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The paper proposes a numerically stable recursive algorithm for the exactcomputation of the linear-chain conditional random field gradient. It operatesas a forward algorithm over the log-domain expectation semiring and has thepurpose of enhancing memory efficiency when applied to long observationsequences. Unlike the traditional algorithm based on the forward-backwardrecursions, the memory complexity of our algorithm does not depend on thesequence length. The experiments on real data show that it can be useful forthe problems which deal with long sequences.

Gradient Computation In Linear-Chain Conditional Random Fields Using The Entropy Message Passing Algorithm