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Approximating probability density functions in hybrid Bayesian networks with mixtures of truncated exponentials
Cobb, Barry R. Shenoy, Prakash P. Rumi, Rafael
Cobb, Barry R.
Shenoy, Prakash P.
Rumi, Rafael
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Abstract
Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization and Monte Carlo methods for solving hybrid Bayesian networks. Any probability density function (PDF) can be approximated by an MTE potential, which can always be marginalized in closed form. This allows propagation to be done exactly using the Shenoy-Shafer architecture for computing marginals, with no restrictions on the construction of a join tree. This paper presents MTE potentials that approximate standard PDF’s and applications of these potentials for solving inference problems in hybrid Bayesian networks. These approximations will extend the types of inference problems that can be modeled with Bayesian networks, as demonstrated using three examples.
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Date
2006-09
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Publisher
Springer Netherlands
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Keywords
Graphs and networks, Probabilistic computation, Mixtures of truncated exponentials, Hybrid Bayesian networks
Citation
Cobb, B. R., P. P. Shenoy, and R. Rumi "Approximating probability density functions in hybrid Bayesian networks with mixtures of truncated exponentials," Statistics and Computing, Vol. 16, No. 3, 2006, pp. 293--308.