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authorziejd22017-09-28 15:04:40 -0500
committerziejd22017-09-28 15:04:40 -0500
commit8070dc963753142bb86c4ed698d91fd623ed28e7 (patch)
treed0f6dd8fc46a49b819aa55c1a90faa14d8448883 /sourcecodes/bnt-master/BNT/learning/learn_params_dbn_em.m
parent7cc31810d53176e805532b2789955f4eedbce6bb (diff)
downloadBNW-8070dc963753142bb86c4ed698d91fd623ed28e7.tar.gz
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
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+function [bnet, LL, engine] = learn_params_dbn_em(engine, evidence, varargin)
+% LEARN_PARAMS_DBN Set the parameters in a DBN to their ML/MAP values using batch EM.
+% [bnet, LLtrace, engine] = learn_params_dbn_em(engine, data, ...)
+%
+% data{l}{i,t} = value of node i in slice t of time-series l, or [] if hidden.
+%   Suppose you have L time series, each of length T, in an O*T*L array D, 
+%   where O is the num of observed scalar nodes, and N is the total num nodes per slice.
+%   Then you can create data as follows, where onodes is the index of the observable nodes:
+%      data = cell(1,L);
+%      for l=1:L
+%        data{l} = cell(N, T);
+%        data{l}(onodes,:) = num2cell(D(:,:,l));
+%      end
+% Of course it is possible for different sets of nodes to be observed in
+% each slice/ sequence, and for each sequence to be a different length.
+%
+% LLtrace is the learning curve: the vector of log-likelihood scores at each iteration.
+%
+% Optional arguments [default]
+%
+% max_iter - specifies the maximum number of iterations [100]
+% thresh - specifies the thresold for stopping EM [1e-3]
+%   We stop when |f(t) - f(t-1)| / avg < threshold,
+%   where avg = (|f(t)| + |f(t-1)|)/2 and f is log lik.
+% verbose - display loglik at each iteration [1]
+% anneal - 1 means do deterministic annealing (only for entropic priors) [0]
+% anneal_rate - geometric cooling rate [0.8]
+% init_temp - initial annealing temperature [10]
+% final_temp - final annealing temperature [1e-3]
+%
+
+max_iter = 100;
+thresh = 1e-3;
+anneal = 0;
+anneal_rate = 0.8;
+init_temp = 10;
+final_temp = 1e-3;
+verbose = 1;
+
+for i=1:2:length(varargin)
+  switch varargin{i}
+   case 'max_iter', max_iter = varargin{i+1}; 
+   case 'thresh', thresh = varargin{i+1}; 
+   case 'anneal', anneal = varargin{i+1}; 
+   case 'anneal_rate', anneal_rate = varargin{i+1}; 
+   case 'init_temp', init_temp = varargin{i+1}; 
+   case 'final_temp', final_temp = varargin{i+1}; 
+   otherwise, error(['unrecognized argument' varargin{i}])
+  end
+end
+
+% take 1 EM step at each temperature value, then when temp=0, run to convergence
+% When using an entropic prior, Z = 1-T, so 
+% T=2 => Z=-1 (max entropy)
+% T=1 => Z=0 (max likelihood)
+% T=0 => Z=1 (min entropy / max structure)
+num_iter = 1;
+LL = [];
+if anneal
+  temperature = init_temp;
+  while temperature > final_temp
+    [engine, loglik, logpost] = EM_step(engine, evidence, temperature);
+    if verbose
+      fprintf('EM iteration %d, loglik = %8.4f, logpost = %8.4f, temp=%8.4f\n', ...
+	      num_iter, loglik, logpost, temperature);
+    end
+    num_iter = num_iter + 1;
+    LL = [LL loglik];
+    temperature = temperature * anneal_rate;
+  end
+  temperature = 0;
+  previous_loglik = loglik;
+  previous_logpost = logpost;
+else
+  temperature = 0;
+  previous_loglik = -inf;
+  previous_logpost = -inf;
+end
+
+converged = 0;
+while ~converged & (num_iter <= max_iter)
+  [engine, loglik, logpost] = EM_step(engine, evidence, temperature);
+  if verbose
+    %fprintf('EM iteration %d, loglik = %8.4f, logpost = %8.4f\n', ...
+    %	    num_iter, loglik, logpost);
+    fprintf('EM iteration %d, loglik = %8.4f\n', num_iter, loglik);
+  end
+  num_iter = num_iter + 1;
+  [converged, decreased] = em_converged(loglik, previous_loglik, thresh);
+  %[converged, decreased] = em_converged(logpost, previous_logpost, thresh);
+  previous_loglik = loglik;
+  previous_logpost = logpost;
+  LL = [LL loglik];
+end
+
+bnet = bnet_from_engine(engine);
+
+%%%%%%%%%
+
+function [engine, loglik, logpost] = EM_step(engine, cases, temp)
+
+bnet = bnet_from_engine(engine); % engine contains the old params that are used for the E step
+ss = length(bnet.intra);
+CPDs = bnet.CPD; % these are the new params that get maximized
+num_CPDs = length(CPDs);
+
+% log P(theta|D) = (log P(D|theta) + log P(theta)) - log(P(D))
+% where log P(D|theta) = sum_cases log P(case|theta)
+% and log P(theta) = sum_CPDs log P(CPD) - only count once even if tied!
+% logpost = log P(theta,D) (un-normalized)
+% This should be negative, and increase at every step.
+
+adjustable = zeros(1,num_CPDs);
+logprior = zeros(1, num_CPDs);
+for e=1:num_CPDs
+  adjustable(e) = adjustable_CPD(CPDs{e});
+end
+adj = find(adjustable);
+
+for e=adj(:)'
+  logprior(e) = log_prior(CPDs{e});
+  CPDs{e} = reset_ess(CPDs{e});
+end
+
+loglik = 0;
+for l=1:length(cases)
+  evidence = cases{l};
+  if ~iscell(evidence)
+    error('training data must be a cell array of cell arrays')
+  end
+  [engine, ll] = enter_evidence(engine, evidence);
+  assert(~isnan(ll))
+  loglik = loglik + ll;
+  T = size(evidence, 2);
+  
+  % We unroll ns etc because in update_ess, we refer to nodes by their unrolled number
+  % so that they extract evidence from the right place.
+  % (The CPD should really store its own version of ns and cnodes...)
+  ns = repmat(bnet.node_sizes_slice(:), [1 T]);
+  cnodes = unroll_set(bnet.cnodes_slice, ss, T);
+ 
+  %hidden_bitv = repmat(bnet.hidden_bitv(1:ss), [1 T]);
+  hidden_bitv = zeros(ss, T);
+  hidden_bitv(isemptycell(evidence))=1;
+  % hidden_bitv(i) = 1 means node i is hidden.
+  % We pass this in, rather than using isemptycell(evidence(dom)), because
+  % isemptycell is very slow.
+  
+  t = 1;
+  for i=1:ss
+    e = bnet.equiv_class(i,1);
+    if adjustable(e)
+      fmarg = marginal_family(engine, i, t);
+      CPDs{e} = update_ess(CPDs{e}, fmarg, evidence, ns(:), cnodes(:), hidden_bitv(:)); 
+    end
+  end
+  
+  for i=1:ss   
+    e = bnet.equiv_class(i,2);
+    if adjustable(e)
+      for t=2:T
+	fmarg = marginal_family(engine, i, t);
+	CPDs{e} = update_ess(CPDs{e}, fmarg, evidence, ns(:), cnodes(:), hidden_bitv(:));
+      end
+    end
+  end
+end
+
+logpost = loglik + sum(logprior(:));
+
+for e=adj(:)'
+  CPDs{e} = maximize_params(CPDs{e}, temp);
+end
+
+engine = update_engine(engine, CPDs);
+
+
+
+