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On the Computational Complexity of Approximating Distributions by Probabilistic Automata (1990)  (Make Corrections)  (50 citations)
Naoki Abe, Manfred K. Warmuth
Proceedings of the Third Workshop on Computational Learning Theory



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Abstract: We introduce a rigorous performance criterion for training algorithms for probabilistic automata (PAs) and hidden Markov models (HMMs), used extensively for speech recognition, and analyze the complexity of the training problem as a computational problem. The PA training problem is the problem of approximating an arbitrary, unknown source distribution by distributions generated by a PA. We investigate the following question about this important, well-studied problem: Does there exist an... (Update)

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BibTeX entry:   (Update)

N. Abe and M. Warmuth. On the computational complexity of approximating distributions by probabilistic automata. Machine Learning, 9:205--260, 1992. http://citeseer.ist.psu.edu/article/abe90computational.html   More

@inproceedings{ abe90computational,
    author = "Naoki Abe and Manfred Warmuth",
    title = "On the computational complexity of approximating distributions by probabilistic automata",
    booktitle = "Proceedings of the Third Workshop on Computational Learning Theory",
    publisher = "Morgan Kaufmann",
    pages = "52--66",
    year = "1990",
    url = "citeseer.ist.psu.edu/article/abe90computational.html" }
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