Learning Bayesian Networks - Neapolitan R. E.

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1、LearningBayesianNetworksRichardE.NeapolitanNortheasternIllinoisUniversityChicago,IllinoisInmemoryofmydad,adifficultbutlovingfather,whoraisedmewell.www.aibbt.com专注人工智能iiwww.aibbt.com专注人工智能ContentsPrefaceixIBasics11IntroductiontoBayesianNetworks31.1BasicsofProbabilityTheory...

2、.................51.1.1ProbabilityFunctionsandSpaces..............61.1.2ConditionalProbabilityandIndependence.........91.1.3Bayes’Theorem.......................121.1.4RandomVariablesandJointProbabilityDistributions..131.2BayesianInference..........................201.2.1Ra

3、ndomVariablesandProbabilitiesinBayesianApplica-tions..............................201.2.2ADefinitionofRandomVariablesandJointProbabilityDistributionsforBayesianInference............241.2.3AClassicalExampleofBayesianInference.........271.3LargeInstances/BayesianNetworks.....

4、...........291.3.1TheDifficultiesInherentinLargeInstances........291.3.2TheMarkovCondition....................311.3.3BayesianNetworks......................401.3.4ALargeBayesianNetwork.................431.4CreatingBayesianNetworksUsingCausalEdges.........431.4.1AscertainingCa

5、usalInfluencesUsingManipulation....441.4.2CausationandtheMarkovCondition...........512MoreDAG/ProbabilityRelationships652.1EntailedConditionalIndependencies................662.1.1ExamplesofEntailedConditionalIndependencies.....662.1.2d-Separation.........................702

6、.1.3Findingd-Separations....................762.2MarkovEquivalence.........................842.3EntailingDependencieswithaDAG................922.3.1Faithfulness..........................95iiiwww.aibbt.com专注人工智能ivCONTENTS2.3.2EmbeddedFaithfulness...................992.4Mini

7、mality..............................1042.5MarkovBlanketsandBoundaries..................1082.6MoreonCausalDAGs........................1102.6.1TheCausalMinimalityAssumption............1102.6.2TheCausalFaithfulnessAssumption............1112.6.3TheCausalEmbeddedFaithfulnessAss

8、umption.....112IIInference1213Inference:DiscreteVariables1233.1ExamplesofInference.......