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Exploiting Tractable Substructures in Intractable Networks (1995)  (Make Corrections)  (68 citations)
Lawrence Saul, Michael I. Jordan
Advances in Neural Information Processing Systems



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Abstract: We develop a refined mean field approximation for inference and learning in probabilistic neural networks. Our mean field theory, unlike most, does not assume that the units behave as independent degrees of freedom; instead, it exploits in a principled way the existence of large substructures that are computationally tractable. To illustrate the advantages of this framework, we show how to incorporate weak higher order interactions into a first-order hidden Markov model, treating the... (Update)

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BibTeX entry:   (Update)

L.K. Saul and M.I. Jordan. Exploiting tractable substructure in intractable networks. In Proc. NIPS, 1995. http://citeseer.ist.psu.edu/saul95exploiting.html   More

@inproceedings{ saul96exploiting,
    author = "Lawrence K. Saul and Michael I. Jordan",
    title = "Exploiting Tractable Substructures in Intractable Networks",
    booktitle = "Advances in Neural Information Processing Systems",
    volume = "8",
    publisher = "The {MIT} Press",
    editor = "David S. Touretzky and Michael C. Mozer and Michael E. Hasselmo",
    pages = "486--492",
    year = "1996",
    url = "citeseer.ist.psu.edu/saul95exploiting.html" }
Citations (may not include all citations):
2528   Maximum likelihood from incomplete data via the EM algorithm (context) - Dempster, Laird et al. - 1977
240   Advances in Neural Information Processing Systems (context) - Tesauro, Touretzky et al. - 1994
84   A mean field theory learning algorithm for neural networks (context) - Peterson, Anderson - 1987
41   Boltzmann chains and hidden Markov models - Saul, Jordan - 1995
30   Hidden Markov models for speech recognition (context) - Juang, Rabiner - 1991
23   Learning in Boltzmann trees - Saul, Jordan - 1994
2   The Gibbs machine applied to hidden Markov model problems (context) - Luttrell - 1989
1   Royal Signals and Radar Establishment: SP Research Note (context) - Signals, SP et al. - 1988
1   Mean field networks that learn to discriminate temporally di.. (context) - Hunter, Proc et al. - 1990



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