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,onRecentresultsshowthattheDi?erentialEvolutionalgo-whichthenewindividualwilllie.Ofcourse,thesidesofrithmhassigni?cantdi?cultyonfunctionsthatarenotlin-thishyper-rectangleareorientedwiththecoordinateaxes,earlyseparable.Onsuchfunctions

3、,thealgorithmmustrelymakingsearchstepsgeneratedbycrossoverorthogonaltoprimarilyonitsdi?erentialmutationprocedurewhich,un-thefunction’scoordinatedirections.Thisoperationiscon-likeitsrecombinationstrategy,isrotationallyinvariant.WetrolledbythecrossoverratevalueCRwhichspeci?estheconje

4、cturethatthismutationstrategylackssu?cientselec-expectednumberofparametersinheritedfromthemutanttivepressurewhenappointingparentanddonorvectorstovector.Essentially,CRdeterminestheexpecteddimensionhavesatisfactoryexploitativepoweronnon-separablefunc-ofthesubspaceinwhichtheo?springwi

5、lllie.tions.We?ndthatimposingpressureintheformofrank-Recentresults[10,3]suggestthatDEstruggleswithfunc-baseddi?erentialmutationresultsinasigni?cantimprove-tionsthatarenotlinearlyseparable.Weconjecturethatmentofexploitationonrotatedbenchmarks.DE’sbiastowardseparabilityarisesfromine?

6、cientexploita-tionduringthedi?erentialmutationstep.InthispaperweCategoriesandSubjectDescriptorswillexplorethefollowingtwohypotheses.I.2.8[Arti?cialIntelligence]:ProblemSolving,Control1.WhenCRislow,DEcanexploittheseparabilityofMethods,andSearch;G.1.6[NumericalAnalysis]:Opti-afunctio

7、nbyrelyingoncrossovertoproduceaxis-mization—GlobalOptimizationorthogonalsteps.Onnon-separablefunctions,itmustdependmoredirectlyondi?erentialmutation.GeneralTerms2.DElacksadequateselectivepressureinthedi?eren-Performancetialmutationsteptomakee?cientprogressonnon-separablefunctions.K

8、eywordsOnfunctionswithsign