Inside-Outside Estimation Meets Dynamic EM

Detlef Prescher

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Inside-Outside Estimation Meets Dynamic EM

Detlef Prescher

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Abstract

We briefly review the inside-outside and EM algorithm for probabilistic context-free grammars. As a result, we formally prove that inside-outside estimation is a dynamic-programming variant of EM. This is interesting in its own right, but even more when considered in a theoretical context since the well-known convergence behavior of inside-outside estimation has been confirmed by many experiments but apparently has never been formally proved. However, being a version of EM, inside-outside estimation also inherits the good convergence behavior of EM. Therefore, the as yet imperfect line of argumentation can be transformed into a coherent proof.

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Detlef Prescher. 2004-12-03. Inside-Outside Estimation Meets Dynamic EM. https://arxiv.org/abs/cs/0412016

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