comparison toolboxes/FullBNT-1.0.7/bnt/inference/static/@pearl_inf_engine/marginal_family.m @ 0:e9a9cd732c1e tip

first hg version after svn

+function m = marginal_family(engine, n, add_ev)
+% MARGINAL_FAMILY Compute the marginal on i's family (loopy)
+% m = marginal_family(engine, n, add_ev)
+
+if nargin < 3, add_ev = 0; end
+
+bnet = bnet_from_engine(engine);
+ns = bnet.node_sizes;
+ps = parents(bnet.dag, n);
+dom = [ps n];
+CPD = bnet.CPD{bnet.equiv_class(n)};
+
+switch engine.msg_type
+  case 'd',
+   % The method is similar to the following HMM equation:
+   % xi(i,j,t) = normalise( alpha(i,t) * transmat(i,j) * obsmat(j,t+1) * beta(j,t+1) )
+   % where xi(i,j,t) = Pr(Q(t)=i, Q(t+1)=j | y(1:T))   
+   % beta == lambda, alpha == pi, alpha from each parent = pi msg
+   % In general, if A,B are parents of C,
+   % P(A,B,C) = P(C|A,B) pi_msg(A->C) pi_msg(B->C) lambda(C)
+   % where lambda(C) = P(ev below and including C|C) = prod incoming lamba_msg(children->C)
+   % and pi_msg(X->C) = P(X|ev above) etc
+   
+   T = dpot(dom, ns(dom), CPD_to_CPT(CPD));
+   for j=1:length(ps)
+     p = ps(j);
+     pi_msg = dpot(p, ns(p), engine.msg{n}.pi_from_parent{j});
+     T = multiply_by_pot(T, pi_msg);
+   end         
+   lambda = dpot(n, ns(n), engine.msg{n}.lambda);
+   T = multiply_by_pot(T, lambda);
+   T = normalize_pot(T);
+   m = pot_to_marginal(T);
+   if ~add_ev
+     m.T = shrink_obs_dims_in_table(m.T, dom, engine.evidence);
+   end
+ case 'g',
+  if engine.disconnected_nodes_bitv(n)
+    m.T = 1;
+    m.domain = dom;
+    if add_ev
+      m = add_ev_to_dmarginal(m, engine.evidence, ns)
+    end
+    return;
+  end
+
+  [m, C, W] = gaussian_CPD_params_given_dps(CPD, dom, engine.evidence);
+  cdom = myintersect(dom, bnet.cnodes);
+  pot = linear_gaussian_to_cpot(m, C, W, dom, ns, cdom, engine.evidence); 
+  % linear_gaussian_to_cpot will set the effective size of observed nodes to 0,
+  % so we need to do this explicitely for the messages, too,
+  % so they are all the same size.
+  obs_bitv = ~isemptycell(engine.evidence);
+  ps = parents(engine.msg_dag, n);
+  for j=1:length(ps)
+    p = ps(j);
+    msg = engine.msg{n}.pi_from_parent{j};
+    if obs_bitv(p)
+      pi_msg = mpot(p, 0);
+    else
+      pi_msg = mpot(p, ns(p), 0, msg.mu, msg.Sigma);
+    end
+    pot = multiply_by_pot(pot, mpot_to_cpot(pi_msg));
+  end         
+  msg = engine.msg{n}.lambda;
+  if obs_bitv(n)
+    lambda = cpot(n, 0);
+  else
+    lambda = cpot(n, ns(n), 0, msg.info_state, msg.precision);
+  end
+  pot = multiply_by_pot(pot, lambda);
+  m = pot_to_marginal(pot);
+  if add_ev
+    m = add_evidence_to_gmarginal(m, engine.evidence, bnet.node_sizes, bnet.cnodes);
+  end
+end
+
+
+
+