annotate toolboxes/FullBNT-1.0.7/bnt/examples/static/SCG/scg_3node.m @ 0:cc4b1211e677 tip

initial commit to HG from Changeset: 646 (e263d8a21543) added further path and more save "camirversion.m"
author Daniel Wolff
date Fri, 19 Aug 2016 13:07:06 +0200
parents
children
rev   line source
Daniel@0 1 % This example is from Page.143 of "Probabilistic Networks and Expert Systems",
Daniel@0 2 % Cowell, Dawid, Lauritzen and Spiegelhalter, 1999, Springer.
Daniel@0 3
Daniel@0 4 X = 1; Y = 2; Z = 3;
Daniel@0 5 n = 3;
Daniel@0 6
Daniel@0 7 dag = zeros(n);
Daniel@0 8 dag(X, Y)=1;
Daniel@0 9 dag(Y, Z)=1;
Daniel@0 10
Daniel@0 11 ns = ones(1, n);
Daniel@0 12 dnodes = [];
Daniel@0 13
Daniel@0 14 bnet = mk_bnet(dag, ns, dnodes);
Daniel@0 15 bnet.CPD{X} = gaussian_CPD(bnet, X, 'mean', 0, 'cov', 1);
Daniel@0 16 bnet.CPD{Y} = gaussian_CPD(bnet, Y, 'mean', 0, 'cov', 1, 'weights', 1);
Daniel@0 17 bnet.CPD{Z} = gaussian_CPD(bnet, Z, 'mean', 0, 'cov', 1, 'weights', 1);
Daniel@0 18
Daniel@0 19 engines = {};
Daniel@0 20 engines{end+1} = jtree_inf_engine(bnet);
Daniel@0 21 engines{end+1} = stab_cond_gauss_inf_engine(bnet);
Daniel@0 22 nengines = length(engines);
Daniel@0 23
Daniel@0 24 evidence = cell(1,n);
Daniel@0 25 evidence{Y} = 1.5;
Daniel@0 26
Daniel@0 27 for e=1:nengines
Daniel@0 28 engines{e} = enter_evidence(engines{e}, evidence);
Daniel@0 29 margX = marginal_nodes(engines{e}, X);
Daniel@0 30 assert(approxeq(margX.mu, 0.75))
Daniel@0 31 assert(approxeq(margX.Sigma, 0.5))
Daniel@0 32
Daniel@0 33 margZ = marginal_nodes(engines{e}, Z);
Daniel@0 34 assert(approxeq(margZ.mu, 1.5))
Daniel@0 35 assert(approxeq(margZ.Sigma, 1))
Daniel@0 36 end
Daniel@0 37
Daniel@0 38
Daniel@0 39 evidence = cell(1,n);
Daniel@0 40 evidence{Z} = 1.5;
Daniel@0 41
Daniel@0 42 for e=1:nengines
Daniel@0 43 engines{e} = enter_evidence(engines{e}, evidence);
Daniel@0 44 margX = marginal_nodes(engines{e}, X);
Daniel@0 45 assert(approxeq(margX.mu, 1/2))
Daniel@0 46 assert(approxeq(margX.Sigma, 2/3))
Daniel@0 47
Daniel@0 48 margY = marginal_nodes(engines{e}, Y);
Daniel@0 49 assert(approxeq(margY.mu, 1))
Daniel@0 50 assert(approxeq(margY.Sigma, 2/3))
Daniel@0 51 end
Daniel@0 52