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    Inference in Hybrid Bayesian Networks Using Mixtures of Gaussians

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    UAI06.pdf (2.433Mb)
    Issue Date
    2006-07
    Author
    Shenoy, Prakash P.
    Publisher
    AUAI Press, Corvallis, OR
    Format
    2551666 bytes
    Type
    Article
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    Abstract
    The main goal of this paper is to describe a method for exact inference in general hybrid Bayesian networks (BNs) (with a mixture of discrete and continuous chance variables). Our method consists of approximating general hybrid Bayesian networks by a mixture of Gaussians (MoG) BNs. There exists a fast algorithm by Lauritzen-Jensen (LJ) for making exact inferences in MoG Bayesian networks, and there exists a commercial implementation of this algorithm. However, this algorithm can only be used for MoG BNs. Some limitations of such networks are as follows. All continuous chance variables must have conditional linear Gaussian distributions, and discrete chance nodes cannot have continuous parents. The methods described in this paper will enable us to use the LJ algorithm for a bigger class of hybrid Bayesian networks. This includes networks with continuous chance nodes with non-Gaussian distributions, networks with no restrictions on the topology of discrete and continuous variables, networks with conditionally deterministic variables that are a nonlinear function of their continuous parents, and networks with continuous chance variables whose variances are functions of their parents.
    URI
    http://hdl.handle.net/1808/997
    ISBN
    0-9749039-2-2
    Collections
    • Distinguished Professors Scholarly Works [918]
    • School of Business Scholarly Works [212]
    Citation
    Shenoy, P. P., "Inference in hybrid Bayesian networks using mixtures of Gaussians," in R. Dechter and T. Richardson (eds.), Uncertainty in Artificial Intelligence: Proceedings of the Twenty-Second Conference (UAI-06), 2006, pp. 428--436, AUAI Press, Corvallis, OR.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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