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Valuation-Based Systems for Bayesian Decision Analysis
Shenoy, Prakash P.
Shenoy, Prakash P.
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Abstract
This paper proposes a new method for representing and solving Bayesian decision problems. The representation is called a valuation-based system and has some similari¬ties to influence diagrams. However, unlike influence diagrams which emphasize conditional independence among random variables, valuation-based systems emphasize factorizations of joint probability distributions. Also, whereas influence diagram representation allows only conditional probabilities, valuation-based system representation allows all probabilities. The solution method is a hybrid of local computational methods for computation of marginals of joint probability distributions and the local computational methods for discrete optimization problems. We briefly compare our representation and solution methods to those of influence diagrams
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Date
1992-05
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Operations Research Society of America
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Keywords
Decision analysis, Representation of decision problems, Dynamic programming, Valuation networks, Local computation
Citation
Shenoy, P. P., "Valuation-Based Systems for Bayesian Decision Analysis," Operations Research, Vol. 40, No. 3, May-June 1992, pp. 463--484.