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1、ClusteringComplexDatawithGroup-DependentFeatureSelectionYen-YuLin1,2,Tyng-LuhLiu1,andChiou-ShannFuh21InstituteofInformationScience,AcademiaSinica,Taipei,Taiwan2DepartmentofCSIE,NationalTaiwanUniversity,Taipei,Taiwan{yylin,liutyng}@iis.sinica.edu.tw,fuh@csi
2、e.ntu.edu.twAbstract.Wedescribeaclusteringapproachwiththeemphasisonde-tectingcoherentstructuresinacomplexdataset,andillustrateitseffec-tivenesswithcomputervisionapplications.Bycomplexdata,wemeanthattheattributevariationsamongthedataaretooextensivesuchthatcl
3、usteringbasedonasinglefeaturerepresentation/descriptorisinsuffi-cienttofaithfullydividethedataintomeaningfulgroups.Theproposedmethodthusassumesthedataarerepresentedwithvariousfeaturerep-resentations,andaimstouncovertheunderlyingclusterstructure.Tothatend,wea
4、ssociateeachclusterwithaboostingclassifierderivedfrommultiplekernellearning,andapplythecluster-specificclassifiertofeatureselectionacrossvariousdescriptorstobestseparatedataoftheclusterfromtherest.Specifically,weintegratethemultiple,correlativetrainingtasksoft
5、hecluster-specificclassifiersintotheclusteringprocedure,andcastthemasajointconstrainedoptimizationproblem.Throughtheop-timizationiterations,theclusterstructureisgraduallyrevealedbytheseclassifiers,whiletheirdiscriminantpowertocapturesimilardatawouldbeprogress
6、ivelyimprovedowingtobetterdatalabeling.1IntroductionClusteringisatechniquetopartitionthedataintogroupssothatsimilar(orcoherent)objectsandtheirpropertiescanbereadilyidentifiedandexploited.Whilesuchagoalisexplicitandclear,thenotionofsimilarityisoftennotwellde
7、fined,partlyduetothelackofauniversallyapplicablesimilaritymeasure.Asaresult,previousresearcheffortsondevelopingclusteringalgorithmsmostlyfocusondealingwithdifferentscenariosorspecificapplications.Inthefieldofvisionresearch,performingdataclusteringisessentialina
8、ddressingvarioustaskssuchasobjectcategorization[1,2]orimagesegmentation[3,4].Despitethegreatapplicability,afundamentaldifficultyhinderingtheadvanceofclusteringtechniquesisthattheintrinsicclusterstructureisnotev