Cognitive Systems II Contact: david@elsweiler.co.uk

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Multiply-<strong>co</strong>nnected Belief NetworksCloudyP(C) = 0.5CP(S)CP(R)T 0.1F 0.5SprinklerRainT 0.8F 0.2Wet GrassS R P(W)T T 0.99T F 0.9F T 0.9F F 0.00
Inference with Multiply-<strong>co</strong>nnectedBelief NetworksClustering methods– Transform the net into a probabilisticallyequivalent (but topologically different) Poly-Treeby merging problem nodesConditioning methods– Instantiate variables to definite values and thenevaluate a poly-tree for each possibleinstantiation
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Page 4: Inferences with Belief NetworksDiag
Page 7: Algorithm for Belief Networks thata
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Page 18 and 19: Computing P(X|E)Since X d-separates
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Page 24 and 25: ComputingWe can simplify the second
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Page 40 and 41: ComputingApply Bayes' rule to :
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Cognitive Systems II Contact: david@elsweiler.co.uk

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