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Dynamic Programming for solving
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FIXED ALIGNMENT DECODING
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efficiently . Note that each
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time algorithm for the problem
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. Recall that in FIXED ALIGNMENT
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4 A Linear Time Algorithm for
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A key component of all our algorithms
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optimal translation ^ e by solving
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, i.e. , ^ e = argmaxe Pr ( f
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problem specified by Equation 4 as
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. What Observation 1 is saying
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later , the optimal solution for
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can be com - puted in O ( m )
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ALIGNMENT DECODING . Recall that in
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, we are given the target length
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translation e for f by solving
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. For this purpose it employs
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iteration it solves two subproblems :
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and VITERBI ALIGNMENT . The input
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( f , ~ a | e ) Pr ( e ) . As
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can be solved in O ( m ) time
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