Inside-Outside Estimation Meets Dynamic EM

Inside-Outside Estimation Meets Dynamic EM

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...

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Veröffentlicht in:arXiv.org 2004-12
1. Verfasser: Prescher, Detlef
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Grammars
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description 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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Grammars
title Inside-Outside Estimation Meets Dynamic EM
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