Unsupervised estimation for noisy-channel models

  • Authors:
  • Markos Mylonakis;Khalil Sima'an;Rebecca Hwa

  • Affiliations:
  • University of Amsterdam, Amsterdam, Netherlands;University of Amsterdam, Amsterdam, Netherlands;University of Pittsburgh, Pittsburgh, PA

  • Venue:
  • Proceedings of the 24th international conference on Machine learning
  • Year:
  • 2007

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Abstract

Shannon's Noisy-Channel model, which describes how a corrupted message might be reconstructed, has been the corner stone for much work in statistical language and speech processing. The model factors into two components: a language model to characterize the original message and a channel model to describe the channel's corruptive process. The standard approach for estimating the parameters of the channel model is unsupervised Maximum-Likelihood of the observation data, usually approximated using the Expectation-Maximization (EM) algorithm. In this paper we show that it is better to maximize the joint likelihood of the data at both ends of the noisy-channel. We derive a corresponding bi-directional EM algorithm and show that it gives better performance than standard EM on two tasks: (1) translation using a probabilistic lexicon and (2) adaptation of a part-of-speech tagger between related languages.