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

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Computingd-separates X fromsimplifies toso the first termWe can simplify the se<strong>co</strong>nd term by noting●Given X D-separates from the otherparents●Joint probability of independent variables issimply their product
ComputingThe last term can be simplified by splittingintoand noting thatis D-separated by X from the rest of
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Page 4: Inferences with Belief NetworksDiag
Page 7: Algorithm for Belief Networks thata
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Page 14 and 15: Answering Queries●X is the query
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Page 18 and 19: Computing P(X|E)Since X d-separates
Page 22 and 23: Computingd-separates X fromsimplifi
Page 24 and 25: ComputingWe can simplify the second
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Page 32 and 33: XXxXXXZ 1jXY 1XY nXZ njXX X X X
Page 34 and 35: ComputingBreakingcomponents ofinto
Page 36 and 37: ComputingBreakingcomponents ofinto
Page 38 and 39: XXxZ 1jY 1Z 1jXXXY 1X
Page 40 and 41: ComputingApply Bayes' rule to :
Page 42 and 43: Computing= because Z and X are d-se
Page 44 and 45: Computing= because Z and X are d-se
Page 46 and 47: xZ 11Y 1Z 1jZ 12Z 1jY 1
Page 48 and 49: Multiply-connected Belief NetworksC
Page 50: Inference with Multiply-connectedBe

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

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