1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
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
|