporated some of Shan Huang's (still broken) stable CG code. +
      + + +
    • 1/9/02 +
        +
      • Yimin Zhang vectorized @discrete_CPD/prob_node, which speeds up +structure learning considerably. I fixed this to handle softmax CPDs. + +
      • Shan Huang changed the stable conditional Gaussian code to handle +vector-valued nodes, but it is buggy. + +
      • I vectorized @gaussian_CPD/update_ess for a special case. + +
      • Removed denom=min(1, ... Z) from gaussian_CPD/maximize_params +(added to cope with negative temperature for entropic prior), which +gives wrong results on mhmm1. +
      + + +
    • 1/7/02 + +
        +
      • Removed the 'xo' typo from mk_qmr_bnet. + +
      • convert_dbn_CPDs_to_tables has been vectorized; it is now +substantially faster to compute the conditional likelihood for long sequences. + +
      • Simplified constructors for tabular_CPD and gaussian_CPD, so they +now both only take the form CPD(bnet, i, ...) for named arguments - +the CPD('self', i, ...) format is gone. Modified mk_fgraph_given_ev +to use mk_isolated_tabular_CPD instead. + +
      • Added entropic prior to tabular and Gaussian nodes. +For tabular_CPD, changed name of arguments to the constructor to +distinguish Dirichlet and entropic priors. In particular, +tabular_CPD(bnet, i, 'prior', 2) is now +tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_weight', 2). + +
      • Added deterministic annealing to learn_params_dbn_em for use with +entropic priors. The old format learn(engine, cases, max_iter) has +been replaced by learn(engine, cases, 'max_iter', max_iter). + +
      • Changed examples/dynamic/bat1 and kjaerulff1, since default +equivalence classes have changed from untied to tied. +
      + +
    • 12/30/01 +
        +
      • DBN default equivalence classes for slice 2 has changed, so that +now parameters are tied for nodes with 'equivalent' parents in slices +1 and 2 (e.g., observed leaf nodes). This essentially makes passing in +the eclass arguments redundant (hooray!). +
      + + +
    • 12/20/01 +
        +
      • Released version 4. +Version 4 is considered a major new release +since it is not completely backwards compatible with V3. +Observed nodes are now specified when the bnet/dbn is created, +not when the engine is created. This changes the interface to many of +the engines, making the code no longer backwards compatible. +Hence support for non-named optional arguments (BNT2 style) has also +been removed; hence mk_dbn etc. requires arguments to be passed by name. + +
      • Ilya Shpitser's C code for triangulation now compiles under +Windows as well as Unix, thanks to Wei Hu. + +
      • All the ndx engines have been combined, and now take an optional +argument specifying what kind of index to use. + +
      • learn_params_dbn_em is now more efficient: +@tabular_CPD/update_ess for nodes whose families +are hidden does not need need to call add_evidence_to_dmarginal, which +is slow. + +
      • Wei Hu fixed bug in jtree_ndxD, so now the matlab and C versions +both work. + +
      • dhmm_inf_engine replaces hmm_inf_engine, since the former can +handle any kind of topology and is slightly more efficient. dhmm is +extended to handle Gaussian, as well as discrete, +observed nodes. The new hmm_inf_engine no longer supports online +inference (which was broken anyway). + +
      • Added autoregressive HMM special case to hmm_inf_engine for +speed. + +
      • jtree_ndxSD_dbn_inf_engine now computes likelihood of the +evidence in a vectorized manner, where possible, just like +hmm_inf_engine. + +
      • Added mk_limid, and hence simplified mk_bnet and mk_dbn. + + +
      • Gaussian_CPD now uses 0.01*I prior on covariance matrix by +default. To do ML estimation, set 'cov_prior_weight' to 0. + +
      • Gaussian_CPD and tabular_CPD +optional binary arguments are now set using 0/1 rather no 'no'/'yes'. + +
      • Removed Shan Huang's PDAG and decomposable graph code, which will +be put in a separate structure learning library. +
      + + +
    • 12/11/01 +
        +
      • Wei Hu fixed jtree_ndx*_dbn_inf_engine and marg_table.c. + +
      • Shan Huang contributed his implementation of stable conditional +Gaussian code (Lauritzen 1999), and methods to search through the +space of PDAGs (Markov equivalent DAGs) and undirected decomposable +graphs. The latter is still under development. +
      + + +
    • 12/10/01 +
        +
      • Included Wei Hu's new versions of the ndx* routines, which use +integers instead of doubles. The new versions are about 5 times faster +in C. In general, ndxSD is the best choice. + +
      • Fixed misc/add_ev_to_dmarginal so it works with the ndx routines +in bat1. + +
      • Added calc_mpe_dbn to do Viterbi parsing. + +
      • Updated dhmm_inf_engine so it computes marginals. +
      + + + +
    • 11/23/01 +
        +
      • learn_params now does MAP estimation (i.e., uses Dirichlet prior, +if define). Thanks to Simon Keizer skeizer@cs.utwente.nl for spotting +this. +
      • Changed plotgraph so it calls ghostview with the output of dotty, +instead of converting from .ps to .tif. The resulting image is much +easier to read. +
      • Fixed cgpot/multiply_by_pots.m. +
      • Wei Hu fixed ind2subv.c. +
      • Changed arguments to compute_joint_pot. +
      + + +
    • 11/1/01 +
        +
      • Changed sparse to dense in @dpot/multiply_pots, because sparse +arrays apparently cause a bug in the NT version of Matlab. + +
      • Fixed the bug in gaussian_CPD/log_prob_node.m which +incorrectly called the vectorized gaussian_prob with different means +when there were continuous parents and more than one case. +(Thanks to Dave Andre for finding this.) + +
      • Fixed the bug in root_CPD/convert_to_pot which did not check for +pot_type='g'. +(Thanks to Dave Andre for finding this.) + +
      • Changed calc_mpe and calc_mpe_global so they now return a cell array. + +
      • Combine pearl and loopy_pearl into a single inference engine +called 'pearl_inf_engine', which now takes optional arguments passed +in using the name/value pair syntax. +marginal_nodes/family now takes the optional add_ev argument (same as +jtree), which is the opposite of the previous shrink argument. + +
      • Created pearl_unrolled_dbn_inf_engine and "resurrected" +pearl_dbn_inf_engine in a simplified (but still broken!) form. + +
      • Wei Hi fixed the bug in ind2subv.c, so now ndxSD works. +He also made C versions of ndxSD and ndxB, and added (the unfinished) ndxD. + +
      + + +
    • 10/20/01 + +
        +
      • Removed the use_ndx option from jtree_inf, +and created 2 new inference engines: jtree_ndxSD_inf_engine and +jtree_ndxB_inf_engine. +The former stores 2 sets of indices for the small and difference +domains; the latter stores 1 set of indices for the big domain. +In Matlab, the ndxB version is often significantly faster than ndxSD +and regular jree, except when the clique size is large. +When compiled to C, the difference between ndxB and ndxSD (in terms of +speed) vanishes; again, both are faster than compiled jtree, except +when the clique size is large. +Note: ndxSD currently has a bug in it, so it gives the wrong results! +(The DBN analogs are jtree_dbn_ndxSD_inf_engine and +jtree_dbn_ndxB_inf_engine.) + +
      • Removed duplicate files from the HMM and Kalman subdirectories. +e.g., normalise is now only in BNT/misc, so when compiled to C, it +masks the unique copy of the Matlab version. +
      + + + +
    • 10/17/01 +
        +
      • Fixed bugs introduced on 10/15: +Renamed extract_gaussian_CPD_params_given_ev_on_dps.m to +gaussian_CPD_params_given_dps.m since Matlab can't cope with such long +names (this caused cg1 to fail). Fixed bug in +gaussian_CPD/convert_to_pot, which now calls convert_to_table in the +discrete case. + +
      • Fixed bug in bk_inf_engine/marginal_nodes. +The test 'if nodes < ss' is now +'if nodes <= ss' (bug fix due to Stephen seg_ma@hotmail.com) + +
      • Simplified uninstallC. +
      + + +
    • 10/15/01 +
        + +
      • Added use_ndx option to jtree_inf and jtree_dbn_inf. +This pre-computes indices for multiplying, dividing and marginalizing +discrete potentials. +This is like the old jtree_fast_inf_engine, but we use an extra level +of indirection to reduce the number of indices needed (see +uid_generator object). +Sometimes this is faster than the original way... +This is work in progress. + +
      • The constructor for dpot no longer calls myreshape, which is very +slow. +But new dpots still must call myones. +Hence discrete potentials are only sometimes 1D vectors (but should +always be thought of as multi-D arrays). This is work in progress. +
      + + +
    • 10/6/01 +
        +
      • Fixed jtree_dbn_inf_engine, and added kjaerulff1 to test this. +
      • Added option to jtree_inf_engine/marginal_nodes to return "full +sized" marginals, even on observed nodes. +
      • Clustered BK in examples/dynamic/bat1 seems to be broken, +so it has been commented out. +BK will be re-implemented on top of jtree_dbn, which should much more +efficient. +
      + +
    • 9/25/01 +
        +
      • jtree_dbn_inf_engine is now more efficient than calling BK with +clusters = exact, since it only uses the interface nodes, instead of +all of them, to maintain the belief state. +
      • Uninstalled the broken C version of strong_elim_order. +
      • Changed order of arguments to unroll_dbn_topology, so that intra1 +is no longer required. +
      • Eliminated jtree_onepass, which can be simulated by calling +collect_evidence on jtree. +
      • online1 is no longer in the test_BNT suite, since there is some +problem with online prediction with mixtures of Gaussians using BK. +This functionality is no longer supported, since doing it properly is +too much work. +
      +
    • + +
    • 9/7/01 +
        +
      • Added Ilya Shpitser's C triangulation code (43x faster!). +Currently this only compiles under linux; windows support is being added. +
      + + +
    • 9/5/01 +
        +
      • Fixed typo in CPDs/@tabular_kernel/convert_to_table (thanks, +Philippe!) +
      • Fixed problems with clamping nodes in tabular_CPD, learn_params, +learn_params_tabular, and bayes_update_params. See +BNT/examples/static/learn1 for a demo. +
      + + +
    • 9/3/01 +
        +
      • Fixed typo on line 87 of gaussian_CPD which caused error in cg1.m +
      • Installed Wei Hu's latest version of jtree_C_inf_engine, which +can now compute marginals on any clique/cluster. +
      • Added Yair Weiss's code to compute the Bethe free energy +approximation to the log likelihood in loopy_pearl (still need to add +this to belprop). The return arguments are now: engine, loglik and +niter, which is different than before. +
      + + + +
    • 8/30/01 +
        +
      • Fixed bug in BNT/examples/static/id1 which passed hard-coded +directory name to belprop_inf_engine. + +
      • Changed tabular_CPD and gaussian_CPD so they can now be created +without having to pass in a bnet. + +
      • Finished mk_fgraph_given_ev. See the fg* files in examples/static +for demos of factor graphs (work in progress). +
      + + + +
    • 8/22/01 +
        + +
      • Removed jtree_compiled_inf_engine, +since the C code it generated was so big that it would barf on large +models. + +
      • Tidied up the potentials/Tables directory. +Removed mk_marg/mult_ndx.c, +which have been superceded by the much faster mk_marg/mult_index.c +(written by Wei Hu). +Renamed the Matlab versions mk_marginalise/multiply_table_ndx.m +to be mk_marg/mult_index.m to be compatible with the C versions. +Note: nobody calls these routines anymore! +(jtree_C_inf_engine/enter_softev.c has them built-in.) +Removed mk_ndx.c, which was only used by jtree_compiled. +Removed mk_cluster_clq_ndx.m, mk_CPD_clq_ndx, and marginalise_table.m +which were not used. +Moved shrink_obs_dims_in_table.m to misc. + +
      • In potentials/@dpot directory: removed multiply_by_pot_C_old.c. +Now marginalize_pot.c can handle maximization, +and divide_by_pot.c has been implmented. +marginalize/multiply/divide_by_pot.m no longer have useC or genops options. +(To get the C versions, use installC.m) + +
      • Removed useC and genops options from jtree_inf_engine.m +To use the C versions, install the C code. + +
      • Updated BNT/installC.m. + +
      • Added fclose to @loopy_pearl_inf/enter_evidence. + +
      • Changes to MPE routines in BNT/general. +The maximize parameter is now specified inside enter_evidence +instead of when the engine is created. +Renamed calc_mpe_given_inf_engine to just calc_mpe. +Added Ron Zohar's optional fix to handle the case of ties. +Now returns log-likelihood instead of likelihood. +Added calc_mpe_global. +Removed references to genops in calc_mpe_bucket.m +Test file is now called mpe1.m + +
      • For DBN inference, filter argument is now passed by name, +as is maximize. This is NOT BACKWARDS COMPATIBLE. + +
      • Removed @loopy_dbn_inf_engine, which will was too complicated. +In the future, a new version, which applies static loopy to the +unrolled DBN, will be provided. + +
      • discrete_CPD class now contains the family sizes and supports the +method dom_sizes. This is because it could not access the child field +CPD.sizes, and mysize(CPT) may give the wrong answer. + +
      • Removed all functions of the form CPD_to_xxx, where xxx = dpot, cpot, +cgpot, table, tables. These have been replaced by convert_to_pot, +which takes a pot_type argument. +@discrete_CPD calls convert_to_table to implement a default +convert_to_pot. +@discrete_CPD calls CPD_to_CPT to implement a default +convert_to_table. +The convert_to_xxx routines take fewer arguments (no need to pass in +the globals node_sizes and cnodes!). +Eventually, convert_to_xxx will be vectorized, so it will operate on +all nodes in the same equivalence class "simultaneously", which should +be significantly quicker, at least for Gaussians. + +
      • Changed discrete_CPD/sample_node and prob_node to use +convert_to_table, instead of CPD_to_CPT, so mlp/softmax nodes can +benefit. + +
      • Removed @tabular_CPD/compute_lambda_msg_fast and +private/prod_CPD_and_pi_msgs_fast, since no one called them. + +
      • Renamed compute_MLE to learn_params, +by analogy with bayes_update_params (also because it may compute an +MAP estimate). + +
      • Renamed set_params to set_fields +and get_params to get_field for CPD and dpot objects, to +avoid confusion with the parameters of the CPD. + +
      • Removed inference/doc, which has been superceded +by the web page. + +
      • Removed inference/static/@stab_cond_gauss_inf_engine, which is +broken, and all references to stable CG. + +
      + + + + + +
    • 8/12/01 +
        +
      • I removed potentials/@dpot/marginalize_pot_max. +Now marginalize_pot for all potential classes take an optional third +argument, specifying whether to sum out or max out. +The dpot class also takes in optional arguments specifying whether to +use C or genops (the global variable USE_GENOPS has been eliminated). + +
      • potentials/@dpot/marginalize_pot has been simplified by assuming +that 'onto' is always in ascending order (i.e., we remove +Maynard-Reid's patch). This is to keep the code identical to the C +version and the other class implementations. + +
      • Added Ron Zohar's general/calc_mpe_bucket function, +and my general/calc_mpe_given_inf_engine, for calculating the most +probable explanation. + + +
      • Added Wei Hu's jtree_C_inf_engine. +enter_softev.c is about 2 times faster than enter_soft_evidence.m. + +
      • Added the latest version of jtree_compiled_inf_engine by Wei Hu. +The 'C' ndx_method now calls potentials/Tables/mk_marg/mult_index, +and the 'oldC' ndx_method calls potentials/Tables/mk_marg/mult_ndx. + +
      • Added potentials/@dpot/marginalize_pot_C.c and +multiply_by_pot_C.c by Wei Hu. +These can be called by setting the 'useC' argument in +jtree_inf_engine. + +
      • Added BNT/installC.m to compile all the mex files. + +
      • Renamed prob_fully_instantiated_bnet to log_lik_complete. + +
      • Added Shan Huang's unfinished stable conditional Gaussian +inference routines. +
      + + + +
    • 7/13/01 +
        +
      • Added the latest version of jtree_compiled_inf_engine by Wei Hu. +
      • Added the genops class by Doug Schwarz (see +BNT/genopsfun/README). This provides a 1-2x speed-up of +potentials/@dpot/multiply_by_pot and divide_by_pot. +
      • The function BNT/examples/static/qmr_compiled compares the +performance gains of these new functions. +
      + +
    • 7/6/01 +
        +
      • Made bk_inf_engine use the name/value argument syntax. This can +now do max-product (Viterbi) as well as sum-product +(forward-backward). +
      • Changed examples/static/mfa1 to use the new name/value argument +syntax. +
      + + +
    • 6/28/01 + +
        + +
      • Released version 3. +Version 3 is considered a major new release +since it is not completely backwards compatible with V2. +V3 supports decision and utility nodes, loopy belief propagation on +general graphs (including undirected), structure learning for non-tabular nodes, +a simplified way of handling optional +arguments to functions, +and many other features which are described below. +In addition, the documentation has been substantially rewritten. + +
      • The following functions can now take optional arguments specified +as name/value pairs, instead of passing arguments in a fixed order: +mk_bnet, jtree_inf_engine, tabular_CPD, gaussian_CPD, softmax_CPD, mlp_CPD, +enter_evidence. +This is very helpful if you want to use default values for most parameters. +The functions remain backwards compatible with BNT2. + +
      • dsoftmax_CPD has been renamed softmax_CPD, replacing the older +version of softmax. The directory netlab2 has been updated, and +contains weighted versions of some of the learning routines in netlab. +(This code is still being developed by P. Brutti.) + +
      • The "fast" versions of the inference engines, which generated +matlab code, have been removed. +@jtree_compiled_inf_engine now generates C code. +(This feature is currently being developed by Wei Hu of Intel (China), +and is not yet ready for public use.) + +
      • CPD_to_dpot, CPD_to_cpot, CPD_to_cgpot and CPD_to_upot +are in the process of being replaced by convert_to_pot. + +
      • determine_pot_type now takes as arguments (bnet, onodes) +instead of (onodes, cnodes, dag), +so it can detect the presence of utility nodes as well as continuous +nodes. +Hence this function is not backwards compatible with BNT2. + +
      • The structure learning code (K2, mcmc) now works with any node +type, not just tabular. +mk_bnets_tabular has been eliminated. +bic_score_family and dirichlet_score_family will be replaced by score_family. +Note: learn_struct_mcmc has a new interface that is not backwards +compatible with BNT2. + +
      • update_params_complete has been renamed bayes_update_params. +Also, learn_params_tabular has been replaced by learn_params, which +works for any CPD type. + +
      • Added decision/utility nodes. +
      + + +
    • 6/6/01 +
        +
      • Added soft evidence to jtree_inf_engine. +
      • Changed the documentation slightly (added soft evidence and +parameter tying, and separated parameter and structure learning). +
      • Changed the parameters of determine_pot_type, so it no longer +needs to be passed a DAG argument. +
      • Fixed parameter tying in mk_bnet (num. CPDs now equals num. equiv +classes). +
      • Made learn_struct_mcmc work in matlab version 5.2 (thanks to +Nimrod Megiddo for finding this bug). +
      • Made 'acyclic.m' work for undirected graphs. +
      + + +
    • 5/23/01 +
        +
      • Added Tamar Kushnir's code for the IC* algorithm +(learn_struct_pdag_ic_star). This learns the +structure of a PDAG, and can identify the presence of latent +variables. + +
      • Added Yair Weiss's code for computing the MAP assignment using +junction tree (i.e., a new method called @dpot/marginalize_pot_max +instead of marginalize_pot.) + +
      • Added @discrete_CPD/prob_node in addition to log_prob_node to handle +deterministic CPDs. +
      + + +
    • 5/12/01 +
        +
      • Pierpaolo Brutti updated his mlp and dsoftmax CPD classes, +and improved the HME code. + +
      • HME example now added to web page. (The previous example was non-hierarchical.) + +
      • Philippe Leray (author of the French documentation for BNT) +pointed out that I was including netlab.tar unnecessarily. +
      + + +
    • 5/4/01 +
        +
      • Added mlp_CPD which defines a CPD as a (conditional) multi-layer perceptron. +This class was written by Pierpaolo Brutti. + +
      • Added hierarchical mixtures of experts demo (due to Pierpaolo Brutti). + +
      • Fixed some bugs in dsoftmax_CPD. + +
      • Now the BNT distribution includes the whole +Netlab library in a +subdirectory. +It also includes my HMM and Kalman filter toolboxes, instead of just +fragments of them. +
      + + +
    • 5/2/01 +
        +
      • gaussian_inf_engine/enter_evidence now correctly returns the +loglik, even if all nodes are instantiated (bug fix due to +Michael Robert James). + +
      • Added dsoftmax_CPD which allows softmax nodes to have discrete +and continuous parents; the discrete parents act as indices into the +parameters for the continuous node, by analogy with conditional +Gaussian nodes. This class was written by Pierpaolo Brutti. +
      + + +
    • 3/27/01 +
        +
      • learn_struct_mcmc no longer returns sampled_bitv. +
      • Added mcmc_sample_to_hist to post-process the set of samples. +
      + +
    • 3/21/01 +
        +
      • Changed license from UC to GNU Library GPL. + +
      • Made all CPD constructors accept 0 arguments, so now bnets can be +saved to and loaded from files. + +
      • Improved the implementation of sequential and batch Bayesian +parameter learning for tabular CPDs with completely observed data (see +log_marg_lik_complete and update_params_complete). This code also +handles interventional data. + +
      • Added MCMC structure learning for completely observed, discrete, +static BNs. + +
      • Started implementing Bayesian estimation of linear Gaussian +nodes. See root_gaussian_CPD and +linear_gaussian_CPD. The old gaussian_CPD class has not been changed. + +
      • Renamed evaluate_CPD to log_prob_node, and simplified its +arguments. + +
      • Renamed sample_CPD to sample_node, simplified its +arguments, and vectorized it. + +
      • Renamed "learn_params_tabular" to "update_params_complete". +This does Bayesian updating, but no longer computes the BIC score. + +
      • Made routines for completely observed networks (sampling, +complete data likelihood, etc.) handle cell arrays or regular arrays, +which are faster. +If some nodes are not scalars, or are hidden, you must use cell arrays. +You must convert to a cell array before passing to an inference routine. + +
      • Fixed bug in gaussian_CPD constructor. When creating CPD with +more than 1 discrete parent with random parameters, the matrices were +the wrong shape (Bug fix due to Xuejing Sun). +
      + + + +
    • 11/24/00 +
        +
      • Renamed learn_params and learn_params_dbn to learn_params_em/ +learn_params_dbn_em. The return arguments are now [bnet, LLtrace, +engine] instead of [engine, LLtrace]. +
      • Added structure learning code for static nets (K2, PC). +
      • Renamed learn_struct_inter_full_obs as learn_struct_dbn_reveal, +and reimplemented it to make it simpler and faster. +
      • Added sequential Bayesian parameter learning (learn_params_tabular). +
      • Major rewrite of the documentation. +
      + + + +
    • 5/22/00 +
        +
      • Added online filtering and prediction. +
      • Added the factored frontier and loopy_dbn algorithms. +
      • Separated the online user manual into two, for static and dynamic +networks. + +
      • Added a counter to the BNT web page. + +
      + + +
    • 4/27/00 +
        +
      • Fixed the typo in bat1.m +
      • Added preliminary code for online inference in DBNs +
      • Added coupled HMM example +
      + +
    • 4/23/00 +
        +
      • Fixed the bug in the fast inference routines where the indices +are empty (arises in bat1.m). +
      • Sped up marginal_family for the fast engines by precomputing indices. +
      + +
    • 4/17/00 +
        +
      • Simplified implementation of BK_inf_engine by using soft evidence. +
      • Added jtree_onepass_inf_engine (which computes a single marginal) +and modified jtree_dbn_fast to use it. +
      + +
    • 4/14/00 +
        +
      • Added fast versions of jtree and BK, which are +designed for models where the division into hidden/observed is fixed, +and all hidden variables are discrete. These routines are 2-3 times +faster than their non-fast counterparts. + +
      • Added graph drawing code +contributed by Ali Taylan Cemgil from the University of Nijmegen. +
      + +
    • 4/10/00 +
        +
      • Distinguished cnodes and cnodes_slice in DBNs so that kalman1 +works with BK. +
      • Removed dependence on cellfun (which only exists in matlab 5.3) +by adding isemptycell. Now the code works in 5.2. +
      • Changed the UC copyright notice. +
      + + + +
    • 3/29/00 +
        +
      • Released BNT 2.0, now with objects! +Here are the major changes. + +
      • There are now 3 classes of objects in BNT: +Conditional Probability Distributions, potentials (for junction tree), +and inference engines. +Making an inference algorithm (junction tree, sampling, loopy belief +propagation, etc.) an object might seem counter-intuitive, but in +fact turns out to be a good idea, since the code and documentation +can be made modular. +(In Java, each algorithm would be a class that implements the +inferenceEngine interface. Since Matlab doesn't support interfaces, +inferenceEngine is an abstract (virtual) base class.) + +

        +

      • +In version 1, instead of Matlab's built-in objects, +I used structs and a + simulated dispatch mechanism based on the type-tag system in the + classic textbook by Abelson + and Sussman ("Structure and Interpretation of Computer Programs", + MIT Press, 1985). This required editing the dispatcher every time a + new object type was added. It also required unique (and hence long) + names for each method, and allowed the user unrestricted access to + the internal state of objects. + +

        +

      • The Bayes net itself is now a lightweight struct, and can be +used to specify a model independently of the inference algorithm used +to process it. +In version 1, the inference engine was stored inside the Bayes net. + + +
      + + + +
    • 11/24/99 +
        +
      • Added fixed lag smoothing, online EM and the ability to learn +switching HMMs (POMDPs) to the HMM toolbox. +
      • Renamed the HMM toolbox function 'mk_dhmm_obs_mat' to +'mk_dhmm_obs_lik', and similarly for ghmm and mhmm. Updated references +to these functions in BNT. +
      • Changed the order of return params from kalman_filter to make it +more natural. Updated references to this function in BNT. +
      + + + +
    • 10/27/99 +
        +
      • Fixed line 42 of potential/cg/marginalize_cgpot and lines 32-39 of bnet/add_evidence_to_marginal +(thanks to Rainer Deventer for spotting these bugs!) +
      + + +
    • 10/21/99 +
        +
      • Completely changed the blockmatrix class to make its semantics +more sensible. The constructor is not backwards compatible! +
      + +
    • 10/6/99 +
        +
      • Fixed all_vals = cat(1, vals{:}) in user/enter_evidence +
      • Vectorized ind2subv and sub2indv and removed the C versions. +
      • Made mk_CPT_from_mux_node much faster by having it call vectorized +ind2subv +
      • Added Sondhauss's bug fix to line 68 of bnet/add_evidence_to_marginal +
      • In dbn/update_belief_state, instead of adding eps to likelihood if 0, +we leave it at 0, and set the scale factor to 0 instead of dividing. +
      + +
    • 8/19/99 +
        +
      • Added Ghahramani's mfa code to examples directory to compare with +fa1, which uses BNT +
      • Changed all references of assoc to stringmatch (e.g., in +examples/mk_bat_topology) +
      + +
    • June 1999 +
        +
      • Released BNT 1.0 on the web. +
      + + +
    • August 1998 +
        +
      • Released BNT 0.0 via email. +
      + + +
    • October 1997 +
        +
      • First started working on Matlab version of BNT. +
      + +
    • Summer 1997 +
        +
      • First started working on C++ version of BNT while working at DEC (now Compaq) CRL. +
      + + + +
    diff --git a/sourcecodes/bnt-master/docs/dbn_hmm_demo.m b/sourcecodes/bnt-master/docs/dbn_hmm_demo.m new file mode 100644 index 00000000..30933b8f --- /dev/null +++ b/sourcecodes/bnt-master/docs/dbn_hmm_demo.m @@ -0,0 +1,37 @@ + Example due to Wang Hee Lin"
+ + + +

Creating your first Bayes net

+ +To define a Bayes net, you must specify the graph structure and then +the parameters. We look at each in turn, using a simple example +(adapted from Russell and +Norvig, "Artificial Intelligence: a Modern Approach", Prentice Hall, +1995, p454). + + +

Graph structure

+ + +Consider the following network. + +

+

+ +
+

+ +

+To specify this directed acyclic graph (dag), we create an adjacency matrix: +

+N = 4; 
+dag = zeros(N,N);
+C = 1; S = 2; R = 3; W = 4;
+dag(C,[R S]) = 1;
+dag(R,W) = 1;
+dag(S,W)=1;
+
+

+We have numbered the nodes as follows: +Cloudy = 1, Sprinkler = 2, Rain = 3, WetGrass = 4. +The nodes must always be numbered in topological order, i.e., +ancestors before descendants. +For a more complicated graph, this is a little inconvenient: we will +see how to get around this below. +

+In Matlab 6, you can use logical arrays instead of double arrays, +which are 4 times smaller: +

+dag = false(N,N);
+dag(C,[R S]) = true;
+...
+
+However, some graph functions (eg acyclic) do not work on +logical arrays! +

+You can visualize the resulting graph structure using +the methods discussed below. +For details on GUIs, +click here. + +

Creating the Bayes net shell

+ +In addition to specifying the graph structure, +we must specify the size and type of each node. +If a node is discrete, its size is the +number of possible values +each node can take on; if a node is continuous, +it can be a vector, and its size is the length of this vector. +In this case, we will assume all nodes are discrete and binary. +
+discrete_nodes = 1:N;
+node_sizes = 2*ones(1,N); 
+
+If the nodes were not binary, you could type e.g., +
+node_sizes = [4 2 3 5];
+
+meaning that Cloudy has 4 possible values, +Sprinkler has 2 possible values, etc. +Note that these are cardinal values, not ordinal, i.e., +they are not ordered in any way, like 'low', 'medium', 'high'. +

+We are now ready to make the Bayes net: +

+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes);
+
+By default, all nodes are assumed to be discrete, so we can also just +write +
+bnet = mk_bnet(dag, node_sizes);
+
+You may also specify which nodes will be observed. +If you don't know, or if this not fixed in advance, +just use the empty list (the default). +
+onodes = [];
+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes, 'observed', onodes);
+
+Note that optional arguments are specified using a name/value syntax. +This is common for many BNT functions. +In general, to find out more about a function (e.g., which optional +arguments it takes), please see its +documentation string by typing +
+help mk_bnet
+
+See also other useful Matlab tips. +

+It is possible to associate names with nodes, as follows: +

+bnet = mk_bnet(dag, node_sizes, 'names', {'cloudy','S','R','W'}, 'discrete', 1:4);
+
+You can then refer to a node by its name: +
+C = bnet.names('cloudy'); % bnet.names is an associative array
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+
+This feature uses my own associative array class. + + +

Parameters

+ +A model consists of the graph structure and the parameters. +The parameters are represented by CPD objects (CPD = Conditional +Probability Distribution), which define the probability distribution +of a node given its parents. +(We will use the terms "node" and "random variable" interchangeably.) +The simplest kind of CPD is a table (multi-dimensional array), which +is suitable when all the nodes are discrete-valued. Note that the discrete +values are not assumed to be ordered in any way; that is, they +represent categorical quantities, like male and female, rather than +ordinal quantities, like low, medium and high. +(We will discuss CPDs in more detail below.) +

+Tabular CPDs, also called CPTs (conditional probability tables), +are stored as multidimensional arrays, where the dimensions +are arranged in the same order as the nodes, e.g., the CPT for node 4 +(WetGrass) is indexed by Sprinkler (2), Rain (3) and then WetGrass (4) itself. +Hence the child is always the last dimension. +If a node has no parents, its CPT is a column vector representing its +prior. +Note that in Matlab (unlike C), arrays are indexed +from 1, and are layed out in memory such that the first index toggles +fastest, e.g., the CPT for node 4 (WetGrass) is as follows +

+

+

+where we have used the convention that false==1, true==2. +We can create this CPT in Matlab as follows +

+CPT = zeros(2,2,2);
+CPT(1,1,1) = 1.0;
+CPT(2,1,1) = 0.1;
+...
+
+Here is an easier way: +
+CPT = reshape([1 0.1 0.1 0.01 0 0.9 0.9 0.99], [2 2 2]);
+
+In fact, we don't need to reshape the array, since the CPD constructor +will do that for us. So we can just write +
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+The other nodes are created similarly (using the old syntax for +optional parameters) +
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+bnet.CPD{R} = tabular_CPD(bnet, R, [0.8 0.2 0.2 0.8]);
+bnet.CPD{S} = tabular_CPD(bnet, S, [0.5 0.9 0.5 0.1]);
+bnet.CPD{W} = tabular_CPD(bnet, W, [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+ + +

Random Parameters

+ +If we do not specify the CPT, random parameters will be +created, i.e., each "row" of the CPT will be drawn from the uniform distribution. +To ensure repeatable results, use +
+rand('state', seed);
+randn('state', seed);
+
+To control the degree of randomness (entropy), +you can sample each row of the CPT from a Dirichlet(p,p,...) distribution. +If p << 1, this encourages "deterministic" CPTs (one entry near 1, the rest near 0). +If p = 1, each entry is drawn from U[0,1]. +If p >> 1, the entries will all be near 1/k, where k is the arity of +this node, i.e., each row will be nearly uniform. +You can do this as follows, assuming this node +is number i, and ns is the node_sizes. +
+k = ns(i);
+ps = parents(dag, i);
+psz = prod(ns(ps));
+CPT = sample_dirichlet(p*ones(1,k), psz);
+bnet.CPD{i} = tabular_CPD(bnet, i, 'CPT', CPT);
+
+ + +

Loading a network from a file

+ +If you already have a Bayes net represented in the XML-based + +Bayes Net Interchange Format (BNIF) (e.g., downloaded from the + +Bayes Net repository), +you can convert it to BNT format using +the +BIF-BNT Java +program written by Ken Shan. +(This is not necessarily up-to-date.) +

+It is currently not possible to save/load a BNT matlab object to +file, but this is easily fixed if you modify all the constructors +for all the classes (see matlab documentation). + +

Creating a model using a GUI

+ + + +

Graph visualization

+ +Click here for more information +on graph visualization. + + +

Inference

+ +Having created the BN, we can now use it for inference. +There are many different algorithms for doing inference in Bayes nets, +that make different tradeoffs between speed, +complexity, generality, and accuracy. +BNT therefore offers a variety of different inference +"engines". We will discuss these +in more detail below. +For now, we will use the junction tree +engine, which is the mother of all exact inference algorithms. +This can be created as follows. +
+engine = jtree_inf_engine(bnet);
+
+The other engines have similar constructors, but might take +additional, algorithm-specific parameters. +All engines are used in the same way, once they have been created. +We illustrate this in the following sections. + + +

Computing marginal distributions

+ +Suppose we want to compute the probability that the sprinker was on +given that the grass is wet. +The evidence consists of the fact that W=2. All the other nodes +are hidden (unobserved). We can specify this as follows. +
+evidence = cell(1,N);
+evidence{W} = 2;
+
+We use a 1D cell array instead of a vector to +cope with the fact that nodes can be vectors of different lengths. +In addition, the value [] can be used +to denote 'no evidence', instead of having to specify the observation +pattern as a separate argument. +(Click
here for a quick tutorial on cell +arrays in matlab.) +

+We are now ready to add the evidence to the engine. +

+[engine, loglik] = enter_evidence(engine, evidence);
+
+The behavior of this function is algorithm-specific, and is discussed +in more detail below. +In the case of the jtree engine, +enter_evidence implements a two-pass message-passing scheme. +The first return argument contains the modified engine, which +incorporates the evidence. The second return argument contains the +log-likelihood of the evidence. (Not all engines are capable of +computing the log-likelihood.) +

+Finally, we can compute p=P(S=2|W=2) as follows. +

+marg = marginal_nodes(engine, S);
+marg.T
+ans =
+      0.57024
+      0.42976
+p = marg.T(2);
+
+We see that p = 0.4298. +

+Now let us add the evidence that it was raining, and see what +difference it makes. +

+evidence{R} = 2;
+[engine, loglik] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, S);
+p = marg.T(2);
+
+We find that p = P(S=2|W=2,R=2) = 0.1945, +which is lower than +before, because the rain can ``explain away'' the +fact that the grass is wet. +

+You can plot a marginal distribution over a discrete variable +as a barchart using the built 'bar' function: +

+bar(marg.T)
+
+This is what it looks like + +

+

+ +
+

+ +

Observed nodes

+ +What happens if we ask for the marginal on an observed node, e.g. P(W|W=2)? +An observed discrete node effectively only has 1 value (the observed + one) --- all other values would result in 0 probability. +For efficiency, BNT treats observed (discrete) nodes as if they were + set to 1, as we see below: +
+evidence = cell(1,N);
+evidence{W} = 2;
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, W);
+m.T
+ans =
+     1
+
+This can get a little confusing, since we assigned W=2. +So we can ask BNT to add the evidence back in by passing in an optional argument: +
+m = marginal_nodes(engine, W, 1);
+m.T
+ans =
+     0
+     1
+
+This shows that P(W=1|W=2) = 0 and P(W=2|W=2) = 1. + + + +

Computing joint distributions

+ +We can compute the joint probability on a set of nodes as in the +following example. +
+evidence = cell(1,N);
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W]);
+
+m is a structure. The 'T' field is a multi-dimensional array (in +this case, 3-dimensional) that contains the joint probability +distribution on the specified nodes. +
+>> m.T
+ans(:,:,1) =
+    0.2900    0.0410
+    0.0210    0.0009
+ans(:,:,2) =
+         0    0.3690
+    0.1890    0.0891
+
+We see that P(S=1,R=1,W=2) = 0, since it is impossible for the grass +to be wet if both the rain and sprinkler are off. +

+Let us now add some evidence to R. +

+evidence{R} = 2;
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W])
+m = 
+    domain: [2 3 4]
+         T: [2x1x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+    0.0820
+    0.0018
+ans(:,:,2) =
+    0.7380
+    0.1782
+
+The joint T(i,j,k) = P(S=i,R=j,W=k|evidence) +should have T(i,1,k) = 0 for all i,k, since R=1 is incompatible +with the evidence that R=2. +Instead of creating large tables with many 0s, BNT sets the effective +size of observed (discrete) nodes to 1, as explained above. +This is why m.T has size 2x1x2. +To get a 2x2x2 table, type +
+m = marginal_nodes(engine, [S R W], 1)
+m = 
+    domain: [2 3 4]
+         T: [2x2x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+            0        0.082
+            0       0.0018
+ans(:,:,2) =
+            0        0.738
+            0       0.1782
+
+ +

+Note: It is not always possible to compute the joint on arbitrary +sets of nodes: it depends on which inference engine you use, as discussed +in more detail below. + + +

Soft/virtual evidence

+ +Sometimes a node is not observed, but we have some distribution over +its possible values; this is often called "soft" or "virtual" +evidence. +One can use this as follows +
+[engine, loglik] = enter_evidence(engine, evidence, 'soft', soft_evidence);
+
+where soft_evidence{i} is either [] (if node i has no soft evidence) +or is a vector representing the probability distribution over i's +possible values. +For example, if we don't know i's exact value, but we know its +likelihood ratio is 60/40, we can write evidence{i} = [] and +soft_evidence{i} = [0.6 0.4]. +

+Currently only jtree_inf_engine supports this option. +It assumes that all hidden nodes, and all nodes for +which we have soft evidence, are discrete. +For a longer example, see BNT/examples/static/softev1.m. + + +

Most probable explanation

+ +To compute the most probable explanation (MPE) of the evidence (i.e., +the most probable assignment, or a mode of the joint), use +
+[mpe, ll] = calc_mpe(engine, evidence);     
+
+mpe{i} is the most likely value of node i. +This calls enter_evidence with the 'maximize' flag set to 1, which +causes the engine to do max-product instead of sum-product. +The resulting max-marginals are then thresholded. +If there is more than one maximum probability assignment, we must take + care to break ties in a consistent manner (thresholding the + max-marginals may give the wrong result). To force this behavior, + type +
+[mpe, ll] = calc_mpe(engine, evidence, 1);     
+
+Note that computing the MPE is someties called abductive reasoning. + +

+You can also use calc_mpe_bucket written by Ron Zohar, +that does a forwards max-product pass, and then a backwards traceback +pass, which is how Viterbi is traditionally implemented. + + + +

Conditional Probability Distributions

+ +A Conditional Probability Distributions (CPD) +defines P(X(i) | X(Pa(i))), where X(i) is the i'th node, and X(Pa(i)) +are the parents of node i. There are many ways to represent this +distribution, which depend in part on whether X(i) and X(Pa(i)) are +discrete, continuous, or a combination. +We will discuss various representations below. + + +

Tabular nodes

+ +If the CPD is represented as a table (i.e., if it is a multinomial +distribution), it has a number of parameters that is exponential in +the number of parents. See the example above. + + +

Noisy-or nodes

+ +A noisy-OR node is like a regular logical OR gate except that +sometimes the effects of parents that are on get inhibited. +Let the prob. that parent i gets inhibited be q(i). +Then a node, C, with 2 parents, A and B, has the following CPD, where +we use F and T to represent off and on (1 and 2 in BNT). +
+A  B  P(C=off)      P(C=on)
+---------------------------
+F  F  1.0           0.0
+T  F  q(A)          1-q(A)
+F  T  q(B)          1-q(B)
+T  T  q(A)q(B)      1-q(A)q(B)
+
+Thus we see that the causes get inhibited independently. +It is common to associate a "leak" node with a noisy-or CPD, which is +like a parent that is always on. This can account for all other unmodelled +causes which might turn the node on. +

+The noisy-or distribution is similar to the logistic distribution. +To see this, let the nodes, S(i), have values in {0,1}, and let q(i,j) +be the prob. that j inhibits i. Then +

+Pr(S(i)=1 | parents(S(i))) = 1 - prod_{j} q(i,j)^S(j)
+
+Now define w(i,j) = -ln q(i,j) and rho(x) = 1-exp(-x). Then +
+Pr(S(i)=1 | parents(S(i))) = rho(sum_j w(i,j) S(j))
+
+For a sigmoid node, we have +
+Pr(S(i)=1 | parents(S(i))) = sigma(-sum_j w(i,j) S(j))
+
+where sigma(x) = 1/(1+exp(-x)). Hence they differ in the choice of +the activation function (although both are monotonically increasing). +In addition, in the case of a noisy-or, the weights are constrained to be +positive, since they derive from probabilities q(i,j). +In both cases, the number of parameters is linear in the +number of parents, unlike the case of a multinomial distribution, +where the number of parameters is exponential in the number of parents. +We will see an example of noisy-OR nodes
below. + + +

Other (noisy) deterministic nodes

+ +Deterministic CPDs for discrete random variables can be created using +the deterministic_CPD class. It is also possible to 'flip' the output +of the function with some probability, to simulate noise. +The boolean_CPD class is just a special case of a +deterministic CPD, where the parents and child are all binary. +

+Both of these classes are just "syntactic sugar" for the tabular_CPD +class. + + + +

Softmax nodes

+ +If we have a discrete node with a continuous parent, +we can define its CPD using a softmax function +(also known as the multinomial logit function). +This acts like a soft thresholding operator, and is defined as follows: +
+                    exp(w(:,i)'*x + b(i)) 
+Pr(Q=i | X=x)  =  -----------------------------
+                  sum_j   exp(w(:,j)'*x + b(j))
+
+
+The parameters of a softmax node, w(:,i) and b(i), i=1..|Q|, have the +following interpretation: w(:,i)-w(:,j) is the normal vector to the +decision boundary between classes i and j, +and b(i)-b(j) is its offset (bias). For example, suppose +X is a 2-vector, and Q is binary. Then +
+w = [1 -1;
+     0 0];
+
+b = [0 0];
+
+means class 1 are points in the 2D plane with positive x coordinate, +and class 2 are points in the 2D plane with negative x coordinate. +If w has large magnitude, the decision boundary is sharp, otherwise it +is soft. +In the special case that Q is binary (0/1), the softmax function reduces to the logistic +(sigmoid) function. +

+Fitting a softmax function can be done using the iteratively reweighted +least squares (IRLS) algorithm. +We use the implementation from +Netlab. +Note that since +the softmax distribution is not in the exponential family, it does not +have finite sufficient statistics, and hence we must store all the +training data in uncompressed form. +If this takes too much space, one should use online (stochastic) gradient +descent (not implemented in BNT). +

+If a softmax node also has discrete parents, +we use a different set of w/b parameters for each combination of +parent values, as in the conditional linear +Gaussian CPD. +This feature was implemented by Pierpaolo Brutti. +He is currently extending it so that discrete parents can be treated +as if they were continuous, by adding indicator variables to the X +vector. +

+We will see an example of softmax nodes below. + + +

Neural network nodes

+ +Pierpaolo Brutti has implemented the mlp_CPD class, which uses a multi layer perceptron +to implement a mapping from continuous parents to discrete children, +similar to the softmax function. +(If there are also discrete parents, it creates a mixture of MLPs.) +It uses code from Netlab. +This is work in progress. + +

Root nodes

+ +A root node has no parents and no parameters; it can be used to model +an observed, exogeneous input variable, i.e., one which is "outside" +the model. +This is useful for conditional density models. +We will see an example of root nodes below. + + +

Gaussian nodes

+ +We now consider a distribution suitable for the continuous-valued nodes. +Suppose the node is called Y, its continuous parents (if any) are +called X, and its discrete parents (if any) are called Q. +The distribution on Y is defined as follows: +
+- no parents: Y ~ N(mu, Sigma)
+- cts parents : Y|X=x ~ N(mu + W x, Sigma)
+- discrete parents: Y|Q=i ~ N(mu(:,i), Sigma(:,:,i))
+- cts and discrete parents: Y|X=x,Q=i ~ N(mu(:,i) + W(:,:,i) * x, Sigma(:,:,i))
+
+where N(mu, Sigma) denotes a Normal distribution with mean mu and +covariance Sigma. Let |X|, |Y| and |Q| denote the sizes of X, Y and Q +respectively. +If there are no discrete parents, |Q|=1; if there is +more than one, then |Q| = a vector of the sizes of each discrete parent. +If there are no continuous parents, |X|=0; if there is more than one, +then |X| = the sum of their sizes. +Then mu is a |Y|*|Q| vector, Sigma is a |Y|*|Y|*|Q| positive +semi-definite matrix, and W is a |Y|*|X|*|Q| regression (weight) +matrix. +

+We can create a Gaussian node with random parameters as follows. +

+bnet.CPD{i} = gaussian_CPD(bnet, i);
+
+We can specify the value of one or more of the parameters as in the +following example, in which |Y|=2, and |Q|=1. +
+bnet.CPD{i} = gaussian_CPD(bnet, i, 'mean', [0; 0], 'weights', randn(Y,X), 'cov', eye(Y));
+
+

+We will see an example of conditional linear Gaussian nodes below. +

+When learning Gaussians from data, it is helpful to ensure the +data has a small magnitde +(see e.g., KPMstats/standardize) to prevent numerical problems. +Unless you have a lot of data, it is also a very good idea to use +diagonal instead of full covariance matrices. +(BNT does not currently support spherical covariances, although it +would be easy to add, since KPMstats/clg_Mstep supports this option; +you would just need to modify gaussian_CPD/update_ess to accumulate +weighted inner products.) + + + +

Other continuous distributions

+ +Currently BNT does not support any CPDs for continuous nodes other +than the Gaussian. +However, you can use a mixture of Gaussians to +approximate other continuous distributions. We will see some an example +of this with the IFA model below. + + +

Generalized linear model nodes

+ +In the future, we may incorporate some of the functionality of +glmlab +into BNT. + + +

Classification/regression tree nodes

+ +We plan to add classification and regression trees to define CPDs for +discrete and continuous nodes, respectively. +Trees have many advantages: they are easy to interpret, they can do +feature selection, they can +handle discrete and continuous inputs, they do not make strong +assumptions about the form of the distribution, the number of +parameters can grow in a data-dependent way (i.e., they are +semi-parametric), they can handle missing data, etc. +However, they are not yet implemented. + + + +

Summary of CPD types

+ +We list all the different types of CPDs supported by BNT. +For each CPD, we specify if the child and parents can be discrete (D) or +continuous (C) (Binary (B) nodes are a special case). +We also specify which methods each class supports. +If a method is inherited, the name of the parent class is mentioned. +If a parent class calls a child method, this is mentioned. +

+The CPD_to_CPT method converts a CPD to a table; this +requires that the child and all parents are discrete. +The CPT might be exponentially big... +convert_to_table evaluates a CPD with evidence, and +represents the the resulting potential as an array. +This requires that the child is discrete, and any continuous parents +are observed. +convert_to_pot evaluates a CPD with evidence, and +represents the resulting potential as a dpot, gpot, cgpot or upot, as +requested. (d=discrete, g=Gaussian, cg = conditional Gaussian, u = +utility). + +

+When we sample a node, all the parents are observed. +When we compute the (log) probability of a node, all the parents and +the child are observed. +

+We also specify if the parameters are learnable. +For learning with EM, we require +the methods reset_ess, update_ess and +maximize_params. +For learning from fully observed data, we require +the method learn_params. +By default, all classes inherit this from generic_CPD, which simply +calls update_ess N times, once for each data case, followed +by maximize_params, i.e., it is like EM, without the E step. +Some classes implement a batch formula, which is quicker. +

+Bayesian learning means computing a posterior over the parameters +given fully observed data. +

+Pearl means we implement the methods compute_pi and +compute_lambda_msg, used by +pearl_inf_engine, which runs on directed graphs. +belprop_inf_engine only needs convert_to_pot.H +The pearl methods can exploit special properties of the CPDs for +computing the messages efficiently, whereas belprop does not. +

+The only method implemented by generic_CPD is adjustable_CPD, +which is not shown, since it is not very interesting. + + +

+ + + +
+ + + + + + + + + + + + +
Name +Child +Parents +Comments +CPD_to_CPT +conv_to_table +conv_to_pot +sample +prob +learn +Bayes +Pearl + + +
+ + + + + + + + + + + + +
boolean +B +B +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
deterministic +D +D +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
Discrete +D +C/D +Virtual class +N +Calls CPD_to_CPT +Calls conv_to_table +Calls conv_to_table +Calls conv_to_table +N +N +N + +
Gaussian +C +C/D +- +N +N +Y +Y +Y +Y +N +N + +
gmux +C +C/D +multiplexer +N +N +Y +N +N +N +N +Y + + +
MLP +D +C/D +multi layer perceptron +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
noisy-or +B +B +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +N +N +Y + + +
root +C/D +none +no params +N +N +Y +Y +Y +N +N +N + + +
softmax +D +C/D +- +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
generic +C/D +C/D +Virtual class +N +N +N +N +N +N +N +N + + +
Tabular +D +D +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +Y +Y + +
+ + + +

Example models

+ + +

Gaussian mixture models

+ +Richard W. DeVaul has made a detailed tutorial on how to fit mixtures +of Gaussians using BNT. Available +
here. + + +

PCA, ICA, and all that

+ +In Figure (a) below, we show how Factor Analysis can be thought of as a +graphical model. Here, X has an N(0,I) prior, and +Y|X=x ~ N(mu + Wx, Psi), +where Psi is diagonal and W is called the "factor loading matrix". +Since the noise on both X and Y is diagonal, the components of these +vectors are uncorrelated, and hence can be represented as individual +scalar nodes, as we show in (b). +(This is useful if parts of the observations on the Y vector are occasionally missing.) +We usually take k=|X| << |Y|=D, so the model tries to explain +many observations using a low-dimensional subspace. + + +
+ + + +
+ + + +
(a) + (b) + (c) + (d) +
+
+ +

+We can create this model in BNT as follows. +

+ns = [k D];
+dag = zeros(2,2);
+dag(1,2) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', []);
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', zeros(k,1), 'cov', eye(k), ...
+   'cov_type', 'diag', 'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(D,1), 'cov', diag(Psi0), 'weights', W0, ...
+   'cov_type', 'diag', 'clamp_mean', 1);
+
+ +The root node is clamped to the N(0,I) distribution, so that we will +not update these parameters during learning. +The mean of the leaf node is clamped to 0, +since we assume the data has been centered (had its mean subtracted +off); this is just for simplicity. +Finally, the covariance of the leaf node is constrained to be +diagonal. W0 and Psi0 are the initial parameter guesses. + +

+We can fit this model (i.e., estimate its parameters in a maximum +likelihood (ML) sense) using EM, as we +explain below. +Not surprisingly, the ML estimates for mu and Psi turn out to be +identical to the +sample mean and variance, which can be computed directly as +

+mu_ML = mean(data);
+Psi_ML = diag(cov(data));
+
+Note that W can only be identified up to a rotation matrix, because of +the spherical symmetry of the source. + +

+If we restrict Psi to be spherical, i.e., Psi = sigma*I, +there is a closed-form solution for W as well, +i.e., we do not need to use EM. +In particular, W contains the first |X| eigenvectors of the sample covariance +matrix, with scalings determined by the eigenvalues and sigma. +Classical PCA can be obtained by taking the sigma->0 limit. +For details, see + +

+ +

+By adding a hidden discrete variable, we can create mixtures of FA +models, as shown in (c). +Now we can explain the data using a set of subspaces. +We can create this model in BNT as follows. +

+ns = [M k D];
+dag = zeros(3);
+dag(1,3) = 1;
+dag(2,3) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', 1);
+bnet.CPD{1} = tabular_CPD(bnet, 1, Pi0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(k, 1), 'cov', eye(k), 'cov_type', 'diag', ...
+			   'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', Mu0', 'cov', repmat(diag(Psi0), [1 1 M]), ...
+			   'weights', W0, 'cov_type', 'diag', 'tied_cov', 1);
+
+Notice how the covariance matrix for Y is the same for all values of +Q; that is, the noise level in each sub-space is assumed the same. +However, we allow the offset, mu, to vary. +For details, see + + +

+I have included Zoubin's specialized MFA code (with his permission) +with the toolbox, so you can check that BNT gives the same results: +see 'BNT/examples/static/mfa1.m'. + +

+Independent Factor Analysis (IFA) generalizes FA by allowing a +non-Gaussian prior on each component of X. +(Note that we can approximate a non-Gaussian prior using a mixture of +Gaussians.) +This means that the likelihood function is no longer rotationally +invariant, so we can uniquely identify W and the hidden +sources X. +IFA also allows a non-diagonal Psi (i.e. correlations between the components of Y). +We recover classical Independent Components Analysis (ICA) +in the Psi -> 0 limit, and by assuming that |X|=|Y|, so that the +weight matrix W is square and invertible. +For details, see +

+ + + +

Mixtures of experts

+ +As an example of the use of the softmax function, +we introduce the Mixture of Experts model. + +As before, +circles denote continuous-valued nodes, +squares denote discrete nodes, clear +means hidden, and shaded means observed. +

+

+ + +
+ +
+
+

+X is the observed +input, Y is the output, and +the Q nodes are hidden "gating" nodes, which select the appropriate +set of parameters for Y. During training, Y is assumed observed, +but for testing, the goal is to predict Y given X. +Note that this is a conditional density model, so we don't +associate any parameters with X. +Hence X's CPD will be a root CPD, which is a way of modelling +exogenous nodes. +If the output is a continuous-valued quantity, +we assume the "experts" are linear-regression units, +and set Y's CPD to linear-Gaussian. +If the output is discrete, we set Y's CPD to a softmax function. +The Q CPDs will always be softmax functions. + +

+As a concrete example, consider the mixture of experts model where X and Y are +scalars, and Q is binary. +This is just piecewise linear regression, where +we have two line segments, i.e., +

+ +

+We can create this model with random parameters as follows. +(This code is bundled in BNT/examples/static/mixexp2.m.) +

+X = 1;
+Q = 2;
+Y = 3;
+dag = zeros(3,3);
+dag(X,[Q Y]) = 1
+dag(Q,Y) = 1;
+ns = [1 2 1]; % make X and Y scalars, and have 2 experts
+onodes = [1 3];
+bnet = mk_bnet(dag, ns, 'discrete', 2, 'observed', onodes);
+
+rand('state', 0);
+randn('state', 0);
+bnet.CPD{1} = root_CPD(bnet, 1);
+bnet.CPD{2} = softmax_CPD(bnet, 2);
+bnet.CPD{3} = gaussian_CPD(bnet, 3);
+
+Now let us fit this model using
EM. +First we load the data (1000 training cases) and plot them. +

+

+data = load('/examples/static/Misc/mixexp_data.txt', '-ascii');        
+plot(data(:,1), data(:,2), '.');
+
+

+

+ +
+

+This is what the model looks like before training. +(Thanks to Thomas Hofman for writing this plotting routine.) +

+

+ +
+

+Now let's train the model, and plot the final performance. +(We will discuss how to train models in more detail below.) +

+

+ncases = size(data, 1); % each row of data is a training case
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data'); % each column of cases is a training case
+engine = jtree_inf_engine(bnet);
+max_iter = 20;
+[bnet2, LLtrace] = learn_params_em(engine, cases, max_iter);
+
+(We specify which nodes will be observed when we create the engine. +Hence BNT knows that the hidden nodes are all discrete. +For complex models, this can lead to a significant speedup.) +Below we show what the model looks like after 16 iterations of EM +(with 100 IRLS iterations per M step), when it converged +using the default convergence tolerance (that the +fractional change in the log-likelihood be less than 1e-3). +Before learning, the log-likelihood was +-322.927442; afterwards, it was -13.728778. +

+

+ +
+(See BNT/examples/static/mixexp2.m for details of the code.) + + + +

Hierarchical mixtures of experts

+ +A hierarchical mixture of experts (HME) extends the mixture of experts +model by having more than one hidden node. A two-level example is shown below, along +with its more traditional representation as a neural network. +This is like a (balanced) probabilistic decision tree of height 2. +

+

+ +
+

+Pierpaolo Brutti +has written an extensive set of routines for HMEs, +which are bundled with BNT: see the examples/static/HME directory. +These routines allow you to choose the number of hidden (gating) +layers, and the form of the experts (softmax or MLP). +See the file hmemenu, which provides a demo. +For example, the figure below shows the decision boundaries learned +for a ternary classification problem, using a 2 level HME with softmax +gates and softmax experts; the training set is on the left, the +testing set on the right. +

+

+ + +
+

+ + +

+For more details, see the following: +

+ + +

QMR

+ +Bayes nets originally arose out of an attempt to add probabilities to +expert systems, and this is still the most common use for BNs. +A famous example is +QMR-DT, a decision-theoretic reformulation of the Quick Medical +Reference (QMR) model. +

+

+ +
+Here, the top layer represents hidden disease nodes, and the bottom +layer represents observed symptom nodes. +The goal is to infer the posterior probability of each disease given +all the symptoms (which can be present, absent or unknown). +Each node in the top layer has a Bernoulli prior (with a low prior +probability that the disease is present). +Since each node in the bottom layer has a high fan-in, we use a +noisy-OR parameterization; each disease has an independent chance of +causing each symptom. +The real QMR-DT model is copyright, but +we can create a random QMR-like model as follows. +
+function bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+% MK_QMR_BNET Make a QMR model
+% bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+%
+% G(i,j) = 1 iff there is an arc from disease i to finding j
+% inhibit(i,j) = inhibition probability on i->j arc
+% leak(j) = inhibition prob. on leak->j arc
+% prior(i) = prob. disease i is on
+
+[Ndiseases Nfindings] = size(inhibit);
+N = Ndiseases + Nfindings;
+finding_node = Ndiseases+1:N;
+ns = 2*ones(1,N);
+dag = zeros(N,N);
+dag(1:Ndiseases, finding_node) = G;
+bnet = mk_bnet(dag, ns, 'observed', finding_node);
+
+for d=1:Ndiseases
+  CPT = [1-prior(d) prior(d)];
+  bnet.CPD{d} = tabular_CPD(bnet, d, CPT');
+end
+
+for i=1:Nfindings
+  fnode = finding_node(i);
+  ps = parents(G, i);
+  bnet.CPD{fnode} = noisyor_CPD(bnet, fnode, leak(i), inhibit(ps, i));
+end
+
+In the file BNT/examples/static/qmr1, we create a random bipartite +graph G, with 5 diseases and 10 findings, and random parameters. +(In general, to create a random dag, use 'mk_random_dag'.) +We can visualize the resulting graph structure using +the methods discussed
below, with the +following results: +

+ + +

+Now let us put some random evidence on all the leaves except the very +first and very last, and compute the disease posteriors. +

+pos = 2:floor(Nfindings/2);
+neg = (pos(end)+1):(Nfindings-1);
+onodes = myunion(pos, neg);
+evidence = cell(1, N);
+evidence(findings(pos)) = num2cell(repmat(2, 1, length(pos)));
+evidence(findings(neg)) = num2cell(repmat(1, 1, length(neg)));
+
+engine = jtree_inf_engine(bnet);
+[engine, ll] = enter_evidence(engine, evidence);
+post = zeros(1, Ndiseases);
+for i=diseases(:)'
+  m = marginal_nodes(engine, i);
+  post(i) = m.T(2);
+end
+
+Junction tree can be quite slow on large QMR models. +Fortunately, it is possible to exploit properties of the noisy-OR +function to speed up exact inference using an algorithm called +quickscore, discussed below. + + + + + +

Conditional Gaussian models

+ +A conditional Gaussian model is one in which, conditioned on all the discrete +nodes, the distribution over the remaining (continuous) nodes is +multivariate Gaussian. This means we can have arcs from discrete (D) +to continuous (C) nodes, but not vice versa. +(We are allowed C->D arcs if the continuous nodes are observed, +as in the mixture of experts model, +since this distribution can be represented with a discrete potential.) +

+We now give an example of a CG model, from +the paper "Propagation of Probabilities, Means amd +Variances in Mixed Graphical Association Models", Steffen Lauritzen, +JASA 87(420):1098--1108, 1992 (reprinted in the book "Probabilistic Networks and Expert +Systems", R. G. Cowell, A. P. Dawid, S. L. Lauritzen and +D. J. Spiegelhalter, Springer, 1999.) + +

Specifying the graph

+ +Consider the model of waste emissions from an incinerator plant shown below. +We follow the standard convention that shaded nodes are observed, +clear nodes are hidden. +We also use the non-standard convention that +square nodes are discrete (tabular) and round nodes are +Gaussian. + +

+

+ +
+

+ +We can create this model as follows. +

+F = 1; W = 2; E = 3; B = 4; C = 5; D = 6; Min = 7; Mout = 8; L = 9;
+n = 9;
+
+dag = zeros(n);
+dag(F,E)=1;
+dag(W,[E Min D]) = 1;
+dag(E,D)=1;
+dag(B,[C D])=1;
+dag(D,[L Mout])=1;
+dag(Min,Mout)=1;
+
+% node sizes - all cts nodes are scalar, all discrete nodes are binary
+ns = ones(1, n);
+dnodes = [F W B];
+cnodes = mysetdiff(1:n, dnodes);
+ns(dnodes) = 2;
+
+bnet = mk_bnet(dag, ns, 'discrete', dnodes);
+
+'dnodes' is a list of the discrete nodes; 'cnodes' is the continuous +nodes. 'mysetdiff' is a faster version of the built-in 'setdiff'. +

+ + +

Specifying the parameters

+ +The parameters of the discrete nodes can be specified as follows. +
+bnet.CPD{B} = tabular_CPD(bnet, B, 'CPT', [0.85 0.15]); % 1=stable, 2=unstable
+bnet.CPD{F} = tabular_CPD(bnet, F, 'CPT', [0.95 0.05]); % 1=intact, 2=defect
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [2/7 5/7]); % 1=industrial, 2=household
+
+ +

+The parameters of the continuous nodes can be specified as follows. +

+bnet.CPD{E} = gaussian_CPD(bnet, E, 'mean', [-3.9 -0.4 -3.2 -0.5], ...
+			   'cov', [0.00002 0.0001 0.00002 0.0001]);
+bnet.CPD{D} = gaussian_CPD(bnet, D, 'mean', [6.5 6.0 7.5 7.0], ...
+			   'cov', [0.03 0.04 0.1 0.1], 'weights', [1 1 1 1]);
+bnet.CPD{C} = gaussian_CPD(bnet, C, 'mean', [-2 -1], 'cov', [0.1 0.3]);
+bnet.CPD{L} = gaussian_CPD(bnet, L, 'mean', 3, 'cov', 0.25, 'weights', -0.5);
+bnet.CPD{Min} = gaussian_CPD(bnet, Min, 'mean', [0.5 -0.5], 'cov', [0.01 0.005]);
+bnet.CPD{Mout} = gaussian_CPD(bnet, Mout, 'mean', 0, 'cov', 0.002, 'weights', [1 1]);
+
+ + +

Inference

+ + +First we compute the unconditional marginals. +
+engine = jtree_inf_engine(bnet);
+evidence = cell(1,n);
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, E);
+
+ +'marg' is a structure that contains the fields 'mu' and 'Sigma', which +contain the mean and (co)variance of the marginal on E. +In this case, they are both scalars. +Let us check they match the published figures (to 2 decimal places). + +
+tol = 1e-2;
+assert(approxeq(marg.mu, -3.25, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.709, tol));
+
+We can compute the other posteriors similarly. +Now let us add some evidence. +
+evidence = cell(1,n);
+evidence{W} = 1; % industrial
+evidence{L} = 1.1;
+evidence{C} = -0.9;
+[engine, ll] = enter_evidence(engine, evidence);
+
+Now we find +
+marg = marginal_nodes(engine, E);
+assert(approxeq(marg.mu, -3.8983, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.0763, tol));
+
+ + +We can also compute the joint probability on a set of nodes. +For example, P(D, Mout | evidence) is a 2D Gaussian: +
+marg = marginal_nodes(engine, [D Mout])
+marg = 
+    domain: [6 8]
+        mu: [2x1 double]
+     Sigma: [2x2 double]
+         T: 1.0000
+
+The mean is +
+marg.mu
+ans =
+    3.6077
+    4.1077
+
+and the covariance matrix is +
+marg.Sigma
+ans =
+    0.1062    0.1062
+    0.1062    0.1182
+
+It is easy to visualize this posterior using standard Matlab plotting +functions, e.g., +
+gaussplot2d(marg.mu, marg.Sigma);
+
+produces the following picture. + +

+

+ +
+

+ + +The T field indicates that the mixing weight of this Gaussian +component is 1.0. +If the joint contains discrete and continuous variables, the result +will be a mixture of Gaussians, e.g., +

+marg = marginal_nodes(engine, [F E])
+    domain: [1 3]
+        mu: [-3.9000 -0.4003]
+     Sigma: [1x1x2 double]
+         T: [0.9995 4.7373e-04]
+
+The interpretation is +Sigma(i,j,k) = Cov[ E(i) E(j) | F=k ]. +In this case, E is a scalar, so i=j=1; k specifies the mixture component. +

+We saw in the sprinkler network that BNT sets the effective size of +observed discrete nodes to 1, since they only have one legal value. +For continuous nodes, BNT sets their length to 0, +since they have been reduced to a point. +For example, +

+marg = marginal_nodes(engine, [B C])
+    domain: [4 5]
+        mu: []
+     Sigma: []
+         T: [0.0123 0.9877]
+
+It is simple to post-process the output of marginal_nodes. +For example, the file BNT/examples/static/cg1 sets the mu term of +observed nodes to their observed value, and the Sigma term to 0 (since +observed nodes have no variance). + +

+Note that the implemented version of the junction tree is numerically +unstable when using CG potentials +(which is why, in the example above, we only required our answers to agree with +the published ones to 2dp.) +This is why you might want to use stab_cond_gauss_inf_engine, +implemented by Shan Huang. This is described in + +

    +
  • "Stable Local Computation with Conditional Gaussian Distributions", +S. Lauritzen and F. Jensen, Tech Report R-99-2014, +Dept. Math. Sciences, Allborg Univ., 1999. +
+ +However, even the numerically stable version +can be computationally intractable if there are many hidden discrete +nodes, because the number of mixture components grows exponentially e.g., in a +
switching linear dynamical system. +In general, one must resort to approximate inference techniques: see +the discussion on inference engines below. + + +

Other hybrid models

+ +When we have C->D arcs, where C is hidden, we need to use +approximate inference. +One approach (not implemented in BNT) is described in + +Of course, one can always use sampling methods +for approximate inference in such models. + + + +

Parameter Learning

+ +The parameter estimation routines in BNT can be classified into 4 +types, depending on whether the goal is to compute +a full (Bayesian) posterior over the parameters or just a point +estimate (e.g., Maximum Likelihood or Maximum A Posteriori), +and whether all the variables are fully observed or there is missing +data/ hidden variables (partial observability). +

+ + + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_paramslearn_params_em
Bayesbayes_update_paramsnot yet supported
+ + +

Loading data from a file

+ +To load numeric data from an ASCII text file called 'dat.txt', where each row is a +case and columns are separated by white-space, such as +
+011979 1626.5 0.0
+021979 1367.0 0.0
+...
+
+you can use +
+data = load('dat.txt');
+
+or +
+load dat.txt -ascii
+
+In the latter case, the data is stored in a variable called 'dat' (the +filename minus the extension). +Alternatively, suppose the data is stored in a .csv file (has commas +separating the columns, and contains a header line), such as +
+header info goes here
+ORD,011979,1626.5,0.0
+DSM,021979,1367.0,0.0
+...
+
+You can load this using +
+[a,b,c,d] = textread('dat.txt', '%s %d %f %f', 'delimiter', ',', 'headerlines', 1);
+
+If your file is not in either of these formats, you can either use Perl to convert +it to this format, or use the Matlab scanf command. +Type + +help iofun + +for more information on Matlab's file functions. + +

+BNT learning routines require data to be stored in a cell array. +data{i,m} is the value of node i in case (example) m, i.e., each +column is a case. +If node i is not observed in case m (missing value), set +data{i,m} = []. +(Not all the learning routines can cope with such missing values, however.) +In the special case that all the nodes are observed and are +scalar-valued (as opposed to vector-valued), the data can be +stored in a matrix (as opposed to a cell-array). +

+Suppose, as in the mixture of experts example, +that we have 3 nodes in the graph: X(1) is the observed input, X(3) is +the observed output, and X(2) is a hidden (gating) node. We can +create the dataset as follows. +

+data = load('dat.txt');
+ncases = size(data, 1);
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data');
+
+Notice how we transposed the data, to convert rows into columns. +Also, cases{2,m} = [] for all m, since X(2) is always hidden. + + +

Maximum likelihood parameter estimation from complete data

+ +As an example, let's generate some data from the sprinkler network, randomize the parameters, +and then try to recover the original model. +First we create some training data using forwards sampling. +
+samples = cell(N, nsamples);
+for i=1:nsamples
+  samples(:,i) = sample_bnet(bnet);
+end
+
+samples{j,i} contains the value of the j'th node in case i. +sample_bnet returns a cell array because, in general, each node might +be a vector of different length. +In this case, all nodes are discrete (and hence scalars), so we +could have used a regular array instead (which can be quicker): +
+data = cell2num(samples);
+
+Now we create a network with random parameters. +(The initial values of bnet2 don't matter in this case, since we can find the +globally optimal MLE independent of where we start.) +
+% Make a tabula rasa
+bnet2 = mk_bnet(dag, node_sizes);
+seed = 0;
+rand('state', seed);
+bnet2.CPD{C} = tabular_CPD(bnet2, C);
+bnet2.CPD{R} = tabular_CPD(bnet2, R);
+bnet2.CPD{S} = tabular_CPD(bnet2, S);
+bnet2.CPD{W} = tabular_CPD(bnet2, W);
+
+Finally, we find the maximum likelihood estimates of the parameters. +
+bnet3 = learn_params(bnet2, samples);
+
+To view the learned parameters, we use a little Matlab hackery. +
+CPT3 = cell(1,N);
+for i=1:N
+  s=struct(bnet3.CPD{i});  % violate object privacy
+  CPT3{i}=s.CPT;
+end
+
+Here are the parameters learned for node 4. +
+dispcpt(CPT3{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.2000 0.8000 
+1 2 : 0.2273 0.7727 
+2 2 : 0.0000 1.0000 
+
+So we see that the learned parameters are fairly close to the "true" +ones, which we display below. +
+dispcpt(CPT{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.1000 0.9000 
+1 2 : 0.1000 0.9000 
+2 2 : 0.0100 0.9900 
+
+We can get better results by using a larger training set, or using +informative priors (see
below). + + + +

Parameter priors

+ +Currently, only tabular CPDs can have priors on their parameters. +The conjugate prior for a multinomial is the Dirichlet. +(For binary random variables, the multinomial is the same as the +Bernoulli, and the Dirichlet is the same as the Beta.) +

+The Dirichlet has a simple interpretation in terms of pseudo counts. +If we let N_ijk = the num. times X_i=k and Pa_i=j occurs in the +training set, where Pa_i are the parents of X_i, +then the maximum likelihood (ML) estimate is +T_ijk = N_ijk / N_ij (where N_ij = sum_k' N_ijk'), which will be 0 if N_ijk=0. +To prevent us from declaring that (X_i=k, Pa_i=j) is impossible just because this +event was not seen in the training set, +we can pretend we saw value k of X_i, for each value j of Pa_i some number (alpha_ijk) +of times in the past. +The MAP (maximum a posterior) estimate is then +

+T_ijk = (N_ijk + alpha_ijk) / (N_ij + alpha_ij)
+
+and is never 0 if all alpha_ijk > 0. +For example, consider the network A->B, where A is binary and B has 3 +values. +A uniform prior for B has the form +
+    B=1 B=2 B=3
+A=1 1   1   1
+A=2 1   1   1
+
+which can be created using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif');
+
+This prior does not satisfy the likelihood equivalence principle, +which says that
Markov equivalent models +should have the same marginal likelihood. +A prior that does satisfy this principle is shown below. +Heckerman (1995) calls this the +BDeu prior (likelihood equivalent uniform Bayesian Dirichlet). +
+    B=1 B=2 B=3
+A=1 1/6 1/6 1/6
+A=2 1/6 1/6 1/6
+
+where we put N/(q*r) in each bin; N is the equivalent sample size, +r=|A|, q = |B|. +This can be created as follows +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'BDeu');
+
+Here, 1 is the equivalent sample size, and is the strength of the +prior. +You can change this using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', ...
+   'BDeu', 'dirichlet_weight', 10);
+
+ + + + +

(Sequential) Bayesian parameter updating from complete data

+ +If we use conjugate priors and have fully observed data, we can +compute the posterior over the parameters in batch form as follows. +
+cases = sample_bnet(bnet, nsamples);
+bnet = bayes_update_params(bnet, cases);  
+LL = log_marg_lik_complete(bnet, cases);   
+
+bnet.CPD{i}.prior contains the new Dirichlet pseudocounts, +and bnet.CPD{i}.CPT is set to the mean of the posterior (the +normalized counts). +(Hence if the initial pseudo counts are 0, +bayes_update_params and learn_params will give the +same result.) + + + + +

+We can compute the same result sequentially (on-line) as follows. +

+LL = 0;
+for m=1:nsamples
+  LL = LL + log_marg_lik_complete(bnet, cases(:,m));
+  bnet = bayes_update_params(bnet, cases(:,m));
+end
+
+ +The file BNT/examples/static/StructLearn/model_select1 has an example of +sequential model selection which uses the same idea. +We generate data from the model A->B +and compute the posterior prob of all 3 dags on 2 nodes: + (1) A B, (2) A <- B , (3) A -> B +Models 2 and 3 are
Markov equivalent, and therefore indistinguishable from +observational data alone, so we expect their posteriors to be the same +(assuming a prior which satisfies likelihood equivalence). +If we use random parameters, the "true" model only gets a higher posterior after 2000 trials! +However, if we make B a noisy NOT gate, the true model "wins" after 12 +trials, as shown below (red = model 1, blue/green (superimposed) +represents models 2/3). +

+ +

+The use of marginal likelihood for model selection is discussed in +greater detail in the +section on structure learning. + + + + +

Maximum likelihood parameter estimation with missing values

+ +Now we consider learning when some values are not observed. +Let us randomly hide half the values generated from the water +sprinkler example. +
+samples2 = samples;
+hide = rand(N, nsamples) > 0.5;
+[I,J]=find(hide);
+for k=1:length(I)
+  samples2{I(k), J(k)} = [];
+end
+
+samples2{i,l} is the value of node i in training case l, or [] if unobserved. +

+Now we will compute the MLEs using the EM algorithm. +We need to use an inference algorithm to compute the expected +sufficient statistics in the E step; the M (maximization) step is as +above. +

+engine2 = jtree_inf_engine(bnet2);
+max_iter = 10;
+[bnet4, LLtrace] = learn_params_em(engine2, samples2, max_iter);
+
+LLtrace(i) is the log-likelihood at iteration i. We can plot this as +follows: +
+plot(LLtrace, 'x-')
+
+Let's display the results after 10 iterations of EM. +
+celldisp(CPT4)
+CPT4{1} =
+    0.6616
+    0.3384
+CPT4{2} =
+    0.6510    0.3490
+    0.8751    0.1249
+CPT4{3} =
+    0.8366    0.1634
+    0.0197    0.9803
+CPT4{4} =
+(:,:,1) =
+    0.8276    0.0546
+    0.5452    0.1658
+(:,:,2) =
+    0.1724    0.9454
+    0.4548    0.8342
+
+We can get improved performance by using one or more of the following +methods: +
    +
  • Increasing the size of the training set. +
  • Decreasing the amount of hidden data. +
  • Running EM for longer. +
  • Using informative priors. +
  • Initialising EM from multiple starting points. +
+ +Click
here for a discussion of learning +Gaussians, which can cause numerical problems. +

+For a more complete example of learning with EM, +see the script BNT/examples/static/learn1.m. + +

Parameter tying

+ +In networks with repeated structure (e.g., chains and grids), it is +common to assume that the parameters are the same at every node. This +is called parameter tying, and reduces the amount of data needed for +learning. +

+When we have tied parameters, there is no longer a one-to-one +correspondence between nodes and CPDs. +Rather, each CPD species the parameters for a whole equivalence class +of nodes. +It is easiest to see this by example. +Consider the following hidden Markov +model (HMM) +

+ +

+ +When HMMs are used for semi-infinite processes like speech recognition, +we assume the transition matrix +P(H(t+1)|H(t)) is the same for all t; this is called a time-invariant +or homogenous Markov chain. +Hence hidden nodes 2, 3, ..., T +are all in the same equivalence class, say class Hclass. +Similarly, the observation matrix P(O(t)|H(t)) is assumed to be the +same for all t, so the observed nodes are all in the same equivalence +class, say class Oclass. +Finally, the prior term P(H(1)) is in a class all by itself, say class +H1class. +This is illustrated below, where we explicitly represent the +parameters as random variables (dotted nodes). +

+ +

+In BNT, we cannot represent parameters as random variables (nodes). +Instead, we "hide" the +parameters inside one CPD for each equivalence class, +and then specify that the other CPDs should share these parameters, as +follows. +

+hnodes = 1:2:2*T;
+onodes = 2:2:2*T;
+H1class = 1; Hclass = 2; Oclass = 3;
+eclass = ones(1,N);
+eclass(hnodes(2:end)) = Hclass;
+eclass(hnodes(1)) = H1class;
+eclass(onodes) = Oclass;
+% create dag and ns in the usual way
+bnet = mk_bnet(dag, ns, 'discrete', dnodes, 'equiv_class', eclass);
+
+Finally, we define the parameters for each equivalence class: +
+bnet.CPD{H1class} = tabular_CPD(bnet, hnodes(1)); % prior
+bnet.CPD{Hclass} = tabular_CPD(bnet, hnodes(2)); % transition matrix
+if cts_obs
+  bnet.CPD{Oclass} = gaussian_CPD(bnet, onodes(1));
+else
+  bnet.CPD{Oclass} = tabular_CPD(bnet, onodes(1));
+end
+
+In general, if bnet.CPD{e} = xxx_CPD(bnet, j), then j should be a +member of e's equivalence class; that is, it is not always the case +that e == j. You can use bnet.rep_of_eclass(e) to return the +representative of equivalence class e. +BNT will look up the parents of j to determine the size +of the CPT to use. It assumes that this is the same for all members of +the equivalence class. +Click here for +a more complex example of parameter tying. +

+Note: +Normally one would define an HMM as a +Dynamic Bayes Net +(see the function BNT/examples/dynamic/mk_chmm.m). +However, one can define an HMM as a static BN using the function +BNT/examples/static/Models/mk_hmm_bnet.m. + + + +

Structure learning

+ +Update (9/29/03): +Phillipe LeRay is developing some additional structure learning code +on top of BNT. Click + +here +for details. + +

+ +There are two very different approaches to structure learning: +constraint-based and search-and-score. +In the constraint-based approach, +we start with a fully connected graph, and remove edges if certain +conditional independencies are measured in the data. +This has the disadvantage that repeated independence tests lose +statistical power. +

+In the more popular search-and-score approach, +we perform a search through the space of possible DAGs, and either +return the best one found (a point estimate), or return a sample of the +models found (an approximation to the Bayesian posterior). +

+The number of DAGs as a function of the number of +nodes, G(n), is super-exponential in n, +and is given by the following recurrence + +

+

+ +
+

+The first few values +are shown below. + + + + + + + + + + + + + +
n G(n)
1 1
2 3
3 25
4 543
5 29,281
6 3,781,503
7 1.1 x 10^9
8 7.8 x 10^11
9 1.2 x 10^15
10 4.2 x 10^18
+ +Since the number of DAGs is super-exponential in the number of nodes, +we cannot exhaustively search the space, so we either use a local +search algorithm (e.g., greedy hill climbining, perhaps with multiple +restarts) or a global search algorithm (e.g., Markov Chain Monte +Carlo). +

+If we know a total ordering on the nodes, +finding the best structure amounts to picking the best set of parents +for each node independently. +This is what the K2 algorithm does. +If the ordering is unknown, we can search over orderings, +which is more efficient than searching over DAGs (Koller and Friedman, 2000). +

+In addition to the search procedure, we must specify the scoring +function. There are two popular choices. The Bayesian score integrates +out the parameters, i.e., it is the marginal likelihood of the model. +The BIC (Bayesian Information Criterion) is defined as +log P(D|theta_hat) - 0.5*d*log(N), where D is the data, theta_hat is +the ML estimate of the parameters, d is the number of parameters, and +N is the number of data cases. +The BIC method has the advantage of not requiring a prior. +

+BIC can be derived as a large sample +approximation to the marginal likelihood. +(It is also equal to the Minimum Description Length of a model.) +However, in practice, the sample size does not need to be very large +for the approximation to be good. +For example, in the figure below, we plot the ratio between the log marginal likelihood +and the BIC score against data-set size; we see that the ratio rapidly +approaches 1, especially for non-informative priors. +(This plot was generated by the file BNT/examples/static/bic1.m. It +uses the water sprinkler BN with BDeu Dirichlet priors with different +equivalent sample sizes.) + +

+

+ +
+

+ +

+As with parameter learning, handling missing data/ hidden variables is +much harder than the fully observed case. +The structure learning routines in BNT can therefore be classified into 4 +types, analogously to the parameter learning case. +

+ + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_struct_K2
+ +
not yet supported
Bayeslearn_struct_mcmcnot yet supported
+ + +

Markov equivalence

+ +If two DAGs encode the same conditional independencies, they are +called Markov equivalent. The set of all DAGs can be paritioned into +Markov equivalence classes. Graphs within the same class can +have +the direction of some of their arcs reversed without changing any of +the CI relationships. +Each class can be represented by a PDAG +(partially directed acyclic graph) called an essential graph or +pattern. This specifies which edges must be oriented in a certain +direction, and which may be reversed. + +

+When learning graph structure from observational data, +the best one can hope to do is to identify the model up to Markov +equivalence. To distinguish amongst graphs within the same equivalence +class, one needs interventional data: see the discussion on active learning below. + + + +

Exhaustive search

+ +The brute-force approach to structure learning is to enumerate all +possible DAGs, and score each one. This provides a "gold standard" +with which to compare other algorithms. We can do this as follows. +
+dags = mk_all_dags(N);
+score = score_dags(data, ns, dags);
+
+where data(i,m) is the value of node i in case m, +and ns(i) is the size of node i. +If the DAGs have a lot of families in common, we can cache the sufficient statistics, +making this potentially more efficient than scoring the DAGs one at a time. +(Caching is not currently implemented, however.) +

+By default, we use the Bayesian scoring metric, and assume CPDs are +represented by tables with BDeu(1) priors. +We can override these defaults as follows. +If we want to use uniform priors, we can say +

+params = cell(1,N);
+for i=1:N
+  params{i} = {'prior', 'unif'};
+end
+score = score_dags(data, ns, dags, 'params', params);
+
+params{i} is a cell-array, containing optional arguments that are +passed to the constructor for CPD i. +

+Now suppose we want to use different node types, e.g., +Suppose nodes 1 and 2 are Gaussian, and nodes 3 and 4 softmax (both +these CPDs can support discrete and continuous parents, which is +necessary since all other nodes will be considered as parents). +The Bayesian scoring metric currently only works for tabular CPDs, so +we will use BIC: +

+score = score_dags(data, ns, dags, 'discrete', [3 4], 'params', [], 
+    'type', {'gaussian', 'gaussian', 'softmax', softmax'}, 'scoring_fn', 'bic')
+
+In practice, one can't enumerate all possible DAGs for N > 5, +but one can evaluate any reasonably-sized set of hypotheses in this +way (e.g., nearest neighbors of your current best guess). +Think of this as "computer assisted model refinement" as opposed to de +novo learning. + + +

K2

+ +The K2 algorithm (Cooper and Herskovits, 1992) is a greedy search algorithm that works as follows. +Initially each node has no parents. It then adds incrementally that parent whose addition most +increases the score of the resulting structure. When the addition of no single +parent can increase the score, it stops adding parents to the node. +Since we are using a fixed ordering, we do not need to check for +cycles, and can choose the parents for each node independently. +

+The original paper used the Bayesian scoring +metric with tabular CPDs and Dirichlet priors. +BNT generalizes this to allow any kind of CPD, and either the Bayesian +scoring metric or BIC, as in the example above. +In addition, you can specify +an optional upper bound on the number of parents for each node. +The file BNT/examples/static/k2demo1.m gives an example of how to use K2. +We use the water sprinkler network and sample 100 cases from it as before. +Then we see how much data it takes to recover the generating structure: +

+order = [C S R W];
+max_fan_in = 2;
+sz = 5:5:100;
+for i=1:length(sz)
+  dag2 = learn_struct_K2(data(:,1:sz(i)), node_sizes, order, 'max_fan_in', max_fan_in);
+  correct(i) = isequal(dag, dag2);
+end
+
+Here are the results. +
+correct =
+  Columns 1 through 12 
+     0     0     0     0     0     0     0     1     0     1     1     1
+  Columns 13 through 20 
+     1     1     1     1     1     1     1     1
+
+So we see it takes about sz(10)=50 cases. (BIC behaves similarly, +showing that the prior doesn't matter too much.) +In general, we cannot hope to recover the "true" generating structure, +only one that is in its Markov equivalence +class. + + +

Hill-climbing

+ +Hill-climbing starts at a specific point in space, +considers all nearest neighbors, and moves to the neighbor +that has the highest score; if no neighbors have higher +score than the current point (i.e., we have reached a local maximum), +the algorithm stops. One can then restart in another part of the space. +

+A common definition of "neighbor" is all graphs that can be +generated from the current graph by adding, deleting or reversing a +single arc, subject to the acyclicity constraint. +Other neighborhoods are possible: see + +Optimal Structure Identification with Greedy Search, Max +Chickering, JMLR 2002. + + + + +

MCMC

+ +We can use a Markov Chain Monte Carlo (MCMC) algorithm called +Metropolis-Hastings (MH) to search the space of all +DAGs. +The standard proposal distribution is to consider moving to all +nearest neighbors in the sense defined above. +

+The function can be called +as in the following example. +

+[sampled_graphs, accept_ratio] = learn_struct_mcmc(data, ns, 'nsamples', 100, 'burnin', 10);
+
+We can convert our set of sampled graphs to a histogram +(empirical posterior over all the DAGs) thus +
+all_dags = mk_all_dags(N);
+mcmc_post = mcmc_sample_to_hist(sampled_graphs, all_dags);
+
+To see how well this performs, let us compute the exact posterior exhaustively. +

+

+score = score_dags(data, ns, all_dags);
+post = normalise(exp(score)); % assuming uniform structural prior
+
+We plot the results below. +(The data set was 100 samples drawn from a random 4 node bnet; see the +file BNT/examples/static/mcmc1.) +
+subplot(2,1,1)
+bar(post)
+subplot(2,1,2)
+bar(mcmc_post)
+
+ +

+We can also plot the acceptance ratio versus number of MCMC steps, +as a crude convergence diagnostic. +

+clf
+plot(accept_ratio)
+
+ +

+Even though the number of samples needed by MCMC is theoretically +polynomial (not exponential) in the dimensionality of the search space, in practice it has been +found that MCMC does not converge in reasonable time for graphs with +more than about 10 nodes. + + + + +

Active structure learning

+ +As was mentioned above, +one can only learn a DAG up to Markov equivalence, even given infinite data. +If one is interested in learning the structure of a causal network, +one needs interventional data. +(By "intervention" we mean forcing a node to take on a specific value, +thereby effectively severing its incoming arcs.) +

+Most of the scoring functions accept an optional argument +that specifies whether a node was observed to have a certain value, or +was forced to have that value: we set clamped(i,m)=1 if node i was +forced in training case m. e.g., see the file +BNT/examples/static/cooper_yoo. +

+An interesting question is to decide which interventions to perform +(c.f., design of experiments). For details, see the following tech +report +

+ + +

Structural EM

+ +Computing the Bayesian score when there is partial observability is +computationally challenging, because the parameter posterior becomes +multimodal (the hidden nodes induce a mixture distribution). +One therefore needs to use approximations such as BIC. +Unfortunately, search algorithms are still expensive, because we need +to run EM at each step to compute the MLE, which is needed to compute +the score of each model. An alternative approach is +to do the local search steps inside of the M step of EM, which is more +efficient since the data has been "filled in" - this is +called the structural EM algorithm (Friedman 1997), and provably +converges to a local maximum of the BIC score. +

+Wei Hu has implemented SEM for discrete nodes. +You can download his package from +here. +Please address all questions about this code to +wei.hu@intel.com. +See also Phl's implementation of SEM. + + + + +

Visualizing the graph

+ +Click here for more information +on graph visualization. + +

Constraint-based methods

+ +The IC algorithm (Pearl and Verma, 1991), +and the faster, but otherwise equivalent, PC algorithm (Spirtes, Glymour, and Scheines 1993), +computes many conditional independence tests, +and combines these constraints into a +PDAG to represent the whole +Markov equivalence class. +

+IC*/FCI extend IC/PC to handle latent variables: see below. +(IC stands for inductive causation; PC stands for Peter and Clark, +the first names of Spirtes and Glymour; FCI stands for fast causal +inference. +What we, following Pearl (2000), call IC* was called +IC in the original Pearl and Verma paper.) +For details, see +

+ +

+ +The PC algorithm takes as arguments a function f, the number of nodes N, +the maximum fan in K, and additional arguments A which are passed to f. +The function f(X,Y,S,A) returns 1 if X is conditionally independent of Y given S, and 0 +otherwise. +For example, suppose we cheat by +passing in a CI "oracle" which has access to the true DAG; the oracle +tests for d-separation in this DAG, i.e., +f(X,Y,S) calls dsep(X,Y,S,dag). We can to this as follows. +

+pdag = learn_struct_pdag_pc('dsep', N, max_fan_in, dag);
+
+pdag(i,j) = -1 if there is definitely an i->j arc, +and pdag(i,j) = 1 if there is either an i->j or and i<-j arc. +

+Applied to the sprinkler network, this returns +

+pdag =
+     0     1     1     0
+     1     0     0    -1
+     1     0     0    -1
+     0     0     0     0
+
+So as expected, we see that the V-structure at the W node is uniquely identified, +but the other arcs have ambiguous orientation. +

+We now give an example from p141 (1st edn) / p103 (2nd end) of the SGS +book. +This example concerns the female orgasm. +We are given a correlation matrix C between 7 measured factors (such +as subjective experiences of coital and masturbatory experiences), +derived from 281 samples, and want to learn a causal model of the +data. We will not discuss the merits of this type of work here, but +merely show how to reproduce the results in the SGS book. +Their program, +Tetrad, +makes use of the Fisher Z-test for conditional +independence, so we do the same: +

+max_fan_in = 4;
+nsamples = 281;
+alpha = 0.05;
+pdag = learn_struct_pdag_pc('cond_indep_fisher_z', n, max_fan_in, C, nsamples, alpha);
+
+In this case, the CI test is +
+f(X,Y,S) = cond_indep_fisher_z(X,Y,S,  C,nsamples,alpha)
+
+The results match those of Fig 12a of SGS apart from two edge +differences; presumably this is due to rounding error (although it +could be a bug, either in BNT or in Tetrad). +This example can be found in the file BNT/examples/static/pc2.m. + +

+ +The IC* algorithm (Pearl and Verma, 1991), +and the faster FCI algorithm (Spirtes, Glymour, and Scheines 1993), +are like the IC/PC algorithm, except that they can detect the presence +of latent variables. +See the file learn_struct_pdag_ic_star written by Tamar +Kushnir. The output is a matrix P, defined as follows +(see Pearl (2000), p52 for details): +

+% P(i,j) = -1 if there is either a latent variable L such that i <-L->j OR there is a directed edge from i->j.
+% P(i,j) = -2 if there is a marked directed i-*>j edge.
+% P(i,j) = P(j,i) = 1 if there is and undirected edge i--j
+% P(i,j) = P(j,i) = 2 if there is a latent variable L such that i<-L->j.
+
+ + +

Philippe Leray's structure learning package

+ +Philippe Leray has written a + +structure learning package that uses BNT. + +It currently (Juen 2003) has the following features: +
    +
  • PC with Chi2 statistical test +
  • MWST : Maximum weighted Spanning Tree +
  • Hill Climbing +
  • Greedy Search +
  • Structural EM +
  • hist_ic : optimal Histogram based on IC information criterion +
  • cpdag_to_dag +
  • dag_to_cpdag +
  • ... +
+ + + + + + + + + + + +

Inference engines

+ +Up until now, we have used the junction tree algorithm for inference. +However, sometimes this is too slow, or not even applicable. +In general, there are many inference algorithms each of which make +different tradeoffs between speed, accuracy, complexity and +generality. Furthermore, there might be many implementations of the +same algorithm; for instance, a general purpose, readable version, +and a highly-optimized, specialized one. +To cope with this variety, we treat each inference algorithm as an +object, which we call an inference engine. + +

+An inference engine is an object that contains a bnet and supports the +'enter_evidence' and 'marginal_nodes' methods. The engine constructor +takes the bnet as argument and may do some model-specific processing. +When 'enter_evidence' is called, the engine may do some +evidence-specific processing. Finally, when 'marginal_nodes' is +called, the engine may do some query-specific processing. + +

+The amount of work done when each stage is specified -- structure, +parameters, evidence, and query -- depends on the engine. The cost of +work done early in this sequence can be amortized. On the other hand, +one can make better optimizations if one waits until later in the +sequence. +For example, the parameters might imply +conditional indpendencies that are not evident in the graph structure, +but can nevertheless be exploited; the evidence indicates which nodes +are observed and hence can effectively be disconnected from the +graph; and the query might indicate that large parts of the network +are d-separated from the query nodes. (Since it is not the actual +values of the evidence that matters, just which nodes are observed, +many engines allow you to specify which nodes will be observed when they are constructed, +i.e., before calling 'enter_evidence'. Some engines can still cope if +the actual pattern of evidence is different, e.g., if there is missing +data.) +

+ +Although being maximally lazy (i.e., only doing work when a query is +issued) may seem desirable, +this is not always the most efficient. +For example, +when learning using EM, we need to call marginal_nodes N times, where N is the +number of nodes. Variable elimination would end +up repeating a lot of work +each time marginal_nodes is called, making it inefficient for +learning. The junction tree algorithm, by contrast, uses dynamic +programming to avoid this redundant computation --- it calculates all +marginals in two passes during 'enter_evidence', so calling +'marginal_nodes' takes constant time. +

+We will discuss some of the inference algorithms implemented in BNT +below, and finish with a summary of all +of them. + + + + + + + +

Variable elimination

+ +The variable elimination algorithm, also known as bucket elimination +or peeling, is one of the simplest inference algorithms. +The basic idea is to "push sums inside of products"; this is explained +in more detail +here. +

+The principle of distributing sums over products can be generalized +greatly to apply to any commutative semiring. +This forms the basis of many common algorithms, such as Viterbi +decoding and the Fast Fourier Transform. For details, see + +

+ +

+Choosing an order in which to sum out the variables so as to minimize +computational cost is known to be NP-hard. +The implementation of this algorithm in +var_elim_inf_engine makes no attempt to optimize this +ordering (in contrast, say, to jtree_inf_engine, which uses a +greedy search procedure to find a good ordering). +

+Note: unlike most algorithms, var_elim does all its computational work +inside of marginal_nodes, not inside of +enter_evidence. + + + + +

Global inference methods

+ +The simplest inference algorithm of all is to explicitely construct +the joint distribution over all the nodes, and then to marginalize it. +This is implemented in global_joint_inf_engine. +Since the size of the joint is exponential in the +number of discrete (hidden) nodes, this is not a very practical algorithm. +It is included merely for pedagogical and debugging purposes. +

+Three specialized versions of this algorithm have also been implemented, +corresponding to the cases where all the nodes are discrete (D), all +are Gaussian (G), and some are discrete and some Gaussian (CG). +They are called enumerative_inf_engine, +gaussian_inf_engine, +and cond_gauss_inf_engine respectively. +

+Note: unlike most algorithms, these global inference algorithms do all their computational work +inside of marginal_nodes, not inside of +enter_evidence. + + +

Quickscore

+ +The junction tree algorithm is quite slow on the QMR network, +since the cliques are so big. +One simple trick we can use is to notice that hidden leaves do not +affect the posteriors on the roots, and hence do not need to be +included in the network. +A second trick is to notice that the negative findings can be +"absorbed" into the prior: +see the file +BNT/examples/static/mk_minimal_qmr_bnet for details. +

+ +A much more significant speedup is obtained by exploiting special +properties of the noisy-or node, as done by the quickscore +algorithm. For details, see +

    +
  • Heckerman, "A tractable inference algorithm for diagnosing multiple diseases", UAI 89. +
  • Rish and Dechter, "On the impact of causal independence", UCI +tech report, 1998. +
+ +This has been implemented in BNT as a special-purpose inference +engine, which can be created and used as follows: +
+engine = quickscore_inf_engine(inhibit, leak, prior);
+engine = enter_evidence(engine, pos, neg);
+m = marginal_nodes(engine, i);
+
+ + +

Belief propagation

+ +Even using quickscore, exact inference takes time that is exponential +in the number of positive findings. +Hence for large networks we need to resort to approximate inference techniques. +See for example +
    +
  • T. Jaakkola and M. Jordan, "Variational probabilistic inference and the +QMR-DT network", JAIR 10, 1999. + +
  • K. Murphy, Y. Weiss and M. Jordan, "Loopy belief propagation for approximate inference: an empirical study", + UAI 99. +
+The latter approximation +entails applying Pearl's belief propagation algorithm to a model even +if it has loops (hence the name loopy belief propagation). +Pearl's algorithm, implemented as pearl_inf_engine, gives +exact results when applied to singly-connected graphs +(a.k.a. polytrees, since +the underlying undirected topology is a tree, but a node may have +multiple parents). +To apply this algorithm to a graph with loops, +use pearl_inf_engine. +This can use a centralized or distributed message passing protocol. +You can use it as in the following example. +
+engine = pearl_inf_engine(bnet, 'max_iter', 30);
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, i);
+
+We found that this algorithm often converges, and when it does, often +is very accurate, but it depends on the precise setting of the +parameter values of the network. +(See the file BNT/examples/static/qmr1 to repeat the experiment for yourself.) +Understanding when and why belief propagation converges/ works +is a topic of ongoing research. +

+pearl_inf_engine can exploit special structure in noisy-or +and gmux nodes to compute messages efficiently. +

+belprop_inf_engine is like pearl, but uses potentials to +represent messages. Hence this is slower. +

+belprop_fg_inf_engine is like belprop, +but is designed for factor graphs. + + + +

Sampling

+ +BNT now (Mar '02) has two sampling (Monte Carlo) inference algorithms: + +Note: To generate samples from a network (which is not the same as inference!), +use sample_bnet. + + + +

Summary of inference engines

+ + +The inference engines differ in many ways. Here are +some of the major "axes": +
    +
  • Works for all topologies or makes restrictions? +
  • Works for all node types or makes restrictions? +
  • Exact or approximate inference? +
+ +

+In terms of topology, most engines handle any kind of DAG. +belprop_fg does approximate inference on factor graphs (FG), which +can be used to represent directed, undirected, and mixed (chain) +graphs. +(In the future, we plan to support exact inference on chain graphs.) +quickscore only works on QMR-like models. +

+In terms of node types: algorithms that use potentials can handle +discrete (D), Gaussian (G) or conditional Gaussian (CG) models. +Sampling algorithms can essentially handle any kind of node (distribution). +Other algorithms make more restrictive assumptions in exchange for +speed. +

+Finally, most algorithms are designed to give the exact answer. +The belief propagation algorithms are exact if applied to trees, and +in some other cases. +Sampling is considered approximate, even though, in the limit of an +infinite number of samples, it gives the exact answer. + +

+ +Here is a summary of the properties +of all the engines in BNT which work on static networks. +

+ +
+ + + + + + + + + + + + + + + +
Name +Exact? +Node type? +topology +
belprop + approx + D + DAG +
belprop_fg + approx + D + factor graph +
cond_gauss + exact + CG + DAG +
enumerative + exact + D + DAG +
gaussian + exact + G + DAG +
gibbs + approx + D + DAG +
global_joint + exact + D,G,CG + DAG +
jtree + exact + D,G,CG + DAG +b
likelihood_weighting + approx + any + DAG +
pearl + approx + D,G + DAG +
pearl + exact + D,G + polytree +
quickscore + exact + noisy-or + QMR +
stab_cond_gauss + exact + CG + DAG +
var_elim + exact + D,G,CG + DAG +
+ + + +

Influence diagrams/ decision making

+ +BNT implements an exact algorithm for solving LIMIDs (limited memory +influence diagrams), described in + +LIMIDs explicitely show all information arcs, rather than implicitely +assuming no forgetting. This allows them to model forgetful +controllers. +

+See the examples in BNT/examples/limids for details. + + + + +

DBNs, HMMs, Kalman filters and all that

+ +Click here for documentation about how to +use BNT for dynamical systems and sequence data. + + + diff --git a/sourcecodes/bnt-master/docs/usage_02nov13.html b/sourcecodes/bnt-master/docs/usage_02nov13.html new file mode 100644 index 00000000..a1e24294 --- /dev/null +++ b/sourcecodes/bnt-master/docs/usage_02nov13.html @@ -0,0 +1,3215 @@ + +How to use the Bayes Net Toolbox + + + + + +

How to use the Bayes Net Toolbox

+ +This documentation was last updated on 13 November 2002. +
+Click here for a list of changes made to +BNT. +
+Click +here +for a French version of this documentation (which might not +be up-to-date). + + +

+ +

+ + + + + + +

Installation

+ +

Installing the Matlab code

+ +
    +
  • Download the BNT.zip file. + +

    +

  • Unpack the file. In Unix, type + +"unzip FullBNT.zip". +In Windows, use +a program like Winzip. This will +create a directory called FullBNT, which contains BNT and other libraries. + +

    +

  • Read the file BNT/README to make sure the date +matches the one on the top of the BNT home page. +If not, you may need to press 'refresh' on your browser, and download +again, to get the most recent version. + +

    +

  • Edit the file "BNT/add_BNT_to_path.m" so it contains the correct +pathname. +For example, in Windows, +I download FullBNT.zip into C:\kpmurphy\matlab, and +then comment out the second line (with the % character), and uncomment +the third line, which reads +
    +BNT_HOME = 'C:\kpmurphy\matlab\FullBNT';
    +
    + +

    +

  • Start up Matlab. + +

    +

  • Type "ver" at the Matlab prompt (">>"). +You need Matlab version 5.2 or newer to run BNT. +(Versions 5.0 and 5.1 have a memory leak which seems to sometimes +crash BNT.) + +

    +

  • Move to the BNT directory. +For example, in Windows, I type +
    +>> cd C:\kpmurphy\matlab\FullBNT\BNT
    +
    + +

    +

  • Type "add_BNT_to_path". +This executes the command +addpath(genpath(BNT_HOME)), +which adds all directories below FullBNT to the matlab path. + +

    +

  • Type "test_BNT". + +If all goes well, this will produce a bunch of numbers and maybe some +warning messages (which you can ignore), but no error messages. +(The warnings should only be of the form +"Warning: Maximum number of iterations has been exceeded", and are +produced by Netlab.) + +

    +

  • +Join the BNT email list + +
+ + +If you are new to Matlab, you might like to check out +some useful Matlab tips. +For instance, this explains how to create a startup file, which can be +used to set your path variable automatically, so you can avoid having +to type the above commands every time. + + + + +

Installing the C code

+ +Some BNT functions also have C implementations. +It is not necessary to install the C code, but it can result in a speedup +of a factor of 5-10. +To install all the C code, +edit installC_BNT.m so it contains the right path, +then type installC_BNT. +To uninstall all the C code, +edit uninstallC_BNT.m so it contains the right path, +then type uninstallC_BNT. +For an up-to-date list of the files which have C implementations, see +BNT/installC_BNT.m. + +

+mex is a script that lets you call C code from Matlab - it does not compile matlab to +C (see mcc below). +If your C/C++ compiler is set up correctly, mex should work out of +the box. +If not, you might need to type +

+ mex -setup +

+before calling installC. +

+To make mex call gcc on Windows, +you must install gnumex. +You can use the minimalist GNU for +Windows version of gcc, or +the cygwin version. +

+In general, typing +'mex foo.c' from inside Matlab creates a file called +'foo.mexglx' or 'foo.dll' (the exact file +extension is system dependent - on Linux it is 'mexglx', on Windows it is '.dll'). +The resulting file will hide the original 'foo.m' (if it existed), i.e., +typing 'foo' at the prompt will call the compiled C version. +To reveal the original matlab version, just delete foo.mexglx (this is +what uninstallC does). +

+Sometimes it takes time for Matlab to realize that the file has +changed from matlab to C or vice versa; try typing 'clear all' or +restarting Matlab to refresh it. +To find out which version of a file you are running, type +'which foo'. +

+mcc, the +Matlab to C compiler, is a separate product, +and is quite different from mex. It does not yet support +objects/classes, which is why we can't compile all of BNT to C automatically. +Also, hand-written C code is usually much +better than the C code generated by mcc. + + +

+Acknowledgements: +Although I wrote some of the C code, most of +the C code (e.g., for jtree and dpot) was written by Wei Hu; +the triangulation C code was written by Ilya Shpitser. + + +

Creating your first Bayes net

+ +To define a Bayes net, you must specify the graph structure and then +the parameters. We look at each in turn, using a simple example +(adapted from Russell and +Norvig, "Artificial Intelligence: a Modern Approach", Prentice Hall, +1995, p454). + + +

Graph structure

+ + +Consider the following network. + +

+

+ +
+

+ +

+To specify this directed acyclic graph (dag), we create an adjacency matrix: +

+N = 4; 
+dag = zeros(N,N);
+C = 1; S = 2; R = 3; W = 4;
+dag(C,[R S]) = 1;
+dag(R,W) = 1;
+dag(S,W)=1;
+
+

+We have numbered the nodes as follows: +Cloudy = 1, Sprinkler = 2, Rain = 3, WetGrass = 4. +The nodes must always be numbered in topological order, i.e., +ancestors before descendants. +For a more complicated graph, this is a little inconvenient: we will +see how to get around this below. +

+In Matlab 6, you can use logical arrays instead of double arrays, +which are 4 times smaller: +

+dag = false(N,N);
+dag(C,[R S]) = true;
+...
+
+

+A preliminary attempt to make a GUI +has been writte by Philippe LeRay and can be downloaded +from here. +

+You can visualize the resulting graph structure using +the methods discussed below. + +

Creating the Bayes net shell

+ +In addition to specifying the graph structure, +we must specify the size and type of each node. +If a node is discrete, its size is the +number of possible values +each node can take on; if a node is continuous, +it can be a vector, and its size is the length of this vector. +In this case, we will assume all nodes are discrete and binary. +
+discrete_nodes = 1:N;
+node_sizes = 2*ones(1,N); 
+
+If the nodes were not binary, you could type e.g., +
+node_sizes = [4 2 3 5];
+
+meaning that Cloudy has 4 possible values, +Sprinkler has 2 possible values, etc. +Note that these are cardinal values, not ordinal, i.e., +they are not ordered in any way, like 'low', 'medium', 'high'. +

+We are now ready to make the Bayes net: +

+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes);
+
+By default, all nodes are assumed to be discrete, so we can also just +write +
+bnet = mk_bnet(dag, node_sizes);
+
+You may also specify which nodes will be observed. +If you don't know, or if this not fixed in advance, +just use the empty list (the default). +
+onodes = [];
+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes, 'observed', onodes);
+
+Note that optional arguments are specified using a name/value syntax. +This is common for many BNT functions. +In general, to find out more about a function (e.g., which optional +arguments it takes), please see its +documentation string by typing +
+help mk_bnet
+
+See also other useful Matlab tips. +

+It is possible to associate names with nodes, as follows: +

+bnet = mk_bnet(dag, node_sizes, 'names', {'cloudy','S','R','W'}, 'discrete', 1:4);
+
+You can then refer to a node by its name: +
+C = bnet.names{'cloudy'}; % bnet.names is an associative array
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+
+ + +

Parameters

+ +A model consists of the graph structure and the parameters. +The parameters are represented by CPD objects (CPD = Conditional +Probability Distribution), which define the probability distribution +of a node given its parents. +(We will use the terms "node" and "random variable" interchangeably.) +The simplest kind of CPD is a table (multi-dimensional array), which +is suitable when all the nodes are discrete-valued. Note that the discrete +values are not assumed to be ordered in any way; that is, they +represent categorical quantities, like male and female, rather than +ordinal quantities, like low, medium and high. +(We will discuss CPDs in more detail below.) +

+Tabular CPDs, also called CPTs (conditional probability tables), +are stored as multidimensional arrays, where the dimensions +are arranged in the same order as the nodes, e.g., the CPT for node 4 +(WetGrass) is indexed by Sprinkler (2), Rain (3) and then WetGrass (4) itself. +Hence the child is always the last dimension. +If a node has no parents, its CPT is a column vector representing its +prior. +Note that in Matlab (unlike C), arrays are indexed +from 1, and are layed out in memory such that the first index toggles +fastest, e.g., the CPT for node 4 (WetGrass) is as follows +

+

+

+where we have used the convention that false==1, true==2. +We can create this CPT in Matlab as follows +

+CPT = zeros(2,2,2);
+CPT(1,1,1) = 1.0;
+CPT(2,1,1) = 0.1;
+...
+
+Here is an easier way: +
+CPT = reshape([1 0.1 0.1 0.01 0 0.9 0.9 0.99], [2 2 2]);
+
+In fact, we don't need to reshape the array, since the CPD constructor +will do that for us. So we can just write +
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+The other nodes are created similarly (using the old syntax for +optional parameters) +
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+bnet.CPD{R} = tabular_CPD(bnet, R, [0.8 0.2 0.2 0.8]);
+bnet.CPD{S} = tabular_CPD(bnet, S, [0.5 0.9 0.5 0.1]);
+bnet.CPD{W} = tabular_CPD(bnet, W, [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+ + +

Random Parameters

+ +If we do not specify the CPT, random parameters will be +created, i.e., each "row" of the CPT will be drawn from the uniform distribution. +To ensure repeatable results, use +
+rand('state', seed);
+randn('state', seed);
+
+To control the degree of randomness (entropy), +you can sample each row of the CPT from a Dirichlet(p,p,...) distribution. +If p << 1, this encourages "deterministic" CPTs (one entry near 1, the rest near 0). +If p = 1, each entry is drawn from U[0,1]. +If p >> 1, the entries will all be near 1/k, where k is the arity of +this node, i.e., each row will be nearly uniform. +You can do this as follows, assuming this node +is number i, and ns is the node_sizes. +
+k = ns(i);
+ps = parents(dag, i);
+psz = prod(ns(ps));
+CPT = sample_dirichlet(p*ones(1,k), psz);
+bnet.CPD{i} = tabular_CPD(bnet, i, 'CPT', CPT);
+
+ + +

Loading a network from a file

+ +If you already have a Bayes net represented in the XML-based + +Bayes Net Interchange Format (BNIF) (e.g., downloaded from the + +Bayes Net repository), +you can convert it to BNT format using +the +BIF-BNT Java +program written by Ken Shan. +(This is not necessarily up-to-date.) + + +

Creating a model using a GUI

+ +Click here. + + + +

Inference

+ +Having created the BN, we can now use it for inference. +There are many different algorithms for doing inference in Bayes nets, +that make different tradeoffs between speed, +complexity, generality, and accuracy. +BNT therefore offers a variety of different inference +"engines". We will discuss these +in more detail below. +For now, we will use the junction tree +engine, which is the mother of all exact inference algorithms. +This can be created as follows. +
+engine = jtree_inf_engine(bnet);
+
+The other engines have similar constructors, but might take +additional, algorithm-specific parameters. +All engines are used in the same way, once they have been created. +We illustrate this in the following sections. + + +

Computing marginal distributions

+ +Suppose we want to compute the probability that the sprinker was on +given that the grass is wet. +The evidence consists of the fact that W=2. All the other nodes +are hidden (unobserved). We can specify this as follows. +
+evidence = cell(1,N);
+evidence{W} = 2;
+
+We use a 1D cell array instead of a vector to +cope with the fact that nodes can be vectors of different lengths. +In addition, the value [] can be used +to denote 'no evidence', instead of having to specify the observation +pattern as a separate argument. +(Click
here for a quick tutorial on cell +arrays in matlab.) +

+We are now ready to add the evidence to the engine. +

+[engine, loglik] = enter_evidence(engine, evidence);
+
+The behavior of this function is algorithm-specific, and is discussed +in more detail below. +In the case of the jtree engine, +enter_evidence implements a two-pass message-passing scheme. +The first return argument contains the modified engine, which +incorporates the evidence. The second return argument contains the +log-likelihood of the evidence. (Not all engines are capable of +computing the log-likelihood.) +

+Finally, we can compute p=P(S=2|W=2) as follows. +

+marg = marginal_nodes(engine, S);
+marg.T
+ans =
+      0.57024
+      0.42976
+p = marg.T(2);
+
+We see that p = 0.4298. +

+Now let us add the evidence that it was raining, and see what +difference it makes. +

+evidence{R} = 2;
+[engine, loglik] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, S);
+p = marg.T(2);
+
+We find that p = P(S=2|W=2,R=2) = 0.1945, +which is lower than +before, because the rain can ``explain away'' the +fact that the grass is wet. +

+You can plot a marginal distribution over a discrete variable +as a barchart using the built 'bar' function: +

+bar(marg.T)
+
+This is what it looks like + +

+

+ +
+

+ +

Observed nodes

+ +What happens if we ask for the marginal on an observed node, e.g. P(W|W=2)? +An observed discrete node effectively only has 1 value (the observed + one) --- all other values would result in 0 probability. +For efficiency, BNT treats observed (discrete) nodes as if they were + set to 1, as we see below: +
+evidence = cell(1,N);
+evidence{W} = 2;
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, W);
+m.T
+ans =
+     1
+
+This can get a little confusing, since we assigned W=2. +So we can ask BNT to add the evidence back in by passing in an optional argument: +
+m = marginal_nodes(engine, W, 1);
+m.T
+ans =
+     0
+     1
+
+This shows that P(W=1|W=2) = 0 and P(W=2|W=2) = 1. + + + +

Computing joint distributions

+ +We can compute the joint probability on a set of nodes as in the +following example. +
+evidence = cell(1,N);
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W]);
+
+m is a structure. The 'T' field is a multi-dimensional array (in +this case, 3-dimensional) that contains the joint probability +distribution on the specified nodes. +
+>> m.T
+ans(:,:,1) =
+    0.2900    0.0410
+    0.0210    0.0009
+ans(:,:,2) =
+         0    0.3690
+    0.1890    0.0891
+
+We see that P(S=1,R=1,W=2) = 0, since it is impossible for the grass +to be wet if both the rain and sprinkler are off. +

+Let us now add some evidence to R. +

+evidence{R} = 2;
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W])
+m = 
+    domain: [2 3 4]
+         T: [2x1x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+    0.0820
+    0.0018
+ans(:,:,2) =
+    0.7380
+    0.1782
+
+The joint T(i,j,k) = P(S=i,R=j,W=k|evidence) +should have T(i,1,k) = 0 for all i,k, since R=1 is incompatible +with the evidence that R=2. +Instead of creating large tables with many 0s, BNT sets the effective +size of observed (discrete) nodes to 1, as explained above. +This is why m.T has size 2x1x2. +To get a 2x2x2 table, type +
+m = marginal_nodes(engine, [S R W], 1)
+m = 
+    domain: [2 3 4]
+         T: [2x2x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+            0        0.082
+            0       0.0018
+ans(:,:,2) =
+            0        0.738
+            0       0.1782
+
+ +

+Note: It is not always possible to compute the joint on arbitrary +sets of nodes: it depends on which inference engine you use, as discussed +in more detail below. + + +

Soft/virtual evidence

+ +Sometimes a node is not observed, but we have some distribution over +its possible values; this is often called "soft" or "virtual" +evidence. +One can use this as follows +
+[engine, loglik] = enter_evidence(engine, evidence, 'soft', soft_evidence);
+
+where soft_evidence{i} is either [] (if node i has no soft evidence) +or is a vector representing the probability distribution over i's +possible values. +For example, if we don't know i's exact value, but we know its +likelihood ratio is 60/40, we can write evidence{i} = [] and +soft_evidence{i} = [0.6 0.4]. +

+Currently only jtree_inf_engine supports this option. +It assumes that all hidden nodes, and all nodes for +which we have soft evidence, are discrete. +For a longer example, see BNT/examples/static/softev1.m. + + +

Most probable explanation

+ +To compute the most probable explanation (MPE) of the evidence (i.e., +the most probable assignment, or a mode of the joint), use +
+[mpe, ll] = calc_mpe(engine, evidence);     
+
+mpe{i} is the most likely value of node i. +This calls enter_evidence with the 'maximize' flag set to 1, which +causes the engine to do max-product instead of sum-product. +The resulting max-marginals are then thresholded. +If there is more than one maximum probability assignment, we must take + care to break ties in a consistent manner (thresholding the + max-marginals may give the wrong result). To force this behavior, + type +
+[mpe, ll] = calc_mpe(engine, evidence, 1);     
+
+Note that computing the MPE is someties called abductive reasoning. + +

+You can also use calc_mpe_bucket written by Ron Zohar, +that does a forwards max-product pass, and then a backwards traceback +pass, which is how Viterbi is traditionally implemented. + + + +

Conditional Probability Distributions

+ +A Conditional Probability Distributions (CPD) +defines P(X(i) | X(Pa(i))), where X(i) is the i'th node, and X(Pa(i)) +are the parents of node i. There are many ways to represent this +distribution, which depend in part on whether X(i) and X(Pa(i)) are +discrete, continuous, or a combination. +We will discuss various representations below. + + +

Tabular nodes

+ +If the CPD is represented as a table (i.e., if it is a multinomial +distribution), it has a number of parameters that is exponential in +the number of parents. See the example above. + + +

Noisy-or nodes

+ +A noisy-OR node is like a regular logical OR gate except that +sometimes the effects of parents that are on get inhibited. +Let the prob. that parent i gets inhibited be q(i). +Then a node, C, with 2 parents, A and B, has the following CPD, where +we use F and T to represent off and on (1 and 2 in BNT). +
+A  B  P(C=off)      P(C=on)
+---------------------------
+F  F  1.0           0.0
+T  F  q(A)          1-q(A)
+F  T  q(B)          1-q(B)
+T  T  q(A)q(B)      q-q(A)q(B)
+
+Thus we see that the causes get inhibited independently. +It is common to associate a "leak" node with a noisy-or CPD, which is +like a parent that is always on. This can account for all other unmodelled +causes which might turn the node on. +

+The noisy-or distribution is similar to the logistic distribution. +To see this, let the nodes, S(i), have values in {0,1}, and let q(i,j) +be the prob. that j inhibits i. Then +

+Pr(S(i)=1 | parents(S(i))) = 1 - prod_{j} q(i,j)^S(j)
+
+Now define w(i,j) = -ln q(i,j) and rho(x) = 1-exp(-x). Then +
+Pr(S(i)=1 | parents(S(i))) = rho(sum_j w(i,j) S(j))
+
+For a sigmoid node, we have +
+Pr(S(i)=1 | parents(S(i))) = sigma(-sum_j w(i,j) S(j))
+
+where sigma(x) = 1/(1+exp(-x)). Hence they differ in the choice of +the activation function (although both are monotonically increasing). +In addition, in the case of a noisy-or, the weights are constrained to be +positive, since they derive from probabilities q(i,j). +In both cases, the number of parameters is linear in the +number of parents, unlike the case of a multinomial distribution, +where the number of parameters is exponential in the number of parents. +We will see an example of noisy-OR nodes
below. + + +

Other (noisy) deterministic nodes

+ +Deterministic CPDs for discrete random variables can be created using +the deterministic_CPD class. It is also possible to 'flip' the output +of the function with some probability, to simulate noise. +The boolean_CPD class is just a special case of a +deterministic CPD, where the parents and child are all binary. +

+Both of these classes are just "syntactic sugar" for the tabular_CPD +class. + + + +

Softmax nodes

+ +If we have a discrete node with a continuous parent, +we can define its CPD using a softmax function +(also known as the multinomial logit function). +This acts like a soft thresholding operator, and is defined as follows: +
+                    exp(w(:,i)'*x + b(i)) 
+Pr(Q=i | X=x)  =  -----------------------------
+                  sum_j   exp(w(:,j)'*x + b(j))
+
+
+The parameters of a softmax node, w(:,i) and b(i), i=1..|Q|, have the +following interpretation: w(:,i)-w(:,j) is the normal vector to the +decision boundary between classes i and j, +and b(i)-b(j) is its offset (bias). For example, suppose +X is a 2-vector, and Q is binary. Then +
+w = [1 -1;
+     0 0];
+
+b = [0 0];
+
+means class 1 are points in the 2D plane with positive x coordinate, +and class 2 are points in the 2D plane with negative x coordinate. +If w has large magnitude, the decision boundary is sharp, otherwise it +is soft. +In the special case that Q is binary (0/1), the softmax function reduces to the logistic +(sigmoid) function. +

+Fitting a softmax function can be done using the iteratively reweighted +least squares (IRLS) algorithm. +We use the implementation from +Netlab. +Note that since +the softmax distribution is not in the exponential family, it does not +have finite sufficient statistics, and hence we must store all the +training data in uncompressed form. +If this takes too much space, one should use online (stochastic) gradient +descent (not implemented in BNT). +

+If a softmax node also has discrete parents, +we use a different set of w/b parameters for each combination of +parent values, as in the conditional linear +Gaussian CPD. +This feature was implemented by Pierpaolo Brutti. +He is currently extending it so that discrete parents can be treated +as if they were continuous, by adding indicator variables to the X +vector. +

+We will see an example of softmax nodes below. + + +

Neural network nodes

+ +Pierpaolo Brutti has implemented the mlp_CPD class, which uses a multi layer perceptron +to implement a mapping from continuous parents to discrete children, +similar to the softmax function. +(If there are also discrete parents, it creates a mixture of MLPs.) +It uses code from Netlab. +This is work in progress. + +

Root nodes

+ +A root node has no parents and no parameters; it can be used to model +an observed, exogeneous input variable, i.e., one which is "outside" +the model. +This is useful for conditional density models. +We will see an example of root nodes below. + + +

Gaussian nodes

+ +We now consider a distribution suitable for the continuous-valued nodes. +Suppose the node is called Y, its continuous parents (if any) are +called X, and its discrete parents (if any) are called Q. +The distribution on Y is defined as follows: +
+- no parents: Y ~ N(mu, Sigma)
+- cts parents : Y|X=x ~ N(mu + W x, Sigma)
+- discrete parents: Y|Q=i ~ N(mu(:,i), Sigma(:,:,i))
+- cts and discrete parents: Y|X=x,Q=i ~ N(mu(:,i) + W(:,:,i) * x, Sigma(:,:,i))
+
+where N(mu, Sigma) denotes a Normal distribution with mean mu and +covariance Sigma. Let |X|, |Y| and |Q| denote the sizes of X, Y and Q +respectively. +If there are no discrete parents, |Q|=1; if there is +more than one, then |Q| = a vector of the sizes of each discrete parent. +If there are no continuous parents, |X|=0; if there is more than one, +then |X| = the sum of their sizes. +Then mu is a |Y|*|Q| vector, Sigma is a |Y|*|Y|*|Q| positive +semi-definite matrix, and W is a |Y|*|X|*|Q| regression (weight) +matrix. +

+We can create a Gaussian node with random parameters as follows. +

+bnet.CPD{i} = gaussian_CPD(bnet, i);
+
+We can specify the value of one or more of the parameters as in the +following example, in which |Y|=2, and |Q|=1. +
+bnet.CPD{i} = gaussian_CPD(bnet, i, 'mean', [0; 0], 'weights', randn(Y,X), 'cov', eye(Y));
+
+

+We will see an example of conditional linear Gaussian nodes below. +

+When learning Gaussians from data, it is helpful to ensure the +data has a small magnitde +(see e.g., KPMstats/standardize) to prevent numerical problems. +Unless you have a lot of data, it is also a very good idea to use +diagonal instead of full covariance matrices. +(BNT does not currently support spherical covariances, although it +would be easy to add, since KPMstats/clg_Mstep supports this option; +you would just need to modify gaussian_CPD/update_ess to accumulate +weighted inner products.) + + + +

Other continuous distributions

+ +Currently BNT does not support any CPDs for continuous nodes other +than the Gaussian. +However, you can use a mixture of Gaussians to +approximate other continuous distributions. We will see some an example +of this with the IFA model below. + + +

Generalized linear model nodes

+ +In the future, we may incorporate some of the functionality of +glmlab +into BNT. + + +

Classification/regression tree nodes

+ +We plan to add classification and regression trees to define CPDs for +discrete and continuous nodes, respectively. +Trees have many advantages: they are easy to interpret, they can do +feature selection, they can +handle discrete and continuous inputs, they do not make strong +assumptions about the form of the distribution, the number of +parameters can grow in a data-dependent way (i.e., they are +semi-parametric), they can handle missing data, etc. +However, they are not yet implemented. + + + +

Summary of CPD types

+ +We list all the different types of CPDs supported by BNT. +For each CPD, we specify if the child and parents can be discrete (D) or +continuous (C) (Binary (B) nodes are a special case). +We also specify which methods each class supports. +If a method is inherited, the name of the parent class is mentioned. +If a parent class calls a child method, this is mentioned. +

+The CPD_to_CPT method converts a CPD to a table; this +requires that the child and all parents are discrete. +The CPT might be exponentially big... +convert_to_table evaluates a CPD with evidence, and +represents the the resulting potential as an array. +This requires that the child is discrete, and any continuous parents +are observed. +convert_to_pot evaluates a CPD with evidence, and +represents the resulting potential as a dpot, gpot, cgpot or upot, as +requested. (d=discrete, g=Gaussian, cg = conditional Gaussian, u = +utility). + +

+When we sample a node, all the parents are observed. +When we compute the (log) probability of a node, all the parents and +the child are observed. +

+We also specify if the parameters are learnable. +For learning with EM, we require +the methods reset_ess, update_ess and +maximize_params. +For learning from fully observed data, we require +the method learn_params. +By default, all classes inherit this from generic_CPD, which simply +calls update_ess N times, once for each data case, followed +by maximize_params, i.e., it is like EM, without the E step. +Some classes implement a batch formula, which is quicker. +

+Bayesian learning means computing a posterior over the parameters +given fully observed data. +

+Pearl means we implement the methods compute_pi and +compute_lambda_msg, used by +pearl_inf_engine, which runs on directed graphs. +belprop_inf_engine only needs convert_to_pot.H +The pearl methods can exploit special properties of the CPDs for +computing the messages efficiently, whereas belprop does not. +

+The only method implemented by generic_CPD is adjustable_CPD, +which is not shown, since it is not very interesting. + + +

+ + + +
+ + + + + + + + + + + + +
Name +Child +Parents +Comments +CPD_to_CPT +conv_to_table +conv_to_pot +sample +prob +learn +Bayes +Pearl + + +
+ + + + + + + + + + + + +
boolean +B +B +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
deterministic +D +D +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
Discrete +D +C/D +Virtual class +N +Calls CPD_to_CPT +Calls conv_to_table +Calls conv_to_table +Calls conv_to_table +N +N +N + +
Gaussian +C +C/D +- +N +N +Y +Y +Y +Y +N +N + +
gmux +C +C/D +multiplexer +N +N +Y +N +N +N +N +Y + + +
MLP +D +C/D +multi layer perceptron +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
noisy-or +B +B +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +N +N +Y + + +
root +C/D +none +no params +N +N +Y +Y +Y +N +N +N + + +
softmax +D +C/D +- +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
generic +C/D +C/D +Virtual class +N +N +N +N +N +N +N +N + + +
Tabular +D +D +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +Y +Y + +
+ + + +

Example models

+ + +

Gaussian mixture models

+ +Richard W. DeVaul has made a detailed tutorial on how to fit mixtures +of Gaussians using BNT. Available +
here. + + +

PCA, ICA, and all that

+ +In Figure (a) below, we show how Factor Analysis can be thought of as a +graphical model. Here, X has an N(0,I) prior, and +Y|X=x ~ N(mu + Wx, Psi), +where Psi is diagonal and W is called the "factor loading matrix". +Since the noise on both X and Y is diagonal, the components of these +vectors are uncorrelated, and hence can be represented as individual +scalar nodes, as we show in (b). +(This is useful if parts of the observations on the Y vector are occasionally missing.) +We usually take k=|X| << |Y|=D, so the model tries to explain +many observations using a low-dimensional subspace. + + +
+ + + +
+ + + +
(a) + (b) + (c) + (d) +
+
+ +

+We can create this model in BNT as follows. +

+ns = [k D];
+dag = zeros(2,2);
+dag(1,2) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', []);
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', zeros(k,1), 'cov', eye(k), ...
+   'cov_type', 'diag', 'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(D,1), 'cov', diag(Psi0), 'weights', W0, ...
+   'cov_type', 'diag', 'clamp_mean', 1);
+
+ +The root node is clamped to the N(0,I) distribution, so that we will +not update these parameters during learning. +The mean of the leaf node is clamped to 0, +since we assume the data has been centered (had its mean subtracted +off); this is just for simplicity. +Finally, the covariance of the leaf node is constrained to be +diagonal. W0 and Psi0 are the initial parameter guesses. + +

+We can fit this model (i.e., estimate its parameters in a maximum +likelihood (ML) sense) using EM, as we +explain below. +Not surprisingly, the ML estimates for mu and Psi turn out to be +identical to the +sample mean and variance, which can be computed directly as +

+mu_ML = mean(data);
+Psi_ML = diag(cov(data));
+
+Note that W can only be identified up to a rotation matrix, because of +the spherical symmetry of the source. + +

+If we restrict Psi to be spherical, i.e., Psi = sigma*I, +there is a closed-form solution for W as well, +i.e., we do not need to use EM. +In particular, W contains the first |X| eigenvectors of the sample covariance +matrix, with scalings determined by the eigenvalues and sigma. +Classical PCA can be obtained by taking the sigma->0 limit. +For details, see + +

+ +

+By adding a hidden discrete variable, we can create mixtures of FA +models, as shown in (c). +Now we can explain the data using a set of subspaces. +We can create this model in BNT as follows. +

+ns = [M k D];
+dag = zeros(3);
+dag(1,3) = 1;
+dag(2,3) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', 1);
+bnet.CPD{1} = tabular_CPD(bnet, 1, Pi0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(k, 1), 'cov', eye(k), 'cov_type', 'diag', ...
+			   'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', Mu0', 'cov', repmat(diag(Psi0), [1 1 M]), ...
+			   'weights', W0, 'cov_type', 'diag', 'tied_cov', 1);
+
+Notice how the covariance matrix for Y is the same for all values of +Q; that is, the noise level in each sub-space is assumed the same. +However, we allow the offset, mu, to vary. +For details, see + + +

+I have included Zoubin's specialized MFA code (with his permission) +with the toolbox, so you can check that BNT gives the same results: +see 'BNT/examples/static/mfa1.m'. + +

+Independent Factor Analysis (IFA) generalizes FA by allowing a +non-Gaussian prior on each component of X. +(Note that we can approximate a non-Gaussian prior using a mixture of +Gaussians.) +This means that the likelihood function is no longer rotationally +invariant, so we can uniquely identify W and the hidden +sources X. +IFA also allows a non-diagonal Psi (i.e. correlations between the components of Y). +We recover classical Independent Components Analysis (ICA) +in the Psi -> 0 limit, and by assuming that |X|=|Y|, so that the +weight matrix W is square and invertible. +For details, see +

+ + + +

Mixtures of experts

+ +As an example of the use of the softmax function, +we introduce the Mixture of Experts model. + +As before, +circles denote continuous-valued nodes, +squares denote discrete nodes, clear +means hidden, and shaded means observed. +

+

+ + +
+ +
+
+

+X is the observed +input, Y is the output, and +the Q nodes are hidden "gating" nodes, which select the appropriate +set of parameters for Y. During training, Y is assumed observed, +but for testing, the goal is to predict Y given X. +Note that this is a conditional density model, so we don't +associate any parameters with X. +Hence X's CPD will be a root CPD, which is a way of modelling +exogenous nodes. +If the output is a continuous-valued quantity, +we assume the "experts" are linear-regression units, +and set Y's CPD to linear-Gaussian. +If the output is discrete, we set Y's CPD to a softmax function. +The Q CPDs will always be softmax functions. + +

+As a concrete example, consider the mixture of experts model where X and Y are +scalars, and Q is binary. +This is just piecewise linear regression, where +we have two line segments, i.e., +

+ +

+We can create this model with random parameters as follows. +(This code is bundled in BNT/examples/static/mixexp2.m.) +

+X = 1;
+Q = 2;
+Y = 3;
+dag = zeros(3,3);
+dag(X,[Q Y]) = 1
+dag(Q,Y) = 1;
+ns = [1 2 1]; % make X and Y scalars, and have 2 experts
+onodes = [1 3];
+bnet = mk_bnet(dag, ns, 'discrete', 2, 'observed', onodes);
+
+rand('state', 0);
+randn('state', 0);
+bnet.CPD{1} = root_CPD(bnet, 1);
+bnet.CPD{2} = softmax_CPD(bnet, 2);
+bnet.CPD{3} = gaussian_CPD(bnet, 3);
+
+Now let us fit this model using
EM. +First we load the data (1000 training cases) and plot them. +

+

+data = load('/examples/static/Misc/mixexp_data.txt', '-ascii');        
+plot(data(:,1), data(:,2), '.');
+
+

+

+ +
+

+This is what the model looks like before training. +(Thanks to Thomas Hofman for writing this plotting routine.) +

+

+ +
+

+Now let's train the model, and plot the final performance. +(We will discuss how to train models in more detail below.) +

+

+ncases = size(data, 1); % each row of data is a training case
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data'); % each column of cases is a training case
+engine = jtree_inf_engine(bnet);
+max_iter = 20;
+[bnet2, LLtrace] = learn_params_em(engine, cases, max_iter);
+
+(We specify which nodes will be observed when we create the engine. +Hence BNT knows that the hidden nodes are all discrete. +For complex models, this can lead to a significant speedup.) +Below we show what the model looks like after 16 iterations of EM +(with 100 IRLS iterations per M step), when it converged +using the default convergence tolerance (that the +fractional change in the log-likelihood be less than 1e-3). +Before learning, the log-likelihood was +-322.927442; afterwards, it was -13.728778. +

+

+ +
+(See BNT/examples/static/mixexp2.m for details of the code.) + + + +

Hierarchical mixtures of experts

+ +A hierarchical mixture of experts (HME) extends the mixture of experts +model by having more than one hidden node. A two-level example is shown below, along +with its more traditional representation as a neural network. +This is like a (balanced) probabilistic decision tree of height 2. +

+

+ +
+

+Pierpaolo Brutti +has written an extensive set of routines for HMEs, +which are bundled with BNT: see the examples/static/HME directory. +These routines allow you to choose the number of hidden (gating) +layers, and the form of the experts (softmax or MLP). +See the file hmemenu, which provides a demo. +For example, the figure below shows the decision boundaries learned +for a ternary classification problem, using a 2 level HME with softmax +gates and softmax experts; the training set is on the left, the +testing set on the right. +

+

+ + +
+

+ + +

+For more details, see the following: +

+ + +

QMR

+ +Bayes nets originally arose out of an attempt to add probabilities to +expert systems, and this is still the most common use for BNs. +A famous example is +QMR-DT, a decision-theoretic reformulation of the Quick Medical +Reference (QMR) model. +

+

+ +
+Here, the top layer represents hidden disease nodes, and the bottom +layer represents observed symptom nodes. +The goal is to infer the posterior probability of each disease given +all the symptoms (which can be present, absent or unknown). +Each node in the top layer has a Bernoulli prior (with a low prior +probability that the disease is present). +Since each node in the bottom layer has a high fan-in, we use a +noisy-OR parameterization; each disease has an independent chance of +causing each symptom. +The real QMR-DT model is copyright, but +we can create a random QMR-like model as follows. +
+function bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+% MK_QMR_BNET Make a QMR model
+% bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+%
+% G(i,j) = 1 iff there is an arc from disease i to finding j
+% inhibit(i,j) = inhibition probability on i->j arc
+% leak(j) = inhibition prob. on leak->j arc
+% prior(i) = prob. disease i is on
+
+[Ndiseases Nfindings] = size(inhibit);
+N = Ndiseases + Nfindings;
+finding_node = Ndiseases+1:N;
+ns = 2*ones(1,N);
+dag = zeros(N,N);
+dag(1:Ndiseases, finding_node) = G;
+bnet = mk_bnet(dag, ns, 'observed', finding_node);
+
+for d=1:Ndiseases
+  CPT = [1-prior(d) prior(d)];
+  bnet.CPD{d} = tabular_CPD(bnet, d, CPT');
+end
+
+for i=1:Nfindings
+  fnode = finding_node(i);
+  ps = parents(G, i);
+  bnet.CPD{fnode} = noisyor_CPD(bnet, fnode, leak(i), inhibit(ps, i));
+end
+
+In the file BNT/examples/static/qmr1, we create a random bipartite +graph G, with 5 diseases and 10 findings, and random parameters. +(In general, to create a random dag, use 'mk_random_dag'.) +We can visualize the resulting graph structure using +the methods discussed
below, with the +following results: +

+ + +

+Now let us put some random evidence on all the leaves except the very +first and very last, and compute the disease posteriors. +

+pos = 2:floor(Nfindings/2);
+neg = (pos(end)+1):(Nfindings-1);
+onodes = myunion(pos, neg);
+evidence = cell(1, N);
+evidence(findings(pos)) = num2cell(repmat(2, 1, length(pos)));
+evidence(findings(neg)) = num2cell(repmat(1, 1, length(neg)));
+
+engine = jtree_inf_engine(bnet);
+[engine, ll] = enter_evidence(engine, evidence);
+post = zeros(1, Ndiseases);
+for i=diseases(:)'
+  m = marginal_nodes(engine, i);
+  post(i) = m.T(2);
+end
+
+Junction tree can be quite slow on large QMR models. +Fortunately, it is possible to exploit properties of the noisy-OR +function to speed up exact inference using an algorithm called +quickscore, discussed below. + + + + + +

Conditional Gaussian models

+ +A conditional Gaussian model is one in which, conditioned on all the discrete +nodes, the distribution over the remaining (continuous) nodes is +multivariate Gaussian. This means we can have arcs from discrete (D) +to continuous (C) nodes, but not vice versa. +(We are allowed C->D arcs if the continuous nodes are observed, +as in the mixture of experts model, +since this distribution can be represented with a discrete potential.) +

+We now give an example of a CG model, from +the paper "Propagation of Probabilities, Means amd +Variances in Mixed Graphical Association Models", Steffen Lauritzen, +JASA 87(420):1098--1108, 1992 (reprinted in the book "Probabilistic Networks and Expert +Systems", R. G. Cowell, A. P. Dawid, S. L. Lauritzen and +D. J. Spiegelhalter, Springer, 1999.) + +

Specifying the graph

+ +Consider the model of waste emissions from an incinerator plant shown below. +We follow the standard convention that shaded nodes are observed, +clear nodes are hidden. +We also use the non-standard convention that +square nodes are discrete (tabular) and round nodes are +Gaussian. + +

+

+ +
+

+ +We can create this model as follows. +

+F = 1; W = 2; E = 3; B = 4; C = 5; D = 6; Min = 7; Mout = 8; L = 9;
+n = 9;
+
+dag = zeros(n);
+dag(F,E)=1;
+dag(W,[E Min D]) = 1;
+dag(E,D)=1;
+dag(B,[C D])=1;
+dag(D,[L Mout])=1;
+dag(Min,Mout)=1;
+
+% node sizes - all cts nodes are scalar, all discrete nodes are binary
+ns = ones(1, n);
+dnodes = [F W B];
+cnodes = mysetdiff(1:n, dnodes);
+ns(dnodes) = 2;
+
+bnet = mk_bnet(dag, ns, 'discrete', dnodes);
+
+'dnodes' is a list of the discrete nodes; 'cnodes' is the continuous +nodes. 'mysetdiff' is a faster version of the built-in 'setdiff'. +

+ + +

Specifying the parameters

+ +The parameters of the discrete nodes can be specified as follows. +
+bnet.CPD{B} = tabular_CPD(bnet, B, 'CPT', [0.85 0.15]); % 1=stable, 2=unstable
+bnet.CPD{F} = tabular_CPD(bnet, F, 'CPT', [0.95 0.05]); % 1=intact, 2=defect
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [2/7 5/7]); % 1=industrial, 2=household
+
+ +

+The parameters of the continuous nodes can be specified as follows. +

+bnet.CPD{E} = gaussian_CPD(bnet, E, 'mean', [-3.9 -0.4 -3.2 -0.5], ...
+			   'cov', [0.00002 0.0001 0.00002 0.0001]);
+bnet.CPD{D} = gaussian_CPD(bnet, D, 'mean', [6.5 6.0 7.5 7.0], ...
+			   'cov', [0.03 0.04 0.1 0.1], 'weights', [1 1 1 1]);
+bnet.CPD{C} = gaussian_CPD(bnet, C, 'mean', [-2 -1], 'cov', [0.1 0.3]);
+bnet.CPD{L} = gaussian_CPD(bnet, L, 'mean', 3, 'cov', 0.25, 'weights', -0.5);
+bnet.CPD{Min} = gaussian_CPD(bnet, Min, 'mean', [0.5 -0.5], 'cov', [0.01 0.005]);
+bnet.CPD{Mout} = gaussian_CPD(bnet, Mout, 'mean', 0, 'cov', 0.002, 'weights', [1 1]);
+
+ + +

Inference

+ + +First we compute the unconditional marginals. +
+engine = jtree_inf_engine(bnet);
+evidence = cell(1,n);
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, E);
+
+ +'marg' is a structure that contains the fields 'mu' and 'Sigma', which +contain the mean and (co)variance of the marginal on E. +In this case, they are both scalars. +Let us check they match the published figures (to 2 decimal places). + +
+tol = 1e-2;
+assert(approxeq(marg.mu, -3.25, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.709, tol));
+
+We can compute the other posteriors similarly. +Now let us add some evidence. +
+evidence = cell(1,n);
+evidence{W} = 1; % industrial
+evidence{L} = 1.1;
+evidence{C} = -0.9;
+[engine, ll] = enter_evidence(engine, evidence);
+
+Now we find +
+marg = marginal_nodes(engine, E);
+assert(approxeq(marg.mu, -3.8983, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.0763, tol));
+
+ + +We can also compute the joint probability on a set of nodes. +For example, P(D, Mout | evidence) is a 2D Gaussian: +
+marg = marginal_nodes(engine, [D Mout])
+marg = 
+    domain: [6 8]
+        mu: [2x1 double]
+     Sigma: [2x2 double]
+         T: 1.0000
+
+The mean is +
+marg.mu
+ans =
+    3.6077
+    4.1077
+
+and the covariance matrix is +
+marg.Sigma
+ans =
+    0.1062    0.1062
+    0.1062    0.1182
+
+It is easy to visualize this posterior using standard Matlab plotting +functions, e.g., +
+gaussplot2d(marg.mu, marg.Sigma);
+
+produces the following picture. + +

+

+ +
+

+ + +The T field indicates that the mixing weight of this Gaussian +component is 1.0. +If the joint contains discrete and continuous variables, the result +will be a mixture of Gaussians, e.g., +

+marg = marginal_nodes(engine, [F E])
+    domain: [1 3]
+        mu: [-3.9000 -0.4003]
+     Sigma: [1x1x2 double]
+         T: [0.9995 4.7373e-04]
+
+The interpretation is +Sigma(i,j,k) = Cov[ E(i) E(j) | F=k ]. +In this case, E is a scalar, so i=j=1; k specifies the mixture component. +

+We saw in the sprinkler network that BNT sets the effective size of +observed discrete nodes to 1, since they only have one legal value. +For continuous nodes, BNT sets their length to 0, +since they have been reduced to a point. +For example, +

+marg = marginal_nodes(engine, [B C])
+    domain: [4 5]
+        mu: []
+     Sigma: []
+         T: [0.0123 0.9877]
+
+It is simple to post-process the output of marginal_nodes. +For example, the file BNT/examples/static/cg1 sets the mu term of +observed nodes to their observed value, and the Sigma term to 0 (since +observed nodes have no variance). + +

+Note that the implemented version of the junction tree is numerically +unstable when using CG potentials +(which is why, in the example above, we only required our answers to agree with +the published ones to 2dp.) +This is why you might want to use stab_cond_gauss_inf_engine, +implemented by Shan Huang. This is described in + +

    +
  • "Stable Local Computation with Conditional Gaussian Distributions", +S. Lauritzen and F. Jensen, Tech Report R-99-2014, +Dept. Math. Sciences, Allborg Univ., 1999. +
+ +However, even the numerically stable version +can be computationally intractable if there are many hidden discrete +nodes, because the number of mixture components grows exponentially e.g., in a +
switching linear dynamical system. +In general, one must resort to approximate inference techniques: see +the discussion on inference engines below. + + +

Other hybrid models

+ +When we have C->D arcs, where C is hidden, we need to use +approximate inference. +One approach (not implemented in BNT) is described in + +Of course, one can always use sampling methods +for approximate inference in such models. + + + +

Parameter Learning

+ +The parameter estimation routines in BNT can be classified into 4 +types, depending on whether the goal is to compute +a full (Bayesian) posterior over the parameters or just a point +estimate (e.g., Maximum Likelihood or Maximum A Posteriori), +and whether all the variables are fully observed or there is missing +data/ hidden variables (partial observability). +

+ + + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_paramslearn_params_em
Bayesbayes_update_paramsnot yet supported
+ + +

Loading data from a file

+ +To load numeric data from an ASCII text file called 'dat.txt', where each row is a +case and columns are separated by white-space, such as +
+011979 1626.5 0.0
+021979 1367.0 0.0
+...
+
+you can use +
+data = load('dat.txt');
+
+or +
+load dat.txt -ascii
+
+In the latter case, the data is stored in a variable called 'dat' (the +filename minus the extension). +Alternatively, suppose the data is stored in a .csv file (has commas +separating the columns, and contains a header line), such as +
+header info goes here
+ORD,011979,1626.5,0.0
+DSM,021979,1367.0,0.0
+...
+
+You can load this using +
+[a,b,c,d] = textread('dat.txt', '%s %d %f %f', 'delimiter', ',', 'headerlines', 1);
+
+If your file is not in either of these formats, you can either use Perl to convert +it to this format, or use the Matlab scanf command. +Type + +help iofun + +for more information on Matlab's file functions. + +

+BNT learning routines require data to be stored in a cell array. +data{i,m} is the value of node i in case (example) m, i.e., each +column is a case. +If node i is not observed in case m (missing value), set +data{i,m} = []. +(Not all the learning routines can cope with such missing values, however.) +In the special case that all the nodes are observed and are +scalar-valued (as opposed to vector-valued), the data can be +stored in a matrix (as opposed to a cell-array). +

+Suppose, as in the mixture of experts example, +that we have 3 nodes in the graph: X(1) is the observed input, X(3) is +the observed output, and X(2) is a hidden (gating) node. We can +create the dataset as follows. +

+data = load('dat.txt');
+ncases = size(data, 1);
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data');
+
+Notice how we transposed the data, to convert rows into columns. +Also, cases{2,m} = [] for all m, since X(2) is always hidden. + + +

Maximum likelihood parameter estimation from complete data

+ +As an example, let's generate some data from the sprinkler network, randomize the parameters, +and then try to recover the original model. +First we create some training data using forwards sampling. +
+samples = cell(N, nsamples);
+for i=1:nsamples
+  samples(:,i) = sample_bnet(bnet);
+end
+
+samples{j,i} contains the value of the j'th node in case i. +sample_bnet returns a cell array because, in general, each node might +be a vector of different length. +In this case, all nodes are discrete (and hence scalars), so we +could have used a regular array instead (which can be quicker): +
+data = cell2num(samples);
+
+Now we create a network with random parameters. +(The initial values of bnet2 don't matter in this case, since we can find the +globally optimal MLE independent of where we start.) +
+% Make a tabula rasa
+bnet2 = mk_bnet(dag, node_sizes);
+seed = 0;
+rand('state', seed);
+bnet2.CPD{C} = tabular_CPD(bnet2, C);
+bnet2.CPD{R} = tabular_CPD(bnet2, R);
+bnet2.CPD{S} = tabular_CPD(bnet2, S);
+bnet2.CPD{W} = tabular_CPD(bnet2, W);
+
+Finally, we find the maximum likelihood estimates of the parameters. +
+bnet3 = learn_params(bnet2, samples);
+
+To view the learned parameters, we use a little Matlab hackery. +
+CPT3 = cell(1,N);
+for i=1:N
+  s=struct(bnet3.CPD{i});  % violate object privacy
+  CPT3{i}=s.CPT;
+end
+
+Here are the parameters learned for node 4. +
+dispcpt(CPT3{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.2000 0.8000 
+1 2 : 0.2273 0.7727 
+2 2 : 0.0000 1.0000 
+
+So we see that the learned parameters are fairly close to the "true" +ones, which we display below. +
+dispcpt(CPT{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.1000 0.9000 
+1 2 : 0.1000 0.9000 
+2 2 : 0.0100 0.9900 
+
+We can get better results by using a larger training set, or using +informative priors (see
below). + + + +

Parameter priors

+ +Currently, only tabular CPDs can have priors on their parameters. +The conjugate prior for a multinomial is the Dirichlet. +(For binary random variables, the multinomial is the same as the +Bernoulli, and the Dirichlet is the same as the Beta.) +

+The Dirichlet has a simple interpretation in terms of pseudo counts. +If we let N_ijk = the num. times X_i=k and Pa_i=j occurs in the +training set, where Pa_i are the parents of X_i, +then the maximum likelihood (ML) estimate is +T_ijk = N_ijk / N_ij (where N_ij = sum_k' N_ijk'), which will be 0 if N_ijk=0. +To prevent us from declaring that (X_i=k, Pa_i=j) is impossible just because this +event was not seen in the training set, +we can pretend we saw value k of X_i, for each value j of Pa_i some number (alpha_ijk) +of times in the past. +The MAP (maximum a posterior) estimate is then +

+T_ijk = (N_ijk + alpha_ijk) / (N_ij + alpha_ij)
+
+and is never 0 if all alpha_ijk > 0. +For example, consider the network A->B, where A is binary and B has 3 +values. +A uniform prior for B has the form +
+    B=1 B=2 B=3
+A=1 1   1   1
+A=2 1   1   1
+
+which can be created using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif');
+
+This prior does not satisfy the likelihood equivalence principle, +which says that
Markov equivalent models +should have the same marginal likelihood. +A prior that does satisfy this principle is shown below. +Heckerman (1995) calls this the +BDeu prior (likelihood equivalent uniform Bayesian Dirichlet). +
+    B=1 B=2 B=3
+A=1 1/6 1/6 1/6
+A=2 1/6 1/6 1/6
+
+where we put N/(q*r) in each bin; N is the equivalent sample size, +r=|A|, q = |B|. +This can be created as follows +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'BDeu');
+
+Here, 1 is the equivalent sample size, and is the strength of the +prior. +You can change this using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', ...
+   'BDeu', 'dirichlet_weight', 10);
+
+ + + + +

(Sequential) Bayesian parameter updating from complete data

+ +If we use conjugate priors and have fully observed data, we can +compute the posterior over the parameters in batch form as follows. +
+cases = sample_bnet(bnet, nsamples);
+bnet = bayes_update_params(bnet, cases);  
+LL = log_marg_lik_complete(bnet, cases);   
+
+bnet.CPD{i}.prior contains the new Dirichlet pseudocounts, +and bnet.CPD{i}.CPT is set to the mean of the posterior (the +normalized counts). +(Hence if the initial pseudo counts are 0, +bayes_update_params and learn_params will give the +same result.) + + + + +

+We can compute the same result sequentially (on-line) as follows. +

+LL = 0;
+for m=1:nsamples
+  LL = LL + log_marg_lik_complete(bnet, cases(:,m));
+  bnet = bayes_update_params(bnet, cases(:,m));
+end
+
+ +The file BNT/examples/static/StructLearn/model_select1 has an example of +sequential model selection which uses the same idea. +We generate data from the model A->B +and compute the posterior prob of all 3 dags on 2 nodes: + (1) A B, (2) A <- B , (3) A -> B +Models 2 and 3 are
Markov equivalent, and therefore indistinguishable from +observational data alone, so we expect their posteriors to be the same +(assuming a prior which satisfies likelihood equivalence). +If we use random parameters, the "true" model only gets a higher posterior after 2000 trials! +However, if we make B a noisy NOT gate, the true model "wins" after 12 +trials, as shown below (red = model 1, blue/green (superimposed) +represents models 2/3). +

+ +

+The use of marginal likelihood for model selection is discussed in +greater detail in the +section on structure learning. + + + + +

Maximum likelihood parameter estimation with missing values

+ +Now we consider learning when some values are not observed. +Let us randomly hide half the values generated from the water +sprinkler example. +
+samples2 = samples;
+hide = rand(N, nsamples) > 0.5;
+[I,J]=find(hide);
+for k=1:length(I)
+  samples2{I(k), J(k)} = [];
+end
+
+samples2{i,l} is the value of node i in training case l, or [] if unobserved. +

+Now we will compute the MLEs using the EM algorithm. +We need to use an inference algorithm to compute the expected +sufficient statistics in the E step; the M (maximization) step is as +above. +

+engine2 = jtree_inf_engine(bnet2);
+max_iter = 10;
+[bnet4, LLtrace] = learn_params_em(engine2, samples2, max_iter);
+
+LLtrace(i) is the log-likelihood at iteration i. We can plot this as +follows: +
+plot(LLtrace, 'x-')
+
+Let's display the results after 10 iterations of EM. +
+celldisp(CPT4)
+CPT4{1} =
+    0.6616
+    0.3384
+CPT4{2} =
+    0.6510    0.3490
+    0.8751    0.1249
+CPT4{3} =
+    0.8366    0.1634
+    0.0197    0.9803
+CPT4{4} =
+(:,:,1) =
+    0.8276    0.0546
+    0.5452    0.1658
+(:,:,2) =
+    0.1724    0.9454
+    0.4548    0.8342
+
+We can get improved performance by using one or more of the following +methods: +
    +
  • Increasing the size of the training set. +
  • Decreasing the amount of hidden data. +
  • Running EM for longer. +
  • Using informative priors. +
  • Initialising EM from multiple starting points. +
+ +Click
here for a discussion of learning +Gaussians, which can cause numerical problems. + +

Parameter tying

+ +In networks with repeated structure (e.g., chains and grids), it is +common to assume that the parameters are the same at every node. This +is called parameter tying, and reduces the amount of data needed for +learning. +

+When we have tied parameters, there is no longer a one-to-one +correspondence between nodes and CPDs. +Rather, each CPD species the parameters for a whole equivalence class +of nodes. +It is easiest to see this by example. +Consider the following hidden Markov +model (HMM) +

+ +

+ +When HMMs are used for semi-infinite processes like speech recognition, +we assume the transition matrix +P(H(t+1)|H(t)) is the same for all t; this is called a time-invariant +or homogenous Markov chain. +Hence hidden nodes 2, 3, ..., T +are all in the same equivalence class, say class Hclass. +Similarly, the observation matrix P(O(t)|H(t)) is assumed to be the +same for all t, so the observed nodes are all in the same equivalence +class, say class Oclass. +Finally, the prior term P(H(1)) is in a class all by itself, say class +H1class. +This is illustrated below, where we explicitly represent the +parameters as random variables (dotted nodes). +

+ +

+In BNT, we cannot represent parameters as random variables (nodes). +Instead, we "hide" the +parameters inside one CPD for each equivalence class, +and then specify that the other CPDs should share these parameters, as +follows. +

+hnodes = 1:2:2*T;
+onodes = 2:2:2*T;
+H1class = 1; Hclass = 2; Oclass = 3;
+eclass = ones(1,N);
+eclass(hnodes(2:end)) = Hclass;
+eclass(hnodes(1)) = H1class;
+eclass(onodes) = Oclass;
+% create dag and ns in the usual way
+bnet = mk_bnet(dag, ns, 'discrete', dnodes, 'equiv_class', eclass);
+
+Finally, we define the parameters for each equivalence class: +
+bnet.CPD{H1class} = tabular_CPD(bnet, hnodes(1)); % prior
+bnet.CPD{Hclass} = tabular_CPD(bnet, hnodes(2)); % transition matrix
+if cts_obs
+  bnet.CPD{Oclass} = gaussian_CPD(bnet, onodes(1));
+else
+  bnet.CPD{Oclass} = tabular_CPD(bnet, onodes(1));
+end
+
+In general, if bnet.CPD{e} = xxx_CPD(bnet, j), then j should be a +member of e's equivalence class; that is, it is not always the case +that e == j. You can use bnet.rep_of_eclass(e) to return the +representative of equivalence class e. +BNT will look up the parents of j to determine the size +of the CPT to use. It assumes that this is the same for all members of +the equivalence class. +Click here for +a more complex example of parameter tying. +

+Note: +Normally one would define an HMM as a +Dynamic Bayes Net +(see the function BNT/examples/dynamic/mk_chmm.m). +However, one can define an HMM as a static BN using the function +BNT/examples/static/Models/mk_hmm_bnet.m. + + + +

Structure learning

+ +Update (9/29/03): +Phillipe LeRay is developing some additional structure learning code +on top of BNT. Click here +for details. + +

+ +There are two very different approaches to structure learning: +constraint-based and search-and-score. +In the constraint-based approach, +we start with a fully connected graph, and remove edges if certain +conditional independencies are measured in the data. +This has the disadvantage that repeated independence tests lose +statistical power. +

+In the more popular search-and-score approach, +we perform a search through the space of possible DAGs, and either +return the best one found (a point estimate), or return a sample of the +models found (an approximation to the Bayesian posterior). +

+Unfortunately, the number of DAGs as a function of the number of +nodes, G(n), is super-exponential in n. +A closed form formula for G(n) is not known, but the first few values +are shown below (from Cooper, 1999). + + + + + + + + + + + + + +
n G(n)
1 1
2 3
3 25
4 543
5 29,281
6 3,781,503
7 1.1 x 10^9
8 7.8 x 10^11
9 1.2 x 10^15
10 4.2 x 10^18
+ +Since the number of DAGs is super-exponential in the number of nodes, +we cannot exhaustively search the space, so we either use a local +search algorithm (e.g., greedy hill climbining, perhaps with multiple +restarts) or a global search algorithm (e.g., Markov Chain Monte +Carlo). +

+If we know a total ordering on the nodes, +finding the best structure amounts to picking the best set of parents +for each node independently. +This is what the K2 algorithm does. +If the ordering is unknown, we can search over orderings, +which is more efficient than searching over DAGs (Koller and Friedman, 2000). +

+In addition to the search procedure, we must specify the scoring +function. There are two popular choices. The Bayesian score integrates +out the parameters, i.e., it is the marginal likelihood of the model. +The BIC (Bayesian Information Criterion) is defined as +log P(D|theta_hat) - 0.5*d*log(N), where D is the data, theta_hat is +the ML estimate of the parameters, d is the number of parameters, and +N is the number of data cases. +The BIC method has the advantage of not requiring a prior. +

+BIC can be derived as a large sample +approximation to the marginal likelihood. +(It is also equal to the Minimum Description Length of a model.) +However, in practice, the sample size does not need to be very large +for the approximation to be good. +For example, in the figure below, we plot the ratio between the log marginal likelihood +and the BIC score against data-set size; we see that the ratio rapidly +approaches 1, especially for non-informative priors. +(This plot was generated by the file BNT/examples/static/bic1.m. It +uses the water sprinkler BN with BDeu Dirichlet priors with different +equivalent sample sizes.) + +

+

+ +
+

+ +

+As with parameter learning, handling missing data/ hidden variables is +much harder than the fully observed case. +The structure learning routines in BNT can therefore be classified into 4 +types, analogously to the parameter learning case. +

+ + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_struct_K2
+ +
not yet supported
Bayeslearn_struct_mcmcnot yet supported
+ + +

Markov equivalence

+ +If two DAGs encode the same conditional independencies, they are +called Markov equivalent. The set of all DAGs can be paritioned into +Markov equivalence classes. Graphs within the same class can +have +the direction of some of their arcs reversed without changing any of +the CI relationships. +Each class can be represented by a PDAG +(partially directed acyclic graph) called an essential graph or +pattern. This specifies which edges must be oriented in a certain +direction, and which may be reversed. + +

+When learning graph structure from observational data, +the best one can hope to do is to identify the model up to Markov +equivalence. To distinguish amongst graphs within the same equivalence +class, one needs interventional data: see the discussion on active learning below. + + + +

Exhaustive search

+ +The brute-force approach to structure learning is to enumerate all +possible DAGs, and score each one. This provides a "gold standard" +with which to compare other algorithms. We can do this as follows. +
+dags = mk_all_dags(N);
+score = score_dags(data, ns, dags);
+
+where data(i,m) is the value of node i in case m, +and ns(i) is the size of node i. +If the DAGs have a lot of families in common, we can cache the sufficient statistics, +making this potentially more efficient than scoring the DAGs one at a time. +(Caching is not currently implemented, however.) +

+By default, we use the Bayesian scoring metric, and assume CPDs are +represented by tables with BDeu(1) priors. +We can override these defaults as follows. +If we want to use uniform priors, we can say +

+params = cell(1,N);
+for i=1:N
+  params{i} = {'prior', 'unif'};
+end
+score = score_dags(data, ns, dags, 'params', params);
+
+params{i} is a cell-array, containing optional arguments that are +passed to the constructor for CPD i. +

+Now suppose we want to use different node types, e.g., +Suppose nodes 1 and 2 are Gaussian, and nodes 3 and 4 softmax (both +these CPDs can support discrete and continuous parents, which is +necessary since all other nodes will be considered as parents). +The Bayesian scoring metric currently only works for tabular CPDs, so +we will use BIC: +

+score = score_dags(data, ns, dags, 'discrete', [3 4], 'params', [], 
+    'type', {'gaussian', 'gaussian', 'softmax', softmax'}, 'scoring_fn', 'bic')
+
+In practice, one can't enumerate all possible DAGs for N > 5, +but one can evaluate any reasonably-sized set of hypotheses in this +way (e.g., nearest neighbors of your current best guess). +Think of this as "computer assisted model refinement" as opposed to de +novo learning. + + +

K2

+ +The K2 algorithm (Cooper and Herskovits, 1992) is a greedy search algorithm that works as follows. +Initially each node has no parents. It then adds incrementally that parent whose addition most +increases the score of the resulting structure. When the addition of no single +parent can increase the score, it stops adding parents to the node. +Since we are using a fixed ordering, we do not need to check for +cycles, and can choose the parents for each node independently. +

+The original paper used the Bayesian scoring +metric with tabular CPDs and Dirichlet priors. +BNT generalizes this to allow any kind of CPD, and either the Bayesian +scoring metric or BIC, as in the example above. +In addition, you can specify +an optional upper bound on the number of parents for each node. +The file BNT/examples/static/k2demo1.m gives an example of how to use K2. +We use the water sprinkler network and sample 100 cases from it as before. +Then we see how much data it takes to recover the generating structure: +

+order = [C S R W];
+max_fan_in = 2;
+sz = 5:5:100;
+for i=1:length(sz)
+  dag2 = learn_struct_K2(data(:,1:sz(i)), node_sizes, order, 'max_fan_in', max_fan_in);
+  correct(i) = isequal(dag, dag2);
+end
+
+Here are the results. +
+correct =
+  Columns 1 through 12 
+     0     0     0     0     0     0     0     1     0     1     1     1
+  Columns 13 through 20 
+     1     1     1     1     1     1     1     1
+
+So we see it takes about sz(10)=50 cases. (BIC behaves similarly, +showing that the prior doesn't matter too much.) +In general, we cannot hope to recover the "true" generating structure, +only one that is in its Markov equivalence +class. + + +

Hill-climbing

+ +Hill-climbing starts at a specific point in space, +considers all nearest neighbors, and moves to the neighbor +that has the highest score; if no neighbors have higher +score than the current point (i.e., we have reached a local maximum), +the algorithm stops. One can then restart in another part of the space. +

+A common definition of "neighbor" is all graphs that can be +generated from the current graph by adding, deleting or reversing a +single arc, subject to the acyclicity constraint. +Other neighborhoods are possible: see + +Optimal Structure Identification with Greedy Search, Max +Chickering, JMLR 2002. + + + + +

MCMC

+ +We can use a Markov Chain Monte Carlo (MCMC) algorithm called +Metropolis-Hastings (MH) to search the space of all +DAGs. +The standard proposal distribution is to consider moving to all +nearest neighbors in the sense defined above. +

+The function can be called +as in the following example. +

+[sampled_graphs, accept_ratio] = learn_struct_mcmc(data, ns, 'nsamples', 100, 'burnin', 10);
+
+We can convert our set of sampled graphs to a histogram +(empirical posterior over all the DAGs) thus +
+all_dags = mk_all_dags(N);
+mcmc_post = mcmc_sample_to_hist(sampled_graphs, all_dags);
+
+To see how well this performs, let us compute the exact posterior exhaustively. +

+

+score = score_dags(data, ns, all_dags);
+post = normalise(exp(score)); % assuming uniform structural prior
+
+We plot the results below. +(The data set was 100 samples drawn from a random 4 node bnet; see the +file BNT/examples/static/mcmc1.) +
+subplot(2,1,1)
+bar(post)
+subplot(2,1,2)
+bar(mcmc_post)
+
+ +

+We can also plot the acceptance ratio versus number of MCMC steps, +as a crude convergence diagnostic. +

+clf
+plot(accept_ratio)
+
+ +

+Even though the number of samples needed by MCMC is theoretically +polynomial (not exponential) in the dimensionality of the search space, in practice it has been +found that MCMC does not converge in reasonable time for graphs with +more than about 10 nodes. + + + + +

Active structure learning

+ +As was mentioned above, +one can only learn a DAG up to Markov equivalence, even given infinite data. +If one is interested in learning the structure of a causal network, +one needs interventional data. +(By "intervention" we mean forcing a node to take on a specific value, +thereby effectively severing its incoming arcs.) +

+Most of the scoring functions accept an optional argument +that specifies whether a node was observed to have a certain value, or +was forced to have that value: we set clamped(i,m)=1 if node i was +forced in training case m. e.g., see the file +BNT/examples/static/cooper_yoo. +

+An interesting question is to decide which interventions to perform +(c.f., design of experiments). For details, see the following tech +report +

+ + +

Structural EM

+ +Computing the Bayesian score when there is partial observability is +computationally challenging, because the parameter posterior becomes +multimodal (the hidden nodes induce a mixture distribution). +One therefore needs to use approximations such as BIC. +Unfortunately, search algorithms are still expensive, because we need +to run EM at each step to compute the MLE, which is needed to compute +the score of each model. An alternative approach is +to do the local search steps inside of the M step of EM, which is more +efficient since the data has been "filled in" - this is +called the structural EM algorithm (Friedman 1997), and provably +converges to a local maximum of the BIC score. +

+Wei Hu has implemented SEM for discrete nodes. +You can download his package from +here. +Please address all questions about this code to +wei.hu@intel.com. +See also Phl's implementation of SEM. + + + + +

Visualizing the graph

+ +You can visualize an arbitrary graph (such as one learned using the +structure learning routines) with Matlab code contributed by +Ali +Taylan Cemgil +from the University of Nijmegen. +For static BNs, call it as follows: +
+draw_graph(bnet.dag);
+
+For example, this is the output produced on a +random QMR-like model: +

+ +

+If you install the excellent graphhviz, an +open-source graph visualization package from AT&T, +you can create a much better visualization as follows +

+graph_to_dot(bnet.dag)
+
+This works by converting the adjacency matrix to a file suitable +for input to graphviz (using the dot format), +then converting the output of graphviz to postscript, and displaying the results using +ghostview. +You can do each of these steps separately for more control, as shown +below. +
+graph_to_dot(bnet.dag, 'filename', 'foo.dot');
+dot -Tps foo.dot -o foo.ps
+ghostview foo.ps &
+
+ +

Constraint-based methods

+ +The IC algorithm (Pearl and Verma, 1991), +and the faster, but otherwise equivalent, PC algorithm (Spirtes, Glymour, and Scheines 1993), +computes many conditional independence tests, +and combines these constraints into a +PDAG to represent the whole +Markov equivalence class. +

+IC*/FCI extend IC/PC to handle latent variables: see below. +(IC stands for inductive causation; PC stands for Peter and Clark, +the first names of Spirtes and Glymour; FCI stands for fast causal +inference. +What we, following Pearl (2000), call IC* was called +IC in the original Pearl and Verma paper.) +For details, see +

+ +

+ +The PC algorithm takes as arguments a function f, the number of nodes N, +the maximum fan in K, and additional arguments A which are passed to f. +The function f(X,Y,S,A) returns 1 if X is conditionally independent of Y given S, and 0 +otherwise. +For example, suppose we cheat by +passing in a CI "oracle" which has access to the true DAG; the oracle +tests for d-separation in this DAG, i.e., +f(X,Y,S) calls dsep(X,Y,S,dag). We can to this as follows. +

+pdag = learn_struct_pdag_pc('dsep', N, max_fan_in, dag);
+
+pdag(i,j) = -1 if there is definitely an i->j arc, +and pdag(i,j) = 1 if there is either an i->j or and i<-j arc. +

+Applied to the sprinkler network, this returns +

+pdag =
+     0     1     1     0
+     1     0     0    -1
+     1     0     0    -1
+     0     0     0     0
+
+So as expected, we see that the V-structure at the W node is uniquely identified, +but the other arcs have ambiguous orientation. +

+We now give an example from p141 (1st edn) / p103 (2nd end) of the SGS +book. +This example concerns the female orgasm. +We are given a correlation matrix C between 7 measured factors (such +as subjective experiences of coital and masturbatory experiences), +derived from 281 samples, and want to learn a causal model of the +data. We will not discuss the merits of this type of work here, but +merely show how to reproduce the results in the SGS book. +Their program, +Tetrad, +makes use of the Fisher Z-test for conditional +independence, so we do the same: +

+max_fan_in = 4;
+nsamples = 281;
+alpha = 0.05;
+pdag = learn_struct_pdag_pc('cond_indep_fisher_z', n, max_fan_in, C, nsamples, alpha);
+
+In this case, the CI test is +
+f(X,Y,S) = cond_indep_fisher_z(X,Y,S,  C,nsamples,alpha)
+
+The results match those of Fig 12a of SGS apart from two edge +differences; presumably this is due to rounding error (although it +could be a bug, either in BNT or in Tetrad). +This example can be found in the file BNT/examples/static/pc2.m. + +

+ +The IC* algorithm (Pearl and Verma, 1991), +and the faster FCI algorithm (Spirtes, Glymour, and Scheines 1993), +are like the IC/PC algorithm, except that they can detect the presence +of latent variables. +See the file learn_struct_pdag_ic_star written by Tamar +Kushnir. The output is a matrix P, defined as follows +(see Pearl (2000), p52 for details): +

+% P(i,j) = -1 if there is either a latent variable L such that i <-L->j OR there is a directed edge from i->j.
+% P(i,j) = -2 if there is a marked directed i-*>j edge.
+% P(i,j) = P(j,i) = 1 if there is and undirected edge i--j
+% P(i,j) = P(j,i) = 2 if there is a latent variable L such that i<-L->j.
+
+ + +

Philippe Leray's structure learning package

+ +Philippe Leray has written a + +structure learning package that uses BNT. + +It currently (Juen 2003) has the following features: +
    +
  • PC with Chi2 statistical test +
  • MWST : Maximum weighted Spanning Tree +
  • Hill Climbing +
  • Greedy Search +
  • Structural EM +
  • hist_ic : optimal Histogram based on IC information criterion +
  • cpdag_to_dag +
  • dag_to_cpdag +
  • ... +
+ + + + + + + + + + + +

Inference engines

+ +Up until now, we have used the junction tree algorithm for inference. +However, sometimes this is too slow, or not even applicable. +In general, there are many inference algorithms each of which make +different tradeoffs between speed, accuracy, complexity and +generality. Furthermore, there might be many implementations of the +same algorithm; for instance, a general purpose, readable version, +and a highly-optimized, specialized one. +To cope with this variety, we treat each inference algorithm as an +object, which we call an inference engine. + +

+An inference engine is an object that contains a bnet and supports the +'enter_evidence' and 'marginal_nodes' methods. The engine constructor +takes the bnet as argument and may do some model-specific processing. +When 'enter_evidence' is called, the engine may do some +evidence-specific processing. Finally, when 'marginal_nodes' is +called, the engine may do some query-specific processing. + +

+The amount of work done when each stage is specified -- structure, +parameters, evidence, and query -- depends on the engine. The cost of +work done early in this sequence can be amortized. On the other hand, +one can make better optimizations if one waits until later in the +sequence. +For example, the parameters might imply +conditional indpendencies that are not evident in the graph structure, +but can nevertheless be exploited; the evidence indicates which nodes +are observed and hence can effectively be disconnected from the +graph; and the query might indicate that large parts of the network +are d-separated from the query nodes. (Since it is not the actual +values of the evidence that matters, just which nodes are observed, +many engines allow you to specify which nodes will be observed when they are constructed, +i.e., before calling 'enter_evidence'. Some engines can still cope if +the actual pattern of evidence is different, e.g., if there is missing +data.) +

+ +Although being maximally lazy (i.e., only doing work when a query is +issued) may seem desirable, +this is not always the most efficient. +For example, +when learning using EM, we need to call marginal_nodes N times, where N is the +number of nodes. Variable elimination would end +up repeating a lot of work +each time marginal_nodes is called, making it inefficient for +learning. The junction tree algorithm, by contrast, uses dynamic +programming to avoid this redundant computation --- it calculates all +marginals in two passes during 'enter_evidence', so calling +'marginal_nodes' takes constant time. +

+We will discuss some of the inference algorithms implemented in BNT +below, and finish with a summary of all +of them. + + + + + + + +

Variable elimination

+ +The variable elimination algorithm, also known as bucket elimination +or peeling, is one of the simplest inference algorithms. +The basic idea is to "push sums inside of products"; this is explained +in more detail +here. +

+The principle of distributing sums over products can be generalized +greatly to apply to any commutative semiring. +This forms the basis of many common algorithms, such as Viterbi +decoding and the Fast Fourier Transform. For details, see + +

+ +

+Choosing an order in which to sum out the variables so as to minimize +computational cost is known to be NP-hard. +The implementation of this algorithm in +var_elim_inf_engine makes no attempt to optimize this +ordering (in contrast, say, to jtree_inf_engine, which uses a +greedy search procedure to find a good ordering). +

+Note: unlike most algorithms, var_elim does all its computational work +inside of marginal_nodes, not inside of +enter_evidence. + + + + +

Global inference methods

+ +The simplest inference algorithm of all is to explicitely construct +the joint distribution over all the nodes, and then to marginalize it. +This is implemented in global_joint_inf_engine. +Since the size of the joint is exponential in the +number of discrete (hidden) nodes, this is not a very practical algorithm. +It is included merely for pedagogical and debugging purposes. +

+Three specialized versions of this algorithm have also been implemented, +corresponding to the cases where all the nodes are discrete (D), all +are Gaussian (G), and some are discrete and some Gaussian (CG). +They are called enumerative_inf_engine, +gaussian_inf_engine, +and cond_gauss_inf_engine respectively. +

+Note: unlike most algorithms, these global inference algorithms do all their computational work +inside of marginal_nodes, not inside of +enter_evidence. + + +

Quickscore

+ +The junction tree algorithm is quite slow on the QMR network, +since the cliques are so big. +One simple trick we can use is to notice that hidden leaves do not +affect the posteriors on the roots, and hence do not need to be +included in the network. +A second trick is to notice that the negative findings can be +"absorbed" into the prior: +see the file +BNT/examples/static/mk_minimal_qmr_bnet for details. +

+ +A much more significant speedup is obtained by exploiting special +properties of the noisy-or node, as done by the quickscore +algorithm. For details, see +

    +
  • Heckerman, "A tractable inference algorithm for diagnosing multiple diseases", UAI 89. +
  • Rish and Dechter, "On the impact of causal independence", UCI +tech report, 1998. +
+ +This has been implemented in BNT as a special-purpose inference +engine, which can be created and used as follows: +
+engine = quickscore_inf_engine(inhibit, leak, prior);
+engine = enter_evidence(engine, pos, neg);
+m = marginal_nodes(engine, i);
+
+ + +

Belief propagation

+ +Even using quickscore, exact inference takes time that is exponential +in the number of positive findings. +Hence for large networks we need to resort to approximate inference techniques. +See for example +
    +
  • T. Jaakkola and M. Jordan, "Variational probabilistic inference and the +QMR-DT network", JAIR 10, 1999. + +
  • K. Murphy, Y. Weiss and M. Jordan, "Loopy belief propagation for approximate inference: an empirical study", + UAI 99. +
+The latter approximation +entails applying Pearl's belief propagation algorithm to a model even +if it has loops (hence the name loopy belief propagation). +Pearl's algorithm, implemented as pearl_inf_engine, gives +exact results when applied to singly-connected graphs +(a.k.a. polytrees, since +the underlying undirected topology is a tree, but a node may have +multiple parents). +To apply this algorithm to a graph with loops, +use pearl_inf_engine. +This can use a centralized or distributed message passing protocol. +You can use it as in the following example. +
+engine = pearl_inf_engine(bnet, 'max_iter', 30);
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, i);
+
+We found that this algorithm often converges, and when it does, often +is very accurate, but it depends on the precise setting of the +parameter values of the network. +(See the file BNT/examples/static/qmr1 to repeat the experiment for yourself.) +Understanding when and why belief propagation converges/ works +is a topic of ongoing research. +

+pearl_inf_engine can exploit special structure in noisy-or +and gmux nodes to compute messages efficiently. +

+belprop_inf_engine is like pearl, but uses potentials to +represent messages. Hence this is slower. +

+belprop_fg_inf_engine is like belprop, +but is designed for factor graphs. + + + +

Sampling

+ +BNT now (Mar '02) has two sampling (Monte Carlo) inference algorithms: + +Note: To generate samples from a network (which is not the same as inference!), +use sample_bnet. + + + +

Summary of inference engines

+ + +The inference engines differ in many ways. Here are +some of the major "axes": +
    +
  • Works for all topologies or makes restrictions? +
  • Works for all node types or makes restrictions? +
  • Exact or approximate inference? +
+ +

+In terms of topology, most engines handle any kind of DAG. +belprop_fg does approximate inference on factor graphs (FG), which +can be used to represent directed, undirected, and mixed (chain) +graphs. +(In the future, we plan to support exact inference on chain graphs.) +quickscore only works on QMR-like models. +

+In terms of node types: algorithms that use potentials can handle +discrete (D), Gaussian (G) or conditional Gaussian (CG) models. +Sampling algorithms can essentially handle any kind of node (distribution). +Other algorithms make more restrictive assumptions in exchange for +speed. +

+Finally, most algorithms are designed to give the exact answer. +The belief propagation algorithms are exact if applied to trees, and +in some other cases. +Sampling is considered approximate, even though, in the limit of an +infinite number of samples, it gives the exact answer. + +

+ +Here is a summary of the properties +of all the engines in BNT which work on static networks. +

+ +
+ + + + + + + + + + + + + + + +
Name +Exact? +Node type? +topology +
belprop + approx + D + DAG +
belprop_fg + approx + D + factor graph +
cond_gauss + exact + CG + DAG +
enumerative + exact + D + DAG +
gaussian + exact + G + DAG +
gibbs + approx + D + DAG +
global_joint + exact + D,G,CG + DAG +
jtree + exact + D,G,CG + DAG +b
likelihood_weighting + approx + any + DAG +
pearl + approx + D,G + DAG +
pearl + exact + D,G + polytree +
quickscore + exact + noisy-or + QMR +
stab_cond_gauss + exact + CG + DAG +
var_elim + exact + D,G,CG + DAG +
+ + + +

Influence diagrams/ decision making

+ +BNT implements an exact algorithm for solving LIMIDs (limited memory +influence diagrams), described in + +LIMIDs explicitely show all information arcs, rather than implicitely +assuming no forgetting. This allows them to model forgetful +controllers. +

+See the examples in BNT/examples/limids for details. + + + + +

DBNs, HMMs, Kalman filters and all that

+ +Click here for documentation about how to +use BNT for dynamical systems and sequence data. + + + diff --git a/sourcecodes/bnt-master/docs/usage_cropped.html b/sourcecodes/bnt-master/docs/usage_cropped.html new file mode 100644 index 00000000..11bb4e12 --- /dev/null +++ b/sourcecodes/bnt-master/docs/usage_cropped.html @@ -0,0 +1,3232 @@ + +How to use the Bayes Net Toolbox + + + + + +

How to use the Bayes Net Toolbox

+ +This documentation was last updated on 13 November 2002. +
+Click here for a list of changes made to +BNT. +
+Click +here +for a French version of this documentation (which might not +be up-to-date). + + +

+ +

+ + + + + + +

Installation

+ +

Installing the Matlab code

+ +
    +
  • Download the BNT.zip file. + +

    +

  • Unpack the file. In Unix, type + +"unzip FullBNT.zip". +In Windows, use +a program like Winzip. This will +create a directory called FullBNT, which contains BNT and other libraries. + +

    +

  • Read the file BNT/README to make sure the date +matches the one on the top of the BNT home page. +If not, you may need to press 'refresh' on your browser, and download +again, to get the most recent version. + +

    +

  • Edit the file "BNT/add_BNT_to_path.m" so it contains the correct +pathname. +For example, in Windows, +I download FullBNT.zip into C:\kpmurphy\matlab, and +then comment out the second line (with the % character), and uncomment +the third line, which reads +
    +BNT_HOME = 'C:\kpmurphy\matlab\FullBNT';
    +
    + +

    +

  • Start up Matlab. + +

    +

  • Type "ver" at the Matlab prompt (">>"). +You need Matlab version 5.2 or newer to run BNT. +(Versions 5.0 and 5.1 have a memory leak which seems to sometimes +crash BNT.) + +

    +

  • Move to the BNT directory. +For example, in Windows, I type +
    +>> cd C:\kpmurphy\matlab\FullBNT\BNT
    +
    + +

    +

  • Type "add_BNT_to_path". +This executes the command +addpath(genpath(BNT_HOME)), +which adds all directories below FullBNT to the matlab path. + +

    +

  • Type "test_BNT". +If all goes well, this will just produce a bunch of numbers and pictures. +It may produce some +warning messages (which you can ignore), but should not produce any error messages. +(The warnings should only be of the form +"Warning: Maximum number of iterations has been exceeded", and are +produced by Netlab.) + +

    +

  • +Join the BNT email list + +
+ + +If you are new to Matlab, you might like to check out +some useful Matlab tips. +For instance, this explains how to create a startup file, which can be +used to set your path variable automatically, so you can avoid having +to type the above commands every time. + + + + +

Installing the C code

+ +Some BNT functions also have C implementations. +It is not necessary to install the C code, but it can result in a speedup +of a factor of 2-5 of certain simple functions. +To install all the C code, +edit installC_BNT.m so it contains the right path, +then type installC_BNT. +To uninstall all the C code, +edit uninstallC_BNT.m so it contains the right path, +then type uninstallC_BNT. +For an up-to-date list of the files which have C implementations, see +BNT/installC_BNT.m. + +

+mex is a script that lets you call C code from Matlab - it does not compile matlab to +C (see mcc below). +If your C/C++ compiler is set up correctly, mex should work out of +the box. (Matlab 6 now ships with its own minimal C compiler.) +If not, you might need to type +

+ mex -setup +

+before calling installC. +

+To make mex call gcc on Windows, +you must install gnumex. +You can use the minimalist GNU for +Windows version of gcc, or +the cygwin version. +

+In general, typing +'mex foo.c' from inside Matlab creates a file called +'foo.mexglx' or 'foo.dll' (the exact file +extension is system dependent - on Linux it is 'mexglx', on Windows it is '.dll'). +The resulting file will hide the original 'foo.m' (if it existed), i.e., +typing 'foo' at the prompt will call the compiled C version. +To reveal the original matlab version, just delete foo.mexglx (this is +what uninstallC does). +

+Sometimes it takes time for Matlab to realize that the file has +changed from matlab to C or vice versa; try typing 'clear all' or +restarting Matlab to refresh it. +To find out which version of a file you are running, type +'which foo'. +

+mcc, the +Matlab to C compiler, is a separate product, +and is quite different from mex. It does not yet support +objects/classes, which is why we can't compile all of BNT to C automatically. +Also, hand-written C code is usually much +better than the C code generated by mcc. + + +

+Acknowledgements: +Although I wrote some of the C code, most of +the C code (e.g., for jtree and dpot) was written by Wei Hu; +the triangulation C code was written by Ilya Shpitser. + + +

Creating your first Bayes net

+ +To define a Bayes net, you must specify the graph structure and then +the parameters. We look at each in turn, using a simple example +(adapted from Russell and +Norvig, "Artificial Intelligence: a Modern Approach", Prentice Hall, +1995, p454). + + +

Graph structure

+ + +Consider the following network. + +

+

+ +
+

+ +

+To specify this directed acyclic graph (dag), we create an adjacency matrix: +

+N = 4; 
+dag = zeros(N,N);
+C = 1; S = 2; R = 3; W = 4;
+dag(C,[R S]) = 1;
+dag(R,W) = 1;
+dag(S,W)=1;
+
+

+We have numbered the nodes as follows: +Cloudy = 1, Sprinkler = 2, Rain = 3, WetGrass = 4. +The nodes must always be numbered in topological order, i.e., +ancestors before descendants. +For a more complicated graph, this is a little inconvenient: we will +see how to get around this below. +

+ + + +

Summary of CPD types

+ +We list all the different types of CPDs supported by BNT. +For each CPD, we specify if the child and parents can be discrete (D) or +continuous (C) (Binary (B) nodes are a special case). +We also specify which methods each class supports. +If a method is inherited, the name of the parent class is mentioned. +If a parent class calls a child method, this is mentioned. +

+The CPD_to_CPT method converts a CPD to a table; this +requires that the child and all parents are discrete. +The CPT might be exponentially big... +convert_to_table evaluates a CPD with evidence, and +represents the the resulting potential as an array. +This requires that the child is discrete, and any continuous parents +are observed. +convert_to_pot evaluates a CPD with evidence, and +represents the resulting potential as a dpot, gpot, cgpot or upot, as +requested. (d=discrete, g=Gaussian, cg = conditional Gaussian, u = +utility). + +

+When we sample a node, all the parents are observed. +When we compute the (log) probability of a node, all the parents and +the child are observed. +

+We also specify if the parameters are learnable. +For learning with EM, we require +the methods reset_ess, update_ess and +maximize_params. +For learning from fully observed data, we require +the method learn_params. +By default, all classes inherit this from generic_CPD, which simply +calls update_ess N times, once for each data case, followed +by maximize_params, i.e., it is like EM, without the E step. +Some classes implement a batch formula, which is quicker. +

+Bayesian learning means computing a posterior over the parameters +given fully observed data. +

+Pearl means we implement the methods compute_pi and +compute_lambda_msg, used by +pearl_inf_engine, which runs on directed graphs. +belprop_inf_engine only needs convert_to_pot.H +The pearl methods can exploit special properties of the CPDs for +computing the messages efficiently, whereas belprop does not. +

+The only method implemented by generic_CPD is adjustable_CPD, +which is not shown, since it is not very interesting. + + +

+ + + +
+ + + + + + + + + + + + +
Name +Child +Parents +Comments +CPD_to_CPT +conv_to_table +conv_to_pot +sample +prob +learn +Bayes +Pearl + + +
+ + + + + + + + + + + + +
boolean +B +B +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
deterministic +D +D +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
Discrete +D +C/D +Virtual class +N +Calls CPD_to_CPT +Calls conv_to_table +Calls conv_to_table +Calls conv_to_table +N +N +N + +
Gaussian +C +C/D +- +N +N +Y +Y +Y +Y +N +N + +
gmux +C +C/D +multiplexer +N +N +Y +N +N +N +N +Y + + +
MLP +D +C/D +multi layer perceptron +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
noisy-or +B +B +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +N +N +Y + + +
root +C/D +none +no params +N +N +Y +Y +Y +N +N +N + + +
softmax +D +C/D +- +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
generic +C/D +C/D +Virtual class +N +N +N +N +N +N +N +N + + +
Tabular +D +D +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +Y +Y + +
+ + + +

Example models

+ + +

Gaussian mixture models

+ +Richard W. DeVaul has made a detailed tutorial on how to fit mixtures +of Gaussians using BNT. Available +
here. + + +

PCA, ICA, and all that

+ +In Figure (a) below, we show how Factor Analysis can be thought of as a +graphical model. Here, X has an N(0,I) prior, and +Y|X=x ~ N(mu + Wx, Psi), +where Psi is diagonal and W is called the "factor loading matrix". +Since the noise on both X and Y is diagonal, the components of these +vectors are uncorrelated, and hence can be represented as individual +scalar nodes, as we show in (b). +(This is useful if parts of the observations on the Y vector are occasionally missing.) +We usually take k=|X| << |Y|=D, so the model tries to explain +many observations using a low-dimensional subspace. + + +
+ + + +
+ + + +
(a) + (b) + (c) + (d) +
+
+ +

+We can create this model in BNT as follows. +

+ns = [k D];
+dag = zeros(2,2);
+dag(1,2) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', []);
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', zeros(k,1), 'cov', eye(k), ...
+   'cov_type', 'diag', 'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(D,1), 'cov', diag(Psi0), 'weights', W0, ...
+   'cov_type', 'diag', 'clamp_mean', 1);
+
+ +The root node is clamped to the N(0,I) distribution, so that we will +not update these parameters during learning. +The mean of the leaf node is clamped to 0, +since we assume the data has been centered (had its mean subtracted +off); this is just for simplicity. +Finally, the covariance of the leaf node is constrained to be +diagonal. W0 and Psi0 are the initial parameter guesses. + +

+We can fit this model (i.e., estimate its parameters in a maximum +likelihood (ML) sense) using EM, as we +explain below. +Not surprisingly, the ML estimates for mu and Psi turn out to be +identical to the +sample mean and variance, which can be computed directly as +

+mu_ML = mean(data);
+Psi_ML = diag(cov(data));
+
+Note that W can only be identified up to a rotation matrix, because of +the spherical symmetry of the source. + +

+If we restrict Psi to be spherical, i.e., Psi = sigma*I, +there is a closed-form solution for W as well, +i.e., we do not need to use EM. +In particular, W contains the first |X| eigenvectors of the sample covariance +matrix, with scalings determined by the eigenvalues and sigma. +Classical PCA can be obtained by taking the sigma->0 limit. +For details, see + +

+ +

+By adding a hidden discrete variable, we can create mixtures of FA +models, as shown in (c). +Now we can explain the data using a set of subspaces. +We can create this model in BNT as follows. +

+ns = [M k D];
+dag = zeros(3);
+dag(1,3) = 1;
+dag(2,3) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', 1);
+bnet.CPD{1} = tabular_CPD(bnet, 1, Pi0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(k, 1), 'cov', eye(k), 'cov_type', 'diag', ...
+			   'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', Mu0', 'cov', repmat(diag(Psi0), [1 1 M]), ...
+			   'weights', W0, 'cov_type', 'diag', 'tied_cov', 1);
+
+Notice how the covariance matrix for Y is the same for all values of +Q; that is, the noise level in each sub-space is assumed the same. +However, we allow the offset, mu, to vary. +For details, see + + +

+I have included Zoubin's specialized MFA code (with his permission) +with the toolbox, so you can check that BNT gives the same results: +see 'BNT/examples/static/mfa1.m'. + +

+Independent Factor Analysis (IFA) generalizes FA by allowing a +non-Gaussian prior on each component of X. +(Note that we can approximate a non-Gaussian prior using a mixture of +Gaussians.) +This means that the likelihood function is no longer rotationally +invariant, so we can uniquely identify W and the hidden +sources X. +IFA also allows a non-diagonal Psi (i.e. correlations between the components of Y). +We recover classical Independent Components Analysis (ICA) +in the Psi -> 0 limit, and by assuming that |X|=|Y|, so that the +weight matrix W is square and invertible. +For details, see +

+ + + +

Mixtures of experts

+ +As an example of the use of the softmax function, +we introduce the Mixture of Experts model. + +As before, +circles denote continuous-valued nodes, +squares denote discrete nodes, clear +means hidden, and shaded means observed. +

+

+ + +
+ +
+
+

+X is the observed +input, Y is the output, and +the Q nodes are hidden "gating" nodes, which select the appropriate +set of parameters for Y. During training, Y is assumed observed, +but for testing, the goal is to predict Y given X. +Note that this is a conditional density model, so we don't +associate any parameters with X. +Hence X's CPD will be a root CPD, which is a way of modelling +exogenous nodes. +If the output is a continuous-valued quantity, +we assume the "experts" are linear-regression units, +and set Y's CPD to linear-Gaussian. +If the output is discrete, we set Y's CPD to a softmax function. +The Q CPDs will always be softmax functions. + +

+As a concrete example, consider the mixture of experts model where X and Y are +scalars, and Q is binary. +This is just piecewise linear regression, where +we have two line segments, i.e., +

+ +

+We can create this model with random parameters as follows. +(This code is bundled in BNT/examples/static/mixexp2.m.) +

+X = 1;
+Q = 2;
+Y = 3;
+dag = zeros(3,3);
+dag(X,[Q Y]) = 1
+dag(Q,Y) = 1;
+ns = [1 2 1]; % make X and Y scalars, and have 2 experts
+onodes = [1 3];
+bnet = mk_bnet(dag, ns, 'discrete', 2, 'observed', onodes);
+
+rand('state', 0);
+randn('state', 0);
+bnet.CPD{1} = root_CPD(bnet, 1);
+bnet.CPD{2} = softmax_CPD(bnet, 2);
+bnet.CPD{3} = gaussian_CPD(bnet, 3);
+
+Now let us fit this model using
EM. +First we load the data (1000 training cases) and plot them. +

+

+data = load('/examples/static/Misc/mixexp_data.txt', '-ascii');        
+plot(data(:,1), data(:,2), '.');
+
+

+

+ +
+

+This is what the model looks like before training. +(Thanks to Thomas Hofman for writing this plotting routine.) +

+

+ +
+

+Now let's train the model, and plot the final performance. +(We will discuss how to train models in more detail below.) +

+

+ncases = size(data, 1); % each row of data is a training case
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data'); % each column of cases is a training case
+engine = jtree_inf_engine(bnet);
+max_iter = 20;
+[bnet2, LLtrace] = learn_params_em(engine, cases, max_iter);
+
+(We specify which nodes will be observed when we create the engine. +Hence BNT knows that the hidden nodes are all discrete. +For complex models, this can lead to a significant speedup.) +Below we show what the model looks like after 16 iterations of EM +(with 100 IRLS iterations per M step), when it converged +using the default convergence tolerance (that the +fractional change in the log-likelihood be less than 1e-3). +Before learning, the log-likelihood was +-322.927442; afterwards, it was -13.728778. +

+

+ +
+(See BNT/examples/static/mixexp2.m for details of the code.) + + + +

Hierarchical mixtures of experts

+ +A hierarchical mixture of experts (HME) extends the mixture of experts +model by having more than one hidden node. A two-level example is shown below, along +with its more traditional representation as a neural network. +This is like a (balanced) probabilistic decision tree of height 2. +

+

+ +
+

+Pierpaolo Brutti +has written an extensive set of routines for HMEs, +which are bundled with BNT: see the examples/static/HME directory. +These routines allow you to choose the number of hidden (gating) +layers, and the form of the experts (softmax or MLP). +See the file hmemenu, which provides a demo. +For example, the figure below shows the decision boundaries learned +for a ternary classification problem, using a 2 level HME with softmax +gates and softmax experts; the training set is on the left, the +testing set on the right. +

+

+ + +
+

+ + +

+For more details, see the following: +

+ + +

QMR

+ +Bayes nets originally arose out of an attempt to add probabilities to +expert systems, and this is still the most common use for BNs. +A famous example is +QMR-DT, a decision-theoretic reformulation of the Quick Medical +Reference (QMR) model. +

+

+ +
+Here, the top layer represents hidden disease nodes, and the bottom +layer represents observed symptom nodes. +The goal is to infer the posterior probability of each disease given +all the symptoms (which can be present, absent or unknown). +Each node in the top layer has a Bernoulli prior (with a low prior +probability that the disease is present). +Since each node in the bottom layer has a high fan-in, we use a +noisy-OR parameterization; each disease has an independent chance of +causing each symptom. +The real QMR-DT model is copyright, but +we can create a random QMR-like model as follows. +
+function bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+% MK_QMR_BNET Make a QMR model
+% bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+%
+% G(i,j) = 1 iff there is an arc from disease i to finding j
+% inhibit(i,j) = inhibition probability on i->j arc
+% leak(j) = inhibition prob. on leak->j arc
+% prior(i) = prob. disease i is on
+
+[Ndiseases Nfindings] = size(inhibit);
+N = Ndiseases + Nfindings;
+finding_node = Ndiseases+1:N;
+ns = 2*ones(1,N);
+dag = zeros(N,N);
+dag(1:Ndiseases, finding_node) = G;
+bnet = mk_bnet(dag, ns, 'observed', finding_node);
+
+for d=1:Ndiseases
+  CPT = [1-prior(d) prior(d)];
+  bnet.CPD{d} = tabular_CPD(bnet, d, CPT');
+end
+
+for i=1:Nfindings
+  fnode = finding_node(i);
+  ps = parents(G, i);
+  bnet.CPD{fnode} = noisyor_CPD(bnet, fnode, leak(i), inhibit(ps, i));
+end
+
+In the file BNT/examples/static/qmr1, we create a random bipartite +graph G, with 5 diseases and 10 findings, and random parameters. +(In general, to create a random dag, use 'mk_random_dag'.) +We can visualize the resulting graph structure using +the methods discussed
below, with the +following results: +

+ + +

+Now let us put some random evidence on all the leaves except the very +first and very last, and compute the disease posteriors. +

+pos = 2:floor(Nfindings/2);
+neg = (pos(end)+1):(Nfindings-1);
+onodes = myunion(pos, neg);
+evidence = cell(1, N);
+evidence(findings(pos)) = num2cell(repmat(2, 1, length(pos)));
+evidence(findings(neg)) = num2cell(repmat(1, 1, length(neg)));
+
+engine = jtree_inf_engine(bnet);
+[engine, ll] = enter_evidence(engine, evidence);
+post = zeros(1, Ndiseases);
+for i=diseases(:)'
+  m = marginal_nodes(engine, i);
+  post(i) = m.T(2);
+end
+
+Junction tree can be quite slow on large QMR models. +Fortunately, it is possible to exploit properties of the noisy-OR +function to speed up exact inference using an algorithm called +quickscore, discussed below. + + + + + +

Conditional Gaussian models

+ +A conditional Gaussian model is one in which, conditioned on all the discrete +nodes, the distribution over the remaining (continuous) nodes is +multivariate Gaussian. This means we can have arcs from discrete (D) +to continuous (C) nodes, but not vice versa. +(We are allowed C->D arcs if the continuous nodes are observed, +as in the mixture of experts model, +since this distribution can be represented with a discrete potential.) +

+We now give an example of a CG model, from +the paper "Propagation of Probabilities, Means amd +Variances in Mixed Graphical Association Models", Steffen Lauritzen, +JASA 87(420):1098--1108, 1992 (reprinted in the book "Probabilistic Networks and Expert +Systems", R. G. Cowell, A. P. Dawid, S. L. Lauritzen and +D. J. Spiegelhalter, Springer, 1999.) + +

Specifying the graph

+ +Consider the model of waste emissions from an incinerator plant shown below. +We follow the standard convention that shaded nodes are observed, +clear nodes are hidden. +We also use the non-standard convention that +square nodes are discrete (tabular) and round nodes are +Gaussian. + +

+

+ +
+

+ +We can create this model as follows. +

+F = 1; W = 2; E = 3; B = 4; C = 5; D = 6; Min = 7; Mout = 8; L = 9;
+n = 9;
+
+dag = zeros(n);
+dag(F,E)=1;
+dag(W,[E Min D]) = 1;
+dag(E,D)=1;
+dag(B,[C D])=1;
+dag(D,[L Mout])=1;
+dag(Min,Mout)=1;
+
+% node sizes - all cts nodes are scalar, all discrete nodes are binary
+ns = ones(1, n);
+dnodes = [F W B];
+cnodes = mysetdiff(1:n, dnodes);
+ns(dnodes) = 2;
+
+bnet = mk_bnet(dag, ns, 'discrete', dnodes);
+
+'dnodes' is a list of the discrete nodes; 'cnodes' is the continuous +nodes. 'mysetdiff' is a faster version of the built-in 'setdiff'. +

+ + +

Specifying the parameters

+ +The parameters of the discrete nodes can be specified as follows. +
+bnet.CPD{B} = tabular_CPD(bnet, B, 'CPT', [0.85 0.15]); % 1=stable, 2=unstable
+bnet.CPD{F} = tabular_CPD(bnet, F, 'CPT', [0.95 0.05]); % 1=intact, 2=defect
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [2/7 5/7]); % 1=industrial, 2=household
+
+ +

+The parameters of the continuous nodes can be specified as follows. +

+bnet.CPD{E} = gaussian_CPD(bnet, E, 'mean', [-3.9 -0.4 -3.2 -0.5], ...
+			   'cov', [0.00002 0.0001 0.00002 0.0001]);
+bnet.CPD{D} = gaussian_CPD(bnet, D, 'mean', [6.5 6.0 7.5 7.0], ...
+			   'cov', [0.03 0.04 0.1 0.1], 'weights', [1 1 1 1]);
+bnet.CPD{C} = gaussian_CPD(bnet, C, 'mean', [-2 -1], 'cov', [0.1 0.3]);
+bnet.CPD{L} = gaussian_CPD(bnet, L, 'mean', 3, 'cov', 0.25, 'weights', -0.5);
+bnet.CPD{Min} = gaussian_CPD(bnet, Min, 'mean', [0.5 -0.5], 'cov', [0.01 0.005]);
+bnet.CPD{Mout} = gaussian_CPD(bnet, Mout, 'mean', 0, 'cov', 0.002, 'weights', [1 1]);
+
+ + +

Inference

+ + +First we compute the unconditional marginals. +
+engine = jtree_inf_engine(bnet);
+evidence = cell(1,n);
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, E);
+
+ +'marg' is a structure that contains the fields 'mu' and 'Sigma', which +contain the mean and (co)variance of the marginal on E. +In this case, they are both scalars. +Let us check they match the published figures (to 2 decimal places). + +
+tol = 1e-2;
+assert(approxeq(marg.mu, -3.25, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.709, tol));
+
+We can compute the other posteriors similarly. +Now let us add some evidence. +
+evidence = cell(1,n);
+evidence{W} = 1; % industrial
+evidence{L} = 1.1;
+evidence{C} = -0.9;
+[engine, ll] = enter_evidence(engine, evidence);
+
+Now we find +
+marg = marginal_nodes(engine, E);
+assert(approxeq(marg.mu, -3.8983, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.0763, tol));
+
+ + +We can also compute the joint probability on a set of nodes. +For example, P(D, Mout | evidence) is a 2D Gaussian: +
+marg = marginal_nodes(engine, [D Mout])
+marg = 
+    domain: [6 8]
+        mu: [2x1 double]
+     Sigma: [2x2 double]
+         T: 1.0000
+
+The mean is +
+marg.mu
+ans =
+    3.6077
+    4.1077
+
+and the covariance matrix is +
+marg.Sigma
+ans =
+    0.1062    0.1062
+    0.1062    0.1182
+
+It is easy to visualize this posterior using standard Matlab plotting +functions, e.g., +
+gaussplot2d(marg.mu, marg.Sigma);
+
+produces the following picture. + +

+

+ +
+

+ + +The T field indicates that the mixing weight of this Gaussian +component is 1.0. +If the joint contains discrete and continuous variables, the result +will be a mixture of Gaussians, e.g., +

+marg = marginal_nodes(engine, [F E])
+    domain: [1 3]
+        mu: [-3.9000 -0.4003]
+     Sigma: [1x1x2 double]
+         T: [0.9995 4.7373e-04]
+
+The interpretation is +Sigma(i,j,k) = Cov[ E(i) E(j) | F=k ]. +In this case, E is a scalar, so i=j=1; k specifies the mixture component. +

+We saw in the sprinkler network that BNT sets the effective size of +observed discrete nodes to 1, since they only have one legal value. +For continuous nodes, BNT sets their length to 0, +since they have been reduced to a point. +For example, +

+marg = marginal_nodes(engine, [B C])
+    domain: [4 5]
+        mu: []
+     Sigma: []
+         T: [0.0123 0.9877]
+
+It is simple to post-process the output of marginal_nodes. +For example, the file BNT/examples/static/cg1 sets the mu term of +observed nodes to their observed value, and the Sigma term to 0 (since +observed nodes have no variance). + +

+Note that the implemented version of the junction tree is numerically +unstable when using CG potentials +(which is why, in the example above, we only required our answers to agree with +the published ones to 2dp.) +This is why you might want to use stab_cond_gauss_inf_engine, +implemented by Shan Huang. This is described in + +

    +
  • "Stable Local Computation with Conditional Gaussian Distributions", +S. Lauritzen and F. Jensen, Tech Report R-99-2014, +Dept. Math. Sciences, Allborg Univ., 1999. +
+ +However, even the numerically stable version +can be computationally intractable if there are many hidden discrete +nodes, because the number of mixture components grows exponentially e.g., in a +
switching linear dynamical system. +In general, one must resort to approximate inference techniques: see +the discussion on inference engines below. + + +

Other hybrid models

+ +When we have C->D arcs, where C is hidden, we need to use +approximate inference. +One approach (not implemented in BNT) is described in + +Of course, one can always use sampling methods +for approximate inference in such models. + + + +

Parameter Learning

+ +The parameter estimation routines in BNT can be classified into 4 +types, depending on whether the goal is to compute +a full (Bayesian) posterior over the parameters or just a point +estimate (e.g., Maximum Likelihood or Maximum A Posteriori), +and whether all the variables are fully observed or there is missing +data/ hidden variables (partial observability). +

+ + + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_paramslearn_params_em
Bayesbayes_update_paramsnot yet supported
+ + +

Loading data from a file

+ +To load numeric data from an ASCII text file called 'dat.txt', where each row is a +case and columns are separated by white-space, such as +
+011979 1626.5 0.0
+021979 1367.0 0.0
+...
+
+you can use +
+data = load('dat.txt');
+
+or +
+load dat.txt -ascii
+
+In the latter case, the data is stored in a variable called 'dat' (the +filename minus the extension). +Alternatively, suppose the data is stored in a .csv file (has commas +separating the columns, and contains a header line), such as +
+header info goes here
+ORD,011979,1626.5,0.0
+DSM,021979,1367.0,0.0
+...
+
+You can load this using +
+[a,b,c,d] = textread('dat.txt', '%s %d %f %f', 'delimiter', ',', 'headerlines', 1);
+
+If your file is not in either of these formats, you can either use Perl to convert +it to this format, or use the Matlab scanf command. +Type + +help iofun + +for more information on Matlab's file functions. + +

+BNT learning routines require data to be stored in a cell array. +data{i,m} is the value of node i in case (example) m, i.e., each +column is a case. +If node i is not observed in case m (missing value), set +data{i,m} = []. +(Not all the learning routines can cope with such missing values, however.) +In the special case that all the nodes are observed and are +scalar-valued (as opposed to vector-valued), the data can be +stored in a matrix (as opposed to a cell-array). +

+Suppose, as in the mixture of experts example, +that we have 3 nodes in the graph: X(1) is the observed input, X(3) is +the observed output, and X(2) is a hidden (gating) node. We can +create the dataset as follows. +

+data = load('dat.txt');
+ncases = size(data, 1);
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data');
+
+Notice how we transposed the data, to convert rows into columns. +Also, cases{2,m} = [] for all m, since X(2) is always hidden. + + +

Maximum likelihood parameter estimation from complete data

+ +As an example, let's generate some data from the sprinkler network, randomize the parameters, +and then try to recover the original model. +First we create some training data using forwards sampling. +
+samples = cell(N, nsamples);
+for i=1:nsamples
+  samples(:,i) = sample_bnet(bnet);
+end
+
+samples{j,i} contains the value of the j'th node in case i. +sample_bnet returns a cell array because, in general, each node might +be a vector of different length. +In this case, all nodes are discrete (and hence scalars), so we +could have used a regular array instead (which can be quicker): +
+data = cell2num(samples);
+
+Now we create a network with random parameters. +(The initial values of bnet2 don't matter in this case, since we can find the +globally optimal MLE independent of where we start.) +
+% Make a tabula rasa
+bnet2 = mk_bnet(dag, node_sizes);
+seed = 0;
+rand('state', seed);
+bnet2.CPD{C} = tabular_CPD(bnet2, C);
+bnet2.CPD{R} = tabular_CPD(bnet2, R);
+bnet2.CPD{S} = tabular_CPD(bnet2, S);
+bnet2.CPD{W} = tabular_CPD(bnet2, W);
+
+Finally, we find the maximum likelihood estimates of the parameters. +
+bnet3 = learn_params(bnet2, samples);
+
+To view the learned parameters, we use a little Matlab hackery. +
+CPT3 = cell(1,N);
+for i=1:N
+  s=struct(bnet3.CPD{i});  % violate object privacy
+  CPT3{i}=s.CPT;
+end
+
+Here are the parameters learned for node 4. +
+dispcpt(CPT3{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.2000 0.8000 
+1 2 : 0.2273 0.7727 
+2 2 : 0.0000 1.0000 
+
+So we see that the learned parameters are fairly close to the "true" +ones, which we display below. +
+dispcpt(CPT{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.1000 0.9000 
+1 2 : 0.1000 0.9000 
+2 2 : 0.0100 0.9900 
+
+We can get better results by using a larger training set, or using +informative priors (see
below). + + + +

Parameter priors

+ +Currently, only tabular CPDs can have priors on their parameters. +The conjugate prior for a multinomial is the Dirichlet. +(For binary random variables, the multinomial is the same as the +Bernoulli, and the Dirichlet is the same as the Beta.) +

+The Dirichlet has a simple interpretation in terms of pseudo counts. +If we let N_ijk = the num. times X_i=k and Pa_i=j occurs in the +training set, where Pa_i are the parents of X_i, +then the maximum likelihood (ML) estimate is +T_ijk = N_ijk / N_ij (where N_ij = sum_k' N_ijk'), which will be 0 if N_ijk=0. +To prevent us from declaring that (X_i=k, Pa_i=j) is impossible just because this +event was not seen in the training set, +we can pretend we saw value k of X_i, for each value j of Pa_i some number (alpha_ijk) +of times in the past. +The MAP (maximum a posterior) estimate is then +

+T_ijk = (N_ijk + alpha_ijk) / (N_ij + alpha_ij)
+
+and is never 0 if all alpha_ijk > 0. +For example, consider the network A->B, where A is binary and B has 3 +values. +A uniform prior for B has the form +
+    B=1 B=2 B=3
+A=1 1   1   1
+A=2 1   1   1
+
+which can be created using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif');
+
+This prior does not satisfy the likelihood equivalence principle, +which says that
Markov equivalent models +should have the same marginal likelihood. +A prior that does satisfy this principle is shown below. +Heckerman (1995) calls this the +BDeu prior (likelihood equivalent uniform Bayesian Dirichlet). +
+    B=1 B=2 B=3
+A=1 1/6 1/6 1/6
+A=2 1/6 1/6 1/6
+
+where we put N/(q*r) in each bin; N is the equivalent sample size, +r=|A|, q = |B|. +This can be created as follows +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'BDeu');
+
+Here, 1 is the equivalent sample size, and is the strength of the +prior. +You can change this using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', ...
+   'BDeu', 'dirichlet_weight', 10);
+
+ + + + +

(Sequential) Bayesian parameter updating from complete data

+ +If we use conjugate priors and have fully observed data, we can +compute the posterior over the parameters in batch form as follows. +
+cases = sample_bnet(bnet, nsamples);
+bnet = bayes_update_params(bnet, cases);  
+LL = log_marg_lik_complete(bnet, cases);   
+
+bnet.CPD{i}.prior contains the new Dirichlet pseudocounts, +and bnet.CPD{i}.CPT is set to the mean of the posterior (the +normalized counts). +(Hence if the initial pseudo counts are 0, +bayes_update_params and learn_params will give the +same result.) + + + + +

+We can compute the same result sequentially (on-line) as follows. +

+LL = 0;
+for m=1:nsamples
+  LL = LL + log_marg_lik_complete(bnet, cases(:,m));
+  bnet = bayes_update_params(bnet, cases(:,m));
+end
+
+ +The file BNT/examples/static/StructLearn/model_select1 has an example of +sequential model selection which uses the same idea. +We generate data from the model A->B +and compute the posterior prob of all 3 dags on 2 nodes: + (1) A B, (2) A <- B , (3) A -> B +Models 2 and 3 are
Markov equivalent, and therefore indistinguishable from +observational data alone, so we expect their posteriors to be the same +(assuming a prior which satisfies likelihood equivalence). +If we use random parameters, the "true" model only gets a higher posterior after 2000 trials! +However, if we make B a noisy NOT gate, the true model "wins" after 12 +trials, as shown below (red = model 1, blue/green (superimposed) +represents models 2/3). +

+ +

+The use of marginal likelihood for model selection is discussed in +greater detail in the +section on structure learning. + + + + +

Maximum likelihood parameter estimation with missing values

+ +Now we consider learning when some values are not observed. +Let us randomly hide half the values generated from the water +sprinkler example. +
+samples2 = samples;
+hide = rand(N, nsamples) > 0.5;
+[I,J]=find(hide);
+for k=1:length(I)
+  samples2{I(k), J(k)} = [];
+end
+
+samples2{i,l} is the value of node i in training case l, or [] if unobserved. +

+Now we will compute the MLEs using the EM algorithm. +We need to use an inference algorithm to compute the expected +sufficient statistics in the E step; the M (maximization) step is as +above. +

+engine2 = jtree_inf_engine(bnet2);
+max_iter = 10;
+[bnet4, LLtrace] = learn_params_em(engine2, samples2, max_iter);
+
+LLtrace(i) is the log-likelihood at iteration i. We can plot this as +follows: +
+plot(LLtrace, 'x-')
+
+Let's display the results after 10 iterations of EM. +
+celldisp(CPT4)
+CPT4{1} =
+    0.6616
+    0.3384
+CPT4{2} =
+    0.6510    0.3490
+    0.8751    0.1249
+CPT4{3} =
+    0.8366    0.1634
+    0.0197    0.9803
+CPT4{4} =
+(:,:,1) =
+    0.8276    0.0546
+    0.5452    0.1658
+(:,:,2) =
+    0.1724    0.9454
+    0.4548    0.8342
+
+We can get improved performance by using one or more of the following +methods: +
    +
  • Increasing the size of the training set. +
  • Decreasing the amount of hidden data. +
  • Running EM for longer. +
  • Using informative priors. +
  • Initialising EM from multiple starting points. +
+ +

Numerical problems when fitting +Gaussians using EM

+ +When fitting a Gaussian CPD using EM, you +might encounter some numerical +problems. See here +for a discussion of this in the context of HMMs. + + + +

Parameter tying

+ +In networks with repeated structure (e.g., chains and grids), it is +common to assume that the parameters are the same at every node. This +is called parameter tying, and reduces the amount of data needed for +learning. +

+When we have tied parameters, there is no longer a one-to-one +correspondence between nodes and CPDs. +Rather, each CPD species the parameters for a whole equivalence class +of nodes. +It is easiest to see this by example. +Consider the following hidden Markov +model (HMM) +

+ +

+ +When HMMs are used for semi-infinite processes like speech recognition, +we assume the transition matrix +P(H(t+1)|H(t)) is the same for all t; this is called a time-invariant +or homogenous Markov chain. +Hence hidden nodes 2, 3, ..., T +are all in the same equivalence class, say class Hclass. +Similarly, the observation matrix P(O(t)|H(t)) is assumed to be the +same for all t, so the observed nodes are all in the same equivalence +class, say class Oclass. +Finally, the prior term P(H(1)) is in a class all by itself, say class +H1class. +This is illustrated below, where we explicitly represent the +parameters as random variables (dotted nodes). +

+ +

+In BNT, we cannot represent parameters as random variables (nodes). +Instead, we "hide" the +parameters inside one CPD for each equivalence class, +and then specify that the other CPDs should share these parameters, as +follows. +

+hnodes = 1:2:2*T;
+onodes = 2:2:2*T;
+H1class = 1; Hclass = 2; Oclass = 3;
+eclass = ones(1,N);
+eclass(hnodes(2:end)) = Hclass;
+eclass(hnodes(1)) = H1class;
+eclass(onodes) = Oclass;
+% create dag and ns in the usual way
+bnet = mk_bnet(dag, ns, 'discrete', dnodes, 'equiv_class', eclass);
+
+Finally, we define the parameters for each equivalence class: +
+bnet.CPD{H1class} = tabular_CPD(bnet, hnodes(1)); % prior
+bnet.CPD{Hclass} = tabular_CPD(bnet, hnodes(2)); % transition matrix
+if cts_obs
+  bnet.CPD{Oclass} = gaussian_CPD(bnet, onodes(1));
+else
+  bnet.CPD{Oclass} = tabular_CPD(bnet, onodes(1));
+end
+
+In general, if bnet.CPD{e} = xxx_CPD(bnet, j), then j should be a +member of e's equivalence class; that is, it is not always the case +that e == j. You can use bnet.rep_of_eclass(e) to return the +representative of equivalence class e. +BNT will look up the parents of j to determine the size +of the CPT to use. It assumes that this is the same for all members of +the equivalence class. +Click here for +a more complex example of parameter tying. +

+Note: +Normally one would define an HMM as a +Dynamic Bayes Net +(see the function BNT/examples/dynamic/mk_chmm.m). +However, one can define an HMM as a static BN using the function +BNT/examples/static/Models/mk_hmm_bnet.m. + + + +

Structure learning

+ +Update (9/29/03): +Phillipe LeRay is developing some additional structure learning code +on top of BNT. Click here +for details. + +

+ +There are two very different approaches to structure learning: +constraint-based and search-and-score. +In the constraint-based approach, +we start with a fully connected graph, and remove edges if certain +conditional independencies are measured in the data. +This has the disadvantage that repeated independence tests lose +statistical power. +

+In the more popular search-and-score approach, +we perform a search through the space of possible DAGs, and either +return the best one found (a point estimate), or return a sample of the +models found (an approximation to the Bayesian posterior). +

+Unfortunately, the number of DAGs as a function of the number of +nodes, G(n), is super-exponential in n. +A closed form formula for G(n) is not known, but the first few values +are shown below (from Cooper, 1999). + + + + + + + + + + + + + +
n G(n)
1 1
2 3
3 25
4 543
5 29,281
6 3,781,503
7 1.1 x 10^9
8 7.8 x 10^11
9 1.2 x 10^15
10 4.2 x 10^18
+ +Since the number of DAGs is super-exponential in the number of nodes, +we cannot exhaustively search the space, so we either use a local +search algorithm (e.g., greedy hill climbining, perhaps with multiple +restarts) or a global search algorithm (e.g., Markov Chain Monte +Carlo). +

+If we know a total ordering on the nodes, +finding the best structure amounts to picking the best set of parents +for each node independently. +This is what the K2 algorithm does. +If the ordering is unknown, we can search over orderings, +which is more efficient than searching over DAGs (Koller and Friedman, 2000). +

+In addition to the search procedure, we must specify the scoring +function. There are two popular choices. The Bayesian score integrates +out the parameters, i.e., it is the marginal likelihood of the model. +The BIC (Bayesian Information Criterion) is defined as +log P(D|theta_hat) - 0.5*d*log(N), where D is the data, theta_hat is +the ML estimate of the parameters, d is the number of parameters, and +N is the number of data cases. +The BIC method has the advantage of not requiring a prior. +

+BIC can be derived as a large sample +approximation to the marginal likelihood. +(It is also equal to the Minimum Description Length of a model.) +However, in practice, the sample size does not need to be very large +for the approximation to be good. +For example, in the figure below, we plot the ratio between the log marginal likelihood +and the BIC score against data-set size; we see that the ratio rapidly +approaches 1, especially for non-informative priors. +(This plot was generated by the file BNT/examples/static/bic1.m. It +uses the water sprinkler BN with BDeu Dirichlet priors with different +equivalent sample sizes.) + +

+

+ +
+

+ +

+As with parameter learning, handling missing data/ hidden variables is +much harder than the fully observed case. +The structure learning routines in BNT can therefore be classified into 4 +types, analogously to the parameter learning case. +

+ + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_struct_K2
+ +
not yet supported
Bayeslearn_struct_mcmcnot yet supported
+ + +

Markov equivalence

+ +If two DAGs encode the same conditional independencies, they are +called Markov equivalent. The set of all DAGs can be paritioned into +Markov equivalence classes. Graphs within the same class can +have +the direction of some of their arcs reversed without changing any of +the CI relationships. +Each class can be represented by a PDAG +(partially directed acyclic graph) called an essential graph or +pattern. This specifies which edges must be oriented in a certain +direction, and which may be reversed. + +

+When learning graph structure from observational data, +the best one can hope to do is to identify the model up to Markov +equivalence. To distinguish amongst graphs within the same equivalence +class, one needs interventional data: see the discussion on active learning below. + + + +

Exhaustive search

+ +The brute-force approach to structure learning is to enumerate all +possible DAGs, and score each one. This provides a "gold standard" +with which to compare other algorithms. We can do this as follows. +
+dags = mk_all_dags(N);
+score = score_dags(data, ns, dags);
+
+where data(i,m) is the value of node i in case m, +and ns(i) is the size of node i. +If the DAGs have a lot of families in common, we can cache the sufficient statistics, +making this potentially more efficient than scoring the DAGs one at a time. +(Caching is not currently implemented, however.) +

+By default, we use the Bayesian scoring metric, and assume CPDs are +represented by tables with BDeu(1) priors. +We can override these defaults as follows. +If we want to use uniform priors, we can say +

+params = cell(1,N);
+for i=1:N
+  params{i} = {'prior', 'unif'};
+end
+score = score_dags(data, ns, dags, 'params', params);
+
+params{i} is a cell-array, containing optional arguments that are +passed to the constructor for CPD i. +

+Now suppose we want to use different node types, e.g., +Suppose nodes 1 and 2 are Gaussian, and nodes 3 and 4 softmax (both +these CPDs can support discrete and continuous parents, which is +necessary since all other nodes will be considered as parents). +The Bayesian scoring metric currently only works for tabular CPDs, so +we will use BIC: +

+score = score_dags(data, ns, dags, 'discrete', [3 4], 'params', [], 
+    'type', {'gaussian', 'gaussian', 'softmax', softmax'}, 'scoring_fn', 'bic')
+
+In practice, one can't enumerate all possible DAGs for N > 5, +but one can evaluate any reasonably-sized set of hypotheses in this +way (e.g., nearest neighbors of your current best guess). +Think of this as "computer assisted model refinement" as opposed to de +novo learning. + + +

K2

+ +The K2 algorithm (Cooper and Herskovits, 1992) is a greedy search algorithm that works as follows. +Initially each node has no parents. It then adds incrementally that parent whose addition most +increases the score of the resulting structure. When the addition of no single +parent can increase the score, it stops adding parents to the node. +Since we are using a fixed ordering, we do not need to check for +cycles, and can choose the parents for each node independently. +

+The original paper used the Bayesian scoring +metric with tabular CPDs and Dirichlet priors. +BNT generalizes this to allow any kind of CPD, and either the Bayesian +scoring metric or BIC, as in the example above. +In addition, you can specify +an optional upper bound on the number of parents for each node. +The file BNT/examples/static/k2demo1.m gives an example of how to use K2. +We use the water sprinkler network and sample 100 cases from it as before. +Then we see how much data it takes to recover the generating structure: +

+order = [C S R W];
+max_fan_in = 2;
+sz = 5:5:100;
+for i=1:length(sz)
+  dag2 = learn_struct_K2(data(:,1:sz(i)), node_sizes, order, 'max_fan_in', max_fan_in);
+  correct(i) = isequal(dag, dag2);
+end
+
+Here are the results. +
+correct =
+  Columns 1 through 12 
+     0     0     0     0     0     0     0     1     0     1     1     1
+  Columns 13 through 20 
+     1     1     1     1     1     1     1     1
+
+So we see it takes about sz(10)=50 cases. (BIC behaves similarly, +showing that the prior doesn't matter too much.) +In general, we cannot hope to recover the "true" generating structure, +only one that is in its Markov equivalence +class. + + +

Hill-climbing

+ +Hill-climbing starts at a specific point in space, +considers all nearest neighbors, and moves to the neighbor +that has the highest score; if no neighbors have higher +score than the current point (i.e., we have reached a local maximum), +the algorithm stops. One can then restart in another part of the space. +

+A common definition of "neighbor" is all graphs that can be +generated from the current graph by adding, deleting or reversing a +single arc, subject to the acyclicity constraint. +Other neighborhoods are possible: see + +Optimal Structure Identification with Greedy Search, Max +Chickering, JMLR 2002. + + + + +

MCMC

+ +We can use a Markov Chain Monte Carlo (MCMC) algorithm called +Metropolis-Hastings (MH) to search the space of all +DAGs. +The standard proposal distribution is to consider moving to all +nearest neighbors in the sense defined above. +

+The function can be called +as in the following example. +

+[sampled_graphs, accept_ratio] = learn_struct_mcmc(data, ns, 'nsamples', 100, 'burnin', 10);
+
+We can convert our set of sampled graphs to a histogram +(empirical posterior over all the DAGs) thus +
+all_dags = mk_all_dags(N);
+mcmc_post = mcmc_sample_to_hist(sampled_graphs, all_dags);
+
+To see how well this performs, let us compute the exact posterior exhaustively. +

+

+score = score_dags(data, ns, all_dags);
+post = normalise(exp(score)); % assuming uniform structural prior
+
+We plot the results below. +(The data set was 100 samples drawn from a random 4 node bnet; see the +file BNT/examples/static/mcmc1.) +
+subplot(2,1,1)
+bar(post)
+subplot(2,1,2)
+bar(mcmc_post)
+
+ +

+We can also plot the acceptance ratio versus number of MCMC steps, +as a crude convergence diagnostic. +

+clf
+plot(accept_ratio)
+
+ +

+Better convergence diagnostics can be found +here +

+Even though the number of samples needed by MCMC is theoretically +polynomial (not exponential) in the dimensionality of the search space, in practice it has been +found that MCMC does not converge in reasonable time for graphs with +more than about 10 nodes. +

+ +Dirk Husmeier has extended MCMC model selection to DBNs. + + +

Active structure learning

+ +As was mentioned above, +one can only learn a DAG up to Markov equivalence, even given infinite data. +If one is interested in learning the structure of a causal network, +one needs interventional data. +(By "intervention" we mean forcing a node to take on a specific value, +thereby effectively severing its incoming arcs.) +

+Most of the scoring functions accept an optional argument +that specifies whether a node was observed to have a certain value, or +was forced to have that value: we set clamped(i,m)=1 if node i was +forced in training case m. e.g., see the file +BNT/examples/static/cooper_yoo. +

+An interesting question is to decide which interventions to perform +(c.f., design of experiments). For details, see the following tech +report +

+ + +

Structural EM

+ +Computing the Bayesian score when there is partial observability is +computationally challenging, because the parameter posterior becomes +multimodal (the hidden nodes induce a mixture distribution). +One therefore needs to use approximations such as BIC. +Unfortunately, search algorithms are still expensive, because we need +to run EM at each step to compute the MLE, which is needed to compute +the score of each model. An alternative approach is +to do the local search steps inside of the M step of EM, which is more +efficient since the data has been "filled in" - this is +called the structural EM algorithm (Friedman 1997), and provably +converges to a local maximum of the BIC score. +

+Wei Hu has implemented SEM for discrete nodes. +You can download his package from +here. +Please address all questions about this code to +wei.hu@intel.com. +See also Phl's implementation of SEM. + + + + +

Visualizing the graph

+ +You can visualize an arbitrary graph (such as one learned using the +structure learning routines) with Matlab code contributed by +Ali +Taylan Cemgil +from the University of Nijmegen. +For static BNs, call it as follows: +
+draw_graph(bnet.dag);
+
+For example, this is the output produced on a +random QMR-like model: +

+ +

+If you install the excellent graphhviz, an +open-source graph visualization package from AT&T, +you can create a much better visualization as follows +

+graph_to_dot(bnet.dag)
+
+This works by converting the adjacency matrix to a file suitable +for input to graphviz (using the dot format), +then converting the output of graphviz to postscript, and displaying the results using +ghostview. +You can do each of these steps separately for more control, as shown +below. +
+graph_to_dot(bnet.dag, 'filename', 'foo.dot');
+dot -Tps foo.dot -o foo.ps
+ghostview foo.ps &
+
+ +

Constraint-based methods

+ +The IC algorithm (Pearl and Verma, 1991), +and the faster, but otherwise equivalent, PC algorithm (Spirtes, Glymour, and Scheines 1993), +computes many conditional independence tests, +and combines these constraints into a +PDAG to represent the whole +Markov equivalence class. +

+IC*/FCI extend IC/PC to handle latent variables: see below. +(IC stands for inductive causation; PC stands for Peter and Clark, +the first names of Spirtes and Glymour; FCI stands for fast causal +inference. +What we, following Pearl (2000), call IC* was called +IC in the original Pearl and Verma paper.) +For details, see +

+ +

+ +The PC algorithm takes as arguments a function f, the number of nodes N, +the maximum fan in K, and additional arguments A which are passed to f. +The function f(X,Y,S,A) returns 1 if X is conditionally independent of Y given S, and 0 +otherwise. +For example, suppose we cheat by +passing in a CI "oracle" which has access to the true DAG; the oracle +tests for d-separation in this DAG, i.e., +f(X,Y,S) calls dsep(X,Y,S,dag). We can to this as follows. +

+pdag = learn_struct_pdag_pc('dsep', N, max_fan_in, dag);
+
+pdag(i,j) = -1 if there is definitely an i->j arc, +and pdag(i,j) = 1 if there is either an i->j or and i<-j arc. +

+Applied to the sprinkler network, this returns +

+pdag =
+     0     1     1     0
+     1     0     0    -1
+     1     0     0    -1
+     0     0     0     0
+
+So as expected, we see that the V-structure at the W node is uniquely identified, +but the other arcs have ambiguous orientation. +

+We now give an example from p141 (1st edn) / p103 (2nd end) of the SGS +book. +This example concerns the female orgasm. +We are given a correlation matrix C between 7 measured factors (such +as subjective experiences of coital and masturbatory experiences), +derived from 281 samples, and want to learn a causal model of the +data. We will not discuss the merits of this type of work here, but +merely show how to reproduce the results in the SGS book. +Their program, +Tetrad, +makes use of the Fisher Z-test for conditional +independence, so we do the same: +

+max_fan_in = 4;
+nsamples = 281;
+alpha = 0.05;
+pdag = learn_struct_pdag_pc('cond_indep_fisher_z', n, max_fan_in, C, nsamples, alpha);
+
+In this case, the CI test is +
+f(X,Y,S) = cond_indep_fisher_z(X,Y,S,  C,nsamples,alpha)
+
+The results match those of Fig 12a of SGS apart from two edge +differences; presumably this is due to rounding error (although it +could be a bug, either in BNT or in Tetrad). +This example can be found in the file BNT/examples/static/pc2.m. + +

+ +The IC* algorithm (Pearl and Verma, 1991), +and the faster FCI algorithm (Spirtes, Glymour, and Scheines 1993), +are like the IC/PC algorithm, except that they can detect the presence +of latent variables. +See the file learn_struct_pdag_ic_star written by Tamar +Kushnir. The output is a matrix P, defined as follows +(see Pearl (2000), p52 for details): +

+% P(i,j) = -1 if there is either a latent variable L such that i <-L->j OR there is a directed edge from i->j.
+% P(i,j) = -2 if there is a marked directed i-*>j edge.
+% P(i,j) = P(j,i) = 1 if there is and undirected edge i--j
+% P(i,j) = P(j,i) = 2 if there is a latent variable L such that i<-L->j.
+
+ + +

Philippe Leray's structure learning package

+ +Philippe Leray has written a + +structure learning package that uses BNT. + +It currently (Juen 2003) has the following features: +
    +
  • PC with Chi2 statistical test +
  • MWST : Maximum weighted Spanning Tree +
  • Hill Climbing +
  • Greedy Search +
  • Structural EM +
  • hist_ic : optimal Histogram based on IC information criterion +
  • cpdag_to_dag +
  • dag_to_cpdag +
  • ... +
+ + + + + + + + + + + +

Inference engines

+ +Up until now, we have used the junction tree algorithm for inference. +However, sometimes this is too slow, or not even applicable. +In general, there are many inference algorithms each of which make +different tradeoffs between speed, accuracy, complexity and +generality. Furthermore, there might be many implementations of the +same algorithm; for instance, a general purpose, readable version, +and a highly-optimized, specialized one. +To cope with this variety, we treat each inference algorithm as an +object, which we call an inference engine. + +

+An inference engine is an object that contains a bnet and supports the +'enter_evidence' and 'marginal_nodes' methods. The engine constructor +takes the bnet as argument and may do some model-specific processing. +When 'enter_evidence' is called, the engine may do some +evidence-specific processing. Finally, when 'marginal_nodes' is +called, the engine may do some query-specific processing. + +

+The amount of work done when each stage is specified -- structure, +parameters, evidence, and query -- depends on the engine. The cost of +work done early in this sequence can be amortized. On the other hand, +one can make better optimizations if one waits until later in the +sequence. +For example, the parameters might imply +conditional indpendencies that are not evident in the graph structure, +but can nevertheless be exploited; the evidence indicates which nodes +are observed and hence can effectively be disconnected from the +graph; and the query might indicate that large parts of the network +are d-separated from the query nodes. (Since it is not the actual +values of the evidence that matters, just which nodes are observed, +many engines allow you to specify which nodes will be observed when they are constructed, +i.e., before calling 'enter_evidence'. Some engines can still cope if +the actual pattern of evidence is different, e.g., if there is missing +data.) +

+ +Although being maximally lazy (i.e., only doing work when a query is +issued) may seem desirable, +this is not always the most efficient. +For example, +when learning using EM, we need to call marginal_nodes N times, where N is the +number of nodes. Variable elimination would end +up repeating a lot of work +each time marginal_nodes is called, making it inefficient for +learning. The junction tree algorithm, by contrast, uses dynamic +programming to avoid this redundant computation --- it calculates all +marginals in two passes during 'enter_evidence', so calling +'marginal_nodes' takes constant time. +

+We will discuss some of the inference algorithms implemented in BNT +below, and finish with a summary of all +of them. + + + + + + + +

Variable elimination

+ +The variable elimination algorithm, also known as bucket elimination +or peeling, is one of the simplest inference algorithms. +The basic idea is to "push sums inside of products"; this is explained +in more detail +here. +

+The principle of distributing sums over products can be generalized +greatly to apply to any commutative semiring. +This forms the basis of many common algorithms, such as Viterbi +decoding and the Fast Fourier Transform. For details, see + +

+ +

+Choosing an order in which to sum out the variables so as to minimize +computational cost is known to be NP-hard. +The implementation of this algorithm in +var_elim_inf_engine makes no attempt to optimize this +ordering (in contrast, say, to jtree_inf_engine, which uses a +greedy search procedure to find a good ordering). +

+Note: unlike most algorithms, var_elim does all its computational work +inside of marginal_nodes, not inside of +enter_evidence. + + + + +

Global inference methods

+ +The simplest inference algorithm of all is to explicitely construct +the joint distribution over all the nodes, and then to marginalize it. +This is implemented in global_joint_inf_engine. +Since the size of the joint is exponential in the +number of discrete (hidden) nodes, this is not a very practical algorithm. +It is included merely for pedagogical and debugging purposes. +

+Three specialized versions of this algorithm have also been implemented, +corresponding to the cases where all the nodes are discrete (D), all +are Gaussian (G), and some are discrete and some Gaussian (CG). +They are called enumerative_inf_engine, +gaussian_inf_engine, +and cond_gauss_inf_engine respectively. +

+Note: unlike most algorithms, these global inference algorithms do all their computational work +inside of marginal_nodes, not inside of +enter_evidence. + + +

Quickscore

+ +The junction tree algorithm is quite slow on the QMR network, +since the cliques are so big. +One simple trick we can use is to notice that hidden leaves do not +affect the posteriors on the roots, and hence do not need to be +included in the network. +A second trick is to notice that the negative findings can be +"absorbed" into the prior: +see the file +BNT/examples/static/mk_minimal_qmr_bnet for details. +

+ +A much more significant speedup is obtained by exploiting special +properties of the noisy-or node, as done by the quickscore +algorithm. For details, see +

    +
  • Heckerman, "A tractable inference algorithm for diagnosing multiple diseases", UAI 89. +
  • Rish and Dechter, "On the impact of causal independence", UCI +tech report, 1998. +
+ +This has been implemented in BNT as a special-purpose inference +engine, which can be created and used as follows: +
+engine = quickscore_inf_engine(inhibit, leak, prior);
+engine = enter_evidence(engine, pos, neg);
+m = marginal_nodes(engine, i);
+
+ + +

Belief propagation

+ +Even using quickscore, exact inference takes time that is exponential +in the number of positive findings. +Hence for large networks we need to resort to approximate inference techniques. +See for example +
    +
  • T. Jaakkola and M. Jordan, "Variational probabilistic inference and the +QMR-DT network", JAIR 10, 1999. + +
  • K. Murphy, Y. Weiss and M. Jordan, "Loopy belief propagation for approximate inference: an empirical study", + UAI 99. +
+The latter approximation +entails applying Pearl's belief propagation algorithm to a model even +if it has loops (hence the name loopy belief propagation). +Pearl's algorithm, implemented as pearl_inf_engine, gives +exact results when applied to singly-connected graphs +(a.k.a. polytrees, since +the underlying undirected topology is a tree, but a node may have +multiple parents). +To apply this algorithm to a graph with loops, +use pearl_inf_engine. +This can use a centralized or distributed message passing protocol. +You can use it as in the following example. +
+engine = pearl_inf_engine(bnet, 'max_iter', 30);
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, i);
+
+We found that this algorithm often converges, and when it does, often +is very accurate, but it depends on the precise setting of the +parameter values of the network. +(See the file BNT/examples/static/qmr1 to repeat the experiment for yourself.) +Understanding when and why belief propagation converges/ works +is a topic of ongoing research. +

+pearl_inf_engine can exploit special structure in noisy-or +and gmux nodes to compute messages efficiently. +

+belprop_inf_engine is like pearl, but uses potentials to +represent messages. Hence this is slower. +

+belprop_fg_inf_engine is like belprop, +but is designed for factor graphs. + + + +

Sampling

+ +BNT now (Mar '02) has two sampling (Monte Carlo) inference algorithms: + +Note: To generate samples from a network (which is not the same as inference!), +use sample_bnet. + + + +

Summary of inference engines

+ + +The inference engines differ in many ways. Here are +some of the major "axes": +
    +
  • Works for all topologies or makes restrictions? +
  • Works for all node types or makes restrictions? +
  • Exact or approximate inference? +
+ +

+In terms of topology, most engines handle any kind of DAG. +belprop_fg does approximate inference on factor graphs (FG), which +can be used to represent directed, undirected, and mixed (chain) +graphs. +(In the future, we plan to support exact inference on chain graphs.) +quickscore only works on QMR-like models. +

+In terms of node types: algorithms that use potentials can handle +discrete (D), Gaussian (G) or conditional Gaussian (CG) models. +Sampling algorithms can essentially handle any kind of node (distribution). +Other algorithms make more restrictive assumptions in exchange for +speed. +

+Finally, most algorithms are designed to give the exact answer. +The belief propagation algorithms are exact if applied to trees, and +in some other cases. +Sampling is considered approximate, even though, in the limit of an +infinite number of samples, it gives the exact answer. + +

+ +Here is a summary of the properties +of all the engines in BNT which work on static networks. +

+ +
+ + + + + + + + + + + + + + + +
Name +Exact? +Node type? +topology +
belprop + approx + D + DAG +
belprop_fg + approx + D + factor graph +
cond_gauss + exact + CG + DAG +
enumerative + exact + D + DAG +
gaussian + exact + G + DAG +
gibbs + approx + D + DAG +
global_joint + exact + D,G,CG + DAG +
jtree + exact + D,G,CG + DAG +b
likelihood_weighting + approx + any + DAG +
pearl + approx + D,G + DAG +
pearl + exact + D,G + polytree +
quickscore + exact + noisy-or + QMR +
stab_cond_gauss + exact + CG + DAG +
var_elim + exact + D,G,CG + DAG +
+ + + +

Influence diagrams/ decision making

+ +BNT implements an exact algorithm for solving LIMIDs (limited memory +influence diagrams), described in + +LIMIDs explicitely show all information arcs, rather than implicitely +assuming no forgetting. This allows them to model forgetful +controllers. +

+See the examples in BNT/examples/limids for details. + + + + +

DBNs, HMMs, Kalman filters and all that

+ +Click here for documentation about how to +use BNT for dynamical systems and sequence data. + + + diff --git a/sourcecodes/bnt-master/docs/usage_dbn.html b/sourcecodes/bnt-master/docs/usage_dbn.html new file mode 100644 index 00000000..7582a0cb --- /dev/null +++ b/sourcecodes/bnt-master/docs/usage_dbn.html @@ -0,0 +1,719 @@ + +How to use BNT for DBNs + + + + + +Documentation last updated on 7 June 2004 + +

How to use BNT for DBNs

+ +

+

+ +Note: +you are recommended to read an introduction +to DBNs first, such as + +this book chapter. +
+You may also want to consider using +GMTk, which is +an excellent C++ package for DBNs. + + +

Model specification

+ + + + +Dynamic Bayesian Networks (DBNs) are directed graphical models of stochastic +processes. +They generalise hidden Markov models (HMMs) +and linear dynamical systems (LDSs) +by representing the hidden (and observed) state in terms of state +variables, which can have complex interdependencies. +The graphical structure provides an easy way to specify these +conditional independencies, and hence to provide a compact +parameterization of the model. +

+Note that "temporal Bayesian network" would be a better name than +"dynamic Bayesian network", since +it is assumed that the model structure does not change, but +the term DBN has become entrenched. +We also normally assume that the parameters do not +change, i.e., the model is time-invariant. +However, we can always add extra +hidden nodes to represent the current "regime", thereby creating +mixtures of models to capture periodic non-stationarities. +

+There are some cases where the size of the state space can change over +time, e.g., tracking a variable, but unknown, number of objects. +In this case, we need to change the model structure over time. +BNT does not support this. + + + +

Hidden Markov Models (HMMs)

+ +The simplest kind of DBN is a Hidden Markov Model (HMM), which has +one discrete hidden node and one discrete or continuous +observed node per slice. We illustrate this below. +As before, circles denote continuous nodes, squares denote +discrete nodes, clear means hidden, shaded means observed. + +

+ +

+We have "unrolled" the model for three "time slices" -- the structure and parameters are +assumed to repeat as the model is unrolled further. +Hence to specify a DBN, we need to +define the intra-slice topology (within a slice), +the inter-slice topology (between two slices), +as well as the parameters for the first two slices. +(Such a two-slice temporal Bayes net is often called a 2TBN.) +

+We can specify the topology as follows. +

+intra = zeros(2);
+intra(1,2) = 1; % node 1 in slice t connects to node 2 in slice t
+
+inter = zeros(2);
+inter(1,1) = 1; % node 1 in slice t-1 connects to node 1 in slice t
+
+We can specify the parameters as follows, +where for simplicity we assume the observed node is discrete. +
+Q = 2; % num hidden states
+O = 2; % num observable symbols
+
+ns = [Q O];
+dnodes = 1:2;
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes);
+for i=1:4
+  bnet.CPD{i} = tabular_CPD(bnet, i);
+end
+
+

+We assume the distributions P(X(t) | X(t-1)) and +P(Y(t) | X(t)) are independent of t for t > 1. +Hence the CPD for nodes 5, 7, ... is the same as for node 3, so we say they +are in the same equivalence class, with node 3 being the "representative" +for this class. In other words, we have tied the parameters for nodes +3, 5, 7, ... +Similarly, nodes 4, 6, 8, ... are tied. +Note, however, that (the parameters for) nodes 1 and 2 are not tied to +subsequent slices. +

+Above we assumed the observation model P(Y(t) | X(t)) is independent of t for t>1, but +it is conventional to assume this is true for all t. +So we would like to put nodes 2, 4, 6, ... all in the same class. +We can do this by explicitely defining the equivalence classes, as +follows (see here for more details on +parameter tying). +

+We define eclass1(i) to be the equivalence class that node i in slice +1 belongs to. +Similarly, we define eclass2(i) to be the equivalence class that node i in slice +2, 3, ..., belongs to. +For an HMM, we have +

+eclass1 = [1 2];
+eclass2 = [3 2];
+eclass = [eclass1 eclass2];
+
+This ties the observation model across slices, +since e.g., eclass(4) = eclass(2) = 2. +

+By default, +eclass1 = 1:ss, and eclass2 = (1:ss)+ss, where ss = slice size = the +number of nodes per slice. + +But by using the above tieing pattern, +we now only have 3 CPDs to specify, instead of 4: +

+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+prior0 = normalise(rand(Q,1));
+transmat0 = mk_stochastic(rand(Q,Q));
+obsmat0 = mk_stochastic(rand(Q,O));
+bnet.CPD{1} = tabular_CPD(bnet, 1, prior0);
+bnet.CPD{2} = tabular_CPD(bnet, 2, obsmat0);
+bnet.CPD{3} = tabular_CPD(bnet, 3, transmat0);
+
+We discuss how to do inference and learning on this model +below. +(See also +my HMM toolbox, which is included with BNT.) + +

+Some common variants on HMMs are shown below. +BNT can handle all of these. +

+

+ + + + +
+ +
+ +
+
+ + + +

Linear Dynamical Systems (LDSs) and Kalman filters

+ +A Linear Dynamical System (LDS) has the same topology as an HMM, but +all the nodes are assumed to have linear-Gaussian distributions, i.e., +
+   x(t+1) = A*x(t) + w(t),  w ~ N(0, Q),  x(0) ~ N(init_x, init_V)
+   y(t)   = C*x(t) + v(t),  v ~ N(0, R)
+
+Some simple variants are shown below. +

+

+ + +
+ + + +
+
+

+ +We can create a regular LDS in BNT as follows. +

+
+intra = zeros(2);
+intra(1,2) = 1;
+inter = zeros(2);
+inter(1,1) = 1;
+n = 2;
+
+X = 2; % size of hidden state
+Y = 2; % size of observable state
+
+ns = [X Y];
+dnodes = [];
+onodes = [2];
+eclass1 = [1 2];
+eclass2 = [3 2];
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+
+x0 = rand(X,1);
+V0 = eye(X); % must be positive semi definite!
+C0 = rand(Y,X);
+R0 = eye(Y);
+A0 = rand(X,X);
+Q0 = eye(X);
+
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', x0, 'cov', V0, 'cov_prior_weight', 0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(Y,1), 'cov', R0, 'weights', C0, ...
+			   'clamp_mean', 1, 'cov_prior_weight', 0);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', zeros(X,1), 'cov', Q0, 'weights', A0, ...
+			   'clamp_mean', 1, 'cov_prior_weight', 0);
+
+We discuss how to do
inference and learning on this model +below. +(See also +my Kalman filter toolbox, which is included with BNT.) +

+ + +

Coupled HMMs

+ +Here is an example of a coupled HMM with N=5 chains, unrolled for T=3 +slices. Each hidden discrete node has a private observed Gaussian +child. +

+ +

+We can make this using the function +

+Q = 2; % binary hidden nodes
+discrete_obs = 0; % cts observed nodes
+Y = 1; % scalar observed nodes
+bnet = mk_chmm(N, Q, Y, discrete_obs);
+
+ + + + + +

Water network

+ +Consider the following model +of a water purification plant, developed +by Finn V. Jensen, Uffe Kjærulff, Kristian G. Olesen, and Jan +Pedersen. + + + +

+

+ +
+We now show how to specify this model in BNT. +
+ss = 12; % slice size
+intra = zeros(ss);
+intra(1,9) = 1;
+intra(3,10) = 1;
+intra(4,11) = 1;
+intra(8,12) = 1;
+
+inter = zeros(ss);
+inter(1, [1 3]) = 1; % node 1 in slice 1 connects to nodes 1 and 3 in slice 2
+inter(2, [2 3 7]) = 1;
+inter(3, [3 4 5]) = 1;
+inter(4, [3 4 6]) = 1;
+inter(5, [3 5 6]) = 1;
+inter(6, [4 5 6]) = 1;
+inter(7, [7 8]) = 1;
+inter(8, [6 7 8]) = 1;
+
+onodes = 9:12; % observed
+dnodes = 1:ss; % discrete
+ns = 2*ones(1,ss); % binary nodes
+eclass1 = 1:12;
+eclass2 = [13:20 9:12];
+eclass = [eclass1 eclass2];
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+for e=1:max(eclass)
+  bnet.CPD{e} = tabular_CPD(bnet, e);
+end
+
+We have tied the observation parameters across all slices. +Click
here for a more complex example +of parameter tieing. + + + + + +

BATnet

+ +As an example of a more complicated DBN, consider the following +example, +which is a model of a car's high level state, as might be used by +an automated car. +(The model is from Forbes, Huang, Kanazawa and Russell, "The BATmobile: Towards a +Bayesian Automated Taxi", IJCAI 95. The figure is from +Boyen and Koller, "Tractable Inference for Complex Stochastic +Processes", UAI98. +For simplicity, we only show the observed nodes for slice 2.) +

+

+ +
+

+Since this topology is so complicated, +it is useful to be able to refer to the nodes by name, instead of +number. +

+names = {'LeftClr', 'RightClr', 'LatAct', ... 'Bclr', 'BYdotDiff'};
+ss = length(names);
+
+We can specify the intra-slice topology using a cell array as follows, +where each row specifies a connection between two named nodes: +
+intrac = {...
+   'LeftClr', 'LeftClrSens';
+  'RightClr', 'RightClrSens';
+  ...
+  'BYdotDiff', 'BcloseFast'};
+
+Finally, we can convert this cell array to an adjacency matrix using +the following function: +
+[intra, names] = mk_adj_mat(intrac, names, 1);
+
+This function also permutes the names so that they are in topological +order. +Given this ordering of the names, we can make the inter-slice +connectivity matrix as follows: +
+interc = {...
+   'LeftClr', 'LeftClr';
+   'LeftClr', 'LatAct';
+   ...
+   'FBStatus', 'LatAct'};
+
+inter = mk_adj_mat(interc, names, 0);  
+
+ +To refer to a node, we must know its number, which can be computed as +in the following example: +
+obs = {'LeftClrSens', 'RightClrSens', 'TurnSignalSens', 'XdotSens', 'YdotSens', 'FYdotDiffSens', ...
+      'FclrSens', 'BXdotSens', 'BclrSens', 'BYdotDiffSens'};
+for i=1:length(obs)
+  onodes(i) = strmatch(obs{i}, names);
+end
+onodes = sort(onodes);
+
+(We sort the onodes since most BNT routines assume that set-valued +arguments are in sorted order.) +We can now make the DBN: +
+dnodes = 1:ss; 
+ns = 2*ones(1,ss); % binary nodes
+bnet = mk_dbn(intra, inter, ns, 'iscrete', dnodes);
+
+To specify the parameters, we must know the order of the parents. +See the function BNT/general/mk_named_CPT for a way to do this in the +case of tabular nodes. For simplicity, we just generate random +parameters: +
+for i=1:2*ss
+  bnet.CPD{i} = tabular_CPD(bnet, i);
+end
+
+A complete version of this example is available in BNT/examples/dynamic/bat1.m. + + + + +

Inference

+ + +The general inference problem for DBNs is to compute +P(X(i,t0) | Y(:, t1:t2)), where X(i,t) represents the i'th hidden +variable at time t and Y(:,t1:t2) represents all the evidence +between times t1 and t2. +There are several special cases of interest, illustrated below. +The arrow indicates t0: it is X(t0) that we are trying to estimate. +The shaded region denotes t1:t2, the available data. +

+ + + +

+BNT can currently only handle offline smoothing. +(The HMM engine handles filtering and, to a limited extent, prediction.) +The usage is similar to static +inference engines, except now the evidence is a 2D cell array of +size ss*T, where ss is the number of nodes per slice (ss = slice sizee) and T is the +number of slices. +Also, 'marginal_nodes' takes two arguments, the nodes and the time-slice. +For example, to compute P(X(i,t) | y(:,1:T)), we proceed as follows +(where onodes are the indices of the observedd nodes in each slice, +which correspond to y): +

+ev = sample_dbn(bnet, T);
+evidence = cell(ss,T);
+evidence(onodes,:) = ev(onodes, :); % all cells besides onodes are empty
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, i, t);
+
+ + +

Discrete hidden nodes

+ +If all the hidden nodes are discrete, +we can use the junction tree algorithm to perform inference. +The simplest approach, +jtree_unrolled_dbn_inf_engine, +unrolls the DBN into a static network and applies jtree; however, for +long sequences, this +can be very slow and can result in numerical underflow. +A better approach is to apply the jtree algorithm to pairs of +neighboring slices at a time; this is implemented in +jtree_dbn_inf_engine. + +

+A DBN can be converted to an HMM if all the hidden nodes are discrete. +In this case, you can use +hmm_inf_engine. This is faster than jtree for small models +because the constant factors of the algorithm are lower, but can be +exponentially slower for models with many variables +(e.g., > 6 binary hidden nodes). + +

+The use of both +jtree_dbn_inf_engine +and +hmm_inf_engine +is deprecated. +A better approach is to construct a smoother engine out of lower-level +engines, which implement forward/backward operators. +You can create these engines as follows. +

+engine = smoother_engine(hmm_2TBN_inf_engine(bnet));
+or
+engine = smoother_engine(jtree_2TBN_inf_engine(bnet));
+
+You then call them in the usual way: +
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, nodes, t);
+
+Note: you must declare the observed nodes in the bnet before using +hmm_2TBN_inf_engine. + + +

+Unfortunately, when all the hiddden nodes are discrete, +exact inference takes O(2^n) time, where n is the number of hidden +nodes per slice, +even if the model is sparse. +The basic reason for this is that two nodes become correlated, even if +there is no direct connection between them in the 2TBN, +by virtue of sharing common ancestors in the past. +Hence we need to use approximations. +

+A popular approximate inference algorithm for discrete DBNs, known as BK, is described in +

+This approximates the belief state with a product of +marginals on a specified set of clusters. For example, +in the water network, we might use the following clusters: +
+engine = bk_inf_engine(bnet, { [1 2], [3 4 5 6], [7 8] });
+
+This engine can now be used just like the jtree engine. +Two special cases of the BK algorithm are supported: 'ff' (fully +factored) means each node has its own cluster, and 'exact' means there +is 1 cluster that contains the whole slice. These can be created as +follows: +
+engine = bk_inf_engine(bnet, 'ff');
+engine = bk_inf_engine(bnet, 'exact');
+
+For pedagogical purposes, an implementation of BK-FF that uses an HMM +instead of junction tree is available at +bk_ff_hmm_inf_engine. + + + +

Continuous hidden nodes

+ +If all the hidden nodes are linear-Gaussian, and the observed nodes are +linear-Gaussian, +the model is a +linear dynamical system (LDS). +A DBN can be converted to an LDS if all the hidden nodes are linear-Gaussian +and if they are all persistent. In this case, you can use +kalman_inf_engine. +For more general linear-gaussian models, you can use +jtree_dbn_inf_engine or jtree_unrolled_dbn_inf_engine. + +

+For nonlinear systems with Gaussian noise, the unscented Kalman filter (UKF), +due to Julier and Uhlmann, is far superior to the well-known extended Kalman +filter (EKF), both in theory and practice. + +The key idea of the UKF is that it is easier to estimate a Gaussian distribution +from a set of points than to approximate an arbitrary non-linear +function. +We start with points that are plus/minus sigma away from the mean along +each dimension, and then pipe them through the nonlinearity, and +then fit a Gaussian to the transformed points. +(No need to compute Jacobians, unlike the EKF!) + +

+For systems with non-Gaussian noise, I recommend +Particle +filtering (PF), which is a popular sequential Monte Carlo technique. + +

+The EKF can be used as a proposal distribution for a PF. +This method is better than either one alone. +See The Unscented Particle Filter, +by R van der Merwe, A Doucet, JFG de Freitas and E Wan, May 2000. +Matlab +software for the UPF is also available. +

+Note: none of this software is part of BNT. + + + +

Learning

+ +Learning in DBNs can be done online or offline. +Currently only offline learning is implemented in BNT. + + +

Parameter learning

+ +Offline parameter learning is very similar to learning in static networks, +except now the training data is a cell-array of 2D cell-arrays. +For example, +cases{l}{i,t} is the value of node i in slice t in sequence l, or [] +if unobserved. +Each sequence can be a different length, and may have missing values +in arbitrary locations. +Here is a typical code fragment for using EM. +
+ncases = 2;
+cases = cell(1, ncases);
+for i=1:ncases
+  ev = sample_dbn(bnet, T);
+  cases{i} = cell(ss,T);
+  cases{i}(onodes,:) = ev(onodes, :);
+end
+[bnet2, LLtrace] = learn_params_dbn_em(engine, cases, 'max_iter', 10);
+
+If the observed node is vector-valued and stored in an OxT array, you +need to assign each vector to a single cell, as in the following +example. +
+data = [xpos(:)'; ypos(:)']; 
+ncases = 1;
+cases = cell(1, ncases);
+onodes = bnet.observed;
+for i=1:ncases
+  cases{i} = cell(ss,T);
+  cases{i}(onodes,:) = num2cell(data(:,1:T), 1);
+end
+
+

+For a complete code listing of how to do EM in a simple DBN, click +here. + +

Structure learning

+ +There is currently only one structure learning algorithm for DBNs. +This assumes all nodes are tabular and observed, and that there are +no intra-slice connections. Hence we can find the optimal set of +parents for each node separately, without worrying about directed +cycles or node orderings. +The function is called as follows +
+inter = learn_struct_dbn_reveal(cases, ns, max_fan_in, penalty)
+
+A full example is given in BNT/examples/dynamic/reveal1.m. +Setting the penalty term to 0 gives the maximum likelihood model; this +is equivalent to maximizing the mutual information between parents and +child (in the bioinformatics community, this is known as the REVEAL +algorithm). A non-zero penalty invokes the BIC criterion, which +lessens the chance of overfitting. +

+ +Dirk Husmeier has extended MCMC model selection to DBNs. + + diff --git a/sourcecodes/bnt-master/docs/usage_dbn_02nov13.html b/sourcecodes/bnt-master/docs/usage_dbn_02nov13.html new file mode 100644 index 00000000..a1cd8f3a --- /dev/null +++ b/sourcecodes/bnt-master/docs/usage_dbn_02nov13.html @@ -0,0 +1,715 @@ + +How to use BNT for DBNs + + + + + +Documentation last updated on 13 November 2002 + +

How to use BNT for DBNs

+ +

+

+ +Note: +you are recommended to read an introduction +to DBNs first, such as + +this book chapter. + + +

Model specification

+ + + + +Dynamic Bayesian Networks (DBNs) are directed graphical models of stochastic +processes. +They generalise hidden Markov models (HMMs) +and linear dynamical systems (LDSs) +by representing the hidden (and observed) state in terms of state +variables, which can have complex interdependencies. +The graphical structure provides an easy way to specify these +conditional independencies, and hence to provide a compact +parameterization of the model. +

+Note that "temporal Bayesian network" would be a better name than +"dynamic Bayesian network", since +it is assumed that the model structure does not change, but +the term DBN has become entrenched. +We also normally assume that the parameters do not +change, i.e., the model is time-invariant. +However, we can always add extra +hidden nodes to represent the current "regime", thereby creating +mixtures of models to capture periodic non-stationarities. +

+There are some cases where the size of the state space can change over +time, e.g., tracking a variable, but unknown, number of objects. +In this case, we need to change the model structure over time. +BNT does not support this. + + + +

Hidden Markov Models (HMMs)

+ +The simplest kind of DBN is a Hidden Markov Model (HMM), which has +one discrete hidden node and one discrete or continuous +observed node per slice. We illustrate this below. +As before, circles denote continuous nodes, squares denote +discrete nodes, clear means hidden, shaded means observed. + +

+ +

+We have "unrolled" the model for three "time slices" -- the structure and parameters are +assumed to repeat as the model is unrolled further. +Hence to specify a DBN, we need to +define the intra-slice topology (within a slice), +the inter-slice topology (between two slices), +as well as the parameters for the first two slices. +(Such a two-slice temporal Bayes net is often called a 2TBN.) +

+We can specify the topology as follows. +

+intra = zeros(2);
+intra(1,2) = 1; % node 1 in slice t connects to node 2 in slice t
+
+inter = zeros(2);
+inter(1,1) = 1; % node 1 in slice t-1 connects to node 1 in slice t
+
+We can specify the parameters as follows, +where for simplicity we assume the observed node is discrete. +
+Q = 2; % num hidden states
+O = 2; % num observable symbols
+
+ns = [Q O];
+dnodes = 1:2;
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes);
+for i=1:4
+  bnet.CPD{i} = tabular_CPD(bnet, i);
+end
+
+

+We assume the distributions P(X(t) | X(t-1)) and +P(Y(t) | X(t)) are independent of t for t > 1. +Hence the CPD for nodes 5, 7, ... is the same as for node 3, so we say they +are in the same equivalence class, with node 3 being the "representative" +for this class. In other words, we have tied the parameters for nodes +3, 5, 7, ... +Similarly, nodes 4, 6, 8, ... are tied. +Note, however, that (the parameters for) nodes 1 and 2 are not tied to +subsequent slices. +

+Above we assumed the observation model P(Y(t) | X(t)) is independent of t for t>1, but +it is conventional to assume this is true for all t. +So we would like to put nodes 2, 4, 6, ... all in the same class. +We can do this by explicitely defining the equivalence classes, as +follows (see here for more details on +parameter tying). +

+We define eclass1(i) to be the equivalence class that node i in slice +1 belongs to. +Similarly, we define eclass2(i) to be the equivalence class that node i in slice +2, 3, ..., belongs to. +For an HMM, we have +

+eclass1 = [1 2];
+eclass2 = [3 2];
+eclass = [eclass1 eclass2];
+
+This ties the observation model across slices, +since e.g., eclass(4) = eclass(2) = 2. +

+By default, +eclass1 = 1:ss, and eclass2 = (1:ss)+ss, where ss = slice size = the +number of nodes per slice. + +But by using the above tieing pattern, +we now only have 3 CPDs to specify, instead of 4: +

+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+prior0 = normalise(rand(Q,1));
+transmat0 = mk_stochastic(rand(Q,Q));
+obsmat0 = mk_stochastic(rand(Q,O));
+bnet.CPD{1} = tabular_CPD(bnet, 1, prior0);
+bnet.CPD{2} = tabular_CPD(bnet, 2, obsmat0);
+bnet.CPD{3} = tabular_CPD(bnet, 3, transmat0);
+
+We discuss how to do inference and learning on this model +below. +(See also +my HMM toolbox, which is included with BNT.) + +

+Some common variants on HMMs are shown below. +BNT can handle all of these. +

+

+ + + + +
+ +
+ +
+
+ + + +

Linear Dynamical Systems (LDSs) and Kalman filters

+ +A Linear Dynamical System (LDS) has the same topology as an HMM, but +all the nodes are assumed to have linear-Gaussian distributions, i.e., +
+   x(t+1) = A*x(t) + w(t),  w ~ N(0, Q),  x(0) ~ N(init_x, init_V)
+   y(t)   = C*x(t) + v(t),  v ~ N(0, R)
+
+Some simple variants are shown below. +

+

+ + +
+ + + +
+
+

+ +We can create a regular LDS in BNT as follows. +

+
+intra = zeros(2);
+intra(1,2) = 1;
+inter = zeros(2);
+inter(1,1) = 1;
+n = 2;
+
+X = 2; % size of hidden state
+Y = 2; % size of observable state
+
+ns = [X Y];
+dnodes = [];
+onodes = [2];
+eclass1 = [1 2];
+eclass2 = [3 2];
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+
+x0 = rand(X,1);
+V0 = eye(X); % must be positive semi definite!
+C0 = rand(Y,X);
+R0 = eye(Y);
+A0 = rand(X,X);
+Q0 = eye(X);
+
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', x0, 'cov', V0, 'cov_prior_weight', 0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(Y,1), 'cov', R0, 'weights', C0, ...
+			   'clamp_mean', 1, 'cov_prior_weight', 0);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', zeros(X,1), 'cov', Q0, 'weights', A0, ...
+			   'clamp_mean', 1, 'cov_prior_weight', 0);
+
+We discuss how to do
inference and learning on this model +below. +(See also +my Kalman filter toolbox, which is included with BNT.) +

+ + +

Coupled HMMs

+ +Here is an example of a coupled HMM with N=5 chains, unrolled for T=3 +slices. Each hidden discrete node has a private observed Gaussian +child. +

+ +

+We can make this using the function +

+Q = 2; % binary hidden nodes
+discrete_obs = 0; % cts observed nodes
+Y = 1; % scalar observed nodes
+bnet = mk_chmm(N, Q, Y, discrete_obs);
+
+ + + + + +

Water network

+ +Consider the following model +of a water purification plant, developed +by Finn V. Jensen, Uffe Kjærulff, Kristian G. Olesen, and Jan +Pedersen. + + + +

+

+ +
+We now show how to specify this model in BNT. +
+ss = 12; % slice size
+intra = zeros(ss);
+intra(1,9) = 1;
+intra(3,10) = 1;
+intra(4,11) = 1;
+intra(8,12) = 1;
+
+inter = zeros(ss);
+inter(1, [1 3]) = 1; % node 1 in slice 1 connects to nodes 1 and 3 in slice 2
+inter(2, [2 3 7]) = 1;
+inter(3, [3 4 5]) = 1;
+inter(4, [3 4 6]) = 1;
+inter(5, [3 5 6]) = 1;
+inter(6, [4 5 6]) = 1;
+inter(7, [7 8]) = 1;
+inter(8, [6 7 8]) = 1;
+
+onodes = 9:12; % observed
+dnodes = 1:ss; % discrete
+ns = 2*ones(1,ss); % binary nodes
+eclass1 = 1:12;
+eclass2 = [13:20 9:12];
+eclass = [eclass1 eclass2];
+bnet = mk_dbn(intra, inter, ns, 'discrete', dnodes, 'eclass1', eclass1, 'eclass2', eclass2);
+for e=1:max(eclass)
+  bnet.CPD{e} = tabular_CPD(bnet, e);
+end
+
+We have tied the observation parameters across all slices. +Click
here for a more complex example +of parameter tieing. + + + + + +

BATnet

+ +As an example of a more complicated DBN, consider the following +example, +which is a model of a car's high level state, as might be used by +an automated car. +(The model is from Forbes, Huang, Kanazawa and Russell, "The BATmobile: Towards a +Bayesian Automated Taxi", IJCAI 95. The figure is from +Boyen and Koller, "Tractable Inference for Complex Stochastic +Processes", UAI98. +For simplicity, we only show the observed nodes for slice 2.) +

+

+ +
+

+Since this topology is so complicated, +it is useful to be able to refer to the nodes by name, instead of +number. +

+names = {'LeftClr', 'RightClr', 'LatAct', ... 'Bclr', 'BYdotDiff'};
+ss = length(names);
+
+We can specify the intra-slice topology using a cell array as follows, +where each row specifies a connection between two named nodes: +
+intrac = {...
+   'LeftClr', 'LeftClrSens';
+  'RightClr', 'RightClrSens';
+  ...
+  'BYdotDiff', 'BcloseFast'};
+
+Finally, we can convert this cell array to an adjacency matrix using +the following function: +
+[intra, names] = mk_adj_mat(intrac, names, 1);
+
+This function also permutes the names so that they are in topological +order. +Given this ordering of the names, we can make the inter-slice +connectivity matrix as follows: +
+interc = {...
+   'LeftClr', 'LeftClr';
+   'LeftClr', 'LatAct';
+   ...
+   'FBStatus', 'LatAct'};
+
+inter = mk_adj_mat(interc, names, 0);  
+
+ +To refer to a node, we must know its number, which can be computed as +in the following example: +
+obs = {'LeftClrSens', 'RightClrSens', 'TurnSignalSens', 'XdotSens', 'YdotSens', 'FYdotDiffSens', ...
+      'FclrSens', 'BXdotSens', 'BclrSens', 'BYdotDiffSens'};
+for i=1:length(obs)
+  onodes(i) = stringmatch(obs{i}, names);
+end
+onodes = sort(onodes);
+
+(We sort the onodes since most BNT routines assume that set-valued +arguments are in sorted order.) +We can now make the DBN: +
+dnodes = 1:ss; 
+ns = 2*ones(1,ss); % binary nodes
+bnet = mk_dbn(intra, inter, ns, 'iscrete', dnodes);
+
+To specify the parameters, we must know the order of the parents. +See the function BNT/general/mk_named_CPT for a way to do this in the +case of tabular nodes. For simplicity, we just generate random +parameters: +
+for i=1:2*ss
+  bnet.CPD{i} = tabular_CPD(bnet, i);
+end
+
+A complete version of this example is available in BNT/examples/dynamic/bat1.m. + + + + +

Inference

+ + +The general inference problem for DBNs is to compute +P(X(i,t0) | Y(:, t1:t2)), where X(i,t) represents the i'th hidden +variable at time t and Y(:,t1:t2) represents all the evidence +between times t1 and t2. +There are several special cases of interest, illustrated below. +The arrow indicates t0: it is X(t0) that we are trying to estimate. +The shaded region denotes t1:t2, the available data. +

+ + + +

+BNT can currently only handle offline smoothing. +(The HMM engine handles filtering and, to a limited extent, prediction.) +The usage is similar to static +inference engines, except now the evidence is a 2D cell array of +size ss*T, where ss is the number of nodes per slice (ss = slice sizee) and T is the +number of slices. +Also, 'marginal_nodes' takes two arguments, the nodes and the time-slice. +For example, to compute P(X(i,t) | y(:,1:T)), we proceed as follows +(where onodes are the indices of the observedd nodes in each slice, +which correspond to y): +

+ev = sample_dbn(bnet, T);
+evidence = cell(ss,T);
+evidence(onodes,:) = ev(onodes, :); % all cells besides onodes are empty
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, i, t);
+
+ + +

Discrete hidden nodes

+ +If all the hidden nodes are discrete, +we can use the junction tree algorithm to perform inference. +The simplest approach, +jtree_unrolled_dbn_inf_engine, +unrolls the DBN into a static network and applies jtree; however, for +long sequences, this +can be very slow and can result in numerical underflow. +A better approach is to apply the jtree algorithm to pairs of +neighboring slices at a time; this is implemented in +jtree_dbn_inf_engine. + +

+A DBN can be converted to an HMM if all the hidden nodes are discrete. +In this case, you can use +hmm_inf_engine. This is faster than jtree for small models +because the constant factors of the algorithm are lower, but can be +exponentially slower for models with many variables +(e.g., > 6 binary hidden nodes). + +

+The use of both +jtree_dbn_inf_engine +and +hmm_inf_engine +is deprecated. +A better approach is to construct a smoother engine out of lower-level +engines, which implement forward/backward operators. +You can create these engines as follows. +

+engine = smoother_engine(hmm_2TBN_inf_engine(bnet));
+or
+engine = smoother_engine(jtree_2TBN_inf_engine(bnet));
+
+You then call them in the usual way: +
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, nodes, t);
+
+Note: you must declare the observed nodes in the bnet before using +hmm_2TBN_inf_engine. + + +

+Unfortunately, when all the hiddden nodes are discrete, +exact inference takes O(2^n) time, where n is the number of hidden +nodes per slice, +even if the model is sparse. +The basic reason for this is that two nodes become correlated, even if +there is no direct connection between them in the 2TBN, +by virtue of sharing common ancestors in the past. +Hence we need to use approximations. +

+A popular approximate inference algorithm for discrete DBNs, known as BK, is described in +

+This approximates the belief state with a product of +marginals on a specified set of clusters. For example, +in the water network, we might use the following clusters: +
+engine = bk_inf_engine(bnet, { [1 2], [3 4 5 6], [7 8] });
+
+This engine can now be used just like the jtree engine. +Two special cases of the BK algorithm are supported: 'ff' (fully +factored) means each node has its own cluster, and 'exact' means there +is 1 cluster that contains the whole slice. These can be created as +follows: +
+engine = bk_inf_engine(bnet, 'ff');
+engine = bk_inf_engine(bnet, 'exact');
+
+For pedagogical purposes, an implementation of BK-FF that uses an HMM +instead of junction tree is available at +bk_ff_hmm_inf_engine. + + + +

Continuous hidden nodes

+ +If all the hidden nodes are linear-Gaussian, and the observed nodes are +linear-Gaussian, +the model is a +linear dynamical system (LDS). +A DBN can be converted to an LDS if all the hidden nodes are linear-Gaussian +and if they are all persistent. In this case, you can use +kalman_inf_engine. +For more general linear-gaussian models, you can use +jtree_dbn_inf_engine or jtree_unrolled_dbn_inf_engine. + +

+For nonlinear systems with Gaussian noise, the unscented Kalman filter (UKF), +due to Julier and Uhlmann, is far superior to the well-known extended Kalman +filter (EKF), both in theory and practice. + +The key idea of the UKF is that it is easier to estimate a Gaussian distribution +from a set of points than to approximate an arbitrary non-linear +function. +We start with points that are plus/minus sigma away from the mean along +each dimension, and then pipe them through the nonlinearity, and +then fit a Gaussian to the transformed points. +(No need to compute Jacobians, unlike the EKF!) + +

+For systems with non-Gaussian noise, I recommend +Particle +filtering (PF), which is a popular sequential Monte Carlo technique. + +

+The EKF can be used as a proposal distribution for a PF. +This method is better than either one alone. +See The Unscented Particle Filter, +by R van der Merwe, A Doucet, JFG de Freitas and E Wan, May 2000. +Matlab +software for the UPF is also available. +

+Note: none of this software is part of BNT. + + + +

Learning

+ +Learning in DBNs can be done online or offline. +Currently only offline learning is implemented in BNT. + + +

Parameter learning

+ +Offline parameter learning is very similar to learning in static networks, +except now the training data is a cell-array of 2D cell-arrays. +For example, +cases{l}{i,t} is the value of node i in slice t in sequence l, or [] +if unobserved. +Each sequence can be a different length, and may have missing values +in arbitrary locations. +Here is a typical code fragment for using EM. +
+ncases = 2;
+cases = cell(1, ncases);
+for i=1:ncases
+  ev = sample_dbn(bnet, T);
+  cases{i} = cell(ss,T);
+  cases{i}(onodes,:) = ev(onodes, :);
+end
+[bnet2, LLtrace] = learn_params_dbn_em(engine, cases, 'max_iter', 10);
+
+If the observed node is vector-valued and stored in an OxT array, you +need to assign each vector to a single cell, as in the following +example. +
+data = [xpos(:)'; ypos(:)']; 
+ncases = 1;
+cases = cell(1, ncases);
+onodes = bnet.observed;
+for i=1:ncases
+  cases{i} = cell(ss,T);
+  cases{i}(onodes,:) = num2cell(data(:,1:T), 1);
+end
+
+

+For a complete code listing of how to do EM in a simple DBN, click +here. + +

Structure learning

+ +There is currently only one structure learning algorithm for DBNs. +This assumes all nodes are tabular and observed, and that there are +no intra-slice connections. Hence we can find the optimal set of +parents for each node separately, without worrying about directed +cycles or node orderings. +The function is called as follows +
+inter = learn_struct_dbn_reveal(cases, ns, max_fan_in, penalty)
+
+A full example is given in BNT/examples/dynamic/reveal1.m. +Setting the penalty term to 0 gives the maximum likelihood model; this +is equivalent to maximizing the mutual information between parents and +child (in the bioinformatics community, this is known as the REVEAL +algorithm). A non-zero penalty invokes the BIC criterion, which +lessens the chance of overfitting. +

+ +Dirk Husmeier has extended MCMC model selection to DBNs. + + diff --git a/sourcecodes/bnt-master/docs/usage_sf.html b/sourcecodes/bnt-master/docs/usage_sf.html new file mode 100644 index 00000000..7fc3d2c5 --- /dev/null +++ b/sourcecodes/bnt-master/docs/usage_sf.html @@ -0,0 +1,3242 @@ + +How to use the Bayes Net Toolbox + + + + + +

How to use the Bayes Net Toolbox

+ +This documentation was last updated on 7 June 2004. +
+Click here for a list of changes made to +BNT. +
+Click +here +for a French version of this documentation (which might not +be up-to-date). +
+Update 23 May 2005: +Philippe LeRay has written +a + +BNT GUI +and + +BNT Structure Learning Package. + +

+ +

+ + + + + + +

Installation

+ +

Installing the Matlab code

+ +
    +
  • Download the FullBNT.zip file. + +

    +

  • Unpack the file. In Unix, type + +"unzip FullBNT.zip". +In Windows, use +a program like Winzip. This will +create a directory called FullBNT, which contains BNT and other libraries. +(Files ending in ~ or # are emacs backup files, and can be ignored.) + +

    +

  • Read the file BNT/README.txt to make sure the date +matches the one on the top of the BNT home page. +If not, you may need to press 'refresh' on your browser, and download +again, to get the most recent version. + +

    +

  • Edit the file "FullBNT/BNT/add_BNT_to_path.m" so it contains the correct +pathname. +For example, in Windows, +I download FullBNT.zip into C:\kmurphy\matlab, and +then ensure the second lines reads +
    +BNT_HOME = 'C:\kmurphy\matlab\FullBNT';
    +
    + +

    +

  • Start up Matlab. + +

    +

  • Type "ver" at the Matlab prompt (">>"). +You need Matlab version 5.2 or newer to run BNT. +(Versions 5.0 and 5.1 have a memory leak which seems to sometimes +crash BNT.) +BNT will not run on Octave. + +

    +

  • Move to the BNT directory. +For example, in Windows, I type +
    +>> cd C:\kpmurphy\matlab\FullBNT\BNT
    +
    + +

    +

  • Type "add_BNT_to_path". +This executes the command +addpath(genpath(BNT_HOME)), +which adds all directories below FullBNT to the matlab path. + +

    +

  • Type "test_BNT". + +If all goes well, this will produce a bunch of numbers and maybe some +warning messages (which you can ignore), but no error messages. +(The warnings should only be of the form +"Warning: Maximum number of iterations has been exceeded", and are +produced by Netlab.) + +

    +

  • Problems? Did you remember to +Edit the file "FullBNT/BNT/add_BNT_to_path.m" so it contains +the right path?? + +

    +

  • +Join the BNT email list + +

    +

  • Read +some useful Matlab tips. + + +
+ + + +

Installing the C code

+ +Some BNT functions also have C implementations. +It is not necessary to install the C code, but it can result in a speedup +of a factor of 2-5. +To install all the C code, +edit installC_BNT.m so it contains the right path, +then type installC_BNT. +(Ignore warnings of the form 'invalid white space character in directive'.) +To uninstall all the C code, +edit uninstallC_BNT.m so it contains the right path, +then type uninstallC_BNT. +For an up-to-date list of the files which have C implementations, see +BNT/installC_BNT.m. + +

+mex is a script that lets you call C code from Matlab - it does not compile matlab to +C (see mcc below). +If your C/C++ compiler is set up correctly, mex should work out of +the box. +If not, you might need to type +

+ mex -setup +

+before calling installC. +

+To make mex call gcc on Windows, +you must install gnumex. +You can use the minimalist GNU for +Windows version of gcc, or +the cygwin version. +

+In general, typing +'mex foo.c' from inside Matlab creates a file called +'foo.mexglx' or 'foo.dll' (the exact file +extension is system dependent - on Linux it is 'mexglx', on Windows it is '.dll'). +The resulting file will hide the original 'foo.m' (if it existed), i.e., +typing 'foo' at the prompt will call the compiled C version. +To reveal the original matlab version, just delete foo.mexglx (this is +what uninstallC does). +

+Sometimes it takes time for Matlab to realize that the file has +changed from matlab to C or vice versa; try typing 'clear all' or +restarting Matlab to refresh it. +To find out which version of a file you are running, type +'which foo'. +

+mcc, the +Matlab to C compiler, is a separate product, +and is quite different from mex. It does not yet support +objects/classes, which is why we can't compile all of BNT to C automatically. +Also, hand-written C code is usually much +better than the C code generated by mcc. + + +

+Acknowledgements: +Most of the C code (e.g., for jtree and dpot) was written by Wei Hu; +the triangulation C code was written by Ilya Shpitser; +the Gibbs sampling C code (for discrete nodes) was written by Bhaskara +Marthi. + + + +

Creating your first Bayes net

+ +To define a Bayes net, you must specify the graph structure and then +the parameters. We look at each in turn, using a simple example +(adapted from Russell and +Norvig, "Artificial Intelligence: a Modern Approach", Prentice Hall, +1995, p454). + + +

Graph structure

+ + +Consider the following network. + +

+

+ +
+

+ +

+To specify this directed acyclic graph (dag), we create an adjacency matrix: +

+N = 4; 
+dag = zeros(N,N);
+C = 1; S = 2; R = 3; W = 4;
+dag(C,[R S]) = 1;
+dag(R,W) = 1;
+dag(S,W)=1;
+
+

+We have numbered the nodes as follows: +Cloudy = 1, Sprinkler = 2, Rain = 3, WetGrass = 4. +The nodes must always be numbered in topological order, i.e., +ancestors before descendants. +For a more complicated graph, this is a little inconvenient: we will +see how to get around this below. +

+In Matlab 6, you can use logical arrays instead of double arrays, +which are 4 times smaller: +

+dag = false(N,N);
+dag(C,[R S]) = true;
+...
+
+However, some graph functions (eg acyclic) do not work on +logical arrays! +

+A preliminary attempt to make a GUI +has been writte by Philippe LeRay and can be downloaded +from here. +

+You can visualize the resulting graph structure using +the methods discussed below. + +

Creating the Bayes net shell

+ +In addition to specifying the graph structure, +we must specify the size and type of each node. +If a node is discrete, its size is the +number of possible values +each node can take on; if a node is continuous, +it can be a vector, and its size is the length of this vector. +In this case, we will assume all nodes are discrete and binary. +
+discrete_nodes = 1:N;
+node_sizes = 2*ones(1,N); 
+
+If the nodes were not binary, you could type e.g., +
+node_sizes = [4 2 3 5];
+
+meaning that Cloudy has 4 possible values, +Sprinkler has 2 possible values, etc. +Note that these are cardinal values, not ordinal, i.e., +they are not ordered in any way, like 'low', 'medium', 'high'. +

+We are now ready to make the Bayes net: +

+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes);
+
+By default, all nodes are assumed to be discrete, so we can also just +write +
+bnet = mk_bnet(dag, node_sizes);
+
+You may also specify which nodes will be observed. +If you don't know, or if this not fixed in advance, +just use the empty list (the default). +
+onodes = [];
+bnet = mk_bnet(dag, node_sizes, 'discrete', discrete_nodes, 'observed', onodes);
+
+Note that optional arguments are specified using a name/value syntax. +This is common for many BNT functions. +In general, to find out more about a function (e.g., which optional +arguments it takes), please see its +documentation string by typing +
+help mk_bnet
+
+See also other useful Matlab tips. +

+It is possible to associate names with nodes, as follows: +

+bnet = mk_bnet(dag, node_sizes, 'names', {'cloudy','S','R','W'}, 'discrete', 1:4);
+
+You can then refer to a node by its name: +
+C = bnet.names('cloudy'); % bnet.names is an associative array
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+
+This feature uses my own associative array class. + + +

Parameters

+ +A model consists of the graph structure and the parameters. +The parameters are represented by CPD objects (CPD = Conditional +Probability Distribution), which define the probability distribution +of a node given its parents. +(We will use the terms "node" and "random variable" interchangeably.) +The simplest kind of CPD is a table (multi-dimensional array), which +is suitable when all the nodes are discrete-valued. Note that the discrete +values are not assumed to be ordered in any way; that is, they +represent categorical quantities, like male and female, rather than +ordinal quantities, like low, medium and high. +(We will discuss CPDs in more detail below.) +

+Tabular CPDs, also called CPTs (conditional probability tables), +are stored as multidimensional arrays, where the dimensions +are arranged in the same order as the nodes, e.g., the CPT for node 4 +(WetGrass) is indexed by Sprinkler (2), Rain (3) and then WetGrass (4) itself. +Hence the child is always the last dimension. +If a node has no parents, its CPT is a column vector representing its +prior. +Note that in Matlab (unlike C), arrays are indexed +from 1, and are layed out in memory such that the first index toggles +fastest, e.g., the CPT for node 4 (WetGrass) is as follows +

+

+

+where we have used the convention that false==1, true==2. +We can create this CPT in Matlab as follows +

+CPT = zeros(2,2,2);
+CPT(1,1,1) = 1.0;
+CPT(2,1,1) = 0.1;
+...
+
+Here is an easier way: +
+CPT = reshape([1 0.1 0.1 0.01 0 0.9 0.9 0.99], [2 2 2]);
+
+In fact, we don't need to reshape the array, since the CPD constructor +will do that for us. So we can just write +
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+The other nodes are created similarly (using the old syntax for +optional parameters) +
+bnet.CPD{C} = tabular_CPD(bnet, C, [0.5 0.5]);
+bnet.CPD{R} = tabular_CPD(bnet, R, [0.8 0.2 0.2 0.8]);
+bnet.CPD{S} = tabular_CPD(bnet, S, [0.5 0.9 0.5 0.1]);
+bnet.CPD{W} = tabular_CPD(bnet, W, [1 0.1 0.1 0.01 0 0.9 0.9 0.99]);
+
+ + +

Random Parameters

+ +If we do not specify the CPT, random parameters will be +created, i.e., each "row" of the CPT will be drawn from the uniform distribution. +To ensure repeatable results, use +
+rand('state', seed);
+randn('state', seed);
+
+To control the degree of randomness (entropy), +you can sample each row of the CPT from a Dirichlet(p,p,...) distribution. +If p << 1, this encourages "deterministic" CPTs (one entry near 1, the rest near 0). +If p = 1, each entry is drawn from U[0,1]. +If p >> 1, the entries will all be near 1/k, where k is the arity of +this node, i.e., each row will be nearly uniform. +You can do this as follows, assuming this node +is number i, and ns is the node_sizes. +
+k = ns(i);
+ps = parents(dag, i);
+psz = prod(ns(ps));
+CPT = sample_dirichlet(p*ones(1,k), psz);
+bnet.CPD{i} = tabular_CPD(bnet, i, 'CPT', CPT);
+
+ + +

Loading a network from a file

+ +If you already have a Bayes net represented in the XML-based + +Bayes Net Interchange Format (BNIF) (e.g., downloaded from the + +Bayes Net repository), +you can convert it to BNT format using +the +BIF-BNT Java +program written by Ken Shan. +(This is not necessarily up-to-date.) +

+It is currently not possible to save/load a BNT matlab object to +file, but this is easily fixed if you modify all the constructors +for all the classes (see matlab documentation). + +

Creating a model using a GUI

+ +Click here. + + + +

Inference

+ +Having created the BN, we can now use it for inference. +There are many different algorithms for doing inference in Bayes nets, +that make different tradeoffs between speed, +complexity, generality, and accuracy. +BNT therefore offers a variety of different inference +"engines". We will discuss these +in more detail below. +For now, we will use the junction tree +engine, which is the mother of all exact inference algorithms. +This can be created as follows. +
+engine = jtree_inf_engine(bnet);
+
+The other engines have similar constructors, but might take +additional, algorithm-specific parameters. +All engines are used in the same way, once they have been created. +We illustrate this in the following sections. + + +

Computing marginal distributions

+ +Suppose we want to compute the probability that the sprinker was on +given that the grass is wet. +The evidence consists of the fact that W=2. All the other nodes +are hidden (unobserved). We can specify this as follows. +
+evidence = cell(1,N);
+evidence{W} = 2;
+
+We use a 1D cell array instead of a vector to +cope with the fact that nodes can be vectors of different lengths. +In addition, the value [] can be used +to denote 'no evidence', instead of having to specify the observation +pattern as a separate argument. +(Click
here for a quick tutorial on cell +arrays in matlab.) +

+We are now ready to add the evidence to the engine. +

+[engine, loglik] = enter_evidence(engine, evidence);
+
+The behavior of this function is algorithm-specific, and is discussed +in more detail below. +In the case of the jtree engine, +enter_evidence implements a two-pass message-passing scheme. +The first return argument contains the modified engine, which +incorporates the evidence. The second return argument contains the +log-likelihood of the evidence. (Not all engines are capable of +computing the log-likelihood.) +

+Finally, we can compute p=P(S=2|W=2) as follows. +

+marg = marginal_nodes(engine, S);
+marg.T
+ans =
+      0.57024
+      0.42976
+p = marg.T(2);
+
+We see that p = 0.4298. +

+Now let us add the evidence that it was raining, and see what +difference it makes. +

+evidence{R} = 2;
+[engine, loglik] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, S);
+p = marg.T(2);
+
+We find that p = P(S=2|W=2,R=2) = 0.1945, +which is lower than +before, because the rain can ``explain away'' the +fact that the grass is wet. +

+You can plot a marginal distribution over a discrete variable +as a barchart using the built 'bar' function: +

+bar(marg.T)
+
+This is what it looks like + +

+

+ +
+

+ +

Observed nodes

+ +What happens if we ask for the marginal on an observed node, e.g. P(W|W=2)? +An observed discrete node effectively only has 1 value (the observed + one) --- all other values would result in 0 probability. +For efficiency, BNT treats observed (discrete) nodes as if they were + set to 1, as we see below: +
+evidence = cell(1,N);
+evidence{W} = 2;
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, W);
+m.T
+ans =
+     1
+
+This can get a little confusing, since we assigned W=2. +So we can ask BNT to add the evidence back in by passing in an optional argument: +
+m = marginal_nodes(engine, W, 1);
+m.T
+ans =
+     0
+     1
+
+This shows that P(W=1|W=2) = 0 and P(W=2|W=2) = 1. + + + +

Computing joint distributions

+ +We can compute the joint probability on a set of nodes as in the +following example. +
+evidence = cell(1,N);
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W]);
+
+m is a structure. The 'T' field is a multi-dimensional array (in +this case, 3-dimensional) that contains the joint probability +distribution on the specified nodes. +
+>> m.T
+ans(:,:,1) =
+    0.2900    0.0410
+    0.0210    0.0009
+ans(:,:,2) =
+         0    0.3690
+    0.1890    0.0891
+
+We see that P(S=1,R=1,W=2) = 0, since it is impossible for the grass +to be wet if both the rain and sprinkler are off. +

+Let us now add some evidence to R. +

+evidence{R} = 2;
+[engine, ll] = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, [S R W])
+m = 
+    domain: [2 3 4]
+         T: [2x1x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+    0.0820
+    0.0018
+ans(:,:,2) =
+    0.7380
+    0.1782
+
+The joint T(i,j,k) = P(S=i,R=j,W=k|evidence) +should have T(i,1,k) = 0 for all i,k, since R=1 is incompatible +with the evidence that R=2. +Instead of creating large tables with many 0s, BNT sets the effective +size of observed (discrete) nodes to 1, as explained above. +This is why m.T has size 2x1x2. +To get a 2x2x2 table, type +
+m = marginal_nodes(engine, [S R W], 1)
+m = 
+    domain: [2 3 4]
+         T: [2x2x2 double]
+>> m.T
+m.T
+ans(:,:,1) =
+            0        0.082
+            0       0.0018
+ans(:,:,2) =
+            0        0.738
+            0       0.1782
+
+ +

+Note: It is not always possible to compute the joint on arbitrary +sets of nodes: it depends on which inference engine you use, as discussed +in more detail below. + + +

Soft/virtual evidence

+ +Sometimes a node is not observed, but we have some distribution over +its possible values; this is often called "soft" or "virtual" +evidence. +One can use this as follows +
+[engine, loglik] = enter_evidence(engine, evidence, 'soft', soft_evidence);
+
+where soft_evidence{i} is either [] (if node i has no soft evidence) +or is a vector representing the probability distribution over i's +possible values. +For example, if we don't know i's exact value, but we know its +likelihood ratio is 60/40, we can write evidence{i} = [] and +soft_evidence{i} = [0.6 0.4]. +

+Currently only jtree_inf_engine supports this option. +It assumes that all hidden nodes, and all nodes for +which we have soft evidence, are discrete. +For a longer example, see BNT/examples/static/softev1.m. + + +

Most probable explanation

+ +To compute the most probable explanation (MPE) of the evidence (i.e., +the most probable assignment, or a mode of the joint), use +
+[mpe, ll] = calc_mpe(engine, evidence);     
+
+mpe{i} is the most likely value of node i. +This calls enter_evidence with the 'maximize' flag set to 1, which +causes the engine to do max-product instead of sum-product. +The resulting max-marginals are then thresholded. +If there is more than one maximum probability assignment, we must take + care to break ties in a consistent manner (thresholding the + max-marginals may give the wrong result). To force this behavior, + type +
+[mpe, ll] = calc_mpe(engine, evidence, 1);     
+
+Note that computing the MPE is someties called abductive reasoning. + +

+You can also use calc_mpe_bucket written by Ron Zohar, +that does a forwards max-product pass, and then a backwards traceback +pass, which is how Viterbi is traditionally implemented. + + + +

Conditional Probability Distributions

+ +A Conditional Probability Distributions (CPD) +defines P(X(i) | X(Pa(i))), where X(i) is the i'th node, and X(Pa(i)) +are the parents of node i. There are many ways to represent this +distribution, which depend in part on whether X(i) and X(Pa(i)) are +discrete, continuous, or a combination. +We will discuss various representations below. + + +

Tabular nodes

+ +If the CPD is represented as a table (i.e., if it is a multinomial +distribution), it has a number of parameters that is exponential in +the number of parents. See the example above. + + +

Noisy-or nodes

+ +A noisy-OR node is like a regular logical OR gate except that +sometimes the effects of parents that are on get inhibited. +Let the prob. that parent i gets inhibited be q(i). +Then a node, C, with 2 parents, A and B, has the following CPD, where +we use F and T to represent off and on (1 and 2 in BNT). +
+A  B  P(C=off)      P(C=on)
+---------------------------
+F  F  1.0           0.0
+T  F  q(A)          1-q(A)
+F  T  q(B)          1-q(B)
+T  T  q(A)q(B)      q-q(A)q(B)
+
+Thus we see that the causes get inhibited independently. +It is common to associate a "leak" node with a noisy-or CPD, which is +like a parent that is always on. This can account for all other unmodelled +causes which might turn the node on. +

+The noisy-or distribution is similar to the logistic distribution. +To see this, let the nodes, S(i), have values in {0,1}, and let q(i,j) +be the prob. that j inhibits i. Then +

+Pr(S(i)=1 | parents(S(i))) = 1 - prod_{j} q(i,j)^S(j)
+
+Now define w(i,j) = -ln q(i,j) and rho(x) = 1-exp(-x). Then +
+Pr(S(i)=1 | parents(S(i))) = rho(sum_j w(i,j) S(j))
+
+For a sigmoid node, we have +
+Pr(S(i)=1 | parents(S(i))) = sigma(-sum_j w(i,j) S(j))
+
+where sigma(x) = 1/(1+exp(-x)). Hence they differ in the choice of +the activation function (although both are monotonically increasing). +In addition, in the case of a noisy-or, the weights are constrained to be +positive, since they derive from probabilities q(i,j). +In both cases, the number of parameters is linear in the +number of parents, unlike the case of a multinomial distribution, +where the number of parameters is exponential in the number of parents. +We will see an example of noisy-OR nodes
below. + + +

Other (noisy) deterministic nodes

+ +Deterministic CPDs for discrete random variables can be created using +the deterministic_CPD class. It is also possible to 'flip' the output +of the function with some probability, to simulate noise. +The boolean_CPD class is just a special case of a +deterministic CPD, where the parents and child are all binary. +

+Both of these classes are just "syntactic sugar" for the tabular_CPD +class. + + + +

Softmax nodes

+ +If we have a discrete node with a continuous parent, +we can define its CPD using a softmax function +(also known as the multinomial logit function). +This acts like a soft thresholding operator, and is defined as follows: +
+                    exp(w(:,i)'*x + b(i)) 
+Pr(Q=i | X=x)  =  -----------------------------
+                  sum_j   exp(w(:,j)'*x + b(j))
+
+
+The parameters of a softmax node, w(:,i) and b(i), i=1..|Q|, have the +following interpretation: w(:,i)-w(:,j) is the normal vector to the +decision boundary between classes i and j, +and b(i)-b(j) is its offset (bias). For example, suppose +X is a 2-vector, and Q is binary. Then +
+w = [1 -1;
+     0 0];
+
+b = [0 0];
+
+means class 1 are points in the 2D plane with positive x coordinate, +and class 2 are points in the 2D plane with negative x coordinate. +If w has large magnitude, the decision boundary is sharp, otherwise it +is soft. +In the special case that Q is binary (0/1), the softmax function reduces to the logistic +(sigmoid) function. +

+Fitting a softmax function can be done using the iteratively reweighted +least squares (IRLS) algorithm. +We use the implementation from +Netlab. +Note that since +the softmax distribution is not in the exponential family, it does not +have finite sufficient statistics, and hence we must store all the +training data in uncompressed form. +If this takes too much space, one should use online (stochastic) gradient +descent (not implemented in BNT). +

+If a softmax node also has discrete parents, +we use a different set of w/b parameters for each combination of +parent values, as in the conditional linear +Gaussian CPD. +This feature was implemented by Pierpaolo Brutti. +He is currently extending it so that discrete parents can be treated +as if they were continuous, by adding indicator variables to the X +vector. +

+We will see an example of softmax nodes below. + + +

Neural network nodes

+ +Pierpaolo Brutti has implemented the mlp_CPD class, which uses a multi layer perceptron +to implement a mapping from continuous parents to discrete children, +similar to the softmax function. +(If there are also discrete parents, it creates a mixture of MLPs.) +It uses code from Netlab. +This is work in progress. + +

Root nodes

+ +A root node has no parents and no parameters; it can be used to model +an observed, exogeneous input variable, i.e., one which is "outside" +the model. +This is useful for conditional density models. +We will see an example of root nodes below. + + +

Gaussian nodes

+ +We now consider a distribution suitable for the continuous-valued nodes. +Suppose the node is called Y, its continuous parents (if any) are +called X, and its discrete parents (if any) are called Q. +The distribution on Y is defined as follows: +
+- no parents: Y ~ N(mu, Sigma)
+- cts parents : Y|X=x ~ N(mu + W x, Sigma)
+- discrete parents: Y|Q=i ~ N(mu(:,i), Sigma(:,:,i))
+- cts and discrete parents: Y|X=x,Q=i ~ N(mu(:,i) + W(:,:,i) * x, Sigma(:,:,i))
+
+where N(mu, Sigma) denotes a Normal distribution with mean mu and +covariance Sigma. Let |X|, |Y| and |Q| denote the sizes of X, Y and Q +respectively. +If there are no discrete parents, |Q|=1; if there is +more than one, then |Q| = a vector of the sizes of each discrete parent. +If there are no continuous parents, |X|=0; if there is more than one, +then |X| = the sum of their sizes. +Then mu is a |Y|*|Q| vector, Sigma is a |Y|*|Y|*|Q| positive +semi-definite matrix, and W is a |Y|*|X|*|Q| regression (weight) +matrix. +

+We can create a Gaussian node with random parameters as follows. +

+bnet.CPD{i} = gaussian_CPD(bnet, i);
+
+We can specify the value of one or more of the parameters as in the +following example, in which |Y|=2, and |Q|=1. +
+bnet.CPD{i} = gaussian_CPD(bnet, i, 'mean', [0; 0], 'weights', randn(Y,X), 'cov', eye(Y));
+
+

+We will see an example of conditional linear Gaussian nodes below. +

+When learning Gaussians from data, it is helpful to ensure the +data has a small magnitde +(see e.g., KPMstats/standardize) to prevent numerical problems. +Unless you have a lot of data, it is also a very good idea to use +diagonal instead of full covariance matrices. +(BNT does not currently support spherical covariances, although it +would be easy to add, since KPMstats/clg_Mstep supports this option; +you would just need to modify gaussian_CPD/update_ess to accumulate +weighted inner products.) + + + +

Other continuous distributions

+ +Currently BNT does not support any CPDs for continuous nodes other +than the Gaussian. +However, you can use a mixture of Gaussians to +approximate other continuous distributions. We will see some an example +of this with the IFA model below. + + +

Generalized linear model nodes

+ +In the future, we may incorporate some of the functionality of +glmlab +into BNT. + + +

Classification/regression tree nodes

+ +We plan to add classification and regression trees to define CPDs for +discrete and continuous nodes, respectively. +Trees have many advantages: they are easy to interpret, they can do +feature selection, they can +handle discrete and continuous inputs, they do not make strong +assumptions about the form of the distribution, the number of +parameters can grow in a data-dependent way (i.e., they are +semi-parametric), they can handle missing data, etc. +However, they are not yet implemented. + + + +

Summary of CPD types

+ +We list all the different types of CPDs supported by BNT. +For each CPD, we specify if the child and parents can be discrete (D) or +continuous (C) (Binary (B) nodes are a special case). +We also specify which methods each class supports. +If a method is inherited, the name of the parent class is mentioned. +If a parent class calls a child method, this is mentioned. +

+The CPD_to_CPT method converts a CPD to a table; this +requires that the child and all parents are discrete. +The CPT might be exponentially big... +convert_to_table evaluates a CPD with evidence, and +represents the the resulting potential as an array. +This requires that the child is discrete, and any continuous parents +are observed. +convert_to_pot evaluates a CPD with evidence, and +represents the resulting potential as a dpot, gpot, cgpot or upot, as +requested. (d=discrete, g=Gaussian, cg = conditional Gaussian, u = +utility). + +

+When we sample a node, all the parents are observed. +When we compute the (log) probability of a node, all the parents and +the child are observed. +

+We also specify if the parameters are learnable. +For learning with EM, we require +the methods reset_ess, update_ess and +maximize_params. +For learning from fully observed data, we require +the method learn_params. +By default, all classes inherit this from generic_CPD, which simply +calls update_ess N times, once for each data case, followed +by maximize_params, i.e., it is like EM, without the E step. +Some classes implement a batch formula, which is quicker. +

+Bayesian learning means computing a posterior over the parameters +given fully observed data. +

+Pearl means we implement the methods compute_pi and +compute_lambda_msg, used by +pearl_inf_engine, which runs on directed graphs. +belprop_inf_engine only needs convert_to_pot.H +The pearl methods can exploit special properties of the CPDs for +computing the messages efficiently, whereas belprop does not. +

+The only method implemented by generic_CPD is adjustable_CPD, +which is not shown, since it is not very interesting. + + +

+ + + +
+ + + + + + + + + + + + +
Name +Child +Parents +Comments +CPD_to_CPT +conv_to_table +conv_to_pot +sample +prob +learn +Bayes +Pearl + + +
+ + + + + + + + + + + + +
boolean +B +B +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
deterministic +D +D +Syntactic sugar for tabular +- +- +- +- +- +- +- +- + +
Discrete +D +C/D +Virtual class +N +Calls CPD_to_CPT +Calls conv_to_table +Calls conv_to_table +Calls conv_to_table +N +N +N + +
Gaussian +C +C/D +- +N +N +Y +Y +Y +Y +N +N + +
gmux +C +C/D +multiplexer +N +N +Y +N +N +N +N +Y + + +
MLP +D +C/D +multi layer perceptron +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
noisy-or +B +B +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +N +N +Y + + +
root +C/D +none +no params +N +N +Y +Y +Y +N +N +N + + +
softmax +D +C/D +- +N +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +N +N + + +
generic +C/D +C/D +Virtual class +N +N +N +N +N +N +N +N + + +
Tabular +D +D +- +Y +Inherits from discrete +Inherits from discrete +Inherits from discrete +Inherits from discrete +Y +Y +Y + +
+ + + +

Example models

+ + +

Gaussian mixture models

+ +Richard W. DeVaul has made a detailed tutorial on how to fit mixtures +of Gaussians using BNT. Available +
here. + + +

PCA, ICA, and all that

+ +In Figure (a) below, we show how Factor Analysis can be thought of as a +graphical model. Here, X has an N(0,I) prior, and +Y|X=x ~ N(mu + Wx, Psi), +where Psi is diagonal and W is called the "factor loading matrix". +Since the noise on both X and Y is diagonal, the components of these +vectors are uncorrelated, and hence can be represented as individual +scalar nodes, as we show in (b). +(This is useful if parts of the observations on the Y vector are occasionally missing.) +We usually take k=|X| << |Y|=D, so the model tries to explain +many observations using a low-dimensional subspace. + + +
+ + + +
+ + + +
(a) + (b) + (c) + (d) +
+
+ +

+We can create this model in BNT as follows. +

+ns = [k D];
+dag = zeros(2,2);
+dag(1,2) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', []);
+bnet.CPD{1} = gaussian_CPD(bnet, 1, 'mean', zeros(k,1), 'cov', eye(k), ...
+   'cov_type', 'diag', 'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(D,1), 'cov', diag(Psi0), 'weights', W0, ...
+   'cov_type', 'diag', 'clamp_mean', 1);
+
+ +The root node is clamped to the N(0,I) distribution, so that we will +not update these parameters during learning. +The mean of the leaf node is clamped to 0, +since we assume the data has been centered (had its mean subtracted +off); this is just for simplicity. +Finally, the covariance of the leaf node is constrained to be +diagonal. W0 and Psi0 are the initial parameter guesses. + +

+We can fit this model (i.e., estimate its parameters in a maximum +likelihood (ML) sense) using EM, as we +explain below. +Not surprisingly, the ML estimates for mu and Psi turn out to be +identical to the +sample mean and variance, which can be computed directly as +

+mu_ML = mean(data);
+Psi_ML = diag(cov(data));
+
+Note that W can only be identified up to a rotation matrix, because of +the spherical symmetry of the source. + +

+If we restrict Psi to be spherical, i.e., Psi = sigma*I, +there is a closed-form solution for W as well, +i.e., we do not need to use EM. +In particular, W contains the first |X| eigenvectors of the sample covariance +matrix, with scalings determined by the eigenvalues and sigma. +Classical PCA can be obtained by taking the sigma->0 limit. +For details, see + +

+ +

+By adding a hidden discrete variable, we can create mixtures of FA +models, as shown in (c). +Now we can explain the data using a set of subspaces. +We can create this model in BNT as follows. +

+ns = [M k D];
+dag = zeros(3);
+dag(1,3) = 1;
+dag(2,3) = 1;
+bnet = mk_bnet(dag, ns, 'discrete', 1);
+bnet.CPD{1} = tabular_CPD(bnet, 1, Pi0);
+bnet.CPD{2} = gaussian_CPD(bnet, 2, 'mean', zeros(k, 1), 'cov', eye(k), 'cov_type', 'diag', ...
+			   'clamp_mean', 1, 'clamp_cov', 1);
+bnet.CPD{3} = gaussian_CPD(bnet, 3, 'mean', Mu0', 'cov', repmat(diag(Psi0), [1 1 M]), ...
+			   'weights', W0, 'cov_type', 'diag', 'tied_cov', 1);
+
+Notice how the covariance matrix for Y is the same for all values of +Q; that is, the noise level in each sub-space is assumed the same. +However, we allow the offset, mu, to vary. +For details, see + + +

+I have included Zoubin's specialized MFA code (with his permission) +with the toolbox, so you can check that BNT gives the same results: +see 'BNT/examples/static/mfa1.m'. + +

+Independent Factor Analysis (IFA) generalizes FA by allowing a +non-Gaussian prior on each component of X. +(Note that we can approximate a non-Gaussian prior using a mixture of +Gaussians.) +This means that the likelihood function is no longer rotationally +invariant, so we can uniquely identify W and the hidden +sources X. +IFA also allows a non-diagonal Psi (i.e. correlations between the components of Y). +We recover classical Independent Components Analysis (ICA) +in the Psi -> 0 limit, and by assuming that |X|=|Y|, so that the +weight matrix W is square and invertible. +For details, see +

+ + + +

Mixtures of experts

+ +As an example of the use of the softmax function, +we introduce the Mixture of Experts model. + +As before, +circles denote continuous-valued nodes, +squares denote discrete nodes, clear +means hidden, and shaded means observed. +

+

+ + +
+ +
+
+

+X is the observed +input, Y is the output, and +the Q nodes are hidden "gating" nodes, which select the appropriate +set of parameters for Y. During training, Y is assumed observed, +but for testing, the goal is to predict Y given X. +Note that this is a conditional density model, so we don't +associate any parameters with X. +Hence X's CPD will be a root CPD, which is a way of modelling +exogenous nodes. +If the output is a continuous-valued quantity, +we assume the "experts" are linear-regression units, +and set Y's CPD to linear-Gaussian. +If the output is discrete, we set Y's CPD to a softmax function. +The Q CPDs will always be softmax functions. + +

+As a concrete example, consider the mixture of experts model where X and Y are +scalars, and Q is binary. +This is just piecewise linear regression, where +we have two line segments, i.e., +

+ +

+We can create this model with random parameters as follows. +(This code is bundled in BNT/examples/static/mixexp2.m.) +

+X = 1;
+Q = 2;
+Y = 3;
+dag = zeros(3,3);
+dag(X,[Q Y]) = 1
+dag(Q,Y) = 1;
+ns = [1 2 1]; % make X and Y scalars, and have 2 experts
+onodes = [1 3];
+bnet = mk_bnet(dag, ns, 'discrete', 2, 'observed', onodes);
+
+rand('state', 0);
+randn('state', 0);
+bnet.CPD{1} = root_CPD(bnet, 1);
+bnet.CPD{2} = softmax_CPD(bnet, 2);
+bnet.CPD{3} = gaussian_CPD(bnet, 3);
+
+Now let us fit this model using
EM. +First we load the data (1000 training cases) and plot them. +

+

+data = load('/examples/static/Misc/mixexp_data.txt', '-ascii');        
+plot(data(:,1), data(:,2), '.');
+
+

+

+ +
+

+This is what the model looks like before training. +(Thanks to Thomas Hofman for writing this plotting routine.) +

+

+ +
+

+Now let's train the model, and plot the final performance. +(We will discuss how to train models in more detail below.) +

+

+ncases = size(data, 1); % each row of data is a training case
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data'); % each column of cases is a training case
+engine = jtree_inf_engine(bnet);
+max_iter = 20;
+[bnet2, LLtrace] = learn_params_em(engine, cases, max_iter);
+
+(We specify which nodes will be observed when we create the engine. +Hence BNT knows that the hidden nodes are all discrete. +For complex models, this can lead to a significant speedup.) +Below we show what the model looks like after 16 iterations of EM +(with 100 IRLS iterations per M step), when it converged +using the default convergence tolerance (that the +fractional change in the log-likelihood be less than 1e-3). +Before learning, the log-likelihood was +-322.927442; afterwards, it was -13.728778. +

+

+ +
+(See BNT/examples/static/mixexp2.m for details of the code.) + + + +

Hierarchical mixtures of experts

+ +A hierarchical mixture of experts (HME) extends the mixture of experts +model by having more than one hidden node. A two-level example is shown below, along +with its more traditional representation as a neural network. +This is like a (balanced) probabilistic decision tree of height 2. +

+

+ +
+

+Pierpaolo Brutti +has written an extensive set of routines for HMEs, +which are bundled with BNT: see the examples/static/HME directory. +These routines allow you to choose the number of hidden (gating) +layers, and the form of the experts (softmax or MLP). +See the file hmemenu, which provides a demo. +For example, the figure below shows the decision boundaries learned +for a ternary classification problem, using a 2 level HME with softmax +gates and softmax experts; the training set is on the left, the +testing set on the right. +

+

+ + +
+

+ + +

+For more details, see the following: +

+ + +

QMR

+ +Bayes nets originally arose out of an attempt to add probabilities to +expert systems, and this is still the most common use for BNs. +A famous example is +QMR-DT, a decision-theoretic reformulation of the Quick Medical +Reference (QMR) model. +

+

+ +
+Here, the top layer represents hidden disease nodes, and the bottom +layer represents observed symptom nodes. +The goal is to infer the posterior probability of each disease given +all the symptoms (which can be present, absent or unknown). +Each node in the top layer has a Bernoulli prior (with a low prior +probability that the disease is present). +Since each node in the bottom layer has a high fan-in, we use a +noisy-OR parameterization; each disease has an independent chance of +causing each symptom. +The real QMR-DT model is copyright, but +we can create a random QMR-like model as follows. +
+function bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+% MK_QMR_BNET Make a QMR model
+% bnet = mk_qmr_bnet(G, inhibit, leak, prior)
+%
+% G(i,j) = 1 iff there is an arc from disease i to finding j
+% inhibit(i,j) = inhibition probability on i->j arc
+% leak(j) = inhibition prob. on leak->j arc
+% prior(i) = prob. disease i is on
+
+[Ndiseases Nfindings] = size(inhibit);
+N = Ndiseases + Nfindings;
+finding_node = Ndiseases+1:N;
+ns = 2*ones(1,N);
+dag = zeros(N,N);
+dag(1:Ndiseases, finding_node) = G;
+bnet = mk_bnet(dag, ns, 'observed', finding_node);
+
+for d=1:Ndiseases
+  CPT = [1-prior(d) prior(d)];
+  bnet.CPD{d} = tabular_CPD(bnet, d, CPT');
+end
+
+for i=1:Nfindings
+  fnode = finding_node(i);
+  ps = parents(G, i);
+  bnet.CPD{fnode} = noisyor_CPD(bnet, fnode, leak(i), inhibit(ps, i));
+end
+
+In the file BNT/examples/static/qmr1, we create a random bipartite +graph G, with 5 diseases and 10 findings, and random parameters. +(In general, to create a random dag, use 'mk_random_dag'.) +We can visualize the resulting graph structure using +the methods discussed
below, with the +following results: +

+ + +

+Now let us put some random evidence on all the leaves except the very +first and very last, and compute the disease posteriors. +

+pos = 2:floor(Nfindings/2);
+neg = (pos(end)+1):(Nfindings-1);
+onodes = myunion(pos, neg);
+evidence = cell(1, N);
+evidence(findings(pos)) = num2cell(repmat(2, 1, length(pos)));
+evidence(findings(neg)) = num2cell(repmat(1, 1, length(neg)));
+
+engine = jtree_inf_engine(bnet);
+[engine, ll] = enter_evidence(engine, evidence);
+post = zeros(1, Ndiseases);
+for i=diseases(:)'
+  m = marginal_nodes(engine, i);
+  post(i) = m.T(2);
+end
+
+Junction tree can be quite slow on large QMR models. +Fortunately, it is possible to exploit properties of the noisy-OR +function to speed up exact inference using an algorithm called +quickscore, discussed below. + + + + + +

Conditional Gaussian models

+ +A conditional Gaussian model is one in which, conditioned on all the discrete +nodes, the distribution over the remaining (continuous) nodes is +multivariate Gaussian. This means we can have arcs from discrete (D) +to continuous (C) nodes, but not vice versa. +(We are allowed C->D arcs if the continuous nodes are observed, +as in the mixture of experts model, +since this distribution can be represented with a discrete potential.) +

+We now give an example of a CG model, from +the paper "Propagation of Probabilities, Means amd +Variances in Mixed Graphical Association Models", Steffen Lauritzen, +JASA 87(420):1098--1108, 1992 (reprinted in the book "Probabilistic Networks and Expert +Systems", R. G. Cowell, A. P. Dawid, S. L. Lauritzen and +D. J. Spiegelhalter, Springer, 1999.) + +

Specifying the graph

+ +Consider the model of waste emissions from an incinerator plant shown below. +We follow the standard convention that shaded nodes are observed, +clear nodes are hidden. +We also use the non-standard convention that +square nodes are discrete (tabular) and round nodes are +Gaussian. + +

+

+ +
+

+ +We can create this model as follows. +

+F = 1; W = 2; E = 3; B = 4; C = 5; D = 6; Min = 7; Mout = 8; L = 9;
+n = 9;
+
+dag = zeros(n);
+dag(F,E)=1;
+dag(W,[E Min D]) = 1;
+dag(E,D)=1;
+dag(B,[C D])=1;
+dag(D,[L Mout])=1;
+dag(Min,Mout)=1;
+
+% node sizes - all cts nodes are scalar, all discrete nodes are binary
+ns = ones(1, n);
+dnodes = [F W B];
+cnodes = mysetdiff(1:n, dnodes);
+ns(dnodes) = 2;
+
+bnet = mk_bnet(dag, ns, 'discrete', dnodes);
+
+'dnodes' is a list of the discrete nodes; 'cnodes' is the continuous +nodes. 'mysetdiff' is a faster version of the built-in 'setdiff'. +

+ + +

Specifying the parameters

+ +The parameters of the discrete nodes can be specified as follows. +
+bnet.CPD{B} = tabular_CPD(bnet, B, 'CPT', [0.85 0.15]); % 1=stable, 2=unstable
+bnet.CPD{F} = tabular_CPD(bnet, F, 'CPT', [0.95 0.05]); % 1=intact, 2=defect
+bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [2/7 5/7]); % 1=industrial, 2=household
+
+ +

+The parameters of the continuous nodes can be specified as follows. +

+bnet.CPD{E} = gaussian_CPD(bnet, E, 'mean', [-3.9 -0.4 -3.2 -0.5], ...
+			   'cov', [0.00002 0.0001 0.00002 0.0001]);
+bnet.CPD{D} = gaussian_CPD(bnet, D, 'mean', [6.5 6.0 7.5 7.0], ...
+			   'cov', [0.03 0.04 0.1 0.1], 'weights', [1 1 1 1]);
+bnet.CPD{C} = gaussian_CPD(bnet, C, 'mean', [-2 -1], 'cov', [0.1 0.3]);
+bnet.CPD{L} = gaussian_CPD(bnet, L, 'mean', 3, 'cov', 0.25, 'weights', -0.5);
+bnet.CPD{Min} = gaussian_CPD(bnet, Min, 'mean', [0.5 -0.5], 'cov', [0.01 0.005]);
+bnet.CPD{Mout} = gaussian_CPD(bnet, Mout, 'mean', 0, 'cov', 0.002, 'weights', [1 1]);
+
+ + +

Inference

+ + +First we compute the unconditional marginals. +
+engine = jtree_inf_engine(bnet);
+evidence = cell(1,n);
+[engine, ll] = enter_evidence(engine, evidence);
+marg = marginal_nodes(engine, E);
+
+ +'marg' is a structure that contains the fields 'mu' and 'Sigma', which +contain the mean and (co)variance of the marginal on E. +In this case, they are both scalars. +Let us check they match the published figures (to 2 decimal places). + +
+tol = 1e-2;
+assert(approxeq(marg.mu, -3.25, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.709, tol));
+
+We can compute the other posteriors similarly. +Now let us add some evidence. +
+evidence = cell(1,n);
+evidence{W} = 1; % industrial
+evidence{L} = 1.1;
+evidence{C} = -0.9;
+[engine, ll] = enter_evidence(engine, evidence);
+
+Now we find +
+marg = marginal_nodes(engine, E);
+assert(approxeq(marg.mu, -3.8983, tol));
+assert(approxeq(sqrt(marg.Sigma), 0.0763, tol));
+
+ + +We can also compute the joint probability on a set of nodes. +For example, P(D, Mout | evidence) is a 2D Gaussian: +
+marg = marginal_nodes(engine, [D Mout])
+marg = 
+    domain: [6 8]
+        mu: [2x1 double]
+     Sigma: [2x2 double]
+         T: 1.0000
+
+The mean is +
+marg.mu
+ans =
+    3.6077
+    4.1077
+
+and the covariance matrix is +
+marg.Sigma
+ans =
+    0.1062    0.1062
+    0.1062    0.1182
+
+It is easy to visualize this posterior using standard Matlab plotting +functions, e.g., +
+gaussplot2d(marg.mu, marg.Sigma);
+
+produces the following picture. + +

+

+ +
+

+ + +The T field indicates that the mixing weight of this Gaussian +component is 1.0. +If the joint contains discrete and continuous variables, the result +will be a mixture of Gaussians, e.g., +

+marg = marginal_nodes(engine, [F E])
+    domain: [1 3]
+        mu: [-3.9000 -0.4003]
+     Sigma: [1x1x2 double]
+         T: [0.9995 4.7373e-04]
+
+The interpretation is +Sigma(i,j,k) = Cov[ E(i) E(j) | F=k ]. +In this case, E is a scalar, so i=j=1; k specifies the mixture component. +

+We saw in the sprinkler network that BNT sets the effective size of +observed discrete nodes to 1, since they only have one legal value. +For continuous nodes, BNT sets their length to 0, +since they have been reduced to a point. +For example, +

+marg = marginal_nodes(engine, [B C])
+    domain: [4 5]
+        mu: []
+     Sigma: []
+         T: [0.0123 0.9877]
+
+It is simple to post-process the output of marginal_nodes. +For example, the file BNT/examples/static/cg1 sets the mu term of +observed nodes to their observed value, and the Sigma term to 0 (since +observed nodes have no variance). + +

+Note that the implemented version of the junction tree is numerically +unstable when using CG potentials +(which is why, in the example above, we only required our answers to agree with +the published ones to 2dp.) +This is why you might want to use stab_cond_gauss_inf_engine, +implemented by Shan Huang. This is described in + +

    +
  • "Stable Local Computation with Conditional Gaussian Distributions", +S. Lauritzen and F. Jensen, Tech Report R-99-2014, +Dept. Math. Sciences, Allborg Univ., 1999. +
+ +However, even the numerically stable version +can be computationally intractable if there are many hidden discrete +nodes, because the number of mixture components grows exponentially e.g., in a +
switching linear dynamical system. +In general, one must resort to approximate inference techniques: see +the discussion on inference engines below. + + +

Other hybrid models

+ +When we have C->D arcs, where C is hidden, we need to use +approximate inference. +One approach (not implemented in BNT) is described in + +Of course, one can always use sampling methods +for approximate inference in such models. + + + +

Parameter Learning

+ +The parameter estimation routines in BNT can be classified into 4 +types, depending on whether the goal is to compute +a full (Bayesian) posterior over the parameters or just a point +estimate (e.g., Maximum Likelihood or Maximum A Posteriori), +and whether all the variables are fully observed or there is missing +data/ hidden variables (partial observability). +

+ + + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_paramslearn_params_em
Bayesbayes_update_paramsnot yet supported
+ + +

Loading data from a file

+ +To load numeric data from an ASCII text file called 'dat.txt', where each row is a +case and columns are separated by white-space, such as +
+011979 1626.5 0.0
+021979 1367.0 0.0
+...
+
+you can use +
+data = load('dat.txt');
+
+or +
+load dat.txt -ascii
+
+In the latter case, the data is stored in a variable called 'dat' (the +filename minus the extension). +Alternatively, suppose the data is stored in a .csv file (has commas +separating the columns, and contains a header line), such as +
+header info goes here
+ORD,011979,1626.5,0.0
+DSM,021979,1367.0,0.0
+...
+
+You can load this using +
+[a,b,c,d] = textread('dat.txt', '%s %d %f %f', 'delimiter', ',', 'headerlines', 1);
+
+If your file is not in either of these formats, you can either use Perl to convert +it to this format, or use the Matlab scanf command. +Type + +help iofun + +for more information on Matlab's file functions. + +

+BNT learning routines require data to be stored in a cell array. +data{i,m} is the value of node i in case (example) m, i.e., each +column is a case. +If node i is not observed in case m (missing value), set +data{i,m} = []. +(Not all the learning routines can cope with such missing values, however.) +In the special case that all the nodes are observed and are +scalar-valued (as opposed to vector-valued), the data can be +stored in a matrix (as opposed to a cell-array). +

+Suppose, as in the mixture of experts example, +that we have 3 nodes in the graph: X(1) is the observed input, X(3) is +the observed output, and X(2) is a hidden (gating) node. We can +create the dataset as follows. +

+data = load('dat.txt');
+ncases = size(data, 1);
+cases = cell(3, ncases);
+cases([1 3], :) = num2cell(data');
+
+Notice how we transposed the data, to convert rows into columns. +Also, cases{2,m} = [] for all m, since X(2) is always hidden. + + +

Maximum likelihood parameter estimation from complete data

+ +As an example, let's generate some data from the sprinkler network, randomize the parameters, +and then try to recover the original model. +First we create some training data using forwards sampling. +
+samples = cell(N, nsamples);
+for i=1:nsamples
+  samples(:,i) = sample_bnet(bnet);
+end
+
+samples{j,i} contains the value of the j'th node in case i. +sample_bnet returns a cell array because, in general, each node might +be a vector of different length. +In this case, all nodes are discrete (and hence scalars), so we +could have used a regular array instead (which can be quicker): +
+data = cell2num(samples);
+
+Now we create a network with random parameters. +(The initial values of bnet2 don't matter in this case, since we can find the +globally optimal MLE independent of where we start.) +
+% Make a tabula rasa
+bnet2 = mk_bnet(dag, node_sizes);
+seed = 0;
+rand('state', seed);
+bnet2.CPD{C} = tabular_CPD(bnet2, C);
+bnet2.CPD{R} = tabular_CPD(bnet2, R);
+bnet2.CPD{S} = tabular_CPD(bnet2, S);
+bnet2.CPD{W} = tabular_CPD(bnet2, W);
+
+Finally, we find the maximum likelihood estimates of the parameters. +
+bnet3 = learn_params(bnet2, samples);
+
+To view the learned parameters, we use a little Matlab hackery. +
+CPT3 = cell(1,N);
+for i=1:N
+  s=struct(bnet3.CPD{i});  % violate object privacy
+  CPT3{i}=s.CPT;
+end
+
+Here are the parameters learned for node 4. +
+dispcpt(CPT3{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.2000 0.8000 
+1 2 : 0.2273 0.7727 
+2 2 : 0.0000 1.0000 
+
+So we see that the learned parameters are fairly close to the "true" +ones, which we display below. +
+dispcpt(CPT{4})
+1 1 : 1.0000 0.0000 
+2 1 : 0.1000 0.9000 
+1 2 : 0.1000 0.9000 
+2 2 : 0.0100 0.9900 
+
+We can get better results by using a larger training set, or using +informative priors (see
below). + + + +

Parameter priors

+ +Currently, only tabular CPDs can have priors on their parameters. +The conjugate prior for a multinomial is the Dirichlet. +(For binary random variables, the multinomial is the same as the +Bernoulli, and the Dirichlet is the same as the Beta.) +

+The Dirichlet has a simple interpretation in terms of pseudo counts. +If we let N_ijk = the num. times X_i=k and Pa_i=j occurs in the +training set, where Pa_i are the parents of X_i, +then the maximum likelihood (ML) estimate is +T_ijk = N_ijk / N_ij (where N_ij = sum_k' N_ijk'), which will be 0 if N_ijk=0. +To prevent us from declaring that (X_i=k, Pa_i=j) is impossible just because this +event was not seen in the training set, +we can pretend we saw value k of X_i, for each value j of Pa_i some number (alpha_ijk) +of times in the past. +The MAP (maximum a posterior) estimate is then +

+T_ijk = (N_ijk + alpha_ijk) / (N_ij + alpha_ij)
+
+and is never 0 if all alpha_ijk > 0. +For example, consider the network A->B, where A is binary and B has 3 +values. +A uniform prior for B has the form +
+    B=1 B=2 B=3
+A=1 1   1   1
+A=2 1   1   1
+
+which can be created using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'unif');
+
+This prior does not satisfy the likelihood equivalence principle, +which says that
Markov equivalent models +should have the same marginal likelihood. +A prior that does satisfy this principle is shown below. +Heckerman (1995) calls this the +BDeu prior (likelihood equivalent uniform Bayesian Dirichlet). +
+    B=1 B=2 B=3
+A=1 1/6 1/6 1/6
+A=2 1/6 1/6 1/6
+
+where we put N/(q*r) in each bin; N is the equivalent sample size, +r=|A|, q = |B|. +This can be created as follows +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', 'BDeu');
+
+Here, 1 is the equivalent sample size, and is the strength of the +prior. +You can change this using +
+tabular_CPD(bnet, i, 'prior_type', 'dirichlet', 'dirichlet_type', ...
+   'BDeu', 'dirichlet_weight', 10);
+
+ + + + +

(Sequential) Bayesian parameter updating from complete data

+ +If we use conjugate priors and have fully observed data, we can +compute the posterior over the parameters in batch form as follows. +
+cases = sample_bnet(bnet, nsamples);
+bnet = bayes_update_params(bnet, cases);  
+LL = log_marg_lik_complete(bnet, cases);   
+
+bnet.CPD{i}.prior contains the new Dirichlet pseudocounts, +and bnet.CPD{i}.CPT is set to the mean of the posterior (the +normalized counts). +(Hence if the initial pseudo counts are 0, +bayes_update_params and learn_params will give the +same result.) + + + + +

+We can compute the same result sequentially (on-line) as follows. +

+LL = 0;
+for m=1:nsamples
+  LL = LL + log_marg_lik_complete(bnet, cases(:,m));
+  bnet = bayes_update_params(bnet, cases(:,m));
+end
+
+ +The file BNT/examples/static/StructLearn/model_select1 has an example of +sequential model selection which uses the same idea. +We generate data from the model A->B +and compute the posterior prob of all 3 dags on 2 nodes: + (1) A B, (2) A <- B , (3) A -> B +Models 2 and 3 are
Markov equivalent, and therefore indistinguishable from +observational data alone, so we expect their posteriors to be the same +(assuming a prior which satisfies likelihood equivalence). +If we use random parameters, the "true" model only gets a higher posterior after 2000 trials! +However, if we make B a noisy NOT gate, the true model "wins" after 12 +trials, as shown below (red = model 1, blue/green (superimposed) +represents models 2/3). +

+ +

+The use of marginal likelihood for model selection is discussed in +greater detail in the +section on structure learning. + + + + +

Maximum likelihood parameter estimation with missing values

+ +Now we consider learning when some values are not observed. +Let us randomly hide half the values generated from the water +sprinkler example. +
+samples2 = samples;
+hide = rand(N, nsamples) > 0.5;
+[I,J]=find(hide);
+for k=1:length(I)
+  samples2{I(k), J(k)} = [];
+end
+
+samples2{i,l} is the value of node i in training case l, or [] if unobserved. +

+Now we will compute the MLEs using the EM algorithm. +We need to use an inference algorithm to compute the expected +sufficient statistics in the E step; the M (maximization) step is as +above. +

+engine2 = jtree_inf_engine(bnet2);
+max_iter = 10;
+[bnet4, LLtrace] = learn_params_em(engine2, samples2, max_iter);
+
+LLtrace(i) is the log-likelihood at iteration i. We can plot this as +follows: +
+plot(LLtrace, 'x-')
+
+Let's display the results after 10 iterations of EM. +
+celldisp(CPT4)
+CPT4{1} =
+    0.6616
+    0.3384
+CPT4{2} =
+    0.6510    0.3490
+    0.8751    0.1249
+CPT4{3} =
+    0.8366    0.1634
+    0.0197    0.9803
+CPT4{4} =
+(:,:,1) =
+    0.8276    0.0546
+    0.5452    0.1658
+(:,:,2) =
+    0.1724    0.9454
+    0.4548    0.8342
+
+We can get improved performance by using one or more of the following +methods: +
    +
  • Increasing the size of the training set. +
  • Decreasing the amount of hidden data. +
  • Running EM for longer. +
  • Using informative priors. +
  • Initialising EM from multiple starting points. +
+ +Click
here for a discussion of learning +Gaussians, which can cause numerical problems. +

+For a more complete example of learning with EM, +see the script BNT/examples/static/learn1.m. + +

Parameter tying

+ +In networks with repeated structure (e.g., chains and grids), it is +common to assume that the parameters are the same at every node. This +is called parameter tying, and reduces the amount of data needed for +learning. +

+When we have tied parameters, there is no longer a one-to-one +correspondence between nodes and CPDs. +Rather, each CPD species the parameters for a whole equivalence class +of nodes. +It is easiest to see this by example. +Consider the following hidden Markov +model (HMM) +

+ +

+ +When HMMs are used for semi-infinite processes like speech recognition, +we assume the transition matrix +P(H(t+1)|H(t)) is the same for all t; this is called a time-invariant +or homogenous Markov chain. +Hence hidden nodes 2, 3, ..., T +are all in the same equivalence class, say class Hclass. +Similarly, the observation matrix P(O(t)|H(t)) is assumed to be the +same for all t, so the observed nodes are all in the same equivalence +class, say class Oclass. +Finally, the prior term P(H(1)) is in a class all by itself, say class +H1class. +This is illustrated below, where we explicitly represent the +parameters as random variables (dotted nodes). +

+ +

+In BNT, we cannot represent parameters as random variables (nodes). +Instead, we "hide" the +parameters inside one CPD for each equivalence class, +and then specify that the other CPDs should share these parameters, as +follows. +

+hnodes = 1:2:2*T;
+onodes = 2:2:2*T;
+H1class = 1; Hclass = 2; Oclass = 3;
+eclass = ones(1,N);
+eclass(hnodes(2:end)) = Hclass;
+eclass(hnodes(1)) = H1class;
+eclass(onodes) = Oclass;
+% create dag and ns in the usual way
+bnet = mk_bnet(dag, ns, 'discrete', dnodes, 'equiv_class', eclass);
+
+Finally, we define the parameters for each equivalence class: +
+bnet.CPD{H1class} = tabular_CPD(bnet, hnodes(1)); % prior
+bnet.CPD{Hclass} = tabular_CPD(bnet, hnodes(2)); % transition matrix
+if cts_obs
+  bnet.CPD{Oclass} = gaussian_CPD(bnet, onodes(1));
+else
+  bnet.CPD{Oclass} = tabular_CPD(bnet, onodes(1));
+end
+
+In general, if bnet.CPD{e} = xxx_CPD(bnet, j), then j should be a +member of e's equivalence class; that is, it is not always the case +that e == j. You can use bnet.rep_of_eclass(e) to return the +representative of equivalence class e. +BNT will look up the parents of j to determine the size +of the CPT to use. It assumes that this is the same for all members of +the equivalence class. +Click here for +a more complex example of parameter tying. +

+Note: +Normally one would define an HMM as a +Dynamic Bayes Net +(see the function BNT/examples/dynamic/mk_chmm.m). +However, one can define an HMM as a static BN using the function +BNT/examples/static/Models/mk_hmm_bnet.m. + + + +

Structure learning

+ +Update (9/29/03): +Phillipe LeRay is developing some additional structure learning code +on top of BNT. Click here +for details. + +

+ +There are two very different approaches to structure learning: +constraint-based and search-and-score. +In the constraint-based approach, +we start with a fully connected graph, and remove edges if certain +conditional independencies are measured in the data. +This has the disadvantage that repeated independence tests lose +statistical power. +

+In the more popular search-and-score approach, +we perform a search through the space of possible DAGs, and either +return the best one found (a point estimate), or return a sample of the +models found (an approximation to the Bayesian posterior). +

+Unfortunately, the number of DAGs as a function of the number of +nodes, G(n), is super-exponential in n. +A closed form formula for G(n) is not known, but the first few values +are shown below (from Cooper, 1999). + + + + + + + + + + + + + +
n G(n)
1 1
2 3
3 25
4 543
5 29,281
6 3,781,503
7 1.1 x 10^9
8 7.8 x 10^11
9 1.2 x 10^15
10 4.2 x 10^18
+ +Since the number of DAGs is super-exponential in the number of nodes, +we cannot exhaustively search the space, so we either use a local +search algorithm (e.g., greedy hill climbining, perhaps with multiple +restarts) or a global search algorithm (e.g., Markov Chain Monte +Carlo). +

+If we know a total ordering on the nodes, +finding the best structure amounts to picking the best set of parents +for each node independently. +This is what the K2 algorithm does. +If the ordering is unknown, we can search over orderings, +which is more efficient than searching over DAGs (Koller and Friedman, 2000). +

+In addition to the search procedure, we must specify the scoring +function. There are two popular choices. The Bayesian score integrates +out the parameters, i.e., it is the marginal likelihood of the model. +The BIC (Bayesian Information Criterion) is defined as +log P(D|theta_hat) - 0.5*d*log(N), where D is the data, theta_hat is +the ML estimate of the parameters, d is the number of parameters, and +N is the number of data cases. +The BIC method has the advantage of not requiring a prior. +

+BIC can be derived as a large sample +approximation to the marginal likelihood. +(It is also equal to the Minimum Description Length of a model.) +However, in practice, the sample size does not need to be very large +for the approximation to be good. +For example, in the figure below, we plot the ratio between the log marginal likelihood +and the BIC score against data-set size; we see that the ratio rapidly +approaches 1, especially for non-informative priors. +(This plot was generated by the file BNT/examples/static/bic1.m. It +uses the water sprinkler BN with BDeu Dirichlet priors with different +equivalent sample sizes.) + +

+

+ +
+

+ +

+As with parameter learning, handling missing data/ hidden variables is +much harder than the fully observed case. +The structure learning routines in BNT can therefore be classified into 4 +types, analogously to the parameter learning case. +

+ + + + + + + + + + + + + + + + +
Full obsPartial obs
Pointlearn_struct_K2
+ +
not yet supported
Bayeslearn_struct_mcmcnot yet supported
+ + +

Markov equivalence

+ +If two DAGs encode the same conditional independencies, they are +called Markov equivalent. The set of all DAGs can be paritioned into +Markov equivalence classes. Graphs within the same class can +have +the direction of some of their arcs reversed without changing any of +the CI relationships. +Each class can be represented by a PDAG +(partially directed acyclic graph) called an essential graph or +pattern. This specifies which edges must be oriented in a certain +direction, and which may be reversed. + +

+When learning graph structure from observational data, +the best one can hope to do is to identify the model up to Markov +equivalence. To distinguish amongst graphs within the same equivalence +class, one needs interventional data: see the discussion on active learning below. + + + +

Exhaustive search

+ +The brute-force approach to structure learning is to enumerate all +possible DAGs, and score each one. This provides a "gold standard" +with which to compare other algorithms. We can do this as follows. +
+dags = mk_all_dags(N);
+score = score_dags(data, ns, dags);
+
+where data(i,m) is the value of node i in case m, +and ns(i) is the size of node i. +If the DAGs have a lot of families in common, we can cache the sufficient statistics, +making this potentially more efficient than scoring the DAGs one at a time. +(Caching is not currently implemented, however.) +

+By default, we use the Bayesian scoring metric, and assume CPDs are +represented by tables with BDeu(1) priors. +We can override these defaults as follows. +If we want to use uniform priors, we can say +

+params = cell(1,N);
+for i=1:N
+  params{i} = {'prior', 'unif'};
+end
+score = score_dags(data, ns, dags, 'params', params);
+
+params{i} is a cell-array, containing optional arguments that are +passed to the constructor for CPD i. +

+Now suppose we want to use different node types, e.g., +Suppose nodes 1 and 2 are Gaussian, and nodes 3 and 4 softmax (both +these CPDs can support discrete and continuous parents, which is +necessary since all other nodes will be considered as parents). +The Bayesian scoring metric currently only works for tabular CPDs, so +we will use BIC: +

+score = score_dags(data, ns, dags, 'discrete', [3 4], 'params', [], 
+    'type', {'gaussian', 'gaussian', 'softmax', softmax'}, 'scoring_fn', 'bic')
+
+In practice, one can't enumerate all possible DAGs for N > 5, +but one can evaluate any reasonably-sized set of hypotheses in this +way (e.g., nearest neighbors of your current best guess). +Think of this as "computer assisted model refinement" as opposed to de +novo learning. + + +

K2

+ +The K2 algorithm (Cooper and Herskovits, 1992) is a greedy search algorithm that works as follows. +Initially each node has no parents. It then adds incrementally that parent whose addition most +increases the score of the resulting structure. When the addition of no single +parent can increase the score, it stops adding parents to the node. +Since we are using a fixed ordering, we do not need to check for +cycles, and can choose the parents for each node independently. +

+The original paper used the Bayesian scoring +metric with tabular CPDs and Dirichlet priors. +BNT generalizes this to allow any kind of CPD, and either the Bayesian +scoring metric or BIC, as in the example above. +In addition, you can specify +an optional upper bound on the number of parents for each node. +The file BNT/examples/static/k2demo1.m gives an example of how to use K2. +We use the water sprinkler network and sample 100 cases from it as before. +Then we see how much data it takes to recover the generating structure: +

+order = [C S R W];
+max_fan_in = 2;
+sz = 5:5:100;
+for i=1:length(sz)
+  dag2 = learn_struct_K2(data(:,1:sz(i)), node_sizes, order, 'max_fan_in', max_fan_in);
+  correct(i) = isequal(dag, dag2);
+end
+
+Here are the results. +
+correct =
+  Columns 1 through 12 
+     0     0     0     0     0     0     0     1     0     1     1     1
+  Columns 13 through 20 
+     1     1     1     1     1     1     1     1
+
+So we see it takes about sz(10)=50 cases. (BIC behaves similarly, +showing that the prior doesn't matter too much.) +In general, we cannot hope to recover the "true" generating structure, +only one that is in its Markov equivalence +class. + + +

Hill-climbing

+ +Hill-climbing starts at a specific point in space, +considers all nearest neighbors, and moves to the neighbor +that has the highest score; if no neighbors have higher +score than the current point (i.e., we have reached a local maximum), +the algorithm stops. One can then restart in another part of the space. +

+A common definition of "neighbor" is all graphs that can be +generated from the current graph by adding, deleting or reversing a +single arc, subject to the acyclicity constraint. +Other neighborhoods are possible: see + +Optimal Structure Identification with Greedy Search, Max +Chickering, JMLR 2002. + + + + +

MCMC

+ +We can use a Markov Chain Monte Carlo (MCMC) algorithm called +Metropolis-Hastings (MH) to search the space of all +DAGs. +The standard proposal distribution is to consider moving to all +nearest neighbors in the sense defined above. +

+The function can be called +as in the following example. +

+[sampled_graphs, accept_ratio] = learn_struct_mcmc(data, ns, 'nsamples', 100, 'burnin', 10);
+
+We can convert our set of sampled graphs to a histogram +(empirical posterior over all the DAGs) thus +
+all_dags = mk_all_dags(N);
+mcmc_post = mcmc_sample_to_hist(sampled_graphs, all_dags);
+
+To see how well this performs, let us compute the exact posterior exhaustively. +

+

+score = score_dags(data, ns, all_dags);
+post = normalise(exp(score)); % assuming uniform structural prior
+
+We plot the results below. +(The data set was 100 samples drawn from a random 4 node bnet; see the +file BNT/examples/static/mcmc1.) +
+subplot(2,1,1)
+bar(post)
+subplot(2,1,2)
+bar(mcmc_post)
+
+ +

+We can also plot the acceptance ratio versus number of MCMC steps, +as a crude convergence diagnostic. +

+clf
+plot(accept_ratio)
+
+ +

+Even though the number of samples needed by MCMC is theoretically +polynomial (not exponential) in the dimensionality of the search space, in practice it has been +found that MCMC does not converge in reasonable time for graphs with +more than about 10 nodes. + + + + +

Active structure learning

+ +As was mentioned above, +one can only learn a DAG up to Markov equivalence, even given infinite data. +If one is interested in learning the structure of a causal network, +one needs interventional data. +(By "intervention" we mean forcing a node to take on a specific value, +thereby effectively severing its incoming arcs.) +

+Most of the scoring functions accept an optional argument +that specifies whether a node was observed to have a certain value, or +was forced to have that value: we set clamped(i,m)=1 if node i was +forced in training case m. e.g., see the file +BNT/examples/static/cooper_yoo. +

+An interesting question is to decide which interventions to perform +(c.f., design of experiments). For details, see the following tech +report +

+ + +

Structural EM

+ +Computing the Bayesian score when there is partial observability is +computationally challenging, because the parameter posterior becomes +multimodal (the hidden nodes induce a mixture distribution). +One therefore needs to use approximations such as BIC. +Unfortunately, search algorithms are still expensive, because we need +to run EM at each step to compute the MLE, which is needed to compute +the score of each model. An alternative approach is +to do the local search steps inside of the M step of EM, which is more +efficient since the data has been "filled in" - this is +called the structural EM algorithm (Friedman 1997), and provably +converges to a local maximum of the BIC score. +

+Wei Hu has implemented SEM for discrete nodes. +You can download his package from +here. +Please address all questions about this code to +wei.hu@intel.com. +See also Phl's implementation of SEM. + + + + +

Visualizing the graph

+ +You can visualize an arbitrary graph (such as one learned using the +structure learning routines) with Matlab code contributed by +Ali +Taylan Cemgil +from the University of Nijmegen. +For static BNs, call it as follows: +
+draw_graph(bnet.dag);
+
+For example, this is the output produced on a +random QMR-like model: +

+ +

+If you install the excellent graphhviz, an +open-source graph visualization package from AT&T, +you can create a much better visualization as follows +

+graph_to_dot(bnet.dag)
+
+This works by converting the adjacency matrix to a file suitable +for input to graphviz (using the dot format), +then converting the output of graphviz to postscript, and displaying the results using +ghostview. +You can do each of these steps separately for more control, as shown +below. +
+graph_to_dot(bnet.dag, 'filename', 'foo.dot');
+dot -Tps foo.dot -o foo.ps
+ghostview foo.ps &
+
+ +

Constraint-based methods

+ +The IC algorithm (Pearl and Verma, 1991), +and the faster, but otherwise equivalent, PC algorithm (Spirtes, Glymour, and Scheines 1993), +computes many conditional independence tests, +and combines these constraints into a +PDAG to represent the whole +Markov equivalence class. +

+IC*/FCI extend IC/PC to handle latent variables: see below. +(IC stands for inductive causation; PC stands for Peter and Clark, +the first names of Spirtes and Glymour; FCI stands for fast causal +inference. +What we, following Pearl (2000), call IC* was called +IC in the original Pearl and Verma paper.) +For details, see +

+ +

+ +The PC algorithm takes as arguments a function f, the number of nodes N, +the maximum fan in K, and additional arguments A which are passed to f. +The function f(X,Y,S,A) returns 1 if X is conditionally independent of Y given S, and 0 +otherwise. +For example, suppose we cheat by +passing in a CI "oracle" which has access to the true DAG; the oracle +tests for d-separation in this DAG, i.e., +f(X,Y,S) calls dsep(X,Y,S,dag). We can to this as follows. +

+pdag = learn_struct_pdag_pc('dsep', N, max_fan_in, dag);
+
+pdag(i,j) = -1 if there is definitely an i->j arc, +and pdag(i,j) = 1 if there is either an i->j or and i<-j arc. +

+Applied to the sprinkler network, this returns +

+pdag =
+     0     1     1     0
+     1     0     0    -1
+     1     0     0    -1
+     0     0     0     0
+
+So as expected, we see that the V-structure at the W node is uniquely identified, +but the other arcs have ambiguous orientation. +

+We now give an example from p141 (1st edn) / p103 (2nd end) of the SGS +book. +This example concerns the female orgasm. +We are given a correlation matrix C between 7 measured factors (such +as subjective experiences of coital and masturbatory experiences), +derived from 281 samples, and want to learn a causal model of the +data. We will not discuss the merits of this type of work here, but +merely show how to reproduce the results in the SGS book. +Their program, +Tetrad, +makes use of the Fisher Z-test for conditional +independence, so we do the same: +

+max_fan_in = 4;
+nsamples = 281;
+alpha = 0.05;
+pdag = learn_struct_pdag_pc('cond_indep_fisher_z', n, max_fan_in, C, nsamples, alpha);
+
+In this case, the CI test is +
+f(X,Y,S) = cond_indep_fisher_z(X,Y,S,  C,nsamples,alpha)
+
+The results match those of Fig 12a of SGS apart from two edge +differences; presumably this is due to rounding error (although it +could be a bug, either in BNT or in Tetrad). +This example can be found in the file BNT/examples/static/pc2.m. + +

+ +The IC* algorithm (Pearl and Verma, 1991), +and the faster FCI algorithm (Spirtes, Glymour, and Scheines 1993), +are like the IC/PC algorithm, except that they can detect the presence +of latent variables. +See the file learn_struct_pdag_ic_star written by Tamar +Kushnir. The output is a matrix P, defined as follows +(see Pearl (2000), p52 for details): +

+% P(i,j) = -1 if there is either a latent variable L such that i <-L->j OR there is a directed edge from i->j.
+% P(i,j) = -2 if there is a marked directed i-*>j edge.
+% P(i,j) = P(j,i) = 1 if there is and undirected edge i--j
+% P(i,j) = P(j,i) = 2 if there is a latent variable L such that i<-L->j.
+
+ + +

Philippe Leray's structure learning package

+ +Philippe Leray has written a + +structure learning package that uses BNT. + +It currently (Juen 2003) has the following features: +
    +
  • PC with Chi2 statistical test +
  • MWST : Maximum weighted Spanning Tree +
  • Hill Climbing +
  • Greedy Search +
  • Structural EM +
  • hist_ic : optimal Histogram based on IC information criterion +
  • cpdag_to_dag +
  • dag_to_cpdag +
  • ... +
+ + + + + + + + + + + +

Inference engines

+ +Up until now, we have used the junction tree algorithm for inference. +However, sometimes this is too slow, or not even applicable. +In general, there are many inference algorithms each of which make +different tradeoffs between speed, accuracy, complexity and +generality. Furthermore, there might be many implementations of the +same algorithm; for instance, a general purpose, readable version, +and a highly-optimized, specialized one. +To cope with this variety, we treat each inference algorithm as an +object, which we call an inference engine. + +

+An inference engine is an object that contains a bnet and supports the +'enter_evidence' and 'marginal_nodes' methods. The engine constructor +takes the bnet as argument and may do some model-specific processing. +When 'enter_evidence' is called, the engine may do some +evidence-specific processing. Finally, when 'marginal_nodes' is +called, the engine may do some query-specific processing. + +

+The amount of work done when each stage is specified -- structure, +parameters, evidence, and query -- depends on the engine. The cost of +work done early in this sequence can be amortized. On the other hand, +one can make better optimizations if one waits until later in the +sequence. +For example, the parameters might imply +conditional indpendencies that are not evident in the graph structure, +but can nevertheless be exploited; the evidence indicates which nodes +are observed and hence can effectively be disconnected from the +graph; and the query might indicate that large parts of the network +are d-separated from the query nodes. (Since it is not the actual +values of the evidence that matters, just which nodes are observed, +many engines allow you to specify which nodes will be observed when they are constructed, +i.e., before calling 'enter_evidence'. Some engines can still cope if +the actual pattern of evidence is different, e.g., if there is missing +data.) +

+ +Although being maximally lazy (i.e., only doing work when a query is +issued) may seem desirable, +this is not always the most efficient. +For example, +when learning using EM, we need to call marginal_nodes N times, where N is the +number of nodes. Variable elimination would end +up repeating a lot of work +each time marginal_nodes is called, making it inefficient for +learning. The junction tree algorithm, by contrast, uses dynamic +programming to avoid this redundant computation --- it calculates all +marginals in two passes during 'enter_evidence', so calling +'marginal_nodes' takes constant time. +

+We will discuss some of the inference algorithms implemented in BNT +below, and finish with a summary of all +of them. + + + + + + + +

Variable elimination

+ +The variable elimination algorithm, also known as bucket elimination +or peeling, is one of the simplest inference algorithms. +The basic idea is to "push sums inside of products"; this is explained +in more detail +here. +

+The principle of distributing sums over products can be generalized +greatly to apply to any commutative semiring. +This forms the basis of many common algorithms, such as Viterbi +decoding and the Fast Fourier Transform. For details, see + +

+ +

+Choosing an order in which to sum out the variables so as to minimize +computational cost is known to be NP-hard. +The implementation of this algorithm in +var_elim_inf_engine makes no attempt to optimize this +ordering (in contrast, say, to jtree_inf_engine, which uses a +greedy search procedure to find a good ordering). +

+Note: unlike most algorithms, var_elim does all its computational work +inside of marginal_nodes, not inside of +enter_evidence. + + + + +

Global inference methods

+ +The simplest inference algorithm of all is to explicitely construct +the joint distribution over all the nodes, and then to marginalize it. +This is implemented in global_joint_inf_engine. +Since the size of the joint is exponential in the +number of discrete (hidden) nodes, this is not a very practical algorithm. +It is included merely for pedagogical and debugging purposes. +

+Three specialized versions of this algorithm have also been implemented, +corresponding to the cases where all the nodes are discrete (D), all +are Gaussian (G), and some are discrete and some Gaussian (CG). +They are called enumerative_inf_engine, +gaussian_inf_engine, +and cond_gauss_inf_engine respectively. +

+Note: unlike most algorithms, these global inference algorithms do all their computational work +inside of marginal_nodes, not inside of +enter_evidence. + + +

Quickscore

+ +The junction tree algorithm is quite slow on the QMR network, +since the cliques are so big. +One simple trick we can use is to notice that hidden leaves do not +affect the posteriors on the roots, and hence do not need to be +included in the network. +A second trick is to notice that the negative findings can be +"absorbed" into the prior: +see the file +BNT/examples/static/mk_minimal_qmr_bnet for details. +

+ +A much more significant speedup is obtained by exploiting special +properties of the noisy-or node, as done by the quickscore +algorithm. For details, see +

    +
  • Heckerman, "A tractable inference algorithm for diagnosing multiple diseases", UAI 89. +
  • Rish and Dechter, "On the impact of causal independence", UCI +tech report, 1998. +
+ +This has been implemented in BNT as a special-purpose inference +engine, which can be created and used as follows: +
+engine = quickscore_inf_engine(inhibit, leak, prior);
+engine = enter_evidence(engine, pos, neg);
+m = marginal_nodes(engine, i);
+
+ + +

Belief propagation

+ +Even using quickscore, exact inference takes time that is exponential +in the number of positive findings. +Hence for large networks we need to resort to approximate inference techniques. +See for example +
    +
  • T. Jaakkola and M. Jordan, "Variational probabilistic inference and the +QMR-DT network", JAIR 10, 1999. + +
  • K. Murphy, Y. Weiss and M. Jordan, "Loopy belief propagation for approximate inference: an empirical study", + UAI 99. +
+The latter approximation +entails applying Pearl's belief propagation algorithm to a model even +if it has loops (hence the name loopy belief propagation). +Pearl's algorithm, implemented as pearl_inf_engine, gives +exact results when applied to singly-connected graphs +(a.k.a. polytrees, since +the underlying undirected topology is a tree, but a node may have +multiple parents). +To apply this algorithm to a graph with loops, +use pearl_inf_engine. +This can use a centralized or distributed message passing protocol. +You can use it as in the following example. +
+engine = pearl_inf_engine(bnet, 'max_iter', 30);
+engine = enter_evidence(engine, evidence);
+m = marginal_nodes(engine, i);
+
+We found that this algorithm often converges, and when it does, often +is very accurate, but it depends on the precise setting of the +parameter values of the network. +(See the file BNT/examples/static/qmr1 to repeat the experiment for yourself.) +Understanding when and why belief propagation converges/ works +is a topic of ongoing research. +

+pearl_inf_engine can exploit special structure in noisy-or +and gmux nodes to compute messages efficiently. +

+belprop_inf_engine is like pearl, but uses potentials to +represent messages. Hence this is slower. +

+belprop_fg_inf_engine is like belprop, +but is designed for factor graphs. + + + +

Sampling

+ +BNT now (Mar '02) has two sampling (Monte Carlo) inference algorithms: + +Note: To generate samples from a network (which is not the same as inference!), +use sample_bnet. + + + +

Summary of inference engines

+ + +The inference engines differ in many ways. Here are +some of the major "axes": +
    +
  • Works for all topologies or makes restrictions? +
  • Works for all node types or makes restrictions? +
  • Exact or approximate inference? +
+ +

+In terms of topology, most engines handle any kind of DAG. +belprop_fg does approximate inference on factor graphs (FG), which +can be used to represent directed, undirected, and mixed (chain) +graphs. +(In the future, we plan to support exact inference on chain graphs.) +quickscore only works on QMR-like models. +

+In terms of node types: algorithms that use potentials can handle +discrete (D), Gaussian (G) or conditional Gaussian (CG) models. +Sampling algorithms can essentially handle any kind of node (distribution). +Other algorithms make more restrictive assumptions in exchange for +speed. +

+Finally, most algorithms are designed to give the exact answer. +The belief propagation algorithms are exact if applied to trees, and +in some other cases. +Sampling is considered approximate, even though, in the limit of an +infinite number of samples, it gives the exact answer. + +

+ +Here is a summary of the properties +of all the engines in BNT which work on static networks. +

+ +
+ + + + + + + + + + + + + + + +
Name +Exact? +Node type? +topology +
belprop + approx + D + DAG +
belprop_fg + approx + D + factor graph +
cond_gauss + exact + CG + DAG +
enumerative + exact + D + DAG +
gaussian + exact + G + DAG +
gibbs + approx + D + DAG +
global_joint + exact + D,G,CG + DAG +
jtree + exact + D,G,CG + DAG +b
likelihood_weighting + approx + any + DAG +
pearl + approx + D,G + DAG +
pearl + exact + D,G + polytree +
quickscore + exact + noisy-or + QMR +
stab_cond_gauss + exact + CG + DAG +
var_elim + exact + D,G,CG + DAG +
+ + + +

Influence diagrams/ decision making

+ +BNT implements an exact algorithm for solving LIMIDs (limited memory +influence diagrams), described in + +LIMIDs explicitely show all information arcs, rather than implicitely +assuming no forgetting. This allows them to model forgetful +controllers. +

+See the examples in BNT/examples/limids for details. + + + + +

DBNs, HMMs, Kalman filters and all that

+ +Click here for documentation about how to +use BNT for dynamical systems and sequence data. + + + diff --git a/sourcecodes/bnt-master/docs/whyNotSourceforge.html b/sourcecodes/bnt-master/docs/whyNotSourceforge.html new file mode 100644 index 00000000..7c17e425 --- /dev/null +++ b/sourcecodes/bnt-master/docs/whyNotSourceforge.html @@ -0,0 +1,17 @@ +On 4 October 2007, I decided to move BNT back from +sourceforge to my +own website, where I could modify it more easily. I have no plans to +add new functionality, but I at least want it to ensure it runs +correctly on new versions of matlab. Despite new users complaining on +the Yahoo group that BNT would +not work on the latest version of Matlab, nobody in the sourceforce +community did anything about it. As an opensource project, it was basically +a failure (although I would like +to thank Nicholas Saunier and Tom Murray (yozhik) for +making code updates, +as well as Hiroaki Ogawa and mayliszt, +and Bob Welch for answering many questions on the newsgroup.) +For historical purposes, +v1.0.3 (as of 4 Oct 07) has been cached +here. + diff --git a/sourcecodes/bnt-master/foptions.m b/sourcecodes/bnt-master/foptions.m new file mode 100644 index 00000000..50971ae3 --- /dev/null +++ b/sourcecodes/bnt-master/foptions.m @@ -0,0 +1,11 @@ +function opt_vect = foptions() +% FOPTIONS Sets default parameters for optimisation routines +% For compatibility with MATLAB's foptions() +% +% Copyright (c) Dharmesh Maniyar, Ian T. Nabney (2004) + +opt_vect = zeros(1, 18); +opt_vect(2:3) = 1e-4; +opt_vect(4) = 1e-6; +opt_vect(16) = 1e-8; +opt_vect(17) = 0.1; \ No newline at end of file diff --git a/sourcecodes/bnt-master/genpathKPM.m b/sourcecodes/bnt-master/genpathKPM.m new file mode 100644 index 00000000..070cfb96 --- /dev/null +++ b/sourcecodes/bnt-master/genpathKPM.m @@ -0,0 +1,46 @@ +function p = genpathKPM(d) +% genpathKPM Like built-in genpath, but omits directories whose name is 'Old', 'old' or 'CVS' +% function p = genpathKPM(d) + +if nargin==0, + p = genpath(fullfile(matlabroot,'toolbox')); + if length(p) > 1, p(end) = []; end % Remove trailing pathsep + return +end + +% initialise variables +methodsep = '@'; % qualifier for overloaded method directories +p = ''; % path to be returned + +% Generate path based on given root directory +files = dir(d); +if isempty(files) + return +end + +% Add d to the path even if it is empty. +p = [p d pathsep]; + +% set logical vector for subdirectory entries in d +isdir = logical(cat(1,files.isdir)); +% +% Recursively descend through directories which are neither +% private nor "class" directories. +% +dirs = files(isdir); % select only directory entries from the current listing + +for i=1:length(dirs) + dirname = dirs(i).name; + if ~strcmp( dirname,'.') && ... + ~strcmp( dirname,'..') && ... + ~strcmp( dirname,'.svn') && ... + ~strncmp( dirname,methodsep,1)&& ... + ~strcmp( dirname,'private') && ... + ~strcmp( dirname, 'CVS') && ... + isempty(strfind(dirname, 'Old')) && ... + isempty(strfind(dirname, 'old')) + p = [p genpathKPM(fullfile(d,dirname))]; % recursive calling of this function. + end +end + +%------------------------------------------------------------------------------ diff --git a/sourcecodes/bnt-master/graph/CVS/Entries b/sourcecodes/bnt-master/graph/CVS/Entries new file mode 100644 index 00000000..cf3baf2c --- /dev/null +++ b/sourcecodes/bnt-master/graph/CVS/Entries @@ -0,0 +1,49 @@ +/README.txt/1.1.1.1/Mon Aug 29 17:44:02 2005// +/acyclic.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/assignEdgeNums.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/best_first_elim_order.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/check_jtree_property.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/check_triangulated.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/children.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/cliques_to_jtree.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/cliques_to_strong_jtree.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/connected_graph.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/dag_to_essential_graph.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/dfs.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/dfs_test.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/dijkstra.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/family.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/graph_separated.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/graph_to_jtree.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/min_subtree_con_nodes.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/minimum_spanning_tree.m/1.1.1.1/Mon Aug 29 17:44:04 2005// +/minspan.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_2D_lattice.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_2D_lattice_slow.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_adj_mat.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_adjmat_chain.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_all_dags.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_nbrs_of_dag.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_nbrs_of_digraph.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_nbrs_of_digraph_broken.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_nbrs_of_digraph_not_vectorized.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_rnd_dag.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_rnd_dag_given_edge_prob.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_rooted_tree.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/mk_undirected.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/moralize.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/neighbors.m/1.1.1.1/Mon Aug 29 17:44:06 2005// +/parents.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/pred2path.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/reachability_graph.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/scc.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/strong_elim_order.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/test.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/test_strong_root.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/topological_sort.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/trees.txt/1.1.1.1/Mon Aug 29 17:44:08 2005// +/triangulate.c/1.1.1.1/Mon Aug 29 17:44:08 2005// +/triangulate.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/triangulate_2Dlattice_demo.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +/triangulate_test.m/1.1.1.1/Mon Aug 29 17:44:08 2005// +D diff --git a/sourcecodes/bnt-master/graph/CVS/Entries.Log b/sourcecodes/bnt-master/graph/CVS/Entries.Log new file mode 100644 index 00000000..24f16336 --- /dev/null +++ b/sourcecodes/bnt-master/graph/CVS/Entries.Log @@ -0,0 +1 @@ +A D/Old//// diff --git a/sourcecodes/bnt-master/graph/CVS/Repository b/sourcecodes/bnt-master/graph/CVS/Repository new file mode 100644 index 00000000..a18677ae --- /dev/null +++ b/sourcecodes/bnt-master/graph/CVS/Repository @@ -0,0 +1 @@ +FullBNT/graph diff --git a/sourcecodes/bnt-master/graph/CVS/Root b/sourcecodes/bnt-master/graph/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/graph/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/graph/Old/CVS/Entries b/sourcecodes/bnt-master/graph/Old/CVS/Entries new file mode 100644 index 00000000..c45011ba --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/CVS/Entries @@ -0,0 +1,6 @@ +/best_first_elim_order.m/1.1.1.1/Mon Aug 29 17:44:02 2005// +/dag_to_jtree.m/1.1.1.1/Mon Aug 29 17:44:02 2005// +/dfs.m/1.1.1.1/Mon Aug 29 17:44:02 2005// +/dsep_test.m/1.1.1.1/Mon Aug 29 17:44:02 2005// +/mk_2D_lattice_slow.m/1.1.1.1/Mon Aug 29 17:44:02 2005// +D diff --git a/sourcecodes/bnt-master/graph/Old/CVS/Repository b/sourcecodes/bnt-master/graph/Old/CVS/Repository new file mode 100644 index 00000000..f3b2d81f --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/CVS/Repository @@ -0,0 +1 @@ +FullBNT/graph/Old diff --git a/sourcecodes/bnt-master/graph/Old/CVS/Root b/sourcecodes/bnt-master/graph/Old/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/graph/Old/best_first_elim_order.m b/sourcecodes/bnt-master/graph/Old/best_first_elim_order.m new file mode 100644 index 00000000..82f1236b --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/best_first_elim_order.m @@ -0,0 +1,64 @@ +function order = best_first_elim_order(G, node_sizes, stage) +% BEST_FIRST_ELIM_ORDER Greedily search for an optimal elimination order. +% order = best_first_elim_order(moral_graph, node_sizes) +% +% Find an order in which to eliminate nodes from the graph in such a way as to try and minimize the +% weight of the resulting triangulated graph. The weight of a graph is the sum of the weights of each +% of its cliques; the weight of a clique is the product of the weights of each of its members; the +% weight of a node is the number of values it can take on. +% +% Since this is an NP-hard problem, we use the following greedy heuristic: +% at each step, eliminate that node which will result in the addition of the least +% number of fill-in edges, breaking ties by choosing the node that induces the lighest clique. +% For details, see +% - Kjaerulff, "Triangulation of graphs -- algorithms giving small total state space", +% Univ. Aalborg tech report, 1990 (www.cs.auc.dk/~uk) +% - C. Huang and A. Darwiche, "Inference in Belief Networks: A procedural guide", +% Intl. J. Approx. Reasoning, 11, 1994 +% + +% Warning: This code is pretty old and could probably be made faster. + +n = length(G); +if nargin < 3, stage = { 1:n }; end % no constraints + +% For long DBNs, it may be useful to eliminate all the nodes in slice t before slice t+1. +% This will ensure that the jtree has a repeating structure (at least away from both edges). +% This is why we have stages. +% See the discussion of splicing jtrees on p68 of +% Geoff Zweig's PhD thesis, Dept. Comp. Sci., UC Berkeley, 1998. +% This constraint can increase the clique size significantly. + +MG = G; % copy the original graph +uneliminated = ones(1,n); +order = zeros(1,n); +t = 1; % Counts which time slice we are on +for i=1:n + U = find(uneliminated); + valid = myintersect(U, stage{t}); + % Choose the best node from the set of valid candidates + score1 = zeros(1,length(valid)); + score2 = zeros(1,length(valid)); + for j=1:length(valid) + k = valid(j); + ns = myintersect(neighbors(G, k), U); + l = length(ns); + M = MG(ns,ns); + score1(j) = l^2 - sum(M(:)); % num. added edges + score2(j) = prod(node_sizes([k ns])); % weight of clique + end + j1s = find(score1==min(score1)); + j = j1s(argmin(score2(j1s))); + k = valid(j); + uneliminated(k) = 0; + order(i) = k; + ns = myintersect(neighbors(G, k), U); + if ~isempty(ns) + G(ns,ns) = 1; + G = setdiag(G,0); + end + if ~any(logical(uneliminated(stage{t}))) % are we allowed to the next slice? + t = t + 1; + end +end + diff --git a/sourcecodes/bnt-master/graph/Old/dag_to_jtree.m b/sourcecodes/bnt-master/graph/Old/dag_to_jtree.m new file mode 100644 index 00000000..23c58430 --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/dag_to_jtree.m @@ -0,0 +1,55 @@ +function [jtree, root, cliques, B, w, elim_order, moral_edges, fill_in_edges, strong] = ... + dag_to_jtree(dag, node_sizes, partial_order, stages, clusters) +% DAG_TO_JTREE Moralize and triangulate a DAG, and make a junction tree from its cliques. +% [jtree, root, cliques, B, w, elim_order, moral_edges, fill_in_edges, strong] = ... +% dag_to_jtree(dag, node_sizes, partial_order, stages, clusters) +% +% Input: +% dag(i,j) +% jtree(i,j) = 1 iff there is an arc between clique i and clique j +% root = the root clique +% cliques{i} = the nodes in clique i +% B(i,j) = 1 iff node j occurs in clique i +% w(i) = weight of clique i + +N = length(bnet.dag); +if nargin < 2, obs_nodes = []; end +if nargin < 3, stages = { 1:N }; end +if nargin < 4, clusters = {}; end + +[MG, moral_edges] = moralize(bnet.dag); + +% Add extra arcs between nodes in each cluster to ensure they occur in the same clique +for i=1:length(clusters) + c = clusters{i}; + MG(c,c) = 1; +end +MG = setdiag(MG, 0); + +% Find an optimal elimination ordering (NP-hard problem!) +ns = bnet.node_sizes(:); +ns(obs_nodes) = 1; % observed nodes have only 1 possible value +partial_order = determine_elim_constraints(bnet, obs_nodes); + +if isempty(partial_order) + strong = 0; + elim_order = best_first_elim_order(MG, ns, stages); +else + strong = 1; + elim_order = strong_elim_order(MG, ns, partial_order); +end + +[MTG, cliques, fill_in_edges] = triangulate(MG, elim_order); + +% Connect the cliques up into a jtree, +[jtree, root, B, w] = cliques_to_jtree(cliques, ns); + +if 0 + disp('testing dag to jtree'); + % Find the cliques containing each node, and check they form a connected subtree + clqs_con_node = cell(1,N); + for i=1:N + clqs_con_node{i} = find(B(:,i))'; + end + check_jtree_property(clqs_con_node, jtree); +end diff --git a/sourcecodes/bnt-master/graph/Old/dfs.m b/sourcecodes/bnt-master/graph/Old/dfs.m new file mode 100644 index 00000000..0c7f46ab --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/dfs.m @@ -0,0 +1,84 @@ +function [d, pre, post, height, cycle, pred] = dfs(adj_mat, start, directed) +% DFS Perform a depth-first search of the graph starting from 'start'. +% [d, pre, post, height, cycle, pred] = dfs(adj_mat, start, directed) +% +% d(i) is the time at which node i is first discovered. +% pre is a listing of the nodes in the order in which they are first encountered (opened). +% post is a listing of the nodes in the order in which they are last encountered (closed). +% A node is last encountered once we have explored all of its neighbors. +% If the graph is directed, i's neighbors are its children. +% If the graph is a tree, preorder is parents before children, and +% postorder is children before parents. +% For a DAG, topological order = reverse(postorder). +% height(i) is the height (distance) of node i from the start. +% 'cycle' is true iff a (directed) cycle is found. +% pred(i) is the parent of i in the dfs tree rooted at start. +% See Cormen, Leiserson and Rivest, "An intro. to algorithms" 1994, p478. + +% We can detect undirected cycles by checking if we are about to visit a node n which we have +% already visited. To detect *directed* cycles, we need to know if n has been closed or is still open. +% For example (where arcs are directed down) +% 1 2 +% \ / +% 3 +% Assume we visit 1, 3 and then 2 in order. The fact that a child of 2 (namely, 3) has +% already been visited is okay, because 3 has been closed. +% The algorithms in Aho, Hopcroft and Ullman, and Sedgewick, do not detect directed cycles. + +n = length(adj_mat); + +global white gray black +white = 0; gray = 1; black = 2; + +color = white*ones(1,n); +d = zeros(1,n); +height = zeros(1,n); +pred = zeros(1,n); +pre = []; +post = []; +cycle = 0; +global count +count = 0; +h = 0; +[d, pre, post, height, cycle, color, pred] = ... + dfs2(adj_mat, start, directed, h, d, pre, post, height, cycle, color, pred); + + + +%%%%%%%%%% + +function [d, pre, post, height, cycle, color, pred] = ... + dfs2(adj_mat, i, directed, h, d, pre, post, height, cycle, color, pred) + +global count +global white gray black + +color(i) = gray; +count = count + 1; +d(i) = count; +pre = [pre i]; +height(i) = h; +if directed + ns = children(adj_mat, i); +else + ns = neighbors(adj_mat, i); +end +for j=1:length(ns) + n=ns(j); + if ~directed & n==pred(i) % don't go back up the edge you just came down + % continue + else + if color(n) == gray % going back to a non-closed vertex via a new edge + %fprintf(1, 'cycle from %d to %d\n', i, n); + cycle = 1; + end + if color(n) == white % not visited n before + pred(n)=i; + [d, pre, post, height, cycle, color, pred] = ... + dfs2(adj_mat, n, directed, h+1, d, pre, post, height, cycle, color, pred); + end + end +end +color(i) = black; +post = [post i]; + diff --git a/sourcecodes/bnt-master/graph/Old/dsep_test.m b/sourcecodes/bnt-master/graph/Old/dsep_test.m new file mode 100644 index 00000000..f0f14638 --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/dsep_test.m @@ -0,0 +1,15 @@ + +% Cowell et al p72 +G = zeros(10); +G(1,2)=1; +G(2,3)=1; +G(3,7)=1; +G(4,[5 8])=1; +G(5,6)=1; +G(6,7)=1; +G(7,[9 10])=1; +G(8,9)=1; + +dsep(1, 4, [5 7], G) +dsep(1, 4, [7], G) +dsep(1, 4, [10 5], G) diff --git a/sourcecodes/bnt-master/graph/Old/mk_2D_lattice_slow.m b/sourcecodes/bnt-master/graph/Old/mk_2D_lattice_slow.m new file mode 100644 index 00000000..e5f595b7 --- /dev/null +++ b/sourcecodes/bnt-master/graph/Old/mk_2D_lattice_slow.m @@ -0,0 +1,121 @@ +function G = mk_2D_lattice(nrows, ncols, wrap_around) +% MK_2D_LATTICE Return adjacency matrix for 4-nearest neighbor connected 2D lattice +% G = mk_2D_lattice(nrows, ncols, wrap_around) +% G(k1, k2) = 1 iff k1=(i1,j1) is connected to k2=(i2,j2) +% +% If wrap_around = 1, we use toroidal boundary conditions (default = 0) +% +% Nodes are assumed numbered as in the following 3x3 lattice +% 1 4 7 +% 2 5 8 +% 3 6 9 +% +% e.g., G = mk_2D_lattice(3, 3, 0) returns +% 0 1 0 1 0 0 0 0 0 +% 1 0 1 0 1 0 0 0 0 +% 0 1 0 0 0 1 0 0 0 +% 1 0 0 0 1 0 1 0 0 +% 0 1 0 1 0 1 0 1 0 +% 0 0 1 0 1 0 0 0 1 +% 0 0 0 1 0 0 0 1 0 +% 0 0 0 0 1 0 1 0 1 +% 0 0 0 0 0 1 0 1 0 +% so find(G(5,:)) = [2 4 6 8] +% but find(G(1,:)) = [2 4] +% +% Using wrap around, G = mk_2D_lattice(3, 3, 1), we get +% 0 1 1 1 0 0 1 0 0 +% 1 0 1 0 1 0 0 1 0 +% 1 1 0 0 0 1 0 0 1 +% 1 0 0 0 1 1 1 0 0 +% 0 1 0 1 0 1 0 1 0 +% 0 0 1 1 1 0 0 0 1 +% 1 0 0 1 0 0 0 1 1 +% 0 1 0 0 1 0 1 0 1 +% 0 0 1 0 0 1 1 1 0 +% so find(G(5,:)) = [2 4 6 8] +% and find(G(1,:)) = [2 3 4 7] + +if nargin < 3, wrap_around = 0; end + +% M contains the number of each cell e.g. +% 1 4 7 +% 2 5 8 +% 3 6 9 +% North neighbors (assuming wrap around) are +% 3 6 9 +% 1 4 7 +% 2 5 8 +% Without wrap around, they are +% 1 4 7 +% 1 4 7 +% 2 5 8 +% The first row is arbitrary, since pixels at the top have no north neighbor. + +npixels = nrows*ncols; + +N = 1; E = 2; S = 3; W = 4; +if wrap_around + rows{N} = [nrows 1:nrows-1]; cols{N} = 1:ncols; + rows{E} = 1:nrows; cols{E} = [2:ncols 1]; + rows{S} = [2:nrows 1]; cols{S} = 1:ncols; + rows{W} = 1:nrows; cols{W} = [ncols 1:ncols-1]; +else + rows{N} = [1 1:nrows-1]; cols{N} = 1:ncols; + rows{E} = 1:nrows; cols{E} = [2:ncols 2]; + rows{S} = [2:nrows 2]; cols{S} = 1:ncols; + rows{W} = 1:nrows; cols{W} = [1 1:ncols-1]; +end + +M = reshape(1:npixels, [nrows ncols]); +nbrs = cell(1, 4); +for i=1:4 + nbrs{i} = M(rows{i}, cols{i}); +end + + +G = zeros(npixels, npixels); +if wrap_around + for i=1:4 + if 0 + % naive + for p=1:npixels + G(p, nbrs{i}(p)) = 1; + end + else + % vectorized + ndx2 = sub2ind([npixels npixels], 1:npixels, nbrs{i}(:)'); + G(ndx2) = 1; + end + end +else + i = N; + mask = ones(nrows, ncols); + mask(1,:) = 0; % pixels in row 1 have no nbr to the north + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = E; + mask = ones(nrows, ncols); + mask(:,ncols) = 0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = S; + mask = ones(nrows, ncols); + mask(nrows,:)=0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = W; + mask = ones(nrows, ncols); + mask(:,1)=0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; +end + +G = setdiag(G, 0); diff --git a/sourcecodes/bnt-master/graph/README.txt b/sourcecodes/bnt-master/graph/README.txt new file mode 100644 index 00000000..917cd9ae --- /dev/null +++ b/sourcecodes/bnt-master/graph/README.txt @@ -0,0 +1,3 @@ +Graph theory toolbox. +All functions written by Kevin Murphy (1998) unless otherwise noted. +The latest version is available from http://www.ai.mit.edu/~murphyk/Software/index.html diff --git a/sourcecodes/bnt-master/graph/acyclic.m b/sourcecodes/bnt-master/graph/acyclic.m new file mode 100644 index 00000000..0b497d73 --- /dev/null +++ b/sourcecodes/bnt-master/graph/acyclic.m @@ -0,0 +1,23 @@ +function b = acyclic(adj_mat, directed) +% ACYCLIC Returns true iff the graph has no (directed) cycles. +% b = acyclic(adj_mat, directed) + +adj_mat = double(adj_mat); +if nargin < 2, directed = 1; end + +% e.g., G = +% 1 -> 3 +% | +% v +% 2 <- 4 +% In this case, 1->2 in the transitive closure, but 1 cannot get to itself. +% If G was undirected, 1 could get to itself, but this graph is not cyclic. +% So we cannot use the closure test in the undirected case. + +if directed + R = reachability_graph(adj_mat); + b = ~any(diag(R)==1); +else + [d, pre, post, cycle] = dfs(adj_mat,[],directed); + b = ~cycle; +end diff --git a/sourcecodes/bnt-master/graph/assignEdgeNums.m b/sourcecodes/bnt-master/graph/assignEdgeNums.m new file mode 100644 index 00000000..5d9a2a0d --- /dev/null +++ b/sourcecodes/bnt-master/graph/assignEdgeNums.m @@ -0,0 +1,32 @@ +function [edge_id, nedges] = assignEdgeNums(adj_mat) +% give each edge a unique number +% we number (i,j) for j>i first, in row, column order. +% Then we number the reverse links + +nnodes = length(adj_mat); +edge_id = zeros(nnodes); +e = 1; +for i=1:nnodes + for j=i+1:nnodes + if adj_mat(i,j) + edge_id(i,j) = e; + e = e+1; + end + end +end + +nedges = e-1; +tmp = edge_id; +ndx = find(tmp); +tmp(ndx) = tmp(ndx)+nedges; +edge_id = edge_id + triu(tmp)'; + + +if 0 +ndx = find(adj_mat); +nedges = length(ndx); +nnodes = length(adj_mat); +edge_id = zeros(1, nnodes*nnodes); +edge_id(ndx) = 1:nedges; +edge_id = reshape(edge_id, nnodes, nnodes); +end diff --git a/sourcecodes/bnt-master/graph/best_first_elim_order.m b/sourcecodes/bnt-master/graph/best_first_elim_order.m new file mode 100644 index 00000000..2a808c16 --- /dev/null +++ b/sourcecodes/bnt-master/graph/best_first_elim_order.m @@ -0,0 +1,68 @@ +function order = best_first_elim_order(G, node_sizes, stage) +% BEST_FIRST_ELIM_ORDER Greedily search for an optimal elimination order. +% order = best_first_elim_order(moral_graph, node_sizes) +% +% Find an order in which to eliminate nodes from the graph in such a way as to try and minimize the +% weight of the resulting triangulated graph. The weight of a graph is the sum of the weights of each +% of its cliques; the weight of a clique is the product of the weights of each of its members; the +% weight of a node is the number of values it can take on. +% +% Since this is an NP-hard problem, we use the following greedy heuristic: +% at each step, eliminate that node which will result in the addition of the least +% number of fill-in edges, breaking ties by choosing the node that induces the lighest clique. +% For details, see +% - Kjaerulff, "Triangulation of graphs -- algorithms giving small total state space", +% Univ. Aalborg tech report, 1990 (www.cs.auc.dk/~uk) +% - C. Huang and A. Darwiche, "Inference in Belief Networks: A procedural guide", +% Intl. J. Approx. Reasoning, 11, 1994 +% + +% Warning: This code is pretty old and could probably be made faster. + +n = length(G); +if nargin < 3, stage = { 1:n }; end % no constraints + +% For long DBNs, it may be useful to eliminate all the nodes in slice t before slice t+1. +% This will ensure that the jtree has a repeating structure (at least away from both edges). +% This is why we have stages. +% See the discussion of splicing jtrees on p68 of +% Geoff Zweig's PhD thesis, Dept. Comp. Sci., UC Berkeley, 1998. +% This constraint can increase the clique size significantly. + +MG = G; % copy the original graph +uneliminated = ones(1,n); +order = zeros(1,n); +t = 1; % Counts which time slice we are on +for i=1:n + U = find(uneliminated); + valid = myintersect(U, stage{t}); + % Choose the best node from the set of valid candidates + min_fill = zeros(1,length(valid)); + min_weight = zeros(1,length(valid)); + for j=1:length(valid) + k = valid(j); + nbrs = myintersect(neighbors(G, k), U); + l = length(nbrs); + M = MG(nbrs,nbrs); + min_fill(j) = l^2 - sum(M(:)); % num. added edges + min_weight(j) = prod(node_sizes([k nbrs])); % weight of clique + end + lightest_nbrs = find(min_weight==min(min_weight)); + % break ties using min-fill heuristic + best_nbr_ndx = argmin(min_fill(lightest_nbrs)); + j = lightest_nbrs(best_nbr_ndx); % we will eliminate the j'th element of valid + %j1s = find(score1==min(score1)); + %j = j1s(argmin(score2(j1s))); + k = valid(j); + uneliminated(k) = 0; + order(i) = k; + ns = myintersect(neighbors(G, k), U); + if ~isempty(ns) + G(ns,ns) = 1; + G = setdiag(G,0); + end + if ~any(logical(uneliminated(stage{t}))) % are we allowed to the next slice? + t = t + 1; + end +end + diff --git a/sourcecodes/bnt-master/graph/check_jtree_property.m b/sourcecodes/bnt-master/graph/check_jtree_property.m new file mode 100644 index 00000000..3986c05e --- /dev/null +++ b/sourcecodes/bnt-master/graph/check_jtree_property.m @@ -0,0 +1,18 @@ +function check_jtree_property(cliques_containing_node, jtree) +% CHECK_JTREE_PROPERTY Raise an error if the graph does not satisfy the join tree property. +% check_jtree_property(cliques_containing_node, jtree_adj_mat) +% +% The join tree property says: +% For each node n in the dag, compute the node-induced subgraph G by looking at all the cliques +% that contain n, and make sure G forms a connected graph. +% This ensures that local propagation leads to global consistency. + +num_bn_nodes = length(cliques_containing_node); +directed = 0; +for i=1:num_bn_nodes + cs = cliques_containing_node{i}; + G = jtree(cs,cs); + if ~connected_graph(G, directed) + error(['node ' num2str(i) ' violates jtree property']); + end +end diff --git a/sourcecodes/bnt-master/graph/check_triangulated.m b/sourcecodes/bnt-master/graph/check_triangulated.m new file mode 100644 index 00000000..99bcc9f1 --- /dev/null +++ b/sourcecodes/bnt-master/graph/check_triangulated.m @@ -0,0 +1,34 @@ +function [triangulated, order] = check_triangulated(G) +% CHECK_TRIANGULATED Return 1 if G is a triangulated (chordal) graph, 0 otherwise. +% [triangulated, order] = check_triangulated(G) +% +% A numbering alpha is perfect if Nbrs(alpha(i)) intersect {alpha(1)...alpha(i-1)} is complete. +% A graph is triangulated iff it has a perfect numbering. +% The Maximum Cardinality Search algorithm will create such a perfect numbering if possible. +% See Golumbic, "Algorithmic Graph Theory and Perfect Graphs", Cambridge Univ. Press, 1985, p85. +% or Castillo, Gutierrez and Hadi, "Expert systems and probabilistic network models", Springer 1997, p134. + + +G = setdiag(G, 1); +n = length(G); +order = zeros(1,n); +triangulated = 1; +numbered = [1]; +order(1) = 1; +for i=2:n + U = mysetdiff(1:n, numbered); % unnumbered nodes + score = zeros(1, length(U)); + for ui=1:length(U) + u = U(ui); + score(ui) = length(myintersect(neighbors(G, u), numbered)); + end + u = U(argmax(score)); + numbered = [numbered u]; + order(i) = u; + nns = myintersect(neighbors(G,u), order(1:i-1)); % numbered neighbors + if ~isequal(G(nns,nns), ones(length(nns))) % ~complete(G(nns,nns)) + triangulated = 0; + break; + end +end + diff --git a/sourcecodes/bnt-master/graph/children.m b/sourcecodes/bnt-master/graph/children.m new file mode 100644 index 00000000..d79701b7 --- /dev/null +++ b/sourcecodes/bnt-master/graph/children.m @@ -0,0 +1,17 @@ +function cs = children(adj_mat, i, t) +% CHILDREN Return the indices of a node's children in sorted order +% c = children(adj_mat, i, t) +% +% t is an optional argument: if present, dag is assumed to be a 2-slice DBN + +if nargin < 3 + cs = find(adj_mat(i,:)); +else + if t==1 + cs = find(adj_mat(i,:)); + else + ss = length(adj_mat)/2; + j = i+ss; + cs = find(adj_mat(j,:)) + (t-2)*ss; + end +end diff --git a/sourcecodes/bnt-master/graph/cliques_to_jtree.m b/sourcecodes/bnt-master/graph/cliques_to_jtree.m new file mode 100644 index 00000000..921ced0b --- /dev/null +++ b/sourcecodes/bnt-master/graph/cliques_to_jtree.m @@ -0,0 +1,57 @@ +function [jtree, root, B, w] = cliques_to_jtree(cliques, ns) +% MK_JTREE Make an optimal junction tree. +% [jtree, root, B, w] = mk_jtree(cliques, ns) +% +% A junction tree is a tree that satisfies the jtree property, which says: +% for each pair of cliques U,V with intersection S, all cliques on the path between U and V +% contain S. (This ensures that local propagation leads to global consistency.) +% +% We can create a junction tree by computing the maximal spanning tree of the junction graph. +% (The junction graph connects all cliques, and the weight of an edge (i,j) is +% |C(i) intersect C(j)|, where C(i) is the i'th clique.) +% +% The best jtree is the maximal spanning tree which minimizes the sum of the costs on each edge, +% where cost(i,j) = w(C(i)) + w(C(j)), and w(C) is the weight of clique C, +% which is the total number of values C can take on. +% +% For details, see +% - Jensen and Jensen, "Optimal Junction Trees", UAI 94. +% +% Input: +% cliques{i} = nodes in clique i +% ns(i) = number of values node i can take on +% Output: +% jtree(i,j) = 1 iff cliques i and j aer connected +% root = the clique that should be used as root +% B(i,j) = 1 iff node j occurs in clique i +% w(i) = weight of clique i + + + +num_cliques = length(cliques); +w = zeros(num_cliques, 1); +B = sparse(num_cliques, 1); +for i=1:num_cliques + B(i, cliques{i}) = 1; + w(i) = prod(ns(cliques{i})); +end + + +% C1(i,j) = length(intersect(cliques{i}, cliques{j})); +% The length of the intersection of two sets is the dot product of their bit vector representation. +C1 = B*B'; +C1 = setdiag(C1, 0); + +% C2(i,j) = w(i) + w(j) +num_cliques = length(w); +W = repmat(w, 1, num_cliques); +C2 = W + W'; +C2 = setdiag(C2, 0); + +jtree = sparse(minimum_spanning_tree(-C1, C2)); % Using -C1 gives *maximum* spanning tree + +% The root is arbitrary, but since the first pass is towards the root, +% we would like this to correspond to going forward in time in a DBN. +root = num_cliques; + + diff --git a/sourcecodes/bnt-master/graph/cliques_to_strong_jtree.m b/sourcecodes/bnt-master/graph/cliques_to_strong_jtree.m new file mode 100644 index 00000000..551894f2 --- /dev/null +++ b/sourcecodes/bnt-master/graph/cliques_to_strong_jtree.m @@ -0,0 +1,114 @@ +function [jtree, root, cliques, B, w] = mk_strong_jtree(cliques, ns, elim_order, MTG) +% MK_SRONG_JTREE Make a strong junction tree. +% [jtree, root, cliques, B, w] = mk_strong_jtree(cliques, ns, elim_order, MTG) +% +% Here is a definition of a strong jtree from Jensen et al. 1994: +% "A junction tree is said to be strong if it has at least one distinguished clique R, +% called a strong root, s.t. for each pair (C1,C2) of adjacent cliques in the tree, +% with C1 closer to R than C2, there exists and ordering of [the nodes below] C2 +% that respects [the partial order] and with the vertices of the separator C1 intersect C2 +% preceeding the vertices [below C2] of C2 \ C1." +% +% For details, see +% - Jensen, Jensen and Dittmer, "From influence diagrams to junction trees", UAI 94. +% +% MTG is the moralized, triangulated graph. +% elim_order is the elimination ordering used to compute MTG. + + +% Warning: this is a very naive implementation of the algorithm in Jensen et al. + +n = length(elim_order); +alpha(elim_order) = n:-1:1; +% alpha(u) = i if we eliminate u at step n-i+1 +% i.e., vertices with higher alpha numbers are eliminated before vertices with lower numbers. +% e.g., from the Jensen et al paper +% node a=1 eliminated at step 6, so alpha(a)=16-6+1=11. +% alpha = [11 1 2 10 9 3 4 7 5 8 13 12 6 16 15 14] + + +% We sort the cliques in order of increasing index. The index of a clique C is defined as follows. +% Let lower = {u | alpha(u) < alpha(v)}, and +% let v in C be the highest-numbered vertex s.t. the vertices in W = lower intersect C +% have a common neighbor u in U, where U = lower \ C. +% If such a v exists, define index(C) = alpha(v), otherwise, index(C) = 1. +% Intuitively, index(C) is the step in the elimination process at which C disappears. + +num_cliques = length(cliques); +index = zeros(1, num_cliques); +for c = 1:num_cliques + C = cliques{c}; + highest_num = -inf; + for vi = 1:length(C) + v = C(vi); + lower = find(alpha < alpha(v)); + W = myintersect(lower, C); + U = mysetdiff(lower, C); + found = 0; + for ui=1:length(U) + u = U(ui); + if mysubset(W, neighbors(MTG, u)) + found = 1; + break; + end + end + if found + if alpha(v) > highest_num + highest_num = alpha(v); + end + end + end + if highest_num == -inf + index(c) = 1; + else + index(c) = highest_num; + end +end + + +% Permute the cliques so that they are ordered according to index +[dummy, clique_order] = sort(index); +cliques = cliques(clique_order); + +w = zeros(num_cliques, 1); +B = sparse(num_cliques, 1); +for i=1:num_cliques + B(i, cliques{i}) = 1; + w(i) = prod(ns(cliques{i})); +end + +% Pearl p113 suggests ordering the cliques by rank of the highest vertex in each clique. +% However, this will only work if we use maximum cardinality search. + + +% Join up the cliques so that they satisfy the Running Intersection Property. +% This states that, for all k > 1, S(k) subseteq C(j) for some j < k, where +% S(k) = C(k) intersect (union_{i=1}^{k-1} C(i)) +jtree = sparse(num_cliques, num_cliques); +for k=2:num_cliques + S = []; + for i=1:k-1 + S = myunion(S, cliques{i}); + end + S = myintersect(S, cliques{k}); + found = 0; + for j=1:k-1 + if mysubset(S, cliques{j}) + found = 1; + break; + end + end + if ~found + disp(['RIP is violated for clique ' num2str(k)]); + end + jtree(k,j)=1; + jtree(j,k)=1; +end + +% Pearl p113 suggests connecting Ci to a predecessor Cj (j < i) sharing +% the highest number of vertices with Ci (i.e., the heaviest i-j edge +% in the jgraph). However, this will only work if we use maximum cardinality search. + +root = 1; + + diff --git a/sourcecodes/bnt-master/graph/connected_graph.m b/sourcecodes/bnt-master/graph/connected_graph.m new file mode 100644 index 00000000..612393ea --- /dev/null +++ b/sourcecodes/bnt-master/graph/connected_graph.m @@ -0,0 +1,9 @@ +function b = connected(adj_mat, directed) +% +% b = connected(adj_mat). +% Returns true iff the graph is connected. + +n = length(adj_mat); +start = 1; +[d, pre] = dfs(adj_mat, start, directed); +b = (length(pre) == n); diff --git a/sourcecodes/bnt-master/graph/dag_to_essential_graph.m b/sourcecodes/bnt-master/graph/dag_to_essential_graph.m new file mode 100644 index 00000000..84dd8ee5 --- /dev/null +++ b/sourcecodes/bnt-master/graph/dag_to_essential_graph.m @@ -0,0 +1,112 @@ + +function [eg] = dag_to_essential_graph(dag) +cpdag = dag_to_cpdag(dag); +eg = dag + dag .* (cpdag + cpdag'); + +return; + + + + +% Coverts a DAG into Essential Graph where edges are coded by 2 and 3, 2 is +% directed edge and 3 is bidirected edge and is at one (the same as the original DAG) of the two +% symetrical places. + +% Is implemented by the algorithm of Max Chickering in D.M.Chickering (1995). +% A transformational characterization of equivalent Bayesian network structures. +% In Proceedings of Eleventh Conference on Uncertainty in Artificial Intelligence, Montreal, QU, +% pages 87-98. Morgan Kaufmann +% http://research.microsoft.com/~dmax/publications/uai95.pdf + +% Implemented by Tomas Kocka, AAU. + +function [eg] = dag_to_essential_graph(dagx) + +%print_dag(dagx); % Just checking input + +order = topological_sort(dagx); % get the topological order of nodes and their number + +% fprintf('the topological order is: %d',order); +% fprintf('\n'); + +[nx,ny] = size(dagx); % gets the number of nodes, note that nx == ny +[I,J] = find(dagx); % finds all nonzero elements in the adjacency matrix, i.e. arcs in the DAG - however we will overwrite it in a special order +% we will sort the arcs from lowest possible y and highest possible x, arcs are x->y +e = 1; +for y = 1:ny + for x = nx:-1:1 + %fprintf('x %d ',order(x)); fprintf('y %d ',order(y)); + if dagx(order(x),order(y)) == 1 + I(e) = order(x); + J(e) = order(y); + e = e + 1; + %fprintf('x order %d',x); + %fprintf('y order %d',y); + %fprintf('\n'); + end + end +end + + +% fprintf('the arcs are: %d',I); +% fprintf('\n'); +% fprintf('the arcs are: %d',J); +% fprintf('\n'); + + +% Now we have to decide which arcs are part of the essential graph and +% which are undirected edges in the essential graph. +% Undecided arc in the DAG are 1, directed in EG are 2 and undirected in EG +% are 3. + + +for e = 1:length(I) + if dagx(I(e),J(e)) == 1 + cont = true; + for w = 1:nx + if dagx(w,I(e)) == 2 + if dagx(w,J(e)) ~= 0 + dagx(w,J(e)) = 2; + else + for ww = 1:nx + if dagx(ww,J(e)) ~= 0 + dagx(ww,J(e)) = 2; + end + end % and now skip the rest and start with another arc from the list + w = nx; + cont = false; + end + end + end + if cont + exists = false; + for z = 1:nx + %fprintf('test %d',dagx(z,J(e))); + if dagx(z,J(e)) ~= 0 & z ~= I(e) & dagx(z,I(e)) == 0 + exists = true; + for ww = 1:nx + if dagx(ww,J(e)) == 1 + dagx(ww,J(e)) = 2; + end + end + end + end + if ~ exists + for ww = 1:nx + if dagx(ww,J(e)) == 1 + dagx(ww,J(e)) = 3; + end + end + end + end + end +end + +%print_dag(dagx); % Just checking output + + + + + + + diff --git a/sourcecodes/bnt-master/graph/dfs.m b/sourcecodes/bnt-master/graph/dfs.m new file mode 100644 index 00000000..cd13c358 --- /dev/null +++ b/sourcecodes/bnt-master/graph/dfs.m @@ -0,0 +1,91 @@ +function [d, pre, post, cycle, f, pred] = dfs(adj_mat, start, directed) +% DFS Perform a depth-first search of the graph starting from 'start'. +% [d, pre, post, cycle, f, pred] = dfs(adj_mat, start, directed) +% +% Input: +% adj_mat(i,j)=1 iff i is connected to j. +% start is the root vertex of the dfs tree; if [], all nodes are searched +% directed = 1 if the graph is directed +% +% Output: +% d(i) is the time at which node i is first discovered. +% pre is a list of the nodes in the order in which they are first encountered (opened). +% post is a list of the nodes in the order in which they are last encountered (closed). +% 'cycle' is true iff a (directed) cycle is found. +% f(i) is the time at which node i is finished. +% pred(i) is the predecessor of i in the dfs tree. +% +% If the graph is a tree, preorder is parents before children, +% and postorder is children before parents. +% For a DAG, topological order = reverse(postorder). +% +% See Cormen, Leiserson and Rivest, "An intro. to algorithms" 1994, p478. + +n = length(adj_mat); + +global white gray black color +white = 0; gray = 1; black = 2; +color = white*ones(1,n); + +global time_stamp +time_stamp = 0; + +global d f +d = zeros(1,n); +f = zeros(1,n); + +global pred +pred = zeros(1,n); + +global cycle +cycle = 0; + +global pre post +pre = []; +post = []; + +if ~isempty(start) + dfs_visit(start, adj_mat, directed); +end +for u=1:n + if color(u)==white + dfs_visit(u, adj_mat, directed); + end +end + + +%%%%%%%%%% + +function dfs_visit(u, adj_mat, directed) + +global white gray black color time_stamp d f pred cycle pre post + +pre = [pre u]; +color(u) = gray; +time_stamp = time_stamp + 1; +d(u) = time_stamp; +if directed + ns = children(adj_mat, u); +else + ns = neighbors(adj_mat, u); + ns = setdiff(ns, pred(u)); % don't go back to visit the guy who called you! +end +for v=ns(:)' + %fprintf('u=%d, v=%d, color(v)=%d\n', u, v, color(v)) + switch color(v) + case white, % not visited v before (tree edge) + pred(v)=u; + dfs_visit(v, adj_mat, directed); + case gray, % back edge - v has been visited, but is still open + cycle = 1; + %fprintf('cycle: back edge from v=%d to u=%d\n', v, u); + case black, % v has been visited, but is closed + % no-op + end +end +color(u) = black; +post = [post u]; +time_stamp = time_stamp + 1; +f(u) = time_stamp; + + diff --git a/sourcecodes/bnt-master/graph/dfs_test.m b/sourcecodes/bnt-master/graph/dfs_test.m new file mode 100644 index 00000000..e3e4ae12 --- /dev/null +++ b/sourcecodes/bnt-master/graph/dfs_test.m @@ -0,0 +1,30 @@ +% Do the example in fig 23.4 p479 of Cormen, Leiserson and Rivest (1994) + +u = 1; v = 2; w = 3; x = 4; y = 5; z = 6; +n = 6; +dag=zeros(n,n); +dag(u,[v x])=1; +dag(v,y)=1; +dag(w,[y z])=1; +dag(x,v)=1; +dag(y,x)=1; +dag(z,z)=1; + +[d, pre, post, cycle, f, pred] = dfs(dag, [], 1); +assert(isequal(d, [1 2 9 4 3 10])) +assert(isequal(f, [8 7 12 5 6 11]) +assert(cycle) + +% Now give it an undirected cyclic graph +G = mk_2D_lattice(2,2,0); +% 1 - 3 +% | | +% 2 - 4 +[d, pre, post, cycle, f, pred] = dfs(G, [], 0); +% d = [1 2 4 3] +assert(cycle) + +% Now break the cycle +G(1,2)=0; G(2,1)=0; +[d, pre, post, cycle, f, pred] = dfs(G, [], 0); +assert(~cycle) diff --git a/sourcecodes/bnt-master/graph/dijkstra.m b/sourcecodes/bnt-master/graph/dijkstra.m new file mode 100644 index 00000000..2e444d4c --- /dev/null +++ b/sourcecodes/bnt-master/graph/dijkstra.m @@ -0,0 +1,112 @@ +function [D,P] = dijk(A,s,t) +%DIJK Shortest paths from nodes 's' to nodes 't' using Dijkstra algorithm. +% [D,p] = dijk(A,s,t) +% A = n x n node-node weighted adjacency matrix of arc lengths +% (Note: A(i,j) = 0 => Arc (i,j) does not exist; +% A(i,j) = NaN => Arc (i,j) exists with 0 weight) +% s = FROM node indices +% = [] (default), paths from all nodes +% t = TO node indices +% = [] (default), paths to all nodes +% D = |s| x |t| matrix of shortest path distances from 's' to 't' +% = [D(i,j)], where D(i,j) = distance from node 'i' to node 'j' +% P = |s| x n matrix of predecessor indices, where P(i,j) is the +% index of the predecessor to node 'j' on the path from 's(i)' to 'j' +% (use PRED2PATH to convert P to paths) +% = path from 's' to 't', if |s| = |t| = 1 +% +% (If A is a triangular matrix, then computationally intensive node +% selection step not needed since graph is acyclic (triangularity is a +% sufficient, but not a necessary, condition for a graph to be acyclic) +% and A can have non-negative elements) +% +% (If |s| >> |t|, then DIJK is faster if DIJK(A',t,s) used, where D is now +% transposed and P now represents successor indices) +% +% (Based on Fig. 4.6 in Ahuja, Magnanti, and Orlin, Network Flows, +% Prentice-Hall, 1993, p. 109.) + +% Copyright (c) 1998-2001 by Michael G. Kay +% Matlog Version 5 22-Aug-2001 + +% Input Error Checking ****************************************************** +error(nargchk(1,3,nargin)); + +[n,cA] = size(A); + +if nargin < 2 | isempty(s), s = (1:n)'; else s = s(:); end +if nargin < 3 | isempty(t), t = (1:n)'; else t = t(:); end + +if ~any(any(tril(A) ~= 0)) % A is upper triangular + isAcyclic = 1; +elseif ~any(any(triu(A) ~= 0)) % A is lower triangular + isAcyclic = 2; +else % Graph may not be acyclic + isAcyclic = 0; +end + +if n ~= cA + error('A must be a square matrix'); +elseif ~isAcyclic & any(any(A < 0)) + error('A must be non-negative'); +elseif any(s < 1 | s > n) + error(['''s'' must be an integer between 1 and ',num2str(n)]); +elseif any(t < 1 | t > n) + error(['''t'' must be an integer between 1 and ',num2str(n)]); +end +% End (Input Error Checking) ************************************************ + +A = A'; % Use transpose to speed-up FIND for sparse A + +D = zeros(length(s),length(t)); +if nargout > 1, P = zeros(length(s),n); end + +for i = 1:length(s) + j = s(i); + + Di = Inf*ones(n,1); Di(j) = 0; + + isLab = logical(zeros(length(t),1)); + if isAcyclic == 1 + nLab = j - 1; + elseif isAcyclic == 2 + nLab = n - j; + else + nLab = 0; + UnLab = 1:n; + isUnLab = logical(ones(n,1)); + end + + while nLab < n & ~all(isLab) + if isAcyclic + Dj = Di(j); + else % Node selection + [Dj,jj] = min(Di(isUnLab)); + j = UnLab(jj); + UnLab(jj) = []; + isUnLab(j) = 0; + end + + nLab = nLab + 1; + if length(t) < n, isLab = isLab | (j == t); end + + [jA,kA,Aj] = find(A(:,j)); + Aj(isnan(Aj)) = 0; + + if isempty(Aj), Dk = Inf; else Dk = Dj + Aj; end + + if nargout > 1, P(i,jA(Dk < Di(jA))) = j; end + Di(jA) = min(Di(jA),Dk); + + if isAcyclic == 1 % Increment node index for upper triangular A + j = j + 1; + elseif isAcyclic == 2 % Decrement node index for lower triangular A + j = j - 1; + end + end + D(i,:) = Di(t)'; +end + +if nargout > 1 & length(s) == 1 & length(t) == 1 + P = pred2path(P,s,t); +end diff --git a/sourcecodes/bnt-master/graph/family.m b/sourcecodes/bnt-master/graph/family.m new file mode 100644 index 00000000..0a6494d6 --- /dev/null +++ b/sourcecodes/bnt-master/graph/family.m @@ -0,0 +1,17 @@ +function f = family(A,i,t) +% FAMILY Return the indices of parents and self in sorted order +% f = family(dag,i,t) +% +% t is an optional argument: if present, dag is assumed to be a 2-slice DBN + +if nargin < 3 + f = [parents(A,i) i]; +else + if t == 1 + f = [parents(A,i) i]; + else + ss = length(A)/2; + j = i+ss; + f = [parents(A,j) j] + (t-2)*ss; + end +end diff --git a/sourcecodes/bnt-master/graph/findroot.m b/sourcecodes/bnt-master/graph/findroot.m new file mode 100644 index 00000000..d242a3a3 --- /dev/null +++ b/sourcecodes/bnt-master/graph/findroot.m @@ -0,0 +1,24 @@ +function root = findroot(bnet, cliques) + +%% findroot is to find the strong root in a clique tree assume it has one +%% in the tree. For a clique tree constructed from a strongly triangulated +%% graph, an interface clique that contains all discrete parents +%% and at least one continuous node from a connected continuous component +%% is for sure to be available as a guaranteed strong root. +%% -By Wei Sun, George Mason University, 4/17/2010. + +%% We choose the interface clique that contains the max number +%% of interface nodes to be the strong root. +n0 = 0 ; +for i=1:length(cliques) + % check hybrid cliques + hc = intersect(cliques{i}, bnet.cnodes) ; + hd = intersect(cliques{i}, bnet.dnodes) ; + if ~isempty(hd) & ~isempty(hc) + nd = length(hd) ; + if nd > n0 + root = i ; + n0 = nd ; + end + end +end diff --git a/sourcecodes/bnt-master/graph/graph_separated.m b/sourcecodes/bnt-master/graph/graph_separated.m new file mode 100644 index 00000000..32a11841 --- /dev/null +++ b/sourcecodes/bnt-master/graph/graph_separated.m @@ -0,0 +1,9 @@ +function sep = graph_separated(G, X, Y, S) + +G2 = G; +G2(S,:) = 0; +G2(:,S) = 0; +conn = reachability_graph(G2); +conn2 = conn(X,Y); +sep = all(conn2(:)==0); + diff --git a/sourcecodes/bnt-master/graph/graph_to_jtree.m b/sourcecodes/bnt-master/graph/graph_to_jtree.m new file mode 100644 index 00000000..952bbca7 --- /dev/null +++ b/sourcecodes/bnt-master/graph/graph_to_jtree.m @@ -0,0 +1,59 @@ +function [jtree, root, cliques, B, w, elim_order] = graph_to_jtree(MG, ns, partial_order, stages, clusters) +% GRAPH_TO_JTREE Triangulate a graph and make a junction tree from its cliques. +% [jtree, root, cliques, B, w, elim_order] = ... +% graph_to_jtree(graph, node_sizes, partial_order, stages, clusters) +% +% INPUT: +% graph(i,j) = 1 iff there is an edge between i,j +% node_weights(i) = num discrete values node i can take on [1 if observed] +% partial_order = {} if no constraints on elimination ordering +% stages{i} = nodes that must be eliminated at i'th stage (if porder is empty) +% clusters{i} = list of nodes that must get connected together in the moral graph +% +% OUTPUT: +% jtree(i,j) = 1 iff there is an arc between clique i and clique j +% root = the root clique +% cliques{i} = the nodes in clique i +% B(i,j) = 1 iff node j occurs in clique i +% w(i) = weight of clique i + +N = length(MG); + +if nargin >= 5 + % Add extra arcs between nodes in each cluster to ensure they occur in the same clique + for i=1:length(clusters) + c = clusters{i}; + MG(c,c) = 1; + end +end +MG = setdiag(MG, 0); + +% Find an optimal elimination ordering (NP-hard problem!) +if nargin < 4 + stages = {1:N}; +end +if nargin < 3 + partial_order = {}; +end +if isempty(partial_order) + strong = 0; + elim_order = best_first_elim_order(MG, ns, stages); +else + strong = 1; + elim_order = strong_elim_order(MG, ns, partial_order); +end + +[MTG, cliques, fill_in_edges] = triangulate(MG, elim_order); + +% Connect the cliques up into a jtree, +[jtree, root, B, w] = cliques_to_jtree(cliques, ns); + +if 0 + disp('testing dag to jtree'); + % Find the cliques containing each node, and check they form a connected subtree + clqs_con_node = cell(1,N); + for i=1:N + clqs_con_node{i} = find(B(:,i))'; + end + check_jtree_property(clqs_con_node, jtree); +end diff --git a/sourcecodes/bnt-master/graph/min_subtree_con_nodes.m b/sourcecodes/bnt-master/graph/min_subtree_con_nodes.m new file mode 100644 index 00000000..0bc3c2d3 --- /dev/null +++ b/sourcecodes/bnt-master/graph/min_subtree_con_nodes.m @@ -0,0 +1,60 @@ +function [subtree, nroot_node] = min_subtree_con_nodes(jtree, root, nodes) +%min_subtree_con_nodes get the minimum subtree of tree which contains the nodes + +if isempty(jtree) | isempty(nodes) + subtree = []; + nroot_node = []; + return; +end + +rnodes = min_subtree_nodes(jtree, nodes); +nea_node = nearest_node(jtree, root, nodes); +node_num = length(jtree); +subtree = zeros(node_num); +subtree(rnodes, rnodes) = jtree(rnodes, rnodes); +nroot_node = nea_node; + + +function rnodes = min_subtree_nodes(tree, nodes) +rnodes = []; +if isempty(tree) | isempty(nodes) + return +end + +rnodes = nodes(1); +newnodes = neighbors(tree, nodes(1)); +while ~mysubset(nodes, rnodes) + swapnodes = newnodes; + newnodes = []; + added = 0; + for i=1:length(swapnodes) + inode = swapnodes(i); + tnodes = myunion(inode, rnodes); + if mysubset(nodes, tnodes) + added = 1; + break; + end + nns = neighbors(tree, inode); + add_nodes = mysetdiff(nns, tnodes); + newnodes = myunion(newnodes, add_nodes); + end + if added + rnodes = tnodes; + else + rnodes = myunion(rnodes, newnodes); + end +end + +function nea_node = nearest_node(tree, inode, nodes) +if myismember(inode, nodes) + nea_node = inode; + return; +end +cs = children(tree, inode); +for i = 1:length(cs) + n = cs(i); + nea_node = nearest_node(tree, n, nodes); +end + + + diff --git a/sourcecodes/bnt-master/graph/minimum_spanning_tree.m b/sourcecodes/bnt-master/graph/minimum_spanning_tree.m new file mode 100644 index 00000000..ca208985 --- /dev/null +++ b/sourcecodes/bnt-master/graph/minimum_spanning_tree.m @@ -0,0 +1,51 @@ +function A = minimum_spanning_tree(C1, C2) +% +% Find the minimum spanning tree using Prim's algorithm. +% C1(i,j) is the primary cost of connecting i to j. +% C2(i,j) is the (optional) secondary cost of connecting i to j, used to break ties. +% We assume that absent edges have 0 cost. +% To find the maximum spanning tree, used -1*C. +% See Aho, Hopcroft & Ullman 1983, "Data structures and algorithms", p 237. + +% Prim's is O(V^2). Kruskal's algorithm is O(E log E) and hence is more efficient +% for sparse graphs, but is implemented in terms of a priority queue. + +% We partition the nodes into those in U and those not in U. +% closest(i) is the vertex in U that is closest to i in V-U. +% lowcost(i) is the cost of the edge (i, closest(i)), or infinity is i has been used. +% In Aho, they say C(i,j) should be "some appropriate large value" if the edge is missing. +% We set it to infinity. +% However, since lowcost is initialized from C, we must distinguish absent edges from used nodes. + +n = length(C1); +if nargin==1, C2 = zeros(n); end +A = zeros(n); + +closest = ones(1,n); +used = zeros(1,n); % contains the members of U +used(1) = 1; % start with node 1 +C1(find(C1==0))=inf; +C2(find(C2==0))=inf; +lowcost1 = C1(1,:); +lowcost2 = C2(1,:); + +for i=2:n + ks = find(lowcost1==min(lowcost1)); + k = ks(argmin(lowcost2(ks))); + A(k, closest(k)) = 1; + A(closest(k), k) = 1; + lowcost1(k) = inf; + lowcost2(k) = inf; + used(k) = 1; + NU = find(used==0); + for ji=1:length(NU) + for j=NU(ji) + if C1(k,j) < lowcost1(j) + lowcost1(j) = C1(k,j); + lowcost2(j) = C2(k,j); + closest(j) = k; + end + end + end +end + diff --git a/sourcecodes/bnt-master/graph/minspan.m b/sourcecodes/bnt-master/graph/minspan.m new file mode 100644 index 00000000..23d396fb --- /dev/null +++ b/sourcecodes/bnt-master/graph/minspan.m @@ -0,0 +1,56 @@ +function [t,nk] = minspan(IJC) +%MINSPAN Minimum weight spanning tree using Kruskal algorithm. +%[t,nk] = minspan(IJC) +% IJC = n x 3 matrix arc list [i j c] of arc heads, tails, and costs +% t = n-element logical vector, where +% t(i) = 1, if IJC(i,:) arc in spanning tree +% t(i) = k, if IJC(i,:) arc in component k of forest +% nk = number of components + +% Copyright (c) 1998-2001 by Michael G. Kay +% Matlog Version 5 22-Aug-2001 + +% Input Error Checking ****************************************************** +[n,cIJC] = size(IJC); +if cIJC ~= 3 + error('''IJC'' must be a 3-column matrix.') +elseif n < 1 + error('''IJC'' must have at least one row.') +elseif any(IJC(:,1) < 1) | any(any(~isint(IJC(:,[1 2])))) + error('Invalid arc index in IJC.') +end +% End (Input Error Checking) ************************************************ + +i = IJC(:,1); j = abs(IJC(:,2)); +m = max(max([i j])); + +sidxIJ = argsort(IJC(:,3)); +i = i(sidxIJ); j = j(sidxIJ); + +t = logical(zeros(n,1)); +k = 1; % Current arc +nt = 0; % Number of arcs in spanning tree +v = (1:m)'; % Arc labels + +while nt < m - 1 & k <= n + if (v(i(k)) ~= v(j(k))) + v(v==v(j(k))) = v(i(k)); + t(k) = 1; + nt = nt + 1; + end + k = k + 1; +end + +idxIJ = invperm(sidxIJ); +t = t(idxIJ); i = i(idxIJ); j = j(idxIJ); + +c = unique(v(unique([i; j]))); % Unique labels of arc vertices +nk = length(c); +if ~any(t), nk = 0; end % Self-loop not a component + +if nk > 1 + for k = 1:nk + t(t~=0 & v(i)==c(k)) = k; % Relabel to consecutive component numbers + end +end + diff --git a/sourcecodes/bnt-master/graph/mk_2D_lattice.m b/sourcecodes/bnt-master/graph/mk_2D_lattice.m new file mode 100644 index 00000000..a9873260 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_2D_lattice.m @@ -0,0 +1,59 @@ +function G = mk_2D_lattice(nrows, ncols, con) +% MK_2D_LATTICE Return adjacency matrix for nearest neighbor connected 2D lattice +% G = mk_2D_lattice(nrows, ncols, con) +% G(k1, k2) = 1 iff k1=(i1,j1) is a neighbor of k2=(i2,j2) +% (Two pixels are neighbors if their Euclidean distance is less than r.) +% Default connectivity = 4. +% +% WE ASSUME NO WRAP AROUND. +% +% This is the neighborhood as a function of con: +% +% con=4,r=1 con=8,r=sqrt(2) con=12,r=2 con=24,r=sqrt(8) +% nn 2nd order 4th order +% x x x x x x +% x x x x x x x x x x x x +% x o x x o x x x o x x x x o x x +% x x x x x x x x x x x x +% x x x x x x +% +% Examples: +% Consider a 3x4 grid +% 1 4 7 10 +% 2 5 8 11 +% 3 6 9 12 +% +% 4-connected: +% G=mk_2D_lattice(3,4,4); +% find(G(1,:)) = [2 4] +% find(G(5,:)) = [2 4 6 8] +% +% 8-connected: +% G=mk_2D_lattice(3,4,8); +% find(G(1,:)) = [2 4 5] +% find(G(5,:)) = [1 2 3 4 6 7 8 9] + +% meshgrid trick due to Temu Gautama (temu@neuro.kuleuven.ac.be) + +if nargin < 3, con = 4; end + +switch con, + case 4, r = 1; + case 8, r = sqrt(2); + case 12, r = 2; + case 24, r = sqrt(8); + otherwise, error(['unrecognized connectivity ' num2str(con)]) +end + + +npixels = nrows*ncols; + +[x y]=meshgrid(1:ncols, 1:nrows); +M = [x(:) y(:)]; +M1 = repmat(reshape(M',[1 2 npixels]),[npixels 1 1]); +M2 = repmat(M,[1 1 npixels]); +%D = squeeze(sum(abs(M1-M2),2)); % Manhattan distance +M3 = M1-M2; +D = sqrt(squeeze(M3(:,1,:)) .^2 + squeeze(M3(:,2,:)) .^2); % Euclidean distance +G = reshape(D <= r,npixels,npixels); +G = setdiag(G, 0); diff --git a/sourcecodes/bnt-master/graph/mk_2D_lattice_slow.m b/sourcecodes/bnt-master/graph/mk_2D_lattice_slow.m new file mode 100644 index 00000000..0c646d80 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_2D_lattice_slow.m @@ -0,0 +1,135 @@ +function G = mk_2D_lattice_slow(nrows, ncols, wrap_around) +% MK_2D_LATTICE Return adjacency matrix for 4-nearest neighbor connected 2D lattice +% G = mk_2D_lattice(nrows, ncols, wrap_around) +% G(k1, k2) = 1 iff k1=(i1,j1) is connected to k2=(i2,j2) +% +% If wrap_around = 1, we use toroidal boundary conditions (default = 0) +% +% Nodes are assumed numbered as in the following 3x3 lattice +% 1 4 7 +% 2 5 8 +% 3 6 9 +% +% e.g., G = mk_2D_lattice(3, 3, 0) returns +% 0 1 0 1 0 0 0 0 0 +% 1 0 1 0 1 0 0 0 0 +% 0 1 0 0 0 1 0 0 0 +% 1 0 0 0 1 0 1 0 0 +% 0 1 0 1 0 1 0 1 0 +% 0 0 1 0 1 0 0 0 1 +% 0 0 0 1 0 0 0 1 0 +% 0 0 0 0 1 0 1 0 1 +% 0 0 0 0 0 1 0 1 0 +% so find(G(5,:)) = [2 4 6 8] +% but find(G(1,:)) = [2 4] +% +% Using wrap around, G = mk_2D_lattice(3, 3, 1), we get +% 0 1 1 1 0 0 1 0 0 +% 1 0 1 0 1 0 0 1 0 +% 1 1 0 0 0 1 0 0 1 +% 1 0 0 0 1 1 1 0 0 +% 0 1 0 1 0 1 0 1 0 +% 0 0 1 1 1 0 0 0 1 +% 1 0 0 1 0 0 0 1 1 +% 0 1 0 0 1 0 1 0 1 +% 0 0 1 0 0 1 1 1 0 +% so find(G(5,:)) = [2 4 6 8] +% and find(G(1,:)) = [2 3 4 7] + +if nargin < 3, wrap_around = 0; end + +% M contains the number of each cell e.g. +% 1 4 7 +% 2 5 8 +% 3 6 9 +% North neighbors (assuming wrap around) are +% 3 6 9 +% 1 4 7 +% 2 5 8 +% Without wrap around, they are +% 1 4 7 +% 1 4 7 +% 2 5 8 +% The first row is arbitrary, since pixels at the top have no north neighbor. + +if nrows==1 + G = zeros(1, ncols); + for i=1:ncols-1 + G(i,i+1) = 1; + G(i+1,i) = 1; + end + if wrap_around + G(1,ncols) = 1; + G(ncols,1) = 1; + end + return; +end + + +npixels = nrows*ncols; + +N = 1; E = 2; S = 3; W = 4; +if wrap_around + rows{N} = [nrows 1:nrows-1]; cols{N} = 1:ncols; + rows{E} = 1:nrows; cols{E} = [2:ncols 1]; + rows{S} = [2:nrows 1]; cols{S} = 1:ncols; + rows{W} = 1:nrows; cols{W} = [ncols 1:ncols-1]; +else + rows{N} = [1 1:nrows-1]; cols{N} = 1:ncols; + rows{E} = 1:nrows; cols{E} = [1 1:ncols-1]; + rows{S} = [2:nrows nrows]; cols{S} = 1:ncols; + rows{W} = 1:nrows; cols{W} = [2:ncols ncols]; +end + +M = reshape(1:npixels, [nrows ncols]); +nbrs = cell(1, 4); +for i=1:4 + nbrs{i} = M(rows{i}, cols{i}); +end + + +G = zeros(npixels, npixels); +if wrap_around + for i=1:4 + if 0 + % naive + for p=1:npixels + G(p, nbrs{i}(p)) = 1; + end + else + % vectorized + ndx2 = sub2ind([npixels npixels], 1:npixels, nbrs{i}(:)'); + G(ndx2) = 1; + end + end +else + i = N; + mask = ones(nrows, ncols); + mask(1,:) = 0; % pixels in row 1 have no nbr to the north + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = E; + mask = ones(nrows, ncols); + mask(:,ncols) = 0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = S; + mask = ones(nrows, ncols); + mask(nrows,:)=0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; + + i = W; + mask = ones(nrows, ncols); + mask(:,1)=0; + ndx = find(mask); + ndx2 = sub2ind([npixels npixels], ndx, nbrs{i}(ndx)); + G(ndx2) = 1; +end + +G = setdiag(G, 0); diff --git a/sourcecodes/bnt-master/graph/mk_adj_mat.m b/sourcecodes/bnt-master/graph/mk_adj_mat.m new file mode 100644 index 00000000..09f73d4a --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_adj_mat.m @@ -0,0 +1,36 @@ +function [A, names] = mk_adj_mat(connections, names, topological) +% MK_ADJ_MAT Make a directed adjacency matrix from a list of connections between named nodes. +% +% A = mk_adj_mat(connections, name) +% This is best explaine by an example: +% names = {'WetGrass', 'Sprinkler', 'Cloudy', 'Rain'}; +% connections = {'Cloudy', 'Sprinkler'; 'Cloudy', 'Rain'; 'Sprinkler', 'WetGrass'; 'Rain', 'WetGrass'}; +% adds the arcs C -> S, C -> R, S -> W, R -> W. Node 1 is W, 2 is S, 3 is C, 4 is R. +% +% [A, names] = mk_adj_mat(connections, name, 1) +% The last argument of 1 indicates that we should topologically sort the nodes (parents before children). +% In the example, the numbering becomes: node 1 is C, 2 is R, 3 is S, 4 is W +% and the return value of names gets permuted to {'Cloudy', 'Rain', 'Sprinkler', 'WetGrass'}. +% Note that topological sorting the graph is only possible if it has no directed cycles. + +if nargin < 3, topological = 0; end + +n=length(names); +A=zeros(n); +[nr nc] = size(connections); +for r=1:nr + from = strmatch(connections{r,1}, names, 'exact'); + assert(~isempty(from)); + to = strmatch(connections{r,2}, names, 'exact'); + assert(~isempty(to)); + %fprintf(1, 'from %s %d to %s %d\n', connections{r,1}, from, connections{r,2}, to); + A(from,to) = 1; +end + +if topological + order = topological_sort(A); + A = A(order, order); + names = names(order); +end + + diff --git a/sourcecodes/bnt-master/graph/mk_adjmat_chain.m b/sourcecodes/bnt-master/graph/mk_adjmat_chain.m new file mode 100644 index 00000000..d206b272 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_adjmat_chain.m @@ -0,0 +1,8 @@ +function G = mk_adjmat_chain(T) +% MK_DAG_CHAIN Make adjacency matrix for bi-directional Markov chain of T nodes +% function G = mk_dag_chain(T) +% +% G(t,t+1) = 1 for all t 4. + +if nargin < 2, order = []; end + +use_file = 0; + +global BNT_HOME +fname = sprintf('%s/DAGS%d.mat', BNT_HOME, N); +if use_file & exist(fname, 'file') + S = load(fname, '-mat'); + fprintf('loading %s\n', fname); + Gs = S.Gs; + return; +end + +m = 2^(N*N); +ind = ind2subv(2*ones(1,N^2), 1:m); +Gs = {}; +j = 1; +directed = 1; +for i=1:m + dag = reshape(ind(i,:)-1, N, N); + if acyclic(dag, directed) + out_of_order = 0; + if ~isempty(order) + for k=1:N-1 + if any(dag(order(k+1:end), k)) + out_of_order = 1; + break; + end + end + end + if ~out_of_order + Gs{j} = dag; + j = j + 1; + end + end +end + +if use_file + disp(['mk_all_dags: saving to ' fname '!']); + save(fname, 'Gs'); +end diff --git a/sourcecodes/bnt-master/graph/mk_nbrs_of_dag.m b/sourcecodes/bnt-master/graph/mk_nbrs_of_dag.m new file mode 100644 index 00000000..04742774 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_nbrs_of_dag.m @@ -0,0 +1,64 @@ +function [Gs, op, nodes] = mk_nbrs_of_dag(G0) +% MK_NBRS_OF_DAG Make all DAGs that differ from G0 by a single edge deletion, addition or reversal +% [Gs, op, nodes] = mk_nbrs_of_dag(G0) +% +% Gs{i} is the i'th neighbor. +% op{i} = 'add', 'del', or 'rev' is the operation used to create the i'th neighbor. +% nodes(i,1:2) are the head and tail of the operated-on arc. + +Gs = {}; +op = {}; +nodes = []; + +[I,J] = find(G0); +nnbrs = 1; +% all single edge deletions +for e=1:length(I) + i = I(e); j = J(e); + G = G0; + G(i,j) = 0; + Gs{nnbrs} = G; + op{nnbrs} = 'del'; + nodes(nnbrs, :) = [i j]; + nnbrs = nnbrs + 1; +end + +% all single edge reversals +for e=1:length(I) + i = I(e); j = J(e); + G = G0; + G(i,j) = 0; + G(j,i) = 1; + if acyclic(G) + Gs{nnbrs} = G; + op{nnbrs} = 'rev'; + nodes(nnbrs, :) = [i j]; + nnbrs = nnbrs + 1; + end +end + +[I,J] = find(~G0); +% all single edge additions +for e=1:length(I) + i = I(e); j = J(e); + if i ~= j % don't add self arcs + G = G0; + G(i,j) = 1; + if G(j,i)==0 % don't add i->j if j->i exists already + if acyclic(G) + Gs{nnbrs} = G; + op{nnbrs} = 'add'; + nodes(nnbrs, :) = [i j]; + nnbrs = nnbrs + 1; + end + end + end +end + + + + + + + + diff --git a/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph.m b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph.m new file mode 100644 index 00000000..f71c2b54 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph.m @@ -0,0 +1,132 @@ +function [Gs, op, nodes, A] = my_mk_nbs_of_digraph(G0,A) +% MY_MK_NBRS_OF_DIGRAPH Make all digraphs that differ from G0 by a single edge deletion, addition or reversal, subject to acyclicity +% [Gs, op, nodes, A] = my_mk_nbrs_of_digraph(G0,) +% +% G0 is an adj matrix s.t. G0(i,j)=1 iff i->j in graph +% A is the ancestor matrix for G0 (opt, creates if necessary) +% +% Gs(:,:,i) is the i'th neighbor +% op{i} = 'add', 'del', or 'rev' is the operation used to create the i'th neighbor. +% nodes(i,1:2) are the head and tail of the operated-on arc. +% Modified from mk_nbrs_of_digraph by Sonia Leach +% +% Modified by Sonia Leach Feb 02 + +if nargin ==1, A = reachability_graph(G0');, end + +n = length(G0); +[I,J] = find(G0); % I(k), J(k) is the k'th edge +E = length(I); % num edges present in G0 + + +% SINGLE EDGE DELETIONS +% all deletions are valid wrt acyclity + +Grep = repmat(G0(:), 1, E); % each column is a copy of G0 +% edge_ndx(k) is the scalar location of the k'th edge +edge_ndx = find(G0); + +% edge_ndx = subv2ind([n n], [I J]); % equivalent +% We set (ndx(k), k) to 0 for k=1:E in Grep +ndx = subv2ind(size(Grep), [edge_ndx(:) (1:E)']); +G1 = Grep; +G1(ndx) = 0; +Gdel = reshape(G1, [n n E]); + + +% SINGLE EDGE REVERSALS + +% SML: previously Kevin had that legal structure was if +% A(P,i)=1 for any P = { p | p in parents(j), p~=i} +% specifically he said +% "if any(A(ps,i)) then there is a path i -> parent of j -> j +% so reversing i->j would create a cycle" +% Thus put in another way: +% for each i,j if sum(G0(:,j)' * A(:,i)) > 0, reversing i->j +% is not legal. +% +% Ex. Suppose we want to check if 2->4 can be reversed in the +% following graph: +% G0 = A = +% 0 0 1 0 0 0 0 0 +% 0 0 1 1 0 0 0 0 +% 0 0 0 1 1 1 0 0 +% 0 0 0 0 1 1 1 0 +% +% Then parents(4) = G0(:,4) = [0 1 1 0]' +% and A(:,2) = [0 0 1 1]. Thus G0(:,4)'*A(:,2) = 1 b/c 3 is +% an ancestor of 4 and a child of 2. Note that this works b/c +% matrix multiplication has the effect of ANDing the two vectors +% and summing up the result (equiv. to the any(A(ps,i)) in kevin's code) +% +% So, we vectorize and check for all i,j pairs by looking for +% 1's in L = (G0'*A)' which has L(i,j)=1 if rev(i,j) not legal +% Note that this will give 1's where there are none in the G0 +% so we do a L=max(0, G0-L) to cancel out only the existing edges that +% aren't legal (subtracting where both are 1 and setting where +% G0=0 and A=1 back to 0). + +L = max(0, G0-(G0'*A)'); +[IL, JL] = find(L); % I(k), J(k) is the k'th legal edge to rev. +EL = length(IL); + + +% SML: First we have to DELETE THE EDGES WE ARE REVERSING +% We can't use G1 w/ reversed edges already deleted (as +% Kevin did) b/c the space of possible deletions are different +% now (some reverses aren't legal) + +Grep = repmat(G0(:), 1, EL); % each column is a copy of G0 +% edge_ndx(k) is the scalar location of the k'th edge +edge_ndx = subv2ind([n n], [IL JL]); +% We set (ndx(k), k) to 0 for k=1:E in Grep +ndx = subv2ind(size(Grep), [edge_ndx(:) (1:EL)']); +G1 = Grep; +G1(ndx) = 0; + +% SML: Now we add in our REVERSED EDGES +% rev_edge_ndx(k) is the scalar location of the k'th legal reversed edge +rev_edge_ndx = subv2ind([n n], [JL IL]); + +% We set (rev_edge_ndx(k), k) to 1 for k=1:EL in G1 +% We have already deleted i->j in the previous step +ndx = subv2ind(size(Grep), [rev_edge_ndx(:) (1:EL)']); +G1(ndx) = 1; +Grev = reshape(G1, [n n EL]); + +% SINGLE EDGE ADDITIONS + +% SML: previously Kevin had that any addition was legal if A(i,j)=0 +% however, you can not add i->j if j is a descendent of i. +% Thus, we create all possible additions in Gbar and then +% subtract the descendants of each edge as possible parents +% This means the potential parents of i (i.e. Gbar(:,i)) +% can not also be descendants if i i.e. (A(:,i)) which is accomplished +% by subtracting (Gbar-A == 1 iff Gbar=1 & A=0) + +Gbar = ~G0; % Gbar(i,j)=1 iff there is no i->j edge in G0 +Gbar = setdiag(Gbar, 0); % turn off self loops + +GbarL = Gbar-A; +[IbarL, JbarL] = find(GbarL); % I(k), J(k) is the k'th legal edge to add +EbarL = length(IbarL); + +bar_edge_ndx = find(GbarL); + +Grep = repmat(G0(:), 1, EbarL); % each column is a copy of G0 +ndx = subv2ind(size(Grep), [bar_edge_ndx(:) (1:EbarL)']); +Grep(ndx) = 1; +Gadd = reshape(Grep, [n n EbarL]); + + +Gs = cat(3, Gdel, Grev, Gadd); + +nodes = [I J; + IL JL; + IbarL JbarL]; + +op = cell(1, E+EL+EbarL); +op(1:E) = {'del'}; +op(E+(1:EL)) = {'rev'}; +op((E+EL+1):end) = {'add'}; + diff --git a/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_broken.m b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_broken.m new file mode 100644 index 00000000..8d43afcb --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_broken.m @@ -0,0 +1,111 @@ +function [Gs, op, nodes] = mk_nbrs_of_digraph(G0) +% MK_NBRS_OF_DIGRAPH Make all digraphs that differ from G0 by a single edge deletion, addition or reversal +% [Gs, op, nodes] = mk_nbrs_of_digraph(G0) +% +% Gs(:,:,i) is the i'th neighbor +% op{i} = 'add', 'del', or 'rev' is the operation used to create the i'th neighbor. +% nodes(i,1:2) are the head and tail of the operated-on arc. + +debug = 0; % the vectorized version is about 3 to 10 times faster + +n = length(G0); +[I,J] = find(G0); % I(k), J(k) is the k'th edge +E = length(I); % num edges present in G0 + +% SINGLE EDGE DELETIONS + +Grep = repmat(G0(:), 1, E); % each column is a copy of G0 +% edge_ndx(k) is the scalar location of the k'th edge +edge_ndx = find(G0); +% edge_ndx = subv2ind([n n], [I J]); % equivalent +% We set (ndx(k), k) to 0 for k=1:E in Grep +ndx = subv2ind(size(Grep), [edge_ndx(:) (1:E)']); +G1 = Grep; +G1(ndx) = 0; +Gdel = reshape(G1, [n n E]); + + +% if debug +% % Non-vectorized version +% ctr = 1; +% for e=1:E +% i = I(e); j = J(e); +% Gdel2(:,:,ctr) = G0; +% Gdel2(i,j,ctr) = 0; +% ctr = ctr + 1; +% end +% assert(isequal(Gdel, Gdel2)); +% end + + +% SINGLE EDGE REVERSALS + +% rev_edge_ndx(k) is the scalar location of the k'th reversed edge +%rev_edge_ndx = find(G0'); % different order to edge_ndx, which is bad +rev_edge_ndx = subv2ind([n n], [J I]); +% We set (rev_edge_ndx(k), k) to 1 for k=1:E in G1 +% We have already deleted i->j in the previous step +ndx = subv2ind(size(Grep), [rev_edge_ndx(:) (1:E)']); +G1(ndx) = 1; +Grev = reshape(G1, [n n E]); + +% if debug +% % Non-vectorized version +% ctr = 1; +% for e=1:E +% i = I(e); j = J(e); +% Grev2(:,:,ctr) = G0; +% Grev2(i,j,ctr) = 0; +% Grev2(j,i,ctr) = 1; +% ctr = ctr + 1; +% end +% assert(isequal(Grev, Grev2)); +% end + + +% SINGLE EDGE ADDITIONS + +Gbar = ~G0; % Gbar(i,j)=1 iff there is no i->j edge in G0 +Gbar = setdiag(Gbar, 0); % turn off self loops +[Ibar,Jbar] = find(Gbar); + +bar_edge_ndx = find(Gbar); +Ebar = length(Ibar); % num edges present in Gbar +Grep = repmat(G0(:), 1, Ebar); % each column is a copy of G0 +ndx = subv2ind(size(Grep), [bar_edge_ndx(:) (1:Ebar)']); +Grep(ndx) = 1; +Gadd = reshape(Grep, [n n Ebar]); + +% if debug +% % Non-vectorized version +% ctr = 1; +% for e=1:length(Ibar) +% i = Ibar(e); j = Jbar(e); +% Gadd2(:,:,ctr) = G0; +% Gadd2(i,j,ctr) = 1; +% ctr = ctr + 1; +% end +% assert(isequal(Gadd, Gadd2)); +% end + + +Gs = cat(3, Gdel, Grev, Gadd); + +nodes = [I J; + I J; + Ibar Jbar]; + +op = cell(1, E+E+Ebar); +op(1:E) = {'del'}; +op(E+1:2*E) = {'rev'}; +op(2*E+1:end) = {'add'}; + + +% numeric output: +% op(i) = 1, 2, or 3, if the i'th neighbor was created by adding, deleting or reversing an arc. + +ADD = 1; +DEL = 2; +REV = 3; + +%op = [repmat(DEL, 1, E) repmat(REV, 1, E) repmat(ADD, 1, Ebar)]; diff --git a/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_not_vectorized.m b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_not_vectorized.m new file mode 100644 index 00000000..d622943d --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_nbrs_of_digraph_not_vectorized.m @@ -0,0 +1,53 @@ +function [Gs, op, nodes] = mk_nbrs_of_digraph2(G0) +% MK_NBRS_OF_DIGRAPH Make all digraphs that differ from G0 by a single edge deletion, addition or reversal +% [Gs, op, nodes] = mk_nbrs_of_digraph(G0) +% op{i} = 'add', 'del', or 'rev' is the operation used to create the i'th neighbor. +% nodes(i,1:2) are the head and tail of the operated-on arc. + +[I,J] = find(G0); +G0bar = setdiag(~G0, 0); % exclude self loops in graph complement +[Ibar,Jbar] = find(G0bar); +nnbrs = 2*length(I) + length(Ibar); +Gs = cell(1, nnbrs); +op = cell(1, nnbrs); +nodes = zeros(nnbrs, 2); + +nbr = 1; +% all single edge deletions +for e=1:length(I) + i = I(e); j = J(e); + G = G0; + G(i,j) = 0; + Gs{nbr} = G; + op{nbr} = 'del'; + nodes(nbr, :) = [i j]; + nbr = nbr + 1; +end + +% all single edge reversals +for e=1:length(I) + i = I(e); j = J(e); + G = G0; + G(i,j) = 0; + G(j,i) = 1; + Gs{nbr} = G; + op{nbr} = 'rev'; + nodes(nbr, :) = [i j]; + nbr = nbr + 1; +end + +[I,J] = find(~G0); +% all single edge additions +for e=1:length(I) + i = I(e); j = J(e); + G = G0; + if i ~= j % don't add self loops + G(i,j) = 1; + Gs{nbr} = G; + op{nbr} = 'add'; + nodes(nbr, :) = [i j]; + nbr = nbr + 1; + end +end + +assert(nnbrs == nbr-1); diff --git a/sourcecodes/bnt-master/graph/mk_rnd_dag.m b/sourcecodes/bnt-master/graph/mk_rnd_dag.m new file mode 100644 index 00000000..4bf59c34 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_rnd_dag.m @@ -0,0 +1,27 @@ +function [dag, order] = mk_rnd_dag(N, max_fan_in) +% MY_MK_RND_DAG Create a random directed acyclic graph +% +% [dag, order] = my_mk_rnd_dag(N, max_fan_in) +% max_fan_in defaults to N. +% order is the random topological order that was chosen + +% Modified by Sonia Leach 2/25/02 + +if nargin < 2, max_fan_in = N; end + +order = randperm(N); +dag = zeros(N,N); +for i=2:N + j = order(i); + %k = sample_discrete(normalise(ones(1, min(i-1, max_fan_in)))); + k = sample_discrete(normalise(ones(1, min(i-1, max_fan_in)+1))) - 1; % min = 0 (bug fix due to + % Pedrito, 7/28/04) + SS = order(1:i-1); % get Set of possible parentS + p = randperm(length(SS)); % permute order of set + dag(SS(p(1:k)),j) = 1; % take first k in permuted order + + % Kevin had: + %SS = subsets(order(1:i-1), k, k); + %p = sample_discrete(normalise(ones(1, length(SS)))); + %dag(SS{p}, j) = 1; +end diff --git a/sourcecodes/bnt-master/graph/mk_rnd_dag_given_edge_prob.m b/sourcecodes/bnt-master/graph/mk_rnd_dag_given_edge_prob.m new file mode 100644 index 00000000..205e5b51 --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_rnd_dag_given_edge_prob.m @@ -0,0 +1,15 @@ +function dag = sample_dag(P) +% SAMPLE_DAG Create a random directed acyclic graph with edge probabilities P(i,j) +% dag = sample_dag(P) +% +% This uses rejection sampling to reject graphs with directed cycles. + +done = 0; +directed = 1; +iter = 1; +while ~done + dag = binornd(1, P); % each edge is an indep Bernoulli (0/1) random variable + dag = setdiag(dag, 0); + done = acyclic(dag, directed); + iter = iter + 1 +end diff --git a/sourcecodes/bnt-master/graph/mk_rooted_tree.m b/sourcecodes/bnt-master/graph/mk_rooted_tree.m new file mode 100644 index 00000000..396043eb --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_rooted_tree.m @@ -0,0 +1,19 @@ +function [T, pre, post, cycle] = mk_rooted_tree(G, root) +% MK_ROOTED_TREE Make a directed tree pointing away from root +% [T, pre, post, cycle] = mk_rooted_tree(G, root) + +n = length(G); +T = sparse(n,n); % not the same as T = sparse(n) ! +directed = 0; +[d, pre, post, cycle, f, pred] = dfs(G, root, directed); +[junk, pre2] = sort(d); +assert(isequal(pre, pre2)) +[junk, post2] = sort(f); +assert(isequal(post, post2)); +%[d, pre, post, cycle, f, pred] = dfs(G, [], directed); +for i=1:length(pred) + if pred(i)>0 + T(pred(i),i)=1; + end +end + diff --git a/sourcecodes/bnt-master/graph/mk_undirected.m b/sourcecodes/bnt-master/graph/mk_undirected.m new file mode 100644 index 00000000..0a1614aa --- /dev/null +++ b/sourcecodes/bnt-master/graph/mk_undirected.m @@ -0,0 +1,11 @@ +function U = mk_undirected(G) + +[nr nc] = size(G); +U = G; +for i=1:nr + for j=1:nc + if U(i,j)==1 + U(j,i) = 1; + end + end +end diff --git a/sourcecodes/bnt-master/graph/moralize.m b/sourcecodes/bnt-master/graph/moralize.m new file mode 100644 index 00000000..59beff97 --- /dev/null +++ b/sourcecodes/bnt-master/graph/moralize.m @@ -0,0 +1,12 @@ +function [M, moral_edges] = moralize(G) +% MORALIZE Ensure that for every child, all its parents are married, and drop directionality of edges. +% [M, moral_edges] = moralize(G) + +M = G; +n = length(M); +for i=1:n + fam = family(G,i); + M(fam,fam)=1; +end +M = setdiag(M,0); +moral_edges = sparse(triu(max(0,M-G),1)); diff --git a/sourcecodes/bnt-master/graph/neighbors.m b/sourcecodes/bnt-master/graph/neighbors.m new file mode 100644 index 00000000..7275c4e0 --- /dev/null +++ b/sourcecodes/bnt-master/graph/neighbors.m @@ -0,0 +1,7 @@ +function ns = neighbors(adj_mat, i) +% NEIGHBORS Find the parents and children of a node in a graph. +% ns = neighbors(adj_mat, i) + +%ns = myunion(children(adj_mat, i), parents(adj_mat, i)); +ns = unique([find(adj_mat(i,:)) find(adj_mat(:,i))']); + diff --git a/sourcecodes/bnt-master/graph/parents.m b/sourcecodes/bnt-master/graph/parents.m new file mode 100644 index 00000000..24354a74 --- /dev/null +++ b/sourcecodes/bnt-master/graph/parents.m @@ -0,0 +1,5 @@ +function ps = parents(adj_mat, i) +% PARENTS Return the list of parents of node i +% ps = parents(adj_mat, i) + +ps = find(adj_mat(:,i))'; diff --git a/sourcecodes/bnt-master/graph/pred2path.m b/sourcecodes/bnt-master/graph/pred2path.m new file mode 100644 index 00000000..4763d12c --- /dev/null +++ b/sourcecodes/bnt-master/graph/pred2path.m @@ -0,0 +1,78 @@ +function rte = pred2path(P,s,t) +%PRED2PATH Convert predecessor indices to shortest paths from node 's' to 't'. +% rte = pred2path(P,s,t) +% P = |s| x n matrix of predecessor indices (from DIJK) +% s = FROM node indices +% = [] (default), paths from all nodes +% t = TO node indices +% = [] (default), paths to all nodes +% rte = |s| x |t| cell array of paths (or routes) from 's' to 't', where +% rte{i,j} = path from s(i) to t(j) +% = [], if no path exists from s(i) to t(j) +% +% (Used with output of DIJK) + +% Copyright (c) 1998-2001 by Michael G. Kay +% Matlog Version 5 22-Aug-2001 + +% Input Error Checking ****************************************************** +error(nargchk(1,3,nargin)); + +[rP,n] = size(P); + +if nargin < 2 | isempty(s), s = (1:n)'; else s = s(:); end +if nargin < 3 | isempty(t), t = (1:n)'; else t = t(:); end + +if any(P < 0 | P > n) + error(['Elements of P must be integers between 1 and ',num2str(n)]); +elseif any(s < 1 | s > n) + error(['''s'' must be an integer between 1 and ',num2str(n)]); +elseif any(t < 1 | t > n) + error(['''t'' must be an integer between 1 and ',num2str(n)]); +end +% End (Input Error Checking) ************************************************ + +rte = cell(length(s),length(t)); + +for i = 1:length(s) + if rP == 1 + si = 1; + else + si = s(i); + if si < 1 | si > rP + error('Invalid P matrix.') + end + end + for j = 1:length(t) + tj = t(j); + if tj == s(i) + r = tj; + elseif P(si,tj) == 0 + r = []; + else + r = tj; + while tj ~= s(i) + if tj < 1 | tj > n + error('Invalid element of P matrix found.') + end + r = [P(si,tj) r]; + tj = P(si,tj); + end + end + rte{i,j} = r; + end +end + +if length(s) == 1 & length(t) == 1 + rte = rte{:}; +end + +%rte = t; +while 0%t ~= s + if t < 1 | t > n | round(t) ~= t + error('Invalid ''pred'' element found prior to reaching ''s'''); + end + rte = [P(t) rte]; + t = P(t); +end + diff --git a/sourcecodes/bnt-master/graph/reachability_graph.m b/sourcecodes/bnt-master/graph/reachability_graph.m new file mode 100644 index 00000000..0f3c4f58 --- /dev/null +++ b/sourcecodes/bnt-master/graph/reachability_graph.m @@ -0,0 +1,19 @@ +function C = reachability_graph(G) +% REACHABILITY_GRAPH C(i,j) = 1 iff there is a path from i to j in DAG G +% C = reachability_graph(G) + +if 1 + % expm(G) = I + G + G^2 / 2! + G^3 / 3! + ... + M = expm(double(full(G))) - eye(length(G)); + C = (M>0); +else + % This computes C = G + G^2 + ... + G^{n-1} + n = length(G); + A = G; + C = zeros(n); + for i=1:n-1 + C = C + A; + A = A * G; + end + C = (C > 0); +end diff --git a/sourcecodes/bnt-master/graph/scc.m b/sourcecodes/bnt-master/graph/scc.m new file mode 100644 index 00000000..9a2e8b9d --- /dev/null +++ b/sourcecodes/bnt-master/graph/scc.m @@ -0,0 +1,64 @@ +function [c,v] = scc(a,tol) + +% Finds the strongly connected sets of vertices +% in the DI-rected G-raph of A +% c = 0-1 matrix displaying accessibility +% v = displays the equivalent classes +% +% v(i,j) is the j'th member of the i'th equiv class (0 padded) +% +% http://www.math.wsu.edu/math/faculty/tsat/matlab.html + +[m,n] = size(a); +if m~=n 'Not a Square Matrix', break, end +b=abs(a); o=ones(size(a)); x=zeros(1,n); +msg='The Matrix is Irreducible !'; v='Connected Directed Graph !'; +if (nargin==1) tol=n*eps*norm(a,'inf'); end + +% Create a companion matrix +c = b>tol*o; +if (c==o) + % msg, break + v = 1:length(a); + return +end + + +% Compute accessibility in at most n-step paths +for k=1:n + for j=1:n + for i=1:n + % If index i accesses j, where can you go ? + if c(i,j) > 0 c(i,:) = c(i,:)+c(j,:); end + end + end +end +% Create a 0-1 matrix with the above information +c>zeros(size(a)); c=ans; if (c==o) msg, break, end + +% Identify equivalence classes +d=c.*c'+eye(size(a)); d>zeros(size(a)); d=ans; +v=zeros(size(a)); +for i=1:n find(d(i,:)); ans(n)=0; v(i,:)=ans; end + +% Eliminate displaying of identical rows +i=1; +while(i0 + h(j,:)=v(i,:); + j=j+1; + end +end +v=h; + + + diff --git a/sourcecodes/bnt-master/graph/strong_elim_order.m b/sourcecodes/bnt-master/graph/strong_elim_order.m new file mode 100644 index 00000000..3fd995d7 --- /dev/null +++ b/sourcecodes/bnt-master/graph/strong_elim_order.m @@ -0,0 +1,75 @@ +function order = strong_elim_order(G, node_sizes, partial_order) +% STRONG_ELIM_ORDER Find an elimination order to produce a strongly triangulated graph. +% order = strong_elim_order(moral_graph, node_sizes, partial_order) +% +% partial_order(i,j)=1 if we must marginalize i *after* j +% (so i will be nearer the strong root). +% e.g., if j is a decision node and i is its information set: +% we cannot maximize j if we have marginalized out some of i +% e.g., if j is a continuous child and i is its discrete parent: +% we want to integrate out the cts nodes before the discrete ones, +% so that the marginal is strong. +% +% For details, see +% - Jensen, Jensen and Dittmer, "From influence diagrams to junction trees", UAI 94. +% - Lauritzen, "Propgation of probabilities, means, and variances in mixed graphical +% association models", JASA 87(420):1098--1108, 1992. +% +% On p369 of the Jensen paper, they state "the reverse of the elimination order must be some +% extension of [the partial order] to a total order". +% We make no attempt to find the best such total ordering, in the sense of minimizing the weight +% of the resulting cliques. + +% Example from the Jensen paper: +% Let us number the nodes in Fig 1 from top to bottom, left to right, +% so a=1,b=2,D1=3,c=4,...,l=14,j=15,k=16. +% The elimination ordering they propose on p370 is [14 15 16 11 12 1 4 5 10 8 13 9 7 6 3 2]; + +if 0 + total_order = topological_sort(partial_order); + order = total_order(end:-1:1); % no attempt to find an optimal constrained ordering! + return; +end + +% The following implementation is due to Ilya Shpitser and seems to give wrong +% results on cg1 + +n = length(G); +MG = G; % copy the original graph +uneliminated = ones(1,n); +order = zeros(1,n); + +for i=1:n + roots = []; + k = 1; + for j=1:n + if sum(partial_order(j,:)) == 0 + roots(k) = j; + k = k + 1; + end + end + U = find(uneliminated); + valid = myintersect(U, roots); + % Choose the best node from the set of valid candidates + score1 = zeros(1,length(valid)); + score2 = zeros(1,length(valid)); + for j=1:length(valid) + k = valid(j); + ns = myintersect(neighbors(G, k), U); + l = length(ns); + M = MG(ns,ns); + score1(j) = l^2 - sum(M(:)); % num. added edges + score2(j) = prod(node_sizes([k ns])); % weight of clique + end + j1s = find(score1==min(score1)); + j = j1s(argmin(score2(j1s))); + k = valid(j); + uneliminated(k) = 0; + order(i) = k; + ns = myintersect(neighbors(G, k), U); + if ~isempty(ns) + G(ns,ns) = 1; + G = setdiag(G,0); + end + partial_order(:,k) = 0; +end diff --git a/sourcecodes/bnt-master/graph/test.m b/sourcecodes/bnt-master/graph/test.m new file mode 100644 index 00000000..6ffe3d2e --- /dev/null +++ b/sourcecodes/bnt-master/graph/test.m @@ -0,0 +1,16 @@ +% A - B +% | +% D - C - E + +A=1;B=2;C=3;D=4;E=5; +dag = zeros(5,5); +dag(A,B)=1; +%dag(A,D)=1; +dag(B,C)=1; +dag(C,D)=1; +dag(E,C)=1; +[d, pre, post, cycle, f, pred] = dfs(dag, A, 0) + +[T, pre, post, cycle] = mk_rooted_tree(dag, A) + +%[T, pre, post, cycle] = mkRootedTree(dag, A) diff --git a/sourcecodes/bnt-master/graph/test_strong_root.m b/sourcecodes/bnt-master/graph/test_strong_root.m new file mode 100644 index 00000000..86e1117e --- /dev/null +++ b/sourcecodes/bnt-master/graph/test_strong_root.m @@ -0,0 +1,34 @@ +function strong = test_strong_root(jtree,cliques,dnodes,root) +% This function tests, whether root is a strong root of jtree. +% The following parameters are used +% Input: +% jtree An matrix with two colums. jtree(i,j) == jtree(j,i) is 1 if node +% i is connected with node j +% cliques Cells which contain the nodes in each clique +% dnodes An array with the discrete nodes of the juntion tree. +% root It is tested whether root is the strong root of the junction tree +% Output: +% strong The output is 1 if root is the strong root of the junction tree jtree. +% Please note, that the running intersection property is not tested. +if isempty(dnodes) + strong = 1; + return; +end + +children = find(jtree(root,:)==1); +i = 1; +strong = 1; +while (i <= length(children)) & (strong==1) + child = children(i); + jtree(child,root) = 0; + jtree(root,child) = 0; + sep = myintersect(cliques{child},cliques{root}); + diff = mysetdiff(cliques{child},cliques{root}); + if (mysubset(sep,dnodes) | isempty(myintersect(diff,dnodes))) + strong = test_strong_root(jtree,cliques,dnodes,child); + else + strong = 0; + end; + i = i+1; +end + diff --git a/sourcecodes/bnt-master/graph/topological_sort.m b/sourcecodes/bnt-master/graph/topological_sort.m new file mode 100644 index 00000000..cd8b8325 --- /dev/null +++ b/sourcecodes/bnt-master/graph/topological_sort.m @@ -0,0 +1,30 @@ +function order = topological_sort(A) +% TOPOLOGICAL_SORT Return the nodes in topological order (parents before children). +% order = topological_sort(adj_mat) + +n = length(A); +indeg = zeros(1,n); +zero_indeg = []; % a stack of nodes with no parents +for i=1:n + indeg(i) = length(parents(A,i)); + if indeg(i)==0 + zero_indeg = [i zero_indeg]; + end +end + +t=1; +order = zeros(1,n); +while ~isempty(zero_indeg) + v = zero_indeg(1); % pop v + zero_indeg = zero_indeg(2:end); + order(t) = v; + t = t + 1; + cs = children(A, v); + for j=1:length(cs) + c = cs(j); + indeg(c) = indeg(c) - 1; + if indeg(c) == 0 + zero_indeg = [c zero_indeg]; % push c + end + end +end diff --git a/sourcecodes/bnt-master/graph/trees.txt b/sourcecodes/bnt-master/graph/trees.txt new file mode 100644 index 00000000..f5475aac --- /dev/null +++ b/sourcecodes/bnt-master/graph/trees.txt @@ -0,0 +1,168 @@ + +% make undirected adjacency matrix of graph/tree +% e.g., +% 1 +% / \ +% 2 3 +T = zeros(3,3); +T(1,2) = 1; T(2,1)=1; +T(1,3)=1; T(3,1) = 1; + +root = 1; +[T, preorder, postorder] = mk_rooted_tree(T, root); + +% bottom up message passing leaves to root +for n=postorder(:)' + for p = parents(T, n) + % p is parent of n + end +end + +% top down, root to leaves +for n=preorder(:)' + for c= children(T,n) + % c is child of n + end +end + + +%%%%%%%%%%%%% + +function ps = parents(adj_mat, i) +% PARENTS Return the list of parents of node i +% ps = parents(adj_mat, i) + +ps = find(adj_mat(:,i))'; + + +%%%%%%%%%%%% + +function cs = children(adj_mat, i, t) +% CHILDREN Return the indices of a node's children in sorted order +% c = children(adj_mat, i, t) +% +% t is an optional argument: if present, dag is assumed to be a 2-slice DBN + +if nargin < 3 + cs = find(adj_mat(i,:)); +else + if t==1 + cs = find(adj_mat(i,:)); + else + ss = length(adj_mat)/2; + j = i+ss; + cs = find(adj_mat(j,:)) + (t-2)*ss; + end +end + +%%%%%%%%%%% + +function [T, pre, post, cycle] = mk_rooted_tree(G, root) +% MK_ROOTED_TREE Make a directed, rooted tree out of an undirected tree. +% [T, pre, post, cycle] = mk_rooted_tree(G, root) + +n = length(G); +T = sparse(n,n); % not the same as T = sparse(n) ! +directed = 0; +[d, pre, post, cycle, f, pred] = dfs(G, root, directed); +for i=1:length(pred) + if pred(i)>0 + T(pred(i),i)=1; + end +end + + +%%%%%%%%%%% + +function [d, pre, post, cycle, f, pred] = dfs(adj_mat, start, directed) +% DFS Perform a depth-first search of the graph starting from 'start'. +% [d, pre, post, cycle, f, pred] = dfs(adj_mat, start, directed) +% +% Input: +% adj_mat(i,j)=1 iff i is connected to j. +% start is the root vertex of the dfs tree; if [], all nodes are searched +% directed = 1 if the graph is directed +% +% Output: +% d(i) is the time at which node i is first discovered. +% pre is a list of the nodes in the order in which they are first encountered (opened). +% post is a list of the nodes in the order in which they are last encountered (closed). +% 'cycle' is true iff a (directed) cycle is found. +% f(i) is the time at which node i is finished. +% pred(i) is the predecessor of i in the dfs tree. +% +% If the graph is a tree, preorder is parents before children, +% and postorder is children before parents. +% For a DAG, topological order = reverse(postorder). +% +% See Cormen, Leiserson and Rivest, "An intro. to algorithms" 1994, p478. + +n = length(adj_mat); + +global white gray black color +white = 0; gray = 1; black = 2; +color = white*ones(1,n); + +global time_stamp +time_stamp = 0; + +global d f +d = zeros(1,n); +f = zeros(1,n); + +global pred +pred = zeros(1,n); + +global cycle +cycle = 0; + +global pre post +pre = []; +post = []; + +if ~isempty(start) + dfs_visit(start, adj_mat, directed); +else + for u=1:n + if color(u)==white + dfs_visit(u, adj_mat, directed); + end + end +end + + +%%%%%%%%%% + +function dfs_visit(u, adj_mat, directed) + +global white gray black color time_stamp d f pred cycle pre post + +pre = [pre u]; +color(u) = gray; +time_stamp = time_stamp + 1; +d(u) = time_stamp; +if directed + ns = children(adj_mat, u); +else + ns = neighbors(adj_mat, u); + ns = mysetdiff(ns, pred(u)); % don't go back to visit the guy who called you! +end +for v=ns(:)' + %fprintf('u=%d, v=%d, color(v)=%d\n', u, v, color(v)) + switch color(v) + case white, % not visited v before (tree edge) + pred(v)=u; + dfs_visit(v, adj_mat, directed); + case gray, % back edge - v has been visited, but is still open + cycle = 1; + %fprintf('cycle: back edge from v=%d to u=%d\n', v, u); + case black, % v has been visited, but is closed + % no-op + end +end +color(u) = black; +post = [post u]; +time_stamp = time_stamp + 1; +f(u) = time_stamp; + + diff --git a/sourcecodes/bnt-master/graph/triangulate.c b/sourcecodes/bnt-master/graph/triangulate.c new file mode 100644 index 00000000..cda13533 --- /dev/null +++ b/sourcecodes/bnt-master/graph/triangulate.c @@ -0,0 +1,159 @@ +/* triangulate.c written by Ilya Shpitser */ + +#include + +#ifdef UNIX +#include "matlab.h" +#endif + +#include "matrix.h" +#include "mex.h" + +#include "elim.h" +#include "map.h" +#include "misc.h" + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]){ + + int dims [2]; + int i, j, k, m, n; + long index; + double * G_pr; + double * stage_pr; + double * answer_G_pr, * fill_ins_pr; + double * matlab_clique_pr; + mxArray * matlab_clique; + Elimination e; + float ** adj_mat; + int ** order = (int **) NULL; + Iterator iter, iter2; + word w, w2; + int ** fill_ins; + Map cliques; + Map clique; + mxArray * fill_ins_mat; + int * nodes; + mxArray * full; + +// (original) full = mlfFull((mxArray *) prhs[0]); + full = (mxArray *) mlfFull((mxArray *) prhs[0]); // added typecasting + /* Obtain graph matrix information. */ + m = mxGetM(full); + n = mxGetN(full); + G_pr = mxGetPr(full); + + if(n < 1 || m < 1){ + return; + } + + /* Allocate and populate the log weight adjacency matrix corresponding + to the input graph. */ + adj_mat = (float **) malloc(sizeof(float *) * m); + adj_mat[0] = (float *) malloc(sizeof(float) * m * n); + for(i = 1; i < m; i++){ + adj_mat[i] = adj_mat[i - 1] + n; + } + /* We no longer have log weight info, but we have a (total) ordering on + the nodes already, so we do not need this information. */ + for(i = 0; i < m; i++){ + for(j = 0; j < n; j++){ + index = j * m + i; + if(G_pr[index] > 0){ + adj_mat[i][j] = 1; + } else { + adj_mat[i][j] = 0; + } + } + } + + /* Convert the total elimination ordering into a partial order argument + for the elimination routine. The elimination routine's purpose in this + mode of operation is to return cliques and fill-in edges. */ + if(nrhs > 1){ + order = (int **) malloc(sizeof(int *) * m); + order[0] = (int *) malloc(sizeof(int) * m * n); + for(i = 1; i < m; i++){ + order[i] = order[i - 1] + n; + } + for(i = 0; i < m; i++){ + for(j = 0; j < n; j++){ + order[i][j] = 0; + } + } + stage_pr = mxGetPr(prhs[1]); + for(i = 0; i < mxGetN(prhs[1]) - 1; i++){ + order[(int) stage_pr[i] - 1][(int) stage_pr[i + 1] - 1] = 1; + } + } + + /* Find the elimination ordering. */ + e = find_elim(n, adj_mat, order, -1); + + /* Allocate memory for the answer, and set the answer. */ + plhs[0] = mxCreateDoubleMatrix(m, n, mxREAL); + answer_G_pr = mxGetPr(plhs[0]); + cliques = get_cliques(e); +/* + dims[0] = 1; + dims[1] = get_size_Map(cliques); + plhs[1] = mxCreateCellArray(2, (const int *) dims);*/ + plhs[1] = mxCreateCellMatrix(get_size_Map(cliques), 1); + fill_ins = get_fill_ins(e); + fill_ins_mat = mxCreateDoubleMatrix(m, n, mxREAL); + fill_ins_pr = mxGetPr(fill_ins_mat); + + for(i = 0; i < n; i++){ + for(j = 0; j < m; j++){ + index = j * m + i; + answer_G_pr[index] = G_pr[index]; + if(fill_ins[i][j] > 0){ + answer_G_pr[index] = 1; + fill_ins_pr[index] = 1; + } + } + } + mxDestroyArray(full); +// (original) plhs[2] = mlfSparse(fill_ins_mat, NULL, NULL, NULL, NULL, NULL); + plhs[2] = (mxArray *) mlfSparse(fill_ins_mat, NULL, NULL, NULL, NULL, NULL); // added typecasting + mxDestroyArray(fill_ins_mat); + nodes = (int *) malloc(sizeof(int) * n); + k = 0; + iter = get_Iterator(cliques); + while(!is_empty(iter)){ + w = next_key(iter); + clique = (Map) w.v; + matlab_clique = mxCreateDoubleMatrix(1, get_size_Map(clique), mxREAL); + matlab_clique_pr = mxGetPr(matlab_clique); + for(i = 0; i < n; i++){ + nodes[i] = 0; + } + iter2 = get_Iterator(clique); + while(!is_empty(iter2)){ + w2 = next_key(iter2); + nodes[w2.i] = w2.i + 1; + } + j = 0; + for(i = 0; i < n; i++){ + if(nodes[i] > 0){ + matlab_clique_pr[j++] = nodes[i]; + } + } + mxSetCell(plhs[1], k++, matlab_clique); + } + free(nodes); + + /* Finally, free the allocated memory. */ + destroy_Elimination(e); + if(adj_mat){ + if(adj_mat[0]){ + free(adj_mat[0]); + } + free(adj_mat); + } + if(order){ + if(order[0]){ + free(order[0]); + } + free(order); + } +} diff --git a/sourcecodes/bnt-master/graph/triangulate.m b/sourcecodes/bnt-master/graph/triangulate.m new file mode 100644 index 00000000..8725c62e --- /dev/null +++ b/sourcecodes/bnt-master/graph/triangulate.m @@ -0,0 +1,42 @@ +function [G, cliques, fill_ins] = triangulate(G, order) +% TRIANGULATE Ensure G is triangulated (chordal), i.e., every cycle of length > 3 has a chord. +% [G, cliques, fill_ins, cliques_containing_node] = triangulate(G, order) +% +% cliques{i} is the i'th maximal complete subgraph of the triangulated graph. +% fill_ins(i,j) = 1 iff we add a fill-in arc between i and j. +% +% To find the maximal cliques, we save each induced cluster (created by adding connecting +% neighbors) that is not a subset of any previously saved cluster. (A cluster is a complete, +% but not necessarily maximal, set of nodes.) + +MG = G; +n = length(G); +eliminated = zeros(1,n); +cliques = {}; +for i=1:n + u = order(i); + U = find(~eliminated); % uneliminated + nodes = myintersect(neighbors(G,u), U); % look up neighbors in the partially filled-in graph + nodes = myunion(nodes, u); % the clique will always contain at least u + G(nodes,nodes) = 1; % make them all connected to each other + G = setdiag(G,0); + eliminated(u) = 1; + + exclude = 0; + for c=1:length(cliques) + if mysubset(nodes,cliques{c}) % not maximal + exclude = 1; + break; + end + end + if ~exclude + cnum = length(cliques)+1; + cliques{cnum} = nodes; + end +end + +fill_ins = sparse(triu(max(0, G - MG), 1)); + +%assert(check_triangulated(G)); % takes 72% of the time! + + diff --git a/sourcecodes/bnt-master/graph/triangulate_2Dlattice_demo.m b/sourcecodes/bnt-master/graph/triangulate_2Dlattice_demo.m new file mode 100644 index 00000000..12ad1312 --- /dev/null +++ b/sourcecodes/bnt-master/graph/triangulate_2Dlattice_demo.m @@ -0,0 +1,131 @@ +% Consider a 3x3 lattice with 4-nearest neighbor connectivity + +% 1 - 2 - 3 +% | | | +% 4 - 5 - 6 +% | | | +% 7 - 8 - 9 + +N = 3; +G = mk_2D_lattice(N,N,4); +G0 = G; + +% Now add in the diagonal edges + +if 0 +% 1 - 2 - 3 +% | x | x | +% 4 - 5 - 6 +% | x | x | +% 7 - 8 - 9 + +G(1,5)=1; G(5,1)=1; +G(2,6)=1; G(6,2)=1; +G(4,2)=1; G(2,4)=1; +G(5,3)=1; G(3,5)=1; + +G(4,8)=1; G(8,4)=1; +G(5,9)=1; G(9,5)=1; +G(7,5)=1; G(5,7)=1; +G(8,6)=1; G(6,8)=1; +end + +% 1 - 2 - 3 +% | / | \ | +% 4 - 5 - 6 +% | \ | / | +% 7 - 8 - 9 + +G(2,6)=1; G(6,2)=1; +G(4,2)=1; G(2,4)=1; +G(4,8)=1; G(8,4)=1; +G(8,6)=1; G(6,8)=1; + +% Is this a chordal (triangulated) graph? No! + +assert(~check_triangulated(G)) + +% The reason is that there is a chordless cycle around the outside nodes. +% To see this, imagine "picking up" node 5, leaving the rest on the plane +% (like a hoop skirt, or a tent), as shown below + +% 1 - 2 - 3 +% | / \ | +% 4 6 +% | \ / | +% 7 - 8 - 9 + + +% However, if we add in the 4-6 arc, it will be chordal. + +G2 = G; +G2(4,6)=1; G2(6,4)=1; +assert(check_triangulated(G2)) + +% Or we can add in the 2-8 arc +G2 = G; +G2(2,8)=1; G2(8,2)=1; +assert(check_triangulated(G2)) + + +if 0 +% 4x4 lattice with cross arcs +N=4;G0 = mk_2D_lattice(N,N,4); +vs = [1 6; 2 5; 2 7; 3 6; 3 8; 4 7; ... + 5 10; 6 9; 6 11; 7 10; 7 12; 8 11;... + 9 14; 10 13; 10 15; 11 14; 11 16; 12 15]; +for i=1:size(vs,1) + u = vs(i,1); v= vs(i,2); + G0(u,v) = 1; G0(v,u) = 1; +end +end + +% Here is how we can discover which edges to fill in automatically +% (although possibly sub-optimally) +weights = 2*ones(1,N*N); % all nodes are binar + +% fill-ins = 2-4, 2-6, 4-8, 6-8 and 4-6 +% cliques = 124, etc and 2456 4568 +greedy_order = best_first_elim_order(G0, weights); +[GT, cliques, fill_ins] = triangulate(G0, greedy_order) +assert(check_triangulated(GT)) + + + +greedy_order = best_first_elim_order(G, weights); +[GT, cliques, fill_ins] = triangulate(G, greedy_order) +assert(check_triangulated(GT)) + +% fill-ins = [4 6] + +% Cliques are the overlapping squares [1,2,4,5], [2 3 5 6], [4 5 7 8], [5 6 8 9] +% and the following caused by the fill-in: [2 4 5 6], [4 5 6 8] + +% Connect the maximal cliques of the triangulate graph into a junction tree +[jtree, root, B, clq_weights] = cliques_to_jtree(cliques, weights); + +% In this case, all cliques have weight 2^4 = 16 + + +% Now consider size of max clique as a function of grid size +% Note: this is not necessarily the optimal triangulation + +% N 5 10 15 16 17 18 +% m 6 15 23 25 28 28 +Ns = [5 10 15 16 17 18]; +for i=1:length(Ns) + N = Ns(i) + G = mk_2D_lattice(N,N,4); + weights = 2*ones(1,N*N); % all nodes are binary + greedy_order = best_first_elim_order(G, weights); % slow! + [GT, cliques, fill_ins] = triangulate(G, greedy_order); + %assert(check_triangulated(GT)) + [jtree, root, B, clq_weights] = cliques_to_jtree(cliques, weights); + m(i) = log2(max(clq_weights)); +end + +% plot distribution of clique sizes for fixed N +for c=1:length(cliques) + l(c) = length(cliques{c}); +end +hist(l) diff --git a/sourcecodes/bnt-master/graph/triangulate_test.m b/sourcecodes/bnt-master/graph/triangulate_test.m new file mode 100644 index 00000000..70083d1c --- /dev/null +++ b/sourcecodes/bnt-master/graph/triangulate_test.m @@ -0,0 +1,36 @@ +% Test the code using the dag in Fig 1 of Jensen, Jensen, Dittmer, +% "From influence diagrams to junction trees", UAI 94 + +% By reverse enginering Fig 2, we infer that the following arcs should +% be absent from the original dag: b->d1, e->d2, f->d2, g->d4 +a=1; b=2; d1=3; c=4; d=5; e=6; f=7; g=8; d2=9; d4=10; i=11; h=12; d3=13; l=14; j=15; k=16; +dag=zeros(16); +dag(a,c)=1; +%dag(b,[c d d1])=1; +dag(b,[c d])=1; +dag(d1,d)=1; +dag(c,e)=1; +dag(d,[e f])=1; +%dag(e,[g d2])=1; +dag(e,[g])=1; +%dag(f,[d2 h])=1; +dag(f,[h])=1; +%dag(g,[d4 i])=1; +dag(g,[i])=1; +dag(d2,i)=1; +dag(d4,l)=1; +dag(i,l)=1; +dag(h,[j k])=1; +dag(d3,k)=1; + + +[MG, moral_edges] = moralize(dag); +MG(j,k)=1; MG(k,j)=1; % simulate having a common utility child +% MG now equals fig 2 +order = [l j k i h a c d d4 g d3 d2 f e d1 b]; +[MTG, cliques, fill_ins] = triangulate(MG, order); +% MTG equals fig 3 +ns = 2*ones(1,16); +[jtree, root, cliques2] = mk_strong_jtree(cliques, ns, order, MTG); +jtree2 = mk_rooted_tree(jtree, root); +% jtree2 equals fig 4, with their arrows reversed diff --git a/sourcecodes/bnt-master/nethelp3.3/CVS/Entries b/sourcecodes/bnt-master/nethelp3.3/CVS/Entries new file mode 100644 index 00000000..f617382b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/CVS/Entries @@ -0,0 +1,174 @@ +/conffig.htm/1.1.1.1/Wed Apr 27 17:58:54 2005// 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27 17:59:04 2005// +/rbfunpak.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/rosegrad.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/rosen.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/scg.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/som.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/somfwd.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/sompak.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/somtrain.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +/somunpak.htm/1.1.1.1/Wed Apr 27 17:59:04 2005// +D diff --git a/sourcecodes/bnt-master/nethelp3.3/CVS/Repository b/sourcecodes/bnt-master/nethelp3.3/CVS/Repository new file mode 100644 index 00000000..d6658c37 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/CVS/Repository @@ -0,0 +1 @@ +FullBNT/nethelp3.3 diff --git a/sourcecodes/bnt-master/nethelp3.3/CVS/Root b/sourcecodes/bnt-master/nethelp3.3/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/nethelp3.3/conffig.htm b/sourcecodes/bnt-master/nethelp3.3/conffig.htm new file mode 100644 index 00000000..52aca7b9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/conffig.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual conffig + + + +

conffig +

+

+Purpose +

+Display a confusion matrix. + +

+Synopsis +

+
+conffig(y, t)
+fh = conffig(y, t)
+ + +

+Description +

+conffig(y, t) displays the confusion matrix +and classification performance for the predictions mat{y} +compared with the targets t. The data is assumed to be in a +1-of-N encoding, unless there is just one column, when it is assumed to +be a 2 class problem with a 0-1 encoding. Each row of y and t +corresponds to a single example. + +

In the confusion matrix, the rows represent the true classes and the +columns the predicted classes. + +

fh = conffig(y, t) also returns the figure handle fh which +can be used, for instance, to delete the figure when it is no longer needed. + +

+See Also +

+
confmat, demtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/confmat.htm b/sourcecodes/bnt-master/nethelp3.3/confmat.htm new file mode 100644 index 00000000..2162293d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/confmat.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual confmat + + + +

confmat +

+

+Purpose +

+Compute a confusion matrix. + +

+Synopsis +

+
+[C, rate] = confmat(y, t)
+ + +

+Description +

+[C, rate] = confmat(y, t) computes the confusion matrix C +and classification performance rate for the predictions mat{y} +compared with the targets t. The data is assumed to be in a +1-of-N encoding, unless there is just one column, when it is assumed to +be a 2 class problem with a 0-1 encoding. Each row of y and t +corresponds to a single example. + +

In the confusion matrix, the rows represent the true classes and the +columns the predicted classes. The vector rate has two entries: +the percentage of correct classifications and the total number of +correct classifications. + +

+See Also +

+conffig, demtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/conjgrad.htm b/sourcecodes/bnt-master/nethelp3.3/conjgrad.htm new file mode 100644 index 00000000..4a70c330 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/conjgrad.htm @@ -0,0 +1,101 @@ + + + +Netlab Reference Manual conjgrad + + + +

conjgrad +

+

+Purpose +

+Conjugate gradients optimization. + +

+Description +

+[x, options, flog, pointlog] = conjgrad(f, x, options, gradf) uses a +conjugate gradients +algorithm to find the minimum of the function f(x) whose +gradient is given by gradf(x). Here x is a row vector +and f returns a scalar value. +The point at which f has a local minimum +is returned as x. The function value at that point is returned +in options(8). A log of the function values +after each cycle is (optionally) returned in flog, and a log +of the points visited is (optionally) returned in pointlog. + +

conjgrad(f, x, options, gradf, p1, p2, ...) allows +additional arguments to be passed to f() and gradf(). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog, and the points visited +in the return argument pointslog. If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is a measure of the absolute precision required for the value +of x at the solution. If the absolute difference between +the values of x between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is a measure of the precision required of the objective +function at the solution. If the absolute difference between the +objective function values between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. + +

options(9) is set to 1 to check the user defined gradient function. + +

options(10) returns the total number of function evaluations (including +those in any line searches). + +

options(11) returns the total number of gradient evaluations. + +

options(14) is the maximum number of iterations; default 100. + +

options(15) is the precision in parameter space of the line search; +default 1e-4. + +

+Examples +

+An example of +the use of the additional arguments is the minimization of an error +function for a neural network: +
+
+w = quasinew('neterr', w, options, 'netgrad', net, x, t);
+
+ + +

+Algorithm +

+ +The conjugate gradients algorithm constructs search +directions di that are conjugate: i.e. di*H*d(i-1) = 0, +where H is the Hessian matrix. This means that minimising along +di does not undo the effect of minimising along the previous +direction. The Polak-Ribiere formula is used to calculate new search +directions. The Hessian is not calculated, so there is only an +O(W) storage requirement (where W is the number of +parameters). However, relatively accurate line searches must be used +(default is 1e-04). + +

+See Also +

+graddesc, linemin, minbrack, quasinew, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/consist.htm b/sourcecodes/bnt-master/nethelp3.3/consist.htm new file mode 100644 index 00000000..40bc374c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/consist.htm @@ -0,0 +1,78 @@ + + + +Netlab Reference Manual consist + + + +

consist +

+

+Purpose +

+Check that arguments are consistent. + +

+Synopsis +

+
+errstring = consist(net, type, inputs, outputs)
+errstring = consist(net, type, inputs)
+errstring = consist(net, type)
+
+ + +

+Description +

+ +

errstring = consist(net, type, inputs) takes a network +data structure net together with a string type containing +the correct network type, a matrix inputs of input vectors and checks +that the data structure is consistent with the other arguments. An empty +string is returned if there is no error, otherwise the string contains the +relevant error message. If the type string is empty, then any +type of network is allowed. + +

errstring = consist(net, type) takes a network data structure +net together with a string type containing the correct +network type, and checks that the two types match. + +

errstring = consist(net, type, inputs, outputs) also checks that the +network has the correct number of outputs, and that the number of patterns +in the inputs and outputs is the same. The fields in net +that are used are +

+  type
+  nin
+  nout
+
+ + +

+Example +

+ +

mlpfwd, the function that propagates values forward through an MLP +network, has the following check at the head of the file: +

+
+errstring = consist(net, 'mlp', x, t);
+if ~isempty(errstring)
+  error(errstring)
+end
+
+ + +

+See Also +

+mlpfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/convertoldnet.htm b/sourcecodes/bnt-master/nethelp3.3/convertoldnet.htm new file mode 100644 index 00000000..c3266367 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/convertoldnet.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual convertoldnet + + + +

convertoldnet +

+

+Purpose +

+Convert pre-2.3 release MLP and MDN nets to new format + +

+Synopsis +

+
+net = convertoldnet(net)
+
+ + +

+Description +

+net = convertoldnet(net) takes a network net and, if appropriate, +converts it from pre-2.3 to the current format. The difference is simply +that in MLPs and the MLP sub-net of MDNs the field actfn has been +renamed outfn to make it consistent with GLM and RBF networks. +If the network is not old-format or an MLP or MDN it is left unchanged. + +

+See Also +

+mlp, mdn
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/datread.htm b/sourcecodes/bnt-master/nethelp3.3/datread.htm new file mode 100644 index 00000000..78f087eb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/datread.htm @@ -0,0 +1,57 @@ + + + +Netlab Reference Manual datread + + + +

datread +

+

+Purpose +

+Read data from an ascii file. + +

+Synopsis +

+
+[x, t, nin, nout, ndata] = datread(filename)
+
+ + +

+Description +

+ +

[x, t, nin, nout, ndata] = datread(filename) reads from +the file filename and returns a matrix x of input vectors, +a matrix t of target vectors, and integers nin, nout +and ndata specifying the number of inputs, the number of outputs +and the number of data points respectively. + +

The format of the data file is as follows: the first row contains the +string nin followed by the number of inputs, the second row +contains the string nout followed by the number of outputs, and +the third row contains the string ndata followed by the number +of data vectors. Subsequent lines each contain one input vector +followed by one output vector, with individual values separated by +spaces. + +

+Example +

+For the XOR data set we have + +

+See Also +

+nin2nout1ndata40.000000e+000.000000e+001.000000e+000.000000e+001.000000e+000.000000e+001.000000e+000.000000e+000.000000e+001.000000e+001.000000e+001.000000e+00SeeAlsodatwrite
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/datwrite.htm b/sourcecodes/bnt-master/nethelp3.3/datwrite.htm new file mode 100644 index 00000000..1006b911 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/datwrite.htm @@ -0,0 +1,65 @@ + + + +Netlab Reference Manual datwrite + + + +

datwrite +

+

+Purpose +

+Write data to ascii file. + +

+Synopsis +

+
+datwrite(filename, x, t)
+
+ + +

+Description +

+ +

datwrite(filename, x, t) takes a matrix x of input vectors +and a matrix t of target vectors and writes them to an ascii +file named filename. The file format is as follows: the first +row contains the string nin followed by the number of inputs, +the second row contains the string nout followed by the number +of outputs, and the third row contains the string ndata followed +by the number of data vectors. Subsequent lines each contain one input +vector followed by one output vector, with individual values separated +by spaces. + +

+Example +

+For the XOR data set we have + +

+
+ 	nin   2
+ 	nout  1
+ 	ndata 4
+ 	0.000000e+00  0.000000e+00  1.000000e+00 
+ 	0.000000e+00  1.000000e+00  0.000000e+00 
+ 	1.000000e+00  0.000000e+00  0.000000e+00 
+ 	1.000000e+00  1.000000e+00  1.000000e+00 
+
+ + +

+See Also +

+datread
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/dem2ddat.htm b/sourcecodes/bnt-master/nethelp3.3/dem2ddat.htm new file mode 100644 index 00000000..5dd49ba5 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/dem2ddat.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual dem2ddat + + + +

dem2ddat +

+

+Purpose +

+Generates two dimensional data for demos. + +

+Synopsis +

+
+data = dem2ddat(ndata)
+ +
+[data, c] = dem2ddat(ndata)
+ + +

+Description +

+The data is +drawn from three spherical Gaussian distributions with priors 0.3, +0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and standard deviations +0.2, 0.5 and 1.0. data = dem2ddat(ndata) generates ndata +points. + +

[data, c] = dem2ddat(ndata) also returns a matrix containing the +centres of the Gaussian distributions. + +

+See Also +

+demgmm1, demkmean, demknn1
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demard.htm b/sourcecodes/bnt-master/nethelp3.3/demard.htm new file mode 100644 index 00000000..43923377 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demard.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual demard + + + +

demard +

+

+Purpose +

+Automatic relevance determination using the MLP. + +

+Synopsis +

+
+demmlp1
+ + +

+Description +

+This script demonstrates the technique of automatic relevance +determination (ARD) using a synthetic problem having three input +variables: x1 is sampled uniformly from the range (0,1) and has +a low level of added Gaussian noise, x2 is a copy of x1 +with a higher level of added noise, and x3 is sampled randomly +from a Gaussian distribution. The single target variable is determined +by sin(2*pi*x1) with additive Gaussian noise. Thus x1 is +very relevant for determining the target value, x2 is of some +relevance, while x3 is irrelevant. The prior over weights is +given by the ARD Gaussian prior with a separate hyper-parameter for +the group of weights associated with each input. A multi-layer +perceptron is trained on this data, with re-estimation of the +hyper-parameters using evidence. The final values for the +hyper-parameters reflect the relative importance of the three inputs. + +

+See Also +

+demmlp1, demev1, mlp, evidence
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demev1.htm b/sourcecodes/bnt-master/nethelp3.3/demev1.htm new file mode 100644 index 00000000..f7b05fbb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demev1.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual demev1 + + + +

demev1 +

+

+Purpose +

+Demonstrate Bayesian regression for the MLP. + +

+Synopsis +

+
+demev1
+ + +

+Description +

+The problem consists an input variable x which sampled from a +Gaussian distribution, and a target variable t generated by +computing sin(2*pi*x) and adding Gaussian noise. A 2-layer +network with linear outputs is trained by minimizing a sum-of-squares +error function with isotropic Gaussian regularizer, using the scaled +conjugate gradient optimizer. The hyperparameters alpha and +beta are re-estimated using the function evidence. A graph +is plotted of the original function, the training data, the trained +network function, and the error bars. + +

+See Also +

+evidence, mlp, scg, demard, demmlp1
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demev2.htm b/sourcecodes/bnt-master/nethelp3.3/demev2.htm new file mode 100644 index 00000000..c1db9e65 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demev2.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual demev2 + + + +

demev2 +

+

+Purpose +

+Demonstrate Bayesian classification for the MLP. + +

+Synopsis +

+
+demev2
+ + +

+Description +

+A synthetic two class two-dimensional dataset x is sampled +from a mixture of four Gaussians. Each class is +associated with two of the Gaussians so that the optimal decision +boundary is non-linear. +A 2-layer +network with logistic outputs is trained by minimizing the cross-entropy +error function with isotroipc Gaussian regularizer (one hyperparameter for +each of the four standard weight groups), using the scaled +conjugate gradient optimizer. The hyperparameter vectors alpha and +beta are re-estimated using the function evidence. A graph +is plotted of the optimal, regularised, and unregularised decision +boundaries. A further plot of the moderated versus unmoderated contours +is generated. + +

+See Also +

+evidence, mlp, scg, demard, demmlp2
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demev3.htm b/sourcecodes/bnt-master/nethelp3.3/demev3.htm new file mode 100644 index 00000000..55af4d64 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demev3.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual demev3 + + + +

demev3 +

+

+Purpose +

+Demonstrate Bayesian regression for the RBF. + +

+Synopsis +

+
+demev3
+ + +

+Description +

+The problem consists an input variable x which sampled from a +Gaussian distribution, and a target variable t generated by +computing sin(2*pi*x) and adding Gaussian noise. An RBF +network with linear outputs is trained by minimizing a sum-of-squares +error function with isotropic Gaussian regularizer, using the scaled +conjugate gradient optimizer. The hyperparameters alpha and +beta are re-estimated using the function evidence. A graph +is plotted of the original function, the training data, the trained +network function, and the error bars. + +

+See Also +

+demev1, evidence, rbf, scg, netevfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgauss.htm b/sourcecodes/bnt-master/nethelp3.3/demgauss.htm new file mode 100644 index 00000000..4ddc8059 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgauss.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual demgauss + + + +

demgauss +

+

+Purpose +

+Demonstrate sampling from Gaussian distributions. + +

+Synopsis +

+
+demgauss
+
+ + +

+Description +

+ +

demgauss provides a simple illustration of the generation of +data from Gaussian distributions. It first samples from a +one-dimensional distribution using randn, and then plots a +normalized histogram estimate of the distribution using histp +together with the true density calculated using gauss. + +

demgauss then demonstrates sampling from a Gaussian distribution +in two dimensions. It creates a mean vector and a covariance matrix, +and then plots contours of constant density using the function +gauss. A sample of points drawn from this distribution, obtained +using the function gsamp, is then superimposed on the contours. + +

+See Also +

+gauss, gsamp, histp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demglm1.htm b/sourcecodes/bnt-master/nethelp3.3/demglm1.htm new file mode 100644 index 00000000..7740b361 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demglm1.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demglm1 + + + +

demglm1 +

+

+Purpose +

+Demonstrate simple classification using a generalized linear model. + +

+Synopsis +

+
+demglm1
+ + +

+Description +

+ +The problem consists of a two dimensional input +matrix data and a vector of classifications t. The data is +generated from two Gaussian clusters, and a generalized linear model +with logistic output is trained using iterative reweighted least squares. +A plot of the data together with the 0.1, 0.5 and 0.9 contour lines +of the conditional probability is generated. + +

+See Also +

+demglm2, glm, glmtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demglm2.htm b/sourcecodes/bnt-master/nethelp3.3/demglm2.htm new file mode 100644 index 00000000..274d5b61 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demglm2.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demglm2 + + + +

demglm2 +

+

+Purpose +

+Demonstrate simple classification using a generalized linear model. + +

+Synopsis +

+
+demglm1
+ + +

+Description +

+ +The problem consists of a two dimensional input +matrix data and a vector of classifications t. The data is +generated from three Gaussian clusters, and a generalized linear model +with softmax output is trained using iterative reweighted least squares. +A plot of the data together with regions shaded by the classification +given by the network is generated. + +

+See Also +

+demglm1, glm, glmtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgmm1.htm b/sourcecodes/bnt-master/nethelp3.3/demgmm1.htm new file mode 100644 index 00000000..7476becb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgmm1.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual demgmm1 + + + +

demgmm1 +

+

+Purpose +

+Demonstrate EM for Gaussian mixtures. + +

+Synopsis +

+
+demgmm1
+ + +

+Description +

+This script demonstrates the use of the EM algorithm to fit a mixture +of Gaussians to a set of data using maximum likelihood. A colour +coding scheme is used to illustrate the evaluation of the posterior +probabilities in the E-step of the EM algorithm. + +

+See Also +

+demgmm2, demgmm3, demgmm4, gmm, gmmem, gmmpost
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgmm2.htm b/sourcecodes/bnt-master/nethelp3.3/demgmm2.htm new file mode 100644 index 00000000..f8a3f61d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgmm2.htm @@ -0,0 +1,52 @@ + + + +Netlab Reference Manual demgmm1 + + + +

demgmm1 +

+

+Purpose +

+Demonstrate density modelling with a Gaussian mixture model. + +

+Synopsis +

+
+demgmm1
+ + +

+Description +

+The problem consists of modelling data generated by a mixture of three +Gaussians in 2 dimensions. The priors are 0.3, +0.5 and 0.2; the centres are (2, 3.5), (0, 0) and (0,2); the variances +are 0.2, 0.5 and 1.0. The first figure contains a + scatter plot of the data. + +

A Gaussian mixture model with three components is trained using EM. The +parameter vector is printed before training and after training. The user +should press any key to continue at these points. The parameter vector +consists of priors (the column), centres (given as (x, y) pairs as +the next two columns), and variances (the last column). + +

The second figure is a 3 dimensional view of the density function, while +the third shows the 1-standard deviation circles for the three components of +the mixture model. + +

+See Also +

+gmm, gmminit, gmmem, gmmprob, gmmunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgmm3.htm b/sourcecodes/bnt-master/nethelp3.3/demgmm3.htm new file mode 100644 index 00000000..bbd7465c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgmm3.htm @@ -0,0 +1,55 @@ + + + +Netlab Reference Manual demgmm3 + + + +

demgmm3 +

+

+Purpose +

+Demonstrate density modelling with a Gaussian mixture model. + +

+Synopsis +

+
+demgmm3
+ + +

+Description +

+ +The problem consists of modelling data generated +by a mixture of three Gaussians in 2 dimensions with a mixture model +using diagonal covariance matrices. The priors are 0.3, 0.5 and 0.2; the +centres are (2, 3.5), (0, 0) and (0,2); the covariances are all axis aligned +(0.16, 0.64), (0.25, 1) and the identity +matrix. The first figure contains a scatter plot of the data. + +

A Gaussian mixture model with three components is trained using EM. The +parameter vector is printed before training and after training. The user +should press any key to continue at these points. The parameter vector +consists of priors (the column), and centres (given as (x, y) pairs as +the next two columns). The diagonal entries of the +covariance matrices are printed separately. + +

The second figure is a 3 dimensional view of the density function, +while the third shows the axes of the 1-standard deviation circles +for the three components of the mixture model. + +

+See Also +

+gmm, gmminit, gmmem, gmmprob, gmmunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgmm4.htm b/sourcecodes/bnt-master/nethelp3.3/demgmm4.htm new file mode 100644 index 00000000..95f4bc87 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgmm4.htm @@ -0,0 +1,54 @@ + + + +Netlab Reference Manual demgmm4 + + + +

demgmm4 +

+

+Purpose +

+Demonstrate density modelling with a Gaussian mixture model. + +

+Synopsis +

+
+demgmm4
+ + +

+Description +

+ +The problem consists of modelling data generated +by a mixture of three Gaussians in 2 dimensions with a mixture model +using full covariance matrices. The priors are 0.3, 0.5 and 0.2; the +centres are (2, 3.5), (0, 0) and (0,2); the variances are (0.16, 0.64) +axis aligned, (0.25, 1) rotated by 30 degrees and the identity +matrix. The first figure contains a scatter plot of the data. + +

A Gaussian mixture model with three components is trained using EM. The +parameter vector is printed before training and after training. The user +should press any key to continue at these points. The parameter vector +consists of priors (the column), and centres (given as (x, y) pairs as +the next two columns). The covariance matrices are printed separately. + +

The second figure is a 3 dimensional view of the density function, +while the third shows the axes of the 1-standard deviation ellipses +for the three components of the mixture model. + +

+See Also +

+gmm, gmminit, gmmem, gmmprob, gmmunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgmm5.htm b/sourcecodes/bnt-master/nethelp3.3/demgmm5.htm new file mode 100644 index 00000000..ed3caf1e --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgmm5.htm @@ -0,0 +1,55 @@ + + + +Netlab Reference Manual demgmm5 + + + +

demgmm5 +

+

+Purpose +

+Demonstrate density modelling with a PPCA mixture model. + +

+Synopsis +

+
+demgmm5
+ + +

+Description +

+ +The problem consists of modelling data generated +by a mixture of three Gaussians in 2 dimensions with a mixture model +using full covariance matrices. The priors are 0.3, 0.5 and 0.2; the +centres are (2, 3.5), (0, 0) and (0,2); the variances are (0.16, 0.64) +axis aligned, (0.25, 1) rotated by 30 degrees and the identity +matrix. The first figure contains a scatter plot of the data. + +

A mixture model with three one-dimensional PPCA components is trained +using EM. The parameter vector is printed before training and after +training. The parameter vector consists of priors (the column), and +centres (given as (x, y) pairs as the next two columns). + +

The second figure is a 3 dimensional view of the density function, +while the third shows the axes of the 1-standard deviation ellipses +for the three components of the mixture model together with the one +standard deviation along the principal component of each mixture +model component. + +

+See Also +

+gmm, gmminit, gmmem, gmmprob, ppca
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgp.htm b/sourcecodes/bnt-master/nethelp3.3/demgp.htm new file mode 100644 index 00000000..9103bfb8 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgp.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demgp + + + +

demgp +

+

+Purpose +

+Demonstrate simple regression using a Gaussian Process. + +

+Synopsis +

+
+demgp
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t. The values in x are chosen in two separated clusters and the +target data is generated by computing sin(2*pi*x) and adding Gaussian +noise. Two Gaussian Processes, each with different covariance functions +are trained by optimising the hyperparameters +using the scaled conjugate gradient algorithm. The final predictions are +plotted together with 2 standard deviation error bars. + +

+See Also +

+gp, gperr, gpfwd, gpgrad, gpinit, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgpard.htm b/sourcecodes/bnt-master/nethelp3.3/demgpard.htm new file mode 100644 index 00000000..eb188c19 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgpard.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual demgpard + + + +

demgpard +

+

+Purpose +

+Demonstrate ARD using a Gaussian Process. + +

+Synopsis +

+
+demgpare
+ + +

+Description +

+The data consists of three input variables x1, x2 and +x3, and one target variable +t. The +target data is generated by computing sin(2*pi*x1) and adding Gaussian +noise, x2 is a copy of x1 with a higher level of added +noise, and x3 is sampled randomly from a Gaussian distribution. +A Gaussian Process, is +trained by optimising the hyperparameters +using the scaled conjugate gradient algorithm. The final values of the +hyperparameters show that the model successfully identifies the importance +of each input. + +

+See Also +

+demgp, gp, gperr, gpfwd, gpgrad, gpinit, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgpot.htm b/sourcecodes/bnt-master/nethelp3.3/demgpot.htm new file mode 100644 index 00000000..368f222e --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgpot.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demgpot + + + +

demgpot +

+

+Purpose +

+Computes the gradient of the negative log likelihood for a mixture model. + +

+Synopsis +

+
+g = demgpot(x, mix)
+ + +

+Description +

+This function computes the gradient of the negative log of the unconditional data +density p(x) with respect to the coefficients of the +data vector x for a Gaussian mixture model. The data structure +mix defines the mixture model, while the matrix x contains +the data vector as a row vector. Note the unusual order of the arguments: +this is so that the function can be used in demhmc1 directly for +sampling from the distribution p(x). + +

+See Also +

+demhmc1, demmet1, dempot
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgtm1.htm b/sourcecodes/bnt-master/nethelp3.3/demgtm1.htm new file mode 100644 index 00000000..1422c764 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgtm1.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual demgtm1 + + + +

demgtm1 +

+

+Purpose +

+Demonstrate EM for GTM. + +

+Synopsis +

+
+demgtm1
+ + +

+Description +

+ +This script demonstrates the use of the EM +algorithm to fit a one-dimensional GTM to a two-dimensional set of data +using maximum likelihood. The location and spread of the Gaussian kernels +in the data space is shown during training. + +

+See Also +

+demgtm2, gtm, gtmem, gtmpost
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demgtm2.htm b/sourcecodes/bnt-master/nethelp3.3/demgtm2.htm new file mode 100644 index 00000000..4696b152 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demgtm2.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual demgtm2 + + + +

demgtm2 +

+

+Purpose +

+Demonstrate GTM for visualisation. + +

+Synopsis +

+
+demgtm2
+ + +

+Description +

+ +This script demonstrates the use of a +GTM with a two-dimensional latent space to visualise data in a higher +dimensional space. +This is done through the use of the mean responsibility and magnification +factors. + +

+See Also +

+demgtm1, gtm, gtmem, gtmpost
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demhint.htm b/sourcecodes/bnt-master/nethelp3.3/demhint.htm new file mode 100644 index 00000000..ac54f77a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demhint.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual demhint + + + +

demhint +

+

+Purpose +

+Demonstration of Hinton diagram for 2-layer feed-forward network. + +

+Synopsis +

+
+demhint
+demhint(nin, nhidden, nout)
+ + +

+Description +

+ +

demhint plots a Hinton diagram for a 2-layer feedforward network +with 5 inputs, 4 hidden units and 3 outputs. The weight vector is +chosen from a Gaussian distribution as described under mlp. + +

demhint(nin, nhidden, nout) allows the user to specify the +number of inputs, hidden units and outputs. + +

+See Also +

+hinton, hintmat, mlp, mlppak, mlpunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demhmc1.htm b/sourcecodes/bnt-master/nethelp3.3/demhmc1.htm new file mode 100644 index 00000000..4ad8b73b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demhmc1.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual demhmc1 + + + +

demhmc1 +

+

+Purpose +

+Demonstrate Hybrid Monte Carlo sampling on mixture of two Gaussians. + +

+Synopsis +

+
+demhmc1
+ + +

+Description +

+The problem consists of generating data from a mixture of two Gaussians +in two dimensions using a hybrid Monte Carlo algorithm with persistence. +A mixture model is then fitted to the sample to compare it with the +true underlying generator. + +

+See Also +

+demhmc3, hmc, dempot, demgpot
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demhmc2.htm b/sourcecodes/bnt-master/nethelp3.3/demhmc2.htm new file mode 100644 index 00000000..b5657cbe --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demhmc2.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual demhmc2 + + + +

demhmc2 +

+

+Purpose +

+Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. + +

+Synopsis +

+
+demhmc2
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t with data generated by sampling x at equal intervals and then +generating target data by computing sin(2*pi*x) and adding Gaussian +noise. The model is a 2-layer network with linear outputs, and the hybrid Monte +Carlo algorithm (without persistence) is used to sample from the posterior +distribution of the weights. The graph shows the underlying function, +100 samples from the function given by the posterior distribution of the +weights, and the average prediction (weighted by the posterior probabilities). + +

+See Also +

+demhmc3, hmc, mlp, mlperr, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demhmc3.htm b/sourcecodes/bnt-master/nethelp3.3/demhmc3.htm new file mode 100644 index 00000000..9ccc16c9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demhmc3.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual demhmc3 + + + +

demhmc3 +

+

+Purpose +

+Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. + +

+Synopsis +

+
+demhmc3
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t with data generated by sampling x at equal intervals and then +generating target data by computing sin(2*pi*x) and adding Gaussian +noise. The model is a 2-layer network with linear outputs, and the hybrid Monte +Carlo algorithm (with persistence) is used to sample from the posterior +distribution of the weights. The graph shows the underlying function, +300 samples from the function given by the posterior distribution of the +weights, and the average prediction (weighted by the posterior probabilities). + +

+See Also +

+demhmc2, hmc, mlp, mlperr, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demkmn1.htm b/sourcecodes/bnt-master/nethelp3.3/demkmn1.htm new file mode 100644 index 00000000..f22787df --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demkmn1.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual demkmean + + + +

demkmean +

+

+Purpose +

+Demonstrate simple clustering model trained with K-means. + +

+Synopsis +

+
+demkmean
+ + +

+Description +

+The problem consists of data in a two-dimensional space. +The data is +drawn from three spherical Gaussian distributions with priors 0.3, +0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and standard deviations +0.2, 0.5 and 1.0. The first figure contains a +scatter plot of the data. The data is the same as in demgmm1. + +

A cluster model with three components is trained using the batch +K-means algorithm. The matrix of centres is printed after training. +The second +figure shows the data labelled with a colour derived from the corresponding +cluster + +

+See Also +

+dem2ddat, demgmm1, knn1, kmeans
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demknn1.htm b/sourcecodes/bnt-master/nethelp3.3/demknn1.htm new file mode 100644 index 00000000..6c0d4031 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demknn1.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual demknn1 + + + +

demknn1 +

+

+Purpose +

+Demonstrate nearest neighbour classifier. + +

+Synopsis +

+
+demknn1
+ + +

+Description +

+The problem consists of data in a two-dimensional space. +The data is +drawn from three spherical Gaussian distributions with priors 0.3, +0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and standard deviations +0.2, 0.5 and 1.0. The first figure contains a +scatter plot of the data. The data is the same as in demgmm1. + +

The second +figure shows the data labelled with the corresponding class given +by the classifier. + +

+See Also +

+dem2ddat, demgmm1, knn
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demmdn1.htm b/sourcecodes/bnt-master/nethelp3.3/demmdn1.htm new file mode 100644 index 00000000..7401d220 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demmdn1.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual demmdn1 + + + +

demmdn1 +

+

+Purpose +

+Demonstrate fitting a multi-valued function using a Mixture Density Network. + +

+Synopsis +

+
+demmdn1
+ + +

+Description +

+The problem consists of one input variable +x and one target variable t with data generated by +sampling t at equal intervals and then generating target data by +computing t + 0.3*sin(2*pi*t) and adding Gaussian noise. A +Mixture Density Network with 3 centres in the mixture model is trained +by minimizing a negative log likelihood error function using the scaled +conjugate gradient optimizer. + +

The conditional means, mixing coefficients and variances are plotted +as a function of x, and a contour plot of the full conditional +density is also generated. + +

+See Also +

+mdn, mdnerr, mdngrad, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demmet1.htm b/sourcecodes/bnt-master/nethelp3.3/demmet1.htm new file mode 100644 index 00000000..ff5423df --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demmet1.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demmet1 + + + +

demmet1 +

+

+Purpose +

+Demonstrate Markov Chain Monte Carlo sampling on a Gaussian. + +

+Synopsis +

+
+demmet1
+demmet1(plotwait)
+ + +

+Description +

+The problem consists of generating data from a Gaussian +in two dimensions using a Markov Chain Monte Carlo algorithm. The points are +plotted one after another to show the path taken by the chain. + +

demmet1(plotwait) allows the user to set the time (in a whole number +of seconds) between the plotting of points. This is passed to pause + +

+See Also +

+demhmc1, metrop, gmm, dempot
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demmlp1.htm b/sourcecodes/bnt-master/nethelp3.3/demmlp1.htm new file mode 100644 index 00000000..3d9c2079 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demmlp1.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual demmlp1 + + + +

demmlp1 +

+

+Purpose +

+Demonstrate simple regression using a multi-layer perceptron + +

+Synopsis +

+
+demmlp1
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t with data generated by sampling x at equal intervals and then +generating target data by computing sin(2*pi*x) and adding Gaussian +noise. A 2-layer network with linear outputs is trained by minimizing a +sum-of-squares error function using the scaled conjugate gradient optimizer. + +

+See Also +

+mlp, mlperr, mlpgrad, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demmlp2.htm b/sourcecodes/bnt-master/nethelp3.3/demmlp2.htm new file mode 100644 index 00000000..ecb5e002 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demmlp2.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual demmlp2 + + + +

demmlp2 +

+

+Purpose +

+Demonstrate simple classification using a multi-layer perceptron + +

+Synopsis +

+
+demmlp2
+ + +

+Description +

+The problem consists of input data in two dimensions drawn from a mixture +of three Gaussians: two of which are assigned to a single class. An MLP +with logistic outputs trained with a quasi-Newton optimisation algorithm is +compared with the optimal Bayesian decision rule. + +

+See Also +

+mlp, mlpfwd, neterr, quasinew
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demnlab.htm b/sourcecodes/bnt-master/nethelp3.3/demnlab.htm new file mode 100644 index 00000000..1d46b12c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demnlab.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual demnlab + + + +

demnlab +

+

+Purpose +

+A front-end Graphical User Interface to the demos + +

+Synopsis +

+
+demnlab
+ + +

+Description +

+This function will start a user interface allowing the user to select +different demonstration functions to view. The demos are divided into 4 +groups, with the demo being executed by selecting the desired option +from a pop-up menu. + +

+See Also +

+
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demns1.htm b/sourcecodes/bnt-master/nethelp3.3/demns1.htm new file mode 100644 index 00000000..9a6bcae7 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demns1.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual demns1 + + + +

demns1 +

+

+Purpose +

+Demonstrate Neuroscale for visualisation. + +

+Synopsis +

+
+demns1
+ + +

+Description +

+This script demonstrates the use of the Neuroscale algorithm for +topographic projection and visualisation. A data sample is generated +from a mixture of two Gaussians in 4d space, and an RBF is trained +with the stress error function to project the data into 2d. The training +data and a test sample are both plotted in this projection. + +

+See Also +

+rbf, rbftrain, rbfprior
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demolgd1.htm b/sourcecodes/bnt-master/nethelp3.3/demolgd1.htm new file mode 100644 index 00000000..76c55303 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demolgd1.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual demolgd1 + + + +

demolgd1 +

+

+Purpose +

+Demonstrate simple MLP optimisation with on-line gradient descent + +

+Synopsis +

+
+demolgd1
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t with data generated by sampling x at equal intervals and then +generating target data by computing sin(2*pi*x) and adding Gaussian +noise. A 2-layer network with linear outputs is trained by minimizing a +sum-of-squares error function using on-line gradient descent. + +

+See Also +

+demmlp1, olgd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demopt1.htm b/sourcecodes/bnt-master/nethelp3.3/demopt1.htm new file mode 100644 index 00000000..b2511711 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demopt1.htm @@ -0,0 +1,52 @@ + + + +Netlab Reference Manual demopt1 + + + +

demopt1 +

+

+Purpose +

+Demonstrate different optimisers on Rosenbrock's function. + +

+Synopsis +

+
+demopt1
+demopt1(xinit)
+
+ + +

+Description +

+The four general optimisers (quasi-Newton, conjugate gradients, +scaled conjugate gradients, and gradient descent) are applied to +the minimisation of Rosenbrock's well known `banana' function. +Each optimiser is run for at most 100 cycles, and a stopping +criterion of 1.0e-4 is used for both position and function value. +At the end, the trajectory of each algorithm is shown on a contour +plot of the function. + +

demopt1(xinit) allows the user to specify a row vector with +two columns as the starting point. The default is the point [-1 1]. +Note that the contour plot has an x range of [-1.5, 1.5] and a y +range of [-0.5, 2.1], so it is best to choose a starting point in the +same region. + +

+See Also +

+conjgrad, graddesc, quasinew, scg, rosen, rosegrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/dempot.htm b/sourcecodes/bnt-master/nethelp3.3/dempot.htm new file mode 100644 index 00000000..10bc3907 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/dempot.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual dempot + + + +

dempot +

+

+Purpose +

+Computes the negative log likelihood for a mixture model. + +

+Synopsis +

+
+e = dempot(x, mix)
+ + +

+Description +

+This function computes the negative log of the unconditional data +density p(x) for a Gaussian mixture model. The data structure +mix defines the mixture model, while the matrix x contains +the data vectors. + +

+See Also +

+demgpot, demhmc1, demmet1
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demprgp.htm b/sourcecodes/bnt-master/nethelp3.3/demprgp.htm new file mode 100644 index 00000000..1d7abeca --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demprgp.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demprgp + + + +

demprgp +

+

+Purpose +

+Demonstrate sampling from a Gaussian Process prior. + +

+Synopsis +

+
+demprgp
+ + +

+Description +

+This function plots the functions represented by a Gaussian Process +model. The hyperparameter values can be adjusted +on a linear scale using the sliders (though the exponential +of the parameters is used in the covariance function), or +by typing values into the text boxes and pressing the return key. +Both types of covariance function are supported. An extra function +specific parameter is needed for the rational quadratic function. + +

+See Also +

+gp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demprior.htm b/sourcecodes/bnt-master/nethelp3.3/demprior.htm new file mode 100644 index 00000000..02f5a000 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demprior.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual demprior + + + +

demprior +

+

+Purpose +

+Demonstrate sampling from a multi-parameter Gaussian prior. + +

+Synopsis +

+
+demprior
+ + +

+Description +

+This function plots the functions represented by a multi-layer perceptron +network when the weights are set to values drawn from a Gaussian prior +distribution. The parameters aw1, ab1 aw2 and ab2 +control the inverse variances of the first-layer weights, the hidden unit +biases, the second-layer weights and the output unit biases respectively. +Their values can be adjusted on a logarithmic scale using the sliders, or +by typing values into the text boxes and pressing the return key. + +

+See Also +

+mlp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demrbf1.htm b/sourcecodes/bnt-master/nethelp3.3/demrbf1.htm new file mode 100644 index 00000000..6c36ed49 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demrbf1.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual demrbf1 + + + +

demrbf1 +

+

+Purpose +

+Demonstrate simple regression using a radial basis function network. + +

+Synopsis +

+
+demrbf1
+ + +

+Description +

+The problem consists of one input variable x and one target variable +t with data generated by sampling x at equal intervals and then +generating target data by computing sin(2*pi*x) and adding Gaussian +noise. This data is the same as that used in demmlp1. + +

Three different RBF networks (with different activation functions) +are trained in two stages. First, a Gaussian mixture model is trained using +the EM algorithm, and the centres of this model are used to set the centres +of the RBF. Second, the output weights (and biases) are determined using the +pseudo-inverse of the design matrix. + +

+See Also +

+demmlp1, rbf, rbffwd, gmm, gmmem
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demsom1.htm b/sourcecodes/bnt-master/nethelp3.3/demsom1.htm new file mode 100644 index 00000000..4cc1bbf0 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demsom1.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual demsom1 + + + +

demsom1 +

+

+Purpose +

+Demonstrate SOM for visualisation. + +

+Synopsis +

+
+demsom1
+ + +

+Description +

+ +This script demonstrates the use of a +SOM with a two-dimensional grid to map onto data in +two-dimensional space. Both on-line and batch training algorithms +are shown. + +

+See Also +

+som, sompak, somtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/demtrain.htm b/sourcecodes/bnt-master/nethelp3.3/demtrain.htm new file mode 100644 index 00000000..f3c8d8d5 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/demtrain.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual demtrain + + + +

demtrain +

+

+Purpose +

+Demonstrate training of MLP network. + +

+Synopsis +

+
+demtrain
+ + +

+Description +

+demtrain brings up a simple GUI to show the training of +an MLP network on classification and regression problems. The user +should load in a dataset (which should be in Netlab format: see +datread), select the output activation function, the + number of cycles and hidden units and then +train the network. The scaled conjugate gradient algorithm is used. +A graph shows the evolution of the error: the value is shown +max(ceil(iterations / 50), 5) cycles. + +

Once the network is trained, it is saved to the file mlptrain.net. +The results can then be viewed as a confusion matrix (for classification +problems) or a plot of output versus target (for regression problems). + +

+See Also +

+confmat, datread, mlp, netopt, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/dist2.htm b/sourcecodes/bnt-master/nethelp3.3/dist2.htm new file mode 100644 index 00000000..80dd82b9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/dist2.htm @@ -0,0 +1,57 @@ + + + +Netlab Reference Manual dist2 + + + +

dist2 +

+

+Purpose +

+Calculates squared distance between two sets of points. + +

+Synopsis +

+
+d = dist2(x, c)
+
+ + +

+Description +

+d = dist2(x, c) takes two matrices of vectors and calculates the +squared Euclidean distance between them. Both matrices must be of the +same column dimension. If x has m rows and n columns, and +c has l rows and n columns, then the result has +m rows and l columns. The i, jth entry is the +squared distance from the ith row of x to the jth +row of c. + +

+Example +

+The following code is used in rbffwd to calculate the activation of +a thin plate spline function. +
+
+n2 = dist2(x, c);
+z = log(n2.^(n2.^2));
+
+ + +

+See Also +

+gmmactiv, kmeans, rbffwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/eigdec.htm b/sourcecodes/bnt-master/nethelp3.3/eigdec.htm new file mode 100644 index 00000000..b981a96c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/eigdec.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual eigdec + + + +

eigdec +

+

+Purpose +

+Sorted eigendecomposition + +

+Synopsis +

+
+evals = eigdec(x, N)
+[evals, evec] = eigdec(x, N)
+
+ + +

+Description +

+ +evals = eigdec(x, N computes the largest N eigenvalues of the +matrix x in descending order. [evals, evec] = eigdec(x, N) +also computes the corresponding eigenvectors. + +

+See Also +

+pca, ppca
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/errbayes.htm b/sourcecodes/bnt-master/nethelp3.3/errbayes.htm new file mode 100644 index 00000000..d3aaa1da --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/errbayes.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual errbayes + + + +

errbayes +

+

+Purpose +

+Evaluate Bayesian error function for network. + +

+Synopsis +

+
+e = errbayes(net, edata)
+[e, edata, eprior] = errbayes(net, edata)
+
+ + +

+Description +

+e = errbayes(net, edata) takes a network data structure +net together +the data contribution to the error for a set of inputs and targets. +It returns the regularised error using any zero mean Gaussian priors +on the weights defined in +net. + +

[e, edata, eprior] = errbayes(net, x, t) additionally returns the +data and prior components of the error. + +

+See Also +

+glmerr, mlperr, rbferr
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/evidence.htm b/sourcecodes/bnt-master/nethelp3.3/evidence.htm new file mode 100644 index 00000000..7e319484 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/evidence.htm @@ -0,0 +1,57 @@ + + + +Netlab Reference Manual evidence + + + +

evidence +

+

+Purpose +

+Re-estimate hyperparameters using evidence approximation. + +

+Synopsis +

+
+[net] = evidence(net, x, t)
+[net, gamma, logev] = evidence(net, x, t, num)
+
+ + +

+Description +

+[net] = evidence(net, x, t) re-estimates the +hyperparameters alpha and beta by applying Bayesian +re-estimation formulae for num iterations. The hyperparameter +alpha can be a simple scalar associated with an isotropic prior +on the weights, or can be a vector in which each component is +associated with a group of weights as defined by the index +matrix in the net data structure. These more complex priors can +be set up for an MLP using mlpprior. Initial values for the iterative +re-estimation are taken from the network data structure net +passed as an input argument, while the return argument net +contains the re-estimated values. + +

[net, gamma, logev] = evidence(net, x, t, num) allows the re-estimation +formula to be applied for num cycles in which the re-estimated +values for the hyperparameters from each cycle are used to re-evaluate +the Hessian matrix for the next cycle. The return value gamma is +the number of well-determined parameters and logev is the log +of the evidence. + +

+See Also +

+mlpprior, netgrad, nethess, demev1, demard
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/fevbayes.htm b/sourcecodes/bnt-master/nethelp3.3/fevbayes.htm new file mode 100644 index 00000000..42289df9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/fevbayes.htm @@ -0,0 +1,53 @@ + + + +Netlab Reference Manual fevbayes + + + +

fevbayes +

+

+Purpose +

+Evaluate Bayesian regularisation for network forward propagation. + +

+Synopsis +

+
+extra = fevbayes(net, y, a, x, t, x_test)
+[extra, invhess] = fevbayes(net, y, a, x, t, x_test, invhess)
+
+ + +

+Description +

+extra = fevbayes(net, y, a, x, t, x_test) takes a network data structure +net together with a set of hidden unit activations a from +test inputs x_test, training data inputs x and t and +outputs a matrix of extra information extra that consists of +error bars (variance) +for a regression problem or moderated outputs for a classification problem. +The optional argument (and return value) +invhess is the inverse of the network Hessian +computed on the training data inputs and targets. Passing it in avoids +recomputing it, which can be a significant saving for large training sets. + +

This is called by network-specific functions such as mlpevfwd which +are needed since the return values (predictions and hidden unit activations) +for different network types are in different orders (for good reasons). + +

+See Also +

+mlpevfwd, rbfevfwd, glmevfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gauss.htm b/sourcecodes/bnt-master/nethelp3.3/gauss.htm new file mode 100644 index 00000000..4f0f0d88 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gauss.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual gauss + + + +

gauss +

+

+Purpose +

+Evaluate a Gaussian distribution. + +

+Synopsis +

+
+y = gauss(mu, covar, x)
+
+ + +

+Description +

+ +

y = gauss(mu, covar, x) evaluates a multi-variate Gaussian +density in d-dimensions at a set of points given by the rows +of the matrix x. The Gaussian density has mean vector mu +and covariance matrix covar. + +

+See Also +

+gsamp, demgauss
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gbayes.htm b/sourcecodes/bnt-master/nethelp3.3/gbayes.htm new file mode 100644 index 00000000..3e123fdf --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gbayes.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual gbayes + + + +

gbayes +

+

+Purpose +

+Evaluate gradient of Bayesian error function for network. + +

+Synopsis +

+
+g = gbayes(net, gdata)
+[g, gdata, gprior] = gbayes(net, gdata)
+
+ + +

+Description +

+g = gbayes(net, gdata) takes a network data structure net together +the data contribution to the error gradient +for a set of inputs and targets. +It returns the regularised error gradient using any zero mean Gaussian priors +on the weights defined in +net. In addition, if a mask is defined in net, then +the entries in g that correspond to weights with a 0 in the +mask are removed. + +

[g, gdata, gprior] = gbayes(net, gdata) additionally returns the +data and prior components of the error. + +

+See Also +

+errbayes, glmgrad, mlpgrad, rbfgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glm.htm b/sourcecodes/bnt-master/nethelp3.3/glm.htm new file mode 100644 index 00000000..a860372f --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glm.htm @@ -0,0 +1,85 @@ + + + +Netlab Reference Manual glm + + + +

glm +

+

+Purpose +

+Create a generalized linear model. + +

+Synopsis +

+
+net = glm(nin, nout, func)
+net = glm(nin, nout, func, prior)
+net = glm(nin, nout, func, prior, beta)
+
+ + +

+Description +

+ +

net = glm(nin, nout, func) takes the number of inputs +and outputs for a generalized linear model, together +with a string func which specifies the output unit activation function, +and returns a data structure net. The weights are drawn from a zero mean, +isotropic Gaussian, with variance scaled by the fan-in of the +output units. This makes use of the Matlab function +randn and so the seed for the random weight initialization can be +set using randn('state', s) where s is the seed value. The optional +argument alpha sets the inverse variance for the weight +initialization. + +

The fields in net are +

+  type = 'glm'
+  nin = number of inputs
+  nout = number of outputs
+  nwts = total number of weights and biases
+  actfn = string describing the output unit activation function:
+      'linear'
+      'logistic'
+      'softmax'
+  w1 = first-layer weight matrix
+  b1 = first-layer bias vector
+
+ + +

net = glm(nin, nout, func, prior), in which prior is +a scalar, allows the field +net.alpha in the data structure net to be set, corresponding +to a zero-mean isotropic Gaussian prior with inverse variance with +value prior. Alternatively, prior can consist of a data +structure with fields alpha and index, allowing individual +Gaussian priors to be set over groups of weights in the network. Here +alpha is a column vector in which each element corresponds to a +separate group of weights, which need not be mutually exclusive. The +membership of the groups is defined by the matrix index in which +the columns correspond to the elements of alpha. Each column has +one element for each weight in the matrix, in the order defined by the +function glmpak, and each element is 1 or 0 according to whether +the weight is a member of the corresponding group or not. + +

net = glm(nin, nout, func, prior, beta) also sets the +additional field net.beta in the data structure net, where +beta corresponds to the inverse noise variance. + +

+See Also +

+glmpak, glmunpak, glmfwd, glmerr, glmgrad, glmtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmderiv.htm b/sourcecodes/bnt-master/nethelp3.3/glmderiv.htm new file mode 100644 index 00000000..56887889 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmderiv.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual glmderiv + + + +

glmderiv +

+

+Purpose +

+Evaluate derivatives of GLM outputs with respect to weights. + +

+Synopsis +

+
+
+g = glmderiv(net, x)
+
+ + +

+Description +

+g = glmderiv(net, x) takes a network data structure net and a matrix +of input vectors x and returns a three-index matrix mat{g} whose +i, j, k +element contains the derivative of network output k with respect to +weight or bias parameter j for input pattern i. The ordering of the +weight and bias parameters is defined by glmunpak. + +

+See also +

+
+glm, glmunpak, glmgrad
+ + +


+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmerr.htm b/sourcecodes/bnt-master/nethelp3.3/glmerr.htm new file mode 100644 index 00000000..fde8a08b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmerr.htm @@ -0,0 +1,56 @@ + + + +Netlab Reference Manual glmerr + + + +

glmerr +

+

+Purpose +

+Evaluate error function for generalized linear model. + +

+Synopsis +

+
+e = glmerr(net, x, t)
+[e, edata, eprior] = glmerr(net, x, t)
+[e, edata, eprior, y, a] = glmerr(net, x, t)
+
+ + +

+Description +

+ +e = glmerr(net, x, t) takes a generalized +linear model data structure net together with a matrix x +of input vectors and a matrix t of target vectors, and evaluates +the error function e. The choice of error function corresponds +to the output unit activation function. Each row of x +corresponds to one input vector and each row of t corresponds to +one target vector. + +

[e, edata, eprior, y, a] = glmerr(net, x, t) also returns +the data and prior components of the total error. + +

[e, edata, eprior, y, a] = glmerr(net, x) also returns a matrix y +giving the outputs of the models and a matrix a +giving the summed inputs to each output unit, where each row +corresponds to one pattern. + +

+See Also +

+glm, glmpak, glmunpak, glmfwd, glmgrad, glmtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmevfwd.htm b/sourcecodes/bnt-master/nethelp3.3/glmevfwd.htm new file mode 100644 index 00000000..fc2f4749 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmevfwd.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual glmevfwd + + + +

glmevfwd +

+

+Purpose +

+Forward propagation with evidence for GLM + +

+Synopsis +

+
+
+[y, extra] = glmevfwd(net, x, t, x_test)
+[y, extra, invhess] = glmevfwd(net, x, t, x_test, invhess)
+
+ + +

+Description +

+y = glmevfwd(net, x, t, x_test) takes a network data structure +net together with the input x and target t training data +and input test data x_test. +It returns the normal forward propagation through the network y +together with a matrix extra which consists of error bars (variance) +for a regression problem or moderated outputs for a classification problem. + +

The optional argument (and return value) +invhess is the inverse of the network Hessian +computed on the training data inputs and targets. Passing it in avoids +recomputing it, which can be a significant saving for large training sets. + +

+See Also +

+fevbayes
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmfwd.htm b/sourcecodes/bnt-master/nethelp3.3/glmfwd.htm new file mode 100644 index 00000000..9e8f1061 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmfwd.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual glmfwd + + + +

glmfwd +

+

+Purpose +

+Forward propagation through generalized linear model. + +

+Synopsis +

+
+y = glmfwd(net, x)
+[y, a] = glmfwd(net, x)
+
+ + +

+Description +

+y = glmfwd(net, x) takes a generalized linear model +data structure net together with +a matrix x of input vectors, and forward propagates the inputs +through the network to generate a matrix y of output +vectors. Each row of x corresponds to one input vector and each +row of y corresponds to one output vector. + +

[y, a] = glmfwd(net, x) also returns a matrix a +giving the summed inputs to each output unit, where each row +corresponds to one pattern. + +

+See Also +

+glm, glmpak, glmunpak, glmerr, glmgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmgrad.htm b/sourcecodes/bnt-master/nethelp3.3/glmgrad.htm new file mode 100644 index 00000000..024a5d19 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmgrad.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual glmgrad + + + +

glmgrad +

+

+Purpose +

+Evaluate gradient of error function for generalized linear model. + +

+Synopsis +

+
+
+g = glmgrad(net, x, t)
+[g, gdata, gprior] = glmgrad(net, x, t)
+
+ + +

+Description +

+g = glmgrad(net, x, t) takes a generalized linear model +data structure net +together with a matrix x of input vectors and a matrix t +of target vectors, and evaluates the gradient g of the error +function with respect to the network weights. The error function +corresponds to the choice of output unit activation function. Each row +of x corresponds to one input vector and each row of t +corresponds to one target vector. + +

[g, gdata, gprior] = glmgrad(net, x, t) also returns separately +the data and prior contributions to the gradient. + +

+See Also +

+glm, glmpak, glmunpak, glmfwd, glmerr, glmtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmhess.htm b/sourcecodes/bnt-master/nethelp3.3/glmhess.htm new file mode 100644 index 00000000..481e3220 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmhess.htm @@ -0,0 +1,74 @@ + + + +Netlab Reference Manual glmhess + + + +

glmhess +

+

+Purpose +

+Evaluate the Hessian matrix for a generalised linear model. + +

+Synopsis +

+
+h = glmhess(net, x, t)
+[h, hdata] = glmhess(net, x, t)
+h = glmhess(net, x, t, hdata)
+
+ + +

+Description +

+h = glmhess(net, x, t) takes a GLM network data structure net, +a matrix x of input values, and a matrix t of target +values and returns the full Hessian matrix h corresponding to +the second derivatives of the negative log posterior distribution, +evaluated for the current weight and bias values as defined by +net. Note that the target data is not required in the calculation, +but is included to make the interface uniform with nethess. For +linear and logistic outputs, the computation is very simple and is +done (in effect) in one line in glmtrain. + +

[h, hdata] = glmhess(net, x, t) returns both the Hessian matrix +h and the contribution hdata arising from the data dependent +term in the Hessian. + +

h = glmhess(net, x, t, hdata) takes a network data structure +net, a matrix x of input values, and a matrix t of +target values, together with the contribution hdata arising from +the data dependent term in the Hessian, and returns the full Hessian +matrix h corresponding to the second derivatives of the negative +log posterior distribution. This version saves computation time if +hdata has already been evaluated for the current weight and bias +values. + +

+Example +

+The Hessian matrix is used by glmtrain to take a Newton step for +softmax outputs. +
+
+Hessian = glmhess(net, x, t);
+deltaw = -gradient*pinv(Hessian);
+
+ + +

+See Also +

+glm, glmtrain, hesschek, nethess
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glminit.htm b/sourcecodes/bnt-master/nethelp3.3/glminit.htm new file mode 100644 index 00000000..e19369d3 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glminit.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual glminit + + + +

glminit +

+

+Purpose +

+Initialise the weights in a generalized linear model. + +

+Synopsis +

+
+net = glminit(net, prior)
+
+ + +

+Description +

+ +

net = glminit(net, prior) takes a generalized linear model +net and sets the weights and biases by sampling from a Gaussian +distribution. If prior is a scalar, then all of the parameters +(weights and biases) are sampled from a single isotropic Gaussian with +inverse variance equal to prior. If prior is a data +structure similar to that in mlpprior but for a single layer of +weights, then the parameters +are sampled from multiple Gaussians according to their groupings +(defined by the index field) with corresponding variances +(defined by the alpha field). + +

+See Also +

+glm, glmpak, glmunpak, mlpinit, mlpprior
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmpak.htm b/sourcecodes/bnt-master/nethelp3.3/glmpak.htm new file mode 100644 index 00000000..8e1af1ad --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmpak.htm @@ -0,0 +1,40 @@ + + + +Netlab Reference Manual glmpak + + + +

glmpak +

+

+Purpose +

+Combines weights and biases into one weights vector. + +

+Synopsis +

+
+w = glmpak(net)
+
+ + +

+Description +

+w = glmpak(net) takes a network data structure net and +combines them into a single row vector w. + +

+See Also +

+glm, glmunpak, glmfwd, glmerr, glmgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmtrain.htm b/sourcecodes/bnt-master/nethelp3.3/glmtrain.htm new file mode 100644 index 00000000..a52ada6d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmtrain.htm @@ -0,0 +1,71 @@ + + + +Netlab Reference Manual glmtrain + + + +

glmtrain +

+

+Purpose +

+Specialised training of generalized linear model + +

+Description +

+net = glmtrain(net, options, x, t) uses +the iterative reweighted least squares (IRLS) +algorithm to set the weights in the generalized linear model structure +net. This is a more efficient alternative to using glmerr +and glmgrad and a non-linear optimisation routine through +netopt. +Note that for linear outputs, a single pass through the +algorithm is all that is required, since the error function is quadratic in +the weights. The algorithm also handles scalar alpha and beta +terms. If you want to use more complicated priors, you should use +general-purpose non-linear optimisation algorithms. + +

For logistic and softmax outputs, general priors can be handled, although +this requires the pseudo-inverse of the Hessian, giving up the better +conditioning and some of the speed advantage of the normal form equations. + +

The error function value at the final set of weights is returned +in options(8). +Each row of x corresponds to one +input vector and each row of t corresponds to one target vector. + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values during training. +If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is a measure of the precision required for the value +of the weights w at the solution. + +

options(3) is a measure of the precision required of the objective +function at the solution. Both this and the previous condition must be +satisfied for termination. + +

options(5) is set to 1 if an approximation to the Hessian (which assumes +that all outputs are independent) is used for softmax outputs. With the default +value of 0 the exact Hessian (which is more expensive to compute) is used. + +

options(14) is the maximum number of iterations for the IRLS algorithm; +default 100. + +

+See Also +

+glm, glmerr, glmgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/glmunpak.htm b/sourcecodes/bnt-master/nethelp3.3/glmunpak.htm new file mode 100644 index 00000000..73fd5054 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/glmunpak.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual glmunpak + + + +

glmunpak +

+

+Purpose +

+Separates weights vector into weight and bias matrices. + +

+Synopsis +

+
+net = glmunpak(net, w)
+
+ + +

+Description +

+net = glmunpak(net, w) takes a glm network data structure net and +a weight vector w, and returns a network data structure identical to +the input network, except that the first-layer weight matrix +w1 and the first-layer bias vector b1 have +been set to the corresponding elements of w. + +

+See Also +

+glm, glmpak, glmfwd, glmerr, glmgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmm.htm b/sourcecodes/bnt-master/nethelp3.3/gmm.htm new file mode 100644 index 00000000..c815b3cb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmm.htm @@ -0,0 +1,96 @@ + + + +Netlab Reference Manual gmm + + + +

gmm +

+

+Purpose +

+Creates a Gaussian mixture model with specified architecture. + +

+Synopsis +

+
+mix = gmm(dim, ncentres, covartype)
+mix = gmm(dim, ncentres, covartype, ppca_dim)
+
+ + +

+Description +

+ +mix = gmm(dim, ncentres, covartype) takes +the dimension of the space dim, the number of centres in the +mixture model and the type of the mixture model, and returns a data +structure mix. +The mixture model type defines the covariance structure of each component +Gaussian: +
+
+  'spherical' = single variance parameter for each component: stored as a vector
+  'diag' = diagonal matrix for each component: stored as rows of a matrix
+  'full' = full matrix for each component: stored as 3d array
+  'ppca' = probabilistic PCA: stored as principal components (in a 3d array
+    and associated variances and off-subspace noise
+
+ +mix = gmm(dim, ncentres, covartype, ppca_dim) also sets the dimension of +the PPCA sub-spaces: the default value is one. + +

The priors are initialised to equal values summing to one, and the covariances +are all the identity matrix (or equivalent). The centres are +initialised randomly from a zero mean unit variance Gaussian. This makes use +of the MATLAB function randn and so the seed for the random weight +initialisation can be set using randn('state', s) where s is the +state value. + +

The fields in mix are +

+  
+  type = 'gmm'
+  nin = the dimension of the space
+  ncentres = number of mixture components
+  covartype = string for type of variance model
+  priors = mixing coefficients
+  centres = means of Gaussians: stored as rows of a matrix
+  covars = covariances of Gaussians
+
+ +The additional fields for mixtures of PPCA are +
+
+  U = principal component subspaces
+  lambda = in-space covariances: stored as rows of a matrix
+
+ +The off-subspace noise is stored in covars. + +

+Example +

+
+
+mix = gmm(2, 4, 'spherical');
+
+ +This creates a Gaussian mixture model with 4 components in 2 dimensions. +The covariance structure is a spherical model. + +

+See Also +

+gmmpak, gmmunpak, gmmsamp, gmminit, gmmem, gmmactiv, gmmpost, gmmprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmactiv.htm b/sourcecodes/bnt-master/nethelp3.3/gmmactiv.htm new file mode 100644 index 00000000..0c3c5c8f --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmactiv.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual gmmactiv + + + +

gmmactiv +

+

+Purpose +

+Computes the activations of a Gaussian mixture model. + +

+Synopsis +

+
+
+a = gmmactiv(mix, x)
+
+ + +

+Description +

+This function computes the activations a (i.e. the +probability p(x|j) of the data conditioned on each component density) +for a Gaussian mixture model. For the PPCA model, each activation +is the conditional probability of x given that it is generated +by the component subspace. +The data structure mix defines the mixture model, while the matrix +x contains the data vectors. Each row of x represents a single +vector. + +

+See Also +

+gmm, gmmpost, gmmprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmem.htm b/sourcecodes/bnt-master/nethelp3.3/gmmem.htm new file mode 100644 index 00000000..6c0f46dd --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmem.htm @@ -0,0 +1,87 @@ + + + +Netlab Reference Manual gmmem + + + +

gmmem +

+

+Purpose +

+EM algorithm for Gaussian mixture model. + +

+Synopsis +

+
+
+[mix, options, errlog] = gmmem(mix, x, options)
+
+ + +

+Description +

+[mix, options, errlog] = gmmem(mix, x, options) uses the Expectation +Maximization algorithm of Dempster et al. to estimate the parameters of +a Gaussian mixture model defined by a data structure mix. +The matrix x represents the data whose expectation +is maximized, with each row corresponding to a vector. + +The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog. +If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(3) is a measure of the absolute precision required of the error +function at the solution. If the change in log likelihood between two steps of +the EM algorithm is less than this value, then the function terminates. + +

options(5) is set to 1 if a covariance matrix is reset to its +original value when any of its singular values are too small (less +than MIN_COVAR which has the value eps). +With the default value of 0 no action is taken. + +

options(14) is the maximum number of iterations; default 100. + +

The optional return value options contains the final error value +(i.e. data log likelihood) in +options(8). + +

+Examples +

+The following code fragment sets up a Gaussian mixture model, initialises +the parameters from the data, sets the options and trains the model. +
+
+mix = gmm(inputdim, ncentres, 'full');
+
+

options = foptions; +options(14) = 5; +mix = gmminit(mix, data, options); + +

options(1) = 1; % Prints out error values. +options(14) = 30; % Max. number of iterations. + +

mix = gmmem(mix, data, options); +

+ + +

+See Also +

+gmm, gmminit
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmminit.htm b/sourcecodes/bnt-master/nethelp3.3/gmminit.htm new file mode 100644 index 00000000..3108da74 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmminit.htm @@ -0,0 +1,65 @@ + + + +Netlab Reference Manual gmminit + + + +

gmminit +

+

+Purpose +

+Initialises Gaussian mixture model from data + +

+Synopsis +

+
+
+mix = gmminit(mix, x, options)
+
+ + +

+Description +

+mix = gmminit(mix, x, options) uses a dataset x +to initialise the parameters of a Gaussian mixture +model defined by the data structure mix. The k-means algorithm +is used to determine the centres. The priors are computed from the +proportion of examples belonging to each cluster. +The covariance matrices are calculated as the sample covariance of the +points associated with (i.e. closest to) the corresponding centres. +For a mixture of PPCA model, the PPCA decomposition is calculated +for the points closest to a given centre. +This initialisation can be used as the starting point for training the +model using the EM algorithm. + +

+Example +

+
+
+mix = gmm(3, 2);
+options = foptions;
+options(14) = 5;
+mix = gmminit(mix, data, options);
+
+ +This code sets up a Gaussian mixture model with 3 centres in 2 dimensions, and +then initialises the parameters from the data set data with 5 iterations +of the k means algorithm. + +

+See Also +

+gmm
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmpak.htm b/sourcecodes/bnt-master/nethelp3.3/gmmpak.htm new file mode 100644 index 00000000..0ef370a9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmpak.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual gmmpak + + + +

gmmpak +

+

+Purpose +

+Combines all the parameters in a Gaussian mixture model into one vector. + +

+Synopsis +

+
+p = gmmpak(mix)
+
+ + +

+Description +

+p = gmmpak(net) takes a mixture data structure mix +and combines the component parameter matrices into a single row +vector p. + +

+See Also +

+gmm, gmmunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmpost.htm b/sourcecodes/bnt-master/nethelp3.3/gmmpost.htm new file mode 100644 index 00000000..d323115f --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmpost.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual gmmpost + + + +

gmmpost +

+

+Purpose +

+Computes the class posterior probabilities of a Gaussian mixture model. + +

+Synopsis +

+
+
+function post = gmmpost(mix, x)
+
+ + +

+Description +

+This function computes the posteriors post (i.e. the probability of each +component conditioned on the data p(j|x)) for a Gaussian mixture model. +The data structure mix defines the mixture model, while the matrix +x contains the data vectors. Each row of x represents a single +vector. + +

+See Also +

+gmm, gmmactiv, gmmprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmprob.htm b/sourcecodes/bnt-master/nethelp3.3/gmmprob.htm new file mode 100644 index 00000000..acc3fb65 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmprob.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual gmmprob + + + +

gmmprob +

+

+Purpose +

+Computes the data probability for a Gaussian mixture model. + +

+Synopsis +

+
+
+function prob = gmmprob(mix, x)
+
+ + +

+Description +

+ +This function computes the unconditional data +density p(x) for a Gaussian mixture model. The data structure +mix defines the mixture model, while the matrix x contains +the data vectors. Each row of x represents a single vector. + +

+See Also +

+gmm, gmmpost, gmmactiv
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmsamp.htm b/sourcecodes/bnt-master/nethelp3.3/gmmsamp.htm new file mode 100644 index 00000000..30f6821c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmsamp.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual gmmsamp + + + +

gmmsamp +

+

+Purpose +

+Sample from a Gaussian mixture distribution. + +

+Synopsis +

+
+data = gmmsamp(mix, n)
+[data, label] = gmmsamp(mix, n)
+
+ + +

+Description +

+ +

data = gsamp(mix, n) generates a sample of size n from a +Gaussian mixture distribution defined by the mix data +structure. The matrix x has n +rows in which each row represents a mix.nin-dimensional sample vector. + +

[data, label] = gmmsamp(mix, n) also returns a column vector of +classes (as an index 1..N) label. + +

+See Also +

+gsamp, gmm
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gmmunpak.htm b/sourcecodes/bnt-master/nethelp3.3/gmmunpak.htm new file mode 100644 index 00000000..2287fb3b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gmmunpak.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual gmmunpak + + + +

gmmunpak +

+

+Purpose +

+Separates a vector of Gaussian mixture model parameters into its components. + +

+Synopsis +

+
+mix = gmmunpak(mix, p)
+
+ + +

+Description +

+mix = gmmunpak(mix, p) +takes a GMM data structure mix and +a single row vector of parameters p and returns a mixture data structure +identical to the input mix, except that the mixing coefficients +priors, centres centres and covariances covars +(and, for PPCA, the lambdas and U (PCA sub-spaces)) are all set +to the corresponding elements of p. + +

+See Also +

+gmm, gmmpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gp.htm b/sourcecodes/bnt-master/nethelp3.3/gp.htm new file mode 100644 index 00000000..77d6ab1a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gp.htm @@ -0,0 +1,80 @@ + + + +Netlab Reference Manual gp + + + +

gp +

+

+Purpose +

+Create a Gaussian Process. + +

+Synopsis +

+
+net = gp(nin, covarfn)
+net = gp(nin, covarfn, prior)
+
+ + +

+Description +

+ +

net = gp(nin, covarfn) takes the number of inputs nin +for a Gaussian Process model with a single output, together +with a string covarfn which specifies the type of the covariance function, +and returns a data structure net. The parameters are set to zero. + +

The fields in net are +

+  type = 'gp'
+  nin = number of inputs
+  nout = number of outputs: always 1
+  nwts = total number of weights and covariance function parameters
+  bias = logarithm of constant offset in covariance function
+  noise = logarithm of output noise variance
+  inweights = logarithm of inverse length scale for each input 
+  covarfn = string describing the covariance function:
+      'sqexp'
+      'ratquad'
+  fpar = covariance function specific parameters (1 for squared exponential,
+   2 for rational quadratic)
+  trin = training input data (initially empty)
+  trtargets = training target data (initially empty)
+
+ + +

net = gp(nin, covarfn, prior) sets a Gaussian prior on the +parameters of the model. prior must contain the fields +pr_mean and pr_variance. If pr_mean is a scalar, +then the Gaussian is assumed to be isotropic and the additional fields +net.pr_mean and pr_variance are set. Otherwise, +the Gaussian prior has a mean +defined by a column vector of parameters prior.pr_mean and +covariance defined by a column vector of parameters prior.pr_variance. +Each element of prmean corresponds to a separate group of parameters, which +need not be mutually exclusive. The membership of the groups is defined +by the matrix prior.index in which the columns correspond to the elements of +prmean. Each column has one element for each weight in the matrix, +in the order defined by the function gppak, and each element +is 1 or 0 according to whether the parameter is a member of the +corresponding group or not. The additional field net.index is set +in this case. + +

+See Also +

+gppak, gpunpak, gpfwd, gperr, gpcovar, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpcovar.htm b/sourcecodes/bnt-master/nethelp3.3/gpcovar.htm new file mode 100644 index 00000000..f626f8fd --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpcovar.htm @@ -0,0 +1,64 @@ + + + +Netlab Reference Manual gpcovar + + + +

gpcovar +

+

+Purpose +

+Calculate the covariance for a Gaussian Process. + +

+Synopsis +

+
+cov = gpcovar(net, x)
+[cov, covf] = gpcovar(net, x)
+
+ + +

+Description +

+ +

cov = gpcovar(net, x) takes +a Gaussian Process data structure net together with +a matrix x of input vectors, and computes the covariance +matrix cov. The inverse of this matrix is used when calculating +the mean and variance of the predictions made by net. + +

[cov, covf] = gpcovar(net, x) also generates the covariance +matrix due to the covariance function specified by net.covarfn +as calculated by gpcovarf. + +

+Example +

+In the following example, the inverse covariance matrix is calculated +for a set of training inputs x and is then +passed to gpfwd so that predictions (with mean ytest and +variance sigsq) can be made for the test inputs +xtest. +
+
+cninv = inv(gpcovar(net, x)); 
+[ytest, sigsq] = gpfwd(net, xtest, cninv);
+
+ + +

+See Also +

+gp, gppak, gpunpak, gpcovarp, gpcovarf, gpfwd, gperr, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpcovarf.htm b/sourcecodes/bnt-master/nethelp3.3/gpcovarf.htm new file mode 100644 index 00000000..5bce6b98 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpcovarf.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual gpcovarf + + + +

gpcovarf +

+

+Purpose +

+Calculate the covariance function for a Gaussian Process. + +

+Synopsis +

+
+covf = gpcovarf(net, x1, x2)
+
+ + +

+Description +

+ +

covf = gpcovarf(net, x1, x2) takes +a Gaussian Process data structure net together with +two matrices x1 and x2 of input vectors, +and computes the matrix of the covariance function values +covf. + +

+See Also +

+gp, gpcovar, gpcovarp, gperr, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpcovarp.htm b/sourcecodes/bnt-master/nethelp3.3/gpcovarp.htm new file mode 100644 index 00000000..616664ce --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpcovarp.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual gpcovarp + + + +

gpcovarp +

+

+Purpose +

+Calculate the prior covariance for a Gaussian Process. + +

+Synopsis +

+
+covp = gpcovarp(net, x1, x2)
+[covp, covf] = gpcovarp(net, x1, x2)
+
+ + +

+Description +

+ +

covp = gpcovarp(net, x1, x2) takes +a Gaussian Process data structure net together with +two matrices x1 and x2 of input vectors, +and computes the matrix of the prior covariance. This is +the function component of the covariance plus the exponential of the bias +term. + +

[covp, covf] = gpcovarp(net, x1, x2) also returns the function +component of the covariance. + +

+See Also +

+gp, gpcovar, gpcovarf, gperr, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gperr.htm b/sourcecodes/bnt-master/nethelp3.3/gperr.htm new file mode 100644 index 00000000..de8d9831 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gperr.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual gperr + + + +

gperr +

+

+Purpose +

+Evaluate error function for Gaussian Process. + +

+Synopsis +

+
+edata = gperr(net, x, t)
+[e, edata, eprior] = gperr(net, x, t)
+
+ + +

+Description +

+e = gperr(net, x, t) takes a Gaussian Process data structure net together +with a matrix x of input vectors and a matrix t of target +vectors, and evaluates the error function e. Each row +of x corresponds to one input vector and each row of t +corresponds to one target vector. + +

[e, edata, eprior] = gperr(net, x, t) additionally returns the +data and hyperprior components of the error, assuming a Gaussian +prior on the weights with mean and variance parameters prmean and +prvariance taken from the network data structure net. + +

+See Also +

+gp, gpcovar, gpfwd, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpfwd.htm b/sourcecodes/bnt-master/nethelp3.3/gpfwd.htm new file mode 100644 index 00000000..51fc239c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpfwd.htm @@ -0,0 +1,73 @@ + + + +Netlab Reference Manual gpfwd + + + +

gpfwd +

+

+Purpose +

+Forward propagation through Gaussian Process. + +

+Synopsis +

+
+y = gpfwd(net, x)
+[y, sigsq] = gpfwd(net, x)
+[y, sigsq] = gpfwd(net, x, cninv)
+
+ + +

+Description +

+y = gpfwd(net, x) takes a Gaussian Process data structure net +together +with a matrix x of input vectors, and forward propagates the inputs +through the model to generate a matrix y of output +vectors. Each row of x corresponds to one input vector and each +row of y corresponds to one output vector. This assumes that the +training data (both inputs and targets) has been stored in net by +a call to gpinit; these are needed to compute the training +data covariance matrix. + +

[y, sigsq] = gpfwd(net, x) also generates a column vector sigsq of +conditional variances (or squared error bars) where each value corresponds to a pattern. + +

[y, sigsq] = gpfwd(net, x, cninv) uses the pre-computed inverse covariance +matrix cninv in the forward propagation. This increases efficiency if +several calls to gpfwd are made. + +

+Example +

+The following code creates a Gaussian Process, trains it, and then plots the +predictions on a test set with one standard deviation error bars: +
+
+net = gp(1, 'sqexp');
+net = gpinit(net, x, t);
+net = netopt(net, options, x, t, 'scg');
+[pred, sigsq] = gpfwd(net, xtest);
+plot(xtest, pred, '-k');
+hold on
+plot(xtest, pred+sqrt(sigsq), '-b', xtest, pred-sqrt(sigsq), '-b');
+
+ + +

+See Also +

+gp, demgp, gpinit
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpgrad.htm b/sourcecodes/bnt-master/nethelp3.3/gpgrad.htm new file mode 100644 index 00000000..887cdf1b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpgrad.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual gpgrad + + + +

gpgrad +

+

+Purpose +

+Evaluate error gradient for Gaussian Process. + +

+Synopsis +

+
+g = gpgrad(net, x, t)
+
+ + +

+Description +

+g = gpgrad(net, x, t) takes a Gaussian Process data structure net together +with a matrix x of input vectors and a matrix t of target +vectors, and evaluates the error gradient g. Each row +of x corresponds to one input vector and each row of t +corresponds to one target vector. + +

+See Also +

+gp, gpcovar, gpfwd, gperr
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpinit.htm b/sourcecodes/bnt-master/nethelp3.3/gpinit.htm new file mode 100644 index 00000000..1874dde7 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpinit.htm @@ -0,0 +1,76 @@ + + + +Netlab Reference Manual gpinit + + + +

gpinit +

+

+Purpose +

+Initialise Gaussian Process model. + +

+Synopsis +

+
+net = gpinit(net, trin, trtargets, prior)
+net = gpinit(net, trin, trtargets, prior)
+
+ + +

+Description +

+net = gpinit(net, trin, trtargets) takes a Gaussian Process data structure net +together +with a matrix trin of training input vectors and a matrix trtargets of +training target +vectors, and stores them in net. These datasets are required if +the corresponding inverse covariance matrix is not supplied to gpfwd. +This is important if the data structure is saved and then reloaded before +calling gpfwd. +Each row +of trin corresponds to one input vector and each row of trtargets +corresponds to one target vector. + +

net = gpinit(net, trin, trtargets, prior) additionally initialises the +parameters in net from the prior data structure which contains the +mean and variance of the Gaussian distribution which is sampled from. + +

+Example +

+Suppose that a Gaussian Process model is created and trained with input data x +and targets t: +
+
+net = gp(2, 'sqexp');
+net = gpinit(net, x, t);
+% Train the network
+save 'gp.net' net;
+
+ +Another Matlab program can now read in the network and make predictions on a data set +testin: +
+
+load 'gp.net';
+pred = gpfwd(net, testin);
+
+ + +

+See Also +

+gp, gpfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gppak.htm b/sourcecodes/bnt-master/nethelp3.3/gppak.htm new file mode 100644 index 00000000..e913dd2c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gppak.htm @@ -0,0 +1,40 @@ + + + +Netlab Reference Manual gppak + + + +

gppak +

+

+Purpose +

+Combines GP hyperparameters into one vector. + +

+Synopsis +

+
+hp = gppak(net)
+
+ + +

+Description +

+hp = gppak(net) takes a Gaussian Process data structure net and +combines the hyperparameters into a single row vector hp. + +

+See Also +

+gp, gpunpak, gpfwd, gperr, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gpunpak.htm b/sourcecodes/bnt-master/nethelp3.3/gpunpak.htm new file mode 100644 index 00000000..593dbb04 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gpunpak.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual gpunpak + + + +

gpunpak +

+

+Purpose +

+Separates hyperparameter vector into components. + +

+Synopsis +

+
+net = gpunpak(net, hp)
+
+ + +

+Description +

+net = gpunpak(net, hp) takes an Gaussian Process data structure net and +a hyperparameter vector hp, and returns a Gaussian Process data structure +identical to +the input model, except that the covariance bias +bias, output noise noise, the input weight vector +inweights and the vector of covariance function specific parameters + fpar have all +been set to the corresponding elements of hp. + +

+See Also +

+gp, gppak, gpfwd, gperr, gpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gradchek.htm b/sourcecodes/bnt-master/nethelp3.3/gradchek.htm new file mode 100644 index 00000000..0a7df6ea --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gradchek.htm @@ -0,0 +1,58 @@ + + + +Netlab Reference Manual gradchek + + + +

gradchek +

+

+Purpose +

+Checks a user-defined gradient function using finite differences. + +

+Synopsis +

+
+
+gradchek(w, func, grad)
+[gradient, delta] = gradchek(w, func, grad)
+gradchek(w, func, grad, p1, p2, ...)
+
+ + +

+Description +

+This function is intended as a utility for other netlab functions +(particularly optimisation functions) to use. It enables the user +to check whether a gradient calculation has been correctly implmented +for a given function. +gradchek(w, func, grad) checks how accurate the gradient +grad of a function func is at a parameter vector x. +A central +difference formula with step size 1.0e-6 is used, and the results +for both gradient function and finite difference approximation are +printed. +The optional return value gradient is the gradient calculated +using the function grad and the return value delta is the +difference between the functional and finite difference methods of +calculating the graident. + +

gradchek(x, func, grad, p1, p2, ...) allows additional arguments +to be passed to func and grad. + +

+See Also +

+conjgrad, graddesc, hmc, olgd, quasinew, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/graddesc.htm b/sourcecodes/bnt-master/nethelp3.3/graddesc.htm new file mode 100644 index 00000000..fe8a3df1 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/graddesc.htm @@ -0,0 +1,104 @@ + + + +Netlab Reference Manual graddesc + + + +

graddesc +

+

+Purpose +

+Gradient descent optimization. + +

+Description +

+[x, options, flog, pointlog] = graddesc(f, x, options, gradf) uses +batch gradient descent to find a local minimum of the function +f(x) whose gradient is given by gradf(x). A log of the function values +after each cycle is (optionally) returned in errlog, and a log +of the points visited is (optionally) returned in pointlog. + +

Note that x is a row vector +and f returns a scalar value. +The point at which f has a local minimum +is returned as x. The function value at that point is returned +in options(8). + +

graddesc(f, x, options, gradf, p1, p2, ...) allows +additional arguments to be passed to f() and gradf(). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog, and the points visited +in the return argument pointslog. If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is the absolute precision required for the value +of x at the solution. If the absolute difference between +the values of x between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is a measure of the precision required of the objective +function at the solution. If the absolute difference between the +objective function values between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. + +

options(7) determines the line minimisation method used. If it +is set to 1 then a line minimiser is used (in the direction of the negative +gradient). If it is 0 (the default), then each parameter update +is a fixed multiple (the learning rate) +of the negative gradient added to a fixed multiple (the momentum) of +the previous parameter update. + +

options(9) should be set to 1 to check the user defined gradient +function gradf with gradchek. This is carried out at +the initial parameter vector x. + +

options(10) returns the total number of function evaluations (including +those in any line searches). + +

options(11) returns the total number of gradient evaluations. + +

options(14) is the maximum number of iterations; default 100. + +

options(15) is the precision in parameter space of the line search; +default foptions(2). + +

options(17) is the momentum; default 0.5. It should be scaled by the +inverse of the number of data points. + +

options(18) is the learning rate; default 0.01. It should be +scaled by the inverse of the number of data points. + +

+Examples +

+An example of how this function can be used to train a neural network is: +
+
+options = zeros(1, 18);
+options(17) = 0.1/size(x, 1);
+net = netopt(net, options, x, t, 'graddesc');
+
+ +Note how the learning rate is scaled by the number of data points. + +

+See Also +

+conjgrad, linemin, olgd, minbrack, quasinew, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gsamp.htm b/sourcecodes/bnt-master/nethelp3.3/gsamp.htm new file mode 100644 index 00000000..0f5e5ead --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gsamp.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual gsamp + + + +

gsamp +

+

+Purpose +

+Sample from a Gaussian distribution. + +

+Synopsis +

+
+x = gsamp(mu, covar, nsamp)
+
+ + +

+Description +

+ +

x = gsamp(mu, covar, nsamp) generates a sample of size nsamp +from a d-dimensional Gaussian distribution. The Gaussian density +has mean vector mu and covariance matrix covar, and the +matrix x has nsamp rows in which each row represents a +d-dimensional sample vector. + +

+See Also +

+gauss, demgauss
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtm.htm b/sourcecodes/bnt-master/nethelp3.3/gtm.htm new file mode 100644 index 00000000..e02ef536 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtm.htm @@ -0,0 +1,66 @@ + + + +Netlab Reference Manual gtm + + + +

gtm +

+

+Purpose +

+Create a Generative Topographic Map. + +

+Synopsis +

+
+net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc)
+net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc, prior)
+
+ + +

+Description +

+ +

net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc), +takes the dimension of the latent space dimlatent, the +number of data points sampled in the latent space nlatent, the +dimension of the data space dimdata, the number of centres in the +RBF model ncentres, the activation function for the RBF +rbfunc +and returns a data structure net. The parameters in the +RBF and GMM sub-models are set by calls to the corresponding creation routines +rbf and gmm. + +

The fields in net are +

+  type = 'gtm'
+  nin = dimension of data space
+  dimlatent = dimension of latent space
+  rbfnet = RBF network data structure
+  gmmnet = GMM data structure
+  X = sample of latent points
+
+ + +

net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc, prior), + sets a Gaussian zero mean prior on the +parameters of the RBF model. prior must be a scalar and represents +the inverse variance of the prior distribution. This gives rise to +a weight decay term in the error function. + +

+See Also +

+gtmfwd, gtmpost, rbf, gmm
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmem.htm b/sourcecodes/bnt-master/nethelp3.3/gtmem.htm new file mode 100644 index 00000000..95c385b1 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmem.htm @@ -0,0 +1,88 @@ + + + +Netlab Reference Manual gtmem + + + +

gtmem +

+

+Purpose +

+EM algorithm for Generative Topographic Mapping. + +

+Synopsis +

+
+
+[net, options, errlog] = gtmem(net, t, options)
+
+ + +

+Description +

+[net, options, errlog] = gtmem(net, t, options) uses the Expectation +Maximization algorithm to estimate the parameters of +a GTM defined by a data structure net. +The matrix t represents the data whose expectation +is maximized, with each row corresponding to a vector. It is assumed +that the latent data net.X has been set following a call to +gtminit, for example. + +The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog. +If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(3) is a measure of the absolute precision required of the error +function at the solution. If the change in log likelihood between two steps of +the EM algorithm is less than this value, then the function terminates. + +

options(14) is the maximum number of iterations; default 100. + +

The optional return value options contains the final error value +(i.e. data log likelihood) in +options(8). + +

+Examples +

+The following code fragment sets up a GTM, initialises +the latent data sample and RBF +parameters from the data, sets the options and trains the model. +
+
+% Create and initialise GTM model
+net = gtm(latentdim, nlatent, datadim, numrbfcentres, ...
+   'gaussian', 0.1);
+
+

options = foptions; +options(1) = -1; +options(7) = 1; % Set width factor of RBF +net = gtminit(net, options, data, 'regular', latentshape, [4 4]); + +

options = foptions; +options(14) = 30; +options(1) = 1; +[net, options] = gtmem(net, data, options); +

+ + +

+See Also +

+gtm, gtminit
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmfwd.htm b/sourcecodes/bnt-master/nethelp3.3/gtmfwd.htm new file mode 100644 index 00000000..2ba02a35 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmfwd.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual gtmfwd + + + +

gtmfwd +

+

+Purpose +

+Forward propagation through GTM. + +

+Synopsis +

+
+mix = gtmfwd(net)
+
+ + +

+Description +

+ +mix = gtmfwd(net) takes a GTM +structure net, and forward +propagates the latent data sample net.X through the GTM to generate +the structure +mix which represents the Gaussian mixture model in data space. + +

+See Also +

+gtm
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtminit.htm b/sourcecodes/bnt-master/nethelp3.3/gtminit.htm new file mode 100644 index 00000000..8ac58331 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtminit.htm @@ -0,0 +1,66 @@ + + + +Netlab Reference Manual gtminit + + + +

gtminit +

+

+Purpose +

+Initialise the weights and latent sample in a GTM. + +

+Synopsis +

+
+net = gtminit(net, options, data, samptype)
+net = gtminit(net, options, data, samptype, lsampsize, rbfsampsize)
+
+ + +

+Description +

+net = gtminit(net, options, data, samptype) takes a GTM net +and generates a sample of latent data points and sets the centres (and +widths if appropriate) of +net.rbfnet. + +

If the samptype is 'regular', then regular grids of latent +data points and RBF centres are created. The dimension of the latent data +space must be +1 or 2. For one-dimensional latent space, the lsampsize parameter +gives the number of latent points and the rbfsampsize parameter +gives the number of RBF centres. For a two-dimensional latent space, +these parameters must be vectors of length 2 with the number of points +in each of the x and y directions to create a rectangular grid. The +widths of the RBF basis functions are set by a call to rbfsetfw +passing options(7) as the scaling parameter. + +

If the samptype is 'uniform' or 'gaussian' then the +latent data is found by sampling from a uniform or +Gaussian distribution correspondingly. The RBF basis function parameters +are set +by a call to rbfsetbf with the data parameter +as dataset and the options vector. + +

Finally, the output layer weights of the RBF are initialised by +mapping the mean of the latent variable to the mean of the target variable, +and the L-dimensional latent variale variance to the variance of the +targets along the first L principal components. + +

+See Also +

+gtm, gtmem, pca, rbfsetbf, rbfsetfw
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmlmean.htm b/sourcecodes/bnt-master/nethelp3.3/gtmlmean.htm new file mode 100644 index 00000000..1736c0ed --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmlmean.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual gtmlmean + + + +

gtmlmean +

+

+Purpose +

+Mean responsibility for data in a GTM. + +

+Synopsis +

+
+means = gtmlmean(net, data)
+
+ + +

+Description +

+ +means = gtmlmean(net, data) takes a GTM +structure net, and computes the means of the responsibility +distributions for each data point in data. + +

+See Also +

+gtm, gtmpost, gtmlmode
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmlmode.htm b/sourcecodes/bnt-master/nethelp3.3/gtmlmode.htm new file mode 100644 index 00000000..ab37c6ff --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmlmode.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual gtmlmode + + + +

gtmlmode +

+

+Purpose +

+Mode responsibility for data in a GTM. + +

+Synopsis +

+
+modes = gtmlmode(net, data)
+
+ + +

+Description +

+ +modes = gtmlmode(net, data) takes a GTM +structure net, and computes the modes of the responsibility +distributions for each data point in data. These will always lie +at one of the latent space sample points net.X. + +

+See Also +

+gtm, gtmpost, gtmlmean
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmmag.htm b/sourcecodes/bnt-master/nethelp3.3/gtmmag.htm new file mode 100644 index 00000000..f8590da7 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmmag.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual gtmmag + + + +

gtmmag +

+

+Purpose +

+Magnification factors for a GTM + +

+Synopsis +

+
+mags = gtmmag(net, latentdata)
+
+ + +

+Description +

+ +mags = gtmmag(net, latentdata) takes a GTM +structure net, and computes the magnification factors +for each point the latent space contained in latentdata. + +

+See Also +

+gtm, gtmpost, gtmlmean
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmpost.htm b/sourcecodes/bnt-master/nethelp3.3/gtmpost.htm new file mode 100644 index 00000000..a64ce88a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmpost.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual gtmpost + + + +

gtmpost +

+

+Purpose +

+Latent space responsibility for data in a GTM. + +

+Synopsis +

+
+post = gtmpost(net, data)
+[post, a] = gtmpost(net, data)
+
+ + +

+Description +

+ +post = gtmpost(net, data) takes a GTM +structure net, and computes the responsibility at each latent space +sample point net.X +for each data point in data. + +

[post, a] = gtmpost(net, data) also returns the activations +a of the GMM net.gmmnet as computed by gmmpost. + +

+See Also +

+gtm, gtmem, gtmlmean, gmlmode, gmmprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/gtmprob.htm b/sourcecodes/bnt-master/nethelp3.3/gtmprob.htm new file mode 100644 index 00000000..d3a44e30 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/gtmprob.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual gtmprob + + + +

gtmprob +

+

+Purpose +

+Probability for data under a GTM. + +

+Synopsis +

+
+prob = gtmprob(net, data)
+
+ + +

+Description +

+ +prob = gtmprob(net, data) takes a GTM +structure net, and computes the probability of each point in the +dataset data. + +

+See Also +

+gtm, gtmem, gtmlmean, gtmlmode, gtmpost
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/hbayes.htm b/sourcecodes/bnt-master/nethelp3.3/hbayes.htm new file mode 100644 index 00000000..5fa0783d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/hbayes.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual hbayes + + + +

hbayes +

+

+Purpose +

+Evaluate Hessian of Bayesian error function for network. + +

+Synopsis +

+
+h = hbayes(net, hdata)
+[h, hdata] = hbayes(net, hdata)
+
+ + +

+Description +

+h = hbayes(net, hdata) takes a network data structure net together +the data contribution to the Hessian +for a set of inputs and targets. +It returns the regularised Hessian using any zero mean Gaussian priors +on the weights defined in +net. In addition, if a mask is defined in net, then +the entries in h that correspond to weights with a 0 in the +mask are removed. + +

[h, hdata] = hbayes(net, hdata) additionally returns the +data component of the Hessian. + +

+See Also +

+gbayes, glmhess, mlphess, rbfhess
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/hesschek.htm b/sourcecodes/bnt-master/nethelp3.3/hesschek.htm new file mode 100644 index 00000000..34a4f591 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/hesschek.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual hesschek + + + +

hesschek +

+

+Purpose +

+Use central differences to confirm correct evaluation of Hessian matrix. + +

+Synopsis +

+
+hesschek(net, x, t)
+h = hesschek(net, x, t)
+ + +

+Description +

+ +

hesschek(net, x, t) takes a network data structure net, together +with input and target data matrices x and t, and compares +the evaluation of the Hessian matrix using the function nethess +and using central differences with the function neterr. + +

The optional return value h is the Hessian computed using +nethess. + +

+See Also +

+nethess, neterr
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/hintmat.htm b/sourcecodes/bnt-master/nethelp3.3/hintmat.htm new file mode 100644 index 00000000..5363385d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/hintmat.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual hintmat + + + +

hintmat +

+

+Purpose +

+Evaluates the coordinates of the patches for a Hinton diagram. + +

+Synopsis +

+
+[xvals, yvals, color] = hintmat(w)
+ + +

+Description +

+
+[xvals, yvals, color] = hintmat(w)
+ +takes a matrix w and +returns coordinates xvals, yvals for the patches comrising the +Hinton diagram, together with a vector color labelling the color +(black or white) of the corresponding elements according to their +sign. + +

+See Also +

+hinton
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/hinton.htm b/sourcecodes/bnt-master/nethelp3.3/hinton.htm new file mode 100644 index 00000000..570f3fb0 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/hinton.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual hinton + + + +

hinton +

+

+Purpose +

+Plot Hinton diagram for a weight matrix. + +

+Synopsis +

+
+hinton(w)
+h = hinton(w)
+ + +

+Description +

+ +

hinton(w) takes a matrix w +and plots the Hinton diagram. + +

h = hinton(net) also returns the figure handle h +which can be used, for instance, to delete the +figure when it is no longer needed. + +

To print the figure correctly in black and white, you should call +set(h, 'InvertHardCopy', 'off') before printing. + +

+See Also +

+demhint, hintmat, mlphint
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/histp.htm b/sourcecodes/bnt-master/nethelp3.3/histp.htm new file mode 100644 index 00000000..fd1fa111 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/histp.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual histp + + + +

histp +

+

+Purpose +

+Histogram estimate of 1-dimensional probability distribution. + +

+Synopsis +

+
+h = histp(x, xmin, xmax, nbins)
+
+ + +

+Description +

+ +

histp(x, xmin, xmax, nbins) takes a column vector x +of data values and generates a normalized histogram plot of the +distribution. The histogram has nbins bins lying in the +range xmin to xmax. + +

h = histp(...) returns a vector of patch handles. + +

+See Also +

+demgauss
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/hmc.htm b/sourcecodes/bnt-master/nethelp3.3/hmc.htm new file mode 100644 index 00000000..53afeb31 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/hmc.htm @@ -0,0 +1,129 @@ + + + +Netlab Reference Manual hmc + + + +

hmc +

+

+Purpose +

+Hybrid Monte Carlo sampling. + +

+Synopsis +

+
+
+samples = hmc(f, x, options, gradf)
+samples = hmc(f, x, options, gradf, P1, P2, ...)
+[samples, energies, diagn] = hmc(f, x, options, gradf)
+s = hmc('state')
+hmc('state', s)
+
+ + +

+Description +

+samples = hmc(f, x, options, gradf) uses a +hybrid Monte Carlo algorithm to sample from the distribution p ~ exp(-f), +where f is the first argument to hmc. +The Markov chain starts at the point x, and the function gradf +is the gradient of the `energy' function f. + +

hmc(f, x, options, gradf, p1, p2, ...) allows +additional arguments to be passed to f() and gradf(). + +

[samples, energies, diagn] = hmc(f, x, options, gradf) also returns +a log of the energy values (i.e. negative log probabilities) for the +samples in energies and diagn, a structure containing +diagnostic information (position, momentum and +acceptance threshold) for each step of the chain in diagn.pos, +diagn.mom and +diagn.acc respectively. All candidate states (including rejected ones) +are stored in diagn.pos. + +

[samples, energies, diagn] = hmc(f, x, options, gradf) also returns the +energies (i.e. negative log probabilities) corresponding to the samples. +The diagn structure contains three fields: + +

pos the position vectors of the dynamic process. + +

mom the momentum vectors of the dynamic process. + +

acc the acceptance thresholds. + +

s = hmc('state') returns a state structure that contains the state of the +two random number generators rand and randn and the momentum of +the dynamic process. These are contained in fields +randstate, randnstate +and mom respectively. The momentum state is +only used for a persistent momentum update. + +

hmc('state', s) resets the state to s. If s is an integer, +then it is passed to rand and randn and the momentum variable +is randomised. If s is a structure returned by hmc('state') then +it resets the generator to exactly the same state. + +

The optional parameters in the options vector have the following +interpretations. + +

options(1) is set to 1 to display the energy values and rejection +threshold at each step of the Markov chain. If the value is 2, then the +position vectors at each step are also displayed. + +

options(5) is set to 1 if momentum persistence is used; default 0, for +complete replacement of momentum variables. + +

options(7) defines the trajectory length (i.e. the number of leap-frog +steps at each iteration). Minimum value 1. + +

options(9) is set to 1 to check the user defined gradient function. + +

options(14) is the number of samples retained from the Markov chain; +default 100. + +

options(15) is the number of samples omitted from the start of the +chain; default 0. + +

options(17) defines the momentum used when a persistent update of +(leap-frog) momentum is used. This is bounded to the interval [0, 1). + +

options(18) is the step size used in leap-frogs; default 1/trajectory +length. + +

+Examples +

+The following code fragment samples from the posterior distribution of +weights for a neural network. +
+
+w = mlppak(net);
+[samples, energies] = hmc('neterr', w, options, 'netgrad', net, x, t);
+
+ + +

+Algorithm +

+ +The algroithm follows the procedure outlined in Radford Neal's technical +report CRG-TR-93-1 from the University of Toronto. The stochastic update of +momenta samples from a zero mean unit covariance gaussian. + +

+See Also +

+metrop
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/index.htm b/sourcecodes/bnt-master/nethelp3.3/index.htm new file mode 100644 index 00000000..816e24eb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/index.htm @@ -0,0 +1,537 @@ + + + +NETLAB Reference Documentation + + + +

NETLAB Online Reference Documentation

+Welcome to the NETLAB online reference documentation. +The NETLAB simulation software is designed to provide all the tools necessary +for principled and theoretically well founded application development. The +NETLAB library is based on the approach and techniques described in Neural +Networks for Pattern Recognition (Bishop, 1995). The library includes software +implementations of a wide range of data analysis techniques, many of which are +not widely available, and are rarely, if ever, included in standard neural +network simulation packages. +

The online reference documentation provides direct hypertext links to specific Netlab function descriptions. +

If you have any comments or problems to report, please contact Ian Nabney (i.t.nabney@aston.ac.uk) or Christopher Bishop (c.m.bishop@aston.ac.uk).

Index +

+An alphabetic list of functions in Netlab.

+

+
+conffig
+ Display a confusion matrix. +
+confmat
+ Compute a confusion matrix. +
+conjgrad
+ Conjugate gradients optimization. +
+consist
+ Check that arguments are consistent. +
+convertoldnet
+ Convert pre-2.3 release MLP and MDN nets to new format +
+datread
+ Read data from an ascii file. +
+datwrite
+ Write data to ascii file. +
+dem2ddat
+ Generates two dimensional data for demos. +
+demard
+ Automatic relevance determination using the MLP. +
+demev1
+ Demonstrate Bayesian regression for the MLP. +
+demev2
+ Demonstrate Bayesian classification for the MLP. +
+demev3
+ Demonstrate Bayesian regression for the RBF. +
+demgauss
+ Demonstrate sampling from Gaussian distributions. +
+demglm1
+ Demonstrate simple classification using a generalized linear model. +
+demglm2
+ Demonstrate simple classification using a generalized linear model. +
+demgmm1
+ Demonstrate density modelling with a Gaussian mixture model. +
+demgmm3
+ Demonstrate density modelling with a Gaussian mixture model. +
+demgmm4
+ Demonstrate density modelling with a Gaussian mixture model. +
+demgmm5
+ Demonstrate density modelling with a PPCA mixture model. +
+demgp
+ Demonstrate simple regression using a Gaussian Process. +
+demgpard
+ Demonstrate ARD using a Gaussian Process. +
+demgpot
+ Computes the gradient of the negative log likelihood for a mixture model. +
+demgtm1
+ Demonstrate EM for GTM. +
+demgtm2
+ Demonstrate GTM for visualisation. +
+demhint
+ Demonstration of Hinton diagram for 2-layer feed-forward network. +
+demhmc1
+ Demonstrate Hybrid Monte Carlo sampling on mixture of two Gaussians. +
+demhmc2
+ Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +
+demhmc3
+ Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +
+demkmean
+ Demonstrate simple clustering model trained with K-means. +
+demknn1
+ Demonstrate nearest neighbour classifier. +
+demmdn1
+ Demonstrate fitting a multi-valued function using a Mixture Density Network. +
+demmet1
+ Demonstrate Markov Chain Monte Carlo sampling on a Gaussian. +
+demmlp1
+ Demonstrate simple regression using a multi-layer perceptron +
+demmlp2
+ Demonstrate simple classification using a multi-layer perceptron +
+demnlab
+ A front-end Graphical User Interface to the demos +
+demns1
+ Demonstrate Neuroscale for visualisation. +
+demolgd1
+ Demonstrate simple MLP optimisation with on-line gradient descent +
+demopt1
+ Demonstrate different optimisers on Rosenbrock's function. +
+dempot
+ Computes the negative log likelihood for a mixture model. +
+demprgp
+ Demonstrate sampling from a Gaussian Process prior. +
+demprior
+ Demonstrate sampling from a multi-parameter Gaussian prior. +
+demrbf1
+ Demonstrate simple regression using a radial basis function network. +
+demsom1
+ Demonstrate SOM for visualisation. +
+demtrain
+ Demonstrate training of MLP network. +
+dist2
+ Calculates squared distance between two sets of points. +
+eigdec
+ Sorted eigendecomposition +
+errbayes
+ Evaluate Bayesian error function for network. +
+evidence
+ Re-estimate hyperparameters using evidence approximation. +
+fevbayes
+ Evaluate Bayesian regularisation for network forward propagation. +
+gauss
+ Evaluate a Gaussian distribution. +
+gbayes
+ Evaluate gradient of Bayesian error function for network. +
+glm
+ Create a generalized linear model. +
+glmderiv
+ Evaluate derivatives of GLM outputs with respect to weights. +
+glmerr
+ Evaluate error function for generalized linear model. +
+glmevfwd
+ Forward propagation with evidence for GLM +
+glmfwd
+ Forward propagation through generalized linear model. +
+glmgrad
+ Evaluate gradient of error function for generalized linear model. +
+glmhess
+ Evaluate the Hessian matrix for a generalised linear model. +
+glminit
+ Initialise the weights in a generalized linear model. +
+glmpak
+ Combines weights and biases into one weights vector. +
+glmtrain
+ Specialised training of generalized linear model +
+glmunpak
+ Separates weights vector into weight and bias matrices. +
+gmm
+ Creates a Gaussian mixture model with specified architecture. +
+gmmactiv
+ Computes the activations of a Gaussian mixture model. +
+gmmem
+ EM algorithm for Gaussian mixture model. +
+gmminit
+ Initialises Gaussian mixture model from data +
+gmmpak
+ Combines all the parameters in a Gaussian mixture model into one vector. +
+gmmpost
+ Computes the class posterior probabilities of a Gaussian mixture model. +
+gmmprob
+ Computes the data probability for a Gaussian mixture model. +
+gmmsamp
+ Sample from a Gaussian mixture distribution. +
+gmmunpak
+ Separates a vector of Gaussian mixture model parameters into its components. +
+gp
+ Create a Gaussian Process. +
+gpcovar
+ Calculate the covariance for a Gaussian Process. +
+gpcovarf
+ Calculate the covariance function for a Gaussian Process. +
+gpcovarp
+ Calculate the prior covariance for a Gaussian Process. +
+gperr
+ Evaluate error function for Gaussian Process. +
+gpfwd
+ Forward propagation through Gaussian Process. +
+gpgrad
+ Evaluate error gradient for Gaussian Process. +
+gpinit
+ Initialise Gaussian Process model. +
+gppak
+ Combines GP hyperparameters into one vector. +
+gpunpak
+ Separates hyperparameter vector into components. +
+gradchek
+ Checks a user-defined gradient function using finite differences. +
+graddesc
+ Gradient descent optimization. +
+gsamp
+ Sample from a Gaussian distribution. +
+gtm
+ Create a Generative Topographic Map. +
+gtmem
+ EM algorithm for Generative Topographic Mapping. +
+gtmfwd
+ Forward propagation through GTM. +
+gtminit
+ Initialise the weights and latent sample in a GTM. +
+gtmlmean
+ Mean responsibility for data in a GTM. +
+gtmlmode
+ Mode responsibility for data in a GTM. +
+gtmmag
+ Magnification factors for a GTM +
+gtmpost
+ Latent space responsibility for data in a GTM. +
+gtmprob
+ Probability for data under a GTM. +
+hbayes
+ Evaluate Hessian of Bayesian error function for network. +
+hesschek
+ Use central differences to confirm correct evaluation of Hessian matrix. +
+hintmat
+ Evaluates the coordinates of the patches for a Hinton diagram. +
+hinton
+ Plot Hinton diagram for a weight matrix. +
+histp
+ Histogram estimate of 1-dimensional probability distribution. +
+hmc
+ Hybrid Monte Carlo sampling. +
+kmeans
+ Trains a k means cluster model. +
+knn
+ Creates a K-nearest-neighbour classifier. +
+knnfwd
+ Forward propagation through a K-nearest-neighbour classifier. +
+linef
+ Calculate function value along a line. +
+linemin
+ One dimensional minimization. +
+maxitmess
+ Create a standard error message when training reaches max. iterations. +
+mdn
+ Creates a Mixture Density Network with specified architecture. +
+mdn2gmm
+ Converts an MDN mixture data structure to array of GMMs. +
+mdndist2
+ Calculates squared distance between centres of Gaussian kernels and data +
+mdnerr
+ Evaluate error function for Mixture Density Network. +
+mdnfwd
+ Forward propagation through Mixture Density Network. +
+mdngrad
+ Evaluate gradient of error function for Mixture Density Network. +
+mdninit
+ Initialise the weights in a Mixture Density Network. +
+mdnpak
+ Combines weights and biases into one weights vector. +
+mdnpost
+ Computes the posterior probability for each MDN mixture component. +
+mdnprob
+ Computes the data probability likelihood for an MDN mixture structure. +
+mdnunpak
+ Separates weights vector into weight and bias matrices. +
+metrop
+ Markov Chain Monte Carlo sampling with Metropolis algorithm. +
+minbrack
+ Bracket a minimum of a function of one variable. +
+mlp
+ Create a 2-layer feedforward network. +
+mlpbkp
+ Backpropagate gradient of error function for 2-layer network. +
+mlpderiv
+ Evaluate derivatives of network outputs with respect to weights. +
+mlperr
+ Evaluate error function for 2-layer network. +
+mlpevfwd
+ Forward propagation with evidence for MLP +
+mlpfwd
+ Forward propagation through 2-layer network. +
+mlpgrad
+ Evaluate gradient of error function for 2-layer network. +
+mlphdotv
+ Evaluate the product of the data Hessian with a vector. +
+mlphess
+ Evaluate the Hessian matrix for a multi-layer perceptron network. +
+mlphint
+ Plot Hinton diagram for 2-layer feed-forward network. +
+mlpinit
+ Initialise the weights in a 2-layer feedforward network. +
+mlppak
+ Combines weights and biases into one weights vector. +
+mlpprior
+ Create Gaussian prior for mlp. +
+mlptrain
+ Utility to train an MLP network for demtrain +
+mlpunpak
+ Separates weights vector into weight and bias matrices. +
+netderiv
+ Evaluate derivatives of network outputs by weights generically. +
+neterr
+ Evaluate network error function for generic optimizers +
+netevfwd
+ Generic forward propagation with evidence for network +
+netgrad
+ Evaluate network error gradient for generic optimizers +
+nethess
+ Evaluate network Hessian +
+netinit
+ Initialise the weights in a network. +
+netopt
+ Optimize the weights in a network model. +
+netpak
+ Combines weights and biases into one weights vector. +
+netunpak
+ Separates weights vector into weight and bias matrices. +
+olgd
+ On-line gradient descent optimization. +
+pca
+ Principal Components Analysis +
+plotmat
+ Display a matrix. +
+ppca
+ Probabilistic Principal Components Analysis +
+quasinew
+ Quasi-Newton optimization. +
+rbf
+ Creates an RBF network with specified architecture +
+rbfbkp
+ Backpropagate gradient of error function for RBF network. +
+rbfderiv
+ Evaluate derivatives of RBF network outputs with respect to weights. +
+rbferr
+ Evaluate error function for RBF network. +
+rbfevfwd
+ Forward propagation with evidence for RBF +
+rbffwd
+ Forward propagation through RBF network with linear outputs. +
+rbfgrad
+ Evaluate gradient of error function for RBF network. +
+rbfhess
+ Evaluate the Hessian matrix for RBF network. +
+rbfjacob
+ Evaluate derivatives of RBF network outputs with respect to inputs. +
+rbfpak
+ Combines all the parameters in an RBF network into one weights vector. +
+rbfprior
+ Create Gaussian prior and output layer mask for RBF. +
+rbfsetbf
+ Set basis functions of RBF from data. +
+rbfsetfw
+ Set basis function widths of RBF. +
+rbftrain
+ Two stage training of RBF network. +
+rbfunpak
+ Separates a vector of RBF weights into its components. +
+rosegrad
+ Calculate gradient of Rosenbrock's function. +
+rosen
+ Calculate Rosenbrock's function. +
+scg
+ Scaled conjugate gradient optimization. +
+som
+ Creates a Self-Organising Map. +
+somfwd
+ Forward propagation through a Self-Organising Map. +
+sompak
+ Combines node weights into one weights matrix. +
+somtrain
+ Kohonen training algorithm for SOM. +
+somunpak
+ Replaces node weights in SOM. +
+ +
+

Copyright (c) Christopher M Bishop, Ian T Nabney (1996, 1997) + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/kmeans.htm b/sourcecodes/bnt-master/nethelp3.3/kmeans.htm new file mode 100644 index 00000000..092e51d3 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/kmeans.htm @@ -0,0 +1,89 @@ + + + +Netlab Reference Manual kmeans + + + +

kmeans +

+

+Purpose +

+Trains a k means cluster model. + +

+Synopsis +

+
+centres = kmeans(centres, data, options)
+[centres, options] = kmeans(centres, data, options)
+[centres, options, post, errlog] = kmeans(centres, data, options)
+
+ + +

+Description +

+ +centres = kmeans(centres, data, options) +uses the batch K-means algorithm to set the centres of a cluster model. +The matrix data represents the data +which is being clustered, with each row corresponding to a vector. +The sum of squares error function is used. The point at which +a local minimum is achieved is returned as centres. The +error value at that point is returned in options(8). + +

[centres, options, post, errlog] = kmeans(centres, data, options) +also returns the cluster number (in a one-of-N encoding) for each data +point in post and a log of the error values after each cycle in +errlog. + +The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog. +If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is a measure of the absolute precision required for the value +of centres at the solution. If the absolute difference between +the values of centres between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is a measure of the precision required of the error +function at the solution. If the absolute difference between the +error functions between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. + +

options(14) is the maximum number of iterations; default 100. + +

+Example +

+kmeans can be used to initialise the centres of a Gaussian +mixture model that is then trained with the EM algorithm. +
+
+[priors, centres, var] = gmmunpak(p, md);
+centres = kmeans(centres, data, options);
+p = gmmpak(priors, centres, var);
+p = gmmem(p, md, data, options);
+
+ + +

+See Also +

+gmminit, gmmem
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/knn.htm b/sourcecodes/bnt-master/nethelp3.3/knn.htm new file mode 100644 index 00000000..31f032bc --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/knn.htm @@ -0,0 +1,54 @@ + + + +Netlab Reference Manual knn + + + +

knn +

+

+Purpose +

+Creates a K-nearest-neighbour classifier. + +

+Synopsis +

+
+
+net = knn(nin, nout, k, tr_in, tr_targets)
+
+ + +

+Description +

+net = knn(nin, nout, k, tr_in, tr_targets) creates a KNN model net +with input dimension nin, output dimension nout and k +neighbours. The training data is also stored in the data structure and the +targets are assumed to be using a 1-of-N coding. + +

The fields in net are +

+
+  type = 'knn'
+  nin = number of inputs
+  nout = number of outputs
+  tr_in = training input data
+  tr_targets = training target data
+
+ + +

+See Also +

+kmeans, knnfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/knnfwd.htm b/sourcecodes/bnt-master/nethelp3.3/knnfwd.htm new file mode 100644 index 00000000..6670920f --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/knnfwd.htm @@ -0,0 +1,66 @@ + + + +Netlab Reference Manual knnfwd + + + +

knnfwd +

+

+Purpose +

+Forward propagation through a K-nearest-neighbour classifier. + +

+Synopsis +

+
+
+[y, l] = knnfwd(net, x)
+
+ + +

+Description +

+[y, l] = knnfwd(net, x) takes a matrix x +of input vectors (one vector per row) + and uses the k-nearest-neighbour rule on the training data contained +in net to +produce +a matrix y of outputs and a matrix l of classification +labels. +The nearest neighbours are determined using Euclidean distance. +The ijth entry of y counts the number of occurrences that +an example from class j is among the k closest training +examples to example i from x. +The matrix l contains the predicted class labels +as an index 1..N, not as 1-of-N coding. + +

+Example +

+
+
+net = knn(size(xtrain, 2), size(t_train, 2), 3, xtrain, t_train);
+y = knnfwd(net, xtest);
+conffig(y, t_test);
+
+ +Creates a 3 nearest neighbour model net and then applies it to +the data xtest. The results are plotted as a confusion matrix with +conffig. + +

+See Also +

+kmeans, knn
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/linef.htm b/sourcecodes/bnt-master/nethelp3.3/linef.htm new file mode 100644 index 00000000..c6eb9188 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/linef.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual linef + + + +

linef +

+

+Purpose +

+Calculate function value along a line. + +

+Description +

+linef(lambda, fn, x, d) calculates the value of the function +fn at the point x+lambda*d. Here x is a row vector +and lambda is a scalar. + +

linef(lambda, fn, x, d, p1, p2, ...) allows additional +arguments to be passed to fn(). +This function is used for convenience in some of the optimisation routines. + +

+Examples +

+An example of +the use of this function can be found in the function linemin. + +

+See Also +

+gradchek, linemin
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/linemin.htm b/sourcecodes/bnt-master/nethelp3.3/linemin.htm new file mode 100644 index 00000000..e4d7a8b9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/linemin.htm @@ -0,0 +1,74 @@ + + + +Netlab Reference Manual linemin + + + +

linemin +

+

+Purpose +

+One dimensional minimization. + +

+Description +

+[x, options] = linemin(f, pt, dir, fpt, options) uses Brent's +algorithm to find the minimum of the function f(x) along the +line dir through the point pt. The function value at the +starting point is fpt. The point at which f has a local minimum +is returned as x. The function value at that point is returned +in options(8). + +

linemin(f, pt, dir, fpt, options, p1, p2, ...) allows +additional arguments to be passed to f(). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values. + +

options(2) is a measure of the absolute precision required for the value +of x at the solution. + +

options(3) is a measure of the precision required of the objective +function at the solution. Both this and the previous condition must be +satisfied for termination. + +

options(14) is the maximum number of iterations; default 100. + +

+Examples +

+An example of the use of this function to find the minimum of a function +f in the direction sd can be found in conjgrad +
+
+x = linemin(f, xold, sd, fold, lineoptions);
+
+ + +

+Algorithm +

+ +Brent's algorithm uses a mixture of quadratic interpolation and golden +section search to find the minimum of a function of a single variable once +it has been bracketed (which is done with minbrack). This is adapted +to minimize a function along a line. +This implementation +is based on that in Numerical Recipes. + +

+See Also +

+conjgrad, minbrack, quasinew
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/maxitmess.htm b/sourcecodes/bnt-master/nethelp3.3/maxitmess.htm new file mode 100644 index 00000000..a42b1f8b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/maxitmess.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual maxitmess + + + +

maxitmess +

+

+Purpose +

+Create a standard error message when training reaches max. iterations. + +

+Synopsis +

+
+s = maxitmess
+
+ + +

+Description +

+s = maxitmess returns a standard string that it used by training +algorithms when the maximum number of iterations (as specified in +options(14) is reached. + +

+See Also +

+conjgrad, glmtrain, gmmem, graddesc, gtmem, kmeans, olgd, quasinew, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdn.htm b/sourcecodes/bnt-master/nethelp3.3/mdn.htm new file mode 100644 index 00000000..5e5b83a8 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdn.htm @@ -0,0 +1,84 @@ + + + +Netlab Reference Manual mdn + + + +

mdn +

+

+Purpose +

+Creates a Mixture Density Network with specified architecture. + +

+Synopsis +

+
+net = mdn(nin, nhidden, ncentres, dimtarget)
+net = mdn(nin, nhidden, ncentres, dimtarget, mixtype, ...
+	prior, beta)
+
+ + +

+Description +

+net = mdn(nin, nhidden, ncentres, dimtarget) takes the number of +inputs, +hidden units for a 2-layer feed-forward +network and the number of centres and target dimension for the +mixture model whose parameters are set from the outputs of the neural network. +The fifth argument mixtype is used to define the type of mixture +model. (Currently there is only one type supported: a mixture of Gaussians with +a single covariance parameter for each component.) For this model, +the mixture coefficients are computed from a group of softmax outputs, +the centres are equal to a group of linear outputs, and the variances are +obtained by applying the exponential function to a third group of outputs. + +

The network is initialised by a call to mlp, and the arguments +prior, and beta have the same role as for that function. +Weight initialisation uses the Matlab function randn + and so the seed for the random weight initialization can be +set using randn('state', s) where s is the seed value. +A specialised data structure (rather than gmm) +is used for the mixture model outputs to improve +the efficiency of error and gradient calculations in network training. +The fields are described in mdnfwd where they are set up. + +

The fields in net are +

+  
+  type = 'mdn'
+  nin = number of input variables
+  nout = dimension of target space (not number of network outputs)
+  nwts = total number of weights and biases
+  mdnmixes = data structure for mixture model output
+  mlp = data structure for MLP network
+
+ + +

+Example +

+
+
+net = mdn(2, 4, 3, 1, 'spherical');
+
+ +This creates a Mixture Density Network with 2 inputs and 4 hidden units. +The mixture model has 3 components and the target space has dimension 1. + +

+See Also +

+mdnfwd, mdnerr, mdn2gmm, mdngrad, mdnpak, mdnunpak, mlp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdn2gmm.htm b/sourcecodes/bnt-master/nethelp3.3/mdn2gmm.htm new file mode 100644 index 00000000..51369a50 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdn2gmm.htm @@ -0,0 +1,58 @@ + + + +Netlab Reference Manual mdn2gmm + + + +

mdn2gmm +

+

+Purpose +

+Converts an MDN mixture data structure to array of GMMs. + +

+Synopsis +

+
+gmmmixes = mdn2gmm(mdnmixes)
+
+ + +

+Description +

+gmmmixes = mdn2gmm(mdnmixes) takes an MDN mixture data structure +mdnmixes +containing three matrices (for priors, centres and variances) where each +row represents the corresponding parameter values for a different mixture model +and creates an array of GMMs. These can then be used with the standard +Netlab Gaussian mixture model functions. + +

+Example +

+
+
+mdnmixes = mdnfwd(net, x);
+mixes = mdn2gmm(mdnmixes);
+p = gmmprob(mixes(1), y);
+
+ +This creates an array GMM mixture models (one for each data point in +x). The vector p is then filled with the conditional +probabilities of the values y given x(1,:). + +

+See Also +

+gmm, mdn, mdnfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdndist2.htm b/sourcecodes/bnt-master/nethelp3.3/mdndist2.htm new file mode 100644 index 00000000..76713ae4 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdndist2.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual mdndist2 + + + +

mdndist2 +

+

+Purpose +

+Calculates squared distance between centres of Gaussian kernels and data + +

+Synopsis +

+
+n2 = mdndist2(mixparams, t)
+
+ + +

+Description +

+n2 = mdndist2(mixparams, t) takes takes the centres of the Gaussian +contained in + mixparams and the target data matrix, t, and computes the squared +Euclidean distance between them. If t has m rows and n +columns, then the centres field in +the mixparams structure should have m rows and +n*mixparams.ncentres columns: the centres in each row relate to +the corresponding row in t. +The result has m rows and mixparams.ncentres columns. +The i, jth entry is the +squared distance from the ith row of x to the jth +centre in the ith row of mixparams.centres. + +

+See Also +

+mdnfwd, mdnprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnerr.htm b/sourcecodes/bnt-master/nethelp3.3/mdnerr.htm new file mode 100644 index 00000000..41d2f260 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnerr.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual mdnerr + + + +

mdnerr +

+

+Purpose +

+Evaluate error function for Mixture Density Network. + +

+Synopsis +

+
+e = mdnerr(net, x, t)
+
+ + +

+Description +

+ +e = mdnerr(net, x, t) takes a mixture density network data +structure net, a matrix x of input vectors and a matrix +t of target vectors, and evaluates the error function +e. The error function is the negative log likelihood of the +target data under the conditional density given by the mixture model +parameterised by the MLP. Each row of x corresponds to one +input vector and each row of t corresponds to one target vector. + +

+See Also +

+mdn, mdnfwd, mdngrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnfwd.htm b/sourcecodes/bnt-master/nethelp3.3/mdnfwd.htm new file mode 100644 index 00000000..67c5c5d3 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnfwd.htm @@ -0,0 +1,71 @@ + + + +Netlab Reference Manual mdnfwd + + + +

mdnfwd +

+

+Purpose +

+Forward propagation through Mixture Density Network. + +

+Synopsis +

+
+mixparams = mdnfwd(net, x)
+[mixparams, y, z] = mdnfwd(net, x)
+[mixparams, y, z, a] = mdnfwd(net, x)
+
+ + +

+Description +

+ +mixparams = mdnfwd(net, x) takes a mixture density network data +structure net and a matrix x of input vectors, and forward +propagates the inputs through the network to generate a structure +mixparams which contains the parameters of several mixture models. +Each row of x represents +one input vector and the corresponding row of the matrices in mixparams +represents the parameters of a mixture model for the conditional probability +of target vectors given the input vector. This is not represented as an array +of gmm structures to improve the efficiency of MDN training. + +

The fields in mixparams are +

+
+  type = 'mdnmixes'
+  ncentres = number of mixture components
+  dimtarget = dimension of target space
+  mixcoeffs = mixing coefficients
+  centres = means of Gaussians: stored as one row per pattern
+  covars = covariances of Gaussians
+  nparams = number of parameters
+
+ + +

[mixparams, y, z] = mdnfwd(net, x) also generates a matrix y of +the outputs of the MLP and a matrix z of the hidden +unit activations where each row corresponds to one pattern. + +

[mixparams, y, z, a] = mlpfwd(net, x) also returns a matrix a +giving the summed inputs to each output unit, where each row +corresponds to one pattern. + +

+See Also +

+mdn, mdn2gmm, mdnerr, mdngrad, mlpfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdngrad.htm b/sourcecodes/bnt-master/nethelp3.3/mdngrad.htm new file mode 100644 index 00000000..b3842991 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdngrad.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual mdngrad + + + +

mdngrad +

+

+Purpose +

+Evaluate gradient of error function for Mixture Density Network. + +

+Synopsis +

+
+
+g = mdngrad(net, x, t)
+
+ + +

+Description +

+ +g = mdngrad(net, x, t) takes a mixture density network data +structure net, a matrix x of input vectors and a matrix +t of target vectors, and evaluates the gradient g of the +error function with respect to the network weights. The error function +is negative log likelihood of the target data. Each row of x +corresponds to one input vector and each row of t corresponds to +one target vector. + +

+See Also +

+mdn, mdnfwd, mdnerr, mdnprob, mlpbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdninit.htm b/sourcecodes/bnt-master/nethelp3.3/mdninit.htm new file mode 100644 index 00000000..9e205c51 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdninit.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual mdninit + + + +

mdninit +

+

+Purpose +

+Initialise the weights in a Mixture Density Network. + +

+Synopsis +

+
+net = mdninit(net, prior)
+net = mdninit(net, prior, t, options)
+
+ + +

+Description +

+ +

net = mdninit(net, prior) takes a Mixture Density Network +net and sets the weights and biases by sampling from a Gaussian +distribution. It calls mlpinit for the MLP component of net. + +

net = mdninit(net, prior, t, options) uses the target data t to +initialise the biases for the output units after initialising the +other weights as above. It calls gmminit, with t and options +as arguments, to obtain a model of the unconditional density of t. The +biases are then set so that net will output the values in the Gaussian +mixture model. + +

+See Also +

+mdn, mlp, mlpinit, gmminit
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnpak.htm b/sourcecodes/bnt-master/nethelp3.3/mdnpak.htm new file mode 100644 index 00000000..d5e39033 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnpak.htm @@ -0,0 +1,41 @@ + + + +Netlab Reference Manual mdnpak + + + +

mdnpak +

+

+Purpose +

+Combines weights and biases into one weights vector. + +

+Synopsis +

+
+w = mdnpak(net)
+
+ + +

+Description +

+w = mdnpak(net) takes a mixture density +network data structure net and +combines the network weights into a single row vector w. + +

+See Also +

+mdn, mdnunpak, mdnfwd, mdnerr, mdngrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnpost.htm b/sourcecodes/bnt-master/nethelp3.3/mdnpost.htm new file mode 100644 index 00000000..3ae071a0 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnpost.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual mdnpost + + + +

mdnpost +

+

+Purpose +

+Computes the posterior probability for each MDN mixture component. + +

+Synopsis +

+
+post = mdnpost(mixparams, t)
+[post, a] = mdnpost(mixparams, t)
+
+ + +

+Description +

+post = mdnpost(mixparams, t) computes the posterior +probability p(j|t) of each +data vector in t under the Gaussian mixture model represented by the +corresponding entries in mixparams. Each row of t represents a +single vector. + +

[post, a] = mdnpost(mixparams, t) also computes the activations +a (i.e. the probability p(t|j) of the data conditioned on +each component density) for a Gaussian mixture model. + +

+See Also +

+mdngrad, mdnprob
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnprob.htm b/sourcecodes/bnt-master/nethelp3.3/mdnprob.htm new file mode 100644 index 00000000..cffa2517 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnprob.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual mdnprob + + + +

mdnprob +

+

+Purpose +

+Computes the data probability likelihood for an MDN mixture structure. + +

+Synopsis +

+
+prob = mdnprob(mixparams, t)
+[prob, a] = mdnprob(mixparams, t)
+
+ + +

+Description +

+prob = mdnprob(mixparams, t) computes the probability p(t) of each +data vector in t under the Gaussian mixture model represented by the +corresponding entries in mixparams. Each row of t represents a +single vector. + +

[prob, a] = mdnprob(mixparams, t) also computes the activations +a (i.e. the probability p(t|j) of the data conditioned on +each component density) for a Gaussian mixture model. + +

+See Also +

+mdnerr, mdnpost
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mdnunpak.htm b/sourcecodes/bnt-master/nethelp3.3/mdnunpak.htm new file mode 100644 index 00000000..de6d2610 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mdnunpak.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual mdnunpak + + + +

mdnunpak +

+

+Purpose +

+Separates weights vector into weight and bias matrices. + +

+Synopsis +

+
+net = mdnunpak(net, w)
+
+ + +

+Description +

+net = mdnunpak(net, w) takes an mdn network data structure net and +a weight vector w, and returns a network data structure identical to +the input network, except that the weights in the MLP sub-structure are +set to the corresponding elements of w. + +

+See Also +

+mdn, mdnpak, mdnfwd, mdnerr, mdngrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) +

David J Evans (1998) + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/metrop.htm b/sourcecodes/bnt-master/nethelp3.3/metrop.htm new file mode 100644 index 00000000..93c3ed49 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/metrop.htm @@ -0,0 +1,108 @@ + + + +Netlab Reference Manual metrop + + + +

metrop +

+

+Purpose +

+Markov Chain Monte Carlo sampling with Metropolis algorithm. + +

+Synopsis +

+
+
+samples = metrop(f, x, options)
+samples = metrop(f, x, options, [], P1, P2, ...)
+[samples, energies, diagn] = metrop(f, x, options)
+s = metrop('state')
+metrop('state', s)
+
+ + +

+Description +

+ +samples = metrop(f, x, options) uses +the Metropolis algorithm to sample from the distribution +p ~ exp(-f), where f is the first argument to metrop. +The Markov chain starts at the point x and each +candidate state is picked from a Gaussian proposal distribution and +accepted or rejected according to the Metropolis criterion. + +

samples = metrop(f, x, options, [], p1, p2, ...) allows +additional arguments to be passed to f(). The fourth argument is +ignored, but is included for compatibility with hmc and the +optimisers. + +

[samples, energies, diagn] = metrop(f, x, options) also returns +a log of the energy values (i.e. negative log probabilities) for the +samples in energies and diagn, a structure containing +diagnostic information (position and +acceptance threshold) for each step of the chain in diagn.pos and +diagn.acc respectively. All candidate states (including rejected +ones) are stored in diagn.pos. + +

s = metrop('state') returns a state structure that contains the +state of the two random number generators rand and randn. +These are contained in fields +randstate, +randnstate. + +

metrop('state', s) resets the state to s. If s is an integer, +then it is passed to rand and randn. +If s is a structure returned by metrop('state') then +it resets the generator to exactly the same state. + +

The optional parameters in the options vector have the following +interpretations. + +

options(1) is set to 1 to display the energy values and rejection +threshold at each step of the Markov chain. If the value is 2, then the +position vectors at each step are also displayed. + +

options(14) is the number of samples retained from the Markov chain; +default 100. + +

options(15) is the number of samples omitted from the start of the +chain; default 0. + +

options(18) is the variance of the proposal distribution; default 1. + +

+Examples +

+The following code fragment samples from the posterior distribution of +weights for a neural network. +
+
+w = mlppak(net);
+[samples, energies] = metrop('neterr', w, options, 'netgrad', net, x, t);
+
+ + +

+Algorithm +

+ +The algorithm follows the procedure outlined in Radford Neal's technical +report CRG-TR-93-1 from the University of Toronto. + +

+See Also +

+hmc
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/minbrack.htm b/sourcecodes/bnt-master/nethelp3.3/minbrack.htm new file mode 100644 index 00000000..f49d18f5 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/minbrack.htm @@ -0,0 +1,65 @@ + + + +Netlab Reference Manual minbrack + + + +

minbrack +

+

+Purpose +

+Bracket a minimum of a function of one variable. + +

+Description +

+brmin, brmid, brmax, numevals] = minbrack(f, a, b, fa) +finds a bracket of three points around a local minimum of +f. The function f must have a one dimensional domain. +a < b is an initial guess at the minimum and maximum points +of a bracket, but minbrack will search outside this interval if +necessary. The bracket consists of three points (in increasing order) +such that f(brmid) < f(brmin) and f(brmid) < f(brmax). +fa is the value of the function at a: it is included to +avoid unnecessary function evaluations in the optimization routines. +The return value numevals is the number of function evaluations +in minbrack. + +

minbrack(f, a, b, fa, p1, p2, ...) allows additional +arguments to be passed to f + +

+Examples +

+An example of the use of this function to bracket the minimum of a function +f in the direction sd can be found in linemin +
+
+[min, mid, max, nevals]] = minbrack('linef', 0.0, 1.0, fa, f, pt, dir);
+
+ +where the function linef is used to turn a general function f +into a one dimensional one. + +

+Algorithm +

+ +Quadratic extrapolation with a limit to the maximum step size is +used to find the outside points of the bracket. This implementation +is based on that in Numerical Recipes. + +

+See Also +

+linemin, linef
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlp.htm b/sourcecodes/bnt-master/nethelp3.3/mlp.htm new file mode 100644 index 00000000..b8237991 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlp.htm @@ -0,0 +1,94 @@ + + + +Netlab Reference Manual mlp + + + +

mlp +

+

+Purpose +

+Create a 2-layer feedforward network. + +

+Synopsis +

+
+net = mlp(nin, nhidden, nout, func)
+net = mlp(nin, nhidden, nout, func, prior)
+net = mlp(nin, nhidden, nout, func, prior, beta)
+
+ + +

+Description +

+net = mlp(nin, nhidden, nout, func) takes the number of inputs, +hidden units and output units for a 2-layer feed-forward network, +together with a string func which specifies the output unit +activation function, and returns a data structure net. The +weights are drawn from a zero mean, unit variance isotropic Gaussian, +with varianced scaled by the fan-in of the hidden or output units as +appropriate. This makes use of the Matlab function +randn and so the seed for the random weight initialization can be +set using randn('state', s) where s is the seed value. +The hidden units use the tanh activation function. + +

The fields in net are +

+
+  type = 'mlp'
+  nin = number of inputs
+  nhidden = number of hidden units
+  nout = number of outputs
+  nwts = total number of weights and biases
+  actfn = string describing the output unit activation function:
+      'linear'
+      'logistic
+      'softmax'
+  w1 = first-layer weight matrix
+  b1 = first-layer bias vector
+  w2 = second-layer weight matrix
+  b2 = second-layer bias vector
+
+ +Here w1 has dimensions nin times nhidden, b1 has +dimensions 1 times nhidden, w2 has +dimensions nhidden times nout, and b2 has +dimensions 1 times nout. + +

net = mlp(nin, nhidden, nout, func, prior), in which prior is +a scalar, allows the field net.alpha in the data structure +net to be set, corresponding to a zero-mean isotropic Gaussian +prior with inverse variance with value prior. Alternatively, +prior can consist of a data structure with fields alpha +and index, allowing individual Gaussian priors to be set over +groups of weights in the network. Here alpha is a column vector +in which each element corresponds to a separate group of weights, +which need not be mutually exclusive. The membership of the groups is +defined by the matrix indx in which the columns correspond to +the elements of alpha. Each column has one element for each +weight in the matrix, in the order defined by the function +mlppak, and each element is 1 or 0 according to whether the +weight is a member of the corresponding group or not. A utility +function mlpprior is provided to help in setting up the +prior data structure. + +

net = mlp(nin, nhidden, nout, func, prior, beta) also sets the +additional field net.beta in the data structure net, where +beta corresponds to the inverse noise variance. + +

+See Also +

+mlpprior, mlppak, mlpunpak, mlpfwd, mlperr, mlpbkp, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpbkp.htm b/sourcecodes/bnt-master/nethelp3.3/mlpbkp.htm new file mode 100644 index 00000000..00fd6846 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpbkp.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual mlpbkp + + + +

mlpbkp +

+

+Purpose +

+Backpropagate gradient of error function for 2-layer network. + +

+Synopsis +

+
+g = mlpbkp(net, x, z, deltas)
+ + +

+Description +

+g = mlpbkp(net, x, z, deltas) takes a network data structure +net together with a matrix x of input vectors, a matrix +z of hidden unit activations, and a matrix deltas of the +gradient of the error function with respect to the values of the +output units (i.e. the summed inputs to the output units, before the +activation function is applied). The return value is the gradient +g of the error function with respect to the network +weights. Each row of x corresponds to one input vector. + +

This function is provided so that the common backpropagation algorithm +can be used by multi-layer perceptron network models to compute +gradients for mixture density networks as well as standard error +functions. + +

+See Also +

+mlp, mlpgrad, mlpderiv, mdngrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpderiv.htm b/sourcecodes/bnt-master/nethelp3.3/mlpderiv.htm new file mode 100644 index 00000000..514dafc6 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpderiv.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual mlpderiv + + + +

mlpderiv +

+

+Purpose +

+Evaluate derivatives of network outputs with respect to weights. + +

+Synopsis +

+
+g = mlpderiv(net, x)
+ + +

+Description +

+g = mlpderiv(net, x) takes a network data structure net +and a matrix of input vectors x and returns a three-index matrix +g whose i, j, k element contains the +derivative of network output k with respect to weight or bias +parameter j for input pattern i. The ordering of the +weight and bias parameters is defined by mlpunpak. + +

+See Also +

+mlp, mlppak, mlpgrad, mlpbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlperr.htm b/sourcecodes/bnt-master/nethelp3.3/mlperr.htm new file mode 100644 index 00000000..33d748da --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlperr.htm @@ -0,0 +1,49 @@ + + + +Netlab Reference Manual mlperr + + + +

mlperr +

+

+Purpose +

+Evaluate error function for 2-layer network. + +

+Synopsis +

+
+e = mlperr(net, x, t)
+
+ + +

+Description +

+e = mlperr(net, x, t) takes a network data structure net together +with a matrix x of input vectors and a matrix t of target +vectors, and evaluates the error function e. The choice of error +function corresponds to the output unit activation function. Each row +of x corresponds to one input vector and each row of t +corresponds to one target vector. + +

[e, edata, eprior] = mlperr(net, x, t) additionally returns the +data and prior components of the error, assuming a zero mean Gaussian +prior on the weights with inverse variance parameters alpha and +beta taken from the network data structure net. + +

+See Also +

+mlp, mlppak, mlpunpak, mlpfwd, mlpbkp, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpevfwd.htm b/sourcecodes/bnt-master/nethelp3.3/mlpevfwd.htm new file mode 100644 index 00000000..1cf75307 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpevfwd.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual mlpevfwd + + + +

mlpevfwd +

+

+Purpose +

+Forward propagation with evidence for MLP + +

+Synopsis +

+
+
+[y, extra] = mlpevfwd(net, x, t, x_test)
+[y, extra, invhess] = mlpevfwd(net, x, t, x_test, invhess)
+
+ + +

+Description +

+y = mlpevfwd(net, x, t, x_test) takes a network data structure +net together with the input x and target t training data +and input test data x_test. +It returns the normal forward propagation through the network y +together with a matrix extra which consists of error bars (variance) +for a regression problem or moderated outputs for a classification problem. +The optional argument (and return value) +invhess is the inverse of the network Hessian +computed on the training data inputs and targets. Passing it in avoids +recomputing it, which can be a significant saving for large training sets. + +

+See Also +

+fevbayes
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpfwd.htm b/sourcecodes/bnt-master/nethelp3.3/mlpfwd.htm new file mode 100644 index 00000000..2f2be47a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpfwd.htm @@ -0,0 +1,52 @@ + + + +Netlab Reference Manual mlpfwd + + + +

mlpfwd +

+

+Purpose +

+Forward propagation through 2-layer network. + +

+Synopsis +

+
+y = mlpfwd(net, x)
+[y, z] = mlpfwd(net, x)
+[y, z, a] = mlpfwd(net, x)
+
+ + +

+Description +

+y = mlpfwd(net, x) takes a network data structure net together with +a matrix x of input vectors, and forward propagates the inputs +through the network to generate a matrix y of output +vectors. Each row of x corresponds to one input vector and each +row of y corresponds to one output vector. + +

[y, z] = mlpfwd(net, x) also generates a matrix z of the hidden +unit activations where each row corresponds to one pattern. + +

[y, z, a] = mlpfwd(net, x) also returns a matrix a +giving the summed inputs to each output unit, where each row +corresponds to one pattern. + +

+See Also +

+mlp, mlppak, mlpunpak, mlperr, mlpbkp, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpgrad.htm b/sourcecodes/bnt-master/nethelp3.3/mlpgrad.htm new file mode 100644 index 00000000..08943cc9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpgrad.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual mlpgrad + + + +

mlpgrad +

+

+Purpose +

+Evaluate gradient of error function for 2-layer network. + +

+Synopsis +

+
+
+g = mlpgrad(net, x, t)
+
+ + +

+Description +

+g = mlpgrad(net, x, t) takes a network data structure net +together with a matrix x of input vectors and a matrix t +of target vectors, and evaluates the gradient g of the error +function with respect to the network weights. The error funcion +corresponds to the choice of output unit activation function. Each row +of x corresponds to one input vector and each row of t +corresponds to one target vector. + +

[g, gdata, gprior] = mlpgrad(net, x, t) also returns separately +the data and prior contributions to the gradient. In the case of +multiple groups in the prior, gprior is a matrix with a row +for each group and a column for each weight parameter. + +

+See Also +

+mlp, mlppak, mlpunpak, mlpfwd, mlperr, mlpbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlphdotv.htm b/sourcecodes/bnt-master/nethelp3.3/mlphdotv.htm new file mode 100644 index 00000000..7ecf2765 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlphdotv.htm @@ -0,0 +1,45 @@ + + + +Netlab Reference Manual mlphdotv + + + +

mlphdotv +

+

+Purpose +

+Evaluate the product of the data Hessian with a vector. + +

+Synopsis +

+
+hdv = mlphdotv(net, x, t, v)
+ + +

+Description +

+ +

hdv = mlphdotv(net, x, t, v) takes an MLP network data structure +net, together with the matrix x of input vectors, the +matrix t of target vectors and an arbitrary row vector v +whose length equals the number of parameters in the network, and +returns the product of the data-dependent contribution to the Hessian +matrix with v. The implementation is based on the R-propagation +algorithm of Pearlmutter. + +

+See Also +

+mlp, mlphess, hesschek
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlphess.htm b/sourcecodes/bnt-master/nethelp3.3/mlphess.htm new file mode 100644 index 00000000..59a6ec91 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlphess.htm @@ -0,0 +1,73 @@ + + + +Netlab Reference Manual mlphess + + + +

mlphess +

+

+Purpose +

+Evaluate the Hessian matrix for a multi-layer perceptron network. + +

+Synopsis +

+
+h = mlphess(net, x, t)
+[h, hdata] = mlphess(net, x, t)
+h = mlphess(net, x, t, hdata)
+
+ + +

+Description +

+h = mlphess(net, x, t) takes an MLP network data structure net, +a matrix x of input values, and a matrix t of target +values and returns the full Hessian matrix h corresponding to +the second derivatives of the negative log posterior distribution, +evaluated for the current weight and bias values as defined by +net. + +

[h, hdata] = mlphess(net, x, t) returns both the Hessian matrix +h and the contribution hdata arising from the data dependent +term in the Hessian. + +

h = mlphess(net, x, t, hdata) takes a network data structure +net, a matrix x of input values, and a matrix t of +target values, together with the contribution hdata arising from +the data dependent term in the Hessian, and returns the full Hessian +matrix h corresponding to the second derivatives of the negative +log posterior distribution. This version saves computation time if +hdata has already been evaluated for the current weight and bias +values. + +

+Example +

+For the standard regression framework with a Gaussian conditional +distribution of target values given input values, and a simple +Gaussian prior over weights, the Hessian takes the form +
+
+    h = beta*hd + alpha*I
+
+ +where the contribution hd is evaluated by calls to mlphdotv and +h is the full Hessian. + +

+See Also +

+mlp, hesschek, mlphdotv, evidence
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlphint.htm b/sourcecodes/bnt-master/nethelp3.3/mlphint.htm new file mode 100644 index 00000000..82411403 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlphint.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual mlphint + + + +

mlphint +

+

+Purpose +

+Plot Hinton diagram for 2-layer feed-forward network. + +

+Synopsis +

+
+mlphint(net)
+[h1, h2] = mlphint(net)
+ + +

+Description +

+ +

mlphint(net) takes a network structure net +and plots the Hinton diagram comprised of two +figure windows, one displaying the first-layer weights and biases, and +one displaying the second-layer weights and biases. + +

[h1, h2] = mlphint(net) also returns handles h1 and +h2 to the figures which can be used, for instance, to delete the +figures when they are no longer needed. + +

To print the figure correctly, you should call +set(h, 'InvertHardCopy', 'on') before printing. + +

+See Also +

+demhint, hintmat, mlp, mlppak, mlpunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpinit.htm b/sourcecodes/bnt-master/nethelp3.3/mlpinit.htm new file mode 100644 index 00000000..2f7dbd4e --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpinit.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual mlpinit + + + +

mlpinit +

+

+Purpose +

+Initialise the weights in a 2-layer feedforward network. + +

+Synopsis +

+
+net = mlpinit(net, prior)
+
+ + +

+Description +

+ +

net = mlpinit(net, prior) takes a 2-layer feedforward network +net and sets the weights and biases by sampling from a Gaussian +distribution. If prior is a scalar, then all of the parameters +(weights and biases) are sampled from a single isotropic Gaussian with +inverse variance equal to prior. If prior is a data +structure of the kind generated by mlpprior, then the parameters +are sampled from multiple Gaussians according to their groupings +(defined by the index field) with corresponding variances +(defined by the alpha field). + +

+See Also +

+mlp, mlpprior, mlppak, mlpunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlppak.htm b/sourcecodes/bnt-master/nethelp3.3/mlppak.htm new file mode 100644 index 00000000..aa038f46 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlppak.htm @@ -0,0 +1,55 @@ + + + +Netlab Reference Manual mlppak + + + +

mlppak +

+

+Purpose +

+Combines weights and biases into one weights vector. + +

+Synopsis +

+
+w = mlppak(net)
+
+ + +

+Description +

+w = mlppak(net) takes a network data structure net and +combines the component weight matrices bias vectors into a single row +vector w. The facility to switch between these two +representations for the network parameters is useful, for example, in +training a network by error function minimization, since a single +vector of parameters can be handled by general-purpose optimization +routines. + +

The ordering of the paramters in w is defined by +

+
+  w = [net.w1(:)', net.b1, net.w2(:)', net.b2];
+
+ +where w1 is the first-layer weight matrix, b1 is the +first-layer bias vector, w2 is the second-layer weight matrix, +and b2 is the second-layer bias vector. + +

+See Also +

+mlp, mlpunpak, mlpfwd, mlperr, mlpbkp, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpprior.htm b/sourcecodes/bnt-master/nethelp3.3/mlpprior.htm new file mode 100644 index 00000000..1821e919 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpprior.htm @@ -0,0 +1,58 @@ + + + +Netlab Reference Manual mlpprior + + + +

mlpprior +

+

+Purpose +

+Create Gaussian prior for mlp. + +

+Synopsis +

+
+prior = mlpprior(nin, nhidden, nout, aw1, ab1, aw2, ab2)
+ + +

+Description +

+prior = mlpprior(nin, nhidden, nout, aw1, ab1, aw2, ab2) +generates a data structure +prior, with fields prior.alpha and prior.index, which +specifies a Gaussian prior distribution for the network weights in a +two-layer feedforward network. Two different cases are possible. In +the first case, aw1, ab1, aw2 and ab2 are all +scalars and represent the regularization coefficients for four groups +of parameters in the network corresponding to first-layer weights, +first-layer biases, second-layer weights, and second-layer biases +respectively. Then prior.alpha represents a column vector of +length 4 containing the parameters, and prior.index is a matrix +specifying which weights belong in each group. Each column has one +element for each weight in the matrix, using the standard ordering as +defined in mlppak, and each element is 1 or 0 according to +whether the weight is a member of the corresponding group or not. In +the second case the parameter aw1 is a vector of length equal to +the number of inputs in the network, and the corresponding matrix +prior.index now partitions the first-layer weights into groups +corresponding to the weights fanning out of each input unit. This +prior is appropriate for the technique of automatic relevance +determination. + +

+See Also +

+mlp, mlperr, mlpgrad, evidence
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlptrain.htm b/sourcecodes/bnt-master/nethelp3.3/mlptrain.htm new file mode 100644 index 00000000..ad89786b --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlptrain.htm @@ -0,0 +1,35 @@ + + + +Netlab Reference Manual mlptrain + + + +

mlptrain +

+

+Purpose +

+Utility to train an MLP network for demtrain + +

+Description +

+ +

[net, error] = mlptrain(net, x, t, its) trains a network data +structure net using the scaled conjugate gradient algorithm +for its cycles with +input data x, target data t. + +

+See Also +

+demtrain, scg, netopt
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/mlpunpak.htm b/sourcecodes/bnt-master/nethelp3.3/mlpunpak.htm new file mode 100644 index 00000000..3c6bba21 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/mlpunpak.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual mlpunpak + + + +

mlpunpak +

+

+Purpose +

+Separates weights vector into weight and bias matrices. + +

+Synopsis +

+
+net = mlpunpak(net, w)
+
+ + +

+Description +

+net = mlpunpak(net, w) takes an mlp network data structure net and +a weight vector w, and returns a network data structure identical to +the input network, except that the first-layer weight matrix +w1, the first-layer bias vector b1, the second-layer +weight matrix w2 and the second-layer bias vector b2 have all +been set to the corresponding elements of w. + +

+See Also +

+mlp, mlppak, mlpfwd, mlperr, mlpbkp, mlpgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netderiv.htm b/sourcecodes/bnt-master/nethelp3.3/netderiv.htm new file mode 100644 index 00000000..3275eced --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netderiv.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual netderiv + + + +

netderiv +

+

+Purpose +

+Evaluate derivatives of network outputs by weights generically. + +

+Synopsis +

+
+g = netderiv(w, net, x)
+ + +

+Description +

+ +

g = netderiv(w, net, x) takes a weight vector w and a network +data structure net, together with the matrix x of input +vectors, and returns the +gradient of the outputs with respect to the weights evaluated at w. + +

+See Also +

+netevfwd, netopt
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/neterr.htm b/sourcecodes/bnt-master/nethelp3.3/neterr.htm new file mode 100644 index 00000000..2ec53e61 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/neterr.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual neterr + + + +

neterr +

+

+Purpose +

+Evaluate network error function for generic optimizers + +

+Synopsis +

+
+e = neterr(w, net, x, t)
+[e, varargout] = neterr(w, net, x, t)
+
+ + +

+Description +

+ +

e = neterr(w, net, x, t) takes a weight vector w and a network +data structure net, together with the matrix x of input +vectors and the matrix t of target vectors, and returns the +value of the error function evaluated at w. + +

[e, varargout] = neterr(w, net, x, t) also returns any additional +return values from the error function. + +

+See Also +

+netgrad, nethess, netopt
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netevfwd.htm b/sourcecodes/bnt-master/nethelp3.3/netevfwd.htm new file mode 100644 index 00000000..ea876bb2 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netevfwd.htm @@ -0,0 +1,52 @@ + + + +Netlab Reference Manual netevfwd + + + +

netevfwd +

+

+Purpose +

+Generic forward propagation with evidence for network + +

+Synopsis +

+
+
+[y, extra] = netevfwd(w, net, x, t, x_test)
+[y, extra, invhess] = netevfwd(w, net, x, t, x_test, invhess)
+
+ + +

+Description +

+[y, extra] = netevfwd(w, net, x, t, x_test) takes a network data +structure +net together with the input x and target t training data +and input test data x_test. +It returns the normal forward propagation through the network y +together with a matrix extra which consists of error bars (variance) +for a regression problem or moderated outputs for a classification problem. + +

The optional argument (and return value) +invhess is the inverse of the network Hessian +computed on the training data inputs and targets. Passing it in avoids +recomputing it, which can be a significant saving for large training sets. + +

+See Also +

+mlpevfwd, rbfevfwd, glmevfwd, fevbayes
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netgrad.htm b/sourcecodes/bnt-master/nethelp3.3/netgrad.htm new file mode 100644 index 00000000..a9ce1571 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netgrad.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual netgrad + + + +

netgrad +

+

+Purpose +

+Evaluate network error gradient for generic optimizers + +

+Synopsis +

+
+g = netgrad(w, net, x, t)
+ + +

+Description +

+ +

g = netgrad(w, net, x, t) takes a weight vector w and a network +data structure net, together with the matrix x of input +vectors and the matrix t of target vectors, and returns the +gradient of the error function evaluated at w. + +

+See Also +

+mlp, neterr, netopt
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/nethelp3.3.zip b/sourcecodes/bnt-master/nethelp3.3/nethelp3.3.zip new file mode 100644 index 00000000..5c316a1d Binary files /dev/null and b/sourcecodes/bnt-master/nethelp3.3/nethelp3.3.zip differ diff --git a/sourcecodes/bnt-master/nethelp3.3/nethess.htm b/sourcecodes/bnt-master/nethelp3.3/nethess.htm new file mode 100644 index 00000000..b918fe0a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/nethess.htm @@ -0,0 +1,66 @@ + + + +Netlab Reference Manual nethess + + + +

nethess +

+

+Purpose +

+Evaluate network Hessian + +

+Synopsis +

+
+h = neterr(w, net, x, t)
+[h, varargout] = neterr(w, net, x, t, varargin)
+
+ + +

+Description +

+ +

h = nethess(w, net, x, t) takes a weight vector w and a network +data structure net, together with the matrix x of input +vectors and the matrix t of target vectors, and returns the +value of the Hessian evaluated at w. + +

[e, varargout] = nethess(w, net, x, t, varargin) also returns any additional +return values from the network Hessian function, and passes additional arguments +to that function. + +

+Example +

+ +

In evidence, this function is called once to compute the +data contribution to the Hessian +

+
+[h, dh] = nethess(w, net, x, t, dh);
+
+ +and again to update the Hessian for new values of the hyper-parameters +
+
+h = nethess(w, net, x, t, dh);
+
+ + +

+See Also +

+neterr, netgrad, netopt
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netinit.htm b/sourcecodes/bnt-master/nethelp3.3/netinit.htm new file mode 100644 index 00000000..3612b574 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netinit.htm @@ -0,0 +1,48 @@ + + + +Netlab Reference Manual netinit + + + +

netinit +

+

+Purpose +

+Initialise the weights in a network. + +

+Synopsis +

+
+net = netinit(net, prior)
+
+ + +

+Description +

+ +

net = netinit(net, prior) takes a network data structure +net and sets the weights and biases by sampling from a Gaussian +distribution. If prior is a scalar, then all of the parameters +(weights and biases) are sampled from a single isotropic Gaussian with +inverse variance equal to prior. If prior is a data +structure of the kind generated by mlpprior, then the parameters +are sampled from multiple Gaussians according to their groupings +(defined by the index field) with corresponding variances +(defined by the alpha field). + +

+See Also +

+mlpprior, netunpak, rbfprior
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netopt.htm b/sourcecodes/bnt-master/nethelp3.3/netopt.htm new file mode 100644 index 00000000..369c959c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netopt.htm @@ -0,0 +1,75 @@ + + + +Netlab Reference Manual netopt + + + +

netopt +

+

+Purpose +

+Optimize the weights in a network model. + +

+Synopsis +

+
+[net, options] = netopt(net, options, x, t, alg)
+[net, options, varargout] = netopt(net, options, x, t, alg)
+
+ + +

+Description +

+ +

netopt is a helper function which facilitates the training of +networks using the general purpose optimizers as well as sampling from the +posterior distribution of parameters using general purpose Markov chain +Monte Carlo sampling algorithms. It can be used with any function that +searches in parameter space using error and gradient functions. + +

[net, options] = netopt(net, options, x, t, alg) takes a network +data structure net, together with a vector options of +parameters governing the behaviour of the optimization algorithm, a +matrix x of input vectors and a matrix t of target +vectors, and returns the trained network as well as an updated +options vector. The string alg determines which optimization +algorithm (conjgrad, quasinew, scg, etc.) or Monte +Carlo algorithm (such as hmc) will be used. + +

[net, options, varargout] = netopt(net, options, x, t, alg) +also returns any additional return values from the optimisation algorithm. + +

+Examples +

+Suppose we create a 4-input, 3 hidden unit, 2-output feed-forward +network using net = mlp(4, 3, 2, 'linear'). We can then train +the network with the scaled conjugate gradient algorithm by using +net = netopt(net, options, x, t, 'scg') where x and +t are the input and target data matrices respectively, and the +options vector is set appropriately for scg. + +

If we also wish to plot the learning curve, we can use the additional +return value errlog given by scg: +

+
+[net, options, errlog] = netopt(net, options, x, t, 'scg');
+
+ + +

+See Also +

+netgrad, bfgs, conjgrad, graddesc, hmc, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netpak.htm b/sourcecodes/bnt-master/nethelp3.3/netpak.htm new file mode 100644 index 00000000..29286b7d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netpak.htm @@ -0,0 +1,47 @@ + + + +Netlab Reference Manual netpak + + + +

netpak +

+

+Purpose +

+Combines weights and biases into one weights vector. + +

+Synopsis +

+
+w = netpak(net)
+
+ + +

+Description +

+w = netpak(net) takes a network data structure net and +combines the component weight matrices into a single row +vector w. The facility to switch between these two +representations for the network parameters is useful, for example, in +training a network by error function minimization, since a single +vector of parameters can be handled by general-purpose optimization +routines. This function also takes into account a mask defined +as a field in net by removing any weights that correspond to +entries of 0 in the mask. + +

+See Also +

+net, netunpak, netfwd, neterr, netgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/netunpak.htm b/sourcecodes/bnt-master/nethelp3.3/netunpak.htm new file mode 100644 index 00000000..fef34ed7 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/netunpak.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual netunpak + + + +

netunpak +

+

+Purpose +

+Separates weights vector into weight and bias matrices. + +

+Synopsis +

+
+net = netunpak(net, w)
+
+ + +

+Description +

+net = netunpak(net, w) takes an net network data structure net and +a weight vector w, and returns a network data structure identical to +the input network, except that the componenet weight matrices have all +been set to the corresponding elements of w. If there is +a mask field in the net data structure, then the weights in +w are placed in locations corresponding to non-zero entries in the +mask (so w should have the same length as the number of non-zero +entries in the mask). + +

+See Also +

+netpak, netfwd, neterr, netgrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/olgd.htm b/sourcecodes/bnt-master/nethelp3.3/olgd.htm new file mode 100644 index 00000000..15417b70 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/olgd.htm @@ -0,0 +1,101 @@ + + + +Netlab Reference Manual olgd + + + +

olgd +

+

+Purpose +

+On-line gradient descent optimization. + +

+Description +

+[net, options, errlog, pointlog] = olgd(net, options, x, t) uses +on-line gradient descent to find a local minimum of the error function for the +network +net computed on the input data x and target values +t. A log of the error values +after each cycle is (optionally) returned in errlog, and a log +of the points visited is (optionally) returned in pointlog. +Because the gradient is computed on-line (i.e. after each pattern) +this can be quite inefficient in Matlab. + +

The error function value at final weight vector is returned +in options(8). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog, and the points visited +in the return argument pointslog. If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is the precision required for the value +of x at the solution. If the absolute difference between +the values of x between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is the precision required of the objective +function at the solution. If the absolute difference between the +error functions between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. Note that testing the function value at each +iteration roughly halves the speed of the algorithm. + +

options(5) determines whether the patterns are sampled randomly +with replacement. If it is 0 (the default), then patterns are sampled +in order. + +

options(6) determines if the learning rate decays. If it is 1 +then the learning rate decays at a rate of 1/t. If it is 0 +(the default) then the learning rate is constant. + +

options(9) should be set to 1 to check the user defined gradient +function. + +

options(10) returns the total number of function evaluations (including +those in any line searches). + +

options(11) returns the total number of gradient evaluations. + +

options(14) is the maximum number of iterations (passes through +the complete pattern set); default 100. + +

options(17) is the momentum; default 0.5. + +

options(18) is the learning rate; default 0.01. + +

+Examples +

+The following example performs on-line gradient descent on an MLP with +random sampling from the pattern set. +
+
+net = mlp(5, 3, 1, 'linear');
+options = foptions;
+options(18) = 0.01;
+options(5) = 1;
+net = olgd(net, options, x, t);
+
+ + +

+See Also +

+graddesc
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/pca.htm b/sourcecodes/bnt-master/nethelp3.3/pca.htm new file mode 100644 index 00000000..84fe3e38 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/pca.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual pca + + + +

pca +

+

+Purpose +

+Principal Components Analysis + +

+Synopsis +

+
+PCcoeff = pca(data)
+PCcoeff = pca(data, N)
+[PCcoeff, PCvec] = pca(data)
+
+ + +

+Description +

+ +PCcoeff = pca(data) computes the eigenvalues of the covariance +matrix of the dataset data and returns them as PCcoeff. These +coefficients give the variance of data along the corresponding +principal components. + +

PCcoeff = pca(data, N) returns the largest N eigenvalues. + +

[PCcoeff, PCvec] = pca(data) returns the principal components as +well as the coefficients. This is considerably more computationally +demanding than just computing the eigenvalues. + +

+See Also +

+eigdec, gtminit, ppca
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/plotmat.htm b/sourcecodes/bnt-master/nethelp3.3/plotmat.htm new file mode 100644 index 00000000..a9a38cc9 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/plotmat.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual plotmat + + + +

plotmat +

+

+Purpose +

+Display a matrix. + +

+Synopsis +

+
+plotmat(matrix, textcolour, gridcolour, fontsize)
+ + +

+Description +

+plotmat(matrix, textcolour, gridcolour, fontsize) displays the matrix +matrix on the current figure. The textcolour and gridcolour +arguments control the colours of the numbers and grid labels respectively and +should follow the usual Matlab specification. +The parameter fontsize should be an integer. + +

+See Also +

+conffig, demmlp2
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/ppca.htm b/sourcecodes/bnt-master/nethelp3.3/ppca.htm new file mode 100644 index 00000000..b55a61c4 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/ppca.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual ppca + + + +

ppca +

+

+Purpose +

+Probabilistic Principal Components Analysis + +

+Synopsis +

+
+[var, U, lambda] = pca(x, ppca_dim)
+
+ + +

+Description +

+ +[var, U, lambda] = ppca(x, ppca_dim) computes the principal component +subspace U of dimension ppca_dim using a centred +covariance matrix x. The variable var contains +the off-subspace variance (which is assumed to be spherical), while the +vector lambda contains the variances of each of the principal +components. This is computed using the eigenvalue and eigenvector +decomposition of x. + +

+See Also +

+eigdec, pca
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/quasinew.htm b/sourcecodes/bnt-master/nethelp3.3/quasinew.htm new file mode 100644 index 00000000..528ecb1d --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/quasinew.htm @@ -0,0 +1,99 @@ + + + +Netlab Reference Manual quasinew + + + +

quasinew +

+

+Purpose +

+Quasi-Newton optimization. + +

+Description +

+[x, options, flog, pointlog] = quasinew(f, x, options, gradf) +uses a quasi-Newton +algorithm to find a local minimum of the function f(x) whose +gradient is given by gradf(x). Here x is a row vector +and f returns a scalar value. +The point at which f has a local minimum +is returned as x. The function value at that point is returned +in options(8). A log of the function values +after each cycle is (optionally) returned in flog, and a log +of the points visited is (optionally) returned in pointlog. + +

quasinew(f, x, options, gradf, p1, p2, ...) allows +additional arguments to be passed to f() and gradf(). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog, and the points visited +in the return argument pointslog. If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is a measure of the absolute precision required for the value +of x at the solution. If the absolute difference between +the values of x between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is a measure of the precision required of the objective +function at the solution. If the absolute difference between the +objective function values between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. + +

options(9) should be set to 1 to check the user defined gradient +function. + +

options(10) returns the total number of function evaluations (including +those in any line searches). + +

options(11) returns the total number of gradient evaluations. + +

options(14) is the maximum number of iterations; default 100. + +

options(15) is the precision in parameter space of the line search; +default 1e-2. + +

+Examples +

+An example of +the use of the additional arguments is the minimization of an error +function for a neural network: +
+
+w = quasinew('neterr', w, options, 'netgrad', net, x, t);
+
+ + +

+Algorithm +

+ +The quasi-Newton algorithm builds up an +approximation to the inverse Hessian over a number of steps. The +method requires order W squared storage, where W is the number of function +parameters. The Broyden-Fletcher-Goldfarb-Shanno formula for the +inverse Hessian updates is used. The line searches are carried out to +a relatively low precision (1.0e-2). + +

+See Also +

+conjgrad, graddesc, linemin, minbrack, scg
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbf.htm b/sourcecodes/bnt-master/nethelp3.3/rbf.htm new file mode 100644 index 00000000..97a7f925 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbf.htm @@ -0,0 +1,114 @@ + + + +Netlab Reference Manual rbf + + + +

rbf +

+

+Purpose +

+Creates an RBF network with specified architecture + +

+Synopsis +

+
+
+net = rbf(nin, nhidden, nout, rbfunc)
+net = rbf(nin, nhidden, nout, rbfunc, outfunc)
+net = rbf(nin, nhidden, nout, rbfunc, outfunc, prior, beta)
+
+ + +

+Description +

+net = rbf(nin, nhidden, nout, rbfunc) constructs and initialises +a radial basis function network returning a data structure net. +The weights are all initialised with a zero mean, unit variance normal +distribution, with the exception of the variances, which are set to one. +This makes use of the Matlab function +randn and so the seed for the random weight initialization can be +set using randn('state', s) where s is the seed value. The +activation functions are defined in terms of the distance between +the data point and the corresponding centre. Note that the functions are +computed to a convenient constant multiple: for example, the Gaussian +is not normalised. (Normalisation is not needed as the function outputs +are linearly combined in the next layer.) + +

The fields in net are +

+
+  type = 'rbf'
+  nin = number of inputs
+  nhidden = number of hidden units
+  nout = number of outputs
+  nwts = total number of weights and biases
+  actfn = string defining hidden unit activation function:
+    'gaussian' for a radially symmetric Gaussian function.
+    'tps' for r^2 log r, the thin plate spline function.
+    'r4logr' for r^4 log r.
+  outfn = string defining output error function:
+    'linear' for linear outputs (default) and SoS error.
+    'neuroscale' for Sammon stress measure.
+  c = centres
+  wi = squared widths (null for rlogr and tps)
+  w2 = second layer weight matrix
+  b2 = second layer bias vector
+
+ + +

net = rbf(nin, nhidden, nout, rbfund, outfunc) allows the user to +specify the type of error function to be used. The field outfn +is set to the value of this string. Linear outputs (for regression problems) +and Neuroscale outputs (for topographic mappings) are supported. + +

net = rbf(nin, nhidden, nout, rbfunc, outfunc, prior, beta), +in which prior is +a scalar, allows the field net.alpha in the data structure +net to be set, corresponding to a zero-mean isotropic Gaussian +prior with inverse variance with value prior. Alternatively, +prior can consist of a data structure with fields alpha +and index, allowing individual Gaussian priors to be set over +groups of weights in the network. Here alpha is a column vector +in which each element corresponds to a separate group of weights, +which need not be mutually exclusive. The membership of the groups is +defined by the matrix indx in which the columns correspond to +the elements of alpha. Each column has one element for each +weight in the matrix, in the order defined by the function +rbfpak, and each element is 1 or 0 according to whether the +weight is a member of the corresponding group or not. A utility +function rbfprior is provided to help in setting up the +prior data structure. + +

net = rbf(nin, nhidden, nout, func, prior, beta) also sets the +additional field net.beta in the data structure net, where +beta corresponds to the inverse noise variance. + +

+Example +

+The following code constructs an RBF network with 1 input and output node +and 5 hidden nodes and then propagates some data x through it. +
+
+net = rbf(1, 5, 1, 'tps');
+[y, act] = rbffwd(net, x);
+
+ + +

+See Also +

+rbferr, rbffwd, rbfgrad, rbfpak, rbftrain, rbfunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfbkp.htm b/sourcecodes/bnt-master/nethelp3.3/rbfbkp.htm new file mode 100644 index 00000000..cf3a9d52 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfbkp.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual rbfbkp + + + +

rbfbkp +

+

+Purpose +

+Backpropagate gradient of error function for RBF network. + +

+Synopsis +

+
+g = rbfbkp(net, x, z, n2, deltas)
+ + +

+Description +

+g = rbfbkp(net, x, z, n2, deltas) takes a network data structure +net together with a matrix x of input vectors, a matrix +z of hidden unit activations, a matrix n2 of the squared +distances between centres and inputs, and a matrix deltas of the +gradient of the error function with respect to the values of the +output units (i.e. the summed inputs to the output units, before the +activation function is applied). The return value is the gradient +g of the error function with respect to the network +weights. Each row of x corresponds to one input vector. + +

This function is provided so that the common backpropagation algorithm +can be used by RBF network models to compute +gradients for the output values (in rbfderiv) as well as standard error +functions. + +

+See Also +

+rbf, rbfgrad, rbfderiv
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfderiv.htm b/sourcecodes/bnt-master/nethelp3.3/rbfderiv.htm new file mode 100644 index 00000000..f9c0438a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfderiv.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual rbfderiv + + + +

rbfderiv +

+

+Purpose +

+Evaluate derivatives of RBF network outputs with respect to weights. + +

+Synopsis +

+
+g = rbfderiv(net, x)
+ + +

+Description +

+g = rbfderiv(net, x) takes a network data structure net +and a matrix of input vectors x and returns a three-index matrix +g whose i, j, k element contains the +derivative of network output k with respect to weight or bias +parameter j for input pattern i. The ordering of the +weight and bias parameters is defined by rbfunpak. This +function also takes into account any mask in the network data structure. + +

+See Also +

+rbf, rbfpak, rbfgrad, rbfbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbferr.htm b/sourcecodes/bnt-master/nethelp3.3/rbferr.htm new file mode 100644 index 00000000..5a97de46 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbferr.htm @@ -0,0 +1,50 @@ + + + +Netlab Reference Manual rbferr + + + +

rbferr +

+

+Purpose +

+Evaluate error function for RBF network. + +

+Synopsis +

+
+e = rbferr(net, x, t)
+[e, edata, eprior] = rbferr(net, x, t)
+
+ + +

+Description +

+e = rbferr(net, x, t) takes a network data structure net together +with a matrix x of input +vectors and a matrix t of target vectors, and evaluates the +appropriate error function e depending on net.outfn. +Each row of x corresponds to one +input vector and each row of t contains the corresponding target vector. + +

[e, edata, eprior] = rbferr(net, x, t) additionally returns the +data and prior components of the error, assuming a zero mean Gaussian +prior on the weights with inverse variance parameters alpha and +beta taken from the network data structure net. + +

+See Also +

+rbf, rbffwd, rbfgrad, rbfpak, rbftrain, rbfunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfevfwd.htm b/sourcecodes/bnt-master/nethelp3.3/rbfevfwd.htm new file mode 100644 index 00000000..21513c59 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfevfwd.htm @@ -0,0 +1,51 @@ + + + +Netlab Reference Manual rbfevfwd + + + +

rbfevfwd +

+

+Purpose +

+Forward propagation with evidence for RBF + +

+Synopsis +

+
+
+[y, extra] = rbfevfwd(net, x, t, x_test)
+[y, extra, invhess] = rbfevfwd(net, x, t, x_test, invhess)
+
+ + +

+Description +

+y = rbfevfwd(net, x, t, x_test) takes a network data structure +net together with the input x and target t training data +and input test data x_test. +It returns the normal forward propagation through the network y +together with a matrix extra which consists of error bars (variance) +for a regression problem or moderated outputs for a classification problem. + +

The optional argument (and return value) +invhess is the inverse of the network Hessian +computed on the training data inputs and targets. Passing it in avoids +recomputing it, which can be a significant saving for large training sets. + +

+See Also +

+fevbayes
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbffwd.htm b/sourcecodes/bnt-master/nethelp3.3/rbffwd.htm new file mode 100644 index 00000000..02e56931 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbffwd.htm @@ -0,0 +1,67 @@ + + + +Netlab Reference Manual rbffwd + + + +

rbffwd +

+

+Purpose +

+Forward propagation through RBF network with linear outputs. + +

+Synopsis +

+
+a = rbffwd(net, x)
+function [a, z, n2] = rbffwd(net, x)
+
+ + +

+Description +

+a = rbffwd(net, x) takes a network data structure +net and a matrix x of input +vectors and forward propagates the inputs through the network to generate +a matrix a of output vectors. Each row of x corresponds to one +input vector and each row of a contains the corresponding output vector. +The activation function that is used is determined by net.actfn. + +

[a, z, n2] = rbffwd(net, x) also generates a matrix z of +the hidden unit activations where each row corresponds to one pattern. +These hidden unit activations represent the design matrix for +the RBF. The matrix n2 is the squared distances between each +basis function centre and each pattern in which each row corresponds +to a data point. + +

+Examples +

+
+
+[a, z] = rbffwd(net, x);
+
+

temp = pinv([z ones(size(x, 1), 1)]) * t; +net.w2 = temp(1: nd(2), :); +net.b2 = temp(size(x, nd(2)) + 1, :); +

+ +Here x is the input data, t are the target values, and we use the +pseudo-inverse to find the output weights and biases. + +

+See Also +

+rbf, rbferr, rbfgrad, rbfpak, rbftrain, rbfunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfgrad.htm b/sourcecodes/bnt-master/nethelp3.3/rbfgrad.htm new file mode 100644 index 00000000..30759dfe --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfgrad.htm @@ -0,0 +1,55 @@ + + + +Netlab Reference Manual rbfgrad + + + +

rbfgrad +

+

+Purpose +

+Evaluate gradient of error function for RBF network. + +

+Synopsis +

+
+
+g = rbfgrad(net, x, t)
+[g, gdata, gprior] = rbfgrad(net, x, t)
+
+ + +

+Description +

+g = rbfgrad(net, x, t) takes a network data structure net +together with a matrix x of input +vectors and a matrix t of target vectors, and evaluates the gradient +g of the error function with respect to the network weights (i.e. +including the hidden unit parameters). The error +function is sum of squares. +Each row of x corresponds to one +input vector and each row of t contains the corresponding target vector. +If the output function is 'neuroscale' then the gradient is only +computed for the output layer weights and biases. + +

[g, gdata, gprior] = rbfgrad(net, x, t) also returns separately +the data and prior contributions to the gradient. In the case of +multiple groups in the prior, gprior is a matrix with a row +for each group and a column for each weight parameter. + +

+See Also +

+rbf, rbffwd, rbferr, rbfpak, rbfunpak, rbfbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfhess.htm b/sourcecodes/bnt-master/nethelp3.3/rbfhess.htm new file mode 100644 index 00000000..a9c6be79 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfhess.htm @@ -0,0 +1,72 @@ + + + +Netlab Reference Manual rbfhess + + + +

rbfhess +

+

+Purpose +

+Evaluate the Hessian matrix for RBF network. + +

+Synopsis +

+
+h = rbfhess(net, x, t)
+[h, hdata] = rbfhess(net, x, t)
+h = rbfhess(net, x, t, hdata)
+
+ + +

+Description +

+h = rbfhess(net, x, t) takes an RBF network data structure net, +a matrix x of input values, and a matrix t of target +values and returns the full Hessian matrix h corresponding to +the second derivatives of the negative log posterior distribution, +evaluated for the current weight and bias values as defined by +net. Currently, the implementation only computes the +Hessian for the output layer weights. + +

[h, hdata] = rbfhess(net, x, t) returns both the Hessian matrix +h and the contribution hdata arising from the data dependent +term in the Hessian. + +

h = rbfhess(net, x, t, hdata) takes a network data structure +net, a matrix x of input values, and a matrix t of +target values, together with the contribution hdata arising from +the data dependent term in the Hessian, and returns the full Hessian +matrix h corresponding to the second derivatives of the negative +log posterior distribution. This version saves computation time if +hdata has already been evaluated for the current weight and bias +values. + +

+Example +

+For the standard regression framework with a Gaussian conditional +distribution of target values given input values, and a simple +Gaussian prior over weights, the Hessian takes the form +
+
+    h = beta*hdata + alpha*I
+
+ + +

+See Also +

+mlphess, hesschek, evidence
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfjacob.htm b/sourcecodes/bnt-master/nethelp3.3/rbfjacob.htm new file mode 100644 index 00000000..853e59a3 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfjacob.htm @@ -0,0 +1,42 @@ + + + +Netlab Reference Manual rbfjacob + + + +

rbfjacob +

+

+Purpose +

+Evaluate derivatives of RBF network outputs with respect to inputs. + +

+Synopsis +

+
+g = rbfjacob(net, x)
+ + +

+Description +

+g = rbfjacob(net, x) takes a network data structure net +and a matrix of input vectors x and returns a three-index matrix +g whose i, j, k element contains the +derivative of network output k with respect to input +parameter j for input pattern i. + +

+See Also +

+rbf, rbfgrad, rbfbkp
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfpak.htm b/sourcecodes/bnt-master/nethelp3.3/rbfpak.htm new file mode 100644 index 00000000..08769b16 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfpak.htm @@ -0,0 +1,40 @@ + + + +Netlab Reference Manual rbfpak + + + +

rbfpak +

+

+Purpose +

+Combines all the parameters in an RBF network into one weights vector. + +

+Synopsis +

+
+w = rbfpak(net)
+
+ + +

+Description +

+w = rbfpak(net) takes a network data structure net and combines +the component parameter matrices into a single row vector w. + +

+See Also +

+rbfunpak, rbf
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfprior.htm b/sourcecodes/bnt-master/nethelp3.3/rbfprior.htm new file mode 100644 index 00000000..202bdde7 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfprior.htm @@ -0,0 +1,59 @@ + + + +Netlab Reference Manual rbfprior + + + +

rbfprior +

+

+Purpose +

+Create Gaussian prior and output layer mask for RBF. + +

+Synopsis +

+
+[mask, prior] = rbfprior(rbfunc, nin, nhidden, nout, aw2, ab2)
+ + +

+Description +

+[mask, prior] = rbfprior(rbfunc, nin, nhidden, nout, aw2, ab2) +generates a vector +mask that selects only the output +layer weights. This is because most uses of RBF networks in a Bayesian +context have fixed basis functions with the output layer as the only +adjustable parameters. In particular, the Neuroscale output error function +is designed to work only with this mask. + +

The return value +prior is a data structure, +with fields prior.alpha and prior.index, which +specifies a Gaussian prior distribution for the network weights in an +RBF network. The parameters aw2 and ab2 are all +scalars and represent the regularization coefficients for two groups +of parameters in the network corresponding to + second-layer weights, and second-layer biases +respectively. Then prior.alpha represents a column vector of +length 2 containing the parameters, and prior.index is a matrix +specifying which weights belong in each group. Each column has one +element for each weight in the matrix, using the standard ordering as +defined in rbfpak, and each element is 1 or 0 according to +whether the weight is a member of the corresponding group or not. + +

+See Also +

+rbf, rbferr, rbfgrad, evidence
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfsetbf.htm b/sourcecodes/bnt-master/nethelp3.3/rbfsetbf.htm new file mode 100644 index 00000000..c4fbf443 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfsetbf.htm @@ -0,0 +1,43 @@ + + + +Netlab Reference Manual rbfsetbf + + + +

rbfsetbf +

+

+Purpose +

+Set basis functions of RBF from data. + +

+Synopsis +

+
+net = rbfsetbf(net, options, x)
+
+ + +

+Description +

+net = rbfsetbf(net, options, x) sets the basis functions of the +RBF network net so that they model the unconditional density of the +dataset x. This is done by training a GMM with spherical covariances +using gmmem. The options vector is passed to gmmem. +The widths of the functions are set by a call to rbfsetfw. + +

+See Also +

+rbftrain, rbfsetfw, gmmem
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfsetfw.htm b/sourcecodes/bnt-master/nethelp3.3/rbfsetfw.htm new file mode 100644 index 00000000..ae3fab56 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfsetfw.htm @@ -0,0 +1,46 @@ + + + +Netlab Reference Manual rbfsetfw + + + +

rbfsetfw +

+

+Purpose +

+Set basis function widths of RBF. + +

+Synopsis +

+
+net = rbfsetfw(net, scale)
+
+ + +

+Description +

+net = rbfsetfw(net, scale) sets the widths of +the basis functions of the +RBF network net. +If Gaussian basis functions are used, then the variances are set to +the largest squared distance between centres if scale is non-positive +and scale times the mean distance of each centre to its nearest +neighbour if scale is positive. Non-Gaussian basis functions do +not have a width. + +

+See Also +

+rbftrain, rbfsetbf, gmmem
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbftrain.htm b/sourcecodes/bnt-master/nethelp3.3/rbftrain.htm new file mode 100644 index 00000000..04c2bef5 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbftrain.htm @@ -0,0 +1,90 @@ + + + +Netlab Reference Manual rbftrain + + + +

rbftrain +

+

+Purpose +

+Two stage training of RBF network. + +

+Description +

+net = rbftrain(net, options, x, t) uses a +two stage training +algorithm to set the weights in the RBF model structure net. +Each row of x corresponds to one +input vector and each row of t contains the corresponding target vector. +The centres are determined by fitting a Gaussian mixture model +with circular covariances using the EM algorithm through a call to +rbfsetbf. (The mixture model is +initialised using a small number of iterations of the K-means algorithm.) +If the activation functions are Gaussians, then the basis function widths +are then set to the maximum inter-centre squared distance. + +

For linear outputs, +the hidden to output +weights that give rise to the least squares solution +can then be determined using the pseudo-inverse. For neuroscale outputs, +the hidden to output weights are determined using the iterative shadow +targets algorithm. + Although this two stage +procedure may not give solutions with as low an error as using general +purpose non-linear optimisers, it is much faster. + +

The options vector may have two rows: if this is the case, then the second row +is passed to rbfsetbf, which allows the user to specify a different +number iterations for RBF and GMM training. +The optional parameters to rbftrain have the following interpretations. + +

options(1) is set to 1 to display error values during EM training. + +

options(2) is a measure of the precision required for the value +of the weights w at the solution. + +

options(3) is a measure of the precision required of the objective +function at the solution. Both this and the previous condition must be +satisfied for termination. + +

options(5) is set to 1 if the basis functions parameters should remain +unchanged; default 0. + +

options(6) is set to 1 if the output layer weights should be should +set using PCA. This is only relevant for Neuroscale outputs; default 0. + +

options(14) is the maximum number of iterations for the shadow +targets algorithm; +default 100. + +

+Example +

+The following example creates an RBF network and then trains it: +
+
+net = rbf(1, 4, 1, 'gaussian');
+options(1, :) = foptions;
+options(2, :) = foptions;
+options(2, 14) = 10;  % 10 iterations of EM
+options(2, 5)  = 1;   % Check for covariance collapse in EM
+net = rbftrain(net, options, x, t);
+
+ + +

+See Also +

+rbf, rbferr, rbffwd, rbfgrad, rbfpak, rbfunpak, rbfsetbf
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rbfunpak.htm b/sourcecodes/bnt-master/nethelp3.3/rbfunpak.htm new file mode 100644 index 00000000..20464916 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rbfunpak.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual rbfunpak + + + +

rbfunpak +

+

+Purpose +

+Separates a vector of RBF weights into its components. + +

+Synopsis +

+
+net = rbfunpak(net, w)
+
+ + +

+Description +

+net = rbfunpak(net, w) takes an RBF network data structure net and +a weight vector w, and returns a network data structure identical to +the input network, except that the centres +c, the widths wi, the second-layer +weight matrix w2 and the second-layer bias vector b2 have all +been set to the corresponding elements of w. + +

+See Also +

+rbfpak, rbf
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rosegrad.htm b/sourcecodes/bnt-master/nethelp3.3/rosegrad.htm new file mode 100644 index 00000000..fc4fa9d6 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rosegrad.htm @@ -0,0 +1,40 @@ + + + +Netlab Reference Manual rosegrad + + + +

rosegrad +

+

+Purpose +

+Calculate gradient of Rosenbrock's function. + +

+Synopsis +

+
+g = rosegrad(x)
+
+ + +

+Description +

+g = rosegrad(x) computes the gradient of Rosenbrock's function +at each row of x, which should have two columns. + +

+See Also +

+demopt1, rosen
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/rosen.htm b/sourcecodes/bnt-master/nethelp3.3/rosen.htm new file mode 100644 index 00000000..2b8f37aa --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/rosen.htm @@ -0,0 +1,40 @@ + + + +Netlab Reference Manual rosen + + + +

rosen +

+

+Purpose +

+Calculate Rosenbrock's function. + +

+Synopsis +

+
+y = rosen(x)
+
+ + +

+Description +

+y = rosen(x) computes the value of Rosenbrock's function +at each row of x, which should have two columns. + +

+See Also +

+demopt1, rosegrad
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/scg.htm b/sourcecodes/bnt-master/nethelp3.3/scg.htm new file mode 100644 index 00000000..e2e512e2 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/scg.htm @@ -0,0 +1,97 @@ + + + +Netlab Reference Manual scg + + + +

scg +

+

+Purpose +

+Scaled conjugate gradient optimization. + +

+Description +

+[x, options] = scg(f, x, options, gradf) uses a scaled conjugate +gradients +algorithm to find a local minimum of the function f(x) whose +gradient is given by gradf(x). Here x is a row vector +and f returns a scalar value. +The point at which f has a local minimum +is returned as x. The function value at that point is returned +in options(8). + +

[x, options, flog, pointlog, scalelog] = scg(f, x, options, gradf) +also returns (optionally) a log of the function values +after each cycle in flog, a log +of the points visited in pointlog, and a log of the scale values +in the algorithm in scalelog. + +

scg(f, x, options, gradf, p1, p2, ...) allows +additional arguments to be passed to f() and gradf(). + +The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs error +values in the return argument errlog, and the points visited +in the return argument pointslog. If options(1) is set to 0, +then only warning messages are displayed. If options(1) is -1, +then nothing is displayed. + +

options(2) is a measure of the absolute precision required for the value +of x at the solution. If the absolute difference between +the values of x between two successive steps is less than +options(2), then this condition is satisfied. + +

options(3) is a measure of the precision required of the objective +function at the solution. If the absolute difference between the +objective function values between two successive steps is less than +options(3), then this condition is satisfied. +Both this and the previous condition must be +satisfied for termination. + +

options(9) is set to 1 to check the user defined gradient function. + +

options(10) returns the total number of function evaluations (including +those in any line searches). + +

options(11) returns the total number of gradient evaluations. + +

options(14) is the maximum number of iterations; default 100. + +

+Examples +

+An example of +the use of the additional arguments is the minimization of an error +function for a neural network: +
+
+w = scg('neterr', w, options, 'netgrad', net, x, t);
+
+ + +

+Algorithm +

+The search direction is re-started after every nparams +successful weight updates where nparams is the total number of +parameters in x. The algorithm is based on that given by Williams +(1991), with a simplified procedure for updating lambda when +rho < 0.25. + +

+See Also +

+conjgrad, quasinew
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/som.htm b/sourcecodes/bnt-master/nethelp3.3/som.htm new file mode 100644 index 00000000..637e752a --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/som.htm @@ -0,0 +1,58 @@ + + + +Netlab Reference Manual som + + + +

som +

+

+Purpose +

+Creates a Self-Organising Map. + +

+Synopsis +

+
+
+net = som(nin, map_size)
+
+ + +

+Description +

+net = som(nin, map_size) creates a SOM net +with input dimension (i.e. data dimension) nin and map dimensions +map_size. Only two-dimensional maps are currently implemented. + +

The fields in net are +

+
+  type = 'som'
+  nin = number of inputs
+  map_dim = dimension of map (constrained to be 2)
+  map_size = grid size: number of nodes in each dimension
+  num_nodes = number of nodes: the product of values in map_size
+  map = map_dim+1 dimensional array containing nodes
+  inode_dist = map of inter-node distances using Manhatten metric
+
+ + +

The map contains the node vectors arranged column-wise in the first +dimension of the array. + +

+See Also +

+kmeans, somfwd, somtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/somfwd.htm b/sourcecodes/bnt-master/nethelp3.3/somfwd.htm new file mode 100644 index 00000000..82102b4c --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/somfwd.htm @@ -0,0 +1,59 @@ + + + +Netlab Reference Manual somfwd + + + +

somfwd +

+

+Purpose +

+Forward propagation through a Self-Organising Map. + +

+Synopsis +

+
+
+d2 = somfwd(net, x)
+
+ + +

+Description +

+d2 = somfwd(net, x) propagates the data matrix x through + a SOM net, returning the squared distance matrix d2 with +dimension nin by num_nodes. The $i$th row represents the +squared Euclidean distance to each of the nodes of the SOM. + +

[d2, win_nodes] = somfwd(net, x) also returns the indices of the +winning nodes for each pattern. + +

+Example +

+ +

The following code fragment creates a SOM with a $5times 5$ map for an +8-dimensional data space. It then applies the test data to the map. +

+
+net = som(8, [5, 5]);
+[d2, wn] = somfwd(net, test_data);
+
+ + +

+See Also +

+som, somtrain
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/sompak.htm b/sourcecodes/bnt-master/nethelp3.3/sompak.htm new file mode 100644 index 00000000..902ef52e --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/sompak.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual sompak + + + +

sompak +

+

+Purpose +

+Combines node weights into one weights matrix. + +

+Synopsis +

+
+c = sompak(net)
+
+ + +

+Description +

+c = sompak(net) takes a SOM data structure net and +combines the node weights into a matrix of centres +c where each row represents the node vector. + +

The ordering of the parameters in w is defined by the indexing of the +multi-dimensional array net.map. + +

+See Also +

+som, somunpak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/somtrain.htm b/sourcecodes/bnt-master/nethelp3.3/somtrain.htm new file mode 100644 index 00000000..ecf4e2cb --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/somtrain.htm @@ -0,0 +1,104 @@ + + + +Netlab Reference Manual somtrain + + + +

somtrain +

+

+Purpose +

+Kohonen training algorithm for SOM. + +

+Synopsis +

+
+
+net = somtrain{net, options, x)
+
+ + +

+Description +

+net = somtrain{net, options, x) uses Kohonen's algorithm to +train a SOM. Both on-line and batch algorithms are implemented. +The learning rate (for on-line) and neighbourhood size decay linearly. +There is no error function minimised during training (so there is +no termination criterion other than the number of epochs), but the +sum-of-squares is computed and returned in options(8). + +

The optional parameters have the following interpretations. + +

options(1) is set to 1 to display error values; also logs learning +rate alpha and neighbourhood size nsize. +Otherwise nothing is displayed. + +

options(5) determines whether the patterns are sampled randomly +with replacement. If it is 0 (the default), then patterns are sampled +in order. This is only relevant to the on-line algorithm. + +

options(6) determines if the on-line or batch algorithm is +used. If it is 1 +then the batch algorithm is used. If it is 0 +(the default) then the on-line algorithm is used. + +

options(14) is the maximum number of iterations (passes through +the complete pattern set); default 100. + +

options(15) is the final neighbourhood size; default value is the +same as the initial neighbourhood size. + +

options(16) is the final learning rate; default value is the same +as the initial learning rate. + +

options(17) is the initial neighbourhood size; default 0.5*maximum +map size. + +

options(18) is the initial learning rate; default 0.9. This parameter +must be positive. + +

+Examples +

+The following example performs on-line training on a SOM in two stages: +ordering and convergence. +
+
+net = som(nin, [8, 7]);
+options = foptions;
+
+

% Ordering phase +options(1) = 1; +options(14) = 50; +options(18) = 0.9; % Initial learning rate +options(16) = 0.05; % Final learning rate +options(17) = 8; % Initial neighbourhood size +options(15) = 1; % Final neighbourhood size +net2 = somtrain(net, options, x); + +

% Convergence phase +options(14) = 400; +options(18) = 0.05; +options(16) = 0.01; +options(17) = 0; +options(15) = 0; +net3 = somtrain(net2, options, x); +

+ + +

+See Also +

+kmeans, som, somfwd
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/nethelp3.3/somunpak.htm b/sourcecodes/bnt-master/nethelp3.3/somunpak.htm new file mode 100644 index 00000000..68032339 --- /dev/null +++ b/sourcecodes/bnt-master/nethelp3.3/somunpak.htm @@ -0,0 +1,44 @@ + + + +Netlab Reference Manual somunpak + + + +

somunpak +

+

+Purpose +

+Replaces node weights in SOM. + +

+Synopsis +

+
+net = somunpak(net, w)
+
+ + +

+Description +

+net = somunpak(net, w) takes a SOM data structure net and +weight matrix w (each node represented by a row) and +puts the nodes back into the multi-dimensional array net.map. + +

The ordering of the parameters in w is defined by the indexing of the +multi-dimensional array net.map. + +

+See Also +

+som, sompak
+Pages: +Index +
+

Copyright (c) Ian T Nabney (1996-9) + + + + \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/CVS/Entries b/sourcecodes/bnt-master/netlab3.3/CVS/Entries new file mode 100644 index 00000000..5a92ce95 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/CVS/Entries @@ -0,0 +1,180 @@ +/Contents.m/1.1.1.1/Wed Apr 27 17:59:04 2005// +/LICENSE/1.1.1.1/Wed Apr 27 17:59:04 2005// +/conffig.m/1.1.1.1/Wed Apr 27 17:59:04 2005// +/confmat.m/1.1.1.1/Wed Apr 27 17:59:04 2005// +/conjgrad.m/1.1.1.1/Wed Apr 27 17:59:04 2005// +/consist.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/convertoldnet.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/datread.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/datwrite.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/dem2ddat.m/1.1.1.1/Tue May 10 01:32:18 2005// +/demard.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demev1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demev2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demev3.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgauss.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demglm1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demglm2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgmm1.m/1.1.1.1/Sun May 8 17:51:14 2005// +/demgmm2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgmm3.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgmm4.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgmm5.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgp.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgpard.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgpot.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgtm1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demgtm2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demhint.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demhmc1.m/1.1.1.1/Tue May 24 00:03:34 2005// +/demhmc2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demhmc3.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demkmn1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demknn1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demmdn1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demmet1.m/1.1.1.1/Mon May 23 06:23:08 2005// +/demmlp1.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demmlp2.m/1.1.1.1/Wed Apr 27 17:59:06 2005// +/demnlab.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demns1.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demolgd1.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demopt1.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/dempot.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demprgp.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demprior.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demrbf1.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demsom1.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/demtrain.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/dist2.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/eigdec.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/errbayes.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/evidence.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/fevbayes.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gauss.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gbayes.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glm.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmderiv.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmerr.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmevfwd.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmfwd.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmgrad.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmhess.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glminit.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmpak.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmtrain.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/glmunpak.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmm.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmmactiv.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmmem.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmminit.m/1.1.1.1/Mon May 23 23:44:46 2005// +/gmmpak.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmmpost.m/1.1.1.1/Wed Apr 27 17:59:08 2005// +/gmmprob.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gmmsamp.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gmmunpak.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gp.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpcovar.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpcovarf.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpcovarp.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gperr.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpfwd.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpgrad.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpinit.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gppak.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gpunpak.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gradchek.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/graddesc.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gsamp.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtm.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmem.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmfwd.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtminit.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmlmean.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmlmode.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmmag.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmpost.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/gtmprob.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/hbayes.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/hesschek.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/hintmat.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/hinton.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/histp.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/hmc.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/kmeansNetlab.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/knn.m/1.1.1.1/Wed Apr 27 17:59:10 2005// +/knnfwd.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/linef.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/linemin.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/maxitmess.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdn.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdn2gmm.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdndist2.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnerr.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnfwd.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdngrad.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdninit.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnnet.mat/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnpak.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnpost.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnprob.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mdnunpak.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/metrop.m/1.1.1.1/Mon May 23 23:07:40 2005// +/minbrack.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlp.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpbkp.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpderiv.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlperr.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpevfwd.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpfwd.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpgrad.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlphdotv.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlphess.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlphint.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpinit.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlppak.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpprior.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlptrain.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/mlpunpak.m/1.1.1.1/Wed Apr 27 17:59:12 2005// +/netderiv.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/neterr.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netevfwd.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netgrad.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/nethess.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netinit.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netlab3.3.zip/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netlogo.mat/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netopt.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netpak.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/netunpak.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/oilTrn.dat/1.1.1.1/Wed Apr 27 17:59:14 2005// +/oilTst.dat/1.1.1.1/Wed Apr 27 17:59:14 2005// +/olgd.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/pca.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/plotmat.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/ppca.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/quasinew.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbf.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfbkp.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfderiv.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbferr.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfevfwd.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbffwd.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfgrad.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfhess.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfjacob.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfpak.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfprior.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfsetbf.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbfsetfw.m/1.1.1.1/Wed Apr 27 17:59:14 2005// +/rbftrain.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/rbfunpak.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/rosegrad.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/rosen.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/scg.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/som.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/somfwd.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/sompak.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/somtrain.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/somunpak.m/1.1.1.1/Wed Apr 27 17:59:16 2005// +/xor.dat/1.1.1.1/Wed Apr 27 17:59:16 2005// +D diff --git a/sourcecodes/bnt-master/netlab3.3/CVS/Repository b/sourcecodes/bnt-master/netlab3.3/CVS/Repository new file mode 100644 index 00000000..297cfa8a --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/CVS/Repository @@ -0,0 +1 @@ +FullBNT/netlab3.3 diff --git a/sourcecodes/bnt-master/netlab3.3/CVS/Root b/sourcecodes/bnt-master/netlab3.3/CVS/Root new file mode 100644 index 00000000..f3bd14a6 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/CVS/Root @@ -0,0 +1 @@ +:ext:nsaunier@bnt.cvs.sourceforge.net:/cvsroot/bnt diff --git a/sourcecodes/bnt-master/netlab3.3/Contents.m b/sourcecodes/bnt-master/netlab3.3/Contents.m new file mode 100644 index 00000000..aaf32e1f --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/Contents.m @@ -0,0 +1,176 @@ +% Netlab Toolbox +% Version 3.3.1 18-Jun-2004 +% +% conffig - Display a confusion matrix. +% confmat - Compute a confusion matrix. +% conjgrad - Conjugate gradients optimization. +% consist - Check that arguments are consistent. +% convertoldnet- Convert pre-2.3 release MLP and MDN nets to new format +% datread - Read data from an ascii file. +% datwrite - Write data to ascii file. +% dem2ddat - Generates two dimensional data for demos. +% demard - Automatic relevance determination using the MLP. +% demev1 - Demonstrate Bayesian regression for the MLP. +% demev2 - Demonstrate Bayesian classification for the MLP. +% demev3 - Demonstrate Bayesian regression for the RBF. +% demgauss - Demonstrate sampling from Gaussian distributions. +% demglm1 - Demonstrate simple classification using a generalized linear model. +% demglm2 - Demonstrate simple classification using a generalized linear model. +% demgmm1 - Demonstrate density modelling with a Gaussian mixture model. +% demgmm3 - Demonstrate density modelling with a Gaussian mixture model. +% demgmm4 - Demonstrate density modelling with a Gaussian mixture model. +% demgmm5 - Demonstrate density modelling with a PPCA mixture model. +% demgp - Demonstrate simple regression using a Gaussian Process. +% demgpard - Demonstrate ARD using a Gaussian Process. +% demgpot - Computes the gradient of the negative log likelihood for a mixture model. +% demgtm1 - Demonstrate EM for GTM. +% demgtm2 - Demonstrate GTM for visualisation. +% demhint - Demonstration of Hinton diagram for 2-layer feed-forward network. +% demhmc1 - Demonstrate Hybrid Monte Carlo sampling on mixture of two Gaussians. +% demhmc2 - Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +% demhmc3 - Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +% demkmean - Demonstrate simple clustering model trained with K-means. +% demknn1 - Demonstrate nearest neighbour classifier. +% demmdn1 - Demonstrate fitting a multi-valued function using a Mixture Density Network. +% demmet1 - Demonstrate Markov Chain Monte Carlo sampling on a Gaussian. +% demmlp1 - Demonstrate simple regression using a multi-layer perceptron +% demmlp2 - Demonstrate simple classification using a multi-layer perceptron +% demnlab - A front-end Graphical User Interface to the demos +% demns1 - Demonstrate Neuroscale for visualisation. +% demolgd1 - Demonstrate simple MLP optimisation with on-line gradient descent +% demopt1 - Demonstrate different optimisers on Rosenbrock's function. +% dempot - Computes the negative log likelihood for a mixture model. +% demprgp - Demonstrate sampling from a Gaussian Process prior. +% demprior - Demonstrate sampling from a multi-parameter Gaussian prior. +% demrbf1 - Demonstrate simple regression using a radial basis function network. +% demsom1 - Demonstrate SOM for visualisation. +% demtrain - Demonstrate training of MLP network. +% dist2 - Calculates squared distance between two sets of points. +% eigdec - Sorted eigendecomposition +% errbayes - Evaluate Bayesian error function for network. +% evidence - Re-estimate hyperparameters using evidence approximation. +% fevbayes - Evaluate Bayesian regularisation for network forward propagation. +% gauss - Evaluate a Gaussian distribution. +% gbayes - Evaluate gradient of Bayesian error function for network. +% glm - Create a generalized linear model. +% glmderiv - Evaluate derivatives of GLM outputs with respect to weights. +% glmerr - Evaluate error function for generalized linear model. +% glmevfwd - Forward propagation with evidence for GLM +% glmfwd - Forward propagation through generalized linear model. +% glmgrad - Evaluate gradient of error function for generalized linear model. +% glmhess - Evaluate the Hessian matrix for a generalised linear model. +% glminit - Initialise the weights in a generalized linear model. +% glmpak - Combines weights and biases into one weights vector. +% glmtrain - Specialised training of generalized linear model +% glmunpak - Separates weights vector into weight and bias matrices. +% gmm - Creates a Gaussian mixture model with specified architecture. +% gmmactiv - Computes the activations of a Gaussian mixture model. +% gmmem - EM algorithm for Gaussian mixture model. +% gmminit - Initialises Gaussian mixture model from data +% gmmpak - Combines all the parameters in a Gaussian mixture model into one vector. +% gmmpost - Computes the class posterior probabilities of a Gaussian mixture model. +% gmmprob - Computes the data probability for a Gaussian mixture model. +% gmmsamp - Sample from a Gaussian mixture distribution. +% gmmunpak - Separates a vector of Gaussian mixture model parameters into its components. +% gp - Create a Gaussian Process. +% gpcovar - Calculate the covariance for a Gaussian Process. +% gpcovarf - Calculate the covariance function for a Gaussian Process. +% gpcovarp - Calculate the prior covariance for a Gaussian Process. +% gperr - Evaluate error function for Gaussian Process. +% gpfwd - Forward propagation through Gaussian Process. +% gpgrad - Evaluate error gradient for Gaussian Process. +% gpinit - Initialise Gaussian Process model. +% gppak - Combines GP hyperparameters into one vector. +% gpunpak - Separates hyperparameter vector into components. +% gradchek - Checks a user-defined gradient function using finite differences. +% graddesc - Gradient descent optimization. +% gsamp - Sample from a Gaussian distribution. +% gtm - Create a Generative Topographic Map. +% gtmem - EM algorithm for Generative Topographic Mapping. +% gtmfwd - Forward propagation through GTM. +% gtminit - Initialise the weights and latent sample in a GTM. +% gtmlmean - Mean responsibility for data in a GTM. +% gtmlmode - Mode responsibility for data in a GTM. +% gtmmag - Magnification factors for a GTM +% gtmpost - Latent space responsibility for data in a GTM. +% gtmprob - Probability for data under a GTM. +% hbayes - Evaluate Hessian of Bayesian error function for network. +% hesschek - Use central differences to confirm correct evaluation of Hessian matrix. +% hintmat - Evaluates the coordinates of the patches for a Hinton diagram. +% hinton - Plot Hinton diagram for a weight matrix. +% histp - Histogram estimate of 1-dimensional probability distribution. +% hmc - Hybrid Monte Carlo sampling. +% kmeans - Trains a k means cluster model. +% knn - Creates a K-nearest-neighbour classifier. +% knnfwd - Forward propagation through a K-nearest-neighbour classifier. +% linef - Calculate function value along a line. +% linemin - One dimensional minimization. +% maxitmess- Create a standard error message when training reaches max. iterations. +% mdn - Creates a Mixture Density Network with specified architecture. +% mdn2gmm - Converts an MDN mixture data structure to array of GMMs. +% mdndist2 - Calculates squared distance between centres of Gaussian kernels and data +% mdnerr - Evaluate error function for Mixture Density Network. +% mdnfwd - Forward propagation through Mixture Density Network. +% mdngrad - Evaluate gradient of error function for Mixture Density Network. +% mdninit - Initialise the weights in a Mixture Density Network. +% mdnpak - Combines weights and biases into one weights vector. +% mdnpost - Computes the posterior probability for each MDN mixture component. +% mdnprob - Computes the data probability likelihood for an MDN mixture structure. +% mdnunpak - Separates weights vector into weight and bias matrices. +% metrop - Markov Chain Monte Carlo sampling with Metropolis algorithm. +% minbrack - Bracket a minimum of a function of one variable. +% mlp - Create a 2-layer feedforward network. +% mlpbkp - Backpropagate gradient of error function for 2-layer network. +% mlpderiv - Evaluate derivatives of network outputs with respect to weights. +% mlperr - Evaluate error function for 2-layer network. +% mlpevfwd - Forward propagation with evidence for MLP +% mlpfwd - Forward propagation through 2-layer network. +% mlpgrad - Evaluate gradient of error function for 2-layer network. +% mlphdotv - Evaluate the product of the data Hessian with a vector. +% mlphess - Evaluate the Hessian matrix for a multi-layer perceptron network. +% mlphint - Plot Hinton diagram for 2-layer feed-forward network. +% mlpinit - Initialise the weights in a 2-layer feedforward network. +% mlppak - Combines weights and biases into one weights vector. +% mlpprior - Create Gaussian prior for mlp. +% mlptrain - Utility to train an MLP network for demtrain +% mlpunpak - Separates weights vector into weight and bias matrices. +% netderiv - Evaluate derivatives of network outputs by weights generically. +% neterr - Evaluate network error function for generic optimizers +% netevfwd - Generic forward propagation with evidence for network +% netgrad - Evaluate network error gradient for generic optimizers +% nethess - Evaluate network Hessian +% netinit - Initialise the weights in a network. +% netopt - Optimize the weights in a network model. +% netpak - Combines weights and biases into one weights vector. +% netunpak - Separates weights vector into weight and bias matrices. +% olgd - On-line gradient descent optimization. +% pca - Principal Components Analysis +% plotmat - Display a matrix. +% ppca - Probabilistic Principal Components Analysis +% quasinew - Quasi-Newton optimization. +% rbf - Creates an RBF network with specified architecture +% rbfbkp - Backpropagate gradient of error function for RBF network. +% rbfderiv - Evaluate derivatives of RBF network outputs with respect to weights. +% rbferr - Evaluate error function for RBF network. +% rbfevfwd - Forward propagation with evidence for RBF +% rbffwd - Forward propagation through RBF network with linear outputs. +% rbfgrad - Evaluate gradient of error function for RBF network. +% rbfhess - Evaluate the Hessian matrix for RBF network. +% rbfjacob - Evaluate derivatives of RBF network outputs with respect to inputs. +% rbfpak - Combines all the parameters in an RBF network into one weights vector. +% rbfprior - Create Gaussian prior and output layer mask for RBF. +% rbfsetbf - Set basis functions of RBF from data. +% rbfsetfw - Set basis function widths of RBF. +% rbftrain - Two stage training of RBF network. +% rbfunpak - Separates a vector of RBF weights into its components. +% rosegrad - Calculate gradient of Rosenbrock's function. +% rosen - Calculate Rosenbrock's function. +% scg - Scaled conjugate gradient optimization. +% som - Creates a Self-Organising Map. +% somfwd - Forward propagation through a Self-Organising Map. +% sompak - Combines node weights into one weights matrix. +% somtrain - Kohonen training algorithm for SOM. +% somunpak - Replaces node weights in SOM. +% +% Copyright (c) Ian T Nabney (1996-2001) +% diff --git a/sourcecodes/bnt-master/netlab3.3/LICENSE b/sourcecodes/bnt-master/netlab3.3/LICENSE new file mode 100644 index 00000000..0dd4a362 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/LICENSE @@ -0,0 +1,42 @@ + Copyright (c) 1996-2001, Ian T. Nabney + All rights reserved. + + Redistribution and use in source and binary + forms, with or without modification, are + permitted provided that the following + conditions are met: + + * Redistributions of source code must + retain the above copyright notice, this + list of conditions and the following + disclaimer. + * Redistributions in binary form must + reproduce the above copyright notice, + this list of conditions and the + following disclaimer in the + documentation and/or other materials + provided with the distribution. + * Neither the name of the Aston University, Birmingham, U.K. + nor the names of its contributors may be + used to endorse or promote products + derived from this software without + specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT + HOLDERS AND CONTRIBUTORS "AS IS" AND ANY + EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT + NOT LIMITED TO, THE IMPLIED WARRANTIES OF + MERCHANTABILITY AND FITNESS FOR A PARTICULAR + PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT + OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + HOWEVER CAUSED AND ON ANY THEORY OF + LIABILITY, WHETHER IN CONTRACT, STRICT + LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR + OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + OF THIS SOFTWARE, EVEN IF ADVISED OF THE + POSSIBILITY OF SUCH DAMAGE. diff --git a/sourcecodes/bnt-master/netlab3.3/conffig.m b/sourcecodes/bnt-master/netlab3.3/conffig.m new file mode 100644 index 00000000..23d774e0 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/conffig.m @@ -0,0 +1,29 @@ +function fh=conffig(y, t) +%CONFFIG Display a confusion matrix. +% +% Description +% CONFFIG(Y, T) displays the confusion matrix and classification +% performance for the predictions mat{y} compared with the targets T. +% The data is assumed to be in a 1-of-N encoding, unless there is just +% one column, when it is assumed to be a 2 class problem with a 0-1 +% encoding. Each row of Y and T corresponds to a single example. +% +% In the confusion matrix, the rows represent the true classes and the +% columns the predicted classes. +% +% FH = CONFFIG(Y, T) also returns the figure handle FH which can be +% used, for instance, to delete the figure when it is no longer needed. +% +% See also +% CONFMAT, DEMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[C, rate] = confmat(y, t); + +fh = figure('Name', 'Confusion matrix', ... + 'NumberTitle', 'off'); + +plotmat(C, 'k', 'k', 14); +title(['Classification rate: ' num2str(rate(1)) '%'], 'FontSize', 14); diff --git a/sourcecodes/bnt-master/netlab3.3/confmat.m b/sourcecodes/bnt-master/netlab3.3/confmat.m new file mode 100644 index 00000000..e03315bb --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/confmat.m @@ -0,0 +1,56 @@ +function [C,rate]=confmat(Y,T) +%CONFMAT Compute a confusion matrix. +% +% Description +% [C, RATE] = CONFMAT(Y, T) computes the confusion matrix C and +% classification performance RATE for the predictions mat{y} compared +% with the targets T. The data is assumed to be in a 1-of-N encoding, +% unless there is just one column, when it is assumed to be a 2 class +% problem with a 0-1 encoding. Each row of Y and T corresponds to a +% single example. +% +% In the confusion matrix, the rows represent the true classes and the +% columns the predicted classes. The vector RATE has two entries: the +% percentage of correct classifications and the total number of correct +% classifications. +% +% See also +% CONFFIG, DEMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[n c]=size(Y); +[n2 c2]=size(T); + +if n~=n2 | c~=c2 + error('Outputs and targets are different sizes') +end + +if c > 1 + % Find the winning class assuming 1-of-N encoding + [maximum Yclass] = max(Y', [], 1); + + TL=[1:c]*T'; +else + % Assume two classes with 0-1 encoding + c = 2; + class2 = find(T > 0.5); + TL = ones(n, 1); + TL(class2) = 2; + class2 = find(Y > 0.5); + Yclass = ones(n, 1); + Yclass(class2) = 2; +end + +% Compute +correct = (Yclass==TL); +total=sum(sum(correct)); +rate=[total*100/n total]; + +C=zeros(c,c); +for i=1:c + for j=1:c + C(i,j) = sum((Yclass==j).*(TL==i)); + end +end diff --git a/sourcecodes/bnt-master/netlab3.3/conjgrad.m b/sourcecodes/bnt-master/netlab3.3/conjgrad.m new file mode 100644 index 00000000..d459af2d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/conjgrad.m @@ -0,0 +1,168 @@ +function [x, options, flog, pointlog] = conjgrad(f, x, options, gradf, ... + varargin) +%CONJGRAD Conjugate gradients optimization. +% +% Description +% [X, OPTIONS, FLOG, POINTLOG] = CONJGRAD(F, X, OPTIONS, GRADF) uses a +% conjugate gradients algorithm to find the minimum of the function +% F(X) whose gradient is given by GRADF(X). Here X is a row vector and +% F returns a scalar value. The point at which F has a local minimum +% is returned as X. The function value at that point is returned in +% OPTIONS(8). A log of the function values after each cycle is +% (optionally) returned in FLOG, and a log of the points visited is +% (optionally) returned in POINTLOG. +% +% CONJGRAD(F, X, OPTIONS, GRADF, P1, P2, ...) allows additional +% arguments to be passed to F() and GRADF(). +% +% The optional parameters have the following interpretations. +% +% OPTIONS(1) is set to 1 to display error values; also logs error +% values in the return argument ERRLOG, and the points visited in the +% return argument POINTSLOG. If OPTIONS(1) is set to 0, then only +% warning messages are displayed. If OPTIONS(1) is -1, then nothing is +% displayed. +% +% OPTIONS(2) is a measure of the absolute precision required for the +% value of X at the solution. If the absolute difference between the +% values of X between two successive steps is less than OPTIONS(2), +% then this condition is satisfied. +% +% OPTIONS(3) is a measure of the precision required of the objective +% function at the solution. If the absolute difference between the +% objective function values between two successive steps is less than +% OPTIONS(3), then this condition is satisfied. Both this and the +% previous condition must be satisfied for termination. +% +% OPTIONS(9) is set to 1 to check the user defined gradient function. +% +% OPTIONS(10) returns the total number of function evaluations +% (including those in any line searches). +% +% OPTIONS(11) returns the total number of gradient evaluations. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% OPTIONS(15) is the precision in parameter space of the line search; +% default 1E-4. +% +% See also +% GRADDESC, LINEMIN, MINBRACK, QUASINEW, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Set up the options. +if length(options) < 18 + error('Options vector too short') +end + +if(options(14)) + niters = options(14); +else + niters = 100; +end + +% Set up options for line search +line_options = foptions; +% Need a precise line search for success +if options(15) > 0 + line_options(2) = options(15); +else + line_options(2) = 1e-4; +end + +display = options(1); + +% Next two lines allow conjgrad to work with expression strings +f = fcnchk(f, length(varargin)); +gradf = fcnchk(gradf, length(varargin)); + +% Check gradients +if (options(9)) + feval('gradchek', x, f, gradf, varargin{:}); +end + +options(10) = 0; +options(11) = 0; +nparams = length(x); +fnew = feval(f, x, varargin{:}); +options(10) = options(10) + 1; +gradnew = feval(gradf, x, varargin{:}); +options(11) = options(11) + 1; +d = -gradnew; % Initial search direction +br_min = 0; +br_max = 1.0; % Initial value for maximum distance to search along +tol = sqrt(eps); + +j = 1; +if nargout >= 3 + flog(j, :) = fnew; + if nargout == 4 + pointlog(j, :) = x; + end +end + +while (j <= niters) + + xold = x; + fold = fnew; + gradold = gradnew; + + gg = gradold*gradold'; + if (gg == 0.0) + % If the gradient is zero then we are done. + options(8) = fnew; + return; + end + + % This shouldn't occur, but rest of code depends on d being downhill + if (gradnew*d' > 0) + d = -d; + if options(1) >= 0 + warning('search direction uphill in conjgrad'); + end + end + + line_sd = d./norm(d); + [lmin, line_options] = feval('linemin', f, xold, line_sd, fold, ... + line_options, varargin{:}); + options(10) = options(10) + line_options(10); + options(11) = options(11) + line_options(11); + % Set x and fnew to be the actual search point we have found + x = xold + lmin * line_sd; + fnew = line_options(8); + + % Check for termination + if (max(abs(x - xold)) < options(2) & max(abs(fnew - fold)) < options(3)) + options(8) = fnew; + return; + end + + gradnew = feval(gradf, x, varargin{:}); + options(11) = options(11) + 1; + + % Use Polak-Ribiere formula to update search direction + gamma = ((gradnew - gradold)*(gradnew)')/gg; + d = (d .* gamma) - gradnew; + + if (display > 0) + fprintf(1, 'Cycle %4d Function %11.6f\n', j, line_options(8)); + end + + j = j + 1; + if nargout >= 3 + flog(j, :) = fnew; + if nargout == 4 + pointlog(j, :) = x; + end + end +end + +% If we get here, then we haven't terminated in the given number of +% iterations. + +options(8) = fold; +if (options(1) >= 0) + disp(maxitmess); +end diff --git a/sourcecodes/bnt-master/netlab3.3/consist.m b/sourcecodes/bnt-master/netlab3.3/consist.m new file mode 100644 index 00000000..9305b265 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/consist.m @@ -0,0 +1,87 @@ +function errstring = consist(model, type, inputs, outputs) +%CONSIST Check that arguments are consistent. +% +% Description +% +% ERRSTRING = CONSIST(NET, TYPE, INPUTS) takes a network data structure +% NET together with a string TYPE containing the correct network type, +% a matrix INPUTS of input vectors and checks that the data structure +% is consistent with the other arguments. An empty string is returned +% if there is no error, otherwise the string contains the relevant +% error message. If the TYPE string is empty, then any type of network +% is allowed. +% +% ERRSTRING = CONSIST(NET, TYPE) takes a network data structure NET +% together with a string TYPE containing the correct network type, and +% checks that the two types match. +% +% ERRSTRING = CONSIST(NET, TYPE, INPUTS, OUTPUTS) also checks that the +% network has the correct number of outputs, and that the number of +% patterns in the INPUTS and OUTPUTS is the same. The fields in NET +% that are used are +% type +% nin +% nout +% +% See also +% MLPFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Assume that all is OK as default +errstring = ''; + +% If type string is not empty +if ~isempty(type) + % First check that model has type field + if ~isfield(model, 'type') + errstring = 'Data structure does not contain type field'; + return + end + % Check that model has the correct type + s = model.type; + if ~strcmp(s, type) + errstring = ['Model type ''', s, ''' does not match expected type ''',... + type, '''']; + return + end +end + +% If inputs are present, check that they have correct dimension +if nargin > 2 + if ~isfield(model, 'nin') + errstring = 'Data structure does not contain nin field'; + return + end + + data_nin = size(inputs, 2); + if model.nin ~= data_nin + errstring = ['Dimension of inputs ', num2str(data_nin), ... + ' does not match number of model inputs ', num2str(model.nin)]; + return + end +end + +% If outputs are present, check that they have correct dimension +if nargin > 3 + if ~isfield(model, 'nout') + errstring = 'Data structure does not conatin nout field'; + return + end + data_nout = size(outputs, 2); + if model.nout ~= data_nout + errstring = ['Dimension of outputs ', num2str(data_nout), ... + ' does not match number of model outputs ', num2str(model.nout)]; + return + end + +% Also check that number of data points in inputs and outputs is the same + num_in = size(inputs, 1); + num_out = size(outputs, 1); + if num_in ~= num_out + errstring = ['Number of input patterns ', num2str(num_in), ... + ' does not match number of output patterns ', num2str(num_out)]; + return + end +end diff --git a/sourcecodes/bnt-master/netlab3.3/convertoldnet.m b/sourcecodes/bnt-master/netlab3.3/convertoldnet.m new file mode 100644 index 00000000..bf281c83 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/convertoldnet.m @@ -0,0 +1,26 @@ +function net = convertoldnet(net) +%CONVERTOLDNET Convert pre-2.3 release MLP and MDN nets to new format +% +% Description +% NET = CONVERTOLDNET(NET) takes a network NET and, if appropriate, +% converts it from pre-2.3 to the current format. The difference is +% simply that in MLPs and the MLP sub-net of MDNs the field ACTFN has +% been renamed OUTFN to make it consistent with GLM and RBF networks. +% If the network is not old-format or an MLP or MDN it is left +% unchanged. +% +% See also +% MLP, MDN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +switch net.type + case 'mlp' + if (isfield(net, 'actfn')) + net.outfn = net.actfn; + net = rmfield(net, 'actfn'); + end + case 'mdn' + net.mlp = convertoldnet(net.mlp); +end diff --git a/sourcecodes/bnt-master/netlab3.3/datread.m b/sourcecodes/bnt-master/netlab3.3/datread.m new file mode 100644 index 00000000..f729ef53 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/datread.m @@ -0,0 +1,99 @@ +function [x, t, nin, nout, ndata] = datread(filename) +%DATREAD Read data from an ascii file. +% +% Description +% +% [X, T, NIN, NOUT, NDATA] = DATREAD(FILENAME) reads from the file +% FILENAME and returns a matrix X of input vectors, a matrix T of +% target vectors, and integers NIN, NOUT and NDATA specifying the +% number of inputs, the number of outputs and the number of data points +% respectively. +% +% The format of the data file is as follows: the first row contains the +% string NIN followed by the number of inputs, the second row contains +% the string NOUT followed by the number of outputs, and the third row +% contains the string NDATA followed by the number of data vectors. +% Subsequent lines each contain one input vector followed by one output +% vector, with individual values separated by spaces. +% +% See also +% nin 2 nout 1 ndata 4 0.000000e+00 0.000000e+00 +% 1.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00 +% 1.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00 +% 1.000000e+00 1.000000e+00 See Also +% DATWRITE +% + +% Copyright (c) Ian T Nabney (1996-2001) + +fid = fopen(filename, 'rt'); +if fid == -1 + error('Failed to open file.') +end + +% Read number of inputs +s1 = fscanf(fid, '%s', 1); +if ~strcmp(s1, 'nin') + fclose(fid); + error('String ''nin'' not found') +end +nin = fscanf(fid, '%d\n', 1); +if ~isnumeric(nin) + fclose(fid); + error('No number for nin') +end +if nin < 0 | round(nin) ~= nin + fclose(fid); + error('nin must be a non-negative integer') +end + +% Read number of outputs +s2 = fscanf(fid, '%s', 1); +if ~strcmp(s2, 'nout') + fclose(fid); + error('String ''nout'' not found') +end +nout = fscanf(fid, '%d\n', 1); +if ~isnumeric(nout) + fclose(fid); + error('No number for nout') +end +if nout < 0 | round(nout) ~= nout + fclose(fid); + error('nout must be a non-negative integer') +end + +% Read number of data values +s3 = fscanf(fid, '%s', 1); +if ~strcmp(s3, 'ndata') + fclose(fid); + error('String ''ndata'' not found') +end +ndata = fscanf(fid, '%d\n', 1); +if ~isnumeric(ndata) + fclose(fid); + error('No number for ndata') +end +if ndata < 0 | round(ndata) ~= ndata + fclose(fid); + error('ndata must be a non-negative integer') +end + +% The following line reads all of the remaining data to the end of file. +temp = fscanf(fid, '%f', inf); + +% Check that size of temp is correct +if size(temp, 1) * size(temp,2) ~= (nin+nout) * ndata + fclose(fid); + error('Incorrect number of elements in file') +end + +temp = reshape(temp, nin + nout, ndata)'; +x = temp(:, 1:nin); +t = temp(:, nin + 1 : nin + nout); + +flag = fclose(fid); +if flag == -1 + error('Failed to close file.') +end + diff --git a/sourcecodes/bnt-master/netlab3.3/datwrite.m b/sourcecodes/bnt-master/netlab3.3/datwrite.m new file mode 100644 index 00000000..75df14d1 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/datwrite.m @@ -0,0 +1,44 @@ +function datwrite(filename, x, t) +%DATWRITE Write data to ascii file. +% +% Description +% +% DATWRITE(FILENAME, X, T) takes a matrix X of input vectors and a +% matrix T of target vectors and writes them to an ascii file named +% FILENAME. The file format is as follows: the first row contains the +% string NIN followed by the number of inputs, the second row contains +% the string NOUT followed by the number of outputs, and the third row +% contains the string NDATA followed by the number of data vectors. +% Subsequent lines each contain one input vector followed by one output +% vector, with individual values separated by spaces. +% +% See also +% DATREAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +nin = size(x, 2); +nout = size(t, 2); +ndata = size(x, 1); + +fid = fopen(filename, 'wt'); +if fid == -1 + error('Failed to open file.') +end + +if size(t, 1) ~= ndata + error('x and t must have same number of rows.'); +end + +fprintf(fid, ' nin %d\n nout %d\n ndata %d\n', nin , nout, ndata); +for i = 1 : ndata + fprintf(fid, '%13e ', x(i,:), t(i,:)); + fprintf(fid, '\n'); +end + +flag = fclose(fid); +if flag == -1 + error('Failed to close file.') +end + diff --git a/sourcecodes/bnt-master/netlab3.3/dem2ddat.m b/sourcecodes/bnt-master/netlab3.3/dem2ddat.m new file mode 100644 index 00000000..abdb7cc7 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/dem2ddat.m @@ -0,0 +1,48 @@ +function [data, c, prior, sd] = dem2ddat(ndata) +%DEM2DDAT Generates two dimensional data for demos. +% +% Description +% The data is drawn from three spherical Gaussian distributions with +% priors 0.3, 0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and +% standard deviations 0.2, 0.5 and 1.0. DATA = DEM2DDAT(NDATA) +% generates NDATA points. +% +% [DATA, C] = DEM2DDAT(NDATA) also returns a matrix containing the +% centres of the Gaussian distributions. +% +% See also +% DEMGMM1, DEMKMEAN, DEMKNN1 +% + +% Copyright (c) Ian T Nabney (1996-2001) + +input_dim = 2; + +% Fix seed for reproducible results +randn('state', 42); + +% Generate mixture of three Gaussians in two dimensional space +data = randn(ndata, input_dim); + +% Priors for the three clusters +prior(1) = 0.3; +prior(2) = 0.5; +prior(3) = 0.2; + +% Cluster centres +c = [2.0, 3.5; 0.0, 0.0; 0.0, 2.0]; + +% Cluster standard deviations +sd = [0.2 0.5 1.0]; + +% Put first cluster at (2, 3.5) +data(1:prior(1)*ndata, 1) = data(1:prior(1)*ndata, 1) * 0.2 + c(1,1); +data(1:prior(1)*ndata, 2) = data(1:prior(1)*ndata, 2) * 0.2 + c(1,2); + +% Leave second cluster at (0,0) +data((prior(1)*ndata + 1):(prior(2)+prior(1))*ndata, :) = ... + data((prior(1)*ndata + 1):(prior(2)+prior(1))*ndata, :) * 0.5; + +% Put third cluster at (0,2) +data((prior(1)+prior(2))*ndata +1:ndata, 2) = ... + data((prior(1)+prior(2))*ndata+1:ndata, 2) + c(3, 2); diff --git a/sourcecodes/bnt-master/netlab3.3/demard.m b/sourcecodes/bnt-master/netlab3.3/demard.m new file mode 100644 index 00000000..83478305 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demard.m @@ -0,0 +1,157 @@ +%DEMARD Automatic relevance determination using the MLP. +% +% Description +% This script demonstrates the technique of automatic relevance +% determination (ARD) using a synthetic problem having three input +% variables: X1 is sampled uniformly from the range (0,1) and has a low +% level of added Gaussian noise, X2 is a copy of X1 with a higher level +% of added noise, and X3 is sampled randomly from a Gaussian +% distribution. The single target variable is determined by +% SIN(2*PI*X1) with additive Gaussian noise. Thus X1 is very relevant +% for determining the target value, X2 is of some relevance, while X3 +% is irrelevant. The prior over weights is given by the ARD Gaussian +% prior with a separate hyper-parameter for the group of weights +% associated with each input. A multi-layer perceptron is trained on +% this data, with re-estimation of the hyper-parameters using EVIDENCE. +% The final values for the hyper-parameters reflect the relative +% importance of the three inputs. +% +% See also +% DEMMLP1, DEMEV1, MLP, EVIDENCE +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc; +disp('This demonstration illustrates the technique of automatic relevance') +disp('determination (ARD) using a multi-layer perceptron.') +disp(' '); +disp('First, we set up a synthetic data set involving three input variables:') +disp('x1 is sampled uniformly from the range (0,1) and has a low level of') +disp('added Gaussian noise, x2 is a copy of x1 with a higher level of added') +disp('noise, and x3 is sampled randomly from a Gaussian distribution. The') +disp('single target variable is given by t = sin(2*pi*x1) with additive') +disp('Gaussian noise. Thus x1 is very relevant for determining the target') +disp('value, x2 is of some relevance, while x3 should in principle be') +disp('irrelevant.') +disp(' '); +disp('Press any key to see a plot of t against x1.') +pause; + +% Generate the data set. +randn('state', 0); +rand('state', 0); +ndata = 100; +noise = 0.05; +x1 = rand(ndata, 1) + 0.002*randn(ndata, 1); +x2 = x1 + 0.02*randn(ndata, 1); +x3 = 0.5 + 0.2*randn(ndata, 1); +x = [x1, x2, x3]; +t = sin(2*pi*x1) + noise*randn(ndata, 1); + +% Plot the data and the original function. +h = figure; +plotvals = linspace(0, 1, 200)'; +plot(x1, t, 'ob') +hold on +axis([0 1 -1.5 1.5]) +[fx, fy] = fplot('sin(2*pi*x)', [0 1]); +plot(fx, fy, '-g', 'LineWidth', 2); +legend('data', 'function'); + +disp(' '); +disp('Press any key to continue') +pause; clc; + +disp('The prior over weights is given by the ARD Gaussian prior with a') +disp('separate hyper-parameter for the group of weights associated with each') +disp('input. This prior is set up using the utility MLPPRIOR. The network is') +disp('trained by error minimization using scaled conjugate gradient function') +disp('SCG. There are two cycles of training, and at the end of each cycle') +disp('the hyper-parameters are re-estimated using EVIDENCE.') +disp(' '); +disp('Press any key to create and train the network.') +disp(' '); +pause; + +% Set up network parameters. +nin = 3; % Number of inputs. +nhidden = 2; % Number of hidden units. +nout = 1; % Number of outputs. +aw1 = 0.01*ones(1, nin); % First-layer ARD hyperparameters. +ab1 = 0.01; % Hyperparameter for hidden unit biases. +aw2 = 0.01; % Hyperparameter for second-layer weights. +ab2 = 0.01; % Hyperparameter for output unit biases. +beta = 50.0; % Coefficient of data error. + +% Create and initialize network. +prior = mlpprior(nin, nhidden, nout, aw1, ab1, aw2, ab2); +net = mlp(nin, nhidden, nout, 'linear', prior, beta); + +% Set up vector of options for the optimiser. +nouter = 2; % Number of outer loops +ninner = 10; % Number of inner loops +options = zeros(1,18); % Default options vector. +options(1) = 1; % This provides display of error values. +options(2) = 1.0e-7; % This ensures that convergence must occur +options(3) = 1.0e-7; +options(14) = 300; % Number of training cycles in inner loop. + +% Train using scaled conjugate gradients, re-estimating alpha and beta. +for k = 1:nouter + net = netopt(net, options, x, t, 'scg'); + [net, gamma] = evidence(net, x, t, ninner); + fprintf(1, '\n\nRe-estimation cycle %d:\n', k); + disp('The first three alphas are the hyperparameters for the corresponding'); + disp('input to hidden unit weights. The remainder are the hyperparameters'); + disp('for the hidden unit biases, second layer weights and output unit') + disp('biases, respectively.') + fprintf(1, ' alpha = %8.5f\n', net.alpha); + fprintf(1, ' beta = %8.5f\n', net.beta); + fprintf(1, ' gamma = %8.5f\n\n', gamma); + disp(' ') + disp('Press any key to continue.') + pause +end + +% Plot the function corresponding to the trained network. +figure(h); hold on; +[y, z] = mlpfwd(net, plotvals*ones(1,3)); +plot(plotvals, y, '-r', 'LineWidth', 2) +legend('data', 'function', 'network'); + +disp('Press any key to continue.'); +pause; clc; + +disp('We can now read off the hyperparameter values corresponding to the') +disp('three inputs x1, x2 and x3:') +disp(' '); +fprintf(1, ' alpha1: %8.5f\n', net.alpha(1)); +fprintf(1, ' alpha2: %8.5f\n', net.alpha(2)); +fprintf(1, ' alpha3: %8.5f\n', net.alpha(3)); +disp(' '); +disp('Since each alpha corresponds to an inverse variance, we see that the') +disp('posterior variance for weights associated with input x1 is large, that') +disp('of x2 has an intermediate value and the variance of weights associated') +disp('with x3 is small.') +disp(' ') +disp('Press any key to continue.') +disp(' ') +pause +disp('This is confirmed by looking at the corresponding weight values:') +disp(' '); +fprintf(1, ' %8.5f %8.5f\n', net.w1'); +disp(' '); +disp('where the three rows correspond to weights asssociated with x1, x2 and') +disp('x3 respectively. We see that the network is giving greatest emphasis') +disp('to x1 and least emphasis to x3, with intermediate emphasis on') +disp('x2. Since the target t is statistically independent of x3 we might') +disp('expect the weights associated with this input would go to') +disp('zero. However, for any finite data set there may be some chance') +disp('correlation between x3 and t, and so the corresponding alpha remains') +disp('finite.') + +disp(' '); +disp('Press any key to end.') +pause; clc; close(h); clear all + diff --git a/sourcecodes/bnt-master/netlab3.3/demev1.m b/sourcecodes/bnt-master/netlab3.3/demev1.m new file mode 100644 index 00000000..b8fd7464 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demev1.m @@ -0,0 +1,146 @@ +%DEMEV1 Demonstrate Bayesian regression for the MLP. +% +% Description +% The problem consists an input variable X which sampled from a +% Gaussian distribution, and a target variable T generated by computing +% SIN(2*PI*X) and adding Gaussian noise. A 2-layer network with linear +% outputs is trained by minimizing a sum-of-squares error function with +% isotropic Gaussian regularizer, using the scaled conjugate gradient +% optimizer. The hyperparameters ALPHA and BETA are re-estimated using +% the function EVIDENCE. A graph is plotted of the original function, +% the training data, the trained network function, and the error bars. +% +% See also +% EVIDENCE, MLP, SCG, DEMARD, DEMMLP1 +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc; +disp('This demonstration illustrates the application of Bayesian') +disp('re-estimation to determine the hyperparameters in a simple regression') +disp('problem. It is based on a local quadratic approximation to a mode of') +disp('the posterior distribution and the evidence maximization framework of') +disp('MacKay.') +disp(' ') +disp('First, we generate a synthetic data set consisting of a single input') +disp('variable x sampled from a Gaussian distribution, and a target variable') +disp('t obtained by evaluating sin(2*pi*x) and adding Gaussian noise.') +disp(' ') +disp('Press any key to see a plot of the data together with the sine function.') +pause; + +% Generate the matrix of inputs x and targets t. + +ndata = 16; % Number of data points. +noise = 0.1; % Standard deviation of noise distribution. +randn('state', 0); +x = 0.25 + 0.07*randn(ndata, 1); +t = sin(2*pi*x) + noise*randn(size(x)); + +% Plot the data and the original sine function. +h = figure; +nplot = 200; +plotvals = linspace(0, 1, nplot)'; +plot(x, t, 'ok') +xlabel('Input') +ylabel('Target') +hold on +axis([0 1 -1.5 1.5]) +fplot('sin(2*pi*x)', [0 1], '-g') +legend('data', 'function'); + +disp(' ') +disp('Press any key to continue') +pause; clc; + +disp('Next we create a two-layer MLP network having 3 hidden units and one') +disp('linear output. The model assumes Gaussian target noise governed by an') +disp('inverse variance hyperparmeter beta, and uses a simple Gaussian prior') +disp('distribution governed by an inverse variance hyperparameter alpha.') +disp(' '); +disp('The network weights and the hyperparameters are initialised and then') +disp('the weights are optimized with the scaled conjugate gradient') +disp('algorithm using the SCG function, with the hyperparameters kept') +disp('fixed. After a maximum of 500 iterations, the hyperparameters are') +disp('re-estimated using the EVIDENCE function. The process of optimizing') +disp('the weights with fixed hyperparameters and then re-estimating the') +disp('hyperparameters is repeated for a total of 3 cycles.') +disp(' ') +disp('Press any key to train the network and determine the hyperparameters.') +pause; + +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 3; % Number of hidden units. +nout = 1; % Number of outputs. +alpha = 0.01; % Initial prior hyperparameter. +beta_init = 50.0; % Initial noise hyperparameter. + +% Create and initialize network weight vector. +net = mlp(nin, nhidden, nout, 'linear', alpha, beta_init); + +% Set up vector of options for the optimiser. +nouter = 3; % Number of outer loops. +ninner = 1; % Number of innter loops. +options = zeros(1,18); % Default options vector. +options(1) = 1; % This provides display of error values. +options(2) = 1.0e-7; % Absolute precision for weights. +options(3) = 1.0e-7; % Precision for objective function. +options(14) = 500; % Number of training cycles in inner loop. + +% Train using scaled conjugate gradients, re-estimating alpha and beta. +for k = 1:nouter + net = netopt(net, options, x, t, 'scg'); + [net, gamma] = evidence(net, x, t, ninner); + fprintf(1, '\nRe-estimation cycle %d:\n', k); + fprintf(1, ' alpha = %8.5f\n', net.alpha); + fprintf(1, ' beta = %8.5f\n', net.beta); + fprintf(1, ' gamma = %8.5f\n\n', gamma); + disp(' ') + disp('Press any key to continue.') + pause; +end + +fprintf(1, 'true beta: %f\n', 1/(noise*noise)); + +disp(' ') +disp('Network training and hyperparameter re-estimation are now complete.') +disp('Compare the final value for the hyperparameter beta with the true') +disp('value.') +disp(' ') +disp('Notice that the final error value is close to the number of data') +disp(['points (', num2str(ndata),') divided by two.']) +disp(' ') +disp('Press any key to continue.') +pause; clc; +disp('We can now plot the function represented by the trained network. This') +disp('corresponds to the mean of the predictive distribution. We can also') +disp('plot ''error bars'' representing one standard deviation of the') +disp('predictive distribution around the mean.') +disp(' ') +disp('Press any key to add the network function and error bars to the plot.') +pause; + +% Evaluate error bars. +[y, sig2] = netevfwd(mlppak(net), net, x, t, plotvals); +sig = sqrt(sig2); + +% Plot the data, the original function, and the trained network function. +[y, z] = mlpfwd(net, plotvals); +figure(h); hold on; +plot(plotvals, y, '-r') +xlabel('Input') +ylabel('Target') +plot(plotvals, y + sig, '-b'); +plot(plotvals, y - sig, '-b'); +legend('data', 'function', 'network', 'error bars'); + +disp(' ') +disp('Notice how the confidence interval spanned by the ''error bars'' is') +disp('smaller in the region of input space where the data density is high,') +disp('and becomes larger in regions away from the data.') +disp(' ') +disp('Press any key to end.') +pause; clc; close(h); +%clear all diff --git a/sourcecodes/bnt-master/netlab3.3/demev2.m b/sourcecodes/bnt-master/netlab3.3/demev2.m new file mode 100644 index 00000000..b479d88f --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demev2.m @@ -0,0 +1,248 @@ +%DEMEV2 Demonstrate Bayesian classification for the MLP. +% +% Description +% A synthetic two class two-dimensional dataset X is sampled from a +% mixture of four Gaussians. Each class is associated with two of the +% Gaussians so that the optimal decision boundary is non-linear. A 2- +% layer network with logistic outputs is trained by minimizing the +% cross-entropy error function with isotroipc Gaussian regularizer (one +% hyperparameter for each of the four standard weight groups), using +% the scaled conjugate gradient optimizer. The hyperparameter vectors +% ALPHA and BETA are re-estimated using the function EVIDENCE. A graph +% is plotted of the optimal, regularised, and unregularised decision +% boundaries. A further plot of the moderated versus unmoderated +% contours is generated. +% +% See also +% EVIDENCE, MLP, SCG, DEMARD, DEMMLP2 +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +clc; + +disp('This program demonstrates the use of the evidence procedure on') +disp('a two-class problem. It also shows the improved generalisation') +disp('performance that can be achieved with moderated outputs; that is') +disp('predictions where an approximate integration over the true') +disp('posterior distribution is carried out.') +disp(' ') +disp('First we generate a synthetic dataset with two-dimensional input') +disp('sampled from a mixture of four Gaussians. Each class is') +disp('associated with two of the Gaussians so that the optimal decision') +disp('boundary is non-linear.') +disp(' ') +disp('Press any key to see a plot of the data.') +pause; + +% Generate the matrix of inputs x and targets t. + +rand('state', 423); +randn('state', 423); + +ClassSymbol1 = 'r.'; +ClassSymbol2 = 'y.'; +PointSize = 12; +titleSize = 10; + +fh1 = figure; +set(fh1, 'Name', 'True Data Distribution'); +whitebg(fh1, 'k'); + +% +% Generate the data +% +n=200; + +% Set up mixture model: 2d data with four centres +% Class 1 is first two centres, class 2 from the other two +mix = gmm(2, 4, 'full'); +mix.priors = [0.25 0.25 0.25 0.25]; +mix.centres = [0 -0.1; 1.5 0; 1 1; 1 -1]; +mix.covars(:,:,1) = [0.625 -0.2165; -0.2165 0.875]; +mix.covars(:,:,2) = [0.25 0; 0 0.25]; +mix.covars(:,:,3) = [0.2241 -0.1368; -0.1368 0.9759]; +mix.covars(:,:,4) = [0.2375 0.1516; 0.1516 0.4125]; + +[data, label] = gmmsamp(mix, n); + +% +% Calculate some useful axis limits +% +x0 = min(data(:,1)); +x1 = max(data(:,1)); +y0 = min(data(:,2)); +y1 = max(data(:,2)); +dx = x1-x0; +dy = y1-y0; +expand = 5/100; % Add on 5 percent each way +x0 = x0 - dx*expand; +x1 = x1 + dx*expand; +y0 = y0 - dy*expand; +y1 = y1 + dy*expand; +resolution = 100; +step = dx/resolution; +xrange = [x0:step:x1]; +yrange = [y0:step:y1]; +% +% Generate the grid +% +[X Y]=meshgrid([x0:step:x1],[y0:step:y1]); +% +% Calculate the class conditional densities, the unconditional densities and +% the posterior probabilities +% +px_j = gmmactiv(mix, [X(:) Y(:)]); +px = reshape(px_j*(mix.priors)',size(X)); +post = gmmpost(mix, [X(:) Y(:)]); +p1_x = reshape(post(:, 1) + post(:, 2), size(X)); +p2_x = reshape(post(:, 3) + post(:, 4), size(X)); + +plot(data((label<=2),1),data(label<=2,2),ClassSymbol1, 'MarkerSize', ... +PointSize) +hold on +axis([x0 x1 y0 y1]) +plot(data((label>2),1),data(label>2,2),ClassSymbol2, 'MarkerSize', ... + PointSize) + +% Convert targets to 0-1 encoding +target=[label<=2]; +disp(' ') +disp('Press any key to continue') +pause; clc; + +disp('Next we create a two-layer MLP network with 6 hidden units and') +disp('one logistic output. We use a separate inverse variance') +disp('hyperparameter for each group of weights (inputs, input bias,') +disp('outputs, output bias) and the weights are optimised with the') +disp('scaled conjugate gradient algorithm. After each 100 iterations') +disp('the hyperparameters are re-estimated twice. There are eight') +disp('cycles of the whole algorithm.') +disp(' ') +disp('Press any key to train the network and determine the hyperparameters.') +pause; + +% Set up network parameters. +nin = 2; % Number of inputs. +nhidden = 6; % Number of hidden units. +nout = 1; % Number of outputs. +alpha = 0.01; % Initial prior hyperparameter. +aw1 = 0.01; +ab1 = 0.01; +aw2 = 0.01; +ab2 = 0.01; + +% Create and initialize network weight vector. +prior = mlpprior(nin, nhidden, nout, aw1, ab1, aw2, ab2); +net = mlp(nin, nhidden, nout, 'logistic', prior); + +% Set up vector of options for the optimiser. +nouter = 8; % Number of outer loops. +ninner = 2; % Number of innter loops. +options = foptions; % Default options vector. +options(1) = 1; % This provides display of error values. +options(2) = 1.0e-5; % Absolute precision for weights. +options(3) = 1.0e-5; % Precision for objective function. +options(14) = 100; % Number of training cycles in inner loop. + +% Train using scaled conjugate gradients, re-estimating alpha and beta. +for k = 1:nouter + net = netopt(net, options, data, target, 'scg'); + [net, gamma] = evidence(net, data, target, ninner); + fprintf(1, '\nRe-estimation cycle %d:\n', k); + disp([' alpha = ', num2str(net.alpha')]); + fprintf(1, ' gamma = %8.5f\n\n', gamma); + disp(' ') + disp('Press any key to continue.') + pause; +end + +disp(' ') +disp('Network training and hyperparameter re-estimation are now complete.') +disp('Notice that the final error value is close to the number of data') +disp(['points (', num2str(n), ') divided by two.']) +disp('Also, the hyperparameter values differ, which suggests that a single') +disp('hyperparameter would not be so effective.') +disp(' ') +disp('First we train an MLP without Bayesian regularisation on the') +disp('same dataset using 400 iterations of scaled conjugate gradient') +disp(' ') +disp('Press any key to train the network by maximum likelihood.') +pause; +% Train standard network +net2 = mlp(nin, nhidden, nout, 'logistic'); +options(14) = 400; +net2 = netopt(net2, options, data, target, 'scg'); +y2g = mlpfwd(net2, [X(:), Y(:)]); +y2g = reshape(y2g(:, 1), size(X)); + +disp(' ') +disp('We can now plot the function represented by the trained networks.') +disp('We show the decision boundaries (output = 0.5) and the optimal') +disp('decision boundary given by applying Bayes'' theorem to the true') +disp('data model.') +disp(' ') +disp('Press any key to add the boundaries to the plot.') +pause; + +% Evaluate predictions. +[yg, ymodg] = mlpevfwd(net, data, target, [X(:) Y(:)]); +yg = reshape(yg(:,1),size(X)); +ymodg = reshape(ymodg(:,1),size(X)); + +% Bayesian decision boundary +[cB, hB] = contour(xrange,yrange,p1_x,[0.5 0.5],'b-'); +[cNb, hNb] = contour(xrange,yrange,yg,[0.5 0.5],'r-'); +[cN, hN] = contour(xrange,yrange,y2g,[0.5 0.5],'g-'); +set(hB, 'LineWidth', 2); +set(hNb, 'LineWidth', 2); +set(hN, 'LineWidth', 2); +Chandles = [hB(1) hNb(1) hN(1)]; +legend(Chandles, 'Bayes', ... + 'Reg. Network', 'Network', 3); + +disp(' ') +disp('Note how the regularised network predictions are closer to the') +disp('optimal decision boundary, while the unregularised network is') +disp('overtrained.') + +disp(' ') +disp('We will now compare moderated and unmoderated outputs for the'); +disp('regularised network by showing the contour plot of the posterior') +disp('probability estimates.') +disp(' ') +disp('The first plot shows the regularised (moderated) predictions') +disp('and the second shows the standard predictions from the same network.') +disp('These agree at the level 0.5.') +disp('Press any key to continue') +pause +levels = 0:0.1:1; +fh4 = figure; +set(fh4, 'Name', 'Moderated outputs'); +hold on +plot(data((label<=2),1),data(label<=2,2),'r.', 'MarkerSize', PointSize) +plot(data((label>2),1),data(label>2,2),'y.', 'MarkerSize', PointSize) + +[cNby, hNby] = contour(xrange, yrange, ymodg, levels, 'k-'); +set(hNby, 'LineWidth', 1); + +fh5 = figure; +set(fh5, 'Name', 'Unmoderated outputs'); +hold on +plot(data((label<=2),1),data(label<=2,2),'r.', 'MarkerSize', PointSize) +plot(data((label>2),1),data(label>2,2),'y.', 'MarkerSize', PointSize) + +[cNbm, hNbm] = contour(xrange, yrange, yg, levels, 'k-'); +set(hNbm, 'LineWidth', 1); + +disp(' ') +disp('Note how the moderated contours are more widely spaced. This shows') +disp('that there is a larger region where the outputs are close to 0.5') +disp('and a smaller region where the outputs are close to 0 or 1.') +disp(' ') +disp('Press any key to exit') +pause +close(fh1); +close(fh4); +close(fh5); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demev3.m b/sourcecodes/bnt-master/netlab3.3/demev3.m new file mode 100644 index 00000000..d288e037 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demev3.m @@ -0,0 +1,154 @@ +%DEMEV3 Demonstrate Bayesian regression for the RBF. +% +% Description +% The problem consists an input variable X which sampled from a +% Gaussian distribution, and a target variable T generated by computing +% SIN(2*PI*X) and adding Gaussian noise. An RBF network with linear +% outputs is trained by minimizing a sum-of-squares error function with +% isotropic Gaussian regularizer, using the scaled conjugate gradient +% optimizer. The hyperparameters ALPHA and BETA are re-estimated using +% the function EVIDENCE. A graph is plotted of the original function, +% the training data, the trained network function, and the error bars. +% +% See also +% DEMEV1, EVIDENCE, RBF, SCG, NETEVFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc; +disp('This demonstration illustrates the application of Bayesian') +disp('re-estimation to determine the hyperparameters in a simple regression') +disp('problem using an RBF netowk. It is based on a the fact that the') +disp('posterior distribution for the output weights of an RBF is Gaussian') +disp('and uses the evidence maximization framework of MacKay.') +disp(' ') +disp('First, we generate a synthetic data set consisting of a single input') +disp('variable x sampled from a Gaussian distribution, and a target variable') +disp('t obtained by evaluating sin(2*pi*x) and adding Gaussian noise.') +disp(' ') +disp('Press any key to see a plot of the data together with the sine function.') +pause; + +% Generate the matrix of inputs x and targets t. + +ndata = 16; % Number of data points. +noise = 0.1; % Standard deviation of noise distribution. +randn('state', 0); +rand('state', 0); +x = 0.25 + 0.07*randn(ndata, 1); +t = sin(2*pi*x) + noise*randn(size(x)); + +% Plot the data and the original sine function. +h = figure; +nplot = 200; +plotvals = linspace(0, 1, nplot)'; +plot(x, t, 'ok') +xlabel('Input') +ylabel('Target') +hold on +axis([0 1 -1.5 1.5]) +fplot('sin(2*pi*x)', [0 1], '-g') +legend('data', 'function'); + +disp(' ') +disp('Press any key to continue') +pause; clc; + +disp('Next we create a two-layer MLP network having 3 hidden units and one') +disp('linear output. The model assumes Gaussian target noise governed by an') +disp('inverse variance hyperparmeter beta, and uses a simple Gaussian prior') +disp('distribution governed by an inverse variance hyperparameter alpha.') +disp(' '); +disp('The network weights and the hyperparameters are initialised and then') +disp('the output layer weights are optimized with the scaled conjugate gradient') +disp('algorithm using the SCG function, with the hyperparameters kept') +disp('fixed. After a maximum of 50 iterations, the hyperparameters are') +disp('re-estimated using the EVIDENCE function. The process of optimizing') +disp('the weights with fixed hyperparameters and then re-estimating the') +disp('hyperparameters is repeated for a total of 3 cycles.') +disp(' ') +disp('Press any key to train the network and determine the hyperparameters.') +pause; + +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 3; % Number of hidden units. +nout = 1; % Number of outputs. +alpha = 0.01; % Initial prior hyperparameter. +beta_init = 50.0; % Initial noise hyperparameter. + +% Create and initialize network weight vector. +net = rbf(nin, nhidden, nout, 'tps', 'linear', alpha, beta_init); +[net.mask, prior] = rbfprior('tps', nin, nhidden, nout, alpha, alpha); +net = netinit(net, prior); + +options = foptions; +options(14) = 5; % At most 5 EM iterations for basis functions +options(1) = -1; % Turn off all messages +net = rbfsetbf(net, options, x); % Initialise the basis functions + +% Now train the network +nouter = 5; +ninner = 2; +options = foptions; +options(1) = 1; +options(2) = 1.0e-5; % Absolute precision for weights. +options(3) = 1.0e-5; % Precision for objective function. +options(14) = 50; % Number of training cycles in inner loop. + +% Train using scaled conjugate gradients, re-estimating alpha and beta. +for k = 1:nouter + net = netopt(net, options, x, t, 'scg'); + [net, gamma] = evidence(net, x, t, ninner); + fprintf(1, '\nRe-estimation cycle %d:\n', k); + fprintf(1, ' alpha = %8.5f\n', net.alpha); + fprintf(1, ' beta = %8.5f\n', net.beta); + fprintf(1, ' gamma = %8.5f\n\n', gamma); + disp(' ') + disp('Press any key to continue.') + pause; +end + +fprintf(1, 'true beta: %f\n', 1/(noise*noise)); + +disp(' ') +disp('Network training and hyperparameter re-estimation are now complete.') +disp('Compare the final value for the hyperparameter beta with the true') +disp('value.') +disp(' ') +disp('Notice that the final error value is close to the number of data') +disp(['points (', num2str(ndata),') divided by two.']) +disp(' ') +disp('Press any key to continue.') +pause; clc; +disp('We can now plot the function represented by the trained network. This') +disp('corresponds to the mean of the predictive distribution. We can also') +disp('plot ''error bars'' representing one standard deviation of the') +disp('predictive distribution around the mean.') +disp(' ') +disp('Press any key to add the network function and error bars to the plot.') +pause; + +% Evaluate error bars. +[y, sig2] = netevfwd(netpak(net), net, x, t, plotvals); +sig = sqrt(sig2); + +% Plot the data, the original function, and the trained network function. +[y, z] = rbffwd(net, plotvals); +figure(h); hold on; +plot(plotvals, y, '-r') +xlabel('Input') +ylabel('Target') +plot(plotvals, y + sig, '-b'); +plot(plotvals, y - sig, '-b'); +legend('data', 'function', 'network', 'error bars'); + +disp(' ') +disp('Notice how the confidence interval spanned by the ''error bars'' is') +disp('smaller in the region of input space where the data density is high,') +disp('and becomes larger in regions away from the data.') +disp(' ') +disp('Press any key to end.') +pause; clc; close(h); + diff --git a/sourcecodes/bnt-master/netlab3.3/demgauss.m b/sourcecodes/bnt-master/netlab3.3/demgauss.m new file mode 100644 index 00000000..c9751ae9 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgauss.m @@ -0,0 +1,80 @@ +%DEMGAUSS Demonstrate sampling from Gaussian distributions. +% +% Description +% +% DEMGAUSS provides a simple illustration of the generation of data +% from Gaussian distributions. It first samples from a one-dimensional +% distribution using RANDN, and then plots a normalized histogram +% estimate of the distribution using HISTP together with the true +% density calculated using GAUSS. +% +% DEMGAUSS then demonstrates sampling from a Gaussian distribution in +% two dimensions. It creates a mean vector and a covariance matrix, and +% then plots contours of constant density using the function GAUSS. A +% sample of points drawn from this distribution, obtained using the +% function GSAMP, is then superimposed on the contours. +% +% See also +% GAUSS, GSAMP, HISTP +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc +mean = 2; var = 5; nsamp = 3000; +xmin = -10; xmax = 10; nbins = 30; +disp('Demonstration of sampling from a uni-variate Gaussian with mean') +dstring = [num2str(mean), ' and variance ', num2str(var), '. ', ... + num2str(nsamp), ' samples are taken.']; +disp(dstring); +x = mean + sqrt(var)*randn(nsamp, 1); +fh1 = figure; +histp(x, xmin, xmax, nbins); +hold on; +axis([xmin xmax 0 0.2]); +plotvals = linspace(xmin, xmax, 200)'; +probs = gauss(mean, var, plotvals); +plot(plotvals, probs, '-r'); +xlabel('X') +ylabel('Density') + +disp(' ') +disp('Press any key to continue') +pause; +mu = [3 2]; +lam1 = 0.5; +lam2 = 5.0; +Sigma = lam1*[1,1]'*[1,1] + lam2*[1,-1]'*[1,-1]; +disp(' ') +disp('Demonstration of sampling from a bi-variate Gaussian. The mean is') +dstring = ['[', num2str(mu(1)), ', ', num2str(mu(2)), ... + '] and the covariance matrix is']; +disp(dstring) +disp(Sigma); +ngrid = 40; +cmin = -5; cmax = 10; +cvals = linspace(cmin, cmax, ngrid); +[X1, X2] = meshgrid(cvals, cvals); +XX = [X1(:), X2(:)]; +probs = gauss(mu, Sigma, XX); +probs = reshape(probs, ngrid, ngrid); + +fh2 = figure; +contour(X1, X2, probs, 'b'); +hold on + +nsamp = 300; +dstring = [num2str(nsamp), ' samples are generated.']; +disp('The plot shows the sampled data points with a contour plot of their density.') +samples = gsamp(mu, Sigma, nsamp); +plot(samples(:,1), samples(:,2), 'or'); +xlabel('X1') +ylabel('X2') +grid off; + +disp(' ') +disp('Press any key to end') +pause; +close(fh1); +close(fh2); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demglm1.m b/sourcecodes/bnt-master/netlab3.3/demglm1.m new file mode 100644 index 00000000..d6c54bac --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demglm1.m @@ -0,0 +1,95 @@ +%DEMGLM1 Demonstrate simple classification using a generalized linear model. +% +% Description +% The problem consists of a two dimensional input matrix DATA and a +% vector of classifications T. The data is generated from two +% Gaussian clusters, and a generalized linear model with logistic +% output is trained using iterative reweighted least squares. A plot of +% the data together with the 0.1, 0.5 and 0.9 contour lines of the +% conditional probability is generated. +% +% See also +% DEMGLM2, GLM, GLMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate data from two classes in 2d +input_dim = 2; + +% Fix seeds for reproducible results +randn('state', 42); +rand('state', 42); + +ndata = 100; +% Generate mixture of two Gaussians in two dimensional space +mix = gmm(2, 2, 'spherical'); +mix.priors = [0.4 0.6]; % Cluster priors +mix.centres = [2.0, 2.0; 0.0, 0.0]; % Cluster centres +mix.covars = [0.5, 1.0]; + +[data, label] = gmmsamp(mix, ndata); +targets = label - ones(ndata, 1); + +% Plot the result + +clc +disp('This demonstration illustrates the use of a generalized linear model') +disp('to classify data from two classes in a two-dimensional space. We') +disp('begin by generating and plotting the data.') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +plot(data(label==1,1), data(label==1,2), 'bo'); +hold on +axis([-4 5 -4 5]) +set(gca, 'box', 'on') +plot(data(label==2,1), data(label==2,2), 'rx') +title('Data') + +clc +disp('Now we fit a model consisting of a logistic sigmoid function of') +disp('a linear combination of the input variables.') +disp(' ') +disp('The model is trained using the IRLS algorithm for 5 iterations') +disp(' ') +disp('Press any key to continue.') +pause + +net = glm(input_dim, 1, 'logistic'); +options = foptions; +options(1) = 1; +options(14) = 5; +net = glmtrain(net, options, data, targets); + +disp(' ') +disp('We now plot some density contours given by this model.') +disp('The contour labelled 0.5 is the decision boundary.') +disp(' ') +disp('Press any key to continue.') +pause +x = -4.0:0.2:5.0; +y = -4.0:0.2:5.0; +[X, Y] = meshgrid(x,y); +X = X(:); +Y = Y(:); +grid = [X Y]; +Z = glmfwd(net, grid); +Z = reshape(Z, length(x), length(y)); +v = [0.1 0.5 0.9]; +[c, h] = contour(x, y, Z, v); +title('Generalized Linear Model') +set(h, 'linewidth', 3) +clabel(c, h); + +clc +disp('Note that the contours of constant density are straight lines.') +disp(' ') +disp('Press any key to end.') +pause +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demglm2.m b/sourcecodes/bnt-master/netlab3.3/demglm2.m new file mode 100644 index 00000000..ea3d6bde --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demglm2.m @@ -0,0 +1,103 @@ +%DEMGLM2 Demonstrate simple classification using a generalized linear model. +% +% Description +% The problem consists of a two dimensional input matrix DATA and a +% vector of classifications T. The data is generated from three +% Gaussian clusters, and a generalized linear model with softmax output +% is trained using iterative reweighted least squares. A plot of the +% data together with regions shaded by the classification given by the +% network is generated. +% +% See also +% DEMGLM1, GLM, GLMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate data from three classes in 2d +input_dim = 2; + +% Fix seeds for reproducible results +randn('state', 42); +rand('state', 42); + +ndata = 100; +% Generate mixture of three Gaussians in two dimensional space +mix = gmm(2, 3, 'spherical'); +mix.priors = [0.4 0.3 0.3]; % Cluster priors +mix.centres = [2, 2; 0.0, 0.0; 1, -1]; % Cluster centres +mix.covars = [0.5 1.0 0.6]; + +[data, label] = gmmsamp(mix, ndata); +id = eye(3); +targets = id(label,:); + +% Plot the result + +clc +disp('This demonstration illustrates the use of a generalized linear model') +disp('to classify data from three classes in a two-dimensional space. We') +disp('begin by generating and plotting the data.') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +plot(data(label==1,1), data(label==1,2), 'bo'); +hold on +axis([-4 5 -4 5]); +set(gca, 'Box', 'on') +plot(data(label==2,1), data(label==2,2), 'rx') +plot(data(label==3, 1), data(label==3, 2), 'go') +title('Data') + +clc +disp('Now we fit a model consisting of a softmax function of') +disp('a linear combination of the input variables.') +disp(' ') +disp('The model is trained using the IRLS algorithm for up to 10 iterations') +disp(' ') +disp('Press any key to continue.') +pause + +net = glm(input_dim, size(targets, 2), 'softmax'); +options = foptions; +options(1) = 1; +options(14) = 10; +net = glmtrain(net, options, data, targets); + +disp(' ') +disp('We now plot the decision regions given by this model.') +disp(' ') +disp('Press any key to continue.') +pause + +x = -4.0:0.2:5.0; +y = -4.0:0.2:5.0; +[X, Y] = meshgrid(x,y); +X = X(:); +Y = Y(:); +grid = [X Y]; +Z = glmfwd(net, grid); +[foo , class] = max(Z'); +class = class'; +colors = ['b.'; 'r.'; 'g.']; +for i = 1:3 + thisX = X(class == i); + thisY = Y(class == i); + h = plot(thisX, thisY, colors(i,:)); + set(h, 'MarkerSize', 8); +end +title('Plot of Decision regions') + +hold off + +clc +disp('Note that the boundaries of decision regions are straight lines.') +disp(' ') +disp('Press any key to end.') +pause +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demgmm1.m b/sourcecodes/bnt-master/netlab3.3/demgmm1.m new file mode 100644 index 00000000..e2d1ef4c --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgmm1.m @@ -0,0 +1,173 @@ +%DEMGMM1 Demonstrate EM for Gaussian mixtures. +% +% Description +% This script demonstrates the use of the EM algorithm to fit a mixture +% of Gaussians to a set of data using maximum likelihood. A colour +% coding scheme is used to illustrate the evaluation of the posterior +% probabilities in the E-step of the EM algorithm. +% +% See also +% DEMGMM2, DEMGMM3, DEMGMM4, GMM, GMMEM, GMMPOST +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc; +disp('This demonstration illustrates the use of the EM (expectation-') +disp('maximization) algorithm for fitting of a mixture of Gaussians to a') +disp('data set by maximum likelihood.') +disp(' ') +disp('The data set consists of 40 data points in a 2-dimensional') +disp('space, generated by sampling from a mixture of 2 Gaussian') +disp('distributions.') +disp(' ') +disp('Press any key to see a plot of the data.') +pause; + +% Generate the data +randn('state', 0); rand('state', 0); +gmix = gmm(2, 2, 'spherical'); +ndat1 = 20; ndat2 = 20; ndata = ndat1+ndat2; +gmix.centres = [0.3 0.3; 0.7 0.7]; +gmix.covars = [0.01 0.01]; +x = gmmsamp(gmix, ndata); + +h = figure; +hd = plot(x(:, 1), x(:, 2), '.g', 'markersize', 30); +hold on; axis([0 1 0 1]); axis square; set(gca, 'box', 'on'); +ht = text(0.5, 1.05, 'Data', 'horizontalalignment', 'center'); +disp(' '); +disp('Press any key to continue.') +pause; clc; + +disp('We next create and initialize a mixture model consisting of a mixture') +disp('of 2 Gaussians having ''spherical'' covariance matrices, using the') +disp('function GMM. The Gaussian components can be displayed on the same') +disp('plot as the data by drawing a contour of constant probability density') +disp('for each component having radius equal to the corresponding standard') +disp('deviation. Component 1 is coloured red and component 2 is coloured') +disp('blue.') +disp(' ') +disp('Note that a particulary poor choice of initial parameters has been') +disp('made in order to illustrate more effectively the operation of the') +disp('EM algorithm.') +disp(' ') +disp('Press any key to see the initial configuration of the mixture model.') +pause; + +% Set up mixture model +ncentres = 2; input_dim = 2; +mix = gmm(input_dim, ncentres, 'spherical'); + +% Initialise the mixture model +mix.centres = [0.2 0.8; 0.8, 0.2]; +mix.covars = [0.01 0.01]; + +% Plot the initial model +ncirc = 30; theta = linspace(0, 2*pi, ncirc); +xs = cos(theta); ys = sin(theta); +xvals = mix.centres(:, 1)*ones(1,ncirc) + sqrt(mix.covars')*xs; +yvals = mix.centres(:, 2)*ones(1,ncirc) + sqrt(mix.covars')*ys; +hc(1)=line(xvals(1,:), yvals(1,:), 'color', 'r'); +hc(2)=line(xvals(2,:), yvals(2,:), 'color', 'b'); +set(ht, 'string', 'Initial Configuration'); +figure(h); +disp(' ') +disp('Press any key to continue'); +pause; clc; + +disp('Now we adapt the parameters of the mixture model iteratively using the') +disp('EM algorithm. Each cycle of the EM algorithm consists of an E-step') +disp('followed by an M-step. We start with the E-step, which involves the') +disp('evaluation of the posterior probabilities (responsibilities) which the') +disp('two components have for each of the data points.') +disp(' ') +disp('Since we have labelled the two components using the colours red and') +disp('blue, a convenient way to indicate the value of a posterior') +disp('probability for a given data point is to colour the point using a') +disp('scale ranging from pure red (corresponding to a posterior probability') +disp('of 1.0 for the red component and 0.0 for the blue component) through') +disp('to pure blue.') +disp(' ') +disp('Press any key to see the result of applying the first E-step.') +pause; + +% Initial E-step. +set(ht, 'string', 'E-step'); +post = gmmpost(mix, x); +dcols = [post(:,1), zeros(ndata, 1), post(:,2)]; +delete(hd); +for i = 1 : ndata + hd(i) = plot(x(i, 1), x(i, 2), 'color', dcols(i,:), ... + 'marker', '.', 'markersize', 30); +end +figure(h); + +disp(' '); +disp('Press any key to continue') +pause; clc; + +disp('Next we perform the corresponding M-step. This involves replacing the') +disp('centres of the component Gaussians by the corresponding weighted means') +disp('of the data. Thus the centre of the red component is replaced by the') +disp('mean of the data set, in which each data point is weighted according to') +disp('the amount of red ink (corresponding to the responsibility of') +disp('component 1 for explaining that data point). The variances and mixing') +disp('proportions of the two components are similarly re-estimated.') +disp(' ') +disp('Press any key to see the result of applying the first M-step.') +pause; + +% M-step. +set(ht, 'string', 'M-step'); +options = foptions; +options(14) = 1; % A single iteration +options(1) = -1; % Switch off all messages, including warning +mix = gmmem(mix, x, options); +delete(hc); +xvals = mix.centres(:, 1)*ones(1,ncirc) + sqrt(mix.covars')*xs; +yvals = mix.centres(:, 2)*ones(1,ncirc) + sqrt(mix.covars')*ys; +hc(1)=line(xvals(1,:), yvals(1,:), 'color', 'r'); +hc(2)=line(xvals(2,:), yvals(2,:), 'color', 'b'); +figure(h); +disp(' ') +disp('Press any key to continue') +pause; clc; + +disp('We can continue making alternate E and M steps until the changes in') +disp('the log likelihood at each cycle become sufficiently small.') +disp(' ') +disp('Press any key to see an animation of a further 9 EM cycles.') +pause; +figure(h); + +% Loop over EM iterations. +numiters = 9; +for n = 1 : numiters + + set(ht, 'string', 'E-step'); + post = gmmpost(mix, x); + dcols = [post(:,1), zeros(ndata, 1), post(:,2)]; + delete(hd); + for i = 1 : ndata + hd(i) = plot(x(i, 1), x(i, 2), 'color', dcols(i,:), ... + 'marker', '.', 'markersize', 30); + end + pause(1) + + set(ht, 'string', 'M-step'); + [mix, options] = gmmem(mix, x, options); + fprintf(1, 'Cycle %4d Error %11.6f\n', n, options(8)); + delete(hc); + xvals = mix.centres(:, 1)*ones(1,ncirc) + sqrt(mix.covars')*xs; + yvals = mix.centres(:, 2)*ones(1,ncirc) + sqrt(mix.covars')*ys; + hc(1)=line(xvals(1,:), yvals(1,:), 'color', 'r'); + hc(2)=line(xvals(2,:), yvals(2,:), 'color', 'b'); + pause(1) + +end + +disp(' '); +disp('Press any key to end.') +pause; clc; close(h); clear all + diff --git a/sourcecodes/bnt-master/netlab3.3/demgmm2.m b/sourcecodes/bnt-master/netlab3.3/demgmm2.m new file mode 100644 index 00000000..ae0e04fa --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgmm2.m @@ -0,0 +1,152 @@ +%DEMGMM1 Demonstrate density modelling with a Gaussian mixture model. +% +% Description +% The problem consists of modelling data generated by a mixture of +% three Gaussians in 2 dimensions. The priors are 0.3, 0.5 and 0.2; +% the centres are (2, 3.5), (0, 0) and (0,2); the variances are 0.2, +% 0.5 and 1.0. The first figure contains a scatter plot of the data. +% +% A Gaussian mixture model with three components is trained using EM. +% The parameter vector is printed before training and after training. +% The user should press any key to continue at these points. The +% parameter vector consists of priors (the column), centres (given as +% (x, y) pairs as the next two columns), and variances (the last +% column). +% +% The second figure is a 3 dimensional view of the density function, +% while the third shows the 1-standard deviation circles for the three +% components of the mixture model. +% +% See also +% GMM, GMMINIT, GMMEM, GMMPROB, GMMUNPAK +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Generate the data +% Fix seeds for reproducible results +randn('state', 42); +rand('state', 42); + +ndata = 500; +[data, datac, datap, datasd] = dem2ddat(ndata); + +clc +disp('This demonstration illustrates the use of a Gaussian mixture model') +disp('to approximate the unconditional probability density of data in') +disp('a two-dimensional space. We begin by generating the data from') +disp('a mixture of three Gaussians and plotting it.') +disp(' ') +disp('Press any key to continue') +pause + +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') +% Set up mixture model +ncentres = 3; +input_dim = 2; +mix = gmm(input_dim, ncentres, 'spherical'); + +options = foptions; +options(14) = 5; % Just use 5 iterations of k-means in initialisation +% Initialise the model parameters from the data +mix = gmminit(mix, data, options); + +clc +disp('The data is drawn from a mixture with parameters') +disp(' Priors Centres Variances') +disp([datap' datac (datasd.^2)']) +disp(' ') +disp('The mixture model has three components and spherical covariance') +disp('matrices. The model parameters after initialisation using the') +disp('k-means algorithm are as follows') +% Print out model +disp(' Priors Centres Variances') +disp([mix.priors' mix.centres mix.covars']) +disp('Press any key to continue') +pause + +% Set up vector of options for EM trainer +options = zeros(1, 18); +options(1) = 1; % Prints out error values. +options(14) = 10; % Max. Number of iterations. + +disp('We now train the model using the EM algorithm for 10 iterations') +disp(' ') +disp('Press any key to continue') +pause +[mix, options, errlog] = gmmem(mix, data, options); + +% Print out model +disp(' ') +disp('The trained model has parameters ') +disp(' Priors Centres Variances') +disp([mix.priors' mix.centres mix.covars']) +disp('Note the close correspondence between these parameters and those') +disp('of the distribution used to generate the data, which are repeated here.') +disp(' Priors Centres Variances') +disp([datap' datac (datasd.^2)']) +disp(' ') +disp('Press any key to continue') +pause + +clc +disp('We now plot the density given by the mixture model as a surface plot') +disp(' ') +disp('Press any key to continue') +pause +% Plot the result +x = -4.0:0.2:5.0; +y = -4.0:0.2:5.0; +[X, Y] = meshgrid(x,y); +X = X(:); +Y = Y(:); +grid = [X Y]; +Z = gmmprob(mix, grid); +Z = reshape(Z, length(x), length(y)); +c = mesh(x, y, Z); +hold on +title('Surface plot of probability density') +hold off + +clc +disp('The final plot shows the centres and widths, given by one standard') +disp('deviation, of the three components of the mixture model.') +disp(' ') +disp('Press any key to continue.') +pause +% Try to calculate a sensible position for the second figure, below the first +fig1_pos = get(fh1, 'Position'); +fig2_pos = fig1_pos; +fig2_pos(2) = fig2_pos(2) - fig1_pos(4); +fh2 = figure; +set(fh2, 'Position', fig2_pos) + +hp1 = plot(data(:, 1), data(:, 2), 'bo'); +axis('equal'); +hold on +hp2 = plot(mix.centres(:, 1), mix.centres(:,2), 'g+'); +set(hp2, 'MarkerSize', 10); +set(hp2, 'LineWidth', 3); + +title('Plot of data and mixture centres') +angles = 0:pi/30:2*pi; +for i = 1 : mix.ncentres + x_circle = mix.centres(i,1)*ones(1, length(angles)) + ... + sqrt(mix.covars(i))*cos(angles); + y_circle = mix.centres(i,2)*ones(1, length(angles)) + ... + sqrt(mix.covars(i))*sin(angles); + plot(x_circle, y_circle, 'r') +end +hold off +disp('Note how the data cluster positions and widths are captured by') +disp('the mixture model.') +disp(' ') +disp('Press any key to end.') +pause + +close(fh1); +close(fh2); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demgmm3.m b/sourcecodes/bnt-master/netlab3.3/demgmm3.m new file mode 100644 index 00000000..4e4210d1 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgmm3.m @@ -0,0 +1,192 @@ +%DEMGMM3 Demonstrate density modelling with a Gaussian mixture model. +% +% Description +% The problem consists of modelling data generated by a mixture of +% three Gaussians in 2 dimensions with a mixture model using diagonal +% covariance matrices. The priors are 0.3, 0.5 and 0.2; the centres +% are (2, 3.5), (0, 0) and (0,2); the covariances are all axis aligned +% (0.16, 0.64), (0.25, 1) and the identity matrix. The first figure +% contains a scatter plot of the data. +% +% A Gaussian mixture model with three components is trained using EM. +% The parameter vector is printed before training and after training. +% The user should press any key to continue at these points. The +% parameter vector consists of priors (the column), and centres (given +% as (x, y) pairs as the next two columns). The diagonal entries of +% the covariance matrices are printed separately. +% +% The second figure is a 3 dimensional view of the density function, +% while the third shows the axes of the 1-standard deviation circles +% for the three components of the mixture model. +% +% See also +% GMM, GMMINIT, GMMEM, GMMPROB, GMMUNPAK +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Generate the data +ndata = 500; + +% Fix the seeds for reproducible results +randn('state', 42); +rand('state', 42); +data = randn(ndata, 2); +prior = [0.3 0.5 0.2]; +% Mixture model swaps clusters 1 and 3 +datap = [0.2 0.5 0.3]; +datac = [0 2; 0 0; 2 3.5]; +datacov = [1 1;1 0.25; 0.4*0.4 0.8*0.8]; +data1 = data(1:prior(1)*ndata,:); +data2 = data(prior(1)*ndata+1:(prior(2)+prior(1))*ndata, :); +data3 = data((prior(1)+prior(2))*ndata +1:ndata, :); + +% First cluster has axis aligned variance and centre (2, 3.5) +data1(:, 1) = data1(:, 1)*0.4 + 2.0; +data1(:, 2) = data1(:, 2)*0.8 + 3.5; + +% Second cluster has axis aligned variance and centre (0, 0) +data2(:,2) = data2(:, 2)*0.5; + +% Third cluster is at (0,2) with identity matrix for covariance +data3 = data3 + repmat([0 2], prior(3)*ndata, 1); + +% Put the dataset together again +data = [data1; data2; data3]; + +clc +disp('This demonstration illustrates the use of a Gaussian mixture model') +disp('with diagonal covariance matrices to approximate the unconditional') +disp('probability density of data in a two-dimensional space.') +disp('We begin by generating the data from a mixture of three Gaussians') +disp('with axis aligned covariance structure and plotting it.') +disp(' ') +disp('The first cluster has centre (0, 2).') +disp('The second cluster has centre (0, 0).') +disp('The third cluster has centre (2, 3.5).') +disp(' ') +disp('Press any key to continue') +pause + +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') + +% Set up mixture model +ncentres = 3; +input_dim = 2; +mix = gmm(input_dim, ncentres, 'diag'); + +options = foptions; +options(14) = 5; % Just use 5 iterations of k-means in initialisation +% Initialise the model parameters from the data +mix = gmminit(mix, data, options); + +% Print out model +disp('The mixture model has three components and diagonal covariance') +disp('matrices. The model parameters after initialisation using the') +disp('k-means algorithm are as follows') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) +disp('Covariance diagonals are') +disp(mix.covars) +disp('Press any key to continue.') +pause + +% Set up vector of options for EM trainer +options = zeros(1, 18); +options(1) = 1; % Prints out error values. +options(14) = 20; % Number of iterations. + +disp('We now train the model using the EM algorithm for 20 iterations.') +disp(' ') +disp('Press any key to continue.') +pause + +[mix, options, errlog] = gmmem(mix, data, options); + +% Print out model +disp(' ') +disp('The trained model has priors and centres:') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) +disp('The data generator has priors and centres') +disp(' Priors Centres') +disp([datap' datac]) +disp('Model covariance diagonals are') +disp(mix.covars) +disp('Data generator covariance diagonals are') +disp(datacov) +disp('Note the close correspondence between these parameters and those') +disp('of the distribution used to generate the data.') +disp(' ') +disp('Press any key to continue.') +pause + +clc +disp('We now plot the density given by the mixture model as a surface plot.') +disp(' ') +disp('Press any key to continue.') +pause + +% Plot the result +x = -4.0:0.2:5.0; +y = -4.0:0.2:5.0; +[X, Y] = meshgrid(x,y); +X = X(:); +Y = Y(:); +grid = [X Y]; +Z = gmmprob(mix, grid); +Z = reshape(Z, length(x), length(y)); +c = mesh(x, y, Z); +hold on +title('Surface plot of probability density') +hold off +drawnow + +clc +disp('The final plot shows the centres and widths, given by one standard') +disp('deviation, of the three components of the mixture model. The axes') +disp('of the ellipses of constant density are shown.') +disp(' ') +disp('Press any key to continue.') +pause + +% Try to calculate a sensible position for the second figure, below the first +fig1_pos = get(fh1, 'Position'); +fig2_pos = fig1_pos; +fig2_pos(2) = fig2_pos(2) - fig1_pos(4); +fh2 = figure('Position', fig2_pos); + +h = plot(data(:, 1), data(:, 2), 'bo'); +hold on +axis('equal'); +title('Plot of data and covariances') +for i = 1:ncentres + v = [1 0]; + for j = 1:2 + start=mix.centres(i,:)-sqrt(mix.covars(i,:).*v); + endpt=mix.centres(i,:)+sqrt(mix.covars(i,:).*v); + linex = [start(1) endpt(1)]; + liney = [start(2) endpt(2)]; + line(linex, liney, 'Color', 'k', 'LineWidth', 3) + v = [0 1]; + end + % Plot ellipses of one standard deviation + theta = 0:0.02:2*pi; + x = sqrt(mix.covars(i,1))*cos(theta) + mix.centres(i,1); + y = sqrt(mix.covars(i,2))*sin(theta) + mix.centres(i,2); + plot(x, y, 'r-'); +end +hold off + +disp('Note how the data cluster positions and widths are captured by') +disp('the mixture model.') +disp(' ') +disp('Press any key to end.') +pause + +close(fh1); +close(fh2); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demgmm4.m b/sourcecodes/bnt-master/netlab3.3/demgmm4.m new file mode 100644 index 00000000..12426787 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgmm4.m @@ -0,0 +1,210 @@ +%DEMGMM4 Demonstrate density modelling with a Gaussian mixture model. +% +% Description +% The problem consists of modelling data generated by a mixture of +% three Gaussians in 2 dimensions with a mixture model using full +% covariance matrices. The priors are 0.3, 0.5 and 0.2; the centres +% are (2, 3.5), (0, 0) and (0,2); the variances are (0.16, 0.64) axis +% aligned, (0.25, 1) rotated by 30 degrees and the identity matrix. The +% first figure contains a scatter plot of the data. +% +% A Gaussian mixture model with three components is trained using EM. +% The parameter vector is printed before training and after training. +% The user should press any key to continue at these points. The +% parameter vector consists of priors (the column), and centres (given +% as (x, y) pairs as the next two columns). The covariance matrices +% are printed separately. +% +% The second figure is a 3 dimensional view of the density function, +% while the third shows the axes of the 1-standard deviation ellipses +% for the three components of the mixture model. +% +% See also +% GMM, GMMINIT, GMMEM, GMMPROB, GMMUNPAK +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the data + +ndata = 500; + +% Fix the seeds for reproducible results +randn('state', 42); +rand('state', 42); +data = randn(ndata, 2); +prior = [0.3 0.5 0.2]; +% Mixture model swaps clusters 1 and 3 +datap = [0.2 0.5 0.3]; +datac = [0 2; 0 0; 2 3.5]; +datacov = repmat(eye(2), [1 1 3]); +data1 = data(1:prior(1)*ndata,:); +data2 = data(prior(1)*ndata+1:(prior(2)+prior(1))*ndata, :); +data3 = data((prior(1)+prior(2))*ndata +1:ndata, :); + +% First cluster has axis aligned variance and centre (2, 3.5) +data1(:, 1) = data1(:, 1)*0.4 + 2.0; +data1(:, 2) = data1(:, 2)*0.8 + 3.5; +datacov(:, :, 3) = [0.4*0.4 0; 0 0.8*0.8]; + +% Second cluster has variance axes rotated by 30 degrees and centre (0, 0) +rotn = [cos(pi/6) -sin(pi/6); sin(pi/6) cos(pi/6)]; +data2(:,1) = data2(:, 1)*0.5; +data2 = data2*rotn; +datacov(:, :, 2) = rotn' * [0.25 0; 0 1] * rotn; + +% Third cluster is at (0,2) +data3 = data3 + repmat([0 2], prior(3)*ndata, 1); + +% Put the dataset together again +data = [data1; data2; data3]; + +clc +disp('This demonstration illustrates the use of a Gaussian mixture model') +disp('with full covariance matrices to approximate the unconditional ') +disp('probability density of data in a two-dimensional space.') +disp('We begin by generating the data from a mixture of three Gaussians and') +disp('plotting it.') +disp(' ') +disp('The first cluster has axis aligned variance and centre (0, 2).') +disp('The second cluster has variance axes rotated by 30 degrees') +disp('and centre (0, 0). The third cluster has unit variance and centre') +disp('(2, 3.5).') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') + +% Set up mixture model +ncentres = 3; +input_dim = 2; +mix = gmm(input_dim, ncentres, 'full'); + +% Initialise the model parameters from the data +options = foptions; +options(14) = 5; % Just use 5 iterations of k-means in initialisation +mix = gmminit(mix, data, options); + +% Print out model +clc +disp('The mixture model has three components and full covariance') +disp('matrices. The model parameters after initialisation using the') +disp('k-means algorithm are as follows') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) +disp('Covariance matrices are') +disp(mix.covars) +disp('Press any key to continue.') +pause + +% Set up vector of options for EM trainer +options = zeros(1, 18); +options(1) = 1; % Prints out error values. +options(14) = 50; % Number of iterations. + +disp('We now train the model using the EM algorithm for 50 iterations.') +disp(' ') +disp('Press any key to continue.') +pause +[mix, options, errlog] = gmmem(mix, data, options); + +% Print out model +disp(' ') +disp('The trained model has priors and centres:') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) +disp('The data generator has priors and centres') +disp(' Priors Centres') +disp([datap' datac]) +disp('Model covariance matrices are') +disp(mix.covars(:, :, 1)) +disp(mix.covars(:, :, 2)) +disp(mix.covars(:, :, 3)) +disp('Data generator covariance matrices are') +disp(datacov(:, :, 1)) +disp(datacov(:, :, 2)) +disp(datacov(:, :, 3)) +disp('Note the close correspondence between these parameters and those') +disp('of the distribution used to generate the data. The match for') +disp('covariance matrices is not that close, but would be improved with') +disp('more iterations of the training algorithm.') +disp(' ') +disp('Press any key to continue.') +pause + +clc +disp('We now plot the density given by the mixture model as a surface plot.') +disp(' ') +disp('Press any key to continue.') +pause + +% Plot the result +x = -4.0:0.2:5.0; +y = -4.0:0.2:5.0; +[X, Y] = meshgrid(x,y); +X = X(:); +Y = Y(:); +grid = [X Y]; +Z = gmmprob(mix, grid); +Z = reshape(Z, length(x), length(y)); +c = mesh(x, y, Z); +hold on +title('Surface plot of probability density') +hold off +drawnow + +clc +disp('The final plot shows the centres and widths, given by one standard') +disp('deviation, of the three components of the mixture model. The axes') +disp('of the ellipses of constant density are shown.') +disp(' ') +disp('Press any key to continue.') +pause + +% Try to calculate a sensible position for the second figure, below the first +fig1_pos = get(fh1, 'Position'); +fig2_pos = fig1_pos; +fig2_pos(2) = fig2_pos(2) - fig1_pos(4) - 30; +fh2 = figure('Position', fig2_pos); + +h3 = plot(data(:, 1), data(:, 2), 'bo'); +axis equal; +hold on +title('Plot of data and covariances') +for i = 1:ncentres + [v,d] = eig(mix.covars(:,:,i)); + for j = 1:2 + % Ensure that eigenvector has unit length + v(:,j) = v(:,j)/norm(v(:,j)); + start=mix.centres(i,:)-sqrt(d(j,j))*(v(:,j)'); + endpt=mix.centres(i,:)+sqrt(d(j,j))*(v(:,j)'); + linex = [start(1) endpt(1)]; + liney = [start(2) endpt(2)]; + line(linex, liney, 'Color', 'k', 'LineWidth', 3) + end + % Plot ellipses of one standard deviation + theta = 0:0.02:2*pi; + x = sqrt(d(1,1))*cos(theta); + y = sqrt(d(2,2))*sin(theta); + % Rotate ellipse axes + ellipse = (v*([x; y]))'; + % Adjust centre + ellipse = ellipse + ones(length(theta), 1)*mix.centres(i,:); + plot(ellipse(:,1), ellipse(:,2), 'r-'); +end +hold off + +disp('Note how the data cluster positions and widths are captured by') +disp('the mixture model.') +disp(' ') +disp('Press any key to end.') +pause + +close(fh1); +close(fh2); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demgmm5.m b/sourcecodes/bnt-master/netlab3.3/demgmm5.m new file mode 100644 index 00000000..f265b35d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgmm5.m @@ -0,0 +1,147 @@ +%DEMGMM5 Demonstrate density modelling with a PPCA mixture model. +% +% Description +% The problem consists of modelling data generated by a mixture of +% three Gaussians in 2 dimensions with a mixture model using full +% covariance matrices. The priors are 0.3, 0.5 and 0.2; the centres +% are (2, 3.5), (0, 0) and (0,2); the variances are (0.16, 0.64) axis +% aligned, (0.25, 1) rotated by 30 degrees and the identity matrix. The +% first figure contains a scatter plot of the data. +% +% A mixture model with three one-dimensional PPCA components is trained +% using EM. The parameter vector is printed before training and after +% training. The parameter vector consists of priors (the column), and +% centres (given as (x, y) pairs as the next two columns). +% +% The second figure is a 3 dimensional view of the density function, +% while the third shows the axes of the 1-standard deviation ellipses +% for the three components of the mixture model together with the one +% standard deviation along the principal component of each mixture +% model component. +% +% See also +% GMM, GMMINIT, GMMEM, GMMPROB, PPCA +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +ndata = 500; +data = randn(ndata, 2); +prior = [0.3 0.5 0.2]; +% Mixture model swaps clusters 1 and 3 +datap = [0.2 0.5 0.3]; +datac = [0 2; 0 0; 2 3.5]; +datacov = repmat(eye(2), [1 1 3]); +data1 = data(1:prior(1)*ndata,:); +data2 = data(prior(1)*ndata+1:(prior(2)+prior(1))*ndata, :); +data3 = data((prior(1)+prior(2))*ndata +1:ndata, :); + +% First cluster has axis aligned variance and centre (2, 3.5) +data1(:, 1) = data1(:, 1)*0.1 + 2.0; +data1(:, 2) = data1(:, 2)*0.8 + 3.5; +datacov(:, :, 3) = [0.1*0.1 0; 0 0.8*0.8]; + +% Second cluster has variance axes rotated by 30 degrees and centre (0, 0) +rotn = [cos(pi/6) -sin(pi/6); sin(pi/6) cos(pi/6)]; +data2(:,1) = data2(:, 1)*0.2; +data2 = data2*rotn; +datacov(:, :, 2) = rotn' * [0.04 0; 0 1] * rotn; + +% Third cluster is at (0,2) +data3(:, 2) = data3(:, 2)*0.1; +data3 = data3 + repmat([0 2], prior(3)*ndata, 1); + +% Put the dataset together again +data = [data1; data2; data3]; + +ndata = 100; % Number of data points. +noise = 0.2; % Standard deviation of noise distribution. +x = [0:1/(2*(ndata - 1)):0.5]'; +randn('state', 1); +rand('state', 1); +t = sin(2*pi*x) + noise*randn(ndata, 1); + +% Fit three one-dimensional PPCA models +ncentres = 3; +ppca_dim = 1; + +clc +disp('This demonstration illustrates the use of a Gaussian mixture model') +disp('with a probabilistic PCA covariance structure to approximate the') +disp('unconditional probability density of data in a two-dimensional space.') +disp('We begin by generating the data from a mixture of three Gaussians and') +disp('plotting it.') +disp(' ') +disp('The first cluster has axis aligned variance and centre (0, 2).') +disp('The variance parallel to the x-axis is significantly greater') +disp('than that parallel to the y-axis.') +disp('The second cluster has variance axes rotated by 30 degrees') +disp('and centre (0, 0). The third cluster has significant variance') +disp('parallel to the y-axis and centre (2, 3.5).') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') +axis equal +hold on + +mix = gmm(2, ncentres, 'ppca', ppca_dim); +options = foptions; +options(14) = 10; +options(1) = -1; % Switch off all warnings + +% Just use 10 iterations of k-means in initialisation +% Initialise the model parameters from the data +mix = gmminit(mix, data, options); +disp('The mixture model has three components with 1-dimensional') +disp('PPCA subspaces. The model parameters after initialisation using') +disp('the k-means algorithm are as follows') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) +disp(' ') +disp('Press any key to continue') +pause + +options(1) = 1; % Prints out error values. +options(14) = 30; % Number of iterations. + +disp('We now train the model using the EM algorithm for up to 30 iterations.') +disp(' ') +disp('Press any key to continue.') +pause + +[mix, options, errlog] = gmmem(mix, data, options); +disp('The trained model has priors and centres:') +disp(' Priors Centres') +disp([mix.priors' mix.centres]) + +% Now plot the result +for i = 1:ncentres + % Plot the PC vectors + v = mix.U(:,:,i); + start=mix.centres(i,:)-sqrt(mix.lambda(i))*(v'); + endpt=mix.centres(i,:)+sqrt(mix.lambda(i))*(v'); + linex = [start(1) endpt(1)]; + liney = [start(2) endpt(2)]; + line(linex, liney, 'Color', 'k', 'LineWidth', 3) + % Plot ellipses of one standard deviation + theta = 0:0.02:2*pi; + x = sqrt(mix.lambda(i))*cos(theta); + y = sqrt(mix.covars(i))*sin(theta); + % Rotate ellipse axes + rot_matrix = [v(1) -v(2); v(2) v(1)]; + ellipse = (rot_matrix*([x; y]))'; + % Adjust centre + ellipse = ellipse + ones(length(theta), 1)*mix.centres(i,:); + plot(ellipse(:,1), ellipse(:,2), 'r-') +end + +disp(' ') +disp('Press any key to exit') +pause +close (fh1); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demgp.m b/sourcecodes/bnt-master/netlab3.3/demgp.m new file mode 100644 index 00000000..65c587a3 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgp.m @@ -0,0 +1,160 @@ +%DEMGP Demonstrate simple regression using a Gaussian Process. +% +% Description +% The problem consists of one input variable X and one target variable +% T. The values in X are chosen in two separated clusters and the +% target data is generated by computing SIN(2*PI*X) and adding Gaussian +% noise. Two Gaussian Processes, each with different covariance +% functions are trained by optimising the hyperparameters using the +% scaled conjugate gradient algorithm. The final predictions are +% plotted together with 2 standard deviation error bars. +% +% See also +% GP, GPERR, GPFWD, GPGRAD, GPINIT, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Find out if flops is available (i.e. pre-version 6 Matlab) +v = version; +if (str2num(strtok(v, '.')) >= 6) + flops_works = logical(0); +else + flops_works = logical(1); +end + +randn('state', 42); +x = [0.1 0.15 0.2 0.25 0.65 0.7 0.75 0.8 0.85 0.9]'; +ndata = length(x); +t = sin(2*pi*x) + 0.05*randn(ndata, 1); + +xtest = linspace(0, 1, 50)'; + +clc +disp('This demonstration illustrates the use of a Gaussian Process') +disp('model for regression problems. The data is generated from a noisy') +disp('sine function.') +disp(' ') +disp('Press any key to continue.') +pause + +flops(0); +% Initialise the parameters. +net = gp(1, 'sqexp'); +prior.pr_mean = 0; +prior.pr_var = 1; +net = gpinit(net, x, t, prior); + +clc +disp('The first GP uses the squared exponential covariance function.') +disp('The hyperparameters are initialised by sampling from a Gaussian with a') +disp(['mean of ', num2str(prior.pr_mean), ' and variance ', ... + num2str(prior.pr_var), '.']) +disp('After initializing the network, we train it using the scaled conjugate') +disp('gradients algorithm for 20 cycles.') +disp(' ') +disp('Press any key to continue') +pause + +% Now train to find the hyperparameters. +options = foptions; +options(1) = 1; % Display training error values +options(14) = 20; +flops(0) +[net, options] = netopt(net, options, x, t, 'scg'); +if flops_works + sflops = flops; +end + +disp('The second GP uses the rational quadratic covariance function.') +disp('The hyperparameters are initialised by sampling from a Gaussian with a') +disp(['mean of ', num2str(prior.pr_mean), ' and variance ', num2str(prior.pr_var)]) +disp('After initializing the network, we train it using the scaled conjugate') +disp('gradients algorithm for 20 cycles.') +disp(' ') +disp('Press any key to continue') +pause +flops(0) +net2 = gp(1, 'ratquad'); +net2 = gpinit(net2, x, t, prior); +flops(0) +[net2, options] = netopt(net2, options, x, t, 'scg'); +if flops_works + rflops = flops; +end + +disp(' ') +disp('Press any key to continue') +disp(' ') +pause +clc + +fprintf(1, 'For squared exponential covariance function,'); +if flops_works + fprintf(1, 'flops = %d', sflops); +end +fprintf(1, '\nfinal hyperparameters:\n') +format_string = strcat(' bias:\t\t\t%10.6f\n noise:\t\t%10.6f\n', ... + ' inverse lengthscale:\t%10.6f\n vertical scale:\t%10.6f\n'); +fprintf(1, format_string, ... + exp(net.bias), exp(net.noise), exp(net.inweights(1)), exp(net.fpar(1))); +fprintf(1, '\n\nFor rational quadratic covariance function,'); +if flops_works + fprintf(1, 'flops = %d', rflops); +end +fprintf(1, '\nfinal hyperparameters:\n') +format_string = [format_string ' cov decay order:\t%10.6f\n']; +fprintf(1, format_string, ... + exp(net2.bias), exp(net2.noise), exp(net2.inweights(1)), ... + exp(net2.fpar(1)), exp(net2.fpar(2))); +disp(' ') +disp('Press any key to continue') +pause + +disp(' ') +disp('Now we plot the data, underlying function, model outputs and two') +disp('standard deviation error bars on a single graph to compare the results.') +disp(' ') +disp('Press any key to continue.') +pause +cn = gpcovar(net, x); +cninv = inv(cn); +[ytest, sigsq] = gpfwd(net, xtest, cninv); +sig = sqrt(sigsq); + +fh1 = figure; +hold on +plot(x, t, 'ok'); +xlabel('Input') +ylabel('Target') +fplot('sin(2*pi*x)', [0 1], '--m'); +plot(xtest, ytest, '-k'); +plot(xtest, ytest+(2*sig), '-b', xtest, ytest-(2*sig), '-b'); +axis([0 1 -1.5 1.5]); +title('Squared exponential covariance function') +legend('data', 'function', 'GP', 'error bars'); +hold off + +cninv2 = inv(gpcovar(net2, x)); +[ytest2, sigsq2] = gpfwd(net2, xtest, cninv2); +sig2 = sqrt(sigsq2); +fh2 = figure; +hold on +plot(x, t, 'ok'); +xlabel('Input') +ylabel('Target') +fplot('sin(2*pi*x)', [0 1], '--m'); +plot(xtest, ytest2, '-k'); +plot(xtest, ytest2+(2*sig2), '-b', xtest, ytest2-(2*sig2), '-b'); +axis([0 1 -1.5 1.5]); +title('Rational quadratic covariance function') +legend('data', 'function', 'GP', 'error bars'); +hold off + +disp(' ') +disp('Press any key to end.') +pause +close(fh1); +close(fh2); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demgpard.m b/sourcecodes/bnt-master/netlab3.3/demgpard.m new file mode 100644 index 00000000..82e8d2a1 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgpard.m @@ -0,0 +1,126 @@ +%DEMGPARD Demonstrate ARD using a Gaussian Process. +% +% Description +% The data consists of three input variables X1, X2 and X3, and one +% target variable T. The target data is generated by computing +% SIN(2*PI*X1) and adding Gaussian noise, x2 is a copy of x1 with a +% higher level of added noise, and x3 is sampled randomly from a +% Gaussian distribution. A Gaussian Process, is trained by optimising +% the hyperparameters using the scaled conjugate gradient algorithm. +% The final values of the hyperparameters show that the model +% successfully identifies the importance of each input. +% +% See also +% DEMGP, GP, GPERR, GPFWD, GPGRAD, GPINIT, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc; +randn('state', 1729); +rand('state', 1729); +disp('This demonstration illustrates the technique of automatic relevance') +disp('determination (ARD) using a Gaussian Process.') +disp(' '); +disp('First, we set up a synthetic data set involving three input variables:') +disp('x1 is sampled uniformly from the range (0,1) and has a low level of') +disp('added Gaussian noise, x2 is a copy of x1 with a higher level of added') +disp('noise, and x3 is sampled randomly from a Gaussian distribution. The') +disp('single target variable is given by t = sin(2*pi*x1) with additive') +disp('Gaussian noise. Thus x1 is very relevant for determining the target') +disp('value, x2 is of some relevance, while x3 should in principle be') +disp('irrelevant.') +disp(' '); +disp('Press any key to see a plot of t against x1.') +pause; + +ndata = 100; +x1 = rand(ndata, 1); +x2 = x1 + 0.05*randn(ndata, 1); +x3 = 0.5 + 0.5*randn(ndata, 1); +x = [x1, x2, x3]; +t = sin(2*pi*x1) + 0.1*randn(ndata, 1); + +% Plot the data and the original function. +h = figure; +plotvals = linspace(0, 1, 200)'; +plot(x1, t, 'ob') +hold on +xlabel('Input x1') +ylabel('Target') +axis([0 1 -1.5 1.5]) +[fx, fy] = fplot('sin(2*pi*x)', [0 1]); +plot(fx, fy, '-g', 'LineWidth', 2); +legend('data', 'function'); + +disp(' '); +disp('Press any key to continue') +pause; clc; + +disp('The Gaussian Process has a separate hyperparameter for each input.') +disp('The hyperparameters are trained by error minimisation using the scaled.') +disp('conjugate gradient optimiser.') +disp(' '); +disp('Press any key to create and train the model.') +disp(' '); +pause; + +net = gp(3, 'sqexp'); +% Initialise the parameters. +prior.pr_mean = 0; +prior.pr_var = 0.1; +net = gpinit(net, x, t, prior); + +% Now train to find the hyperparameters. +options = foptions; +options(1) = 1; +options(14) = 30; + +[net, options] = netopt(net, options, x, t, 'scg'); + +rel = exp(net.inweights); + +fprintf(1, ... + '\nFinal hyperparameters:\n\n bias:\t\t%10.6f\n noise:\t%10.6f\n', ... + exp(net.bias), exp(net.noise)); +fprintf(1, ' Vertical scale: %8.6f\n', exp(net.fpar(1))); +fprintf(1, ' Input 1:\t%10.6f\n Input 2:\t%10.6f\n', ... + rel(1), rel(2)); +fprintf(1, ' Input 3:\t%10.6f\n\n', rel(3)); +disp(' '); +disp('We see that the inverse lengthscale associated with') +disp('input x1 is large, that of x2 has an intermediate value and the variance') +disp('of weights associated with x3 is small.') +disp(' '); +disp('This implies that the Gaussian Process is giving greatest emphasis') +disp('to x1 and least emphasis to x3, with intermediate emphasis on') +disp('x2 in the covariance function.') +disp(' ') +disp('Since the target t is statistically independent of x3 we might') +disp('expect the weights associated with this input would go to') +disp('zero. However, for any finite data set there may be some chance') +disp('correlation between x3 and t, and so the corresponding hyperparameter remains') +disp('finite.') +disp('Press any key to continue.') +pause + +disp('Finally, we plot the output of the Gaussian Process along the line') +disp('x1 = x2 = x3, together with the true underlying function.') +xt = linspace(0, 1, 50); +xtest = [xt', xt', xt']; + +cn = gpcovar(net, x); +cninv = inv(cn); +[ytest, sigsq] = gpfwd(net, xtest, cninv); +sig = sqrt(sigsq); + +figure(h); hold on; +plot(xt, ytest, '-k'); +plot(xt, ytest+(2*sig), '-b', xt, ytest-(2*sig), '-b'); +axis([0 1 -1.5 1.5]); +fplot('sin(2*pi*x)', [0 1], '--m'); + +disp(' '); +disp('Press any key to end.') +pause; clc; close(h); clear all + diff --git a/sourcecodes/bnt-master/netlab3.3/demgpot.m b/sourcecodes/bnt-master/netlab3.3/demgpot.m new file mode 100644 index 00000000..c859fd0b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgpot.m @@ -0,0 +1,29 @@ +function g = demgpot(x, mix) +%DEMGPOT Computes the gradient of the negative log likelihood for a mixture model. +% +% Description +% This function computes the gradient of the negative log of the +% unconditional data density P(X) with respect to the coefficients of +% the data vector X for a Gaussian mixture model. The data structure +% MIX defines the mixture model, while the matrix X contains the data +% vector as a row vector. Note the unusual order of the arguments: this +% is so that the function can be used in DEMHMC1 directly for sampling +% from the distribution P(X). +% +% See also +% DEMHMC1, DEMMET1, DEMPOT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Computes the potential gradient + +temp = (ones(mix.ncentres,1)*x)-mix.centres; +temp = temp.*(gmmactiv(mix,x)'*ones(1, mix.nin)); +% Assume spherical covariance structure +if ~strcmp(mix.covar_type, 'spherical') + error('Spherical covariance only.') +end +temp = temp./(mix.covars'*ones(1, mix.nin)); +temp = temp.*(mix.priors'*ones(1, mix.nin)); +g = sum(temp, 1)/gmmprob(mix, x); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demgtm1.m b/sourcecodes/bnt-master/netlab3.3/demgtm1.m new file mode 100644 index 00000000..a127617f --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgtm1.m @@ -0,0 +1,147 @@ +%DEMGTM1 Demonstrate EM for GTM. +% +% Description +% This script demonstrates the use of the EM algorithm to fit a one- +% dimensional GTM to a two-dimensional set of data using maximum +% likelihood. The location and spread of the Gaussian kernels in the +% data space is shown during training. +% +% See also +% DEMGTM2, GTM, GTMEM, GTMPOST +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Demonstrates the GTM with a 2D target space and a 1D latent space. +% +% This script generates a simple data set in 2 dimensions, +% with an intrinsic dimensionality of 1, and trains a GTM +% with a 1-dimensional latent variable to model this data +% set, visually illustrating the training process +% +% Synopsis: gtm_demo + +% Generate and plot a 2D data set + +data_min = 0.15; +data_max = 3.05; +T = [data_min:0.05:data_max]'; +T = [T (T + 1.25*sin(2*T))]; +fh1 = figure; +plot(T(:,1), T(:,2), 'ro'); +axis([data_min-0.05 data_max+0.05 data_min-0.05 data_max+0.05]); +clc; +disp('This demonstration shows in detail how the EM algorithm works') +disp('for training a GTM with a one dimensional latent space.') +disp(' ') +fprintf([... +'The figure shows data generated by feeding a 1D uniform distribution\n', ... +'(on the X-axis) through a non-linear function (y = x + 1.25*sin(2*x))\n', ... +'\nPress any key to continue ...\n\n']); +pause; + +% Generate a unit circle figure, to be used for plotting +src = [0:(2*pi)/(20-1):2*pi]'; +unitC = [sin(src) cos(src)]; + +% Generate and plot (along with the data) an initial GTM model + +clc; +num_latent_points = 20; +num_rbf_centres = 5; + +net = gtm(1, num_latent_points, 2, num_rbf_centres, 'gaussian'); + +options = zeros(1, 18); +options(7) = 1; +net = gtminit(net, options, T, 'regular', num_latent_points, ... + num_rbf_centres); + +mix = gtmfwd(net); +% Replot the figure +hold off; +plot(mix.centres(:,1), mix.centres(:,2), 'g'); +hold on; +for i=1:num_latent_points + c = 2*unitC*sqrt(mix.covars(1)) + [ones(20,1)*mix.centres(i,1) ... + ones(num_latent_points,1)*mix.centres(i,2)]; + fill(c(:,1), c(:,2), [0.8 1 0.8]); +end +plot(T(:,1), T(:,2), 'ro'); +plot(mix.centres(:,1), mix.centres(:,2), 'g+'); +plot(mix.centres(:,1), mix.centres(:,2), 'g'); +axis([data_min-0.05 data_max+0.05 data_min-0.05 data_max+0.05]); +drawnow; +title('Initial configuration'); +disp(' ') +fprintf([... +'The figure shows the starting point for the GTM, before the training.\n', ... +'A discrete latent variable distribution of %d points in 1 dimension \n', ... +'is mapped to the 1st principal component of the target data by an RBF.\n', ... +'with %d basis functions. Each of the %d points defines the centre of\n', ... +'a Gaussian in a Gaussian mixture, marked by the green ''+''-signs. The\n', ... +'mixture components all have equal variance, illustrated by the filled\n', ... +'circle around each ''+''-sign, the radii corresponding to 2 standard\n', ... +'deviations. The ''+''-signs are connected with a line according to their\n', ... +'corresponding ordering in latent space.\n\n', ... +'Press any key to begin training ...\n\n'], num_latent_points, ... +num_rbf_centres, num_latent_points); +pause; + +figure(fh1); +%%%% Train the GTM and plot it (along with the data) as training proceeds %%%% +options = foptions; +options(1) = -1; % Turn off all warning messages +options(14) = 1; +for j = 1:15 + [net, options] = gtmem(net, T, options); + hold off; + mix = gtmfwd(net); + plot(mix.centres(:,1), mix.centres(:,2), 'g'); + hold on; + for i=1:20 + c = 2*unitC*sqrt(mix.covars(1)) + [ones(20,1)*mix.centres(i,1) ... + ones(20,1)*mix.centres(i,2)]; + fill(c(:,1), c(:,2), [0.8 1.0 0.8]); + end + plot(T(:,1), T(:,2), 'ro'); + plot(mix.centres(:,1), mix.centres(:,2), 'g+'); + plot(mix.centres(:,1), mix.centres(:,2), 'g'); + axis([0 3.5 0 3.5]); + title(['After ', int2str(j),' iterations of training.']); + drawnow; + if (j == 4) + fprintf([... +'The GTM initially adapts relatively quickly - already after \n', ... +'4 iterations of training, a rough fit is attained.\n\n', ... +'Press any key to continue training ...\n\n']); +pause; +figure(fh1); + elseif (j == 8) + fprintf([... +'After another 4 iterations of training: from now on further \n', ... +'training only makes small changes to the mapping, which combined with \n', ... +'decrements of the Gaussian mixture variance, optimize the fit in \n', ... +'terms of likelihood.\n\n', ... +'Press any key to continue training ...\n\n']); +pause; +figure(fh1); + else + pause(1); + end +end + +clc; +fprintf([... +'After 15 iterations of training the GTM can be regarded as converged. \n', ... +'Is has been adapted to fit the target data distribution as well \n', ... +'as possible, given prior smoothness constraints on the mapping. It \n', ... +'captures the fact that the probabilty density is higher at the two \n', ... +'bends of the curve, and lower towards its end points.\n\n']); +disp(' '); +disp('Press any key to exit.'); +pause; + +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demgtm2.m b/sourcecodes/bnt-master/netlab3.3/demgtm2.m new file mode 100644 index 00000000..2cfa907c --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demgtm2.m @@ -0,0 +1,194 @@ +%DEMGTM2 Demonstrate GTM for visualisation. +% +% Description +% This script demonstrates the use of a GTM with a two-dimensional +% latent space to visualise data in a higher dimensional space. This is +% done through the use of the mean responsibility and magnification +% factors. +% +% See also +% DEMGTM1, GTM, GTMEM, GTMPOST +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Fix seeds for reproducible results +rand('state', 420); +randn('state', 420); + +ndata = 300 +clc; +disp('This demonstration shows how a Generative Topographic Mapping') +disp('can be used to model and visualise high dimensional data. The') +disp('data is generated from a mixture of two spherical Gaussians in') +dstring = ['four dimensional space. ', num2str(ndata), ... + ' data points are generated.']; +disp(dstring); +disp(' '); +disp('Press any key to continue.') +pause +% Create data +data_dim = 4; +latent_dim = 2; +mix = gmm(data_dim, 2, 'spherical'); +mix.centres = [1 1 1 1; 0 0 0 0]; +mix.priors = [0.5 0.5]; +mix.covars = [0.1 0.1]; + +[data, labels] = gmmsamp(mix, ndata); + +latent_shape = [15 15]; % Number of latent points in each dimension +nlatent = prod(latent_shape); % Number of latent points +num_rbf_centres = 16; + +clc; +dstring = ['Next we generate and initialise the GTM. There are ',... + num2str(nlatent), ' latent points']; +disp(dstring); +dstring = ['arranged in a square of ', num2str(latent_shape(1)), ... + ' points on a side. There are ', num2str(num_rbf_centres), ... + ' centres in the']; +disp(dstring); +disp('RBF model, which has Gaussian activation functions.') +disp(' ') +disp('Once the model is created, the latent data sample') +disp('and RBF centres are placed uniformly in the square [-1 1 -1 1].') +disp('The output weights of the RBF are computed to map the latent'); +disp('space to the two dimensional PCA subspace of the data.'); +disp(' ') +disp('Press any key to continue.'); +pause; + +% Create and initialise GTM model +net = gtm(latent_dim, nlatent, data_dim, num_rbf_centres, ... + 'gaussian', 0.1); + +options = foptions; +options(1) = -1; +options(7) = 1; % Set width factor of RBF +net = gtminit(net, options, data, 'regular', latent_shape, [4 4]); + +options = foptions; +options(14) = 30; +options(1) = 1; + +clc; +dstring = ['We now train the model with ', num2str(options(14)), ... + ' iterations of']; +disp(dstring) +disp('the EM algorithm for the GTM.') +disp(' ') +disp('Press any key to continue.') +pause; + +[net, options] = gtmem(net, data, options); + +disp(' ') +disp('Press any key to continue.') +pause; + +clc; +disp('We now visualise the data by plotting, for each data point,'); +disp('the posterior mean and mode (in latent space). These give'); +disp('a summary of the entire posterior distribution in latent space.') +disp('The corresponding values are joined by a line to aid the') +disp('interpretation.') +disp(' ') +disp('Press any key to continue.'); +pause; +% Plot posterior means +means = gtmlmean(net, data); +modes = gtmlmode(net, data); +PointSize = 12; +ClassSymbol1 = 'r.'; +ClassSymbol2 = 'b.'; +fh1 = figure; +hold on; +title('Visualisation in latent space') +plot(means((labels==1),1), means(labels==1,2), ... + ClassSymbol1, 'MarkerSize', PointSize) +plot(means((labels>1),1),means(labels>1,2),... + ClassSymbol2, 'MarkerSize', PointSize) + +ClassSymbol1 = 'ro'; +ClassSymbol2 = 'bo'; +plot(modes(labels==1,1), modes(labels==1,2), ... + ClassSymbol1) +plot(modes(labels>1,1),modes(labels>1,2),... + ClassSymbol2) + +% Join up means and modes +for n = 1:ndata + plot([means(n,1); modes(n,1)], [means(n,2); modes(n,2)], 'g-') +end +% Place legend outside data plot +legend('Mean (class 1)', 'Mean (class 2)', 'Mode (class 1)',... + 'Mode (class 2)', -1); + +% Display posterior for a data point +% Choose an interesting one with a large distance between mean and +% mode +[distance, point] = max(sum((means-modes).^2, 2)); +resp = gtmpost(net, data(point, :)); + +disp(' ') +disp('For more detailed information, the full posterior distribution') +disp('(or responsibility) can be plotted in latent space for a') +disp('single data point. This point has been chosen as the one') +disp('with the largest distance between mean and mode.') +disp(' ') +disp('Press any key to continue.'); +pause; + +R = reshape(resp, fliplr(latent_shape)); +XL = reshape(net.X(:,1), fliplr(latent_shape)); +YL = reshape(net.X(:,2), fliplr(latent_shape)); + +fh2 = figure; +imagesc(net.X(:, 1), net.X(:,2), R); +hold on; +tstr = ['Responsibility for point ', num2str(point)]; +title(tstr); +set(gca,'YDir','normal') +colormap(hot); +colorbar +disp(' '); +disp('Press any key to continue.') +pause + +clc +disp('Finally, we visualise the data with the posterior means in') +disp('latent space as before, but superimpose the magnification') +disp('factors to highlight the separation between clusters.') +disp(' ') +disp('Note the large magnitude factors down the centre of the') +disp('graph, showing that the manifold is stretched more in') +disp('this region than within each of the two clusters.') +ClassSymbol1 = 'g.'; +ClassSymbol2 = 'b.'; + +fh3 = figure; +mags = gtmmag(net, net.X); +% Reshape into grid form +Mags = reshape(mags, fliplr(latent_shape)); +imagesc(net.X(:, 1), net.X(:,2), Mags); +hold on +title('Dataset visualisation with magnification factors') +set(gca,'YDir','normal') +colormap(hot); +colorbar +hold on; % Else the magnification plot disappears +plot(means(labels==1,1), means(labels==1,2), ... + ClassSymbol1, 'MarkerSize', PointSize) +plot(means(labels>1,1), means(labels>1,2), ... + ClassSymbol2, 'MarkerSize', PointSize) + +disp(' ') +disp('Press any key to exit.') +pause + +close(fh1); +close(fh2); +close(fh3); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demhint.m b/sourcecodes/bnt-master/netlab3.3/demhint.m new file mode 100644 index 00000000..bd2e5025 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demhint.m @@ -0,0 +1,49 @@ +function demhint(nin, nhidden, nout) +%DEMHINT Demonstration of Hinton diagram for 2-layer feed-forward network. +% +% Description +% +% DEMHINT plots a Hinton diagram for a 2-layer feedforward network with +% 5 inputs, 4 hidden units and 3 outputs. The weight vector is chosen +% from a Gaussian distribution as described under MLP. +% +% DEMHINT(NIN, NHIDDEN, NOUT) allows the user to specify the number of +% inputs, hidden units and outputs. +% +% See also +% HINTON, HINTMAT, MLP, MLPPAK, MLPUNPAK +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin < 1 nin = 5; end +if nargin < 2 nhidden = 7; end +if nargin < 3 nout = 3; end + +% Fix the seed for reproducible results +randn('state', 42); +clc +disp('This demonstration illustrates the plotting of Hinton diagrams') +disp('for Multi-Layer Perceptron networks.') +disp(' ') +disp('Press any key to continue.') +pause +net = mlp(nin, nhidden, nout, 'linear'); + +[h1, h2] = mlphint(net); +clc +disp('The MLP has been created with') +disp([' ' int2str(nin) ' inputs']) +disp([' ' int2str(nhidden) ' hidden units']) +disp([' ' int2str(nout) ' outputs']) +disp(' ') +disp('One figure is produced for each layer of weights.') +disp('For each layer the fan-in weights are arranged in rows for each unit.') +disp('The bias weight is separated from the rest by a red vertical line.') +disp('The area of each box is proportional to the weight value: positive') +disp('values are white, and negative are black.') +disp(' ') +disp('Press any key to exit.'); +pause; +delete(h1); +delete(h2); diff --git a/sourcecodes/bnt-master/netlab3.3/demhmc1.m b/sourcecodes/bnt-master/netlab3.3/demhmc1.m new file mode 100644 index 00000000..69102f9e --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demhmc1.m @@ -0,0 +1,145 @@ +%DEMHMC1 Demonstrate Hybrid Monte Carlo sampling on mixture of two Gaussians. +% +% Description +% The problem consists of generating data from a mixture of two +% Gaussians in two dimensions using a hybrid Monte Carlo algorithm with +% persistence. A mixture model is then fitted to the sample to compare +% it with the true underlying generator. +% +% See also +% DEMHMC3, HMC, DEMPOT, DEMGPOT +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +dim = 2; % Data dimension +ncentres = 2; % Number of centres in mixture model + +seed = 42; % Seed for random weight initialization. +randn('state', seed); +rand('state', seed); + +clc +disp('This demonstration illustrates the use of the hybrid Monte Carlo') +disp('algorithm to sample from a mixture of two Gaussians.') +disp('The means of the two components are [0 0] and [2 2].') +disp(' ') +disp('First we set up the parameters of the mixture model we are sampling') +disp('from.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up mixture model to sample from +mix = gmm(dim, ncentres, 'spherical'); +mix.centres(1, :) = [0 0]; +mix.centres(2, :) = [2 2]; +x = [0 1]; % Start vector + +% Set up vector of options for hybrid Monte Carlo. + +nsamples = 160; % Number of retained samples. + +options = foptions; % Default options vector. +options(1) = 1; % Switch on diagnostics. +options(5) = 1; % Use persistence +options(7) = 50; % Number of steps in trajectory. +options(14) = nsamples; % Number of Monte Carlo samples returned. +options(15) = 30; % Number of samples omitted at start of chain. +options(18) = 0.02; + +clc +disp(['Next we take ', num2str(nsamples),' samples from the distribution.'... + , 'The first ', num2str(options(15))]) +disp('samples at the start of the chain are omitted. As persistence') +disp('is used, the momentum has a small random component added at each step.') +disp([num2str(options(7)), ... + ' iterations are used at each step and the step size is ',... + num2str(options(18))]) +disp('Sampling starts at the point [0 1].') +disp('The new state is accepted if the threshold value is greater than') +disp('a random number between 0 and 1.') +disp(' ') +disp('Negative step numbers indicate samples discarded from the start of the') +disp('chain.') +disp(' ') +disp('Press any key to continue.') +pause + +[samples, energies] = hmc('dempot', x, options, 'demgpot', mix); + +disp(' ') +disp('Press any key to continue.') +pause +clc +disp('The plot shows the samples generated by the HMC function.') +disp('The different colours are used to show how the samples move from') +disp('one component to the other over time.') +disp(' ') +disp('Press any key to continue.') +pause +probs = exp(-energies); +fh1 = figure; +% Plot data in 4 groups +ngroups = 4; +g1end = floor(nsamples/ngroups); +g2end = floor(2*nsamples/ngroups); +g3end = floor(3*nsamples/ngroups); +p1 = plot(samples(1:g1end,1), samples(1:g1end,2), 'k.', 'MarkerSize', 12); +hold on +lstrings = char(['Samples 1-' int2str(g1end)], ... + ['Samples ' int2str(g1end+1) '-' int2str(g2end)], ... + ['Samples ' int2str(g2end+1) '-' int2str(g3end)], ... + ['Samples ' int2str(g3end+1) '-' int2str(nsamples)]); +p2 = plot(samples(g1end+1:g2end,1), samples(g1end+1:g2end,2), ... + 'r.', 'MarkerSize', 12); +p3 = plot(samples(g2end+1:g3end,1), samples(g2end+1:g3end,2), ... + 'g.', 'MarkerSize', 12); +p4 = plot(samples(g3end+1:nsamples,1), samples(g3end+1:nsamples,2), ... + 'b.', 'MarkerSize', 12); +legend([p1 p2 p3 p4], lstrings, 2); + +clc +disp('We now fit a Gaussian mixture model to the sampled data.') +disp('The model has spherical covariance structure and the correct') +disp('number of components.') +disp(' ') +disp('Press any key to continue.') +pause +% Fit a mixture model to the sample +newmix = gmm(dim, ncentres, 'spherical'); +options = foptions; +options(1) = -1; % Switch off all diagnostics +options(14) = 5; % Just use 5 iterations of k-means in initialisation +% Initialise the model parameters from the samples +newmix = gmminit(newmix, samples, options); + +% Set up vector of options for EM trainer +options = zeros(1, 18); +options(1) = 1; % Prints out error values. +options(14) = 15; % Max. Number of iterations. + +disp('We now train the model using the EM algorithm for 15 iterations') +disp(' ') +disp('Press any key to continue') +pause +[newmix, options, errlog] = gmmem(newmix, samples, options); + +% Print out model +disp(' ') +disp('The trained model has parameters ') +disp(' Priors Centres Variances') +disp([newmix.priors' newmix.centres newmix.covars']) +disp('Note the close correspondence between these parameters and those') +disp('of the distribution used to generate the data') +disp(' ') +disp(' Priors Centres Variances') +disp([mix.priors' mix.centres mix.covars']) +disp(' ') +disp('Press any key to exit') +pause + +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demhmc2.m b/sourcecodes/bnt-master/netlab3.3/demhmc2.m new file mode 100644 index 00000000..d3df79d8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demhmc2.m @@ -0,0 +1,132 @@ +%DEMHMC2 Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling X at equal intervals and then +% generating target data by computing SIN(2*PI*X) and adding Gaussian +% noise. The model is a 2-layer network with linear outputs, and the +% hybrid Monte Carlo algorithm (without persistence) is used to sample +% from the posterior distribution of the weights. The graph shows the +% underlying function, 100 samples from the function given by the +% posterior distribution of the weights, and the average prediction +% (weighted by the posterior probabilities). +% +% See also +% DEMHMC3, HMC, MLP, MLPERR, MLPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. +ndata = 20; % Number of data points. +noise = 0.1; % Standard deviation of noise distribution. +nin = 1; % Number of inputs. +nout = 1; % Number of outputs. + +seed = 42; % Seed for random weight initialization. +randn('state', seed); +rand('state', seed); + +x = 0.25 + 0.1*randn(ndata, nin); +t = sin(2*pi*x) + noise*randn(size(x)); + +clc +disp('This demonstration illustrates the use of the hybrid Monte Carlo') +disp('algorithm to sample from the posterior weight distribution of a') +disp('multi-layer perceptron.') +disp(' ') +disp('A regression problem is used, with the one-dimensional data drawn') +disp('from a noisy sine function. The x values are sampled from a normal') +disp('distribution with mean 0.25 and variance 0.01.') +disp(' ') +disp('First we initialise the network.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up network parameters. +nhidden = 5; % Number of hidden units. +alpha = 0.001; % Coefficient of weight-decay prior. +beta = 100.0; % Coefficient of data error. + +% Create and initialize network model. +% Initialise weights reasonably close to 0 +net = mlp(nin, nhidden, nout, 'linear', alpha, beta); +net = mlpinit(net, 10); + +clc +disp('Next we take 100 samples from the posterior distribution. The first') +disp('200 samples at the start of the chain are omitted. As persistence') +disp('is not used, the momentum is randomised at each step. 100 iterations') +disp('are used at each step. The new state is accepted if the threshold') +disp('value is greater than a random number between 0 and 1.') +disp(' ') +disp('Negative step numbers indicate samples discarded from the start of the') +disp('chain.') +disp(' ') +disp('Press any key to continue.') +pause +% Set up vector of options for hybrid Monte Carlo. +nsamples = 100; % Number of retained samples. + +options = foptions; % Default options vector. +options(1) = 1; % Switch on diagnostics. +options(7) = 100; % Number of steps in trajectory. +options(14) = nsamples; % Number of Monte Carlo samples returned. +options(15) = 200; % Number of samples omitted at start of chain. +options(18) = 0.002; % Step size. + +w = mlppak(net); +% Initialise HMC +hmc('state', 42); +[samples, energies] = hmc('neterr', w, options, 'netgrad', net, x, t); + +clc +disp('The plot shows the underlying noise free function, the 100 samples') +disp('produced from the MLP, and their average as a Monte Carlo estimate') +disp('of the true posterior average.') +disp(' ') +disp('Press any key to continue.') +pause +nplot = 300; +plotvals = [0 : 1/(nplot - 1) : 1]'; +pred = zeros(size(plotvals)); +fh = figure; +for k = 1:nsamples + w2 = samples(k,:); + net2 = mlpunpak(net, w2); + y = mlpfwd(net2, plotvals); + % Average sample predictions as Monte Carlo estimate of true integral + pred = pred + y; + h4 = plot(plotvals, y, '-r', 'LineWidth', 1); + if k == 1 + hold on + end +end +pred = pred./nsamples; + +% Plot data +h1 = plot(x, t, 'ob', 'LineWidth', 2, 'MarkerFaceColor', 'blue'); +axis([0 1 -3 3]) + +% Plot function +[fx, fy] = fplot('sin(2*pi*x)', [0 1], '--g'); +h2 = plot(fx, fy, '--g', 'LineWidth', 2); +set(gca, 'box', 'on'); + +% Plot averaged prediction +h3 = plot(plotvals, pred, '-c', 'LineWidth', 2); +hold off + +lstrings = char('Data', 'Function', 'Prediction', 'Samples'); +legend([h1 h2 h3 h4], lstrings, 3); + +disp('Note how the predictions become much further from the true function') +disp('away from the region of high data density.') +disp(' ') +disp('Press any key to exit.') +pause +close(fh); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demhmc3.m b/sourcecodes/bnt-master/netlab3.3/demhmc3.m new file mode 100644 index 00000000..f2956ae5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demhmc3.m @@ -0,0 +1,135 @@ +%DEMHMC3 Demonstrate Bayesian regression with Hybrid Monte Carlo sampling. +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling X at equal intervals and then +% generating target data by computing SIN(2*PI*X) and adding Gaussian +% noise. The model is a 2-layer network with linear outputs, and the +% hybrid Monte Carlo algorithm (with persistence) is used to sample +% from the posterior distribution of the weights. The graph shows the +% underlying function, 300 samples from the function given by the +% posterior distribution of the weights, and the average prediction +% (weighted by the posterior probabilities). +% +% See also +% DEMHMC2, HMC, MLP, MLPERR, MLPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. +ndata = 20; % Number of data points. +noise = 0.1; % Standard deviation of noise distribution. +nin = 1; % Number of inputs. +nout = 1; % Number of outputs. + +seed = 42; % Seed for random number generators. +randn('state', seed); +rand('state', seed); + +x = 0.25 + 0.1*randn(ndata, nin); +t = sin(2*pi*x) + noise*randn(size(x)); + +clc +disp('This demonstration illustrates the use of the hybrid Monte Carlo') +disp('algorithm to sample from the posterior weight distribution of a') +disp('multi-layer perceptron.') +disp(' ') +disp('A regression problem is used, with the one-dimensional data drawn') +disp('from a noisy sine function. The x values are sampled from a normal') +disp('distribution with mean 0.25 and variance 0.01.') +disp(' ') +disp('First we initialise the network.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up network parameters. +nhidden = 5; % Number of hidden units. +alpha = 0.001; % Coefficient of weight-decay prior. +beta = 100.0; % Coefficient of data error. + +% Create and initialize network model. + +% Initialise weights reasonably close to 0 +net = mlp(nin, nhidden, nout, 'linear', alpha, beta); +net = mlpinit(net, 10); + +clc +disp('Next we take 100 samples from the posterior distribution. The first') +disp('300 samples at the start of the chain are omitted. As persistence') +disp('is used, the momentum has a small random component added at each step.') +disp('10 iterations are used at each step (compared with 100 in demhmc2).') +disp('The step size is 0.005 (compared with 0.002).') +disp('The new state is accepted if the threshold') +disp('value is greater than a random number between 0 and 1.') +disp(' ') +disp('Negative step numbers indicate samples discarded from the start of the') +disp('chain.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up vector of options for hybrid Monte Carlo. +nsamples = 100; % Number of retained samples. + +options = foptions; % Default options vector. +options(1) = 1; % Switch on diagnostics. +options(5) = 1; % Use persistence +options(7) = 10; % Number of steps in trajectory. +options(14) = nsamples; % Number of Monte Carlo samples returned. +options(15) = 300; % Number of samples omitted at start of chain. +options(17) = 0.95; % Alpha value in persistence +options(18) = 0.005; % Step size. + +w = mlppak(net); +% Initialise HMC +hmc('state', 42); +[samples, energies] = hmc('neterr', w, options, 'netgrad', net, x, t); + +clc +disp('The plot shows the underlying noise free function, the 100 samples') +disp('produced from the MLP, and their average as a Monte Carlo estimate') +disp('of the true posterior average.') +disp(' ') +disp('Press any key to continue.') +pause + +nplot = 300; +plotvals = [0 : 1/(nplot - 1) : 1]'; +pred = zeros(size(plotvals)); +fh1 = figure; +hold on +for k = 1:nsamples + w2 = samples(k,:); + net2 = mlpunpak(net, w2); + y = mlpfwd(net2, plotvals); + % Sum predictions + pred = pred + y; + h4 = plot(plotvals, y, '-r', 'LineWidth', 1); +end +pred = pred./nsamples; +% Plot data +h1 = plot(x, t, 'ob', 'LineWidth', 2, 'MarkerFaceColor', 'blue'); +axis([0 1 -3 3]) + +% Plot function +[fx, fy] = fplot('sin(2*pi*x)', [0 1], '--g'); +h2 = plot(fx, fy, '--g', 'LineWidth', 2); +set(gca, 'box', 'on'); + +% Plot averaged prediction +h3 = plot(plotvals, pred, '-c', 'LineWidth', 2); + +lstrings = char('Data', 'Function', 'Prediction', 'Samples'); +legend([h1 h2 h3 h4], lstrings, 3); +hold off + +disp('Note how the predictions become much further from the true function') +disp('away from the region of high data density.') +disp(' ') +disp('Press any key to exit.') +pause +close(fh1); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demkmn1.m b/sourcecodes/bnt-master/netlab3.3/demkmn1.m new file mode 100644 index 00000000..d9a7c6e2 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demkmn1.m @@ -0,0 +1,111 @@ +%DEMKMEAN Demonstrate simple clustering model trained with K-means. +% +% Description +% The problem consists of data in a two-dimensional space. The data is +% drawn from three spherical Gaussian distributions with priors 0.3, +% 0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and standard +% deviations 0.2, 0.5 and 1.0. The first figure contains a scatter plot +% of the data. The data is the same as in DEMGMM1. +% +% A cluster model with three components is trained using the batch K- +% means algorithm. The matrix of centres is printed after training. The +% second figure shows the data labelled with a colour derived from the +% corresponding cluster +% +% See also +% DEM2DDAT, DEMGMM1, KNN1, KMEANS +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Generate the data, fixing seeds for reproducible results +ndata = 250; +randn('state', 42); +rand('state', 42); +data = dem2ddat(ndata); + +% Randomise data order +data = data(randperm(ndata),:); + +clc +disp('This demonstration illustrates the use of a cluster model to') +disp('find centres that reflect the distribution of data points.') +disp('We begin by generating the data from a mixture of three Gaussians') +disp('in two-dimensional space and plotting it.') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') +title('Data') + +% Set up cluster model +ncentres = 3; +centres = zeros(ncentres, 2); + +% Set up vector of options for kmeans trainer +options = foptions; +options(1) = 1; % Prints out error values. +options(5) = 1; +options(14) = 10; % Number of iterations. + +clc +disp('The model is chosen to have three centres, which are initialised') +disp('at randomly selected data points. We now train the model using') +disp('the batch K-means algorithm with a maximum of 10 iterations and') +disp('stopping tolerance of 1e-4.') +disp(' ') +disp('Press any key to continue.') +pause + +% Train the centres from the data +[centres, options, post] = kmeans(centres, data, options); + +% Print out model +disp(' ') +disp('Note that training has terminated before 10 iterations as there') +disp('has been no change in the centres or error function.') +disp(' ') +disp('The trained model has centres:') +disp(centres); +disp('Press any key to continue.') +pause + +clc +disp('We now plot each data point coloured according to its classification') +disp('given by the nearest cluster centre. The cluster centres are denoted') +disp('by black crosses.') + +% Plot the result +fh2 = figure; + +hold on +colours = ['b.'; 'r.'; 'g.']; + +[tempi, tempj] = find(post); +hold on +for i = 1:3 + % Select data points closest to ith centre + thisX = data(tempi(tempj == i), 1); + thisY = data(tempi(tempj == i), 2); + hp(i) = plot(thisX, thisY, colours(i,:)); + set(hp(i), 'MarkerSize', 12); +end +set(gca, 'Box', 'on') +legend('Class 1', 'Class 2', 'Class 3', 2) +hold on +plot(centres(:, 1), centres(:,2), 'k+', 'LineWidth', 2, ... + 'MarkerSize', 8) +title('Centres and data labels') +hold off + +disp(' ') +disp('Press any key to end.') +pause + +close(fh1); +close(fh2); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demknn1.m b/sourcecodes/bnt-master/netlab3.3/demknn1.m new file mode 100644 index 00000000..6e3ec60a --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demknn1.m @@ -0,0 +1,103 @@ +%DEMKNN1 Demonstrate nearest neighbour classifier. +% +% Description +% The problem consists of data in a two-dimensional space. The data is +% drawn from three spherical Gaussian distributions with priors 0.3, +% 0.5 and 0.2; centres (2, 3.5), (0, 0) and (0,2); and standard +% deviations 0.2, 0.5 and 1.0. The first figure contains a scatter plot +% of the data. The data is the same as in DEMGMM1. +% +% The second figure shows the data labelled with the corresponding +% class given by the classifier. +% +% See also +% DEM2DDAT, DEMGMM1, KNN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +clc +disp('This program demonstrates the use of the K nearest neighbour algorithm.') +disp(' ') +disp('Press any key to continue.') +pause +% Generate the test data +ndata = 250; +randn('state', 42); +rand('state', 42); + +[data, c] = dem2ddat(ndata); + +% Randomise data order +data = data(randperm(ndata),:); + +clc +disp('We generate the data in two-dimensional space from a mixture of') +disp('three spherical Gaussians. The centres are shown as black crosses') +disp('in the plot.') +disp(' ') +disp('Press any key to continue.') +pause +fh1 = figure; +plot(data(:, 1), data(:, 2), 'o') +set(gca, 'Box', 'on') +hold on +title('Data') +hp1 = plot(c(:, 1), c(:,2), 'k+') +% Increase size of crosses +set(hp1, 'MarkerSize', 8); +set(hp1, 'LineWidth', 2); +hold off + +clc +disp('We next use the centres as training examplars for the K nearest') +disp('neighbour algorithm.') +disp(' ') +disp('Press any key to continue.') +pause + +% Use centres as training data +train_labels = [1, 0, 0; 0, 1, 0; 0, 0, 1]; + +% Label the test data up to kmax neighbours +kmax = 1; +net = knn(2, 3, kmax, c, train_labels); +[y, l] = knnfwd(net, data); + +clc +disp('We now plot each data point coloured according to its classification.') +disp(' ') +disp('Press any key to continue.') +pause +% Plot the result +fh2 = figure; +colors = ['b.'; 'r.'; 'g.']; +for i = 1:3 + thisX = data(l == i,1); + thisY = data(l == i,2); + hp(i) = plot(thisX, thisY, colors(i,:)); + set(hp(i), 'MarkerSize', 12); + if i == 1 + hold on + end +end +set(gca, 'Box', 'on'); +legend('Class 1', 'Class 2', 'Class 3', 2) +hold on +labels = ['1', '2', '3']; +hp2 = plot(c(:, 1), c(:,2), 'k+'); +% Increase size of crosses +set(hp2, 'MarkerSize', 8); +set(hp2, 'LineWidth', 2); + +test_labels = labels(l(:,1)); + +title('Training data and data labels') +hold off + +disp('The demonstration is now complete: press any key to exit.') +pause +close(fh1); +close(fh2); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demmdn1.m b/sourcecodes/bnt-master/netlab3.3/demmdn1.m new file mode 100644 index 00000000..43c2d98b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demmdn1.m @@ -0,0 +1,211 @@ +%DEMMDN1 Demonstrate fitting a multi-valued function using a Mixture Density Network. +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling T at equal intervals and then +% generating target data by computing T + 0.3*SIN(2*PI*T) and adding +% Gaussian noise. A Mixture Density Network with 3 centres in the +% mixture model is trained by minimizing a negative log likelihood +% error function using the scaled conjugate gradient optimizer. +% +% The conditional means, mixing coefficients and variances are plotted +% as a function of X, and a contour plot of the full conditional +% density is also generated. +% +% See also +% MDN, MDNERR, MDNGRAD, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. +seedn = 42; +seed = 42; +randn('state', seedn); +rand('state', seed); +ndata = 300; % Number of data points. +noise = 0.2; % Range of noise distribution. +t = [0:1/(ndata - 1):1]'; +x = t + 0.3*sin(2*pi*t) + noise*rand(ndata, 1) - noise/2; +axis_limits = [-0.2 1.2 -0.2 1.2]; + +clc +disp('This demonstration illustrates the use of a Mixture Density Network') +disp('to model multi-valued functions. The data is generated from the') +disp('mapping x = t + 0.3 sin(2 pi t) + e, where e is a noise term.') +disp('We begin by plotting the data.') +disp(' ') +disp('Press any key to continue') +pause +% Plot the data +fh1 = figure; +p1 = plot(x, t, 'ob'); +axis(axis_limits); +hold on +disp('Note that for x in the range 0.35 to 0.65, there are three possible') +disp('branches of the function.') +disp(' ') +disp('Press any key to continue') +pause + +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 5; % Number of hidden units. +ncentres = 3; % Number of mixture components. +dim_target = 1; % Dimension of target space +mdntype = '0'; % Currently unused: reserved for future use +alpha = 100; % Inverse variance for weight initialisation + % Make variance small for good starting point + +% Create and initialize network weight vector. +net = mdn(nin, nhidden, ncentres, dim_target, mdntype); +init_options = zeros(1, 18); +init_options(1) = -1; % Suppress all messages +init_options(14) = 10; % 10 iterations of K means in gmminit +net = mdninit(net, alpha, t, init_options); + +% Set up vector of options for the optimiser. +options = foptions; +options(1) = 1; % This provides display of error values. +options(14) = 200; % Number of training cycles. + +clc +disp('We initialise the neural network model, which is an MLP with a') +disp('Gaussian mixture model with three components and spherical variance') +disp('as the error function. This enables us to model the complete') +disp('conditional density function.') +disp(' ') +disp('Next we train the model for 200 epochs using a scaled conjugate gradient') +disp('optimizer. The error function is the negative log likelihood of the') +disp('training data.') +disp(' ') +disp('Press any key to continue.') +pause + +% Train using scaled conjugate gradients. +[net, options] = netopt(net, options, x, t, 'scg'); + +disp(' ') +disp('Press any key to continue.') +pause + +clc +disp('We can also train a conventional MLP with sum of squares error function.') +disp('This will approximate the conditional mean, which is not always a') +disp('good representation of the data. Note that the error function is the') +disp('sum of squares error on the training data, which accounts for the') +disp('different values from training the MDN.') +disp(' ') +disp('We train the network with the quasi-Newton optimizer for 80 epochs.') +disp(' ') +disp('Press any key to continue.') +pause +mlp_nhidden = 8; +net2 = mlp(nin, mlp_nhidden, dim_target, 'linear'); +options(14) = 80; +[net2, options] = netopt(net2, options, x, t, 'quasinew'); +disp(' ') +disp('Press any key to continue.') +pause + +clc +disp('Now we plot the underlying function, the MDN prediction,') +disp('represented by the mode of the conditional distribution, and the') +disp('prediction of the conventional MLP.') +disp(' ') +disp('Press any key to continue.') +pause + +% Plot the original function, and the trained network function. +plotvals = [0:0.01:1]'; +mixes = mdn2gmm(mdnfwd(net, plotvals)); +axis(axis_limits); +yplot = t+0.3*sin(2*pi*t); +p2 = plot(yplot, t, '--y'); + +% Use the mode to represent the function +y = zeros(1, length(plotvals)); +priors = zeros(length(plotvals), ncentres); +c = zeros(length(plotvals), 3); +widths = zeros(length(plotvals), ncentres); +for i = 1:length(plotvals) + [m, j] = max(mixes(i).priors); + y(i) = mixes(i).centres(j,:); + c(i,:) = mixes(i).centres'; +end +p3 = plot(plotvals, y, '*r'); +p4 = plot(plotvals, mlpfwd(net2, plotvals), 'g'); +set(p4, 'LineWidth', 2); +legend([p1 p2 p3 p4], 'data', 'function', 'MDN mode', 'MLP mean', 4); +hold off + +clc +disp('We can also plot how the mixture model parameters depend on x.') +disp('First we plot the mixture centres, then the priors and finally') +disp('the variances.') +disp(' ') +disp('Press any key to continue.') +pause +fh2 = figure; +subplot(3, 1, 1) +plot(plotvals, c) +hold on +title('Mixture centres') +legend('centre 1', 'centre 2', 'centre 3') +hold off + +priors = reshape([mixes.priors], mixes(1).ncentres, size(mixes, 2))'; +%%fh3 = figure; +subplot(3, 1, 2) +plot(plotvals, priors) +hold on +title('Mixture priors') +legend('centre 1', 'centre 2', 'centre 3') +hold off + +variances = reshape([mixes.covars], mixes(1).ncentres, size(mixes, 2))'; +%%fh4 = figure; +subplot(3, 1, 3) +plot(plotvals, variances) +hold on +title('Mixture variances') +legend('centre 1', 'centre 2', 'centre 3') +hold off + +disp('The last figure is a contour plot of the conditional probability') +disp('density generated by the Mixture Density Network. Note how it') +disp('is well matched to the regions of high data density.') +disp(' ') +disp('Press any key to continue.') +pause +% Contour plot for MDN. +i = 0:0.01:1.0; +j = 0:0.01:1.0; + +[I, J] = meshgrid(i,j); +I = I(:); +J = J(:); +li = length(i); +lj = length(j); +Z = zeros(li, lj); +for k = 1:li; + Z(:,k) = gmmprob(mixes(k), j'); +end +fh5 = figure; +% Set up levels by hand to make a good figure +v = [2 2.5 3 3.5 5:3:18]; +contour(i, j, Z, v) +hold on +title('Contour plot of conditional density') +hold off + +disp(' ') +disp('Press any key to exit.') +pause +close(fh1); +close(fh2); +%%close(fh3); +%%close(fh4); +close(fh5); +%%clear all; diff --git a/sourcecodes/bnt-master/netlab3.3/demmet1.m b/sourcecodes/bnt-master/netlab3.3/demmet1.m new file mode 100644 index 00000000..804622a4 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demmet1.m @@ -0,0 +1,103 @@ +function samples=demmet1(plot_wait) +%DEMMET1 Demonstrate Markov Chain Monte Carlo sampling on a Gaussian. +% +% Description +% The problem consists of generating data from a Gaussian in two +% dimensions using a Markov Chain Monte Carlo algorithm. The points are +% plotted one after another to show the path taken by the chain. +% +% DEMMET1(PLOTWAIT) allows the user to set the time (in a whole number +% of seconds) between the plotting of points. This is passed to PAUSE +% +% See also +% DEMHMC1, METROP, GMM, DEMPOT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin == 0 | plot_wait < 0 + plot_wait = 0; % No wait if not specified or incorrect +end +dim = 2; % Data dimension +ncentres = 1; % Number of centres in mixture model + +seed = 42; % Seed for random weight initialization. +randn('state', seed); +rand('state', seed); + +clc +disp('This demonstration illustrates the use of the Markov chain Monte Carlo') +disp('algorithm to sample from a Gaussian distribution.') +disp('The mean is at [0 0].') +disp(' ') +disp('First we set up the parameters of the mixture model we are sampling') +disp('from.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up mixture model to sample from +mix = gmm(dim, ncentres, 'spherical'); +mix.centres(1, :) = [0 0]; +x = [0 4]; % Start vector + +% Set up vector of options for hybrid Monte Carlo. + +nsamples = 150; % Number of retained samples. + +options = foptions; % Default options vector. +options(1) = 0; % Switch off diagnostics. +options(14) = nsamples; % Number of Monte Carlo samples returned. +options(18) = 0.1; + +clc +disp('Next we take 150 samples from the distribution.') +disp('Sampling starts at the point [0 4].') +disp('The new state is accepted if the threshold value is greater than') +disp('a random number between 0 and 1.') +disp(' ') +disp('Press any key to continue.') +pause + +[samples, energies] = metrop('dempot', x, options, '', mix); + +clc +disp('The plot shows the samples generated by the MCMC function in order') +disp('as an animation to show the path taken by the Markov chain.') +disp('The different colours are used to show that the first few samples') +disp('should be discarded as they lie too far from the mean.') +disp(' ') +disp('Press any key to continue.') +pause +probs = exp(-energies); +fh1 = figure; +g1end = floor(nsamples/4); + +for n = 1:nsamples + + if n < g1end + Marker = 'k.'; + p1 = plot(samples(n,1), samples(n,2), Marker, ... + 'EraseMode', 'none', 'MarkerSize', 12); + if n == 1 + axis([-3 5 -2 5]) + end + else + Marker = 'r.'; + p2 = plot(samples(n,1), samples(n,2), Marker, ... + 'EraseMode', 'none', 'MarkerSize', 12); + end + hold on + drawnow; % Force drawing immediately + pause(plot_wait); +end +lstrings = char(['Samples 1-' int2str(g1end)], ... + ['Samples ' int2str(g1end+1) '-' int2str(nsamples)]); +legend([p1 p2], lstrings, 1); + +disp(' ') +disp('Press any key to exit.') +pause +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demmlp1.m b/sourcecodes/bnt-master/netlab3.3/demmlp1.m new file mode 100644 index 00000000..4f102b73 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demmlp1.m @@ -0,0 +1,88 @@ +%DEMMLP1 Demonstrate simple regression using a multi-layer perceptron +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling X at equal intervals and then +% generating target data by computing SIN(2*PI*X) and adding Gaussian +% noise. A 2-layer network with linear outputs is trained by minimizing +% a sum-of-squares error function using the scaled conjugate gradient +% optimizer. +% +% See also +% MLP, MLPERR, MLPGRAD, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. + +ndata = 20; % Number of data points. +noise = 0.2; % Standard deviation of noise distribution. +x = [0:1/(ndata - 1):1]'; +randn('state', 1); +t = sin(2*pi*x) + noise*randn(ndata, 1); + +clc +disp('This demonstration illustrates the use of a Multi-Layer Perceptron') +disp('network for regression problems. The data is generated from a noisy') +disp('sine function.') +disp(' ') +disp('Press any key to continue.') +pause + +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 3; % Number of hidden units. +nout = 1; % Number of outputs. +alpha = 0.01; % Coefficient of weight-decay prior. + +% Create and initialize network weight vector. + +net = mlp(nin, nhidden, nout, 'linear', alpha); + +% Set up vector of options for the optimiser. + +options = zeros(1,18); +options(1) = 1; % This provides display of error values. +options(14) = 100; % Number of training cycles. + +clc +disp(['The network has ', num2str(nhidden), ' hidden units and a weight decay']) +disp(['coefficient of ', num2str(alpha), '.']) +disp(' ') +disp('After initializing the network, we train it use the scaled conjugate') +disp('gradients algorithm for 100 cycles.') +disp(' ') +disp('Press any key to continue') +pause + +% Train using scaled conjugate gradients. +[net, options] = netopt(net, options, x, t, 'scg'); + +disp(' ') +disp('Now we plot the data, underlying function, and network outputs') +disp('on a single graph to compare the results.') +disp(' ') +disp('Press any key to continue.') +pause + +% Plot the data, the original function, and the trained network function. +plotvals = [0:0.01:1]'; +y = mlpfwd(net, plotvals); +fh1 = figure; +plot(x, t, 'ob') +hold on +xlabel('Input') +ylabel('Target') +axis([0 1 -1.5 1.5]) +[fx, fy] = fplot('sin(2*pi*x)', [0 1]); +plot(fx, fy, '-r', 'LineWidth', 2) +plot(plotvals, y, '-k', 'LineWidth', 2) +legend('data', 'function', 'network'); + +disp(' ') +disp('Press any key to end.') +pause +close(fh1); +clear all; diff --git a/sourcecodes/bnt-master/netlab3.3/demmlp2.m b/sourcecodes/bnt-master/netlab3.3/demmlp2.m new file mode 100644 index 00000000..20a86cf4 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demmlp2.m @@ -0,0 +1,337 @@ +%DEMMLP2 Demonstrate simple classification using a multi-layer perceptron +% +% Description +% The problem consists of input data in two dimensions drawn from a +% mixture of three Gaussians: two of which are assigned to a single +% class. An MLP with logistic outputs trained with a quasi-Newton +% optimisation algorithm is compared with the optimal Bayesian decision +% rule. +% +% See also +% MLP, MLPFWD, NETERR, QUASINEW +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Set up some figure parameters +AxisShift = 0.05; +ClassSymbol1 = 'r.'; +ClassSymbol2 = 'y.'; +PointSize = 12; +titleSize = 10; + +% Fix the seeds +rand('state', 423); +randn('state', 423); + +clc +disp('This demonstration shows how an MLP with logistic outputs and') +disp('and cross entropy error function can be trained to model the') +disp('posterior class probabilities in a classification problem.') +disp('The results are compared with the optimal Bayes rule classifier,') +disp('which can be computed exactly as we know the form of the generating') +disp('distribution.') +disp(' ') +disp('Press any key to continue.') +pause + +fh1 = figure; +set(fh1, 'Name', 'True Data Distribution'); +whitebg(fh1, 'k'); + +% +% Generate the data +% +n=200; + +% Set up mixture model: 2d data with three centres +% Class 1 is first centre, class 2 from the other two +mix = gmm(2, 3, 'full'); +mix.priors = [0.5 0.25 0.25]; +mix.centres = [0 -0.1; 1 1; 1 -1]; +mix.covars(:,:,1) = [0.625 -0.2165; -0.2165 0.875]; +mix.covars(:,:,2) = [0.2241 -0.1368; -0.1368 0.9759]; +mix.covars(:,:,3) = [0.2375 0.1516; 0.1516 0.4125]; + +[data, label] = gmmsamp(mix, n); + +% +% Calculate some useful axis limits +% +x0 = min(data(:,1)); +x1 = max(data(:,1)); +y0 = min(data(:,2)); +y1 = max(data(:,2)); +dx = x1-x0; +dy = y1-y0; +expand = 5/100; % Add on 5 percent each way +x0 = x0 - dx*expand; +x1 = x1 + dx*expand; +y0 = y0 - dy*expand; +y1 = y1 + dy*expand; +resolution = 100; +step = dx/resolution; +xrange = [x0:step:x1]; +yrange = [y0:step:y1]; +% +% Generate the grid +% +[X Y]=meshgrid([x0:step:x1],[y0:step:y1]); +% +% Calculate the class conditional densities, the unconditional densities and +% the posterior probabilities +% +px_j = gmmactiv(mix, [X(:) Y(:)]); +px = reshape(px_j*(mix.priors)',size(X)); +post = gmmpost(mix, [X(:) Y(:)]); +p1_x = reshape(post(:, 1), size(X)); +p2_x = reshape(post(:, 2) + post(:, 3), size(X)); + +% +% Generate some pretty pictures !! +% +colormap(hot) +colorbar +subplot(1,2,1) +hold on +plot(data((label==1),1),data(label==1,2),ClassSymbol1, 'MarkerSize', PointSize) +plot(data((label>1),1),data(label>1,2),ClassSymbol2, 'MarkerSize', PointSize) +contour(xrange,yrange,p1_x,[0.5 0.5],'w-'); +axis([x0 x1 y0 y1]) +set(gca,'Box','On') +title('The Sampled Data'); +rect=get(gca,'Position'); +rect(1)=rect(1)-AxisShift; +rect(3)=rect(3)+AxisShift; +set(gca,'Position',rect) +hold off + +subplot(1,2,2) +imagesc(X(:),Y(:),px); +hold on +[cB, hB] = contour(xrange,yrange,p1_x,[0.5 0.5],'w:'); +set(hB,'LineWidth', 2); +axis([x0 x1 y0 y1]) +set(gca,'YDir','normal') +title('Probability Density p(x)') +hold off + +drawnow; +clc; +disp('The first figure shows the data sampled from a mixture of three') +disp('Gaussians, the first of which (whose centre is near the origin) is') +disp('labelled red and the other two are labelled yellow. The second plot') +disp('shows the unconditional density of the data with the optimal Bayesian') +disp('decision boundary superimposed.') +disp(' ') +disp('Press any key to continue.') +pause +fh2 = figure; +set(fh2, 'Name', 'Class-conditional Densities and Posterior Probabilities'); +whitebg(fh2, 'w'); + +subplot(2,2,1) +p1=reshape(px_j(:,1),size(X)); +imagesc(X(:),Y(:),p1); +colormap hot +colorbar +axis(axis) +set(gca,'YDir','normal') +hold on +plot(mix.centres(:,1),mix.centres(:,2),'b+','MarkerSize',8,'LineWidth',2) +title('Density p(x|red)') +hold off + +subplot(2,2,2) +p2=reshape((px_j(:,2)+px_j(:,3)),size(X)); +imagesc(X(:),Y(:),p2); +colorbar +set(gca,'YDir','normal') +hold on +plot(mix.centres(:,1),mix.centres(:,2),'b+','MarkerSize',8,'LineWidth',2) +title('Density p(x|yellow)') +hold off + +subplot(2,2,3) +imagesc(X(:),Y(:),p1_x); +set(gca,'YDir','normal') +colorbar +title('Posterior Probability p(red|x)') +hold on +plot(mix.centres(:,1),mix.centres(:,2),'b+','MarkerSize',8,'LineWidth',2) +hold off + +subplot(2,2,4) +imagesc(X(:),Y(:),p2_x); +set(gca,'YDir','normal') +colorbar +title('Posterior Probability p(yellow|x)') +hold on +plot(mix.centres(:,1),mix.centres(:,2),'b+','MarkerSize',8,'LineWidth',2) +hold off + +% Now set up and train the MLP +nhidden=6; +nout=1; +alpha = 0.2; % Weight decay +ncycles = 60; % Number of training cycles. +% Set up MLP network +net = mlp(2, nhidden, nout, 'logistic', alpha); +options = zeros(1,18); +options(1) = 1; % Print out error values +options(14) = ncycles; + +mlpstring = ['We now set up an MLP with ', num2str(nhidden), ... + ' hidden units, logistic output and cross']; +trainstring = ['entropy error function, and train it for ', ... + num2str(ncycles), ' cycles using the']; +wdstring = ['quasi-Newton optimisation algorithm with weight decay of ', ... + num2str(alpha), '.']; + +% Force out the figure before training the MLP +drawnow; +disp(' ') +disp('The second figure shows the class conditional densities and posterior') +disp('probabilities for each class. The blue crosses mark the centres of') +disp('the three Gaussians.') +disp(' ') +disp(mlpstring) +disp(trainstring) +disp(wdstring) +disp(' ') +disp('Press any key to continue.') +pause + +% Convert targets to 0-1 encoding +target=[label==1]; + +% Train using quasi-Newton. +[net] = netopt(net, options, data, target, 'quasinew'); +y = mlpfwd(net, data); +yg = mlpfwd(net, [X(:) Y(:)]); +yg = reshape(yg(:,1),size(X)); + +fh3 = figure; +set(fh3, 'Name', 'Network Output'); +whitebg(fh3, 'k') +subplot(1, 2, 1) +hold on +plot(data((label==1),1),data(label==1,2),'r.', 'MarkerSize', PointSize) +plot(data((label>1),1),data(label>1,2),'y.', 'MarkerSize', PointSize) +% Bayesian decision boundary +[cB, hB] = contour(xrange,yrange,p1_x,[0.5 0.5],'b-'); +[cN, hN] = contour(xrange,yrange,yg,[0.5 0.5],'r-'); +set(hB, 'LineWidth', 2); +set(hN, 'LineWidth', 2); +Chandles = [hB(1) hN(1)]; +legend(Chandles, 'Bayes', ... + 'Network', 3); + +axis([x0 x1 y0 y1]) +set(gca,'Box','on','XTick',[],'YTick',[]) + +title('Training Data','FontSize',titleSize); +hold off + +subplot(1, 2, 2) +imagesc(X(:),Y(:),yg); +colormap hot +colorbar +axis(axis) +set(gca,'YDir','normal','XTick',[],'YTick',[]) +title('Network Output','FontSize',titleSize) + +clc +disp('This figure shows the training data with the decision boundary') +disp('produced by the trained network and the network''s prediction of') +disp('the posterior probability of the red class.') +disp(' ') +disp('Press any key to continue.') +pause + +% +% Now generate and classify a test data set +% +[testdata testlabel] = gmmsamp(mix, n); +testlab=[testlabel==1 testlabel>1]; + +% This is the Bayesian classification +tpx_j = gmmpost(mix, testdata); +Bpost = [tpx_j(:,1), tpx_j(:,2)+tpx_j(:,3)]; +[Bcon Brate]=confmat(Bpost, [testlabel==1 testlabel>1]); + +% Compute network classification +yt = mlpfwd(net, testdata); +% Convert single output to posteriors for both classes +testpost = [yt 1-yt]; +[C trate]=confmat(testpost,[testlabel==1 testlabel>1]); + +fh4 = figure; +set(fh4, 'Name', 'Decision Boundaries'); +whitebg(fh4, 'k'); +hold on +plot(testdata((testlabel==1),1),testdata((testlabel==1),2),... + ClassSymbol1, 'MarkerSize', PointSize) +plot(testdata((testlabel>1),1),testdata((testlabel>1),2),... + ClassSymbol2, 'MarkerSize', PointSize) +% Bayesian decision boundary +[cB, hB] = contour(xrange,yrange,p1_x,[0.5 0.5],'b-'); +set(hB, 'LineWidth', 2); +% Network decision boundary +[cN, hN] = contour(xrange,yrange,yg,[0.5 0.5],'r-'); +set(hN, 'LineWidth', 2); +Chandles = [hB(1) hN(1)]; +legend(Chandles, 'Bayes decision boundary', ... + 'Network decision boundary', -1); +axis([x0 x1 y0 y1]) +title('Test Data') +set(gca,'Box','On','Xtick',[],'YTick',[]) + +clc +disp('This figure shows the test data with the decision boundary') +disp('produced by the trained network and the optimal Bayes rule.') +disp(' ') +disp('Press any key to continue.') +pause + +fh5 = figure; +set(fh5, 'Name', 'Test Set Performance'); +whitebg(fh5, 'w'); +% Bayes rule performance +subplot(1,2,1) +plotmat(Bcon,'b','k',12) +set(gca,'XTick',[0.5 1.5]) +set(gca,'YTick',[0.5 1.5]) +grid('off') +set(gca,'XTickLabel',['Red ' ; 'Yellow']) +set(gca,'YTickLabel',['Yellow' ; 'Red ']) +ylabel('True') +xlabel('Predicted') +title(['Bayes Confusion Matrix (' num2str(Brate(1)) '%)']) + +% Network performance +subplot(1,2, 2) +plotmat(C,'b','k',12) +set(gca,'XTick',[0.5 1.5]) +set(gca,'YTick',[0.5 1.5]) +grid('off') +set(gca,'XTickLabel',['Red ' ; 'Yellow']) +set(gca,'YTickLabel',['Yellow' ; 'Red ']) +ylabel('True') +xlabel('Predicted') +title(['Network Confusion Matrix (' num2str(trate(1)) '%)']) + +disp('The final figure shows the confusion matrices for the') +disp('two rules on the test set.') +disp(' ') +disp('Press any key to exit.') +pause +whitebg(fh1, 'w'); +whitebg(fh2, 'w'); +whitebg(fh3, 'w'); +whitebg(fh4, 'w'); +whitebg(fh5, 'w'); +close(fh1); close(fh2); close(fh3); +close(fh4); close(fh5); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demnlab.m b/sourcecodes/bnt-master/netlab3.3/demnlab.m new file mode 100644 index 00000000..11fa3e87 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demnlab.m @@ -0,0 +1,380 @@ +function demnlab(action); +%DEMNLAB A front-end Graphical User Interface to the demos +% +% Description +% This function will start a user interface allowing the user to select +% different demonstration functions to view. The demos are divided into +% 4 groups, with the demo being executed by selecting the desired +% option from a pop-up menu. +% +% See also +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% If run without parameters, initialise gui. +if nargin<1, + action='initialise'; +end; + +if strcmp(action,'initialise'), + + % Create figure + fig = figure( ... + 'Name', 'Netlab Demos', ... + 'NumberTitle', 'off', ... + 'Color', [0.7529 0.7529 0.7529], ... + 'Visible', 'on'); + + % Create GROUPS + % Bottom of demo buttons + group1_bot = 0.20; + group1_top = 0.75; + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'Position', [0.03 group1_bot 0.94 group1_top - group1_bot], ... + 'BackgroundColor', [0.5 0.5 0.5]); + + % Bottom of help and close buttons + group2_bot = 0.04; + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'Position', [0.03 group2_bot 0.94 0.12], ... + 'BackgroundColor', [0.5 0.5 0.5]); + + % Draw title + hLogoAxis = axes( ... + 'Units', 'normalized', ... + 'Position', [0.05 0.82 0.90 0.14], ... + 'Box', 'off', ... + 'XColor', [0 0 0], ... + 'YColor', [0 0 0], ... + 'Visible', 'on'); + + load netlogo; % load image and colour map + colormap(netcmap(1:3,:)); % change colour map: don't need many entries + image(nlogo); % draw logo + axis('image'); % ensures pixels on axis are square + axis off; % turn axes off + + % Create static text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.05 group1_top-0.1 0.90 0.08], ... + 'String', 'Select demo to run:'); + + % First row text offset + tRow1Offset = 0.14; + % Offset between text and button + TBoffset = 0.07; + % First row button offset + bRow1Offset = tRow1Offset+TBoffset; + % ONE text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.08 group1_top-tRow1Offset 0.36 0.05], ... + 'String', 'Regression'); + + popup1str(1) = {'Select Option'}; + popup1str(2) = {'Multi-Layer Perceptron'}; + popup1str(3) = {'Radial Basis Function'}; + popup1str(4) = {'Mixture Density Network'}; + % ONE popup + hPop1 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String', popup1str, ... + 'Position', [0.08 group1_top-bRow1Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup1'); + + % TWO text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.56 group1_top-tRow1Offset 0.36 0.05], ... + 'String', 'Classification'); + + popup2str(1) = popup1str(1); + popup2str(2) = {'Generalised Linear Model (2 class)'}; + popup2str(3) = {'Generalised Linear Model (3 class)'}; + popup2str(4) = {'Multi-Layer Perceptron'}; + popup2str(5) = {'K nearest neighbour'}; + % TWO popup + hPop2 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String', popup2str, ... + 'Position', [0.56 group1_top-bRow1Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup2'); + + tRow2Offset = 0.30; + bRow2Offset = tRow2Offset+TBoffset; + % THREE text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.08 group1_top - tRow2Offset 0.36 0.05], ... + 'String', 'Density Modelling and Clustering'); + + popup3str(1) = popup1str(1); + popup3str(2) = {'Gaussian Mixture (EM training)'}; + popup3str(3) = {'Gaussian Mixture (spherical)'}; + popup3str(4) = {'Gaussian Mixture (diagonal)'}; + popup3str(5) = {'Gaussian Mixture (full)'}; + popup3str(6) = {'Neuroscale'}; + popup3str(7) = {'GTM (EM training)'}; + popup3str(8) = {'GTM (visualisation)'}; + popup3str(9) = {'K-means clustering'}; + popup3str(10) = {'Self-Organising Map'}; + % TWO popup + % THREE popup + hPop3 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String', popup3str, ... + 'Position', [0.08 group1_top - bRow2Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup3'); + + % FOUR text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.56 group1_top - tRow2Offset 0.36 0.05], ... + 'String', 'Bayesian Methods'); + + popup4str(1) = popup1str(1); + popup4str(2) = {'Sampling the MLP Prior'}; + popup4str(3) = {'Evidence Approximation for MLP'}; + popup4str(4) = {'Evidence Approximation for RBF'}; + popup4str(5) = {'Evidence Approximation in Classification'}; + popup4str(6) = {'ARD for MLP'}; + popup4str(7) = {'Sampling the GP Prior'}; + popup4str(8) = {'GPs for Regression'}; + popup4str(9) = {'ARD for GP'}; + % FOUR popup + hPop4 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String', popup4str, ... + 'Position', [0.56 group1_top - bRow2Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup4'); + + + tRow3Offset = 0.45; + bRow3Offset = tRow3Offset+TBoffset; + % FIVE text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.08 group1_top - tRow3Offset 0.36 0.05], ... + 'String', 'Optimisation and Visualisation'); + + popup5str(1) = popup1str(1); + popup5str(2) = {'Algorithm Comparison'}; + popup5str(3) = {'On-line Gradient Descent'}; + popup5str(4) = {'Hinton Diagrams'}; + % FIVE popup + hPop5 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String',popup5str, ... + 'Position', [0.08 group1_top - bRow3Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup5'); + + % SIX text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Position', [0.56 group1_top - tRow3Offset 0.36 0.05], ... + 'String', 'Sampling'); + + popup6str(1) = popup1str(1); + popup6str(2) = {'Sampling a Gaussian'}; + popup6str(3) = {'MCMC sampling (Metropolis)'}; + popup6str(4) = {'Hybrid MC (Gaussian mixture)'}; + popup6str(5) = {'Hybrid MC for MLP I'}; + popup6str(6) = {'Hybrid MC for MLP II'}; + % SIX popup + hPop6 = uicontrol(fig, ... + 'Style','popup', ... + 'Units','normalized', ... + 'String', popup6str, ... + 'Position', [0.56 group1_top - bRow3Offset 0.36 0.08], ... + 'BackgroundColor', [0.7 0.7 0.7], ... + 'Callback', 'demnlab popup6'); + + + % Create HELP button + uicontrol(fig, ... + 'Units', 'normalized', ... + 'Position' , [0.05 group2_bot+0.02 0.40 0.08], ... + 'String', 'Help', ... + 'Callback', 'demnlab help'); + + % Create CLOSE button + uicontrol(fig, ... + 'Units', 'normalized', ... + 'Position' , [0.55 group2_bot+0.02 0.40 0.08], ... + 'String', 'Close', ... + 'Callback', 'close(gcf)'); + + hndlList=[fig hPop1 hPop2 hPop3 hPop4 hPop5 hPop6]; + set(fig, 'UserData', hndlList); + set(fig, 'HandleVisibility', 'callback'); + +elseif strcmp(action, 'popup1'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(2); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demmlp1; + case 3 + demrbf1; + case 4 + demmdn1; + end; + +elseif strcmp(action,'popup2'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(3); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demglm1; + case 3 + demglm2; + case 4 + demmlp2; + case 5 + demknn1; + end + +elseif strcmp(action,'popup3'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(4); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demgmm1; + case 3 + demgmm2; + case 4 + demgmm3; + case 5 + demgmm4; + case 6 + demns1; + case 7 + demgtm1; + case 8 + demgtm2; + case 9 + demkmn1; + case 10 + demsom1; + end + +elseif strcmp(action,'popup4'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(5); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demprior; + case 3 + demev1; + case 4 + demev3; + case 5 + demev2; + case 6 + demard; + case 7 + demprgp; + case 8 + demgp; + case 9 + demgpard; + end + +elseif strcmp(action,'popup5'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(6); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demopt1; + case 3 + demolgd1; + case 4 + demhint; + end + + +elseif strcmp(action,'popup6'), + + hndlList=get(gcf,'UserData'); + hPop = hndlList(7); + + selected = get(hPop, 'Val'); + set(hPop, 'Val', [1]); + + switch selected + case 2 + demgauss; + case 3 + demmet1; + case 4 + demhmc1; + case 5 + demhmc2; + case 6 + demhmc3; + end + +elseif strcmp(action, 'help'), + + helpStr = {'To run a demo, press the appropriate button.'; ... + 'Instructions and information will appear in the Matlab';... + 'command window.'}; + + hHelpDlg = helpdlg(helpStr, 'Netlab Demo Help'); + +end; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demns1.m b/sourcecodes/bnt-master/netlab3.3/demns1.m new file mode 100644 index 00000000..029e1b48 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demns1.m @@ -0,0 +1,114 @@ +%DEMNS1 Demonstrate Neuroscale for visualisation. +% +% Description +% This script demonstrates the use of the Neuroscale algorithm for +% topographic projection and visualisation. A data sample is generated +% from a mixture of two Gaussians in 4d space, and an RBF is trained +% with the stress error function to project the data into 2d. The +% training data and a test sample are both plotted in this projection. +% +% See also +% RBF, RBFTRAIN, RBFPRIOR +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Generate the data +% Fix seeds for reproducible results +rand('state', 420); +randn('state', 420); + +input_dim = 4; +output_dim = 2; +mix = gmm(input_dim, 2, 'spherical'); +mix.centres = [1 1 1 1; 0 0 0 0]; +mix.priors = [0.5 0.5]; +mix.covars = [0.1 0.1]; + +ndata = 60; +[data, labels] = gmmsamp(mix, ndata); + +clc +disp('This demonstration illustrates the use of the Neuroscale model') +disp('to perform a topographic projection of data. We begin by generating') +disp('60 data points from a mixture of two Gaussians in 4 dimensional space.') +disp(' ') +disp('Press any key to continue') +pause + +ncentres = 10; +net = rbf(input_dim, ncentres, output_dim, 'tps', 'neuroscale'); +dstring = ['the Sammon mapping. The model has ', num2str(ncentres), ... + ' centres, two outputs, and uses']; +clc +disp('The Neuroscale model is an RBF with a Stress error measure as used in') +disp(dstring) +disp('thin plate spline basis functions.') +disp(' ') +disp('It is trained using the shadow targets algorithm for at most 60 iterations.') +disp(' ') +disp('Press any key to continue') +pause + +% First row controls shadow targets, second row controls rbfsetbf +options(1, :) = foptions; +options(2, :) = foptions; +options(1, 1) = 1; +options(1, 2) = 1e-2; +options(1, 3) = 1e-2; +options(1, 6) = 1; % Switch on PCA initialisation +options(1, 14) = 60; +options(2, 1) = -1; % Switch off all warnings +options(2, 5) = 1; +options(2, 14) = 10; +net2 = rbftrain(net, options, data); + +disp(' ') +disp('After training the model, we project the training data by a normal') +disp('forward propagation through the RBF network. Because there are two') +disp('outputs, the results can be plotted and visualised.') +disp(' ') +disp('Press any key to continue') +pause + +% Plot the result +y = rbffwd(net2, data); +ClassSymbol1 = 'r.'; +ClassSymbol2 = 'b.'; +PointSize = 12; +fh1 = figure; +hold on; +plot(y((labels==1),1),y(labels==1,2),ClassSymbol1, 'MarkerSize', PointSize) +plot(y((labels>1),1),y(labels>1,2),ClassSymbol2, 'MarkerSize', PointSize) + +disp(' ') +disp('In this plot, the red dots denote the first class and the blue') +disp('dots the second class.') +disp(' ') +disp('Press any key to continue.') +disp(' ') +pause + +disp('We now generate a further 100 data points from the original distribution') +disp('and plot their projection using star symbols. Note that a Sammon') +disp('mapping cannot be used to generalise to new data in this fashion.') + +[test_data, test_labels] = gmmsamp(mix, 100); +ytest = rbffwd(net2, test_data); +ClassSymbol1 = 'ro'; +ClassSymbol2 = 'bo'; +% Circles are rather large symbols +PointSize = 6; +hold on +plot(ytest((test_labels==1),1),ytest(test_labels==1,2), ... + ClassSymbol1, 'MarkerSize', PointSize) +plot(ytest((test_labels>1),1),ytest(test_labels>1,2),... + ClassSymbol2, 'MarkerSize', PointSize) +hold on +legend('Class 1', 'Class 2', 'Test Class 1', 'Test Class 2') +disp('Press any key to exit.') +pause + +close(fh1); +clear all; + diff --git a/sourcecodes/bnt-master/netlab3.3/demolgd1.m b/sourcecodes/bnt-master/netlab3.3/demolgd1.m new file mode 100644 index 00000000..fb18f760 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demolgd1.m @@ -0,0 +1,115 @@ +%DEMOLGD1 Demonstrate simple MLP optimisation with on-line gradient descent +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling X at equal intervals and then +% generating target data by computing SIN(2*PI*X) and adding Gaussian +% noise. A 2-layer network with linear outputs is trained by minimizing +% a sum-of-squares error function using on-line gradient descent. +% +% See also +% DEMMLP1, OLGD +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. + +ndata = 20; % Number of data points. +noise = 0.2; % Standard deviation of noise distribution. +x = [0:1/(ndata - 1):1]'; +randn('state', 42); +rand('state', 42); +t = sin(2*pi*x) + noise*randn(ndata, 1); + +clc +disp('This demonstration illustrates the use of the on-line gradient') +disp('descent algorithm to train a Multi-Layer Perceptron network for') +disp('regression problems. It is intended to illustrate the drawbacks') +disp('of this algorithm compared to more powerful non-linear optimisation') +disp('algorithms, such as conjugate gradients.') +disp(' ') +disp('First we generate the data from a noisy sine function and construct') +disp('the network.') +disp(' ') +disp('Press any key to continue.') +pause +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 3; % Number of hidden units. +nout = 1; % Number of outputs. +alpha = 0.01; % Coefficient of weight-decay prior. + +% Create and initialize network weight vector. +net = mlp(nin, nhidden, nout, 'linear'); +% Initialise weights reasonably close to 0 +net = mlpinit(net, 10); + +% Set up vector of options for the optimiser. +options = foptions; +options(1) = 1; % This provides display of error values. +options(14) = 20; % Number of training cycles. +options(18) = 0.1; % Learning rate +%options(17) = 0.4; % Momentum +options(17) = 0.4; % Momentum +options(5) = 1; % Do randomise pattern order +clc +disp('Then we set the options for the training algorithm.') +disp(['In the first phase of training, which lasts for ',... + num2str(options(14)), ' cycles,']) +disp(['the learning rate is ', num2str(options(18)), ... + ' and the momentum is ', num2str(options(17)), '.']) +disp('The error values are displayed at the end of each pass through the') +disp('entire pattern set.') +disp(' ') +disp('Press any key to continue.') +pause + +% Train using online gradient descent +[net, options] = olgd(net, options, x, t); + +% Now allow learning rate to decay and remove momentum +options(2) = 0; +options(3) = 0; +options(17) = 0.4; % Turn off momentum +options(5) = 1; % Randomise pattern order +options(6) = 1; % Set learning rate decay on +options(14) = 200; +options(18) = 0.1; % Initial learning rate + +disp(['In the second phase of training, which lasts for up to ',... + num2str(options(14)), ' cycles,']) +disp(['the learning rate starts at ', num2str(options(18)), ... + ', decaying at 1/t and the momentum is ', num2str(options(17)), '.']) +disp(' ') +disp('Press any key to continue.') +pause +[net, options] = olgd(net, options, x, t); + +clc +disp('Now we plot the data, underlying function, and network outputs') +disp('on a single graph to compare the results.') +disp(' ') +disp('Press any key to continue.') +pause + +% Plot the data, the original function, and the trained network function. +plotvals = [0:0.01:1]'; +y = mlpfwd(net, plotvals); +fh1 = figure; +plot(x, t, 'ob') +hold on +axis([0 1 -1.5 1.5]) +fplot('sin(2*pi*x)', [0 1], '--g') +plot(plotvals, y, '-r') +legend('data', 'function', 'network'); +hold off + +disp('Note the very poor fit to the data: this should be compared with') +disp('the results obtained in demmlp1.') +disp(' ') +disp('Press any key to exit.') +pause +close(fh1); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demopt1.m b/sourcecodes/bnt-master/netlab3.3/demopt1.m new file mode 100644 index 00000000..31b4a421 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demopt1.m @@ -0,0 +1,170 @@ +function demopt1(xinit) +%DEMOPT1 Demonstrate different optimisers on Rosenbrock's function. +% +% Description +% The four general optimisers (quasi-Newton, conjugate gradients, +% scaled conjugate gradients, and gradient descent) are applied to the +% minimisation of Rosenbrock's well known `banana' function. Each +% optimiser is run for at most 100 cycles, and a stopping criterion of +% 1.0e-4 is used for both position and function value. At the end, the +% trajectory of each algorithm is shown on a contour plot of the +% function. +% +% DEMOPT1(XINIT) allows the user to specify a row vector with two +% columns as the starting point. The default is the point [-1 1]. Note +% that the contour plot has an x range of [-1.5, 1.5] and a y range of +% [-0.5, 2.1], so it is best to choose a starting point in the same +% region. +% +% See also +% CONJGRAD, GRADDESC, QUASINEW, SCG, ROSEN, ROSEGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Initialise start point for search +if nargin < 1 | size(xinit) ~= [1 2] + xinit = [-1 1]; % Traditional start point +end + +% Find out if flops is available (i.e. pre-version 6 Matlab) +v = version; +if (str2num(strtok(v, '.')) >= 6) + flops_works = logical(0); +else + flops_works = logical(1); +end + +% Set up options +options = foptions; % Standard options +options(1) = -1; % Turn off printing completely +options(3) = 1e-8; % Tolerance in value of function +options(14) = 100; % Max. 100 iterations of algorithm + +clc +disp('This demonstration compares the performance of four generic') +disp('optimisation routines when finding the minimum of Rosenbrock''s') +disp('function y = 100*(x2-x1^2)^2 + (1-x1)^2.') +disp(' ') +disp('The global minimum of this function is at [1 1].') +disp(['Each algorithm starts at the point [' num2str(xinit(1))... + ' ' num2str(xinit(2)) '].']) +disp(' ') +disp('Press any key to continue.') +pause + +% Generate a contour plot of the function +a = -1.5:.02:1.5; +b = -0.5:.02:2.1; +[A, B] = meshgrid(a, b); +Z = rosen([A(:), B(:)]); +Z = reshape(Z, length(b), length(a)); +l = -1:6; +v = 2.^l; +fh1 = figure; +contour(a, b, Z, v) +title('Contour plot of Rosenbrock''s function') +hold on + +clc +disp('We now use quasi-Newton, conjugate gradient, scaled conjugate') +disp('gradient, and gradient descent with line search algorithms') +disp('to find a local minimum of this function. Each algorithm is stopped') +disp('when 100 cycles have elapsed, or if the change in function value') +disp('is less than 1.0e-8 or the change in the input vector is less than') +disp('1.0e-4 in magnitude.') +disp(' ') +disp('Press any key to continue.') +pause + +clc +x = xinit; +flops(0) +[x, options, errlog, pointlog] = quasinew('rosen', x, options, 'rosegrad'); +fprintf(1, 'For quasi-Newton method:\n') +fprintf(1, 'Final point is (%f, %f), value is %f\n', x(1), x(2), options(8)) +fprintf(1, 'Number of function evaluations is %d\n', options(10)) +fprintf(1, 'Number of gradient evaluations is %d\n', options(11)) +if flops_works + opt_flops = flops; + fprintf(1, 'Number of floating point operations is %d\n', opt_flops) +end +fprintf(1, 'Number of cycles is %d\n', size(pointlog, 1) - 1); +disp(' ') + +x = xinit; +flops(0) +[x, options, errlog2, pointlog2] = conjgrad('rosen', x, options, 'rosegrad'); +fprintf(1, 'For conjugate gradient method:\n') +fprintf(1, 'Final point is (%f, %f), value is %f\n', x(1), x(2), options(8)) +fprintf(1, 'Number of function evaluations is %d\n', options(10)) +fprintf(1, 'Number of gradient evaluations is %d\n', options(11)) +if flops_works + opt_flops = flops; + fprintf(1, 'Number of floating point operations is %d\n', ... + opt_flops) +end +fprintf(1, 'Number of cycles is %d\n', size(pointlog2, 1) - 1); +disp(' ') + +x = xinit; +flops(0) +[x, options, errlog3, pointlog3] = scg('rosen', x, options, 'rosegrad'); +fprintf(1, 'For scaled conjugate gradient method:\n') +fprintf(1, 'Final point is (%f, %f), value is %f\n', x(1), x(2), options(8)) +fprintf(1, 'Number of function evaluations is %d\n', options(10)) +fprintf(1, 'Number of gradient evaluations is %d\n', options(11)) +if flops_works + opt_flops = flops; + fprintf(1, 'Number of floating point operations is %d\n', opt_flops) +end +fprintf(1, 'Number of cycles is %d\n', size(pointlog3, 1) - 1); +disp(' ') + +x = xinit; +options(7) = 1; % Line minimisation used +flops(0) +[x, options, errlog4, pointlog4] = graddesc('rosen', x, options, 'rosegrad'); +fprintf(1, 'For gradient descent method:\n') +fprintf(1, 'Final point is (%f, %f), value is %f\n', x(1), x(2), options(8)) +fprintf(1, 'Number of function evaluations is %d\n', options(10)) +fprintf(1, 'Number of gradient evaluations is %d\n', options(11)) +if flops_works + opt_flops = flops; + fprintf(1, 'Number of floating point operations is %d\n', opt_flops) +end +fprintf(1, 'Number of cycles is %d\n', size(pointlog4, 1) - 1); +disp(' ') +disp('Note that gradient descent does not reach a local minimum in') +disp('100 cycles.') +disp(' ') +disp('On this problem, where the function is cheap to evaluate, the') +disp('computational effort is dominated by the algorithm overhead.') +disp('However on more complex optimisation problems (such as those') +disp('involving neural networks), computational effort is dominated by') +disp('the number of function and gradient evaluations. Counting these,') +disp('we can rank the algorithms: quasi-Newton (the best), conjugate') +disp('gradient, scaled conjugate gradient, gradient descent (the worst)') +disp(' ') +disp('Press any key to continue.') +pause +clc +disp('We now plot the trajectory of search points for each algorithm') +disp('superimposed on the contour plot.') +disp(' ') +disp('Press any key to continue.') +pause +plot(pointlog4(:,1), pointlog4(:,2), 'bd', 'MarkerSize', 6) +plot(pointlog3(:,1), pointlog3(:,2), 'mx', 'MarkerSize', 6, 'LineWidth', 2) +plot(pointlog(:,1), pointlog(:,2), 'k.', 'MarkerSize', 18) +plot(pointlog2(:,1), pointlog2(:,2), 'g+', 'MarkerSize', 6, 'LineWidth', 2) +lh = legend( 'Gradient Descent', 'Scaled Conjugate Gradients', ... + 'Quasi Newton', 'Conjugate Gradients'); + +hold off + +clc +disp('Press any key to end.') +pause +close(fh1); +clear all; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/dempot.m b/sourcecodes/bnt-master/netlab3.3/dempot.m new file mode 100644 index 00000000..87301bce --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/dempot.m @@ -0,0 +1,17 @@ +function e = dempot(x, mix) +%DEMPOT Computes the negative log likelihood for a mixture model. +% +% Description +% This function computes the negative log of the unconditional data +% density P(X) for a Gaussian mixture model. The data structure MIX +% defines the mixture model, while the matrix X contains the data +% vectors. +% +% See also +% DEMGPOT, DEMHMC1, DEMMET1 +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Computes the potential (negative log likelihood) +e = -log(gmmprob(mix, x)); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demprgp.m b/sourcecodes/bnt-master/netlab3.3/demprgp.m new file mode 100644 index 00000000..3cc7b8f5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demprgp.m @@ -0,0 +1,542 @@ +function demprgp(action); +%DEMPRGP Demonstrate sampling from a Gaussian Process prior. +% +% Description +% This function plots the functions represented by a Gaussian Process +% model. The hyperparameter values can be adjusted on a linear scale +% using the sliders (though the exponential of the parameters is used +% in the covariance function), or by typing values into the text boxes +% and pressing the return key. Both types of covariance function are +% supported. An extra function specific parameter is needed for the +% rational quadratic function. +% +% See also +% GP +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin<1, + action='initialize'; +end; + +if strcmp(action,'initialize') + + % Bounds on hyperparameter values + biasminval = -3.0; biasmaxval = 3.0; + noiseminval = -20; noisemaxval = -2; + fparminval = 0.0; fparmaxval = 2.0; + inwminval = 0; inwmaxval = 8; + % Initial hyperparameter values + bias = (biasminval+biasmaxval)/2; + noise = (noiseminval+noisemaxval)/2; + inweights = (inwminval+inwmaxval)/2; + fpar = (fparminval+fparmaxval)/2; + fpar2 = (fparminval+fparmaxval)/2; + + gptype = 'sqexp'; + + % Create FIGURE + fig=figure( ... + 'Name','Sampling from a Gaussian Process prior', ... + 'Position', [50 50 480 380], ... + 'NumberTitle','off', ... + 'Color', [0.8 0.8 0.8], ... + 'Visible','on'); + + % List box for covariance function type + nettype_box = uicontrol(fig, ... + 'Style', 'listbox', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'center', ... + 'Position', [0.52 0.77 0.40 0.12], ... + 'String', 'Squared Exponential|Rational Quadratic', ... + 'Max', 1, 'Min', 0, ... % Only allow one selection + 'Value', 1, ... % Initial value is squared exponential + 'BackgroundColor',[0.60 0.60 0.60],... + 'CallBack', 'demprgp GPtype'); + + % Title for list box + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'Position', [0.52 0.89 0.40 0.05], ... + 'String', 'Covariance Function Type', ... + 'BackgroundColor', get(fig, 'Color'), ... + 'HorizontalAlignment', 'center'); + + % Frames to enclose sliders + bottom_row = 0.04; + slider_frame_height = 0.15; + biasframe = uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'String', 'bias', ... + 'HorizontalAlignment', 'left', ... + 'Position', [0.05 bottom_row 0.35 slider_frame_height]); + + bpos = get(biasframe, 'Position'); + noise_frame_bottom = bpos(2) + bpos(4) + 0.02; + noiseframe = uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 noise_frame_bottom 0.35 slider_frame_height]); + + npos = get(noiseframe, 'Position'); + inw_frame_bottom = npos(2) + npos(4) + 0.02; + inwframe = uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 inw_frame_bottom 0.35 slider_frame_height]); + + inwpos = get(inwframe, 'Position'); + fpar_frame_bottom = inwpos(2) + inwpos(4) + 0.02; + % This frame sometimes has multiple parameters + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 fpar_frame_bottom 0.35 2*slider_frame_height]); + + % Frame text + slider_text_height = 0.05; + slider_text_voffset = 0.08; + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 bottom_row+slider_text_voffset ... + 0.06 slider_text_height], ... + 'String', 'bias'); + + % Frame text + noiseframe = uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 noise_frame_bottom+slider_text_voffset ... + 0.08 slider_text_height], ... + 'String', 'noise'); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 inw_frame_bottom+slider_text_voffset ... + 0.14 slider_text_height], ... + 'String', 'inweights'); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 fpar_frame_bottom+slider_frame_height+ ... + slider_text_voffset 0.06 slider_text_height], ... + 'String', 'fpar'); + + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 fpar_frame_bottom+slider_text_voffset ... + 0.06 slider_text_height], ... + 'String', 'fpar2', ... + 'Tag', 'fpar2text', ... + 'Enable', 'off'); + + % Slider + slider_left = 0.07; + slider_width = 0.31; + slider_frame_voffset = 0.02; + biasslide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', bias, ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [slider_left bottom_row+slider_frame_voffset ... + slider_width 0.05], ... + 'Min', biasminval, 'Max', biasmaxval, ... + 'Callback', 'demprgp update'); + + % Slider + noiseslide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', noise, ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [slider_left noise_frame_bottom+slider_frame_voffset ... + slider_width 0.05], ... + 'Min', noiseminval, 'Max', noisemaxval, ... + 'Callback', 'demprgp update'); + + % Slider + inweightsslide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', inweights, ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [slider_left inw_frame_bottom+slider_frame_voffset ... + slider_width 0.05], ... + 'Min', inwminval, 'Max', inwmaxval, ... + 'Callback', 'demprgp update'); + + % Slider + fparslide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', fpar, ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [slider_left fpar_frame_bottom+slider_frame_height+ ... + slider_frame_voffset slider_width 0.05], ... + 'Min', fparminval, 'Max', fparmaxval, ... + 'Callback', 'demprgp update'); + + fpar2slide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', fpar2, ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [slider_left fpar_frame_bottom+slider_frame_voffset ... + slider_width 0.05], ... + 'Min', fparminval, 'Max', fparmaxval, ... + 'Callback', 'demprgp update', ... + 'Tag', 'fpar2slider', ... + 'Enable', 'off'); + + % Text display of hyper-parameter values + + format = '%8f'; + + hp_left = 0.20; + hp_width = 0.17; + biasval = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [hp_left bottom_row+slider_text_voffset ... + hp_width slider_text_height], ... + 'String', sprintf(format, bias), ... + 'Callback', 'demprgp newval'); + + noiseval = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [hp_left noise_frame_bottom+slider_text_voffset ... + hp_width slider_text_height], ... + 'String', sprintf(format, noise), ... + 'Callback', 'demprgp newval'); + + inweightsval = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [hp_left inw_frame_bottom+slider_text_voffset ... + hp_width slider_text_height], ... + 'String', sprintf(format, inweights), ... + 'Callback', 'demprgp newval'); + + fparval = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [hp_left fpar_frame_bottom+slider_frame_height+ ... + slider_text_voffset hp_width slider_text_height], ... + 'String', sprintf(format, fpar), ... + 'Callback', 'demprgp newval'); + + fpar2val = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [hp_left fpar_frame_bottom+slider_text_voffset ... + hp_width slider_text_height], ... + 'String', sprintf(format, fpar), ... + 'Callback', 'demprgp newval', ... + 'Enable', 'off', ... + 'Tag', 'fpar2val'); + + + % The graph box + haxes = axes('Position', [0.5 0.28 0.45 0.45], ... + 'Units', 'normalized', ... + 'Visible', 'on'); + + % The SAMPLE button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.5 bottom_row 0.13 0.1], ... + 'String','Sample', ... + 'Callback','demprgp replot'); + + % The CLOSE button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.82 bottom_row 0.13 0.1], ... + 'String','Close', ... + 'Callback','close(gcf)'); + + % The HELP button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.66 bottom_row 0.13 0.1], ... + 'String','Help', ... + 'Callback','demprgp help'); + + % Save handles to objects + + hndlList=[fig biasslide noiseslide inweightsslide fparslide ... + biasval noiseval inweightsval ... + fparval haxes nettype_box]; + set(fig, 'UserData', hndlList); + + demprgp('replot') + + +elseif strcmp(action, 'update'), + + % Update when a slider is moved. + + hndlList = get(gcf, 'UserData'); + biasslide = hndlList(2); + noiseslide = hndlList(3); + inweightsslide = hndlList(4); + fparslide = hndlList(5); + biasval = hndlList(6); + noiseval = hndlList(7); + inweightsval = hndlList(8); + fparval = hndlList(9); + haxes = hndlList(10); + nettype_box = hndlList(11); + + + bias = get(biasslide, 'Value'); + noise = get(noiseslide, 'Value'); + inweights = get(inweightsslide, 'Value'); + fpar = get(fparslide, 'Value'); + fpar2 = get(findobj('Tag', 'fpar2slider'), 'Value'); + + format = '%8f'; + set(biasval, 'String', sprintf(format, bias)); + set(noiseval, 'String', sprintf(format, noise)); + set(inweightsval, 'String', sprintf(format, inweights)); + set(fparval, 'String', sprintf(format, fpar)); + set(findobj('Tag', 'fpar2val'), 'String', ... + sprintf(format, fpar2)); + + demprgp('replot'); + +elseif strcmp(action, 'newval'), + + % Update when text is changed. + + hndlList = get(gcf, 'UserData'); + biasslide = hndlList(2); + noiseslide = hndlList(3); + inweightsslide = hndlList(4); + fparslide = hndlList(5); + biasval = hndlList(6); + noiseval = hndlList(7); + inweightsval = hndlList(8); + fparval = hndlList(9); + haxes = hndlList(10); + + bias = sscanf(get(biasval, 'String'), '%f'); + noise = sscanf(get(noiseval, 'String'), '%f'); + inweights = sscanf(get(inweightsval, 'String'), '%f'); + fpar = sscanf(get(fparval, 'String'), '%f'); + fpar2 = sscanf(get(findobj('Tag', 'fpar2val'), 'String'), '%f'); + + set(biasslide, 'Value', bias); + set(noiseslide, 'Value', noise); + set(inweightsslide, 'Value', inweights); + set(fparslide, 'Value', fpar); + set(findobj('Tag', 'fpar2slider'), 'Value', fpar2); + + demprgp('replot'); + +elseif strcmp(action, 'GPtype') + hndlList = get(gcf, 'UserData'); + nettype_box = hndlList(11); + gptval = get(nettype_box, 'Value'); + if gptval == 1 + % Squared exponential, so turn off fpar2 + set(findobj('Tag', 'fpar2text'), 'Enable', 'off'); + set(findobj('Tag', 'fpar2slider'), 'Enable', 'off'); + set(findobj('Tag', 'fpar2val'), 'Enable', 'off'); + else + % Rational quadratic, so turn on fpar2 + set(findobj('Tag', 'fpar2text'), 'Enable', 'on'); + set(findobj('Tag', 'fpar2slider'), 'Enable', 'on'); + set(findobj('Tag', 'fpar2val'), 'Enable', 'on'); + end + demprgp('replot'); + +elseif strcmp(action, 'replot'), + + % Re-sample from the prior and plot graphs. + + oldFigNumber=watchon; + + hndlList = get(gcf, 'UserData'); + biasslide = hndlList(2); + noiseslide = hndlList(3); + inweightsslide = hndlList(4); + fparslide = hndlList(5); + haxes = hndlList(10); + nettype_box = hndlList(11); + gptval = get(nettype_box, 'Value'); + if gptval == 1 + gptype = 'sqexp'; + else + gptype = 'ratquad'; + end + + bias = get(biasslide, 'Value'); + noise = get(noiseslide, 'Value'); + inweights = get(inweightsslide, 'Value'); + fpar = get(fparslide, 'Value'); + + + axes(haxes); + cla + set(gca, ... + 'Box', 'on', ... + 'Color', [0 0 0], ... + 'XColor', [0 0 0], ... + 'YColor', [0 0 0], ... + 'FontSize', 14); + ymin = -10; + ymax = 10; + axis([-1 1 ymin ymax]); + set(gca,'DefaultLineLineWidth', 2); + + xvals = (-1:0.01:1)'; + nsample = 10; % Number of samples from prior. + hold on + plot([-1 0; 1 0], [0 ymin; 0 ymax], 'b--'); + net = gp(1, gptype); + net.bias = bias; + net.noise = noise; + net.inweights = inweights; + if strcmp(gptype, 'sqexp') + net.fpar = fpar; + else + fpar2 = get(findobj('Tag', 'fpar2slider'), 'Value'); + net.fpar = [fpar fpar2]; + end + cn = gpcovar(net, xvals); + cninv = inv(cn); + cnchol = chol(cn); + set(gca, 'DefaultLineLineWidth', 1); + for n = 1:nsample + y = (cnchol') * randn(size(xvals)); + plot(xvals, y, 'y'); + end + + watchoff(oldFigNumber); + +elseif strcmp(action, 'help'), + + % Provide help to user. + + oldFigNumber=watchon; + + helpfig = figure('Position', [100 100 480 400], ... + 'Name', 'Help', ... + 'NumberTitle', 'off', ... + 'Color', [0.8 0.8 0.8], ... + 'Visible','on'); + + % The HELP TITLE BAR frame + uicontrol(helpfig, ... + 'Style','frame', ... + 'Units','normalized', ... + 'HorizontalAlignment', 'center', ... + 'Position', [0.05 0.82 0.9 0.1], ... + 'BackgroundColor',[0.60 0.60 0.60]); + + % The HELP TITLE BAR text + uicontrol(helpfig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.26 0.85 0.6 0.05], ... + 'HorizontalAlignment', 'left', ... + 'String', 'Help: Sampling from a Gaussian Process Prior'); + + helpstr1 = strcat(... + 'This demonstration shows the effects of sampling from a Gaussian', ... + ' process prior. The parameters bias, noise, inweights and fpar', ... + ' control the corresponding terms in the covariance function of the',... + ' Gaussian process. Their values can be adjusted on a linear scale',... + ' using the sliders, or by typing values into the text boxes and',... + ' pressing the return key. After setting these values, press the',... + ' ''Sample'' button to see a new sample from the prior.'); + + helpstr2 = strcat(... + 'Observe how inweights controls horizontal length-scale of the',... + ' variation in the functions, noise controls the roughness of the',... + ' functions, and the bias controls the size of the', ... + ' vertical offset of the signal.'); + helpstr3 = strcat(... + 'There are two types of covariance function supported by', ... + ' Netlab which can be selected using the ''Covariance Function', ... + ' Type'' menu.'); + helpstr4 = strcat(... + 'The squared exponential has a single fpar which', ... + ' controls the vertical scale of the process.'); + helpstr5 = strcat(... + 'The rational quadratic has two fpar values. The first is', ... + ' is a scale parameter inside the rational function like the',... + ' first fpar for the squared exponential covariance, while the', ... + ' second gives the exponent of the rational function (i.e. the',... + ' rate of decay of the covariance function.'); + % Set up cell array with help strings + hstr(1) = {helpstr1}; + hstr(2) = {''}; + hstr(3) = {helpstr2}; + hstr(4) = {''}; + hstr(5) = {helpstr3}; + hstr(6) = {''}; + hstr(7) = {helpstr4}; + hstr(8) = {''}; + hstr(9) = {helpstr5}; + + % The HELP text + helpui = uicontrol(helpfig, ... + 'Style', 'Text', ... + 'Units', 'normalized', ... + 'ForegroundColor', [0 0 0], ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [1 1 1], ... + 'Min', 0, ... + 'Max', 2, ... + 'Position', [0.05 0.2 0.9 0.57]); + [hstrw, newpos] = textwrap(helpui, hstr); + set(helpui, 'String', hstrw, 'Position', [0.05, 0.2, 0.9 newpos(4)]); + + % The CLOSE button + uicontrol(helpfig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.4 0.05 0.2 0.1], ... + 'String','Close', ... + 'Callback','close(gcf)'); + + watchoff(oldFigNumber); + +end; + diff --git a/sourcecodes/bnt-master/netlab3.3/demprior.m b/sourcecodes/bnt-master/netlab3.3/demprior.m new file mode 100644 index 00000000..4ad975a9 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demprior.m @@ -0,0 +1,406 @@ +function demprior(action); +%DEMPRIOR Demonstrate sampling from a multi-parameter Gaussian prior. +% +% Description +% This function plots the functions represented by a multi-layer +% perceptron network when the weights are set to values drawn from a +% Gaussian prior distribution. The parameters AW1, AB1 AW2 and AB2 +% control the inverse variances of the first-layer weights, the hidden +% unit biases, the second-layer weights and the output unit biases +% respectively. Their values can be adjusted on a logarithmic scale +% using the sliders, or by typing values into the text boxes and +% pressing the return key. +% +% See also +% MLP +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin<1, + action='initialize'; +end; + +if strcmp(action,'initialize') + + aw1 = 0.01; + ab1 = 0.1; + aw2 = 1.0; + ab2 = 1.0; + + % Create FIGURE + fig=figure( ... + 'Name','Sampling from a Gaussian prior', ... + 'Position', [50 50 480 380], ... + 'NumberTitle','off', ... + 'Color', [0.8 0.8 0.8], ... + 'Visible','on'); + + % The TITLE BAR frame + uicontrol(fig, ... + 'Style','frame', ... + 'Units','normalized', ... + 'HorizontalAlignment', 'center', ... + 'Position', [0.5 0.82 0.45 0.1], ... + 'BackgroundColor',[0.60 0.60 0.60]); + + % The TITLE BAR text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.54 0.85 0.40 0.05], ... + 'HorizontalAlignment', 'left', ... + 'String', 'Sampling from a Gaussian prior'); + + % Frames to enclose sliders + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 0.08 0.35 0.18]); + + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 0.3 0.35 0.18]); + + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 0.52 0.35 0.18]); + + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.05 0.74 0.35 0.18]); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 0.17 0.06 0.07], ... + 'String', 'aw1'); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 0.39 0.06 0.07], ... + 'String', 'ab1'); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 0.61 0.06 0.07], ... + 'String', 'aw2'); + + % Frame text + uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.07 0.83 0.06 0.07], ... + 'String', 'ab2'); + + % Slider + minval = -5; maxval = 5; + aw1slide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', log10(aw1), ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [0.07 0.1 0.31 0.05], ... + 'Min', minval, 'Max', maxval, ... + 'Callback', 'demprior update'); + + % Slider + ab1slide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', log10(ab1), ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [0.07 0.32 0.31 0.05], ... + 'Min', minval, 'Max', maxval, ... + 'Callback', 'demprior update'); + + % Slider + aw2slide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', log10(aw2), ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [0.07 0.54 0.31 0.05], ... + 'Min', minval, 'Max', maxval, ... + 'Callback', 'demprior update'); + + % Slider + ab2slide = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Value', log10(ab2), ... + 'BackgroundColor', [0.8 0.8 0.8], ... + 'Position', [0.07 0.76 0.31 0.05], ... + 'Min', minval, 'Max', maxval, ... + 'Callback', 'demprior update'); + + % The graph box + haxes = axes('Position', [0.5 0.28 0.45 0.45], ... + 'Units', 'normalized', ... + 'Visible', 'on'); + + % Text display of hyper-parameter values + + format = '%8f'; + + aw1val = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [0.15 0.17 0.23 0.07], ... + 'String', sprintf(format, aw1), ... + 'Callback', 'demprior newval'); + + ab1val = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [0.15 0.39 0.23 0.07], ... + 'String', sprintf(format, ab1), ... + 'Callback', 'demprior newval'); + + aw2val = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [0.15 0.61 0.23 0.07], ... + 'String', sprintf(format, aw2), ... + 'Callback', 'demprior newval'); + + ab2val = uicontrol(fig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'Position', [0.15 0.83 0.23 0.07], ... + 'String', sprintf(format, ab2), ... + 'Callback', 'demprior newval'); + + % The SAMPLE button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.5 0.08 0.13 0.1], ... + 'String','Sample', ... + 'Callback','demprior replot'); + + % The CLOSE button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.82 0.08 0.13 0.1], ... + 'String','Close', ... + 'Callback','close(gcf)'); + + % The HELP button + uicontrol(fig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.66 0.08 0.13 0.1], ... + 'String','Help', ... + 'Callback','demprior help'); + + % Save handles to objects + + hndlList=[fig aw1slide ab1slide aw2slide ab2slide aw1val ab1val aw2val ... + ab2val haxes]; + set(fig, 'UserData', hndlList); + + demprior('replot') + + +elseif strcmp(action, 'update'), + + % Update when a slider is moved. + + hndlList = get(gcf, 'UserData'); + aw1slide = hndlList(2); + ab1slide = hndlList(3); + aw2slide = hndlList(4); + ab2slide = hndlList(5); + aw1val = hndlList(6); + ab1val = hndlList(7); + aw2val = hndlList(8); + ab2val = hndlList(9); + haxes = hndlList(10); + + aw1 = 10^get(aw1slide, 'Value'); + ab1 = 10^get(ab1slide, 'Value'); + aw2 = 10^get(aw2slide, 'Value'); + ab2 = 10^get(ab2slide, 'Value'); + + format = '%8f'; + set(aw1val, 'String', sprintf(format, aw1)); + set(ab1val, 'String', sprintf(format, ab1)); + set(aw2val, 'String', sprintf(format, aw2)); + set(ab2val, 'String', sprintf(format, ab2)); + + demprior('replot'); + +elseif strcmp(action, 'newval'), + + % Update when text is changed. + + hndlList = get(gcf, 'UserData'); + aw1slide = hndlList(2); + ab1slide = hndlList(3); + aw2slide = hndlList(4); + ab2slide = hndlList(5); + aw1val = hndlList(6); + ab1val = hndlList(7); + aw2val = hndlList(8); + ab2val = hndlList(9); + haxes = hndlList(10); + + aw1 = sscanf(get(aw1val, 'String'), '%f'); + ab1 = sscanf(get(ab1val, 'String'), '%f'); + aw2 = sscanf(get(aw2val, 'String'), '%f'); + ab2 = sscanf(get(ab2val, 'String'), '%f'); + + set(aw1slide, 'Value', log10(aw1)); + set(ab1slide, 'Value', log10(ab1)); + set(aw2slide, 'Value', log10(aw2)); + set(ab2slide, 'Value', log10(ab2)); + + demprior('replot'); + +elseif strcmp(action, 'replot'), + + % Re-sample from the prior and plot graphs. + + oldFigNumber=watchon; + + hndlList = get(gcf, 'UserData'); + aw1slide = hndlList(2); + ab1slide = hndlList(3); + aw2slide = hndlList(4); + ab2slide = hndlList(5); + haxes = hndlList(10); + + aw1 = 10^get(aw1slide, 'Value'); + ab1 = 10^get(ab1slide, 'Value'); + aw2 = 10^get(aw2slide, 'Value'); + ab2 = 10^get(ab2slide, 'Value'); + + axes(haxes); + cla + set(gca, ... + 'Box', 'on', ... + 'Color', [0 0 0], ... + 'XColor', [0 0 0], ... + 'YColor', [0 0 0], ... + 'FontSize', 14); + axis([-1 1 -10 10]); + set(gca,'DefaultLineLineWidth', 2); + + nhidden = 12; + prior = mlpprior(1, nhidden, 1, aw1, ab1, aw2, ab2); + xvals = -1:0.005:1; + nsample = 10; % Number of samples from prior. + hold on + plot([-1 0; 1 0], [0 -10; 0 10], 'b--'); + net = mlp(1, nhidden, 1, 'linear', prior); + for i = 1:nsample + net = mlpinit(net, prior); + yvals = mlpfwd(net, xvals'); + plot(xvals', yvals, 'y'); + end + + watchoff(oldFigNumber); + +elseif strcmp(action, 'help'), + + % Provide help to user. + + oldFigNumber=watchon; + + helpfig = figure('Position', [100 100 480 400], ... + 'Name', 'Help', ... + 'NumberTitle', 'off', ... + 'Color', [0.8 0.8 0.8], ... + 'Visible','on'); + + % The HELP TITLE BAR frame + uicontrol(helpfig, ... + 'Style','frame', ... + 'Units','normalized', ... + 'HorizontalAlignment', 'center', ... + 'Position', [0.05 0.82 0.9 0.1], ... + 'BackgroundColor',[0.60 0.60 0.60]); + + % The HELP TITLE BAR text + uicontrol(helpfig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position', [0.26 0.85 0.6 0.05], ... + 'HorizontalAlignment', 'left', ... + 'String', 'Help: Sampling from a Gaussian Prior'); + + helpstr1 = strcat( ... + 'This demonstration shows the effects of sampling from a Gaussian', ... + ' prior over weights for a two-layer feed-forward network. The', ... + ' parameters aw1, ab1, aw2 and ab2 control the inverse variances of', ... + ' the first-layer weights, the hidden unit biases, the second-layer', ... + ' weights and the output unit biases respectively. Their values can', ... + ' be adjusted on a logarithmic scale using the sliders, or by', ... + ' typing values into the text boxes and pressing the return key.', ... + ' After setting these values, press the ''Sample'' button to see a', ... + ' new sample from the prior. '); + helpstr2 = strcat( ... + 'Observe how aw1 controls the horizontal length-scale of the', ... + ' variation in the functions, ab1 controls the input range over', ... + ' such variations occur, aw2 sets the vertical scale of the output', ... + ' and ab2 sets the vertical off-set of the output. The network has', ... + ' 12 hidden units. '); + hstr(1) = {helpstr1}; + hstr(2) = {''}; + hstr(3) = {helpstr2}; + + % The HELP text + helpui = uicontrol(helpfig, ... + 'Style', 'edit', ... + 'Units', 'normalized', ... + 'ForegroundColor', [0 0 0], ... + 'HorizontalAlignment', 'left', ... + 'BackgroundColor', [1 1 1], ... + 'Min', 0, ... + 'Max', 2, ... + 'Position', [0.05 0.2 0.9 0.8]); + + [hstrw , newpos] = textwrap(helpui, hstr, 70); + set(helpui, 'String', hstrw, 'Position', [0.05, 0.2, 0.9, newpos(4)]); + + + % The CLOSE button + uicontrol(helpfig, ... + 'Style','push', ... + 'Units','normalized', ... + 'BackgroundColor', [0.6 0.6 0.6], ... + 'Position',[0.4 0.05 0.2 0.1], ... + 'String','Close', ... + 'Callback','close(gcf)'); + + watchoff(oldFigNumber); + +end; + diff --git a/sourcecodes/bnt-master/netlab3.3/demrbf1.m b/sourcecodes/bnt-master/netlab3.3/demrbf1.m new file mode 100644 index 00000000..ffd6fd59 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demrbf1.m @@ -0,0 +1,138 @@ +%DEMRBF1 Demonstrate simple regression using a radial basis function network. +% +% Description +% The problem consists of one input variable X and one target variable +% T with data generated by sampling X at equal intervals and then +% generating target data by computing SIN(2*PI*X) and adding Gaussian +% noise. This data is the same as that used in demmlp1. +% +% Three different RBF networks (with different activation functions) +% are trained in two stages. First, a Gaussian mixture model is trained +% using the EM algorithm, and the centres of this model are used to set +% the centres of the RBF. Second, the output weights (and biases) are +% determined using the pseudo-inverse of the design matrix. +% +% See also +% DEMMLP1, RBF, RBFFWD, GMM, GMMEM +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +% Generate the matrix of inputs x and targets t. +randn('state', 42); +rand('state', 42); +ndata = 20; % Number of data points. +noise = 0.2; % Standard deviation of noise distribution. +x = (linspace(0, 1, ndata))'; +t = sin(2*pi*x) + noise*randn(ndata, 1); +mu = mean(x); +sigma = std(x); +tr_in = (x - mu)./(sigma); + +clc +disp('This demonstration illustrates the use of a Radial Basis Function') +disp('network for regression problems. The data is generated from a noisy') +disp('sine function.') +disp(' ') +disp('Press any key to continue.') +pause +% Set up network parameters. +nin = 1; % Number of inputs. +nhidden = 7; % Number of hidden units. +nout = 1; % Number of outputs. + +clc +disp('We assess the effect of three different activation functions.') +disp('First we create a network with Gaussian activations.') +disp(' ') +disp('Press any key to continue.') +pause +% Create and initialize network weight and parameter vectors. +net = rbf(nin, nhidden, nout, 'gaussian'); + +disp('A two-stage training algorithm is used: it uses a small number of') +disp('iterations of EM to position the centres, and then the pseudo-inverse') +disp('of the design matrix to find the second layer weights.') +disp(' ') +disp('Press any key to continue.') +pause +disp('Error values from EM training.') +% Use fast training method +options = foptions; +options(1) = 1; % Display EM training +options(14) = 10; % number of iterations of EM +net = rbftrain(net, options, tr_in, t); + +disp(' ') +disp('Press any key to continue.') +pause +clc +disp('The second RBF network has thin plate spline activations.') +disp('The same centres are used again, so we just need to calculate') +disp('the second layer weights.') +disp(' ') +disp('Press any key to continue.') +pause +% Create a second RBF with thin plate spline functions +net2 = rbf(nin, nhidden, nout, 'tps'); + +% Re-use previous centres rather than calling rbftrain again +net2.c = net.c; +[y, act2] = rbffwd(net2, tr_in); + +% Solve for new output weights and biases from RBF activations +temp = pinv([act2 ones(ndata, 1)]) * t; +net2.w2 = temp(1:nhidden, :); +net2.b2 = temp(nhidden+1, :); + +disp('The third RBF network has r^4 log r activations.') +disp(' ') +disp('Press any key to continue.') +pause +% Create a third RBF with r^4 log r functions +net3 = rbf(nin, nhidden, nout, 'r4logr'); + +% Overwrite weight vector with parameters from first RBF +net3.c = net.c; +[y, act3] = rbffwd(net3, tr_in); +temp = pinv([act3 ones(ndata, 1)]) * t; +net3.w2 = temp(1:nhidden, :); +net3.b2 = temp(nhidden+1, :); + +disp('Now we plot the data, underlying function, and network outputs') +disp('on a single graph to compare the results.') +disp(' ') +disp('Press any key to continue.') +pause +% Plot the data, the original function, and the trained network functions. +plotvals = [x(1):0.01:x(end)]'; +inputvals = (plotvals-mu)./sigma; +y = rbffwd(net, inputvals); +y2 = rbffwd(net2, inputvals); +y3 = rbffwd(net3, inputvals); +fh1 = figure; + +plot(x, t, 'ob') +hold on +xlabel('Input') +ylabel('Target') +axis([x(1) x(end) -1.5 1.5]) +[fx, fy] = fplot('sin(2*pi*x)', [x(1) x(end)]); +plot(fx, fy, '-r', 'LineWidth', 2) +plot(plotvals, y, '--g', 'LineWidth', 2) +plot(plotvals, y2, 'k--', 'LineWidth', 2) +plot(plotvals, y3, '-.c', 'LineWidth', 2) +legend('data', 'function', 'Gaussian RBF', 'Thin plate spline RBF', ... + 'r^4 log r RBF'); +hold off + +disp('RBF training errors are'); +disp(['Gaussian ', num2str(rbferr(net, tr_in, t)), ' TPS ', ... +num2str(rbferr(net2, tr_in, t)), ' R4logr ', num2str(rbferr(net3, tr_in, t))]); + +disp(' ') +disp('Press any key to end.') +pause +close(fh1); +clear all; diff --git a/sourcecodes/bnt-master/netlab3.3/demsom1.m b/sourcecodes/bnt-master/netlab3.3/demsom1.m new file mode 100644 index 00000000..2f1fe93c --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demsom1.m @@ -0,0 +1,113 @@ +%DEMSOM1 Demonstrate SOM for visualisation. +% +% Description +% This script demonstrates the use of a SOM with a two-dimensional +% grid to map onto data in two-dimensional space. Both on-line and +% batch training algorithms are shown. +% +% See also +% SOM, SOMPAK, SOMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +randn('state', 42); +rand('state', 42); +nin = 2; +ndata = 300; +% Give data an offset so that network has something to learn. +x = rand(ndata, nin) + ones(ndata, 1)*[1.5 1.5]; + +clc; +disp('This demonstration of the SOM, or Kohonen network, shows how the') +disp('network units after training lie in regions of high data density.') +disp('First we show the data, which is generated uniformly from a square.') +disp('Red crosses denote the data and black dots are the initial locations') +disp('of the SOM units.') +disp(' ') +disp('Press any key to continue.') +pause +net = som(nin, [8, 7]); +c1 = sompak(net); +h1 = figure; +plot(x(:, 1), x(:, 2), 'r+'); +hold on +plot(c1(:,1), c1(:, 2), 'k.'); +drawnow; % Force figure to be drawn before training starts +options = foptions; + +% Ordering phase +options(1) = 1; +options(14) = 50; +%options(14) = 5; % Just for testing +options(18) = 0.9; % Initial learning rate +options(16) = 0.05; % Final learning rate +options(17) = 8; % Initial neighbourhood size +options(15) = 1; % Final neighbourhood size + +disp('The SOM network is trained in two phases using an on-line algorithm.') +disp('Initially the neighbourhood is set to 8 and is then reduced') +disp('linearly to 1 over the first 50 iterations.') +disp('Each iteration consists of a pass through the complete') +disp('dataset, while the weights are adjusted after each pattern.') +disp('The learning rate is reduced linearly from 0.9 to 0.05.') +disp('This ordering phase puts the units in a rough grid shape.') +disp('Blue circles denote the units at the end of this phase.') +disp(' ') +disp('Press any key to continue.') +pause +net2 = somtrain(net, options, x); +c2 = sompak(net2); +plot(c2(:, 1), c2(:, 2), 'bo'); +drawnow; + +% Convergence phase +options(1) = 1; +options(14) = 400; +options(18) = 0.05; +options(16) = 0.01; +options(17) = 0; +options(15) = 0; + +disp('The second, convergence, phase of learning just updates the winning node.') +disp('The learning rate is reduced from 0.05 to 0.01 over 400 iterations.') +disp('Note how the error value does not decrease monotonically; it is') +disp('difficult to decide when training is complete in a principled way.') +disp('The units are plotted as green stars.') +disp(' ') +disp('Press any key to continue.') +pause +net3 = somtrain(net2, options, x); +c3 = sompak(net3); +plot(c3(:, 1), c3(:, 2), 'g*'); +drawnow; + +% Now try batch training +options(1) = 1; +options(6) = 1; +options(14) = 50; +options(17) = 3; +options(15) = 0; +disp('An alternative approach to the on-line algorithm is a batch update') +disp('rule. Each unit is updated to be the average weights') +disp('in a neighbourhood (which reduces from 3 to 0) over 50 iterations.'); +disp('Note how the error is even more unstable at first, though eventually') +disp('it does converge.') +disp('The final units are shown as black triangles.') +disp(' ') +disp('Press any key to continue.') +pause +net4 = somtrain(net, options, x); +c4 = sompak(net4); +plot(c4(:, 1), c4(:, 2), 'k^') +legend('Data', 'Initial weights', 'Weights after ordering', ... + 'Weights after convergence', 'Batch weights', 2); +drawnow; + +disp(' ') +disp('Press any key to end.') +disp(' ') +pause + +close(h1); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/demtrain.m b/sourcecodes/bnt-master/netlab3.3/demtrain.m new file mode 100644 index 00000000..61ebc16f --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/demtrain.m @@ -0,0 +1,362 @@ +function demtrain(action); +%DEMTRAIN Demonstrate training of MLP network. +% +% Description +% DEMTRAIN brings up a simple GUI to show the training of an MLP +% network on classification and regression problems. The user should +% load in a dataset (which should be in Netlab format: see DATREAD), +% select the output activation function, the number of cycles and +% hidden units and then train the network. The scaled conjugate +% gradient algorithm is used. A graph shows the evolution of the error: +% the value is shown MAX(CEIL(ITERATIONS / 50), 5) cycles. +% +% Once the network is trained, it is saved to the file MLPTRAIN.NET. +% The results can then be viewed as a confusion matrix (for +% classification problems) or a plot of output versus target (for +% regression problems). +% +% See also +% CONFMAT, DATREAD, MLP, NETOPT, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% If run without parameters, initialise gui. +if nargin<1, + action='initialise'; +end; + +% Global variable to reference GUI figure +global DEMTRAIN_FIG +% Global array to reference sub-figures for results plots +global DEMTRAIN_RES_FIGS +global NUM_DEMTRAIN_RES_FIGS + +if strcmp(action,'initialise'), + + file = ''; + path = '.'; + + % Create FIGURE + fig = figure( ... + 'Name', 'Netlab Demo', ... + 'NumberTitle', 'off', ... + 'Menubar', 'none', ... + 'Color', [0.7529 0.7529 0.7529], ... + 'Visible', 'on'); + % Initialise the globals + DEMTRAIN_FIG = fig; + DEMTRAIN_RES_FIGS = 0; + NUM_DEMTRAIN_RES_FIGS = 0; + + % Create GROUP for buttons + uicontrol(fig, ... + 'Style', 'frame', ... + 'Units', 'normalized', ... + 'Position', [0.03 0.08 0.94 0.22], ... + 'BackgroundColor', [0.5 0.5 0.5]); + + % Create MAIN axis + hMain = axes( ... + 'Units', 'normalized', ... + 'Position', [0.10 0.5 0.80 0.40], ... + 'XColor', [0 0 0], ... + 'YColor', [0 0 0], ... + 'Visible', 'on'); + + % Create static text for FILENAME and PATH + hFilename = uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.7529 0.7529 0.7529], ... + 'Position', [0.05 0.32 0.90 0.05], ... + 'HorizontalAlignment', 'center', ... + 'String', 'Please load data file.', ... + 'Visible', 'on'); + hPath = uicontrol(fig, ... + 'Style', 'text', ... + 'Units', 'normalized', ... + 'BackgroundColor', [0.7529 0.7529 0.7529], ... + 'Position', [0.05 0.37 0.90 0.05], ... + 'HorizontalAlignment', 'center', ... + 'String', '', ... + 'Visible', 'on'); + + % Create NO OF HIDDEN UNITS slider and text + hSliderText = uicontrol(fig, ... + 'Style', 'text', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Units', 'normalized', ... + 'Position', [0.27 0.12 0.17 0.04], ... + 'HorizontalAlignment', 'right', ... + 'String', 'Hidden Units: 5'); + hSlider = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Position', [0.45 0.12 0.26 0.04], ... + 'String', 'Slider', ... + 'Min', 1, 'Max', 25, ... + 'Value', 5, ... + 'Callback', 'demtrain slider_moved'); + + % Create ITERATIONS slider and text + hIterationsText = uicontrol(fig, ... + 'Style', 'text', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Units', 'normalized', ... + 'Position', [0.27 0.21 0.17 0.04], ... + 'HorizontalAlignment', 'right', ... + 'String', 'Iterations: 50'); + hIterations = uicontrol(fig, ... + 'Style', 'slider', ... + 'Units', 'normalized', ... + 'Position', [0.45 0.21 0.26 0.04], ... + 'String', 'Slider', ... + 'Min', 10, 'Max', 500, ... + 'Value', 50, ... + 'Callback', 'demtrain iterations_moved'); + + % Create ACTIVATION FUNCTION popup and text + uicontrol(fig, ... + 'Style', 'text', ... + 'BackgroundColor', [0.5 0.5 0.5], ... + 'Units', 'normalized', ... + 'Position', [0.05 0.20 0.20 0.04], ... + 'HorizontalAlignment', 'center', ... + 'String', 'Activation Function:'); + hPopup = uicontrol(fig, ... + 'Style', 'popup', ... + 'Units', 'normalized', ... + 'Position' , [0.05 0.10 0.20 0.08], ... + 'String', 'Linear|Logistic|Softmax', ... + 'Callback', ''); + + % Create MENU + hMenu1 = uimenu('Label', 'Load Data file...', 'Callback', ''); + uimenu(hMenu1, 'Label', 'Select training data file', ... + 'Callback', 'demtrain get_ip_file'); + hMenu2 = uimenu('Label', 'Show Results...', 'Callback', ''); + uimenu(hMenu2, 'Label', 'Show classification results', ... + 'Callback', 'demtrain classify'); + uimenu(hMenu2, 'Label', 'Show regression results', ... + 'Callback', 'demtrain predict'); + + % Create START button + hStart = uicontrol(fig, ... + 'Units', 'normalized', ... + 'Position' , [0.75 0.2 0.20 0.08], ... + 'String', 'Start Training', ... + 'Enable', 'off',... + 'Callback', 'demtrain start'); + + % Create CLOSE button + uicontrol(fig, ... + 'Units', 'normalized', ... + 'Position' , [0.75 0.1 0.20 0.08], ... + 'String', 'Close', ... + 'Callback', 'demtrain close'); + + % Save handles of important UI objects + hndlList = [hSlider hSliderText hFilename hPath hPopup ... + hIterations hIterationsText hStart]; + set(fig, 'UserData', hndlList); + % Hide window from command line + set(fig, 'HandleVisibility', 'callback'); + + +elseif strcmp(action, 'slider_moved'), + + % Slider has been moved. + + hndlList = get(gcf, 'UserData'); + hSlider = hndlList(1); + hSliderText = hndlList(2); + + val = get(hSlider, 'Value'); + if rem(val, 1) < 0.5, % Force up and down arrows to work! + val = ceil(val); + else + val = floor(val); + end; + set(hSlider, 'Value', val); + set(hSliderText, 'String', ['Hidden Units: ' int2str(val)]); + + +elseif strcmp(action, 'iterations_moved'), + + % Slider has been moved. + + hndlList = get(gcf, 'UserData'); + hSlider = hndlList(6); + hSliderText = hndlList(7); + + val = get(hSlider, 'Value'); + set(hSliderText, 'String', ['Iterations: ' int2str(val)]); + +elseif strcmp(action, 'get_ip_file'), + + % Get data file button pressed. + + hndlList = get(gcf, 'UserData'); + + [file, path] = uigetfile('*.dat', 'Get Data File', 50, 50); + + if strcmp(file, '') | file == 0, + set(hndlList(3), 'String', 'No data file loaded.'); + set(hndlList(4), 'String', ''); + else + set(hndlList(3), 'String', file); + set(hndlList(4), 'String', path); + end; + + % Enable training button + set(hndlList(8), 'Enable', 'on'); + + set(gcf, 'UserData', hndlList); + +elseif strcmp(action, 'start'), + + % Start training + + % Get handles of and values from UI objects + hndlList = get(gcf, 'UserData'); + hSlider = hndlList(1); % No of hidden units + hIterations = hndlList(6); + iterations = get(hIterations, 'Value'); + + hFilename = hndlList(3); % Data file name + filename = get(hFilename, 'String'); + + hPath = hndlList(4); % Data file path + path = get(hPath, 'String'); + + hPopup = hndlList(5); % Activation function + if get(hPopup, 'Value') == 1, + act_fn = 'linear'; + elseif get(hPopup, 'Value') == 2, + act_fn = 'logistic'; + else + act_fn = 'softmax'; + end; + nhidden = get(hSlider, 'Value'); + + % Check data file exists + if fopen([path '/' filename]) == -1, + errordlg('Training data file has not been selected.', 'Error'); + else + % Load data file + [x,t,nin,nout,ndata] = datread([path filename]); + + % Call MLPTRAIN function repeatedly, while drawing training graph. + figure(DEMTRAIN_FIG); + hold on; + + title('Training - please wait.'); + + % Create net and find initial error + net = mlp(size(x, 2), nhidden, size(t, 2), act_fn); + % Initialise network with inverse variance of 10 + net = mlpinit(net, 10); + error = mlperr(net, x, t); + % Work out reporting step: should be sufficiently big to let training + % algorithm have a chance + step = max(ceil(iterations / 50), 5); + + % Refresh and rescale axis. + cla; + max = error; + min = max/10; + set(gca, 'YScale', 'log'); + ylabel('log Error'); + xlabel('No. iterations'); + axis([0 iterations min max+1]); + iold = 0; + errold = error; + % Plot circle to show error of last iteration + % Setting erase mode to none prevents screen flashing during + % training + plot(0, error, 'ro', 'EraseMode', 'none'); + hold on + drawnow; % Force redraw + for i = step-1:step:iterations, + [net, error] = mlptrain(net, x, t, step); + % Plot line from last point to new point. + line([iold i], [errold error], 'Color', 'r', 'EraseMode', 'none'); + iold = i; + errold = error; + + % If new point off scale, redraw axes. + if error > max, + max = error; + axis([0 iterations min max+1]); + end; + if error < min + min = error/10; + axis([0 iterations min max+1]); + end + % Plot circle to show error of last iteration + plot(i, error, 'ro', 'EraseMode', 'none'); + drawnow; % Force redraw + end; + save mlptrain.net net + zoom on; + + title(['Training complete. Final error=', num2str(error)]); + + end; + +elseif strcmp(action, 'close'), + + % Close all the figures we have created + close(DEMTRAIN_FIG); + for n = 1:NUM_DEMTRAIN_RES_FIGS + if ishandle(DEMTRAIN_RES_FIGS(n)) + close(DEMTRAIN_RES_FIGS(n)); + end + end + +elseif strcmp(action, 'classify'), + + if fopen('mlptrain.net') == -1, + errordlg('You have not yet trained the network.', 'Error'); + else + + hndlList = get(gcf, 'UserData'); + filename = get(hndlList(3), 'String'); + path = get(hndlList(4), 'String'); + [x,t,nin,nout,ndata] = datread([path filename]); + load mlptrain.net net -mat + y = mlpfwd(net, x); + + % Save results figure so that it can be closed later + NUM_DEMTRAIN_RES_FIGS = NUM_DEMTRAIN_RES_FIGS + 1; + DEMTRAIN_RES_FIGS(NUM_DEMTRAIN_RES_FIGS)=conffig(y,t); + + end; + +elseif strcmp(action, 'predict'), + + if fopen('mlptrain.net') == -1, + errordlg('You have not yet trained the network.', 'Error'); + else + + hndlList = get(gcf, 'UserData'); + filename = get(hndlList(3), 'String'); + path = get(hndlList(4), 'String'); + [x,t,nin,nout,ndata] = datread([path filename]); + load mlptrain.net net -mat + y = mlpfwd(net, x); + + for i = 1:size(y,2), + % Save results figure so that it can be closed later + NUM_DEMTRAIN_RES_FIGS = NUM_DEMTRAIN_RES_FIGS + 1; + DEMTRAIN_RES_FIGS(NUM_DEMTRAIN_RES_FIGS) = figure; + hold on; + title(['Output no ' num2str(i)]); + plot([0 1], [0 1], 'r:'); + plot(y(:,i),t(:,i), 'o'); + hold off; + end; + end; + +end; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/dist2.m b/sourcecodes/bnt-master/netlab3.3/dist2.m new file mode 100644 index 00000000..b5f1c646 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/dist2.m @@ -0,0 +1,31 @@ +function n2 = dist2(x, c) +%DIST2 Calculates squared distance between two sets of points. +% +% Description +% D = DIST2(X, C) takes two matrices of vectors and calculates the +% squared Euclidean distance between them. Both matrices must be of +% the same column dimension. If X has M rows and N columns, and C has +% L rows and N columns, then the result has M rows and L columns. The +% I, Jth entry is the squared distance from the Ith row of X to the +% Jth row of C. +% +% See also +% GMMACTIV, KMEANS, RBFFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[ndata, dimx] = size(x); +[ncentres, dimc] = size(c); +if dimx ~= dimc + error('Data dimension does not match dimension of centres') +end + +n2 = (ones(ncentres, 1) * sum((x.^2)', 1))' + ... + ones(ndata, 1) * sum((c.^2)',1) - ... + 2.*(x*(c')); + +% Rounding errors occasionally cause negative entries in n2 +if any(any(n2<0)) + n2(n2<0) = 0; +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/eigdec.m b/sourcecodes/bnt-master/netlab3.3/eigdec.m new file mode 100644 index 00000000..f5901d42 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/eigdec.m @@ -0,0 +1,55 @@ +function [evals, evec] = eigdec(x, N) +%EIGDEC Sorted eigendecomposition +% +% Description +% EVALS = EIGDEC(X, N computes the largest N eigenvalues of the +% matrix X in descending order. [EVALS, EVEC] = EIGDEC(X, N) also +% computes the corresponding eigenvectors. +% +% See also +% PCA, PPCA +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargout == 1 + evals_only = logical(1); +else + evals_only = logical(0); +end + +if N ~= round(N) | N < 1 | N > size(x, 2) + error('Number of PCs must be integer, >0, < dim'); +end + +% Find the eigenvalues of the data covariance matrix +if evals_only + % Use eig function as always more efficient than eigs here + temp_evals = eig(x); +else + % Use eig function unless fraction of eigenvalues required is tiny + if (N/size(x, 2)) > 0.04 + [temp_evec, temp_evals] = eig(x); + else + options.disp = 0; + [temp_evec, temp_evals] = eigs(x, N, 'LM', options); + end + temp_evals = diag(temp_evals); +end + +% Eigenvalues nearly always returned in descending order, but just +% to make sure..... +[evals perm] = sort(-temp_evals); +evals = -evals(1:N); +if ~evals_only + if evals == temp_evals(1:N) + % Originals were in order + evec = temp_evec(:, 1:N); + return + else + % Need to reorder the eigenvectors + for i=1:N + evec(:,i) = temp_evec(:,perm(i)); + end + end +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/errbayes.m b/sourcecodes/bnt-master/netlab3.3/errbayes.m new file mode 100644 index 00000000..7c2a330b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/errbayes.m @@ -0,0 +1,49 @@ +function [e, edata, eprior] = errbayes(net, edata) +%ERRBAYES Evaluate Bayesian error function for network. +% +% Description +% E = ERRBAYES(NET, EDATA) takes a network data structure NET together +% the data contribution to the error for a set of inputs and targets. +% It returns the regularised error using any zero mean Gaussian priors +% on the weights defined in NET. +% +% [E, EDATA, EPRIOR] = ERRBAYES(NET, X, T) additionally returns the +% data and prior components of the error. +% +% See also +% GLMERR, MLPERR, RBFERR +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Evaluate the data contribution to the error. +if isfield(net, 'beta') + e1 = net.beta*edata; +else + e1 = edata; +end + +% Evaluate the prior contribution to the error. +if isfield(net, 'alpha') + w = netpak(net); + if size(net.alpha) == [1 1] + eprior = 0.5*(w*w'); + e2 = eprior*net.alpha; + else + if (isfield(net, 'mask')) + nindx_cols = size(net.index, 2); + nmask_rows = size(find(net.mask), 1); + index = reshape(net.index(logical(repmat(net.mask, ... + 1, nindx_cols))), nmask_rows, nindx_cols); + else + index = net.index; + end + eprior = 0.5*(w.^2)*index; + e2 = eprior*net.alpha; + end +else + eprior = 0; + e2 = 0; +end + +e = e1 + e2; diff --git a/sourcecodes/bnt-master/netlab3.3/evidence.m b/sourcecodes/bnt-master/netlab3.3/evidence.m new file mode 100644 index 00000000..ab023cb8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/evidence.m @@ -0,0 +1,114 @@ +function [net, gamma, logev] = evidence(net, x, t, num) +%EVIDENCE Re-estimate hyperparameters using evidence approximation. +% +% Description +% [NET] = EVIDENCE(NET, X, T) re-estimates the hyperparameters ALPHA +% and BETA by applying Bayesian re-estimation formulae for NUM +% iterations. The hyperparameter ALPHA can be a simple scalar +% associated with an isotropic prior on the weights, or can be a vector +% in which each component is associated with a group of weights as +% defined by the INDEX matrix in the NET data structure. These more +% complex priors can be set up for an MLP using MLPPRIOR. Initial +% values for the iterative re-estimation are taken from the network +% data structure NET passed as an input argument, while the return +% argument NET contains the re-estimated values. +% +% [NET, GAMMA, LOGEV] = EVIDENCE(NET, X, T, NUM) allows the re- +% estimation formula to be applied for NUM cycles in which the re- +% estimated values for the hyperparameters from each cycle are used to +% re-evaluate the Hessian matrix for the next cycle. The return value +% GAMMA is the number of well-determined parameters and LOGEV is the +% log of the evidence. +% +% See also +% MLPPRIOR, NETGRAD, NETHESS, DEMEV1, DEMARD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, '', x, t); +if ~isempty(errstring) + error(errstring); +end + +ndata = size(x, 1); +if nargin == 3 + num = 1; +end + +% Extract weights from network +w = netpak(net); + +% Evaluate data-dependent contribution to the Hessian matrix. +[h, dh] = nethess(w, net, x, t); +clear h; % To save memory when Hessian is large +if (~isfield(net, 'beta')) + local_beta = 1; +end + +[evec, evl] = eig(dh); +% Now set the negative eigenvalues to zero. +evl = evl.*(evl > 0); +% safe_evl is used to avoid taking log of zero +safe_evl = evl + eps.*(evl <= 0); + +[e, edata, eprior] = neterr(w, net, x, t); + +if size(net.alpha) == [1 1] + % Form vector of eigenvalues + evl = diag(evl); + safe_evl = diag(safe_evl); +else + ngroups = size(net.alpha, 1); + gams = zeros(1, ngroups); + logas = zeros(1, ngroups); + % Reconstruct data hessian with negative eigenvalues set to zero. + dh = evec*evl*evec'; +end + +% Do the re-estimation. +for k = 1 : num + % Re-estimate alpha. + if size(net.alpha) == [1 1] + % Evaluate number of well-determined parameters. + L = evl; + if isfield(net, 'beta') + L = net.beta*L; + end + gamma = sum(L./(L + net.alpha)); + net.alpha = 0.5*gamma/eprior; + % Partially evaluate log evidence: only include unmasked weights + logev = 0.5*length(w)*log(net.alpha); + else + hinv = inv(hbayes(net, dh)); + for m = 1 : ngroups + group_nweights = sum(net.index(:, m)); + gams(m) = group_nweights - ... + net.alpha(m)*sum(diag(hinv).*net.index(:,m)); + net.alpha(m) = real(gams(m)/(2*eprior(m))); + % Weight alphas by number of weights in group + logas(m) = 0.5*group_nweights*log(net.alpha(m)); + end + gamma = sum(gams, 2); + logev = sum(logas); + end + % Re-estimate beta. + if isfield(net, 'beta') + net.beta = 0.5*(net.nout*ndata - gamma)/edata; + logev = logev + 0.5*ndata*log(net.beta) - 0.5*ndata*log(2*pi); + local_beta = net.beta; + end + + % Evaluate new log evidence + e = errbayes(net, edata); + if size(net.alpha) == [1 1] + logev = logev - e - 0.5*sum(log(local_beta*safe_evl+net.alpha)); + else + for m = 1:ngroups + logev = logev - e - ... + 0.5*sum(log(local_beta*(safe_evl*net.index(:, m))+... + net.alpha(m))); + end + end +end + diff --git a/sourcecodes/bnt-master/netlab3.3/fevbayes.m b/sourcecodes/bnt-master/netlab3.3/fevbayes.m new file mode 100644 index 00000000..d5681596 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/fevbayes.m @@ -0,0 +1,59 @@ +function [extra, invhess] = fevbayes(net, y, a, x, t, x_test, invhess) +%FEVBAYES Evaluate Bayesian regularisation for network forward propagation. +% +% Description +% EXTRA = FEVBAYES(NET, Y, A, X, T, X_TEST) takes a network data +% structure NET together with a set of hidden unit activations A from +% test inputs X_TEST, training data inputs X and T and outputs a matrix +% of extra information EXTRA that consists of error bars (variance) for +% a regression problem or moderated outputs for a classification +% problem. The optional argument (and return value) INVHESS is the +% inverse of the network Hessian computed on the training data inputs +% and targets. Passing it in avoids recomputing it, which can be a +% significant saving for large training sets. +% +% This is called by network-specific functions such as MLPEVFWD which +% are needed since the return values (predictions and hidden unit +% activations) for different network types are in different orders (for +% good reasons). +% +% See also +% MLPEVFWD, RBFEVFWD, GLMEVFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +w = netpak(net); +g = netderiv(w, net, x_test); +if nargin < 7 + % Need to compute inverse hessian + hess = nethess(w, net, x, t); + invhess = inv(hess); +end + +ntest = size(x_test, 1); +var = zeros(ntest, 1); +for idx = 1:1:net.nout, + for n = 1:1:ntest, + grad = squeeze(g(n,:,idx)); + var(n,idx) = grad*invhess*grad'; + end +end + +switch net.outfn + case 'linear' + % extra is variance + extra = ones(size(var))./net.beta + var; + case 'logistic' + % extra is moderated output + kappa = 1./(sqrt(ones(size(var)) + (pi.*var)./8)); + extra = 1./(1 + exp(-kappa.*a)); + case 'softmax' + % Use extended Mackay formula; beware that this may not + % be very accurate + kappa = 1./(sqrt(ones(size(var)) + (pi.*var)./8)); + temp = exp(kappa.*a); + extra = temp./(sum(temp, 2)*ones(1, net.nout)); + otherwise + error(['Unknown activation function ', net.outfn]); +end diff --git a/sourcecodes/bnt-master/netlab3.3/gauss.m b/sourcecodes/bnt-master/netlab3.3/gauss.m new file mode 100644 index 00000000..33e23136 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gauss.m @@ -0,0 +1,33 @@ +function y = gauss(mu, covar, x) +%GAUSS Evaluate a Gaussian distribution. +% +% Description +% +% Y = GAUSS(MU, COVAR, X) evaluates a multi-variate Gaussian density +% in D-dimensions at a set of points given by the rows of the matrix X. +% The Gaussian density has mean vector MU and covariance matrix COVAR. +% +% See also +% GSAMP, DEMGAUSS +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[n, d] = size(x); + +[j, k] = size(covar); + +% Check that the covariance matrix is the correct dimension +if ((j ~= d) | (k ~=d)) + error('Dimension of the covariance matrix and data should match'); +end + +invcov = inv(covar); +mu = reshape(mu, 1, d); % Ensure that mu is a row vector + +x = x - ones(n, 1)*mu; +fact = sum(((x*invcov).*x), 2); + +y = exp(-0.5*fact); + +y = y./sqrt((2*pi)^d*det(covar)); diff --git a/sourcecodes/bnt-master/netlab3.3/gbayes.m b/sourcecodes/bnt-master/netlab3.3/gbayes.m new file mode 100644 index 00000000..7b814e97 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gbayes.m @@ -0,0 +1,56 @@ +function [g, gdata, gprior] = gbayes(net, gdata) +%GBAYES Evaluate gradient of Bayesian error function for network. +% +% Description +% G = GBAYES(NET, GDATA) takes a network data structure NET together +% the data contribution to the error gradient for a set of inputs and +% targets. It returns the regularised error gradient using any zero +% mean Gaussian priors on the weights defined in NET. In addition, if +% a MASK is defined in NET, then the entries in G that correspond to +% weights with a 0 in the mask are removed. +% +% [G, GDATA, GPRIOR] = GBAYES(NET, GDATA) additionally returns the data +% and prior components of the error. +% +% See also +% ERRBAYES, GLMGRAD, MLPGRAD, RBFGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Evaluate the data contribution to the gradient. +if (isfield(net, 'mask')) + gdata = gdata(logical(net.mask)); +end +if isfield(net, 'beta') + g1 = gdata*net.beta; +else + g1 = gdata; +end + +% Evaluate the prior contribution to the gradient. +if isfield(net, 'alpha') + w = netpak(net); + if size(net.alpha) == [1 1] + gprior = w; + g2 = net.alpha*gprior; + else + if (isfield(net, 'mask')) + nindx_cols = size(net.index, 2); + nmask_rows = size(find(net.mask), 1); + index = reshape(net.index(logical(repmat(net.mask, ... + 1, nindx_cols))), nmask_rows, nindx_cols); + else + index = net.index; + end + + ngroups = size(net.alpha, 1); + gprior = index'.*(ones(ngroups, 1)*w); + g2 = net.alpha'*gprior; + end +else + gprior = 0; + g2 = 0; +end + +g = g1 + g2; diff --git a/sourcecodes/bnt-master/netlab3.3/glm.m b/sourcecodes/bnt-master/netlab3.3/glm.m new file mode 100644 index 00000000..7741171a --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glm.m @@ -0,0 +1,82 @@ +function net = glm(nin, nout, outfunc, prior, beta) +%GLM Create a generalized linear model. +% +% Description +% +% NET = GLM(NIN, NOUT, FUNC) takes the number of inputs and outputs for +% a generalized linear model, together with a string FUNC which +% specifies the output unit activation function, and returns a data +% structure NET. The weights are drawn from a zero mean, isotropic +% Gaussian, with variance scaled by the fan-in of the output units. +% This makes use of the Matlab function RANDN and so the seed for the +% random weight initialization can be set using RANDN('STATE', S) +% where S is the seed value. The optional argument ALPHA sets the +% inverse variance for the weight initialization. +% +% The fields in NET are +% type = 'glm' +% nin = number of inputs +% nout = number of outputs +% nwts = total number of weights and biases +% actfn = string describing the output unit activation function: +% 'linear' +% 'logistic' +% 'softmax' +% w1 = first-layer weight matrix +% b1 = first-layer bias vector +% +% NET = GLM(NIN, NOUT, FUNC, PRIOR), in which PRIOR is a scalar, allows +% the field NET.ALPHA in the data structure NET to be set, +% corresponding to a zero-mean isotropic Gaussian prior with inverse +% variance with value PRIOR. Alternatively, PRIOR can consist of a data +% structure with fields ALPHA and INDEX, allowing individual Gaussian +% priors to be set over groups of weights in the network. Here ALPHA is +% a column vector in which each element corresponds to a separate +% group of weights, which need not be mutually exclusive. The +% membership of the groups is defined by the matrix INDEX in which the +% columns correspond to the elements of ALPHA. Each column has one +% element for each weight in the matrix, in the order defined by the +% function GLMPAK, and each element is 1 or 0 according to whether the +% weight is a member of the corresponding group or not. +% +% NET = GLM(NIN, NOUT, FUNC, PRIOR, BETA) also sets the additional +% field NET.BETA in the data structure NET, where beta corresponds to +% the inverse noise variance. +% +% See also +% GLMPAK, GLMUNPAK, GLMFWD, GLMERR, GLMGRAD, GLMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +net.type = 'glm'; +net.nin = nin; +net.nout = nout; +net.nwts = (nin + 1)*nout; + +outtfns = {'linear', 'logistic', 'softmax'}; + +if sum(strcmp(outfunc, outtfns)) == 0 + error('Undefined activation function. Exiting.'); +else + net.outfn = outfunc; +end + +if nargin > 3 + if isstruct(prior) + net.alpha = prior.alpha; + net.index = prior.index; + elseif size(prior) == [1 1] + net.alpha = prior; + else + error('prior must be a scalar or structure'); + end +end + +net.w1 = randn(nin, nout)/sqrt(nin + 1); +net.b1 = randn(1, nout)/sqrt(nin + 1); + +if nargin == 5 + net.beta = beta; +end + diff --git a/sourcecodes/bnt-master/netlab3.3/glmderiv.m b/sourcecodes/bnt-master/netlab3.3/glmderiv.m new file mode 100644 index 00000000..bc8de671 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glmderiv.m @@ -0,0 +1,40 @@ +function g = glmderiv(net, x) +%GLMDERIV Evaluate derivatives of GLM outputs with respect to weights. +% +% Description +% G = GLMDERIV(NET, X) takes a network data structure NET and a matrix +% of input vectors X and returns a three-index matrix mat{g} whose I, +% J, K element contains the derivative of network output K with respect +% to weight or bias parameter J for input pattern I. The ordering of +% the weight and bias parameters is defined by GLMUNPAK. +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'glm', x); +if ~isempty(errstring) + error(errstring); +end + +ndata = size(x, 1); +if isfield(net, 'mask') + nwts = size(find(net.mask), 1); + mask_array = logical(net.mask)*ones(1, net.nout); +else + nwts = net.nwts; +end +g = zeros(ndata, nwts, net.nout); + +temp = zeros(net.nwts, net.nout); +for n = 1:ndata + % Weight matrix w1 + temp(1:(net.nin*net.nout), :) = kron(eye(net.nout), (x(n, :))'); + % Bias term b1 + temp(net.nin*net.nout+1:end, :) = eye(net.nout); + if isfield(net, 'mask') + g(n, :, :) = reshape(temp(find(mask_array)), nwts, net.nout); + else + g(n, :, :) = temp; + end +end diff --git a/sourcecodes/bnt-master/netlab3.3/glmerr.m b/sourcecodes/bnt-master/netlab3.3/glmerr.m new file mode 100644 index 00000000..bab849c3 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glmerr.m @@ -0,0 +1,49 @@ +function [e, edata, eprior, y, a] = glmerr(net, x, t) +%GLMERR Evaluate error function for generalized linear model. +% +% Description +% E = GLMERR(NET, X, T) takes a generalized linear model data +% structure NET together with a matrix X of input vectors and a matrix +% T of target vectors, and evaluates the error function E. The choice +% of error function corresponds to the output unit activation function. +% Each row of X corresponds to one input vector and each row of T +% corresponds to one target vector. +% +% [E, EDATA, EPRIOR, Y, A] = GLMERR(NET, X, T) also returns the data +% and prior components of the total error. +% +% [E, EDATA, EPRIOR, Y, A] = GLMERR(NET, X) also returns a matrix Y +% giving the outputs of the models and a matrix A giving the summed +% inputs to each output unit, where each row corresponds to one +% pattern. +% +% See also +% GLM, GLMPAK, GLMUNPAK, GLMFWD, GLMGRAD, GLMTRAIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'glm', x, t); +if ~isempty(errstring); + error(errstring); +end + +[y, a] = glmfwd(net, x); + +switch net.outfn + + case 'linear' % Linear outputs + edata = 0.5*sum(sum((y - t).^2)); + + case 'logistic' % Logistic outputs + edata = - sum(sum(t.*log(y) + (1 - t).*log(1 - y))); + + case 'softmax' % Softmax outputs + edata = - sum(sum(t.*log(y))); + + otherwise + error(['Unknown activation function ', net.outfn]); +end + +[e, edata, eprior] = errbayes(net, edata); diff --git a/sourcecodes/bnt-master/netlab3.3/glmevfwd.m b/sourcecodes/bnt-master/netlab3.3/glmevfwd.m new file mode 100644 index 00000000..d445a367 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glmevfwd.m @@ -0,0 +1,28 @@ +function [y, extra, invhess] = glmevfwd(net, x, t, x_test, invhess) +%GLMEVFWD Forward propagation with evidence for GLM +% +% Description +% Y = GLMEVFWD(NET, X, T, X_TEST) takes a network data structure NET +% together with the input X and target T training data and input test +% data X_TEST. It returns the normal forward propagation through the +% network Y together with a matrix EXTRA which consists of error bars +% (variance) for a regression problem or moderated outputs for a +% classification problem. +% +% The optional argument (and return value) INVHESS is the inverse of +% the network Hessian computed on the training data inputs and targets. +% Passing it in avoids recomputing it, which can be a significant +% saving for large training sets. +% +% See also +% FEVBAYES +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[y, a] = glmfwd(net, x_test); +if nargin == 4 + [extra, invhess] = fevbayes(net, y, a, x, t, x_test); +else + [extra, invhess] = fevbayes(net, y, a, x, t, x_test, invhess); +end diff --git a/sourcecodes/bnt-master/netlab3.3/glmfwd.m b/sourcecodes/bnt-master/netlab3.3/glmfwd.m new file mode 100644 index 00000000..5a9519cd --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glmfwd.m @@ -0,0 +1,62 @@ +function [y, a] = glmfwd(net, x) +%GLMFWD Forward propagation through generalized linear model. +% +% Description +% Y = GLMFWD(NET, X) takes a generalized linear model data structure +% NET together with a matrix X of input vectors, and forward propagates +% the inputs through the network to generate a matrix Y of output +% vectors. Each row of X corresponds to one input vector and each row +% of Y corresponds to one output vector. +% +% [Y, A] = GLMFWD(NET, X) also returns a matrix A giving the summed +% inputs to each output unit, where each row corresponds to one +% pattern. +% +% See also +% GLM, GLMPAK, GLMUNPAK, GLMERR, GLMGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'glm', x); +if ~isempty(errstring); + error(errstring); +end + +ndata = size(x, 1); + +a = x*net.w1 + ones(ndata, 1)*net.b1; + +switch net.outfn + + case 'linear' % Linear outputs + y = a; + + case 'logistic' % Logistic outputs + % Prevent overflow and underflow: use same bounds as glmerr + % Ensure that log(1-y) is computable: need exp(a) > eps + maxcut = -log(eps); + % Ensure that log(y) is computable + mincut = -log(1/realmin - 1); + a = min(a, maxcut); + a = max(a, mincut); + y = 1./(1 + exp(-a)); + + case 'softmax' % Softmax outputs + nout = size(a,2); + % Prevent overflow and underflow: use same bounds as glmerr + % Ensure that sum(exp(a), 2) does not overflow + maxcut = log(realmax) - log(nout); + % Ensure that exp(a) > 0 + mincut = log(realmin); + a = min(a, maxcut); + a = max(a, mincut); + temp = exp(a); + y = temp./(sum(temp, 2)*ones(1,nout)); + % Ensure that log(y) is computable + y(y errold + errold = err; + w = wold; + options(8) = err; + fprintf(1, 'Error has increased: terminating\n') + return; + end + if test && n > 1 + if (max(abs(w - wold)) < options(2) && abs(err-errold) < options(3)) + options(8) = err; + return; + else + errold = err; + wold = w; + end + end +end + +options(8) = err; +if (options(1) >= 0) + disp(maxitmess); +end diff --git a/sourcecodes/bnt-master/netlab3.3/glmunpak.m b/sourcecodes/bnt-master/netlab3.3/glmunpak.m new file mode 100644 index 00000000..478ef657 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/glmunpak.m @@ -0,0 +1,30 @@ +function net = glmunpak(net, w) +%GLMUNPAK Separates weights vector into weight and bias matrices. +% +% Description +% NET = GLMUNPAK(NET, W) takes a glm network data structure NET and a +% weight vector W, and returns a network data structure identical to +% the input network, except that the first-layer weight matrix W1 and +% the first-layer bias vector B1 have been set to the corresponding +% elements of W. +% +% See also +% GLM, GLMPAK, GLMFWD, GLMERR, GLMGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'glm'); +if ~errstring + error(errstring); +end + +if net.nwts ~= length(w) + error('Invalid weight vector length') +end + +nin = net.nin; +nout = net.nout; +net.w1 = reshape(w(1:nin*nout), nin, nout); +net.b1 = reshape(w(nin*nout + 1: (nin + 1)*nout), 1, nout); diff --git a/sourcecodes/bnt-master/netlab3.3/gmm.m b/sourcecodes/bnt-master/netlab3.3/gmm.m new file mode 100644 index 00000000..248de8f5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gmm.m @@ -0,0 +1,113 @@ +function mix = gmm(dim, ncentres, covar_type, ppca_dim) +%GMM Creates a Gaussian mixture model with specified architecture. +% +% Description +% MIX = GMM(DIM, NCENTRES, COVARTYPE) takes the dimension of the space +% DIM, the number of centres in the mixture model and the type of the +% mixture model, and returns a data structure MIX. The mixture model +% type defines the covariance structure of each component Gaussian: +% 'spherical' = single variance parameter for each component: stored as a vector +% 'diag' = diagonal matrix for each component: stored as rows of a matrix +% 'full' = full matrix for each component: stored as 3d array +% 'ppca' = probabilistic PCA: stored as principal components (in a 3d array +% and associated variances and off-subspace noise +% MIX = GMM(DIM, NCENTRES, COVARTYPE, PPCA_DIM) also sets the +% dimension of the PPCA sub-spaces: the default value is one. +% +% The priors are initialised to equal values summing to one, and the +% covariances are all the identity matrix (or equivalent). The centres +% are initialised randomly from a zero mean unit variance Gaussian. +% This makes use of the MATLAB function RANDN and so the seed for the +% random weight initialisation can be set using RANDN('STATE', S) where +% S is the state value. +% +% The fields in MIX are +% +% type = 'gmm' +% nin = the dimension of the space +% ncentres = number of mixture components +% covartype = string for type of variance model +% priors = mixing coefficients +% centres = means of Gaussians: stored as rows of a matrix +% covars = covariances of Gaussians +% The additional fields for mixtures of PPCA are +% U = principal component subspaces +% lambda = in-space covariances: stored as rows of a matrix +% The off-subspace noise is stored in COVARS. +% +% See also +% GMMPAK, GMMUNPAK, GMMSAMP, GMMINIT, GMMEM, GMMACTIV, GMMPOST, +% GMMPROB +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if ncentres < 1 + error('Number of centres must be greater than zero') +end + +mix.type = 'gmm'; +mix.nin = dim; +mix.ncentres = ncentres; + +vartypes = {'spherical', 'diag', 'full', 'ppca'}; + +if sum(strcmp(covar_type, vartypes)) == 0 + error('Undefined covariance type') +else + mix.covar_type = covar_type; +end + +% Make default dimension of PPCA subspaces one. +if strcmp(covar_type, 'ppca') + if nargin < 4 + ppca_dim = 1; + end + if ppca_dim > dim + error('Dimension of PPCA subspaces must be less than data.') + end + mix.ppca_dim = ppca_dim; +end + +% Initialise priors to be equal and summing to one +mix.priors = ones(1,mix.ncentres) ./ mix.ncentres; + +% Initialise centres +mix.centres = randn(mix.ncentres, mix.nin); + +% Initialise all the variances to unity +switch mix.covar_type + +case 'spherical' + mix.covars = ones(1, mix.ncentres); + mix.nwts = mix.ncentres + mix.ncentres*mix.nin + mix.ncentres; +case 'diag' + % Store diagonals of covariance matrices as rows in a matrix + mix.covars = ones(mix.ncentres, mix.nin); + mix.nwts = mix.ncentres + mix.ncentres*mix.nin + ... + mix.ncentres*mix.nin; +case 'full' + % Store covariance matrices in a row vector of matrices + mix.covars = repmat(eye(mix.nin), [1 1 mix.ncentres]); + mix.nwts = mix.ncentres + mix.ncentres*mix.nin + ... + mix.ncentres*mix.nin*mix.nin; +case 'ppca' + % This is the off-subspace noise: make it smaller than + % lambdas + mix.covars = 0.1*ones(1, mix.ncentres); + % Also set aside storage for principal components and + % associated variances + init_space = eye(mix.nin); + init_space = init_space(:, 1:mix.ppca_dim); + init_space(mix.ppca_dim+1:mix.nin, :) = ... + ones(mix.nin - mix.ppca_dim, mix.ppca_dim); + mix.U = repmat(init_space , [1 1 mix.ncentres]); + mix.lambda = ones(mix.ncentres, mix.ppca_dim); + % Take account of additional parameters + mix.nwts = mix.ncentres + mix.ncentres*mix.nin + ... + mix.ncentres + mix.ncentres*mix.ppca_dim + ... + mix.ncentres*mix.nin*mix.ppca_dim; +otherwise + error(['Unknown covariance type ', mix.covar_type]); +end + diff --git a/sourcecodes/bnt-master/netlab3.3/gmmactiv.m b/sourcecodes/bnt-master/netlab3.3/gmmactiv.m new file mode 100644 index 00000000..117e1cdc --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gmmactiv.m @@ -0,0 +1,77 @@ +function a = gmmactiv(mix, x) +%GMMACTIV Computes the activations of a Gaussian mixture model. +% +% Description +% This function computes the activations A (i.e. the probability +% P(X|J) of the data conditioned on each component density) for a +% Gaussian mixture model. For the PPCA model, each activation is the +% conditional probability of X given that it is generated by the +% component subspace. The data structure MIX defines the mixture model, +% while the matrix X contains the data vectors. Each row of X +% represents a single vector. +% +% See also +% GMM, GMMPOST, GMMPROB +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check that inputs are consistent +errstring = consist(mix, 'gmm', x); +if ~isempty(errstring) + error(errstring); +end + +ndata = size(x, 1); +a = zeros(ndata, mix.ncentres); % Preallocate matrix + +switch mix.covar_type + +case 'spherical' + % Calculate squared norm matrix, of dimension (ndata, ncentres) + n2 = dist2(x, mix.centres); + + % Calculate width factors + wi2 = ones(ndata, 1) * (2 .* mix.covars); + normal = (pi .* wi2) .^ (mix.nin/2); + + % Now compute the activations + a = exp(-(n2./wi2))./ normal; + +case 'diag' + normal = (2*pi)^(mix.nin/2); + s = prod(sqrt(mix.covars), 2); + for j = 1:mix.ncentres + diffs = x - (ones(ndata, 1) * mix.centres(j, :)); + a(:, j) = exp(-0.5*sum((diffs.*diffs)./(ones(ndata, 1) * ... + mix.covars(j, :)), 2)) ./ (normal*s(j)); + end + +case 'full' + normal = (2*pi)^(mix.nin/2); + for j = 1:mix.ncentres + diffs = x - (ones(ndata, 1) * mix.centres(j, :)); + % Use Cholesky decomposition of covariance matrix to speed computation + c = chol(mix.covars(:, :, j)); + temp = diffs/c; + a(:, j) = exp(-0.5*sum(temp.*temp, 2))./(normal*prod(diag(c))); + end +case 'ppca' + log_normal = mix.nin*log(2*pi); + d2 = zeros(ndata, mix.ncentres); + logZ = zeros(1, mix.ncentres); + for i = 1:mix.ncentres + k = 1 - mix.covars(i)./mix.lambda(i, :); + logZ(i) = log_normal + mix.nin*log(mix.covars(i)) - ... + sum(log(1 - k)); + diffs = x - ones(ndata, 1)*mix.centres(i, :); + proj = diffs*mix.U(:, :, i); + d2(:,i) = (sum(diffs.*diffs, 2) - ... + sum((proj.*(ones(ndata, 1)*k)).*proj, 2)) / ... + mix.covars(i); + end + a = exp(-0.5*(d2 + ones(ndata, 1)*logZ)); +otherwise + error(['Unknown covariance type ', mix.covar_type]); +end + diff --git a/sourcecodes/bnt-master/netlab3.3/gmmem.m b/sourcecodes/bnt-master/netlab3.3/gmmem.m new file mode 100644 index 00000000..42066538 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gmmem.m @@ -0,0 +1,181 @@ +function [mix, options, errlog] = gmmem(mix, x, options) +%GMMEM EM algorithm for Gaussian mixture model. +% +% Description +% [MIX, OPTIONS, ERRLOG] = GMMEM(MIX, X, OPTIONS) uses the Expectation +% Maximization algorithm of Dempster et al. to estimate the parameters +% of a Gaussian mixture model defined by a data structure MIX. The +% matrix X represents the data whose expectation is maximized, with +% each row corresponding to a vector. The optional parameters have +% the following interpretations. +% +% OPTIONS(1) is set to 1 to display error values; also logs error +% values in the return argument ERRLOG. If OPTIONS(1) is set to 0, then +% only warning messages are displayed. If OPTIONS(1) is -1, then +% nothing is displayed. +% +% OPTIONS(3) is a measure of the absolute precision required of the +% error function at the solution. If the change in log likelihood +% between two steps of the EM algorithm is less than this value, then +% the function terminates. +% +% OPTIONS(5) is set to 1 if a covariance matrix is reset to its +% original value when any of its singular values are too small (less +% than MIN_COVAR which has the value eps). With the default value of +% 0 no action is taken. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% The optional return value OPTIONS contains the final error value +% (i.e. data log likelihood) in OPTIONS(8). +% +% See also +% GMM, GMMINIT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check that inputs are consistent +errstring = consist(mix, 'gmm', x); +if ~isempty(errstring) + error(errstring); +end + +[ndata, xdim] = size(x); + +% Sort out the options +if (options(14)) + niters = options(14); +else + niters = 100; +end + +display = options(1); +store = 0; +if (nargout > 2) + store = 1; % Store the error values to return them + errlog = zeros(1, niters); +end +test = 0; +if options(3) > 0.0 + test = 1; % Test log likelihood for termination +end + +check_covars = 0; +if options(5) >= 1 + if display >= 0 + disp('check_covars is on'); + end + check_covars = 1; % Ensure that covariances don't collapse + MIN_COVAR = eps; % Minimum singular value of covariance matrix + init_covars = mix.covars; +end + +% Main loop of algorithm +for n = 1:niters + + % Calculate posteriors based on old parameters + [post, act] = gmmpost(mix, x); + + % Calculate error value if needed + if (display || store || test) + prob = act*(mix.priors)'; + % Error value is negative log likelihood of data + e = - sum(log(prob)); + if store + errlog(n) = e; + end + if display > 0 + fprintf(1, 'Cycle %4d Error %11.6f\n', n, e); + end + if test + if (n > 1 && abs(e - eold) < options(3)) + options(8) = e; + return; + else + eold = e; + end + end + end + + % Adjust the new estimates for the parameters + new_pr = sum(post, 1); + new_c = post' * x; + + % Now move new estimates to old parameter vectors + mix.priors = new_pr ./ ndata; + + mix.centres = new_c ./ (new_pr' * ones(1, mix.nin)); + + switch mix.covar_type + case 'spherical' + n2 = dist2(x, mix.centres); + for j = 1:mix.ncentres + v(j) = (post(:,j)'*n2(:,j)); + end + mix.covars = ((v./new_pr))./mix.nin; + if check_covars + % Ensure that no covariance is too small + for j = 1:mix.ncentres + if mix.covars(j) < MIN_COVAR + mix.covars(j) = init_covars(j); + end + end + end + case 'diag' + for j = 1:mix.ncentres + diffs = x - (ones(ndata, 1) * mix.centres(j,:)); + mix.covars(j,:) = sum((diffs.*diffs).*(post(:,j)*ones(1, ... + mix.nin)), 1)./new_pr(j); + end + if check_covars + % Ensure that no covariance is too small + for j = 1:mix.ncentres + if min(mix.covars(j,:)) < MIN_COVAR + mix.covars(j,:) = init_covars(j,:); + end + end + end + case 'full' + for j = 1:mix.ncentres + diffs = x - (ones(ndata, 1) * mix.centres(j,:)); + diffs = diffs.*(sqrt(post(:,j))*ones(1, mix.nin)); + mix.covars(:,:,j) = (diffs'*diffs)/new_pr(j); + end + if check_covars + % Ensure that no covariance is too small + for j = 1:mix.ncentres + if min(svd(mix.covars(:,:,j))) < MIN_COVAR + mix.covars(:,:,j) = init_covars(:,:,j); + end + end + end + case 'ppca' + for j = 1:mix.ncentres + diffs = x - (ones(ndata, 1) * mix.centres(j,:)); + diffs = diffs.*(sqrt(post(:,j))*ones(1, mix.nin)); + [tempcovars, tempU, templambda] = ... + ppca((diffs'*diffs)/new_pr(j), mix.ppca_dim); + if length(templambda) ~= mix.ppca_dim + error('Unable to extract enough components'); + else + mix.covars(j) = tempcovars; + mix.U(:, :, j) = tempU; + mix.lambda(j, :) = templambda; + end + end + if check_covars + if mix.covars(j) < MIN_COVAR + mix.covars(j) = init_covars(j); + end + end + otherwise + error(['Unknown covariance type ', mix.covar_type]); + end +end + +options(8) = -sum(log(gmmprob(mix, x))); +if (display >= 0) + disp(maxitmess); +end + \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/gmminit.m b/sourcecodes/bnt-master/netlab3.3/gmminit.m new file mode 100644 index 00000000..30dc974d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gmminit.m @@ -0,0 +1,94 @@ +function mix = gmminit(mix, x, options) +%GMMINIT Initialises Gaussian mixture model from data +% +% Description +% MIX = GMMINIT(MIX, X, OPTIONS) uses a dataset X to initialise the +% parameters of a Gaussian mixture model defined by the data structure +% MIX. The k-means algorithm is used to determine the centres. The +% priors are computed from the proportion of examples belonging to each +% cluster. The covariance matrices are calculated as the sample +% covariance of the points associated with (i.e. closest to) the +% corresponding centres. For a mixture of PPCA model, the PPCA +% decomposition is calculated for the points closest to a given centre. +% This initialisation can be used as the starting point for training +% the model using the EM algorithm. +% +% See also +% GMM +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[ndata, xdim] = size(x); + +% Check that inputs are consistent +errstring = consist(mix, 'gmm', x); +if ~isempty(errstring) + error(errstring); +end + +% Arbitrary width used if variance collapses to zero: make it 'large' so +% that centre is responsible for a reasonable number of points. +GMM_WIDTH = 1.0; + +% Use kmeans algorithm to set centres +options(5) = 1; +[mix.centres, options, post] = kmeansNetlab(mix.centres, x, options); + +% Set priors depending on number of points in each cluster +cluster_sizes = max(sum(post, 1), 1); % Make sure that no prior is zero +mix.priors = cluster_sizes/sum(cluster_sizes); % Normalise priors + +switch mix.covar_type +case 'spherical' + if mix.ncentres > 1 + % Determine widths as distance to nearest centre + % (or a constant if this is zero) + cdist = dist2(mix.centres, mix.centres); + cdist = cdist + diag(ones(mix.ncentres, 1)*realmax); + mix.covars = min(cdist); + mix.covars = mix.covars + GMM_WIDTH*(mix.covars < eps); + else + % Just use variance of all data points averaged over all + % dimensions + mix.covars = mean(diag(cov(x))); + end + case 'diag' + for j = 1:mix.ncentres + % Pick out data points belonging to this centre + c = x(find(post(:, j)),:); + diffs = c - (ones(size(c, 1), 1) * mix.centres(j, :)); + mix.covars(j, :) = sum((diffs.*diffs), 1)/size(c, 1); + % Replace small entries by GMM_WIDTH value + mix.covars(j, :) = mix.covars(j, :) + GMM_WIDTH.*(mix.covars(j, :) 1 + label = zeros(n, 1); +end +cum_prior = 0; % Cumulative sum of priors +total_samples = 0; % Cumulative sum of number of sampled points +for j = 1:mix.ncentres + num_samples = sum(priors >= cum_prior & ... + priors < cum_prior + mix.priors(j)); + % Form a full covariance matrix + switch mix.covar_type + case 'spherical' + covar = mix.covars(j) * eye(mix.nin); + case 'diag' + covar = diag(mix.covars(j, :)); + case 'full' + covar = mix.covars(:, :, j); + case 'ppca' + covar = mix.covars(j) * eye(mix.nin) + ... + mix.U(:, :, j)* ... + (diag(mix.lambda(j, :))-(mix.covars(j)*eye(mix.ppca_dim)))* ... + (mix.U(:, :, j)'); + otherwise + error(['Unknown covariance type ', mix.covar_type]); + end + data(total_samples+1:total_samples+num_samples, :) = ... + gsamp(mix.centres(j, :), covar, num_samples); + if nargout > 1 + label(total_samples+1:total_samples+num_samples) = j; + end + cum_prior = cum_prior + mix.priors(j); + total_samples = total_samples + num_samples; +end + diff --git a/sourcecodes/bnt-master/netlab3.3/gmmunpak.m b/sourcecodes/bnt-master/netlab3.3/gmmunpak.m new file mode 100644 index 00000000..9a503816 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gmmunpak.m @@ -0,0 +1,54 @@ +function mix = gmmunpak(mix, p) +%GMMUNPAK Separates a vector of Gaussian mixture model parameters into its components. +% +% Description +% MIX = GMMUNPAK(MIX, P) takes a GMM data structure MIX and a single +% row vector of parameters P and returns a mixture data structure +% identical to the input MIX, except that the mixing coefficients +% PRIORS, centres CENTRES and covariances COVARS (and, for PPCA, the +% lambdas and U (PCA sub-spaces)) are all set to the corresponding +% elements of P. +% +% See also +% GMM, GMMPAK +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(mix, 'gmm'); +if ~errstring + error(errstring); +end +if mix.nwts ~= length(p) + error('Invalid weight vector length') +end + +mark1 = mix.ncentres; +mark2 = mark1 + mix.ncentres*mix.nin; + +mix.priors = reshape(p(1:mark1), 1, mix.ncentres); +mix.centres = reshape(p(mark1 + 1:mark2), mix.ncentres, mix.nin); +switch mix.covar_type + case 'spherical' + mark3 = mix.ncentres*(2 + mix.nin); + mix.covars = reshape(p(mark2 + 1:mark3), 1, mix.ncentres); + case 'diag' + mark3 = mix.ncentres*(1 + mix.nin + mix.nin); + mix.covars = reshape(p(mark2 + 1:mark3), mix.ncentres, mix.nin); + case 'full' + mark3 = mix.ncentres*(1 + mix.nin + mix.nin*mix.nin); + mix.covars = reshape(p(mark2 + 1:mark3), mix.nin, mix.nin, ... + mix.ncentres); + case 'ppca' + mark3 = mix.ncentres*(2 + mix.nin); + mix.covars = reshape(p(mark2 + 1:mark3), 1, mix.ncentres); + % Now also extract k and eigenspaces + mark4 = mark3 + mix.ncentres*mix.ppca_dim; + mix.lambda = reshape(p(mark3 + 1:mark4), mix.ncentres, ... + mix.ppca_dim); + mix.U = reshape(p(mark4 + 1:end), mix.nin, mix.ppca_dim, ... + mix.ncentres); + otherwise + error(['Unknown covariance type ', mix.covar_type]); +end + diff --git a/sourcecodes/bnt-master/netlab3.3/gp.m b/sourcecodes/bnt-master/netlab3.3/gp.m new file mode 100644 index 00000000..54643faa --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gp.m @@ -0,0 +1,93 @@ +function net = gp(nin, covar_fn, prior) +%GP Create a Gaussian Process. +% +% Description +% +% NET = GP(NIN, COVARFN) takes the number of inputs NIN for a Gaussian +% Process model with a single output, together with a string COVARFN +% which specifies the type of the covariance function, and returns a +% data structure NET. The parameters are set to zero. +% +% The fields in NET are +% type = 'gp' +% nin = number of inputs +% nout = number of outputs: always 1 +% nwts = total number of weights and covariance function parameters +% bias = logarithm of constant offset in covariance function +% noise = logarithm of output noise variance +% inweights = logarithm of inverse length scale for each input +% covarfn = string describing the covariance function: +% 'sqexp' +% 'ratquad' +% fpar = covariance function specific parameters (1 for squared exponential, +% 2 for rational quadratic) +% trin = training input data (initially empty) +% trtargets = training target data (initially empty) +% +% NET = GP(NIN, COVARFN, PRIOR) sets a Gaussian prior on the parameters +% of the model. PRIOR must contain the fields PR_MEAN and PR_VARIANCE. +% If PR_MEAN is a scalar, then the Gaussian is assumed to be isotropic +% and the additional fields NET.PR_MEAN and PR_VARIANCE are set. +% Otherwise, the Gaussian prior has a mean defined by a column vector +% of parameters PRIOR.PR_MEAN and covariance defined by a column vector +% of parameters PRIOR.PR_VARIANCE. Each element of PRMEAN corresponds +% to a separate group of parameters, which need not be mutually +% exclusive. The membership of the groups is defined by the matrix +% PRIOR.INDEX in which the columns correspond to the elements of +% PRMEAN. Each column has one element for each weight in the matrix, in +% the order defined by the function GPPAK, and each element is 1 or 0 +% according to whether the parameter is a member of the corresponding +% group or not. The additional field NET.INDEX is set in this case. +% +% See also +% GPPAK, GPUNPAK, GPFWD, GPERR, GPCOVAR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +net.type = 'gp'; +net.nin = nin; +net.nout = 1; % Only do single output GP + +% Store log parameters +net.bias = 0; +net.min_noise = sqrt(eps); % Prevent output noise collapsing completely +net.noise = 0; +net.inweights = zeros(1,nin); % Weights on inputs in covariance function + +covarfns = {'sqexp', 'ratquad'}; + +if sum(strcmp(covar_fn, covarfns)) == 0 + error('Undefined activation function. Exiting.'); +else + net.covar_fn = covar_fn; +end + +switch covar_fn + + case 'sqexp' % Squared exponential + net.fpar = zeros(1,1); % One function specific parameter + + case 'ratquad' % Rational quadratic + net.fpar = zeros(1, 2); % Two function specific parameters + + otherwise + error(['Unknown covariance function ', covar_fn]); +end + +net.nwts = 2 + nin + length(net.fpar); + +if nargin >= 3 + if size(prior.pr_mean) == [1 1] + net.pr_mean = prior.pr_mean; + net.pr_var = prior.pr_var; + else + net.pr_mean = prior.pr_mean; + net.pr_var = prior.pr_var; + net.index = prior.index; + end +end + +% Store training data as needed for gpfwd +net.tr_in = []; +net.tr_targets = []; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/gpcovar.m b/sourcecodes/bnt-master/netlab3.3/gpcovar.m new file mode 100644 index 00000000..f71fa4db --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpcovar.m @@ -0,0 +1,38 @@ +function [cov, covf] = gpcovar(net, x) +%GPCOVAR Calculate the covariance for a Gaussian Process. +% +% Description +% +% COV = GPCOVAR(NET, X) takes a Gaussian Process data structure NET +% together with a matrix X of input vectors, and computes the +% covariance matrix COV. The inverse of this matrix is used when +% calculating the mean and variance of the predictions made by NET. +% +% [COV, COVF] = GPCOVAR(NET, X) also generates the covariance matrix +% due to the covariance function specified by NET.COVARFN as calculated +% by GPCOVARF. +% +% See also +% GP, GPPAK, GPUNPAK, GPCOVARP, GPCOVARF, GPFWD, GPERR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'gp', x); +if ~isempty(errstring); + error(errstring); +end + +ndata = size(x, 1); + +% Compute prior covariance +if nargout >= 2 + [covp, covf] = gpcovarp(net, x, x); +else + covp = gpcovarp(net, x, x); +end + +% Add output noise variance +cov = covp + (net.min_noise + exp(net.noise))*eye(ndata); + diff --git a/sourcecodes/bnt-master/netlab3.3/gpcovarf.m b/sourcecodes/bnt-master/netlab3.3/gpcovarf.m new file mode 100644 index 00000000..ed66e60e --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpcovarf.m @@ -0,0 +1,44 @@ +function covf = gpcovarf(net, x1, x2) +%GPCOVARF Calculate the covariance function for a Gaussian Process. +% +% Description +% +% COVF = GPCOVARF(NET, X1, X2) takes a Gaussian Process data structure +% NET together with two matrices X1 and X2 of input vectors, and +% computes the matrix of the covariance function values COVF. +% +% See also +% GP, GPCOVAR, GPCOVARP, GPERR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x1); +if ~isempty(errstring); + error(errstring); +end + +if size(x1, 2) ~= size(x2, 2) + error('Number of variables in x1 and x2 must be the same'); +end + +n1 = size(x1, 1); +n2 = size(x2, 1); +beta = diag(exp(net.inweights)); + +% Compute the weighted squared distances between x1 and x2 +z = (x1.*x1)*beta*ones(net.nin, n2) - 2*x1*beta*x2' ... + + ones(n1, net.nin)*beta*(x2.*x2)'; + +switch net.covar_fn + + case 'sqexp' % Squared exponential + covf = exp(net.fpar(1) - 0.5*z); + + case 'ratquad' % Rational quadratic + nu = exp(net.fpar(2)); + covf = exp(net.fpar(1))*((ones(size(z)) + z).^(-nu)); + + otherwise + error(['Unknown covariance function ', net.covar_fn]); +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/gpcovarp.m b/sourcecodes/bnt-master/netlab3.3/gpcovarp.m new file mode 100644 index 00000000..203c405c --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpcovarp.m @@ -0,0 +1,30 @@ +function [covp, covf] = gpcovarp(net, x1, x2) +%GPCOVARP Calculate the prior covariance for a Gaussian Process. +% +% Description +% +% COVP = GPCOVARP(NET, X1, X2) takes a Gaussian Process data structure +% NET together with two matrices X1 and X2 of input vectors, and +% computes the matrix of the prior covariance. This is the function +% component of the covariance plus the exponential of the bias term. +% +% [COVP, COVF] = GPCOVARP(NET, X1, X2) also returns the function +% component of the covariance. +% +% See also +% GP, GPCOVAR, GPCOVARF, GPERR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x1); +if ~isempty(errstring); + error(errstring); +end + +if size(x1, 2) ~= size(x2, 2) + error('Number of variables in x1 and x2 must be the same'); +end + +covf = gpcovarf(net, x1, x2); +covp = covf + exp(net.bias); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/gperr.m b/sourcecodes/bnt-master/netlab3.3/gperr.m new file mode 100644 index 00000000..402d63bd --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gperr.m @@ -0,0 +1,51 @@ +function [e, edata, eprior] = gperr(net, x, t) +%GPERR Evaluate error function for Gaussian Process. +% +% Description +% E = GPERR(NET, X, T) takes a Gaussian Process data structure NET +% together with a matrix X of input vectors and a matrix T of target +% vectors, and evaluates the error function E. Each row of X +% corresponds to one input vector and each row of T corresponds to one +% target vector. +% +% [E, EDATA, EPRIOR] = GPERR(NET, X, T) additionally returns the data +% and hyperprior components of the error, assuming a Gaussian prior on +% the weights with mean and variance parameters PRMEAN and PRVARIANCE +% taken from the network data structure NET. +% +% See also +% GP, GPCOVAR, GPFWD, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x, t); +if ~isempty(errstring); + error(errstring); +end + +cn = gpcovar(net, x); + +edata = 0.5*(sum(log(eig(cn, 'nobalance'))) + t'*inv(cn)*t); + +% Evaluate the hyperprior contribution to the error. +% The hyperprior is Gaussian with mean pr_mean and variance +% pr_variance +if isfield(net, 'pr_mean') + w = gppak(net); + m = repmat(net.pr_mean, size(w)); + if size(net.pr_mean) == [1 1] + eprior = 0.5*((w-m)*(w-m)'); + e2 = eprior/net.pr_var; + else + wpr = repmat(w, size(net.pr_mean, 1), 1)'; + eprior = 0.5*(((wpr - m').^2).*net.index); + e2 = (sum(eprior, 1))*(1./net.pr_var); + end +else + e2 = 0; + eprior = 0; +end + +e = edata + e2; + diff --git a/sourcecodes/bnt-master/netlab3.3/gpfwd.m b/sourcecodes/bnt-master/netlab3.3/gpfwd.m new file mode 100644 index 00000000..b2d390e5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpfwd.m @@ -0,0 +1,51 @@ +function [y, sigsq] = gpfwd(net, x, cninv) +%GPFWD Forward propagation through Gaussian Process. +% +% Description +% Y = GPFWD(NET, X) takes a Gaussian Process data structure NET +% together with a matrix X of input vectors, and forward propagates +% the inputs through the model to generate a matrix Y of output +% vectors. Each row of X corresponds to one input vector and each row +% of Y corresponds to one output vector. This assumes that the +% training data (both inputs and targets) has been stored in NET by a +% call to GPINIT; these are needed to compute the training data +% covariance matrix. +% +% [Y, SIGSQ] = GPFWD(NET, X) also generates a column vector SIGSQ of +% conditional variances (or squared error bars) where each value +% corresponds to a pattern. +% +% [Y, SIGSQ] = GPFWD(NET, X, CNINV) uses the pre-computed inverse +% covariance matrix CNINV in the forward propagation. This increases +% efficiency if several calls to GPFWD are made. +% +% See also +% GP, DEMGP, GPINIT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x); +if ~isempty(errstring); + error(errstring); +end + +if ~(isfield(net, 'tr_in') & isfield(net, 'tr_targets')) + error('Require training inputs and targets'); +end + +if nargin == 2 + % Inverse covariance matrix not supplied. + cninv = inv(gpcovar(net, net.tr_in)); +end +ktest = gpcovarp(net, x, net.tr_in); + +% Predict mean +y = ktest*cninv*net.tr_targets; + +if nargout >= 2 + % Predict error bar + ndata = size(x, 1); + sigsq = (ones(ndata, 1) * gpcovarp(net, x(1,:), x(1,:))) ... + - sum((ktest*cninv).*ktest, 2); +end diff --git a/sourcecodes/bnt-master/netlab3.3/gpgrad.m b/sourcecodes/bnt-master/netlab3.3/gpgrad.m new file mode 100644 index 00000000..7ea531bc --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpgrad.m @@ -0,0 +1,100 @@ +function g = gpgrad(net, x, t) +%GPGRAD Evaluate error gradient for Gaussian Process. +% +% Description +% G = GPGRAD(NET, X, T) takes a Gaussian Process data structure NET +% together with a matrix X of input vectors and a matrix T of target +% vectors, and evaluates the error gradient G. Each row of X +% corresponds to one input vector and each row of T corresponds to one +% target vector. +% +% See also +% GP, GPCOVAR, GPFWD, GPERR +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x, t); +if ~isempty(errstring); + error(errstring); +end + +% Evaluate derivatives with respect to each hyperparameter in turn. +ndata = size(x, 1); +[cov, covf] = gpcovar(net, x); +cninv = inv(cov); +trcninv = trace(cninv); +cninvt = cninv*t; + +% Function parameters +switch net.covar_fn + + case 'sqexp' % Squared exponential + gfpar = trace(cninv*covf) - cninvt'*covf*cninvt; + + case 'ratquad' % Rational quadratic + beta = diag(exp(net.inweights)); + gfpar(1) = trace(cninv*covf) - cninvt'*covf*cninvt; + D2 = (x.*x)*beta*ones(net.nin, ndata) - 2*x*beta*x' ... + + ones(ndata, net.nin)*beta*(x.*x)'; + E = ones(size(D2)); + L = - exp(net.fpar(2)) * covf .* log(E + D2); % d(cn)/d(nu) + gfpar(2) = trace(cninv*L) - cninvt'*L*cninvt; + + otherwise + error(['Unknown covariance function ', net.covar_fn]); +end + +% Bias derivative +ndata = size(x, 1); +fac = exp(net.bias)*ones(ndata); +gbias = trace(cninv*fac) - cninvt'*fac*cninvt; + +% Noise derivative +gnoise = exp(net.noise)*(trcninv - cninvt'*cninvt); + +% Input weight derivatives +if strcmp(net.covar_fn, 'ratquad') + F = (exp(net.fpar(2))*E)./(E + D2); +end + +nparams = length(net.inweights); +for l = 1 : nparams + vect = x(:, l); + matx = (vect.*vect)*ones(1, ndata) ... + - 2.0*vect*vect' ... + + ones(ndata, 1)*(vect.*vect)'; + switch net.covar_fn + case 'sqexp' % Squared exponential + dmat = -0.5*exp(net.inweights(l))*covf.*matx; + + case 'ratquad' % Rational quadratic + dmat = - exp(net.inweights(l))*covf.*matx.*F; + otherwise + error(['Unknown covariance function ', net.covar_fn]); + end + + gw1(l) = trace(cninv*dmat) - cninvt'*dmat*cninvt; +end + +g1 = [gbias, gnoise, gw1, gfpar]; +g1 = 0.5*g1; + +% Evaluate the prior contribution to the gradient. +if isfield(net, 'pr_mean') + w = gppak(net); + m = repmat(net.pr_mean, size(w)); + if size(net.pr_mean) == [1 1] + gprior = w - m; + g2 = gprior/net.pr_var; + else + ngroups = size(net.pr_mean, 1); + gprior = net.index'.*(ones(ngroups, 1)*w - m); + g2 = (1./net.pr_var)'*gprior; + end +else + gprior = 0; + g2 = 0; +end + +g = g1 + g2; diff --git a/sourcecodes/bnt-master/netlab3.3/gpinit.m b/sourcecodes/bnt-master/netlab3.3/gpinit.m new file mode 100644 index 00000000..c355c0d5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpinit.m @@ -0,0 +1,43 @@ +function net = gpinit(net, tr_in, tr_targets, prior) +%GPINIT Initialise Gaussian Process model. +% +% Description +% NET = GPINIT(NET, TRIN, TRTARGETS) takes a Gaussian Process data +% structure NET together with a matrix TRIN of training input vectors +% and a matrix TRTARGETS of training target vectors, and stores them +% in NET. These datasets are required if the corresponding inverse +% covariance matrix is not supplied to GPFWD. This is important if the +% data structure is saved and then reloaded before calling GPFWD. Each +% row of TRIN corresponds to one input vector and each row of TRTARGETS +% corresponds to one target vector. +% +% NET = GPINIT(NET, TRIN, TRTARGETS, PRIOR) additionally initialises +% the parameters in NET from the PRIOR data structure which contains +% the mean and variance of the Gaussian distribution which is sampled +% from. +% +% See also +% GP, GPFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', tr_in, tr_targets); +if ~isempty(errstring); + error(errstring); +end + +if nargin >= 4 + % Initialise weights at random + if size(prior.pr_mean) == [1 1] + w = randn(1, net.nwts).*sqrt(prior.pr_var) + ... + repmat(prior.pr_mean, 1, net.nwts); + else + sig = sqrt(prior.index*prior.pr_var); + w = sig'.*randn(1, net.nwts) + (prior.index*prior.pr_mean)'; + end + net = gpunpak(net, w); +end + +net.tr_in = tr_in; +net.tr_targets = tr_targets; diff --git a/sourcecodes/bnt-master/netlab3.3/gppak.m b/sourcecodes/bnt-master/netlab3.3/gppak.m new file mode 100644 index 00000000..bb1c52a8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gppak.m @@ -0,0 +1,19 @@ +function hp = gppak(net) +%GPPAK Combines GP hyperparameters into one vector. +% +% Description +% HP = GPPAK(NET) takes a Gaussian Process data structure NET and +% combines the hyperparameters into a single row vector HP. +% +% See also +% GP, GPUNPAK, GPFWD, GPERR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'gp'); +if ~isempty(errstring); + error(errstring); +end +hp = [net.bias, net.noise, net.inweights, net.fpar]; diff --git a/sourcecodes/bnt-master/netlab3.3/gpunpak.m b/sourcecodes/bnt-master/netlab3.3/gpunpak.m new file mode 100644 index 00000000..8e1058e4 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpunpak.m @@ -0,0 +1,36 @@ +function net = gpunpak(net, hp) +%GPUNPAK Separates hyperparameter vector into components. +% +% Description +% NET = GPUNPAK(NET, HP) takes an Gaussian Process data structure NET +% and a hyperparameter vector HP, and returns a Gaussian Process data +% structure identical to the input model, except that the covariance +% bias BIAS, output noise NOISE, the input weight vector INWEIGHTS and +% the vector of covariance function specific parameters FPAR have all +% been set to the corresponding elements of HP. +% +% See also +% GP, GPPAK, GPFWD, GPERR, GPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'gp'); +if ~isempty(errstring); + error(errstring); +end +if net.nwts ~= length(hp) + error('Invalid weight vector length'); +end + +net.bias = hp(1); +net.noise = hp(2); + +% Unpack input weights +mark1 = 2 + net.nin; +net.inweights = hp(3:mark1); + +% Unpack function specific parameters +net.fpar = hp(mark1 + 1:size(hp, 2)); + diff --git a/sourcecodes/bnt-master/netlab3.3/gradchek.m b/sourcecodes/bnt-master/netlab3.3/gradchek.m new file mode 100644 index 00000000..3f9298fb --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gradchek.m @@ -0,0 +1,49 @@ +function [gradient, delta] = gradchek(w, func, grad, varargin) +%GRADCHEK Checks a user-defined gradient function using finite differences. +% +% Description +% This function is intended as a utility for other netlab functions +% (particularly optimisation functions) to use. It enables the user to +% check whether a gradient calculation has been correctly implmented +% for a given function. GRADCHEK(W, FUNC, GRAD) checks how accurate the +% gradient GRAD of a function FUNC is at a parameter vector X. A +% central difference formula with step size 1.0e-6 is used, and the +% results for both gradient function and finite difference +% approximation are printed. The optional return value GRADIENT is the +% gradient calculated using the function GRAD and the return value +% DELTA is the difference between the functional and finite difference +% methods of calculating the graident. +% +% GRADCHEK(X, FUNC, GRAD, P1, P2, ...) allows additional arguments to +% be passed to FUNC and GRAD. +% +% See also +% CONJGRAD, GRADDESC, HMC, OLGD, QUASINEW, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Reasonable value for step size +epsilon = 1.0e-6; + +func = fcnchk(func, length(varargin)); +grad = fcnchk(grad, length(varargin)); + +% Treat +nparams = length(w); +deltaf = zeros(1, nparams); +step = zeros(1, nparams); +for i = 1:nparams + % Move a small way in the ith coordinate of w + step(i) = 1.0; + fplus = feval('linef', epsilon, func, w, step, varargin{:}); + fminus = feval('linef', -epsilon, func, w, step, varargin{:}); + % Use central difference formula for approximation + deltaf(i) = 0.5*(fplus - fminus)/epsilon; + step(i) = 0.0; +end +gradient = feval(grad, w, varargin{:}); +fprintf(1, 'Checking gradient ...\n\n'); +delta = gradient - deltaf; +fprintf(1, ' analytic diffs delta\n\n'); +disp([gradient', deltaf', delta']) diff --git a/sourcecodes/bnt-master/netlab3.3/graddesc.m b/sourcecodes/bnt-master/netlab3.3/graddesc.m new file mode 100644 index 00000000..3cc64141 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/graddesc.m @@ -0,0 +1,180 @@ +function [x, options, flog, pointlog] = graddesc(f, x, options, gradf, ... + varargin) +%GRADDESC Gradient descent optimization. +% +% Description +% [X, OPTIONS, FLOG, POINTLOG] = GRADDESC(F, X, OPTIONS, GRADF) uses +% batch gradient descent to find a local minimum of the function F(X) +% whose gradient is given by GRADF(X). A log of the function values +% after each cycle is (optionally) returned in ERRLOG, and a log of the +% points visited is (optionally) returned in POINTLOG. +% +% Note that X is a row vector and F returns a scalar value. The point +% at which F has a local minimum is returned as X. The function value +% at that point is returned in OPTIONS(8). +% +% GRADDESC(F, X, OPTIONS, GRADF, P1, P2, ...) allows additional +% arguments to be passed to F() and GRADF(). +% +% The optional parameters have the following interpretations. +% +% OPTIONS(1) is set to 1 to display error values; also logs error +% values in the return argument ERRLOG, and the points visited in the +% return argument POINTSLOG. If OPTIONS(1) is set to 0, then only +% warning messages are displayed. If OPTIONS(1) is -1, then nothing is +% displayed. +% +% OPTIONS(2) is the absolute precision required for the value of X at +% the solution. If the absolute difference between the values of X +% between two successive steps is less than OPTIONS(2), then this +% condition is satisfied. +% +% OPTIONS(3) is a measure of the precision required of the objective +% function at the solution. If the absolute difference between the +% objective function values between two successive steps is less than +% OPTIONS(3), then this condition is satisfied. Both this and the +% previous condition must be satisfied for termination. +% +% OPTIONS(7) determines the line minimisation method used. If it is +% set to 1 then a line minimiser is used (in the direction of the +% negative gradient). If it is 0 (the default), then each parameter +% update is a fixed multiple (the learning rate) of the negative +% gradient added to a fixed multiple (the momentum) of the previous +% parameter update. +% +% OPTIONS(9) should be set to 1 to check the user defined gradient +% function GRADF with GRADCHEK. This is carried out at the initial +% parameter vector X. +% +% OPTIONS(10) returns the total number of function evaluations +% (including those in any line searches). +% +% OPTIONS(11) returns the total number of gradient evaluations. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% OPTIONS(15) is the precision in parameter space of the line search; +% default FOPTIONS(2). +% +% OPTIONS(17) is the momentum; default 0.5. It should be scaled by the +% inverse of the number of data points. +% +% OPTIONS(18) is the learning rate; default 0.01. It should be scaled +% by the inverse of the number of data points. +% +% See also +% CONJGRAD, LINEMIN, OLGD, MINBRACK, QUASINEW, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Set up the options. +if length(options) < 18 + error('Options vector too short') +end + +if (options(14)) + niters = options(14); +else + niters = 100; +end + +line_min_flag = 0; % Flag for line minimisation option +if (round(options(7)) == 1) + % Use line minimisation + line_min_flag = 1; + % Set options for line minimiser + line_options = foptions; + if options(15) > 0 + line_options(2) = options(15); + end +else + % Learning rate: must be positive + if (options(18) > 0) + eta = options(18); + else + eta = 0.01; + end + % Momentum term: allow zero momentum + if (options(17) >= 0) + mu = options(17); + else + mu = 0.5; + end +end + +% Check function string +f = fcnchk(f, length(varargin)); +gradf = fcnchk(gradf, length(varargin)); + +% Display information if options(1) > 0 +display = options(1) > 0; + +% Work out if we need to compute f at each iteration. +% Needed if using line search or if display results or if termination +% criterion requires it. +fcneval = (options(7) | display | options(3)); + +% Check gradients +if (options(9) > 0) + feval('gradchek', x, f, gradf, varargin{:}); +end + +dxold = zeros(1, size(x, 2)); +xold = x; +fold = 0; % Must be initialised so that termination test can be performed +if fcneval + fnew = feval(f, x, varargin{:}); + options(10) = options(10) + 1; + fold = fnew; +end + +% Main optimization loop. +for j = 1:niters + xold = x; + grad = feval(gradf, x, varargin{:}); + options(11) = options(11) + 1; % Increment gradient evaluation counter + if (line_min_flag ~= 1) + dx = mu*dxold - eta*grad; + x = x + dx; + dxold = dx; + if fcneval + fold = fnew; + fnew = feval(f, x, varargin{:}); + options(10) = options(10) + 1; + end + else + sd = - grad./norm(grad); % New search direction. + fold = fnew; + % Do a line search: normalise search direction to have length 1 + [lmin, line_options] = feval('linemin', f, x, sd, fold, ... + line_options, varargin{:}); + options(10) = options(10) + line_options(10); + x = xold + lmin*sd; + fnew = line_options(8); + end + if nargout >= 3 + flog(j) = fnew; + if nargout >= 4 + pointlog(j, :) = x; + end + end + if display + fprintf(1, 'Cycle %5d Function %11.8f\n', j, fnew); + end + if (max(abs(x - xold)) < options(2) & abs(fnew - fold) < options(3)) + % Termination criteria are met + options(8) = fnew; + return; + end +end + +if fcneval + options(8) = fnew; +else + options(8) = feval(f, x, varargin{:}); + options(10) = options(10) + 1; +end +if (options(1) >= 0) + disp(maxitmess); +end diff --git a/sourcecodes/bnt-master/netlab3.3/gsamp.m b/sourcecodes/bnt-master/netlab3.3/gsamp.m new file mode 100644 index 00000000..58b1ba1d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gsamp.m @@ -0,0 +1,32 @@ +function x = gsamp(mu, covar, nsamp) +%GSAMP Sample from a Gaussian distribution. +% +% Description +% +% X = GSAMP(MU, COVAR, NSAMP) generates a sample of size NSAMP from a +% D-dimensional Gaussian distribution. The Gaussian density has mean +% vector MU and covariance matrix COVAR, and the matrix X has NSAMP +% rows in which each row represents a D-dimensional sample vector. +% +% See also +% GAUSS, DEMGAUSS +% + +% Copyright (c) Ian T Nabney (1996-2001) + +d = size(covar, 1); + +mu = reshape(mu, 1, d); % Ensure that mu is a row vector + +[evec, eval] = eig(covar); + +deig=diag(eval); + +if (~isreal(deig)) | any(deig<0), + warning('Covariance Matrix is not OK, redefined to be positive definite'); + eval=abs(eval); +end + +coeffs = randn(nsamp, d)*sqrt(eval); + +x = ones(nsamp, 1)*mu + coeffs*evec'; diff --git a/sourcecodes/bnt-master/netlab3.3/gtm.m b/sourcecodes/bnt-master/netlab3.3/gtm.m new file mode 100644 index 00000000..9d1b3ab3 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtm.m @@ -0,0 +1,61 @@ +function net = gtm(dim_latent, nlatent, dim_data, ncentres, rbfunc, ... + prior) +%GTM Create a Generative Topographic Map. +% +% Description +% +% NET = GTM(DIMLATENT, NLATENT, DIMDATA, NCENTRES, RBFUNC), takes the +% dimension of the latent space DIMLATENT, the number of data points +% sampled in the latent space NLATENT, the dimension of the data space +% DIMDATA, the number of centres in the RBF model NCENTRES, the +% activation function for the RBF RBFUNC and returns a data structure +% NET. The parameters in the RBF and GMM sub-models are set by calls to +% the corresponding creation routines RBF and GMM. +% +% The fields in NET are +% type = 'gtm' +% nin = dimension of data space +% dimlatent = dimension of latent space +% rbfnet = RBF network data structure +% gmmnet = GMM data structure +% X = sample of latent points +% +% NET = GTM(DIMLATENT, NLATENT, DIMDATA, NCENTRES, RBFUNC, PRIOR), +% sets a Gaussian zero mean prior on the parameters of the RBF model. +% PRIOR must be a scalar and represents the inverse variance of the +% prior distribution. This gives rise to a weight decay term in the +% error function. +% +% See also +% GTMFWD, GTMPOST, RBF, GMM +% + +% Copyright (c) Ian T Nabney (1996-2001) + +net.type = 'gtm'; +% Input to functions is data +net.nin = dim_data; +net.dim_latent = dim_latent; + +% Default is no regularisation +if nargin == 5 + prior = 0.0; +end + +% Only allow scalar prior +if isstruct(prior) | size(prior) ~= [1 1] + error('Prior must be a scalar'); +end + +% Create RBF network +net.rbfnet = rbf(dim_latent, ncentres, dim_data, rbfunc, ... + 'linear', prior); + +% Mask all but output weights +net.rbfnet.mask = rbfprior(rbfunc, dim_latent, ncentres, dim_data); + +% Create field for GMM output model +net.gmmnet = gmm(dim_data, nlatent, 'spherical'); + +% Create empty latent data sample +net.X = []; \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/gtmem.m b/sourcecodes/bnt-master/netlab3.3/gtmem.m new file mode 100644 index 00000000..47dd84a5 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmem.m @@ -0,0 +1,135 @@ +function [net, options, errlog] = gtmem(net, t, options) +%GTMEM EM algorithm for Generative Topographic Mapping. +% +% Description +% [NET, OPTIONS, ERRLOG] = GTMEM(NET, T, OPTIONS) uses the Expectation +% Maximization algorithm to estimate the parameters of a GTM defined by +% a data structure NET. The matrix T represents the data whose +% expectation is maximized, with each row corresponding to a vector. +% It is assumed that the latent data NET.X has been set following a +% call to GTMINIT, for example. The optional parameters have the +% following interpretations. +% +% OPTIONS(1) is set to 1 to display error values; also logs error +% values in the return argument ERRLOG. If OPTIONS(1) is set to 0, then +% only warning messages are displayed. If OPTIONS(1) is -1, then +% nothing is displayed. +% +% OPTIONS(3) is a measure of the absolute precision required of the +% error function at the solution. If the change in log likelihood +% between two steps of the EM algorithm is less than this value, then +% the function terminates. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% The optional return value OPTIONS contains the final error value +% (i.e. data log likelihood) in OPTIONS(8). +% +% See also +% GTM, GTMINIT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check that inputs are consistent +errstring = consist(net, 'gtm', t); +if ~isempty(errstring) + error(errstring); +end + +% Sort out the options +if (options(14)) + niters = options(14); +else + niters = 100; +end + +display = options(1); +store = 0; +if (nargout > 2) + store = 1; % Store the error values to return them + errlog = zeros(1, niters); +end +test = 0; +if options(3) > 0.0 + test = 1; % Test log likelihood for termination +end + +% Calculate various quantities that remain constant during training +[ndata, tdim] = size(t); +ND = ndata*tdim; +[net.gmmnet.centres, Phi] = rbffwd(net.rbfnet, net.X); +Phi = [Phi ones(size(net.X, 1), 1)]; +PhiT = Phi'; +[K, Mplus1] = size(Phi); + +A = zeros(Mplus1, Mplus1); +cholDcmp = zeros(Mplus1, Mplus1); +% Use a sparse representation for the weight regularizing matrix. +if (net.rbfnet.alpha > 0) + Alpha = net.rbfnet.alpha*speye(Mplus1); + Alpha(Mplus1, Mplus1) = 0; +end + +for n = 1:niters + % Calculate responsibilities + [R, act] = gtmpost(net, t); + % Calculate error value if needed + if (display | store | test) + prob = act*(net.gmmnet.priors)'; + % Error value is negative log likelihood of data + e = - sum(log(max(prob,eps))); + if store + errlog(n) = e; + end + if display > 0 + fprintf(1, 'Cycle %4d Error %11.6f\n', n, e); + end + if test + if (n > 1 & abs(e - eold) < options(3)) + options(8) = e; + return; + else + eold = e; + end + end + end + + % Calculate matrix be inverted (Phi'*G*Phi + alpha*I in the papers). + % Sparse representation of G normally executes faster and saves + % memory + if (net.rbfnet.alpha > 0) + A = full(PhiT*spdiags(sum(R)', 0, K, K)*Phi + ... + (Alpha.*net.gmmnet.covars(1))); + else + A = full(PhiT*spdiags(sum(R)', 0, K, K)*Phi); + end + % A is a symmetric matrix likely to be positive definite, so try + % fast Cholesky decomposition to calculate W, otherwise use SVD. + % (PhiT*(R*t)) is computed right-to-left, as R + % and t are normally (much) larger than PhiT. + [cholDcmp singular] = chol(A); + if (singular) + if (display) + fprintf(1, ... + 'gtmem: Warning -- M-Step matrix singular, using pinv.\n'); + end + W = pinv(A)*(PhiT*(R'*t)); + else + W = cholDcmp \ (cholDcmp' \ (PhiT*(R'*t))); + end + % Put new weights into network to calculate responsibilities + % net.rbfnet = netunpak(net.rbfnet, W); + net.rbfnet.w2 = W(1:net.rbfnet.nhidden, :); + net.rbfnet.b2 = W(net.rbfnet.nhidden+1, :); + % Calculate new distances + d = dist2(t, Phi*W); + + % Calculate new value for beta + net.gmmnet.covars = ones(1, net.gmmnet.ncentres)*(sum(sum(d.*R))/ND); +end + +options(8) = -sum(log(gtmprob(net, t))); +if (display >= 0) + disp(maxitmess); +end diff --git a/sourcecodes/bnt-master/netlab3.3/gtmfwd.m b/sourcecodes/bnt-master/netlab3.3/gtmfwd.m new file mode 100644 index 00000000..bb84d344 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmfwd.m @@ -0,0 +1,17 @@ +function mix = gtmfwd(net) +%GTMFWD Forward propagation through GTM. +% +% Description +% MIX = GTMFWD(NET) takes a GTM structure NET, and forward propagates +% the latent data sample NET.X through the GTM to generate the +% structure MIX which represents the Gaussian mixture model in data +% space. +% +% See also +% GTM +% + +% Copyright (c) Ian T Nabney (1996-2001) + +net.gmmnet.centres = rbffwd(net.rbfnet, net.X); +mix = net.gmmnet; diff --git a/sourcecodes/bnt-master/netlab3.3/gtminit.m b/sourcecodes/bnt-master/netlab3.3/gtminit.m new file mode 100644 index 00000000..ae646a09 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtminit.m @@ -0,0 +1,153 @@ +function net = gtminit(net, options, data, samp_type, varargin) +%GTMINIT Initialise the weights and latent sample in a GTM. +% +% Description +% NET = GTMINIT(NET, OPTIONS, DATA, SAMPTYPE) takes a GTM NET and +% generates a sample of latent data points and sets the centres (and +% widths if appropriate) of NET.RBFNET. +% +% If the SAMPTYPE is 'REGULAR', then regular grids of latent data +% points and RBF centres are created. The dimension of the latent data +% space must be 1 or 2. For one-dimensional latent space, the +% LSAMPSIZE parameter gives the number of latent points and the +% RBFSAMPSIZE parameter gives the number of RBF centres. For a two- +% dimensional latent space, these parameters must be vectors of length +% 2 with the number of points in each of the x and y directions to +% create a rectangular grid. The widths of the RBF basis functions are +% set by a call to RBFSETFW passing OPTIONS(7) as the scaling +% parameter. +% +% If the SAMPTYPE is 'UNIFORM' or 'GAUSSIAN' then the latent data is +% found by sampling from a uniform or Gaussian distribution +% correspondingly. The RBF basis function parameters are set by a call +% to RBFSETBF with the DATA parameter as dataset and the OPTIONS +% vector. +% +% Finally, the output layer weights of the RBF are initialised by +% mapping the mean of the latent variable to the mean of the target +% variable, and the L-dimensional latent variale variance to the +% variance of the targets along the first L principal components. +% +% See also +% GTM, GTMEM, PCA, RBFSETBF, RBFSETFW +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check for consistency +errstring = consist(net, 'gtm', data); +if ~isempty(errstring) + error(errstring); +end + +% Check type of sample +stypes = {'regular', 'uniform', 'gaussian'}; +if (strcmp(samp_type, stypes)) == 0 + error('Undefined sample type.') +end + +if net.dim_latent > size(data, 2) + error('Latent space dimension must not be greater than data dimension') +end +nlatent = net.gmmnet.ncentres; +nhidden = net.rbfnet.nhidden; + +% Create latent data sample and set RBF centres + +switch samp_type +case 'regular' + if nargin ~= 6 + error('Regular type must specify latent and RBF shapes'); + end + l_samp_size = varargin{1}; + rbf_samp_size = varargin{2}; + if round(l_samp_size) ~= l_samp_size + error('Latent sample specification must contain integers') + end + % Check existence and size of rbf specification + if any(size(rbf_samp_size) ~= [1 net.dim_latent]) | ... + prod(rbf_samp_size) ~= nhidden + error('Incorrect specification of RBF centres') + end + % Check dimension and type of latent data specification + if any(size(l_samp_size) ~= [1 net.dim_latent]) | ... + prod(l_samp_size) ~= nlatent + error('Incorrect dimension of latent sample spec.') + end + if net.dim_latent == 1 + net.X = [-1:2/(l_samp_size-1):1]'; + net.rbfnet.c = [-1:2/(rbf_samp_size-1):1]'; + net.rbfnet = rbfsetfw(net.rbfnet, options(7)); + elseif net.dim_latent == 2 + net.X = gtm_rctg(l_samp_size); + net.rbfnet.c = gtm_rctg(rbf_samp_size); + net.rbfnet = rbfsetfw(net.rbfnet, options(7)); + else + error('For regular sample, input dimension must be 1 or 2.') + end + + +case {'uniform', 'gaussian'} + if strcmp(samp_type, 'uniform') + net.X = 2 * (rand(nlatent, net.dim_latent) - 0.5); + else + % Sample from N(0, 0.25) distribution to ensure most latent + % data is inside square + net.X = randn(nlatent, net.dim_latent)/2; + end + net.rbfnet = rbfsetbf(net.rbfnet, options, net.X); +otherwise + % Shouldn't get here + error('Invalid sample type'); + +end + +% Latent data sample and basis function parameters chosen. +% Now set output weights +[PCcoeff, PCvec] = pca(data); + +% Scale PCs by eigenvalues +A = PCvec(:, 1:net.dim_latent)*diag(sqrt(PCcoeff(1:net.dim_latent))); + +[temp, Phi] = rbffwd(net.rbfnet, net.X); +% Normalise X to ensure 1:1 mapping of variances and calculate weights +% as solution of Phi*W = normX*A' +normX = (net.X - ones(size(net.X))*diag(mean(net.X)))*diag(1./std(net.X)); +net.rbfnet.w2 = Phi \ (normX*A'); +% Bias is mean of target data +net.rbfnet.b2 = mean(data); + +% Must also set initial value of variance +% Find average distance between nearest centres +% Ensure that distance of centre to itself is excluded by setting diagonal +% entries to realmax +net.gmmnet.centres = rbffwd(net.rbfnet, net.X); +d = dist2(net.gmmnet.centres, net.gmmnet.centres) + ... + diag(ones(net.gmmnet.ncentres, 1)*realmax); +sigma = mean(min(d))/2; + +% Now set covariance to minimum of this and next largest eigenvalue +if net.dim_latent < size(data, 2) + sigma = min(sigma, PCcoeff(net.dim_latent+1)); +end +net.gmmnet.covars = sigma*ones(1, net.gmmnet.ncentres); + +% Sub-function to create the sample data in 2d +function sample = gtm_rctg(samp_size) + +xDim = samp_size(1); +yDim = samp_size(2); +% Produce a grid with the right number of rows and columns +[X, Y] = meshgrid([0:1:(xDim-1)], [(yDim-1):-1:0]); + +% Change grid representation +sample = [X(:), Y(:)]; + +% Shift grid to correct position and scale it +maxXY= max(sample); +sample(:,1) = 2*(sample(:,1) - maxXY(1)/2)./maxXY(1); +sample(:,2) = 2*(sample(:,2) - maxXY(2)/2)./maxXY(2); +return; + + + diff --git a/sourcecodes/bnt-master/netlab3.3/gtmlmean.m b/sourcecodes/bnt-master/netlab3.3/gtmlmean.m new file mode 100644 index 00000000..8aad8103 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmlmean.m @@ -0,0 +1,22 @@ +function means = gtmlmean(net, data) +%GTMLMEAN Mean responsibility for data in a GTM. +% +% Description +% MEANS = GTMLMEAN(NET, DATA) takes a GTM structure NET, and computes +% the means of the responsibility distributions for each data point in +% DATA. +% +% See also +% GTM, GTMPOST, GTMLMODE +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check for consistency +errstring = consist(net, 'gtm', data); +if ~isempty(errstring) + error(errstring); +end + +R = gtmpost(net, data); +means = R*net.X; diff --git a/sourcecodes/bnt-master/netlab3.3/gtmlmode.m b/sourcecodes/bnt-master/netlab3.3/gtmlmode.m new file mode 100644 index 00000000..6fee04a8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmlmode.m @@ -0,0 +1,25 @@ +function modes = gtmlmode(net, data) +%GTMLMODE Mode responsibility for data in a GTM. +% +% Description +% MODES = GTMLMODE(NET, DATA) takes a GTM structure NET, and computes +% the modes of the responsibility distributions for each data point in +% DATA. These will always lie at one of the latent space sample points +% NET.X. +% +% See also +% GTM, GTMPOST, GTMLMEAN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check for consistency +errstring = consist(net, 'gtm', data); +if ~isempty(errstring) + error(errstring); +end + +R = gtmpost(net, data); +% Mode is maximum responsibility +[max_resp, max_index] = max(R, [], 2); +modes = net.X(max_index, :); diff --git a/sourcecodes/bnt-master/netlab3.3/gtmmag.m b/sourcecodes/bnt-master/netlab3.3/gtmmag.m new file mode 100644 index 00000000..f0014971 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmmag.m @@ -0,0 +1,27 @@ +function mags = gtmmag(net, latent_data) +%GTMMAG Magnification factors for a GTM +% +% Description +% MAGS = GTMMAG(NET, LATENTDATA) takes a GTM structure NET, and +% computes the magnification factors for each point the latent space +% contained in LATENTDATA. +% +% See also +% GTM, GTMPOST, GTMLMEAN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gtm'); +if ~isempty(errstring) + error(errstring); +end + +Jacs = rbfjacob(net.rbfnet, latent_data); +nlatent = size(latent_data, 1); +mags = zeros(nlatent, 1); +temp = zeros(net.rbfnet.nin, net.rbfnet.nout); +for m = 1:nlatent + temp = squeeze(Jacs(m, :, :)); % Turn into a 2d matrix + mags(m) = sqrt(det(temp*temp')); +end diff --git a/sourcecodes/bnt-master/netlab3.3/gtmpost.m b/sourcecodes/bnt-master/netlab3.3/gtmpost.m new file mode 100644 index 00000000..d9182af0 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmpost.m @@ -0,0 +1,26 @@ +function [post, a] = gtmpost(net, data) +%GTMPOST Latent space responsibility for data in a GTM. +% +% Description +% POST = GTMPOST(NET, DATA) takes a GTM structure NET, and computes +% the responsibility at each latent space sample point NET.X for each +% data point in DATA. +% +% [POST, A] = GTMPOST(NET, DATA) also returns the activations A of the +% GMM NET.GMMNET as computed by GMMPOST. +% +% See also +% GTM, GTMEM, GTMLMEAN, GMLMODE, GMMPROB +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check for consistency +errstring = consist(net, 'gtm', data); +if ~isempty(errstring) + error(errstring); +end + +net.gmmnet.centres = rbffwd(net.rbfnet, net.X); + +[post, a] = gmmpost(net.gmmnet, data); diff --git a/sourcecodes/bnt-master/netlab3.3/gtmprob.m b/sourcecodes/bnt-master/netlab3.3/gtmprob.m new file mode 100644 index 00000000..203216a2 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gtmprob.m @@ -0,0 +1,22 @@ +function prob = gtmprob(net, data) +%GTMPROB Probability for data under a GTM. +% +% Description +% PROB = GTMPROB(NET, DATA) takes a GTM structure NET, and computes +% the probability of each point in the dataset DATA. +% +% See also +% GTM, GTMEM, GTMLMEAN, GTMLMODE, GTMPOST +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check for consistency +errstring = consist(net, 'gtm', data); +if ~isempty(errstring) + error(errstring); +end + +net.gmmnet.centres = rbffwd(net.rbfnet, net.X); + +prob = gmmprob(net.gmmnet, data); diff --git a/sourcecodes/bnt-master/netlab3.3/hbayes.m b/sourcecodes/bnt-master/netlab3.3/hbayes.m new file mode 100644 index 00000000..65864783 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/hbayes.m @@ -0,0 +1,49 @@ +function [h, hdata] = hbayes(net, hdata) +%HBAYES Evaluate Hessian of Bayesian error function for network. +% +% Description +% H = HBAYES(NET, HDATA) takes a network data structure NET together +% the data contribution to the Hessian for a set of inputs and targets. +% It returns the regularised Hessian using any zero mean Gaussian +% priors on the weights defined in NET. In addition, if a MASK is +% defined in NET, then the entries in H that correspond to weights with +% a 0 in the mask are removed. +% +% [H, HDATA] = HBAYES(NET, HDATA) additionally returns the data +% component of the Hessian. +% +% See also +% GBAYES, GLMHESS, MLPHESS, RBFHESS +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if (isfield(net, 'mask')) + % Extract relevant entries in Hessian + nmask_rows = size(find(net.mask), 1); + hdata = reshape(hdata(logical(net.mask*(net.mask'))), ... + nmask_rows, nmask_rows); + nwts = nmask_rows; +else + nwts = net.nwts; +end +if isfield(net, 'beta') + h = net.beta*hdata; +else + h = hdata; +end + +if isfield(net, 'alpha') + if size(net.alpha) == [1 1] + h = h + net.alpha*eye(nwts); + else + if isfield(net, 'mask') + nindx_cols = size(net.index, 2); + index = reshape(net.index(logical(repmat(net.mask, ... + 1, nindx_cols))), nmask_rows, nindx_cols); + else + index = net.index; + end + h = h + diag(index*net.alpha); + end +end diff --git a/sourcecodes/bnt-master/netlab3.3/hesschek.m b/sourcecodes/bnt-master/netlab3.3/hesschek.m new file mode 100644 index 00000000..ffd7253d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/hesschek.m @@ -0,0 +1,60 @@ +function h = hesschek(net, x, t) +%HESSCHEK Use central differences to confirm correct evaluation of Hessian matrix. +% +% Description +% +% HESSCHEK(NET, X, T) takes a network data structure NET, together with +% input and target data matrices X and T, and compares the evaluation +% of the Hessian matrix using the function NETHESS and using central +% differences with the function NETERR. +% +% The optional return value H is the Hessian computed using NETHESS. +% +% See also +% NETHESS, NETERR +% + +% Copyright (c) Ian T Nabney (1996-2001) + +w0 = netpak(net); +nwts = length(w0); +h = nethess(w0, net, x, t); + +w = w0; +hcent = zeros(nwts, nwts); +h1 = 0.0; h2 = 0.0; h3 = 0.0; h4 = 0.0; +epsilon = 1.0e-4; +fprintf(1, 'Checking Hessian ...\n\n'); +for k = 1:nwts; + for l = 1:nwts; + if(l == k) + w(k) = w0(k) + 2.0*epsilon; + h1 = neterr(w, net, x, t); + w(k) = w0(k) - 2.0*epsilon; + h2 = neterr(w, net, x, t); + w(k) = w0(k); + h3 = neterr(w, net, x, t); + hcent(k, k) = (h1 + h2 - 2.0*h3)/(4.0*epsilon^2); + else + w(k) = w0(k) + epsilon; + w(l) = w0(l) + epsilon; + h1 = neterr(w, net, x, t); + w(k) = w0(k) - epsilon; + w(l) = w0(l) - epsilon; + h2 = neterr(w, net, x, t); + w(k) = w0(k) + epsilon; + w(l) = w0(l) - epsilon; + h3 = neterr(w, net, x, t); + w(k) = w0(k) - epsilon; + w(l) = w0(l) + epsilon; + h4 = neterr(w, net, x, t); + hcent(k, l) = (h1 + h2 - h3 - h4)/(4.0*epsilon^2); + w(k) = w0(k); + w(l) = w0(l); + end + end +end + +fprintf(1, ' analytical numerical delta\n\n'); +temp = [h(:), hcent(:), (h(:) - hcent(:))]; +fprintf(1, '%12.6f %12.6f %12.6f\n', temp'); \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/hintmat.m b/sourcecodes/bnt-master/netlab3.3/hintmat.m new file mode 100644 index 00000000..24617921 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/hintmat.m @@ -0,0 +1,41 @@ +function [xvals, yvals, color] = hintmat(w); +%HINTMAT Evaluates the coordinates of the patches for a Hinton diagram. +% +% Description +% [xvals, yvals, color] = hintmat(w) +% takes a matrix W and returns coordinates XVALS, YVALS for the +% patches comrising the Hinton diagram, together with a vector COLOR +% labelling the color (black or white) of the corresponding elements +% according to their sign. +% +% See also +% HINTON +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Set scale to be up to 0.9 of maximum absolute weight value, where scale +% defined so that area of box proportional to weight value. + +w = flipud(w); +[nrows, ncols] = size(w); + +scale = 0.45*sqrt(abs(w)/max(max(abs(w)))); +scale = scale(:); +color = 0.5*(sign(w(:)) + 3); + +delx = 1; +dely = 1; +[X, Y] = meshgrid(0.5*delx:delx:(ncols-0.5*delx), 0.5*dely:dely:(nrows-0.5*dely)); + +% Now convert from matrix format to column vector format, and then duplicate +% columns with appropriate offsets determined by normalized weight magnitudes. + +xtemp = X(:); +ytemp = Y(:); + +xvals = [xtemp-delx*scale, xtemp+delx*scale, ... + xtemp+delx*scale, xtemp-delx*scale]; +yvals = [ytemp-dely*scale, ytemp-dely*scale, ... + ytemp+dely*scale, ytemp+dely*scale]; + diff --git a/sourcecodes/bnt-master/netlab3.3/hinton.m b/sourcecodes/bnt-master/netlab3.3/hinton.m new file mode 100644 index 00000000..c2c4b2be --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/hinton.m @@ -0,0 +1,57 @@ +function h = hinton(w); +%HINTON Plot Hinton diagram for a weight matrix. +% +% Description +% +% HINTON(W) takes a matrix W and plots the Hinton diagram. +% +% H = HINTON(NET) also returns the figure handle H which can be used, +% for instance, to delete the figure when it is no longer needed. +% +% To print the figure correctly in black and white, you should call +% SET(H, 'INVERTHARDCOPY', 'OFF') before printing. +% +% See also +% DEMHINT, HINTMAT, MLPHINT +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Set scale to be up to 0.9 of maximum absolute weight value, where scale +% defined so that area of box proportional to weight value. + +% Use no more than 640x480 pixels +xmax = 640; ymax = 480; + +% Offset bottom left hand corner +x01 = 40; y01 = 40; +x02 = 80; y02 = 80; + +% Need to allow 5 pixels border for window frame: but 30 at top +border = 5; +top_border = 30; + +ymax = ymax - top_border; +xmax = xmax - border; + +% First layer + +[xvals, yvals, color] = hintmat(w); +% Try to preserve aspect ratio approximately +if (8*size(w, 1) < 6*size(w, 2)) + delx = xmax; dely = xmax*size(w, 1)/(size(w, 2)); +else + delx = ymax*size(w, 2)/size(w, 1); dely = ymax; +end + +h = figure('Color', [0.5 0.5 0.5], ... + 'Name', 'Hinton diagram', ... + 'NumberTitle', 'off', ... + 'Colormap', [0 0 0; 1 1 1], ... + 'Units', 'pixels', ... + 'Position', [x01 y01 delx dely]); +set(gca, 'Visible', 'off', 'Position', [0 0 1 1]); +hold on +patch(xvals', yvals', color', 'Edgecolor', 'none'); +axis equal; + diff --git a/sourcecodes/bnt-master/netlab3.3/histp.m b/sourcecodes/bnt-master/netlab3.3/histp.m new file mode 100644 index 00000000..7b7fb31b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/histp.m @@ -0,0 +1,29 @@ +function h = histp(x, xmin, xmax, nbins) +%HISTP Histogram estimate of 1-dimensional probability distribution. +% +% Description +% +% HISTP(X, XMIN, XMAX, NBINS) takes a column vector X of data values +% and generates a normalized histogram plot of the distribution. The +% histogram has NBINS bins lying in the range XMIN to XMAX. +% +% H = HISTP(...) returns a vector of patch handles. +% +% See also +% DEMGAUSS +% + +% Copyright (c) Ian T Nabney (1996-2001) + +ndata = length(x); + +bins = linspace(xmin, xmax, nbins); + +binwidth = (xmax - xmin)/nbins; + +num = hist(x, bins); + +num = num/(ndata*binwidth); + +h = bar(bins, num, 0.6); + diff --git a/sourcecodes/bnt-master/netlab3.3/hmc.m b/sourcecodes/bnt-master/netlab3.3/hmc.m new file mode 100644 index 00000000..dab42be8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/hmc.m @@ -0,0 +1,281 @@ +function [samples, energies, diagn] = hmc(f, x, options, gradf, varargin) +%HMC Hybrid Monte Carlo sampling. +% +% Description +% SAMPLES = HMC(F, X, OPTIONS, GRADF) uses a hybrid Monte Carlo +% algorithm to sample from the distribution P ~ EXP(-F), where F is the +% first argument to HMC. The Markov chain starts at the point X, and +% the function GRADF is the gradient of the `energy' function F. +% +% HMC(F, X, OPTIONS, GRADF, P1, P2, ...) allows additional arguments to +% be passed to F() and GRADF(). +% +% [SAMPLES, ENERGIES, DIAGN] = HMC(F, X, OPTIONS, GRADF) also returns a +% log of the energy values (i.e. negative log probabilities) for the +% samples in ENERGIES and DIAGN, a structure containing diagnostic +% information (position, momentum and acceptance threshold) for each +% step of the chain in DIAGN.POS, DIAGN.MOM and DIAGN.ACC respectively. +% All candidate states (including rejected ones) are stored in +% DIAGN.POS. +% +% [SAMPLES, ENERGIES, DIAGN] = HMC(F, X, OPTIONS, GRADF) also returns +% the ENERGIES (i.e. negative log probabilities) corresponding to the +% samples. The DIAGN structure contains three fields: +% +% POS the position vectors of the dynamic process. +% +% MOM the momentum vectors of the dynamic process. +% +% ACC the acceptance thresholds. +% +% S = HMC('STATE') returns a state structure that contains the state of +% the two random number generators RAND and RANDN and the momentum of +% the dynamic process. These are contained in fields randstate, +% randnstate and mom respectively. The momentum state is only used for +% a persistent momentum update. +% +% HMC('STATE', S) resets the state to S. If S is an integer, then it +% is passed to RAND and RANDN and the momentum variable is randomised. +% If S is a structure returned by HMC('STATE') then it resets the +% generator to exactly the same state. +% +% The optional parameters in the OPTIONS vector have the following +% interpretations. +% +% OPTIONS(1) is set to 1 to display the energy values and rejection +% threshold at each step of the Markov chain. If the value is 2, then +% the position vectors at each step are also displayed. +% +% OPTIONS(5) is set to 1 if momentum persistence is used; default 0, +% for complete replacement of momentum variables. +% +% OPTIONS(7) defines the trajectory length (i.e. the number of leap- +% frog steps at each iteration). Minimum value 1. +% +% OPTIONS(9) is set to 1 to check the user defined gradient function. +% +% OPTIONS(14) is the number of samples retained from the Markov chain; +% default 100. +% +% OPTIONS(15) is the number of samples omitted from the start of the +% chain; default 0. +% +% OPTIONS(17) defines the momentum used when a persistent update of +% (leap-frog) momentum is used. This is bounded to the interval [0, +% 1). +% +% OPTIONS(18) is the step size used in leap-frogs; default 1/trajectory +% length. +% +% See also +% METROP +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Global variable to store state of momentum variables: set by set_state +% Used to initialise variable if set +global HMC_MOM +if nargin <= 2 + if ~strcmp(f, 'state') + error('Unknown argument to hmc'); + end + switch nargin + case 1 + samples = get_state(f); + return; + case 2 + set_state(f, x); + return; + end +end + +display = options(1); +if (round(options(5) == 1)) + persistence = 1; + % Set alpha to lie in [0, 1) + alpha = max(0, options(17)); + alpha = min(1, alpha); + salpha = sqrt(1-alpha*alpha); +else + persistence = 0; +end +L = max(1, options(7)); % At least one step in leap-frogging +if options(14) > 0 + nsamples = options(14); +else + nsamples = 100; % Default +end +if options(15) >= 0 + nomit = options(15); +else + nomit = 0; +end +if options(18) > 0 + step_size = options(18); % Step size. +else + step_size = 1/L; % Default +end +x = x(:)'; % Force x to be a row vector +nparams = length(x); + +% Set up strings for evaluating potential function and its gradient. +f = fcnchk(f, length(varargin)); +gradf = fcnchk(gradf, length(varargin)); + +% Check the gradient evaluation. +if (options(9)) + % Check gradients + feval('gradchek', x, f, gradf, varargin{:}); +end + +samples = zeros(nsamples, nparams); % Matrix of returned samples. +if nargout >= 2 + en_save = 1; + energies = zeros(nsamples, 1); +else + en_save = 0; +end +if nargout >= 3 + diagnostics = 1; + diagn_pos = zeros(nsamples, nparams); + diagn_mom = zeros(nsamples, nparams); + diagn_acc = zeros(nsamples, 1); +else + diagnostics = 0; +end + +n = - nomit + 1; +Eold = feval(f, x, varargin{:}); % Evaluate starting energy. +nreject = 0; +if (~persistence | isempty(HMC_MOM)) + p = randn(1, nparams); % Initialise momenta at random +else + p = HMC_MOM; % Initialise momenta from stored state +end +lambda = 1; + +% Main loop. +while n <= nsamples + + xold = x; % Store starting position. + pold = p; % Store starting momenta + Hold = Eold + 0.5*(p*p'); % Recalculate Hamiltonian as momenta have changed + + if ~persistence + % Choose a direction at random + if (rand < 0.5) + lambda = -1; + else + lambda = 1; + end + end + % Perturb step length. + epsilon = lambda*step_size*(1.0 + 0.1*randn(1)); + + % First half-step of leapfrog. + p = p - 0.5*epsilon*feval(gradf, x, varargin{:}); + x = x + epsilon*p; + + % Full leapfrog steps. + for m = 1 : L - 1 + p = p - epsilon*feval(gradf, x, varargin{:}); + x = x + epsilon*p; + end + + % Final half-step of leapfrog. + p = p - 0.5*epsilon*feval(gradf, x, varargin{:}); + + % Now apply Metropolis algorithm. + Enew = feval(f, x, varargin{:}); % Evaluate new energy. + p = -p; % Negate momentum + Hnew = Enew + 0.5*p*p'; % Evaluate new Hamiltonian. + a = exp(Hold - Hnew); % Acceptance threshold. + if (diagnostics & n > 0) + diagn_pos(n,:) = x; + diagn_mom(n,:) = p; + diagn_acc(n,:) = a; + end + if (display > 1) + fprintf(1, 'New position is\n'); + disp(x); + end + + if a > rand(1) % Accept the new state. + Eold = Enew; % Update energy + if (display > 0) + fprintf(1, 'Finished step %4d Threshold: %g\n', n, a); + end + else % Reject the new state. + if n > 0 + nreject = nreject + 1; + end + x = xold; % Reset position + p = pold; % Reset momenta + if (display > 0) + fprintf(1, ' Sample rejected %4d. Threshold: %g\n', n, a); + end + end + if n > 0 + samples(n,:) = x; % Store sample. + if en_save + energies(n) = Eold; % Store energy. + end + end + + % Set momenta for next iteration + if persistence + p = -p; + % Adjust momenta by a small random amount. + p = alpha.*p + salpha.*randn(1, nparams); + else + p = randn(1, nparams); % Replace all momenta. + end + + n = n + 1; +end + +if (display > 0) + fprintf(1, '\nFraction of samples rejected: %g\n', ... + nreject/(nsamples)); +end +if diagnostics + diagn.pos = diagn_pos; + diagn.mom = diagn_mom; + diagn.acc = diagn_acc; +end +% Store final momentum value in global so that it can be retrieved later +HMC_MOM = p; +return + +% Return complete state of sampler (including momentum) +function state = get_state(f) + +global HMC_MOM +state.randstate = rand('state'); +state.randnstate = randn('state'); +state.mom = HMC_MOM; +return + +% Set complete state of sampler (including momentum) or just set randn +% and rand with integer argument. +function set_state(f, x) + +global HMC_MOM +if isnumeric(x) + rand('state', x); + randn('state', x); + HMC_MOM = []; +else + if ~isstruct(x) + error('Second argument to hmc must be number or state structure'); + end + if (~isfield(x, 'randstate') | ~isfield(x, 'randnstate') ... + | ~isfield(x, 'mom')) + error('Second argument to hmc must contain correct fields') + end + rand('state', x.randstate); + randn('state', x.randnstate); + HMC_MOM = x.mom; +end +return diff --git a/sourcecodes/bnt-master/netlab3.3/kmeansNetlab.m b/sourcecodes/bnt-master/netlab3.3/kmeansNetlab.m new file mode 100644 index 00000000..09935f7b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/kmeansNetlab.m @@ -0,0 +1,124 @@ +function [centres, options, post, errlog] = kmeans(centres, data, options) +%KMEANS Trains a k means cluster model. +% +% Description +% CENTRES = KMEANS(CENTRES, DATA, OPTIONS) uses the batch K-means +% algorithm to set the centres of a cluster model. The matrix DATA +% represents the data which is being clustered, with each row +% corresponding to a vector. The sum of squares error function is used. +% The point at which a local minimum is achieved is returned as +% CENTRES. The error value at that point is returned in OPTIONS(8). +% +% [CENTRES, OPTIONS, POST, ERRLOG] = KMEANS(CENTRES, DATA, OPTIONS) +% also returns the cluster number (in a one-of-N encoding) for each +% data point in POST and a log of the error values after each cycle in +% ERRLOG. The optional parameters have the following +% interpretations. +% +% OPTIONS(1) is set to 1 to display error values; also logs error +% values in the return argument ERRLOG. If OPTIONS(1) is set to 0, then +% only warning messages are displayed. If OPTIONS(1) is -1, then +% nothing is displayed. +% +% OPTIONS(2) is a measure of the absolute precision required for the +% value of CENTRES at the solution. If the absolute difference between +% the values of CENTRES between two successive steps is less than +% OPTIONS(2), then this condition is satisfied. +% +% OPTIONS(3) is a measure of the precision required of the error +% function at the solution. If the absolute difference between the +% error functions between two successive steps is less than OPTIONS(3), +% then this condition is satisfied. Both this and the previous +% condition must be satisfied for termination. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% See also +% GMMINIT, GMMEM +% + +% Copyright (c) Ian T Nabney (1996-2001) + +[ndata, data_dim] = size(data); +[ncentres, dim] = size(centres); + +if dim ~= data_dim + error('Data dimension does not match dimension of centres') +end + +if (ncentres > ndata) + error('More centres than data') +end + +% Sort out the options +if (options(14)) + niters = options(14); +else + niters = 100; +end + +store = 0; +if (nargout > 3) + store = 1; + errlog = zeros(1, niters); +end + +% Check if centres and posteriors need to be initialised from data +if (options(5) == 1) + % Do the initialisation + perm = randperm(ndata); + perm = perm(1:ncentres); + + % Assign first ncentres (permuted) data points as centres + centres = data(perm, :); +end +% Matrix to make unit vectors easy to construct +id = eye(ncentres); + +% Main loop of algorithm +for n = 1:niters + + % Save old centres to check for termination + old_centres = centres; + + % Calculate posteriors based on existing centres + d2 = dist2(data, centres); + % Assign each point to nearest centre + [minvals, index] = min(d2', [], 1); + post = id(index,:); + + num_points = sum(post, 1); + % Adjust the centres based on new posteriors + for j = 1:ncentres + if (num_points(j) > 0) + centres(j,:) = sum(data(find(post(:,j)),:), 1)/num_points(j); + end + end + + % Error value is total squared distance from cluster centres + e = sum(minvals); + if store + errlog(n) = e; + end + if options(1) > 0 + fprintf(1, 'Cycle %4d Error %11.6f\n', n, e); + end + + if n > 1 + % Test for termination + if max(max(abs(centres - old_centres))) < options(2) & ... + abs(old_e - e) < options(3) + options(8) = e; + return; + end + end + old_e = e; +end + +% If we get here, then we haven't terminated in the given number of +% iterations. +options(8) = e; +if (options(1) >= 0) + disp(maxitmess); +end + diff --git a/sourcecodes/bnt-master/netlab3.3/knn.m b/sourcecodes/bnt-master/netlab3.3/knn.m new file mode 100644 index 00000000..2a171804 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/knn.m @@ -0,0 +1,34 @@ +function net = knn(nin, nout, k, tr_in, tr_targets) +%KNN Creates a K-nearest-neighbour classifier. +% +% Description +% NET = KNN(NIN, NOUT, K, TR_IN, TR_TARGETS) creates a KNN model NET +% with input dimension NIN, output dimension NOUT and K neighbours. +% The training data is also stored in the data structure and the +% targets are assumed to be using a 1-of-N coding. +% +% The fields in NET are +% type = 'knn' +% nin = number of inputs +% nout = number of outputs +% tr_in = training input data +% tr_targets = training target data +% +% See also +% KMEANS, KNNFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +net.type = 'knn'; +net.nin = nin; +net.nout = nout; +net.k = k; +errstring = consist(net, 'knn', tr_in, tr_targets); +if ~isempty(errstring) + error(errstring); +end +net.tr_in = tr_in; +net.tr_targets = tr_targets; + diff --git a/sourcecodes/bnt-master/netlab3.3/knnfwd.m b/sourcecodes/bnt-master/netlab3.3/knnfwd.m new file mode 100644 index 00000000..db450bae --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/knnfwd.m @@ -0,0 +1,53 @@ +function [y, l] = knnfwd(net, x) +%KNNFWD Forward propagation through a K-nearest-neighbour classifier. +% +% Description +% [Y, L] = KNNFWD(NET, X) takes a matrix X of input vectors (one vector +% per row) and uses the K-nearest-neighbour rule on the training data +% contained in NET to produce a matrix Y of outputs and a matrix L of +% classification labels. The nearest neighbours are determined using +% Euclidean distance. The IJth entry of Y counts the number of +% occurrences that an example from class J is among the K closest +% training examples to example I from X. The matrix L contains the +% predicted class labels as an index 1..N, not as 1-of-N coding. +% +% See also +% KMEANS, KNN +% + +% Copyright (c) Ian T Nabney (1996-2001) + + +errstring = consist(net, 'knn', x); +if ~isempty(errstring) + error(errstring); +end + +ntest = size(x, 1); % Number of input vectors. +nclass = size(net.tr_targets, 2); % Number of classes. + +% Compute matrix of squared distances between input vectors from the training +% and test sets. The matrix distsq has dimensions (ntrain, ntest). + +distsq = dist2(net.tr_in, x); + +% Now sort the distances. This generates a matrix kind of the same +% dimensions as distsq, in which each column gives the indices of the +% elements in the corresponding column of distsq in ascending order. + +[vals, kind] = sort(distsq); +y = zeros(ntest, nclass); + +for k=1:net.k + % We now look at the predictions made by the Kth nearest neighbours alone, + % and represent this as a 1-of-N coded matrix, and then accumulate the + % predictions so far. + + y = y + net.tr_targets(kind(k,:),:); + +end + +if nargout == 2 + % Convert this set of outputs to labels, randomly breaking ties + [temp, l] = max((y + 0.1*rand(size(y))), [], 2); +end \ No newline at end of file diff --git a/sourcecodes/bnt-master/netlab3.3/linef.m b/sourcecodes/bnt-master/netlab3.3/linef.m new file mode 100644 index 00000000..4f0ddd32 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/linef.m @@ -0,0 +1,21 @@ +function y = linef(lambda, fn, x, d, varargin) +%LINEF Calculate function value along a line. +% +% Description +% LINEF(LAMBDA, FN, X, D) calculates the value of the function FN at +% the point X+LAMBDA*D. Here X is a row vector and LAMBDA is a scalar. +% +% LINEF(LAMBDA, FN, X, D, P1, P2, ...) allows additional arguments to +% be passed to FN(). This function is used for convenience in some of +% the optimisation routines. +% +% See also +% GRADCHEK, LINEMIN +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check function string +fn = fcnchk(fn, length(varargin)); + +y = feval(fn, x+lambda.*d, varargin{:}); diff --git a/sourcecodes/bnt-master/netlab3.3/linemin.m b/sourcecodes/bnt-master/netlab3.3/linemin.m new file mode 100644 index 00000000..8e390a43 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/linemin.m @@ -0,0 +1,152 @@ +function [x, options] = linemin(f, pt, dir, fpt, options, ... + varargin) +%LINEMIN One dimensional minimization. +% +% Description +% [X, OPTIONS] = LINEMIN(F, PT, DIR, FPT, OPTIONS) uses Brent's +% algorithm to find the minimum of the function F(X) along the line DIR +% through the point PT. The function value at the starting point is +% FPT. The point at which F has a local minimum is returned as X. The +% function value at that point is returned in OPTIONS(8). +% +% LINEMIN(F, PT, DIR, FPT, OPTIONS, P1, P2, ...) allows additional +% arguments to be passed to F(). +% +% The optional parameters have the following interpretations. +% +% OPTIONS(1) is set to 1 to display error values. +% +% OPTIONS(2) is a measure of the absolute precision required for the +% value of X at the solution. +% +% OPTIONS(3) is a measure of the precision required of the objective +% function at the solution. Both this and the previous condition must +% be satisfied for termination. +% +% OPTIONS(14) is the maximum number of iterations; default 100. +% +% See also +% CONJGRAD, MINBRACK, QUASINEW +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Set up the options. +if(options(14)) + niters = options(14); +else + niters = 100; +end +options(10) = 0; % Initialise count of function evaluations + +display = options(1); + +% Check function string +f = fcnchk(f, length(varargin)); + +% Value of golden section (1 + sqrt(5))/2.0 +phi = 1.6180339887499; +cphi = 1 - 1/phi; +TOL = sqrt(eps); % Maximal fractional precision +TINY = 1.0e-10; % Can't use fractional precision when minimum is at 0 + +% Bracket the minimum +[br_min, br_mid, br_max, num_evals] = feval('minbrack', 'linef', ... + 0.0, 1.0, fpt, f, pt, dir, varargin{:}); +options(10) = options(10) + num_evals; % Increment number of fn. evals + % No gradient evals in minbrack + +% Use Brent's algorithm to find minimum +% Initialise the points and function values +w = br_mid; % Where second from minimum is +v = br_mid; % Previous value of w +x = v; % Where current minimum is +e = 0.0; % Distance moved on step before last +fx = feval('linef', x, f, pt, dir, varargin{:}); +options(10) = options(10) + 1; +fv = fx; fw = fx; + +for n = 1:niters + xm = 0.5.*(br_min+br_max); % Middle of bracket + % Make sure that tolerance is big enough + tol1 = TOL * (max(abs(x))) + TINY; + % Decide termination on absolute precision required by options(2) + if (max(abs(x - xm)) <= options(2) & br_max-br_min < 4*options(2)) + options(8) = fx; + return; + end + % Check if step before last was big enough to try a parabolic step. + % Note that this will fail on first iteration, which must be a golden + % section step. + if (max(abs(e)) > tol1) + % Construct a trial parabolic fit through x, v and w + r = (fx - fv) .* (x - w); + q = (fx - fw) .* (x - v); + p = (x - v).*q - (x - w).*r; + q = 2.0 .* (q - r); + if (q > 0.0) p = -p; end + q = abs(q); + % Test if the parabolic fit is OK + if (abs(p) >= abs(0.5*q*e) | p <= q*(br_min-x) | p >= q*(br_max-x)) + % No it isn't, so take a golden section step + if (x >= xm) + e = br_min-x; + else + e = br_max-x; + end + d = cphi*e; + else + % Yes it is, so take the parabolic step + e = d; + d = p/q; + u = x+d; + if (u-br_min < 2*tol1 | br_max-u < 2*tol1) + d = sign(xm-x)*tol1; + end + end + else + % Step before last not big enough, so take a golden section step + if (x >= xm) + e = br_min - x; + else + e = br_max - x; + end + d = cphi*e; + end + % Make sure that step is big enough + if (abs(d) >= tol1) + u = x+d; + else + u = x + sign(d)*tol1; + end + % Evaluate function at u + fu = feval('linef', u, f, pt, dir, varargin{:}); + options(10) = options(10) + 1; + % Reorganise bracket + if (fu <= fx) + if (u >= x) + br_min = x; + else + br_max = x; + end + v = w; w = x; x = u; + fv = fw; fw = fx; fx = fu; + else + if (u < x) + br_min = u; + else + br_max = u; + end + if (fu <= fw | w == x) + v = w; w = u; + fv = fw; fw = fu; + elseif (fu <= fv | v == x | v == w) + v = u; + fv = fu; + end + end + if (display == 1) + fprintf(1, 'Cycle %4d Error %11.6f\n', n, fx); + end +end +options(8) = fx; diff --git a/sourcecodes/bnt-master/netlab3.3/maxitmess.m b/sourcecodes/bnt-master/netlab3.3/maxitmess.m new file mode 100644 index 00000000..338be6d7 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/maxitmess.m @@ -0,0 +1,16 @@ +function s = maxitmess() +%MAXITMESS Create a standard error message when training reaches max. iterations. +% +% Description +% S = MAXITMESS returns a standard string that it used by training +% algorithms when the maximum number of iterations (as specified in +% OPTIONS(14) is reached. +% +% See also +% CONJGRAD, GLMTRAIN, GMMEM, GRADDESC, GTMEM, KMEANS, OLGD, QUASINEW, SCG +% + +% Copyright (c) Ian T Nabney (1996-2001) + +s = 'Maximum number of iterations has been exceeded'; + diff --git a/sourcecodes/bnt-master/netlab3.3/mdn.m b/sourcecodes/bnt-master/netlab3.3/mdn.m new file mode 100644 index 00000000..964baa1d --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdn.m @@ -0,0 +1,77 @@ +function net = mdn(nin, nhidden, ncentres, dim_target, mix_type, ... + prior, beta) +%MDN Creates a Mixture Density Network with specified architecture. +% +% Description +% NET = MDN(NIN, NHIDDEN, NCENTRES, DIMTARGET) takes the number of +% inputs, hidden units for a 2-layer feed-forward network and the +% number of centres and target dimension for the mixture model whose +% parameters are set from the outputs of the neural network. The fifth +% argument MIXTYPE is used to define the type of mixture model. +% (Currently there is only one type supported: a mixture of Gaussians +% with a single covariance parameter for each component.) For this +% model, the mixture coefficients are computed from a group of softmax +% outputs, the centres are equal to a group of linear outputs, and the +% variances are obtained by applying the exponential function to a +% third group of outputs. +% +% The network is initialised by a call to MLP, and the arguments PRIOR, +% and BETA have the same role as for that function. Weight +% initialisation uses the Matlab function RANDN and so the seed for +% the random weight initialization can be set using RANDN('STATE', S) +% where S is the seed value. A specialised data structure (rather than +% GMM) is used for the mixture model outputs to improve the efficiency +% of error and gradient calculations in network training. The fields +% are described in MDNFWD where they are set up. +% +% The fields in NET are +% +% type = 'mdn' +% nin = number of input variables +% nout = dimension of target space (not number of network outputs) +% nwts = total number of weights and biases +% mdnmixes = data structure for mixture model output +% mlp = data structure for MLP network +% +% See also +% MDNFWD, MDNERR, MDN2GMM, MDNGRAD, MDNPAK, MDNUNPAK, MLP +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Currently ignore type argument: reserved for future use +net.type = 'mdn'; + +% Set up the mixture model part of the structure +% For efficiency we use a specialised data structure in place of GMM +mdnmixes.type = 'mdnmixes'; +mdnmixes.ncentres = ncentres; +mdnmixes.dim_target = dim_target; + +% This calculation depends on spherical variances +mdnmixes.nparams = ncentres + ncentres*dim_target + ncentres; + +% Make the weights in the mdnmixes structure null +mdnmixes.mixcoeffs = []; +mdnmixes.centres = []; +mdnmixes.covars = []; + +% Number of output nodes = number of parameters in mixture model +nout = mdnmixes.nparams; + +% Set up the MLP part of the network +if (nargin == 5) + mlpnet = mlp(nin, nhidden, nout, 'linear'); +elseif (nargin == 6) + mlpnet = mlp(nin, nhidden, nout, 'linear', prior); +elseif (nargin == 7) + mlpnet = mlp(nin, nhidden, nout, 'linear', prior, beta); +end + +% Create descriptor +net.mdnmixes = mdnmixes; +net.mlp = mlpnet; +net.nin = nin; +net.nout = dim_target; +net.nwts = mlpnet.nwts; diff --git a/sourcecodes/bnt-master/netlab3.3/mdn2gmm.m b/sourcecodes/bnt-master/netlab3.3/mdn2gmm.m new file mode 100644 index 00000000..bad5ed9f --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdn2gmm.m @@ -0,0 +1,41 @@ +function gmmmixes = mdn2gmm(mdnmixes) +%MDN2GMM Converts an MDN mixture data structure to array of GMMs. +% +% Description +% GMMMIXES = MDN2GMM(MDNMIXES) takes an MDN mixture data structure +% MDNMIXES containing three matrices (for priors, centres and +% variances) where each row represents the corresponding parameter +% values for a different mixture model and creates an array of GMMs. +% These can then be used with the standard Netlab Gaussian mixture +% model functions. +% +% See also +% GMM, MDN, MDNFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check argument for consistency +errstring = consist(mdnmixes, 'mdnmixes'); +if ~isempty(errstring) + error(errstring); +end + +nmixes = size(mdnmixes.centres, 1); +% Construct ndata structures containing the mixture model information. +% First allocate the memory. +tempmix = gmm(mdnmixes.dim_target, mdnmixes.ncentres, 'spherical'); +f = fieldnames(tempmix); +gmmmixes = cell(size(f, 1), 1, nmixes); +gmmmixes = cell2struct(gmmmixes, f,1); + +% Then fill each structure in turn using gmmunpak. Assume that spherical +% covariance structure is used. +for i = 1:nmixes + centres = reshape(mdnmixes.centres(i, :), mdnmixes.dim_target, ... + mdnmixes.ncentres)'; + gmmmixes(i) = gmmunpak(tempmix, [mdnmixes.mixcoeffs(i,:), ... + centres(:)', mdnmixes.covars(i,:)]); +end + diff --git a/sourcecodes/bnt-master/netlab3.3/mdndist2.m b/sourcecodes/bnt-master/netlab3.3/mdndist2.m new file mode 100644 index 00000000..d7ed93d3 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdndist2.m @@ -0,0 +1,51 @@ +function n2 = mdndist2(mixparams, t) +%MDNDIST2 Calculates squared distance between centres of Gaussian kernels and data +% +% Description +% N2 = MDNDIST2(MIXPARAMS, T) takes takes the centres of the Gaussian +% contained in MIXPARAMS and the target data matrix, T, and computes +% the squared Euclidean distance between them. If T has M rows and N +% columns, then the CENTRES field in the MIXPARAMS structure should +% have M rows and N*MIXPARAMS.NCENTRES columns: the centres in each row +% relate to the corresponding row in T. The result has M rows and +% MIXPARAMS.NCENTRES columns. The I, Jth entry is the squared distance +% from the Ith row of X to the Jth centre in the Ith row of +% MIXPARAMS.CENTRES. +% +% See also +% MDNFWD, MDNPROB +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check arguments for consistency +errstring = consist(mixparams, 'mdnmixes'); +if ~isempty(errstring) + error(errstring); +end + +ncentres = mixparams.ncentres; +dim_target = mixparams.dim_target; +ntarget = size(t, 1); +if ntarget ~= size(mixparams.centres, 1) + error('Number of targets does not match number of mixtures') +end +if size(t, 2) ~= mixparams.dim_target + error('Target dimension does not match mixture dimension') +end + +% Build t that suits parameters, that is repeat t for each centre +t = kron(ones(1, ncentres), t); + +% Do subtraction and square +diff2 = (t - mixparams.centres).^2; + +% Reshape and sum each component +diff2 = reshape(diff2', dim_target, (ntarget*ncentres))'; +n2 = sum(diff2, 2); + +% Calculate the sum of distance, and reshape +% so that we have a distance for each centre per target +n2 = reshape(n2, ncentres, ntarget)'; + diff --git a/sourcecodes/bnt-master/netlab3.3/mdnerr.m b/sourcecodes/bnt-master/netlab3.3/mdnerr.m new file mode 100644 index 00000000..a0b686e0 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnerr.m @@ -0,0 +1,33 @@ +function e = mdnerr(net, x, t) +%MDNERR Evaluate error function for Mixture Density Network. +% +% Description +% E = MDNERR(NET, X, T) takes a mixture density network data structure +% NET, a matrix X of input vectors and a matrix T of target vectors, +% and evaluates the error function E. The error function is the +% negative log likelihood of the target data under the conditional +% density given by the mixture model parameterised by the MLP. Each +% row of X corresponds to one input vector and each row of T +% corresponds to one target vector. +% +% See also +% MDN, MDNFWD, MDNGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check arguments for consistency +errstring = consist(net, 'mdn', x, t); +if ~isempty(errstring) + error(errstring); +end + +% Get the output mixture models +mixparams = mdnfwd(net, x); + +% Compute the probabilities of mixtures +probs = mdnprob(mixparams, t); +% Compute the error +e = sum( -log(max(eps, sum(probs, 2)))); + diff --git a/sourcecodes/bnt-master/netlab3.3/mdnfwd.m b/sourcecodes/bnt-master/netlab3.3/mdnfwd.m new file mode 100644 index 00000000..962fbe08 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnfwd.m @@ -0,0 +1,93 @@ +function [mixparams, y, z, a] = mdnfwd(net, x) +%MDNFWD Forward propagation through Mixture Density Network. +% +% Description +% MIXPARAMS = MDNFWD(NET, X) takes a mixture density network data +% structure NET and a matrix X of input vectors, and forward propagates +% the inputs through the network to generate a structure MIXPARAMS +% which contains the parameters of several mixture models. Each row +% of X represents one input vector and the corresponding row of the +% matrices in MIXPARAMS represents the parameters of a mixture model +% for the conditional probability of target vectors given the input +% vector. This is not represented as an array of GMM structures to +% improve the efficiency of MDN training. +% +% The fields in MIXPARAMS are +% type = 'mdnmixes' +% ncentres = number of mixture components +% dimtarget = dimension of target space +% mixcoeffs = mixing coefficients +% centres = means of Gaussians: stored as one row per pattern +% covars = covariances of Gaussians +% nparams = number of parameters +% +% [MIXPARAMS, Y, Z] = MDNFWD(NET, X) also generates a matrix Y of the +% outputs of the MLP and a matrix Z of the hidden unit activations +% where each row corresponds to one pattern. +% +% [MIXPARAMS, Y, Z, A] = MLPFWD(NET, X) also returns a matrix A giving +% the summed inputs to each output unit, where each row corresponds to +% one pattern. +% +% See also +% MDN, MDN2GMM, MDNERR, MDNGRAD, MLPFWD +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check arguments for consistency +errstring = consist(net, 'mdn', x); +if ~isempty(errstring) + error(errstring); +end + +% Extract mlp and mixture model descriptors +mlpnet = net.mlp; +mixes = net.mdnmixes; + +ncentres = mixes.ncentres; % Number of components in mixture model +dim_target = mixes.dim_target; % Dimension of targets +nparams = mixes.nparams; % Number of parameters in mixture model + +% Propagate forwards through MLP +[y, z, a] = mlpfwd(mlpnet, x); + +% Compute the postion for each parameter in the whole +% matrix. Used to define the mixparams structure +mixcoeff = [1:1:ncentres]; +centres = [ncentres+1:1:(ncentres*(1+dim_target))]; +variances = [(ncentres*(1+dim_target)+1):1:nparams]; + +% Convert output values into mixture model parameters + +% Use softmax to calculate priors +% Prevent overflow and underflow: use same bounds as glmfwd +% Ensure that sum(exp(y), 2) does not overflow +maxcut = log(realmax) - log(ncentres); +% Ensure that exp(y) > 0 +mincut = log(realmin); +temp = min(y(:,1:ncentres), maxcut); +temp = max(temp, mincut); +temp = exp(temp); +mixpriors = temp./(sum(temp, 2)*ones(1,ncentres)); + +% Centres are just copies of network outputs +mixcentres = y(:,(ncentres+1):ncentres*(1+dim_target)); + +% Variances are exp of network outputs +mixwidths = exp(y(:,(ncentres*(1+dim_target)+1):nparams)); + +% Now build up all the mixture model weight vectors +ndata = size(x, 1); + +% Return parameters +mixparams.type = mixes.type; +mixparams.ncentres = mixes.ncentres; +mixparams.dim_target = mixes.dim_target; +mixparams.nparams = mixes.nparams; + +mixparams.mixcoeffs = mixpriors; +mixparams.centres = mixcentres; +mixparams.covars = mixwidths; + diff --git a/sourcecodes/bnt-master/netlab3.3/mdngrad.m b/sourcecodes/bnt-master/netlab3.3/mdngrad.m new file mode 100644 index 00000000..6a0b6ea8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdngrad.m @@ -0,0 +1,66 @@ +function g = mdngrad(net, x, t) +%MDNGRAD Evaluate gradient of error function for Mixture Density Network. +% +% Description +% G = MDNGRAD(NET, X, T) takes a mixture density network data +% structure NET, a matrix X of input vectors and a matrix T of target +% vectors, and evaluates the gradient G of the error function with +% respect to the network weights. The error function is negative log +% likelihood of the target data. Each row of X corresponds to one +% input vector and each row of T corresponds to one target vector. +% +% See also +% MDN, MDNFWD, MDNERR, MDNPROB, MLPBKP +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check arguments for consistency +errstring = consist(net, 'mdn', x, t); +if ~isempty(errstring) + error(errstring); +end + +[mixparams, y, z] = mdnfwd(net, x); + +% Compute gradients at MLP outputs: put the answer in deltas +ncentres = net.mdnmixes.ncentres; +dim_target = net.mdnmixes.dim_target; +nmixparams = net.mdnmixes.nparams; +ntarget = size(t, 1); +deltas = zeros(ntarget, net.mlp.nout); +e = ones(ncentres, 1); +f = ones(1, dim_target); + +post = mdnpost(mixparams, t); + +% Calculate prior derivatives +deltas(:,1:ncentres) = mixparams.mixcoeffs - post; + +% Calculate centre derivatives +long_t = kron(ones(1, ncentres), t); +centre_err = mixparams.centres - long_t; + +% Get the post to match each u_jk: +% this array will be (ntarget, (ncentres*dim_target)) +long_post = kron(ones(dim_target, 1), post); +long_post = reshape(long_post, ntarget, (ncentres*dim_target)); + +% Get the variance to match each u_jk: +var = mixparams.covars; +var = kron(ones(dim_target, 1), var); +var = reshape(var, ntarget, (ncentres*dim_target)); + +% Compute centre deltas +deltas(:, (ncentres+1):(ncentres*(1+dim_target))) = ... + (centre_err.*long_post)./var; + +% Compute variance deltas +dist2 = mdndist2(mixparams, t); +c = dim_target*ones(ntarget, ncentres); +deltas(:, (ncentres*(1+dim_target)+1):nmixparams) = ... + post.*((dist2./mixparams.covars)-c)./(-2); + +% Now back-propagate deltas through MLP +g = mlpbkp(net.mlp, x, z, deltas); diff --git a/sourcecodes/bnt-master/netlab3.3/mdninit.m b/sourcecodes/bnt-master/netlab3.3/mdninit.m new file mode 100644 index 00000000..20f23d0e --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdninit.m @@ -0,0 +1,53 @@ +function net = mdninit(net, prior, t, options) +%MDNINIT Initialise the weights in a Mixture Density Network. +% +% Description +% +% NET = MDNINIT(NET, PRIOR) takes a Mixture Density Network NET and +% sets the weights and biases by sampling from a Gaussian distribution. +% It calls MLPINIT for the MLP component of NET. +% +% NET = MDNINIT(NET, PRIOR, T, OPTIONS) uses the target data T to +% initialise the biases for the output units after initialising the +% other weights as above. It calls GMMINIT, with T and OPTIONS as +% arguments, to obtain a model of the unconditional density of T. The +% biases are then set so that NET will output the values in the +% Gaussian mixture model. +% +% See also +% MDN, MLP, MLPINIT, GMMINIT +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Initialise network weights from prior: this gives noise around values +% determined later +net.mlp = mlpinit(net.mlp, prior); + +if nargin > 2 + % Initialise priors, centres and variances from target data + temp_mix = gmm(net.mdnmixes.dim_target, net.mdnmixes.ncentres, 'spherical'); + temp_mix = gmminit(temp_mix, t, options); + + ncentres = net.mdnmixes.ncentres; + dim_target = net.mdnmixes.dim_target; + + % Now set parameters in MLP to yield the right values. + % This involves setting the biases correctly. + + % Priors + net.mlp.b2(1:ncentres) = temp_mix.priors; + + % Centres are arranged in mlp such that we have + % u11, u12, u13, ..., u1c, ... , uj1, uj2, uj3, ..., ujc, ..., um1, uM2, + % ..., uMc + % This is achieved by transposing temp_mix.centres before reshaping + end_centres = ncentres*(dim_target+1); + net.mlp.b2(ncentres+1:end_centres) = ... + reshape(temp_mix.centres', 1, ncentres*dim_target); + + % Variances + net.mlp.b2((end_centres+1):net.mlp.nout) = ... + log(temp_mix.covars); +end diff --git a/sourcecodes/bnt-master/netlab3.3/mdnnet.mat b/sourcecodes/bnt-master/netlab3.3/mdnnet.mat new file mode 100644 index 00000000..724f8d43 Binary files /dev/null and b/sourcecodes/bnt-master/netlab3.3/mdnnet.mat differ diff --git a/sourcecodes/bnt-master/netlab3.3/mdnpak.m b/sourcecodes/bnt-master/netlab3.3/mdnpak.m new file mode 100644 index 00000000..47da11a6 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnpak.m @@ -0,0 +1,19 @@ +function w = mdnpak(net) +%MDNPAK Combines weights and biases into one weights vector. +% +% Description +% W = MDNPAK(NET) takes a mixture density network data structure NET +% and combines the network weights into a single row vector W. +% +% See also +% MDN, MDNUNPAK, MDNFWD, MDNERR, MDNGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +errstring = consist(net, 'mdn'); +if ~errstring + error(errstring); +end +w = mlppak(net.mlp); diff --git a/sourcecodes/bnt-master/netlab3.3/mdnpost.m b/sourcecodes/bnt-master/netlab3.3/mdnpost.m new file mode 100644 index 00000000..2a27849e --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnpost.m @@ -0,0 +1,26 @@ +function [post, a] = mdnpost(mixparams, t) +%MDNPOST Computes the posterior probability for each MDN mixture component. +% +% Description +% POST = MDNPOST(MIXPARAMS, T) computes the posterior probability +% P(J|T) of each data vector in T under the Gaussian mixture model +% represented by the corresponding entries in MIXPARAMS. Each row of T +% represents a single vector. +% +% [POST, A] = MDNPOST(MIXPARAMS, T) also computes the activations A +% (i.e. the probability P(T|J) of the data conditioned on each +% component density) for a Gaussian mixture model. +% +% See also +% MDNGRAD, MDNPROB +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +[prob a] = mdnprob(mixparams, t); + +s = sum(prob, 2); +% Set any zeros to one before dividing +s = s + (s==0); +post = prob./(s*ones(1, mixparams.ncentres)); diff --git a/sourcecodes/bnt-master/netlab3.3/mdnprob.m b/sourcecodes/bnt-master/netlab3.3/mdnprob.m new file mode 100644 index 00000000..3c828eac --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnprob.m @@ -0,0 +1,52 @@ +function [prob,a] = mdnprob(mixparams, t) +%MDNPROB Computes the data probability likelihood for an MDN mixture structure. +% +% Description +% PROB = MDNPROB(MIXPARAMS, T) computes the probability P(T) of each +% data vector in T under the Gaussian mixture model represented by the +% corresponding entries in MIXPARAMS. Each row of T represents a single +% vector. +% +% [PROB, A] = MDNPROB(MIXPARAMS, T) also computes the activations A +% (i.e. the probability P(T|J) of the data conditioned on each +% component density) for a Gaussian mixture model. +% +% See also +% MDNERR, MDNPOST +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +% Check arguments for consistency +errstring = consist(mixparams, 'mdnmixes'); +if ~isempty(errstring) + error(errstring); +end + +ntarget = size(t, 1); +if ntarget ~= size(mixparams.centres, 1) + error('Number of targets does not match number of mixtures') +end +if size(t, 2) ~= mixparams.dim_target + error('Target dimension does not match mixture dimension') +end + +dim_target = mixparams.dim_target; +ntarget = size(t, 1); + +% Calculate squared norm matrix, of dimension (ndata, ncentres) +% vector (ntarget * ncentres) +dist2 = mdndist2(mixparams, t); + +% Calculate variance factors +variance = 2.*mixparams.covars; + +% Compute the normalisation term +normal = ((2.*pi).*mixparams.covars).^(dim_target./2); + +% Now compute the activations +a = exp(-(dist2./variance))./normal; + +% Accumulate negative log likelihood of targets +prob = mixparams.mixcoeffs.*a; diff --git a/sourcecodes/bnt-master/netlab3.3/mdnunpak.m b/sourcecodes/bnt-master/netlab3.3/mdnunpak.m new file mode 100644 index 00000000..0b88cb7a --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mdnunpak.m @@ -0,0 +1,25 @@ +function net = mdnunpak(net, w) +%MDNUNPAK Separates weights vector into weight and bias matrices. +% +% Description +% NET = MDNUNPAK(NET, W) takes an mdn network data structure NET and a +% weight vector W, and returns a network data structure identical to +% the input network, except that the weights in the MLP sub-structure +% are set to the corresponding elements of W. +% +% See also +% MDN, MDNPAK, MDNFWD, MDNERR, MDNGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) +% David J Evans (1998) + +errstring = consist(net, 'mdn'); +if ~errstring + error(errstring); +end +if net.nwts ~= length(w) + error('Invalid weight vector length') +end + +net.mlp = mlpunpak(net.mlp, w); diff --git a/sourcecodes/bnt-master/netlab3.3/metrop.m b/sourcecodes/bnt-master/netlab3.3/metrop.m new file mode 100644 index 00000000..730afc6b --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/metrop.m @@ -0,0 +1,193 @@ +function [samples, energies, diagn] = metrop(f, x, options, gradf, varargin) +%METROP Markov Chain Monte Carlo sampling with Metropolis algorithm. +% +% Description +% SAMPLES = METROP(F, X, OPTIONS) uses the Metropolis algorithm to +% sample from the distribution P ~ EXP(-F), where F is the first +% argument to METROP. The Markov chain starts at the point X and each +% candidate state is picked from a Gaussian proposal distribution and +% accepted or rejected according to the Metropolis criterion. +% +% SAMPLES = METROP(F, X, OPTIONS, [], P1, P2, ...) allows additional +% arguments to be passed to F(). The fourth argument is ignored, but +% is included for compatibility with HMC and the optimisers. +% +% [SAMPLES, ENERGIES, DIAGN] = METROP(F, X, OPTIONS) also returns a log +% of the energy values (i.e. negative log probabilities) for the +% samples in ENERGIES and DIAGN, a structure containing diagnostic +% information (position and acceptance threshold) for each step of the +% chain in DIAGN.POS and DIAGN.ACC respectively. All candidate states +% (including rejected ones) are stored in DIAGN.POS. +% +% S = METROP('STATE') returns a state structure that contains the state +% of the two random number generators RAND and RANDN. These are +% contained in fields randstate, randnstate. +% +% METROP('STATE', S) resets the state to S. If S is an integer, then +% it is passed to RAND and RANDN. If S is a structure returned by +% METROP('STATE') then it resets the generator to exactly the same +% state. +% +% The optional parameters in the OPTIONS vector have the following +% interpretations. +% +% OPTIONS(1) is set to 1 to display the energy values and rejection +% threshold at each step of the Markov chain. If the value is 2, then +% the position vectors at each step are also displayed. +% +% OPTIONS(14) is the number of samples retained from the Markov chain; +% default 100. +% +% OPTIONS(15) is the number of samples omitted from the start of the +% chain; default 0. +% +% OPTIONS(18) is the variance of the proposal distribution; default 1. +% +% See also +% HMC +% + +% Copyright (c) Ian T Nabney (1996-2001) + +if nargin <= 2 + if ~strcmp(f, 'state') + error('Unknown argument to metrop'); + end + switch nargin + case 1 + % Return state of sampler + samples = get_state(f); % Function defined in this module + return; + case 2 + % Set the state of the sampler + set_state(f, x); % Function defined in this module + return; + end +end + +if 0 +seed = 42; +randn('state', seed); +rand('state', seed) +end + +display = options(1); +if options(14) > 0 + nsamples = options(14); +else + nsamples = 100; +end +if options(15) >= 0 + nomit = options(15); +else + nomit = 0; +end +if options(18) > 0.0 + std_dev = sqrt(options(18)); +else + std_dev = 1.0; % default +end +nparams = length(x); + +% Set up string for evaluating potential function. +f = fcnchk(f, length(varargin)); + +samples = zeros(nsamples, nparams); % Matrix of returned samples. +if nargout >= 2 + en_save = 1; + energies = zeros(nsamples, 1); +else + en_save = 0; +end +if nargout >= 3 + diagnostics = 1; + diagn_pos = zeros(nsamples, nparams); + diagn_acc = zeros(nsamples, 1); +else + diagnostics = 0; +end + +% Main loop. +n = - nomit + 1; +Eold = feval(f, x, varargin{:}); % Evaluate starting energy. +nreject = 0; % Initialise count of rejected states. +while n <= nsamples + + xold = x; + % Sample a new point from the proposal distribution + x = xold + randn(1, nparams)*std_dev; + %fprintf('netlab propose: xold = %5.3f,%5.3f, xnew = %5.3f,%5.3f\n',... + % xold(1), xold(2), x(1), x(2)); + + % Now apply Metropolis algorithm. + Enew = feval(f, x, varargin{:}); % Evaluate new energy. + a = exp(Eold - Enew); % Acceptance threshold. + if (diagnostics & n > 0) + diagn_pos(n,:) = x; + diagn_acc(n,:) = a; + end + if (display > 1) + fprintf(1, 'New position is\n'); + disp(x); + end + + r = rand(1); + %fprintf('netlab: n=%d, a=%f/%f=%5.3f (%5.3f), r=%5.3f\n',... + % n, exp(-Enew), exp(-Eold), a, exp(-Enew)/exp(-Eold), r); + if a > r % Accept the new state. + Eold = Enew; + if (display > 0) + fprintf(1, 'Finished step %4d Threshold: %g\n', n, a); + end + else % Reject the new state + if n > 0 + nreject = nreject + 1; + end + x = xold; % Reset position + if (display > 0) + fprintf(1, ' Sample rejected %4d. Threshold: %g\n', n, a); + end + end + if n > 0 + samples(n,:) = x; % Store sample. + if en_save + energies(n) = Eold; % Store energy. + end + end + n = n + 1; +end + +if (display > 0) + fprintf(1, '\nFraction of samples rejected: %g\n', ... + nreject/(nsamples)); +end + +if diagnostics + diagn.pos = diagn_pos; + diagn.acc = diagn_acc; +end + +% Return complete state of the sampler. +function state = get_state(f) + +state.randstate = rand('state'); +state.randnstate = randn('state'); +return + +% Set state of sampler, either from full state, or with an integer +function set_state(f, x) + +if isnumeric(x) + rand('state', x); + randn('state', x); +else + if ~isstruct(x) + error('Second argument to metrop must be number or state structure'); + end + if (~isfield(x, 'randstate') | ~isfield(x, 'randnstate')) + error('Second argument to metrop must contain correct fields') + end + rand('state', x.randstate); + randn('state', x.randnstate); +end +return diff --git a/sourcecodes/bnt-master/netlab3.3/minbrack.m b/sourcecodes/bnt-master/netlab3.3/minbrack.m new file mode 100644 index 00000000..31b93c42 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/minbrack.m @@ -0,0 +1,127 @@ +function [br_min, br_mid, br_max, num_evals] = minbrack(f, a, b, fa, ... + varargin) +%MINBRACK Bracket a minimum of a function of one variable. +% +% Description +% BRMIN, BRMID, BRMAX, NUMEVALS] = MINBRACK(F, A, B, FA) finds a +% bracket of three points around a local minimum of F. The function F +% must have a one dimensional domain. A < B is an initial guess at the +% minimum and maximum points of a bracket, but MINBRACK will search +% outside this interval if necessary. The bracket consists of three +% points (in increasing order) such that F(BRMID) < F(BRMIN) and +% F(BRMID) < F(BRMAX). FA is the value of the function at A: it is +% included to avoid unnecessary function evaluations in the +% optimization routines. The return value NUMEVALS is the number of +% function evaluations in MINBRACK. +% +% MINBRACK(F, A, B, FA, P1, P2, ...) allows additional arguments to be +% passed to F +% +% See also +% LINEMIN, LINEF +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check function string +f = fcnchk(f, length(varargin)); + +% Value of golden section (1 + sqrt(5))/2.0 +phi = 1.6180339887499; + +% Initialise count of number of function evaluations +num_evals = 0; + +% A small non-zero number to avoid dividing by zero in quadratic interpolation +TINY = 1.e-10; + +% Maximal proportional step to take: don't want to make this too big +% as then spend a lot of time finding the minimum inside the bracket +max_step = 10.0; + +fb = feval(f, b, varargin{:}); +num_evals = num_evals + 1; + +% Assume that we know going from a to b is downhill initially +% (usually because gradf(a) < 0). +if (fb > fa) + % Minimum must lie between a and b: do golden section until we find point + % low enough to be middle of bracket + c = b; + b = a + (c-a)/phi; + fb = feval(f, b, varargin{:}); + num_evals = num_evals + 1; + while (fb > fa) + c = b; + b = a + (c-a)/phi; + fb = feval(f, b, varargin{:}); + num_evals = num_evals + 1; + end +else + % There is a valid bracket upper bound greater than b + c = b + phi*(b-a); + fc = feval(f, c, varargin{:}); + num_evals = num_evals + 1; + bracket_found = 0; + + while (fb > fc) + % Do a quadratic interpolation (i.e. to minimum of quadratic) + r = (b-a).*(fb-fc); + q = (b-c).*(fb-fa); + u = b - ((b-c)*q - (b-a)*r)/(2.0*(sign(q-r)*max([abs(q-r), TINY]))); + ulimit = b + max_step*(c-b); + + if ((b-u)'*(u-c) > 0.0) + % Interpolant lies between b and c + fu = feval(f, u, varargin{:}); + num_evals = num_evals + 1; + if (fu < fc) + % Have a minimum between b and c + br_min = b; + br_mid = u; + br_max = c; + return; + elseif (fu > fb) + % Have a minimum between a and u + br_min = a; + br_mid = c; + br_max = u; + return; + end + % Quadratic interpolation didn't give a bracket, so take a golden step + u = c + phi*(c-b); + elseif ((c-u)'*(u-ulimit) > 0.0) + % Interpolant lies between c and limit + fu = feval(f, u, varargin{:}); + num_evals = num_evals + 1; + if (fu < fc) + % Move bracket along, and then take a golden section step + b = c; + c = u; + u = c + phi*(c-b); + else + bracket_found = 1; + end + elseif ((u-ulimit)'*(ulimit-c) >= 0.0) + % Limit parabolic u to maximum value + u = ulimit; + else + % Reject parabolic u and use golden section step + u = c + phi*(c-b); + end + if ~bracket_found + fu = feval(f, u, varargin{:}); + num_evals = num_evals + 1; + end + a = b; b = c; c = u; + fa = fb; fb = fc; fc = fu; + end % while loop +end % bracket found +br_mid = b; +if (a < c) + br_min = a; + br_max = c; +else + br_min = c; + br_max = a; +end diff --git a/sourcecodes/bnt-master/netlab3.3/mlp.m b/sourcecodes/bnt-master/netlab3.3/mlp.m new file mode 100644 index 00000000..d1dc1cf1 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mlp.m @@ -0,0 +1,92 @@ +function net = mlp(nin, nhidden, nout, outfunc, prior, beta) +%MLP Create a 2-layer feedforward network. +% +% Description +% NET = MLP(NIN, NHIDDEN, NOUT, FUNC) takes the number of inputs, +% hidden units and output units for a 2-layer feed-forward network, +% together with a string FUNC which specifies the output unit +% activation function, and returns a data structure NET. The weights +% are drawn from a zero mean, unit variance isotropic Gaussian, with +% varianced scaled by the fan-in of the hidden or output units as +% appropriate. This makes use of the Matlab function RANDN and so the +% seed for the random weight initialization can be set using +% RANDN('STATE', S) where S is the seed value. The hidden units use +% the TANH activation function. +% +% The fields in NET are +% type = 'mlp' +% nin = number of inputs +% nhidden = number of hidden units +% nout = number of outputs +% nwts = total number of weights and biases +% actfn = string describing the output unit activation function: +% 'linear' +% 'logistic +% 'softmax' +% w1 = first-layer weight matrix +% b1 = first-layer bias vector +% w2 = second-layer weight matrix +% b2 = second-layer bias vector +% Here W1 has dimensions NIN times NHIDDEN, B1 has dimensions 1 times +% NHIDDEN, W2 has dimensions NHIDDEN times NOUT, and B2 has dimensions +% 1 times NOUT. +% +% NET = MLP(NIN, NHIDDEN, NOUT, FUNC, PRIOR), in which PRIOR is a +% scalar, allows the field NET.ALPHA in the data structure NET to be +% set, corresponding to a zero-mean isotropic Gaussian prior with +% inverse variance with value PRIOR. Alternatively, PRIOR can consist +% of a data structure with fields ALPHA and INDEX, allowing individual +% Gaussian priors to be set over groups of weights in the network. Here +% ALPHA is a column vector in which each element corresponds to a +% separate group of weights, which need not be mutually exclusive. The +% membership of the groups is defined by the matrix INDX in which the +% columns correspond to the elements of ALPHA. Each column has one +% element for each weight in the matrix, in the order defined by the +% function MLPPAK, and each element is 1 or 0 according to whether the +% weight is a member of the corresponding group or not. A utility +% function MLPPRIOR is provided to help in setting up the PRIOR data +% structure. +% +% NET = MLP(NIN, NHIDDEN, NOUT, FUNC, PRIOR, BETA) also sets the +% additional field NET.BETA in the data structure NET, where beta +% corresponds to the inverse noise variance. +% +% See also +% MLPPRIOR, MLPPAK, MLPUNPAK, MLPFWD, MLPERR, MLPBKP, MLPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +net.type = 'mlp'; +net.nin = nin; +net.nhidden = nhidden; +net.nout = nout; +net.nwts = (nin + 1)*nhidden + (nhidden + 1)*nout; + +outfns = {'linear', 'logistic', 'softmax'}; + +if sum(strcmp(outfunc, outfns)) == 0 + error('Undefined output function. Exiting.'); +else + net.outfn = outfunc; +end + +if nargin > 4 + if isstruct(prior) + net.alpha = prior.alpha; + net.index = prior.index; + elseif size(prior) == [1 1] + net.alpha = prior; + else + error('prior must be a scalar or a structure'); + end +end + +net.w1 = randn(nin, nhidden)/sqrt(nin + 1); +net.b1 = randn(1, nhidden)/sqrt(nin + 1); +net.w2 = randn(nhidden, nout)/sqrt(nhidden + 1); +net.b2 = randn(1, nout)/sqrt(nhidden + 1); + +if nargin == 6 + net.beta = beta; +end diff --git a/sourcecodes/bnt-master/netlab3.3/mlpbkp.m b/sourcecodes/bnt-master/netlab3.3/mlpbkp.m new file mode 100644 index 00000000..5e45c8b8 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mlpbkp.m @@ -0,0 +1,37 @@ +function g = mlpbkp(net, x, z, deltas) +%MLPBKP Backpropagate gradient of error function for 2-layer network. +% +% Description +% G = MLPBKP(NET, X, Z, DELTAS) takes a network data structure NET +% together with a matrix X of input vectors, a matrix Z of hidden unit +% activations, and a matrix DELTAS of the gradient of the error +% function with respect to the values of the output units (i.e. the +% summed inputs to the output units, before the activation function is +% applied). The return value is the gradient G of the error function +% with respect to the network weights. Each row of X corresponds to one +% input vector. +% +% This function is provided so that the common backpropagation +% algorithm can be used by multi-layer perceptron network models to +% compute gradients for mixture density networks as well as standard +% error functions. +% +% See also +% MLP, MLPGRAD, MLPDERIV, MDNGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Evaluate second-layer gradients. +gw2 = z'*deltas; +gb2 = sum(deltas, 1); + +% Now do the backpropagation. +delhid = deltas*net.w2'; +delhid = delhid.*(1.0 - z.*z); + +% Finally, evaluate the first-layer gradients. +gw1 = x'*delhid; +gb1 = sum(delhid, 1); + +g = [gw1(:)', gb1, gw2(:)', gb2]; diff --git a/sourcecodes/bnt-master/netlab3.3/mlpderiv.m b/sourcecodes/bnt-master/netlab3.3/mlpderiv.m new file mode 100644 index 00000000..9dd96c03 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mlpderiv.m @@ -0,0 +1,47 @@ +function g = mlpderiv(net, x) +%MLPDERIV Evaluate derivatives of network outputs with respect to weights. +% +% Description +% G = MLPDERIV(NET, X) takes a network data structure NET and a matrix +% of input vectors X and returns a three-index matrix G whose I, J, K +% element contains the derivative of network output K with respect to +% weight or bias parameter J for input pattern I. The ordering of the +% weight and bias parameters is defined by MLPUNPAK. +% +% See also +% MLP, MLPPAK, MLPGRAD, MLPBKP +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'mlp', x); +if ~isempty(errstring); + error(errstring); +end + +[y, z] = mlpfwd(net, x); + +ndata = size(x, 1); + +if isfield(net, 'mask') + nwts = size(find(net.mask), 1); + temp = zeros(1, net.nwts); +else + nwts = net.nwts; +end + +g = zeros(ndata, nwts, net.nout); +for k = 1 : net.nout + delta = zeros(1, net.nout); + delta(1, k) = 1; + for n = 1 : ndata + if isfield(net, 'mask') + temp = mlpbkp(net, x(n, :), z(n, :), delta); + g(n, :, k) = temp(logical(net.mask)); + else + g(n, :, k) = mlpbkp(net, x(n, :), z(n, :),... + delta); + end + end +end diff --git a/sourcecodes/bnt-master/netlab3.3/mlperr.m b/sourcecodes/bnt-master/netlab3.3/mlperr.m new file mode 100644 index 00000000..7e3efe47 --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/mlperr.m @@ -0,0 +1,62 @@ +function [e, edata, eprior] = mlperr(net, x, t) +%MLPERR Evaluate error function for 2-layer network. +% +% Description +% E = MLPERR(NET, X, T) takes a network data structure NET together +% with a matrix X of input vectors and a matrix T of target vectors, +% and evaluates the error function E. The choice of error function +% corresponds to the output unit activation function. Each row of X +% corresponds to one input vector and each row of T corresponds to one +% target vector. +% +% [E, EDATA, EPRIOR] = MLPERR(NET, X, T) additionally returns the data +% and prior components of the error, assuming a zero mean Gaussian +% prior on the weights with inverse variance parameters ALPHA and BETA +% taken from the network data structure NET. +% +% See also +% MLP, MLPPAK, MLPUNPAK, MLPFWD, MLPBKP, MLPGRAD +% + +% Copyright (c) Ian T Nabney (1996-2001) + +% Check arguments for consistency +errstring = consist(net, 'mlp', x, t); +if ~isempty(errstring); + error(errstring); +end +[y, z, a] = mlpfwd(net, x); + +switch net.outfn + + case 'linear' % Linear outputs + edata = 0.5*sum(sum((y - t).^2)); + + case 'logistic' % Logistic outputs + % Ensure that log(1-y) is computable: need exp(a) > eps + maxcut = -log(eps); + % Ensure that log(y) is computable + mincut = -log(1/realmin - 1); + a = min(a, maxcut); + a = max(a, mincut); + y = 1./(1 + exp(-a)); + edata = - sum(sum(t.*log(y) + (1 - t).*log(1 - y))); + + case 'softmax' % Softmax outputs + nout = size(a,2); + % Ensure that sum(exp(a), 2) does not overflow + maxcut = log(realmax) - log(nout); + % Ensure that exp(a) > 0 + mincut = log(realmin); + a = min(a, maxcut); + a = max(a, mincut); + temp = exp(a); + y = temp./(sum(temp, 2)*ones(1,nout)); + % Ensure that log(y) is computable + y(y

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+

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+

Error: Unable to display your network structure.

+5 && $node<=7) +{ + $width=150; + $hieght=120; + $font=12; + +} +else if($node>7 && $node<=10) +{ + $width=110; + $hieght=85; + $font=10; +} +else +{ + $width=80; + $hieght=60; + $font=8; +} +*/ + $width=150; + $hieght=150; + $font=12; + +$r_index=$node+2; + +for($i=0;$i<$node;$i++) +{ +$datamat=explode("\t",$str_arrmat[$r_index]); +$data_read[$i][0]=trim($datamat[0]); //name +$data_read[$i][1]=trim($datamat[1]); //datatype +$col_in=2; +$r_index+=4; + if($datamat[1]==1) //type=coninuous + { + for($j=1;$j<=101;$j++) + { + $datamat=explode("\t",$str_arrmat[$r_index]); + $data_read[$i][$col_in]=trim($datamat[0]); //x data + // echo $data_read[$i][$col_in]; + // echo ' '; + + $col_in++; + $data_read[$i][$col_in]=trim($datamat[1]); //y data + // echo $data_read[$i][$col_in]; + // echo ' '; + + $col_in++; + $r_index++; // increment to point next data + // echo "
"; + } + } + if($datamat[1]>1) //type=descrete + { + $iter=$datamat[1]; + for($j=1;$j<=$iter;$j++) + { + $datamat=explode("\t",$str_arrmat[$r_index]); + $data_read[$i][$col_in]=trim($datamat[0]); //x data + //use level mapping + $data_read[$i][$col_in]=levelmap($data_read[$i][$col_in],$data_read[$i][0],$levelmap); + + $col_in++; + $data_read[$i][$col_in]=trim($datamat[1]); //y data + + $col_in++; + $r_index++; // increment to point next data + //echo "
"; + } + } + +} + + + + +////////////////////////////////////////////////Graphviz data read//////////////////////////////////////////////////////////////////////////////// + +$grv=$dir.$keyval."graphviz.txt"; +$line=shell_exec('/usr/bin/dot -Tplain -y '.$grv); + + +$grviz_name_list=array(); +$g_file_name="./data/".$keyval."grviz_name_file.txt"; +$grviz_name=file_get_contents("$g_file_name"); +$grviz_name_list=explode("\n",$grviz_name); + + + +//$foutnew=fopen("contentofgraphviz.txt","w"); +//fwrite($foutnew,"$line"); + + +//$grfilename=$keyval."graphviz.txt"; +//$cmd="/usr/bin/dot -Tplain -y $grfilename"; +//$line=system($cmd); + + + + +$str_arrname=array(); +$str_arrname=explode("\n",$line); +$data=array(); +$ID_data=array(); +$i=0; +$ii=0; +foreach($str_arrname as $row) +{ + $i++; + if($i>1) + { + + $data=explode(" ",$row); + $j=0; + $k=0; + $flag=0; + foreach($data as $cell) + { + + $j++; + + $cell=trim($cell); + //echo $cell; + //echo ' '; + if($j==1 && $cell=="node") + { + $flag=1; + } + + if($j>1 && $j<5 && $flag==1) + { + //echo $cell; + //echo ' '; + if($j==2) + { + + $ID_data[$ii][$k]=$grviz_name_list[$cell]; + } + else + $ID_data[$ii][$k]=round($cell/10*900); + // echo $ID_data[$ii][$k]; + //echo ' '; + + $k++; + } + } + + if($flag==1) + { + $ID_data[$ii][3]=$ID_data[$ii][1]+100; + $ID_data[$ii][4]=$ID_data[$ii][2]+150; + $ID_data[$ii][5]=$ID_data[$ii][1]+100; + $ID_data[$ii][6]=$ID_data[$ii][2]; + $ii++; + //echo "
"; + } + // echo "
"; + + } +} + +$nnode=$ii; +$edge_data=array(); + +$i=0; +$ii=0; + +foreach($str_arrname as $row) +{ + $i++; + if($i>1) + { + + $data=explode(" ",$row); + $j=0; + + $flag=0; + $number_of_point=0; + $index=0; + foreach($data as $cell) + { + $j++; + $cell=trim($cell); + + if($j==1 && $cell=="edge") + { + $flag=1; + } + + if($j==2 && $flag==1) + { + + for($k=0;$k<$nnode;$k++) + { + $cell=$grviz_name_list[$cell]; + if($cell==$ID_data[$k][0]) + { + $edge_data[$ii][0]=$ID_data[$k][3]; + $edge_data[$ii][1]=$ID_data[$k][4]; + } + + } + + } + else if($j==3 && $flag==1) + { + for($k=0;$k<$nnode;$k++) + { + if($cell==$ID_data[$k][0]) + { + $edge_data[$ii][2]=$ID_data[$k][5]; + $edge_data[$ii][3]=$ID_data[$k][6]; + } + + } + + } + else if($j==4 && $flag==1) + { + $edge_data[$ii][4]=$cell; + $number_of_point=$cell*2; + $index=5; + } + else if($j>4 && $number_of_point>0 && $flag==1) + { + if(($j%2)!=0) + $edge_data[$ii][$index]=round($cell/10*900)+60;//+30+30; + else + $edge_data[$ii][$index]=round($cell/10*900)+48;//+18+30; + + $number_of_point--; + $index++; + } + + + + } + if($flag==1) + { + $ii++; + //echo "
"; + } + + } +} + + +$nedges=$ii; + +?> + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + diff --git a/sourcecodes/parameter_learning/Predictmultiple.m b/sourcecodes/parameter_learning/Predictmultiple.m new file mode 100644 index 00000000..692c6b24 --- /dev/null +++ b/sourcecodes/parameter_learning/Predictmultiple.m @@ -0,0 +1,57 @@ +function Predictmultiple(pre) + +dfile=strcat(pre,'structure_input.txt'); +sfile=dfile; +dfile=strcat(pre,'continuous_input.txt'); +nnodefile=strcat(pre,'nnode.txt'); +fnnode = fopen(nnodefile,'r'); +nnodes = fscanf(fnnode,'%d'); + + + +%nnodes=5; +Std_flag=true; +[labels,cases,bnet]=readInput(dfile,sfile,nnodes,Std_flag); + + +%name +%labels +%map + +[bnet]=parameterLearning(bnet,cases); +%[predict_mean,predict_sd,q_sq]=looCrossValid(bnet,cases); +fvarfile=strcat(pre,'var.txt'); + +fvar = fopen(fvarfile,'r'); + +select_var_new = fscanf(fvar,'%d'); + +fvardfile=strcat(pre,'vardata.txt'); + +fvard = fopen(fvardfile,'r'); + +select_var_data_new = fscanf(fvard,'%f'); + +filename=strcat(pre,'net_figure_new.txt'); + +drawFigureM(nnodes,bnet,labels,filename,cases,select_var_new,select_var_data_new); + +%quit force; +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{1}=2; +%[engine,loglik]=enter_evidence(engine,evidence) +%marginal_nodes(engine,1) +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{2}=0.6; +%evidence{1}=[]; +%[engine,loglik]=enter_evidence(engine,evidence); +%marginal_nodes(engine,3); +%marginal_nodes(engine,4); +%marginal_nodes(engine,5); +end \ No newline at end of file diff --git a/sourcecodes/parameter_learning/Predictmultipleintrvention.m b/sourcecodes/parameter_learning/Predictmultipleintrvention.m new file mode 100644 index 00000000..d3d509cb --- /dev/null +++ b/sourcecodes/parameter_learning/Predictmultipleintrvention.m @@ -0,0 +1,73 @@ +function Predictmultipleintrvention(pre) +dfile=strcat(pre,'structure_input.txt'); +sfile=dfile; +dfile=strcat(pre,'continuous_input.txt'); +nnodefile=strcat(pre,'nnode.txt'); + +fnnode = fopen(nnodefile,'r'); +nnodes = fscanf(fnnode,'%d'); + +fvarnamefile=strcat(pre,'varname.txt'); + +varfile = fopen(fvarnamefile,'r'); + +%nnodes=5; +Std_flag=true; +[labels,cases,bnet]=readInput(dfile,sfile,nnodes,Std_flag); +[bnet]=parameterLearning(bnet,cases); + +%[predict_mean,predict_sd,q_sq]=looCrossValid(bnet,cases); + + +fvarfile=strcat(pre,'var.txt'); +fvar = fopen(fvarfile,'r'); + +select_var_new = fscanf(fvar,'%d'); + +nm = numel(select_var_new); + +varlabels = cell(1,nm); +varbuffer = fgetl(varfile); %get header line as a string +for j=1:nm + [varnext,varbuffer] = strtok(varbuffer); + varlabels{j} = varnext; + for i=1:nnodes + if strcmp(varlabels{j},labels{i}) + select_var_new(j)=i; + end + end + +end + + + + +fvardfile=strcat(pre,'vardata.txt'); + +fvard = fopen(fvardfile,'r'); + +select_var_data_new = fscanf(fvard,'%f'); + +filename=strcat(pre,'net_figure_new.txt'); + +drawFigureM(nnodes,bnet,labels,filename,cases,select_var_new,select_var_data_new); + +%quit force; +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{1}=2; +%[engine,loglik]=enter_evidence(engine,evidence) +%marginal_nodes(engine,1) +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{2}=0.6; +%evidence{1}=[]; +%[engine,loglik]=enter_evidence(engine,evidence); +%marginal_nodes(engine,3); +%marginal_nodes(engine,4); +%marginal_nodes(engine,5); +end \ No newline at end of file diff --git a/sourcecodes/parameter_learning/checkDiscreteNodes.m b/sourcecodes/parameter_learning/checkDiscreteNodes.m new file mode 100644 index 00000000..c9d0692c --- /dev/null +++ b/sourcecodes/parameter_learning/checkDiscreteNodes.m @@ -0,0 +1,37 @@ +function [ ] = checkDiscreteNodes( bnet, cases) + %checkDiscreteNodes Checks if states of discrete nodes are be integers from 1 to M + % where M is the number of states of the node. (M should be the same as + % node_sizes in the bnet). + % + %Input: + % bnet: BNT bnet + % cases: cell array of data + % +% +node_sizes = bnet.node_sizes; +dnodes = bnet.dnodes; +ndisc = size(dnodes,2); +ncases = size(cases,2); + +%check to see that all data for discrete nodes are integers +for i = 1:ndisc + inode = dnodes(i); + data = cases(inode,:); + isize = node_sizes(inode); + states = zeros(1,isize); + for j = 1:isize + states(j) = j; + end + for j = 1:ncases + k = int64(data{j}); + if ~any(k==states) + error(['Discrete nodes must be integers from 1 to the number of states']); + end + end +end + + +end + + + diff --git a/sourcecodes/parameter_learning/checkStructure.m b/sourcecodes/parameter_learning/checkStructure.m new file mode 100644 index 00000000..5931c187 --- /dev/null +++ b/sourcecodes/parameter_learning/checkStructure.m @@ -0,0 +1,78 @@ +function [ labels, cases, dag, node_sizes, ord_flag ] = checkStructure(labels, cases, dag, node_sizes) + %checkStructure Check to see if nodes are sorted correctly. They must be + % in topological order (i.e., parents before children) before parameter + % learning can take place. + % + %Input and output have the same meaning. The output has just been + %topologically ordered. + % labels = cell array with the names of the nodes. + % cases = cell array with the data. + % dag = matrix with the strucutre of the network. + % node_sizes = vector with the size of each node. + +%make connections array +%count how big you need the connections array to be +nnodes = size(dag,1); +narcs = 0; +for i = 1:nnodes + for j = 1:nnodes + if dag(i,j) == 1 + narcs = narcs + 1; + end + end +end +%fill connections array with label names +connections = cell(narcs,2); +ncount = 0; +for i = 1:nnodes + for j = 1:nnodes + if dag(i,j) == 1 + ncount = ncount + 1; + connections{ncount,1} = labels{i}; + connections{ncount,2} = labels{j}; + end + end +end + +%get topologically sorted dag and labels +[new_dag, new_labels] = mk_adj_mat(connections, labels, 1); + +%check to see if order changed +ord_flag = 0; +for i = 1:nnodes + if ~strcmp(new_labels{i},labels{i}) + ord_flag = 1; + end +end + +if ord_flag + %get new ordering of nodes + order = cell(1,nnodes); + for i = 1:nnodes + for j = 1:nnodes + if strcmp(new_labels{j},labels{i}) + order{i} = j; + end + end + end + + %reorder cases and node_sizes + new_cases = cell(size(cases)); + for i = 1:nnodes + new_cases(order{i},:) = cases(i,:); + end + new_node_sizes = zeros(1,nnodes); + for i = 1:nnodes + new_node_sizes(order{i}) = node_sizes(i); + end + + + dag = new_dag; + cases = new_cases; + node_sizes = new_node_sizes; + labels = new_labels; +end + +end +%end checkStructure.m + diff --git a/sourcecodes/parameter_learning/drawFigure.m b/sourcecodes/parameter_learning/drawFigure.m new file mode 100644 index 00000000..76979b3e --- /dev/null +++ b/sourcecodes/parameter_learning/drawFigure.m @@ -0,0 +1,383 @@ +function [] = drawFigure(nnodes,bnet,labels,filename,cases,selectvar,selectdata) +%drawFigure writes the parameters and data that are needed to draw the +%structure of a Bayesian network. + +if nargin < 6, + drawFigureNoEv(nnodes,bnet,labels,filename,cases); +else + drawFigureEv(nnodes,bnet,labels,filename,cases,selectvar,selectdata); +end; + +end + + + +function [] = drawFigureEv(nnodes,bnet,labels,filename,cases,selectvar,selectdata) +%Function to use if there is no entered evidence. +% +% +%Before each printed line, I will have a line that starts with %%% +% that describes what will be on that line + +%Create an empty evidence cell array. + +%val=cases; +%for i = 1:nnodes +% val(i,1)=val(i,2); + +%end + +A=cell2mat(cases'); +Amax=max(A); +Amin=min(A); + + +evidence = cell(1,nnodes); +engine = jtree_inf_engine(bnet); + +evidence{selectvar}=selectdata; + +[engine,loglik]=enter_evidence(engine,evidence); + +%Open the file, and write the nodes to a file. +fileID = fopen(filename,'w'); + +%%%%Evidence node +fprintf(fileID,'%i\n',selectvar); +%%% The number of nodes +fprintf(fileID,'%i\n',nnodes); +%Get canvas size +labels_temp = cellstr(labels); +[x,y] = make_layout(bnet.dag); + +x = x - min(x); +y = 1 - y; +y = y - min(y); + +[x_dim,y_dim] = canvasSize(nnodes,x,y); + +%%% The dimensions of the canvas for the javascript code +fprintf(fileID,'%i\t%i\t\n',x_dim,y_dim) + +x = x*x_dim; +y = y*y_dim; +for i = 1:nnodes, +%%% The name and X- and Y-positions of each node + fprintf(fileID,'%s\t%i\t%i\n',labels{i},round(x(i)),round(y(i))); +end + +%Get the number of parents and children for each node. +num_par = zeros(1,nnodes); +%For parents, sum down columns +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + num_par(i) = num_par(i) + 1; + end + end +end +num_child = zeros(1,nnodes); +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + num_child(i) = num_child(i) + 1; + end + end +end + + +for i = 1:nnodes, + %%% The name and type of each node (1=continuous, the number of states + %%% if it is discrete + fprintf(fileID,'%s\t%i\n',labels{i},bnet.node_sizes(i)); + %%% The size of the node, I am going to keep them + %%% 250(width) by 150(height) for now + %Could modify this to change the width based on the length of the node + %name + fprintf(fileID,'%i\t%i\n',250,150); + %%% The number of parents of the node, and the parents + if num_par(i) == 0; + %%% If no parents: + fprintf(fileID,'%i\n',num_par(i)); + else + parents = zeros(1,num_par(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + parents(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_par(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_par(i),parents(1,:)); + end + + + %%% The number of children of the node, and the children + if num_child(i) == 0; + %%% If no children: + fprintf(fileID,'%i\n',num_child(i)); + else + children = zeros(1,num_child(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + children(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_child(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_child(i),children(1,:)); + end + + predict = marginal_nodes(engine,i); + if isempty(evidence{i}) + if bnet.node_sizes(i) ~= 1, + for j = 1:bnet.node_sizes(i), + %%%For discrete nodes, the state and the percent of that state + fprintf(fileID,'%i\t%6.4f\n',j,predict.T(j)); + end; + else + + [x_vals,y_vals] = calcGaussian(predict.mu,predict.Sigma,Amax(i),Amin(i)); + %%%For continuous nodes, print x and the pdf of a normal curve. + for j = 1:101, + fprintf(fileID,'%6.4f\t%6.4f\n',x_vals(j,1),y_vals(j,1)); + end; + end; + else + fprintf(fileID,'%6.4f\t%6.4f\n',selectdata,1); + end + +end +%fprintf(fileID,'%s\t %\n',labels_temp{:}); + + +fclose(fileID); + +end + + + + + + +function [] = drawFigureNoEv(nnodes,bnet,labels,filename,cases) +%Function to use if there is no entered evidence. +% +% +%Before each printed line, I will have a line that starts with %%% +% that describes what will be on that line +A=cell2mat(cases'); +Amax=max(A); +Amin=min(A); + +%Create an empty evidence cell array. +evidence = cell(1,nnodes); +engine = jtree_inf_engine(bnet); +[engine,loglik] = enter_evidence(engine,evidence); + +%Open the file, and write the nodes to a file. +fileID = fopen(filename,'w'); +%%% The number of nodes +fprintf(fileID,'%i\n',nnodes); + +%Get canvas size + +labels_temp = cellstr(labels); +[x,y] = make_layout(bnet.dag); +%[x,y] = layout_dag(bnet.dag); + + +x = x - min(x); +y = 1 - y; +y = y - min(y); + +[x_dim,y_dim] = canvasSize(nnodes,x,y); + +%%% The dimensions of the canvas for the javascript code +fprintf(fileID,'%i\t%i\t\n',x_dim,y_dim) + +x = x*x_dim; +y = y*y_dim; +for i = 1:nnodes, +%%% The name and X- and Y-positions of each node + fprintf(fileID,'%s\t%i\t%i\n',labels{i},round(x(i)),round(y(i))); +end + +%Get the number of parents and children for each node. +num_par = zeros(1,nnodes); +%For parents, sum down columns +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + num_par(i) = num_par(i) + 1; + end + end +end +num_child = zeros(1,nnodes); +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + num_child(i) = num_child(i) + 1; + end + end +end + + +for i = 1:nnodes, + %%% The name and type of each node (1=continuous, the number of states + %%% if it is discrete + fprintf(fileID,'%s\t%i\n',labels{i},bnet.node_sizes(i)); + %%% The size of the node, I am going to keep them + %%% 250(width) by 150(height) for now + %Could modify this to change the width based on the length of the node + %name + fprintf(fileID,'%i\t%i\n',250,150); + %%% The number of parents of the node, and the parents + if num_par(i) == 0; + %%% If no parents: + fprintf(fileID,'%i\n',num_par(i)); + else + parents = zeros(1,num_par(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + parents(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_par(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_par(i),parents(1,:)); + end + + + %%% The number of children of the node, and the children + if num_child(i) == 0; + %%% If no children: + fprintf(fileID,'%i\n',num_child(i)); + else + children = zeros(1,num_child(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + children(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_child(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_child(i),children(1,:)); + end + + predict = marginal_nodes(engine,i); + if bnet.node_sizes(i) ~= 1, + for j = 1:bnet.node_sizes(i), + %%%For discrete nodes, the state and the percent of that state + fprintf(fileID,'%i\t%6.4f\n',j,predict.T(j)); + end; + else + %cases(i) + % MAX(cases(i)) + % MIN(cases(i)) + [x_vals,y_vals] = calcGaussian(predict.mu,predict.Sigma,Amax(i),Amin(i)); + %%%For continuous nodes, print x and the pdf of a normal curve. + for j = 1:101, + fprintf(fileID,'%6.4f\t%6.4f\n',x_vals(j,1),y_vals(j,1)); + end; + end; +end +%fprintf(fileID,'%s\t %\n',labels_temp{:}); + + +fclose(fileID); + +end + + +function [x_dim, y_dim] = canvasSize(nnodes,x,y) +%canvasSize Function to calculate the size of the canvas to +% build the network structure + + +%I am going to assume that the node size will be +% height = 150, width = 250 +% so there will be a node spacing of +% 200 (in y-dim) and 300 (in x-dim). +y_space = 200; +x_space = 300; + +%Set default minimum x and y dimensions +x_dim = 1200; +y_dim = 1200; + +%get unique y values +y_unique = unique(y); +size_y = size(y_unique,2); +y_dim_temp = size_y*y_space; + +%get the maximum nodes in any layer +size_x = zeros(1,size_y); +for i = 1:size_y, + for j = 1:nnodes, + if y_unique(i) == y(j), + size_x(1,i) = size_x(1,i) + 1; + end; + end; +end; +size_x = max(size_x); +x_dim_temp = size_x*x_space; + +if x_dim_temp > x_dim, + x_dim = x_dim_temp; +end; + +if y_dim_temp > y_dim, + y_dim = y_dim_temp; +end; +end + +function [x_vals,y_vals] = calcGaussian(mu,Sigma,maxval,minval) +%Function to calculate 101 points of Gaussian function to use in plotting +% Gets the probability density of the mean value and 50 evenly spaced +% points up to 3Sigma below the mean and 50 evenly space points up to +% 3Sigma above the mean. +%maxval +%minval +x_vals = zeros(101,1); +y_vals = zeros(101,1); + +%x_vals(1,1) = mu - 3*Sigma; +x_vals(1,1) = minval - 1; +gap=((maxval+1)-(minval - 1))/100; +%x_vals(1,1) = 0;%mu - 3*Sigma; +for i = 1:100, + % x_vals(i+1,1) = x_vals(1,1) + i*6*Sigma/100; + x_vals(i+1,1) = x_vals(i,1) + gap; + %x_vals(i+1,1) = x_vals(i,1) + 1/100; +end + +for i = 1:101, + y_vals(i,1) = normpdf(x_vals(i,1),mu,Sigma); +end + +end diff --git a/sourcecodes/parameter_learning/drawFigureM.m b/sourcecodes/parameter_learning/drawFigureM.m new file mode 100644 index 00000000..95a27634 --- /dev/null +++ b/sourcecodes/parameter_learning/drawFigureM.m @@ -0,0 +1,258 @@ +function [] = drawFigureM(nnodes,bnet,labels,filename,cases,selectvar,selectdata) +%drawFigure writes the parameters and data that are needed to draw the +%structure of a Bayesian network. + + +%Function to use if there is no entered evidence. +% +% +%Before each printed line, I will have a line that starts with %%% +% that describes what will be on that line + +%Create an empty evidence cell array. + +%val=cases; +%for i = 1:nnodes +% val(i,1)=val(i,2); + +%end + +fileID = fopen(filename,'w'); + + +A=cell2mat(cases'); +Amax=max(A); +Amin=min(A); + + +evidence = cell(1,nnodes); +engine = jtree_inf_engine(bnet); + +m = size(selectvar,1); + + +ev_dat = zeros(1,nnodes); +%For parents, sum down columns +for i = 1:m, + di=selectvar(i,1); + ev_dat(di)=selectdata(i,1); + + evidence{di}=ev_dat(di); + fprintf(fileID,'%i\t',di); +end +fprintf(fileID,'\n'); + +%ev_dat + +% select_var = selectvar(1,1) +% +% select_var_data = selectdata(1,1) +% +% +% evidence{select_var}=select_var_data; + +[engine,loglik]=enter_evidence(engine,evidence); + +%Open the file, and write the nodes to a file. + + +%%%%Evidence node + +%%% The number of nodes +fprintf(fileID,'%i\n',nnodes); +%Get canvas size +labels_temp = cellstr(labels); +[x,y] = make_layout(bnet.dag); + +x = x - min(x); +y = 1 - y; +y = y - min(y); + +[x_dim,y_dim] = canvasSize(nnodes,x,y); + +%%% The dimensions of the canvas for the javascript code +fprintf(fileID,'%i\t%i\t\n',x_dim,y_dim) + +x = x*x_dim; +y = y*y_dim; +for i = 1:nnodes, +%%% The name and X- and Y-positions of each node + fprintf(fileID,'%s\t%i\t%i\n',labels{i},round(x(i)),round(y(i))); +end + +%Get the number of parents and children for each node. +num_par = zeros(1,nnodes); +%For parents, sum down columns +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + num_par(i) = num_par(i) + 1; + end + end +end +num_child = zeros(1,nnodes); +for i = 1:nnodes, + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + num_child(i) = num_child(i) + 1; + end + end +end + + +for i = 1:nnodes, + %%% The name and type of each node (1=continuous, the number of states + %%% if it is discrete + fprintf(fileID,'%s\t%i\n',labels{i},bnet.node_sizes(i)); + %%% The size of the node, I am going to keep them + %%% 250(width) by 150(height) for now + %Could modify this to change the width based on the length of the node + %name + fprintf(fileID,'%i\t%i\n',250,150); + %%% The number of parents of the node, and the parents + if num_par(i) == 0; + %%% If no parents: + fprintf(fileID,'%i\n',num_par(i)); + else + parents = zeros(1,num_par(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(j,i) == 1, + parents(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_par(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_par(i),parents(1,:)); + end + + + %%% The number of children of the node, and the children + if num_child(i) == 0; + %%% If no children: + fprintf(fileID,'%i\n',num_child(i)); + else + children = zeros(1,num_child(i)); + k = 1; + for j = 1:nnodes, + if bnet.dag(i,j) == 1, + children(1,k) = j; + k = k + 1; + end + end + format = '%i\t'; + for j = 1:num_child(i)-1, + format = strcat(format,'%i\t'); + end + format = strcat(format,'%i\n'); + %%%If there are parents: + fprintf(fileID,format,num_child(i),children(1,:)); + end + + predict = marginal_nodes(engine,i); + if isempty(evidence{i}) + if bnet.node_sizes(i) ~= 1, + for j = 1:bnet.node_sizes(i), + %%%For discrete nodes, the state and the percent of that state + fprintf(fileID,'%i\t%6.4f\n',j,predict.T(j)); + end; + else + + [x_vals,y_vals] = calcGaussian(predict.mu,predict.Sigma,Amax(i),Amin(i)); + %%%For continuous nodes, print x and the pdf of a normal curve. + for j = 1:101, + fprintf(fileID,'%6.4f\t%6.4f\n',x_vals(j,1),y_vals(j,1)); + end; + end; + else + fprintf(fileID,'%6.4f\t%6.4f\n',ev_dat(i),1); + end + +end +%fprintf(fileID,'%s\t %\n',labels_temp{:}); + + +fclose(fileID); + +end + + + + + + + + + +function [x_dim, y_dim] = canvasSize(nnodes,x,y) +%canvasSize Function to calculate the size of the canvas to +% build the network structure + + +%I am going to assume that the node size will be +% height = 150, width = 250 +% so there will be a node spacing of +% 200 (in y-dim) and 300 (in x-dim). +y_space = 200; +x_space = 300; + +%Set default minimum x and y dimensions +x_dim = 1200; +y_dim = 1200; + +%get unique y values +y_unique = unique(y); +size_y = size(y_unique,2); +y_dim_temp = size_y*y_space; + +%get the maximum nodes in any layer +size_x = zeros(1,size_y); +for i = 1:size_y, + for j = 1:nnodes, + if y_unique(i) == y(j), + size_x(1,i) = size_x(1,i) + 1; + end; + end; +end; +size_x = max(size_x); +x_dim_temp = size_x*x_space; + +if x_dim_temp > x_dim, + x_dim = x_dim_temp; +end; + +if y_dim_temp > y_dim, + y_dim = y_dim_temp; +end; +end + +function [x_vals,y_vals] = calcGaussian(mu,Sigma,maxval,minval) +%Function to calculate 101 points of Gaussian function to use in plotting +% Gets the probability density of the mean value and 50 evenly spaced +% points up to 3Sigma below the mean and 50 evenly space points up to +% 3Sigma above the mean. +%maxval +%minval +x_vals = zeros(101,1); +y_vals = zeros(101,1); + +%x_vals(1,1) = mu - 3*Sigma; +x_vals(1,1) = minval - 1; +gap=((maxval+1)-(minval - 1))/100; +%x_vals(1,1) = 0;%mu - 3*Sigma; +for i = 1:100, + % x_vals(i+1,1) = x_vals(1,1) + i*6*Sigma/100; + x_vals(i+1,1) = x_vals(i,1) + gap; + %x_vals(i+1,1) = x_vals(i,1) + 1/100; +end + +for i = 1:101, + y_vals(i,1) = normpdf(x_vals(i,1),mu,Sigma); +end + +end diff --git a/sourcecodes/parameter_learning/getParams.m b/sourcecodes/parameter_learning/getParams.m new file mode 100644 index 00000000..31f84ffb --- /dev/null +++ b/sourcecodes/parameter_learning/getParams.m @@ -0,0 +1,22 @@ +function [ bnet ] = getParams( bnet, cases ) +%getParams Code to initialize CPT and do parameter learning. +%This will be very basic for now. I can add more options later. + +dnodes = bnet.dnodes; +cnodes = bnet.cnodes; +nnodes = size(dnodes,2)+size(cnodes,2); + +%make dnodes tabular_CPT +for i = 1:size(dnodes,2) + bnet.CPD{dnodes(i)} = tabular_CPD(bnet,dnodes(i)); +end + +for i = 1:size(cnodes,2) + bnet.CPD{cnodes(i)} = gaussian_CPD(bnet,cnodes(i)); +end + +bnet = learn_params(bnet,cases); + + +end + diff --git a/sourcecodes/parameter_learning/parameterLearning.m b/sourcecodes/parameter_learning/parameterLearning.m new file mode 100644 index 00000000..872e94b1 --- /dev/null +++ b/sourcecodes/parameter_learning/parameterLearning.m @@ -0,0 +1,17 @@ +function [ bnet ] = parameterLearning( bnet,cases,engine_name ) +%parameterLearning Do parameter learning and inference + +%engine is an optional argument +if nargin < 3 + engine_name = 'jtree_inf_engine'; +end + + +%First do parameter learning with all the data +[bnet] = getParams(bnet,cases); + + + + +end + diff --git a/sourcecodes/parameter_learning/readInput.m b/sourcecodes/parameter_learning/readInput.m new file mode 100644 index 00000000..9d4959b8 --- /dev/null +++ b/sourcecodes/parameter_learning/readInput.m @@ -0,0 +1,70 @@ +function [ labels, cases, bnet, node_sizes, data,labelsold] = readInput( dfile, sfile, nnodes, std_flag ) + %readInput is to be used when reading in a network with a known structure + % + %Input: + % dfile = name of the file containing the data (required) + % sfile = name of the file containing the structure (required) + % nnodes = number of nodes in the network (required) + % std_flag = flag for whether or not to standardize the data. + % (optional-- Default is FALSE) + % + % See readInputData.m and readInputStructure.m for description of the + % format of the dfile and sfile, respectively. + % + %Output: + % labels = cell array with the names of the nodes. + % cases = cell array with the data. + % bnet = BNT bayesian network with the input structure. + +if nargin < 4 + std_flag = false(1); +end + + +% read in the file with the data +[labelsold,node_sizes,cases, data] = readInputData(dfile,nnodes); + + + + +% read in the file with the structure +[dag] = readInputStructure(sfile,labelsold); + + +% check the ordering of the nodes and reorder if necessary +[labels,cases,dag,node_sizes,ord_flag] = checkStructure(labelsold,cases,dag,node_sizes); +%draw_graph(dag,labels); +%if ord_flag == 1 +% fprintf(['Order of nodes was changed to agree with topological order\n']) +%end +%fprintf(['The structure of the network should be correctly displayed in a figure\n']) + +dcount = 0; +for i = 1:nnodes + if node_sizes(i) ~= 1 + dcount = dcount + 1; + end +end +discrete = zeros(1,dcount); +dcount = 0; +for i = 1:nnodes + if node_sizes(i) ~= 1 + dcount = dcount + 1; + discrete(dcount) = i; + end +end + +bnet = mk_bnet(dag,node_sizes,'discrete',discrete,'names',labels); + +%bnet.dag + +checkDiscreteNodes(bnet,cases); + +% standardize continuous data to have a mean = 0 and std = 1 +if (std_flag) + [cases] = standardizeData(labels,node_sizes,cases); +end + + +end +% end of readInput.m \ No newline at end of file diff --git a/sourcecodes/parameter_learning/readInputData.m b/sourcecodes/parameter_learning/readInputData.m new file mode 100644 index 00000000..706e2751 --- /dev/null +++ b/sourcecodes/parameter_learning/readInputData.m @@ -0,0 +1,75 @@ +function [ labels , node_sizes, cases, data] = readInputData( dfile , nnodes ) + % readColData reads data from a file containing data in columns + % that have text titles, and possibly other header text + % + % Input: + % dfile = name of the file containing the data.(required) + % nnodes = number of columns in the data file. (required) + % + % Function assumes the following format for the input file: + % 1) First line has labels for each of the nodes. There cannot + % be spaces in any node label. + % 2) The next line is the "node_sizes" of the nodes. If the + % nodes are discrete, this number will be equal to the number + % of states. If the nodes are continuous, they should be + % equal to 1. The function assumes that any nodes with + % node_size = 1 is continuous. + % 3) The rest of the file is numeric data. The data in the input + % data has the number of columns equal to the number of + % nodes in the network and the number of rows equal to + % the number of samples. + % + % + % Output: + % labels = cell array with node (column) labels. + % node_sizes = vector with the size of each node + % cases = cell array with the data. The cases array is transposed + % in comparison with the input data to agree with the format of + % cell data used in BNT. + +% open file for input, include error handling +fin = fopen(dfile,'r'); +if fin < 0 + error(['Could not open ',dfile,' for input']); +end + +% Read in first line to get the node labels. +labels = cell(1,nnodes); +buffer = fgetl(fin); %get header line as a string +for j=1:nnodes + [next,buffer] = strtok(buffer); + labels{j} = next; +end + +% Read in the data. Use the vetorized fscanf function to load all +% numerical values into one vector. Then reshape this vector into a +% matrix. + +data = fscanf(fin,'%f'); % Load the numerical values into one long vector + + + + +nd = length(data); % total number of data points +nr = nd/nnodes; % number of rows; check (next statement) to make sure +if nr ~= round(nd/nnodes) + fprintf(1,'\ndata: nrow = %f\tncol = %d\n',nr,nnodes); + fprintf(1,'number of data points = %d does not equal nrow*ncol\n',nd); + error('data is not rectangular') +end + +data = reshape(data,nnodes,nr)'; % have to transpose the reshaped array + + +node_sizes = zeros(1,nnodes); +for j = 1:nnodes + node_sizes(j) = data(1,j); +end + +nr = nr - 1; +data(1,:) = []; +cases = cell(nnodes,nr); +cases(:,:) = num2cell(data'); + +end +% end of readInputData.m \ No newline at end of file diff --git a/sourcecodes/parameter_learning/readInputStructure.m b/sourcecodes/parameter_learning/readInputStructure.m new file mode 100644 index 00000000..6b3cbece --- /dev/null +++ b/sourcecodes/parameter_learning/readInputStructure.m @@ -0,0 +1,72 @@ +function [ dag ] = readInputStructure( sfile, labels ) +%readInputStructure Read in file with structure information + % + %Input: + % sfile = name of the file containing the data (required) + % labels = cell array with node labels. (required) + % nnodes = number of columns in the data file. (required) + % + % Function assumes the following format for the structure input file: + % 1) The first line has node labels. These must be the same as + % in the input data file. They cannot contain spaces. + % 2) The remainder of the file contains the structure of the dag. + % The structure of a graph is a N-by-N matrix, where N is the + % number of nodes. There are 1's in the matrix representing + % parent-child relationships. For each 1, the row indicates + % the parent and the column indicates the child. For + % example, a 1 in the (2,3) position of the matrix indicates + % that there is an arc pointing from node 2 to node 3. + % + % + % Output: + % dag = matrix with the structure. +% +% Read in first line of the structure file +% open file for input, include error handling +fin = fopen(sfile,'r'); +if fin < 0 + error(['Could not open ',sfile,' for input']); +end + +nnodes = size(labels,2); +% Read in first line to get the node labels. +labels_test = cell(1,nnodes); +buffer = fgetl(fin); %get header line as a string +for j=1:nnodes + [next,buffer] = strtok(buffer); + labels_test{j} = next; +end + +for j=1:nnodes + if labels_test{j} ~= labels{j} + fprintf(['Label of node ',j,' is not consistent in input and structure files']) + end +end + +data = fscanf(fin,'%f'); + +nd = length(data); % total number of data points +nr = nd/nnodes; % number of rows; check (next statement) to make sure +if nr ~= round(nd/nnodes) + fprintf(1,'\ndata: nrow = %f\tncol = %d\n',nr,nnodes); + fprintf(1,'number of data points = %d does not equal nrow*ncol\n',nd); + error('Structure file does not have the correct dimensions (1)') +end +% check to make sure that structure is square +if nr ~= nnodes + error('Structure file does not have the correct dimensions (2)') +end + +data = reshape(data,nnodes,nr)'; % have to transpose the reshaped array + + +dag = zeros(nnodes,nnodes); +for i = 1:size(data,1) + for j = 1:size(data,2) + dag(i,j) = data(i,j); + end +end + + +end +% end of readInputStructure.m diff --git a/sourcecodes/parameter_learning/runBN_initial.m b/sourcecodes/parameter_learning/runBN_initial.m new file mode 100644 index 00000000..789b4260 --- /dev/null +++ b/sourcecodes/parameter_learning/runBN_initial.m @@ -0,0 +1,98 @@ +function runBN_initial(pre) +sfile=strcat(pre,'structure_input.txt'); +dfile=strcat(pre,'continuous_input.txt'); + +nnodefile=strcat(pre,'nnode.txt'); +fnnode = fopen(nnodefile,'r'); +nnodes = fscanf(fnnode,'%d'); + + +mapfilename=strcat(pre,'mapdata.txt'); +mapvalfilename=strcat(pre,'map.txt'); + +mapfile = fopen(mapfilename,'w'); + +mapval = fopen(mapvalfilename,'w'); + + +%nnodes=5; +Std_flag=true; +[labels,cases,bnet,node_sizes,data,labelsold]=readInput(dfile,sfile,nnodes,Std_flag); +s = std(data,0,1); +m=mean(data); + + +for i=1:nnodes + fprintf(mapval,'%s\t%d\t%f\t%f\n',labelsold{i},node_sizes(i),s(i),m(i)); +end + + +% for j=1:nnodes +% [next,buffer] = strtok(buffer); +% name{j}=next; +% for i=1:nnodes +% if strcmp(name{j},labels{i}) +% map{j}=i; +% fprintf(mapfile,'%d\t',i); +% end +% end +% end +%name +%labels +%map +fprintf(mapfile,'%s',labels{1}); +for i=2:nnodes + fprintf(mapfile,'\t%s',labels{i}); +end +fprintf(mapfile,'\n'); + +[bnet]=parameterLearning(bnet,cases); +%[predict_mean,predict_sd,q_sq]=looCrossValid(bnet,cases); +%engine=jtree_inf_engine(bnet); +%evidence=cell(1,nnodes); + +%varfile='var.txt'; +%fvar = fopen(varfile,'r'); +%select_var = fscanf(fvar,'%d'); +%select_var=map{select_var}; +%varfiled='vardata.txt'; +%fvard = fopen(varfiled,'r'); +%select_var_data = fscanf(fvard,'%f'); + +%evidence{select_var}=select_var_data; +%[engine,loglik]=enter_evidence(engine,evidence); + +%outdata='prediction.txt'; +%fout = fopen(outdata,'w'); + +%for ii = 1:nnodes + % i=map{ii}; + % data=marginal_nodes(engine,i); + % fprintf(fout,'%d\t%d\t%f\t%f\t%f\n',ii,data.domain,data.T,data.mu,data.Sigma); + %fprintf(1,'%d\n',i); +% end + +filename=strcat(pre,'net_figure.txt'); +drawFigure(nnodes,bnet,labels,filename,cases); + +%quit force; +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{1}=2; +%[engine,loglik]=enter_evidence(engine,evidence) +%marginal_nodes(engine,1) +%marginal_nodes(engine,2) +%marginal_nodes(engine,3) +%marginal_nodes(engine,4) +%marginal_nodes(engine,5) +%evidence{2}=0.6; +%evidence{1}=[]; +%[engine,loglik]=enter_evidence(engine,evidence); +%marginal_nodes(engine,3); +%marginal_nodes(engine,4); +%marginal_nodes(engine,5); +fclose(mapval); +fclose(mapfile); +end \ No newline at end of file diff --git a/sourcecodes/parameter_learning/standardizeData.m b/sourcecodes/parameter_learning/standardizeData.m new file mode 100644 index 00000000..61ea280e --- /dev/null +++ b/sourcecodes/parameter_learning/standardizeData.m @@ -0,0 +1,25 @@ +function [ cases ] = standardizeData( labels, node_sizes, cases ) +%standardizeData standardizes continuous nodes so they have a mean = 0 +% and standard deviation = 1 +% Detailed explanation goes here + +nnodes = size(labels,2); + +%fprintf(['Standardizing data for continuous nodes\n']) +for i = 1:nnodes + if node_sizes(i) == 1 + temp = cell2num(cases(i,:)); + [temp] = standardize(temp); + cases(i,:) = num2cell(temp); + end +end + +%write standardized data to file +%fprintf(['Standardized data is written to file standardized_data.txt\n']) +%fout = 'standardized_data.txt'; +%txt = sprintf([repmat('%s\t',1,size(labels,2))],labels{:}); +%dlmwrite(fout,txt,''); +%dlmwrite(fout,cell2num(cases'),'-append','delimiter','\t'); + +end + diff --git a/sourcecodes/parameter_learning/test/Agbcontinuous_input.txt b/sourcecodes/parameter_learning/test/Agbcontinuous_input.txt new file mode 100644 index 00000000..bcd9b88c --- /dev/null +++ b/sourcecodes/parameter_learning/test/Agbcontinuous_input.txt @@ -0,0 +1,103 @@ +GenotypeA GenotypeB Gene1 Gene2 Gene3 Gene4 +2 2 1 1 1 1 +1 1 0.0735451012188 0.807744827105 -0.141557122166 0.871977046116 +2 1 0.0783291492541 0.784023461068 0.501395957396 1.20598627055 +2 1 0.786243065384 0.978600201012 1.10615045137 0.91427570527 +2 1 -0.133165253244 1.09368397217 0.943147613583 1.28625182746 +2 1 0.849732696834 0.701697179341 1.1597647359 1.10898527576 +2 1 0.117358779641 1.27641582521 1.07600246132 0.837957699405 +1 2 0.260845541489 0.126507267356 0.134953769296 1.05166904426 +2 1 0.277734881926 1.07193390309 0.282304188176 1.11305323003 +1 2 0.23482774261 1.22992089679 0.0929753295409 1.16341704702 +1 2 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Gene1 Gene2 Gene3 Gene4 +0 0 0 1 0 1 +0 0 0 0 1 1 +0 0 0 0 0 0 +0 0 1 0 0 1 +0 0 0 0 0 0 +0 0 0 0 0 0 diff --git a/sourcecodes/parameter_learning/test/octave-core b/sourcecodes/parameter_learning/test/octave-core new file mode 100644 index 00000000..678fda92 Binary files /dev/null and b/sourcecodes/parameter_learning/test/octave-core differ diff --git a/sourcecodes/print_structure/index.html b/sourcecodes/print_structure/index.html index 429668c7..43d547ad 100644 --- a/sourcecodes/print_structure/index.html +++ b/sourcecodes/print_structure/index.html @@ -1,6 +1,6 @@ Bayesian Network Web Server - + diff --git a/sourcecodes/run_octave b/sourcecodes/run_octave new file mode 100644 index 00000000..3879280e --- /dev/null +++ b/sourcecodes/run_octave @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("../bnt-master"); +addpath(genpathKPM("../bnt-master")); +addpath("../parameter_learning"); +runBN_initial(arg_list{1}); diff --git a/sourcecodes/run_octave_evd b/sourcecodes/run_octave_evd new file mode 100644 index 00000000..9f661925 --- /dev/null +++ b/sourcecodes/run_octave_evd @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("../bnt-master"); +addpath(genpathKPM("../bnt-master")); +addpath("../parameter_learning"); +Predictmultiple(arg_list{1}); diff --git a/sourcecodes/run_octave_evd~ b/sourcecodes/run_octave_evd~ new file mode 100644 index 00000000..3879280e --- /dev/null +++ b/sourcecodes/run_octave_evd~ @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("../bnt-master"); +addpath(genpathKPM("../bnt-master")); +addpath("../parameter_learning"); +runBN_initial(arg_list{1}); diff --git a/sourcecodes/run_octave_inv b/sourcecodes/run_octave_inv new file mode 100644 index 00000000..85e4ad10 --- /dev/null +++ b/sourcecodes/run_octave_inv @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("../bnt-master"); +addpath(genpathKPM("../bnt-master")); +addpath("../parameter_learning"); +Predictmultipleintrvention(arg_list{1}); diff --git a/sourcecodes/run_octave_inv~ b/sourcecodes/run_octave_inv~ new file mode 100644 index 00000000..f9e568e3 --- /dev/null +++ b/sourcecodes/run_octave_inv~ @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("../bnt-master"); +addpath(genpathKPM("../bnt-master")); +addpath("../parameter_learning"); +Predictmultipleintervention(arg_list{1}); diff --git a/sourcecodes/run_octave~ b/sourcecodes/run_octave~ new file mode 100644 index 00000000..fe29d0d1 --- /dev/null +++ b/sourcecodes/run_octave~ @@ -0,0 +1,7 @@ +#!/usr/bin/octave -qf +cd ./data +arg_list = argv(); +addpath("/var/www/html/compbio/BNW_1.02/sourcecodes/bnt-master"); +addpath(genpathKPM("/var/www/html/compbio/BNW_1.02/sourcecodes/bnt-master")); +addpath("/var/www/html/compbio/BNW_1.02/sourcecodes/parameter_learning"); +runBN_initial(arg_list{1}); diff --git a/sourcecodes/runmat.sh.bk b/sourcecodes/runmat.sh.bk new file mode 100644 index 00000000..948bdac3 --- /dev/null +++ b/sourcecodes/runmat.sh.bk @@ -0,0 +1,7 @@ +#!/bin/bash + +cd ./data/ + +chmod 0774 $1run_initialstructure.sh + +./$1run_initialstructure.sh /usr/local/MATLAB/R2012a/ \ No newline at end of file diff --git a/sourcecodes/runmat_evd.sh.bk b/sourcecodes/runmat_evd.sh.bk new file mode 100644 index 00000000..68f30ca5 --- /dev/null +++ b/sourcecodes/runmat_evd.sh.bk @@ -0,0 +1,4 @@ +#!/bin/bash +cd ./data/ +chmod 0774 $1run_evidencemodified.sh +./$1run_evidencemodified.sh /usr/local/MATLAB/R2012a/ \ No newline at end of file diff --git a/sourcecodes/runmat_inv.sh.bk b/sourcecodes/runmat_inv.sh.bk new file mode 100644 index 00000000..1368b423 --- /dev/null +++ b/sourcecodes/runmat_inv.sh.bk @@ -0,0 +1,4 @@ +#!/bin/bash +cd ./data/ +chmod 0774 $1run_newintervention.sh +./$1run_newintervention.sh /usr/local/MATLAB/R2012a/ \ No newline at end of file -- cgit 1.4.1