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Probabilistic independence networks for hidden Markov probability models (1996)
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BibTeX
@MISC{Smyth96probabilisticindependence,
author = {Padhraic Smyth and David Heckerman and Michael I. Jordan},
title = {Probabilistic independence networks for hidden Markov probability models},
year = {1996}
}
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Abstract
Graphical techniques for modeling the dependencies of random variables have been explored in a variety of different areas including statistics, statistical physics, artificial intelligence, speech recognition, image processing, and genetics. Formalisms for manipulating these models have been developed relatively independently in these research communities. In this paper we explore hidden Markov models (HMMs) and related structures within the general framework of probabilistic independence networks (PINs). The paper contains a self-contained review of the basic principles of PINs. It is shown that the well-known forward-backward (F-B) and Viterbi algorithms for HMMs are special cases of more general inference algorithms for arbitrary PINs. Furthermore, the existence of inference and estimation algorithms for more general graphical models provides a set of analysis tools for HMM practitioners who wish to explore a richer class of HMM structures. Examples of relatively complex models to handle sensor fusion and coarticulation in speech recognition are introduced and treated within the graphical model framework to illustrate the advantages of the general approach.
Keyphrases
probabilistic independence network hidden markov probability model speech recognition well-known forward-backward different area self-contained review arbitrary pin special case image processing analysis tool estimation algorithm general graphical model general framework basic principle hmm structure random variable graphical technique general approach artificial intelligence graphical model framework statistical physic hidden markov model complex model general inference algorithm sensor fusion research community viterbi algorithm related structure hmm practitioner
