abstract differential evolution and non-separability using selective pressure to focus sear

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1、DifferentialEvolutionandNon-separability:UsingselectivepressuretofocussearchAndrewM.SuttonMonteLunacekL.DarrellWhitleyDepartmentofComputerScienceColoradoStateUniversityFortCollins,CO80523{sutton,lunacek,whitley}@cs.colostate.eduABSTRACTtor.Thisdescribesapotentialhyper-rectangle,wit

2、htheindividualanditsmutantvectorinopposingcorners,onRecentresultsshowthattheDifferentialEvolutionalgo-whichthenewindividualwilllie.Ofcourse,thesidesofrithmhassignificantdifficultyonfunctionsthatarenotlin-thishyper-rectangleareorientedwiththecoordinateaxes,earlyseparable.Onsuchfunctions

3、,thealgorithmmustrelymakingsearchstepsgeneratedbycrossoverorthogonaltoprimarilyonitsdifferentialmutationprocedurewhich,un-thefunction’scoordinatedirections.Thisoperationiscon-likeitsrecombinationstrategy,isrotationallyinvariant.WetrolledbythecrossoverratevalueCRwhichspecifiestheconje

4、cturethatthismutationstrategylackssufficientselec-expectednumberofparametersinheritedfromthemutanttivepressurewhenappointingparentanddonorvectorstovector.Essentially,CRdeterminestheexpecteddimensionhavesatisfactoryexploitativepoweronnon-separablefunc-ofthesubspaceinwhichtheoffspringwi

5、lllie.tions.Wefindthatimposingpressureintheformofrank-Recentresults[10,3]suggestthatDEstruggleswithfunc-baseddifferentialmutationresultsinasignificantimprove-tionsthatarenotlinearlyseparable.Weconjecturethatmentofexploitationonrotatedbenchmarks.DE’sbiastowardseparabilityarisesfromineffi

6、cientexploita-tionduringthedifferentialmutationstep.InthispaperweCategoriesandSubjectDescriptorswillexplorethefollowingtwohypotheses.I.2.8[ArtificialIntelligence]:ProblemSolving,Control1.WhenCRislow,DEcanexploittheseparabilityofMethods,andSearch;G.1.6[NumericalAnalysis]:Opti-afunctio

7、nbyrelyingoncrossovertoproduceaxis-mization—GlobalOptimizationorthogonalsteps.Onnon-separablefunctions,itmustdependmoredirectlyondifferentialmutation.GeneralTerms2.DElacksadequateselectivepressureinthedifferen-Performancetialmutationsteptomakeefficientprogressonnon-separablefunctions.K

8、eywordsOnfunctionswithsign