- Analysis of the dynamical behavior of a feedback

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1、ARTICLEINPRESSNeurocomputing71(2008)486–494www.elsevier.com/locate/neucomAnalysisofthedynamicalbehaviorofafeedbackauto-associativememoryMahmoodAmiri,SohrabSaeb,MohammadJavadYazdanpanah,S.AliSeyyedsalehiFacultyofBiomedicalEngineering,AmirkabirUniversityofTechnology(TehranPolytechnic),424Ha

2、fezAve,Tehran15875-4413,IranAvailableonline9October2007AbstractThedynamicalbehaviorandthestabilitypropertiesoffixedpointsinafeedbackauto-associativememoryareinvestigated.Theproposedstructureencompassesamulti-layerperceptron(MLP)andafeedbackconnectionthatlinksinputandoutputlayersthroughdelay

3、elements.TheMLPisinitiallytrainedsothatitmapsthetrainingpatternsintothemselvesasanauto-associativememory.Thefeedbackconnectionisthenestablishedinordertomakethefeedbackauto-associativememory.Wederivesomeexplicitequationsbasedonthetheoryofdynamicalsystems,whichrelatethestabilitypropertiesoffi

4、xedpointstothenetworkparametervalues.Wethenperformsomecasestudiesforthepurposeofperformancecomparisonsbetweentheproposedmodelandaself-feedbackneuralnetwork(SFNN)asanassociativememory.Severalsimulationsareprovidedtoverifythatnotonlyourmodelneedsmuchfewerneuronstostorenumerousstablefixedpoint

5、s,butalsoitisabletolearnasymmetricarrangementoffixedpoints,whereastheSFNNmodelislimitedtoorthogonalarrangements.r2007ElsevierB.V.Allrightsreserved.Keywords:Feedbackauto-associativememory;Stabilityanalysis;Fixedpoints1.Introductionequilibriumpointofthenetwork.Furthermore,theequilibriacorresp

6、ondingtothememoryvectorshavetoUtilizedinawidespectrumofapplications,neuralbeasymptoticallystable,i.e.,theyshouldbeattractivenetworkshavebeenwidelystudiedinrecentyears[8,15,17].equilibriumpointsorattractors[3].IntheconventionalstructureofanartificialneuralAsNNsstoreasetofdesiredpatternsassta

7、blenetwork,aneuronreceivesitsinputeitherfromotherequilibriumpointssuchthatthestoredinformationcanneuronsorfromexternalinputs(inputvector).Aweightedberetrievedifsufficientdataisprovidedinaninputsumoftheseinputsconstitutestheargumentofafixedpattern.Inotherwords,As