annotate toolboxes/FullBNT-1.0.7/bnt/CPDs/@noisyor_CPD/CPD_to_CPT.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
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Daniel@0 1 function CPT = CPD_to_CPT(CPD)
Daniel@0 2 % CPD_TO_CPT Convert the discrete CPD to tabular form (noisyor)
Daniel@0 3 % CPT = CPD_to_CPT(CPD)
Daniel@0 4 %
Daniel@0 5 % CPT(U1,...,Un, X) = Pr(X|U1,...,Un) where the Us are the parents (excluding leak).
Daniel@0 6
Daniel@0 7 if ~isempty(CPD.CPT)
Daniel@0 8 CPT = CPD.CPT; % remember to flush cache if params change (e.g., during learning)
Daniel@0 9 return;
Daniel@0 10 end
Daniel@0 11
Daniel@0 12 q = [CPD.leak_inhibit CPD.inhibit(:)'];
Daniel@0 13 % q(i) is the prob. that the i'th parent will be inhibited (flipped from 1 to 0).
Daniel@0 14 % q(1) is the leak inhibition probability, and length(q) = n + 1.
Daniel@0 15
Daniel@0 16 if length(q)==1
Daniel@0 17 CPT = [q 1-q];
Daniel@0 18 return;
Daniel@0 19 end
Daniel@0 20
Daniel@0 21 n = length(q);
Daniel@0 22 Bn = ind2subv(2*ones(1,n), 1:(2^n))-1; % all n bit vectors, with the left most column toggling fastest (LSB)
Daniel@0 23 CPT = zeros(2^n, 2);
Daniel@0 24 % Pr(X=0 | U_1 .. U_n) = prod_{i: U_i = on} q_i = prod_i q_i ^ U_i = exp(u' * log(q_i))
Daniel@0 25 % This method is problematic when q contains zeros
Daniel@0 26
Daniel@0 27 Q = repmat(q(:)', 2^n, 1);
Daniel@0 28 Q(logical(~Bn)) = 1;
Daniel@0 29 CPT(:,1) = prod(Q,2);
Daniel@0 30 CPT(:,2) = 1-CPT(:,1);
Daniel@0 31
Daniel@0 32 CPT = reshape(CPT(2:2:end), 2*ones(1,n)); % skip cases in which the leak is off
Daniel@0 33
Daniel@0 34 CPD.CPT = CPT;