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Bayesian networks

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Abstract Bayesian networks are defined, and the chain rule for Bayesian networks is stated. Outlines of algorithms provided: inference in Bayesian networks, sensitivity analysis, EM for parameter learning, and learning structure. Copyright © 2009 John Wiley & Sons, Inc. This article is categorized under: Statistical and Graphical Methods of Data Analysis > Bayesian Methods and Theory

In this causal network, we have ; ; ; ; .

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A triangulated graph extending the moral graph in Figure 8.

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A Bayesian network (a) with a nontriangulated moral graph (b).

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A junction tree for the Bayesian network in Figure 5. The oval nodes represent maximal cliques, the boxes (called separators) are channels for sending potentials over the intersection of the neighboring nodes.

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The domain graph for Φ from Figure 5.

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The moral graph for BN above.

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A simple Bayesian network, BN.

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A structure for the poker game. Two hidden variables OH0 and OH1 are introduced. OH2 is the variable for my opponent's final hand.

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A model for the insemination example. Both the blood test (BT) and the urine test (UT) measure the hormonal state (Ho).

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Statistical and Graphical Methods of Data Analysis > Bayesian Methods and Theory

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