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Probabilistic Finite State Automata - Part I AbstractProbabilistic finite state automata 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 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 like 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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