📄 add_hhmm_end_state.m
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function A = add_hhmm_end_state(transprob, termprob)
% ADD_HMM_END_STATE Combine trans and term probs into transmat for automaton with an end state
% function A = add_hhmm_end_state(transprob, termprob)
%
% A(i,k,j) = Pr( i->j | Qps=k), where i in 1:Q, j in 1:(Q+1), and Q+1 is the end state
% This implements the equation in sec 4.6 of my tech report, where
% transprob(i,k,j) = \tilde{A}_k(i,j), termprob(k,j) = \tau_k(j)
%
% For the top level, the k index is missing.
Q = size(transprob,1);
toplevel = (ndims(transprob)==2);
if toplevel
Qk = 1;
transprob = reshape(transprob, [Q 1 Q]);
termprob = reshape(termprob, [1 Q]);
else
Qk = size(transprob, 2);
end
A = zeros(Q, Qk, Q+1);
A(:,:,Q+1) = termprob';
for k=1:Qk
for i=1:Q
for j=1:Q
A(i,k,j) = transprob(i,k,j) * (1-termprob(k,i));
end
end
end
if toplevel
A = squeeze(A);
end
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