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Title: Hybrid Influence Diagrams Using Mixtures of Truncated Exponentials
Authors: Cobb, Barry R.
Shenoy, Prakash P.
Keywords: Influence diagrams
Hybrid Bayesian networks
Mixtures of truncated exponentials
Issue Date: Jul-2004
Publisher: Association for Uncertainty in Artificial Intelligence
Extent: 279654 bytes
Type: Book chapter
Citation: M. Chickering and J. Halpern (eds.), Uncertainty in Artificial Intelligence (UAI-04), 2004, pp. 85--93, AUAI Press, Arlington, VA
Abstract: Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization for representing continuous chance variables in influence diagrams. Also, MTE potentials can be used to approximate utility functions. This paper introduces MTE influence diagrams, which can represent decision problems without restrictions on the relationships between continuous and discrete chance variables, without limitations on the distributions of continuous chance variables, and without limitations on the nature of the utility functions. In MTE influence diagrams, all probability distributions and the joint utility function (or its multiplicative factors) are represented by MTE potentials and decision nodes are assumed to have discrete state spaces. MTE influence diagrams are solved by variable elimination using a fusion algorithm.
Description: This is a short 9-pp version of a longer un-published working paper titled "Decision Making with Hybrid Influence Diagrams Using Mixtures of Truncated Exponentials," School of Business Working Paper No. 304, May 2004, Lawrence, KS.
URI: http://hdl.handle.net/1808/151
ISBN: 0-9749039-0-6
Appears in Collections:School of Business Articles

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