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+% 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);
+