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  Probabilistic inference in influence diagrams (1998) [21 citations — 0 self]

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by Nevin Lianwen Zhang
Computational Intelligence
http://www.cs.ust.hk/~lzhang/paper/pspdf/ci98.ps.gz
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Abstract:

This paper is about reducing influence diagram (ID) evaluation into Bayesian network (BN) inference problems that are as easy to solve as possible. Such reduction is interesting because it enables one to readily use one's favorite BN inference algorithm to efficiently evaluate IDs. Two such reduction methods have been proposed previously (Cooper 1988, Shachter and Peot 1992). This paper proposes a new method. The BN inference problems induced by the mew method are much easier to solve than those induced by the two previous methods.

Citations

4388 Probabilistic Reasoning in Intelligent Systems – Pearl - 1988
904 Local computations with probabilities on graphical structures and their applications to expert systems – Lauritzen, Spiegelhalter - 1988
275 Evaluating Influence Diagrams – Shachter - 1986
183 Bucket elimination: A unifying framework for probabilistic inference – Dechter - 1999
176 Context-specific independence in bayesian networks – Boutilier, Friedman, et al. - 1996
150 Nonserial Dynamic Programming – Bertele, Brioschi - 1972
91 Valuation-based systems for Bayesian decision analysis – Shenoy - 1992
88 From Influence Diagrams to Junction Trees – JENSEN, JENSEN, et al. - 1994
86 Probabilistic inference and influence diagrams – Shachter - 1988
86 Exploiting causal independence in bayesian network inference – Zhang, Poole - 1996
65 Dynamic programming and influence diagrams – Tatman, Shachter - 1990
48 Decision making using probabilistic inference methods – Shachter, Peot - 1992
36 A method for using belief networks as influence diagrams – Cooper - 1988
31 A simple approach to Bayesian network computations – Zhang, Poole - 1994
21 Potential influence diagrams – Ndilikilikesha - 1994