Probabilistic finite-state machines--part I.

Vidal, Enrique; Thollard, Franck; de la Higuera, Colin; Casacuberta, Francisco; Carrasco, Rafael C · IEEE Trans Pattern Anal Mach Intell · 2005

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Abstract

Probabilistic finite-state machines are used today in a variety of areas in pattern recognition, or in fields to which pattern recognition is linked: computational linguistics, machine learning, time series analysis, circuit testing, computational biology, speech recognition, and machine translation are some of them. In Part I of this paper, we survey these generative objects and study their definitions and properties. In Part II, we will study the relation of probabilistic finite-state automata with other well-known devices that generate strings as hidden Markov models and n-grams and provide theorems, algorithms, and properties that represent a current state of the art of these objects.

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