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1、Chapter9Na¨ıveBayesDavidJ.HandContents9.1Introduction...........................................................1639.2AlgorithmDescription.................................................1649.3PowerDespiteIndependence...........................................1679.4ExtensionsoftheMo
2、del...............................................1699.5SoftwareImplementations..............................................1719.6Examples..............................................................1719.6.1Example1......................................................1719.6.2Exam
3、ple2......................................................1739.7AdvancedTopics.......................................................1749.8Exercises..............................................................175References............................................................
4、......1769.1IntroductionGivenasetofobjects,eachofwhichbelongstoaknownclass,andeachofwhichhasaknownvectorofvariables,ouraimistoconstructarulewhichwillallowustoassignfutureobjectstoaclass,givenonlythevectorsofvariablesdescribingthefutureobjects.Problemsofthiskind,calledproblemsofsuper
5、visedclassification,areubiquitous,andmanymethodsforconstructingsuchruleshavebeendeveloped.Oneveryimportantmethodisthena¨ıveBayesmethod—alsocalledidiot’sBayes,simpleBayes,andindependenceBayes.Thismethodisimportantforseveralreasons,includingthefollowing.Itisveryeasytoconstruct,notneedi
6、nganycomplicatediterativeparameterestimationschemes.Thismeansitmaybereadilyappliedtohugedatasets.Itiseasytointerpret,sousersunskilledinclassifiertechnologycanun-derstandwhyitismakingtheclassificationitmakes.And,particularlyimportant,itoftendoessurprisinglywell:Itmaynotbethebestpossibl
7、eclassifierinanygivenapplication,butitcanusuallybereliedontoberobustandtodoquitewell.Forexample,inanearlyclassicstudycomparingsupervisedclassificationmethods,Tit-teringtonetal.(1981)foundthattheindependencemodelyieldedthebestoverallresult,whileManietal.(1997)foundthatthemodelwasmostef
8、fectiveinpredicting
