2 q and then repeat the following recursion for t 2

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Unformatted text preview: ture 9 - Feb 6th, 2013 page 9-12 (of 180) k-best without the penalty Island Summary Scratch Computing Viterbi from max-margin - any case We start this process with the singleton max-marginal on the left ∗ q1 (1) ∈ argmax m1 (q ), (9.2) q and then repeat the following recursion, for t = 2 . . . T , as follows ∗ ∗ qt (1) ∈ argmax mt−1,t (qt−1 (1), q ), (9.3) q which, thanks to to Proposition 9.3.1, is guaranteed to be a Viterbi path. Max marginals seem to be powerful. Can we compute k -best using just them? Prof. Jeff Bilmes EE596A/Winter 2013/DGMs – Lecture 9 - Feb 6th, 2013 page 9-12 (of 180) k-best without the penalty Island Summary Scratch Computing 2nd best from max-margin Suppose we have identified the Viterbi (1st best) path, i.e., ∗ q1:T (1) ∈ DQ1:T such that ∗ p(¯1:T , q1:T (1)) ≥ p(¯1:T , q1:T ) x x (9.4) ∗ for all q1:T ∈ DQ1:T \ {q1:T (1)}. Prof. Jeff Bilmes EE596A/Winter 2013/DGMs – Lecture 9 - Feb 6th, 2013 page 9-13 (of 180) k-best without the penalty Island Summary Scratch Computing 2nd best from max-margin S...
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This document was uploaded on 04/05/2014.

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