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ID:40351994
大小:964.22 KB
页数:9页
时间:2019-07-31
《Zhang_Sparse_Representation_Classification_2015_CVPR_paper》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、SparseRepresentationClassificationwithManifoldConstraintsTransferBaochangZhang;yAlessandroPerinaVittorioMurinoAlessioDelBueIstitutoItalianodiTecnologia(IIT)PatternAnalysisandComputerVision(PAVIS)ViaMorego30,16136Genova,ItalyySchoolofAutomationScienceandElectricalEnginee
2、ringBeihangUniversity,Beijing,ChinaAbstractThefactthatimagedatasampleslieonamanifoldhasbeensuccessfullyexploitedinmanylearningandinferenceproblems.Inthispaperweleveragethespecificstructureofdatainordertoimproverecognitionaccuraciesingen-eralrecognitiontasks.Inparticularwepro
3、poseanovelframeworkthatallowstoembedmanifoldpriorsintosparserepresentation-basedclassification(SRC)approaches.WealsoshowthatmanifoldconstraintscanbetransferredfromFigure1.AschemeoftheMCTapproach.thedatatotheoptimizedvariablesifthesearelinearlycor-related.Usingthisnewinsight,
4、wedefineanefficiental-ternatingdirectionmethodofmultipliers(ADMM)thatcaninstantiatesrecognitionasasparseoptimizationproblemconsistentlyintegratethemanifoldconstraintsduringthewheretheaimistoestimateanassignmentmatrixZthatas-optimizationprocess.Thisisbasedonthepropertythatsoci
5、ateseachtestingsampleHrtothecorrespondingtrain-wecanrecasttheproblemastheprojectionoverthemani-ingdataHdsuchthat:foldviaalinearembeddingmethodbasedontheGeodesicdistance.TheproposedapproachissuccessfullyappliedonHr=HdZ:face,digit,actionandobjectsrecognitionshowingaconsis-Thi
6、sinferenceisingeneraldonethroughtheuseofadictio-tentlyincreaseonperformancewhencomparedtothestatenarycomputeddirectlyfromthetrainingdata.Ifsuchdic-oftheart.tionaryhascertainproperties,namelybeinguncorrelated,thetheoryofSRChasinterestinglinkstothecompres-1.Introductionsivese
7、nsingframework.Thismakestheproblemsolvablethroughal1relaxationthatcanbedealtwithefficientopti-Aconstrainedlearningmodelallowsonetoincorporatemizationtechniques.domain-specificknowledgeasconstraintstobalancetheThispaperprovidesnewinsightstotheproblem,inpar-learnedmodelgiventhe
8、implicitstructureofthedata[7].ticulararelevantintuitionthatwasneglectedinpreviousF
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