General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle.

General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle. Research Abstract Details 

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General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle. Abstract Text:

L Yan,D J Miller,

We propose a method for learning a general statistical inference engine, operating on discrete and mixed discrete/continuous feature spaces. Such a model allows inference on any of the discrete features, given values for the remaining features. Applications are, e.g., to medical diagnosis with multiple possible diseases, fault diagnosis, information retrieval, and imputation in databases. Bayesian networks (BNs) are versatile tools that possess this inference capability. However, BNs require explicit specification of conditional independencies, which may be difficult to assess given limited data. Alternatively, Cheeseman (1983) proposed finding the maximum entropy (ME) joint probability mass function (pmf) consistent with arbitrary lower order probability constraints. This approach is in principle powerful and does not require explicit expression of conditional independence. However, until now the huge learning complexity has severely limited the use of this approach. Here we propose an approximate ME method, which also encodes arbitrary low-order constraints but while retaining quite tractable learning. Our method uses a restriction of joint pmf support (during learning) to a subset of the feature space. Results on the University of California-Irvine repository reveal performance gains over several BN approaches and over multilayer perceptrons.

General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle. Publishing Authors By Initials

L Yan,DJ Miller,

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General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: IEEE transactions on neural networks / a publicati

VOLUME: 11

Page Numbers: 558-73

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ISSN: 1045-9227

DAY: 5

MONTH: 02

YEAR: 2000

General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle. Information

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LANGUAGE: eng

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Grant and Affiliation Information for General statistical inference for discrete and mixed spaces by an approximate application of the maximum entropy principle.

AFFILIATION: Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA.

Country: United States

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MEDLINETA: IEEE Trans Neural Netw

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