comparison toolboxes/FullBNT-1.0.7/bnt/examples/static/Models/mk_incinerator_bnet.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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-1:000000000000 0:e9a9cd732c1e
1 function bnet = mk_incinerator_bnet(ns)
2 % MK_INCINERATOR_BNET The waste incinerator emissions example from Cowell et al p145
3 % function bnet = mk_incinerator_bnet(ns)
4 %
5 % If ns is omitted, we use the scalars and binary nodes and the original params.
6 % Otherwise, we use random params of the desired size.
7 %
8 % Lauritzen, "Propogation of Probabilities, Means and Variances in Mixed Graphical Association Models",
9 % JASA 87(420): 1098--1108
10 % This example is reprinted on p145 of "Probabilistic Networks and Expert Systems",
11 % Cowell, Dawid, Lauritzen and Spiegelhalter, 1999, Springer.
12 % For a picture, see http://www.cs.berkeley.edu/~murphyk/Bayes/usage.html#cg_model
13
14 % node numbers
15 F = 1; W = 2; E = 3; B = 4; C = 5; D = 6; Min = 7; Mout = 8; L = 9;
16 names = {'F', 'W', 'E', 'B', 'C', 'D', 'Min', 'Mout', 'L'};
17 n = 9;
18 dnodes = [F W B];
19 cnodes = mysetdiff(1:n, dnodes);
20
21 % node sizes - all cts nodes are scalar, all discrete nodes are binary
22 if nargin < 1
23 ns = ones(1, n);
24 ns(dnodes) = 2;
25 rnd = 0;
26 else
27 rnd = 1;
28 end
29
30 % topology (p 1099, fig 1)
31 dag = zeros(n);
32 dag(F,E)=1;
33 dag(W,[E Min D]) = 1;
34 dag(E,D)=1;
35 dag(B,[C D])=1;
36 dag(D,[L Mout])=1;
37 dag(Min,Mout)=1;
38
39 % params (p 1102)
40 bnet = mk_bnet(dag, ns, 'discrete', dnodes, 'names', names);
41
42 if rnd
43 for i=dnodes(:)'
44 bnet.CPD{i} = tabular_CPD(bnet, i);
45 end
46 for i=cnodes(:)'
47 bnet.CPD{i} = gaussian_CPD(bnet, i);
48 end
49 else
50 bnet.CPD{B} = tabular_CPD(bnet, B, 'CPT', [0.85 0.15]); % 1=stable, 2=unstable
51 bnet.CPD{F} = tabular_CPD(bnet, F, 'CPT', [0.95 0.05]); % 1=intact, 2=defect
52 bnet.CPD{W} = tabular_CPD(bnet, W, 'CPT', [2/7 5/7]); % 1=industrial, 2=household
53 bnet.CPD{E} = gaussian_CPD(bnet, E, 'mean', [-3.9 -0.4 -3.2 -0.5], ...
54 'cov', [0.00002 0.0001 0.00002 0.0001]);
55 bnet.CPD{D} = gaussian_CPD(bnet, D, 'mean', [6.5 6.0 7.5 7.0], ...
56 'cov', [0.03 0.04 0.1 0.1], 'weights', [1 1 1 1]);
57 bnet.CPD{C} = gaussian_CPD(bnet, C, 'mean', [-2 -1], 'cov', [0.1 0.3]);
58 bnet.CPD{L} = gaussian_CPD(bnet, L, 'mean', 3, 'cov', 0.25, 'weights', -0.5);
59 bnet.CPD{Min} = gaussian_CPD(bnet, Min, 'mean', [0.5 -0.5], 'cov', [0.01 0.005]);
60 bnet.CPD{Mout} = gaussian_CPD(bnet, Mout, 'mean', 0, 'cov', 0.002, 'weights', [1 1]);
61 end