决策树生成原理

决策树生成原理

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时间:2019-09-04

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1、决策树生成原理AbstractThispaperdetailstheID3classificationalgorithm.Verysimply,ID3buildsadecisiontreefromafixedsetofexamples.Theresultingtreeisusedtoclassifyfuturesamples.Theexamplehasseveralattributesandbelongstoaclass(likeyesorno).Theleafnodesofthedecisiont

2、reecontaintheclassnamewhereasanon-leafnodeisadecisionnode・Thedecisionnodeisanattributetestwitheachbranch(toanotherdecisiontree)beingapossiblevalueoftheattribute.ID3usesinformationgaintohelpitdecidewhichattributegoesintoadecisionnode・Theadvantageoflearn

3、ingadecisiontreeisthataprogram,ratherthanaknowledgeengineer,elicitsknowledgefromanexpert・IntroductionJ.RossQuinlanoriginallydevelopedID3attheUniversityofSydney・HefirstpresentedID3in1975inabook,MachineLearning,vol.1,no.1.ID3isbasedofftheConceptLearningS

4、ystem(CLS)algorithm.ThebasicCLSalgorithmoverasetoftraininginstancesC:Step1:IfallinstancesinCarcpositive,thencreateYESnodeandhalt.IfallinstancesinCarenegative,createaNOnodeandhalt.Otherwiseselectafeature,Fwithvaluesvl,vnandcreateadecisionnode・Step2:Part

5、itionthetraininginstancesinCintosubsetsCl,C2,…,CnaccordingtothevaluesofV.Step3:applythealgorithmrecursivelytoeachofthesetsCi.Note,thetrainer(theexpert)decideswhichfeaturetoselect.ID3improvesonCLSbyaddingafeatureselectionheuristic・ID3searchesthroughthea

6、ttributesofthetraininginstancesandextractstheattributethatbestseparatesthegivenexamples・IftheattributeperfectlyclassifiesthetrainingsetsthenID3stops;otherwiseitrecursivelyoperatesonthen(wheren=numberofpossiblevaluesofanattribute)partitionedsubsetstoget

7、their”best”attribute.Thealgorithmusesagreedysearch,thatis,itpicksthebestattributeandneverlooksbacktoreconsiderearlierchoices・DiscussionID3isanonincrementalalgorithm,meaningitderivesitsclassesfromafixedsetoftraininginstances-Anincrementalalgorithmrevise

8、sthecurrentconceptdefinition,ifnecessary,withanewsample・Theclassescreatedby1D3areinductive,thatis,givenasmallsetoftraininginstances,thespecificclassescreatedbyID3areexpectedtoworkforallfutureinstances・Thedistributionoftheunknownsmustbet

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