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基于CPN的联邦概念模型形式化建模与验证(英文) Introduction Theincreasingadoptionoffederatedmachinelearninghasledtoademandformoreefficientandeffectivemechanismsformodelingsuchsystems.OnesuchmethodisusingColoredPetriNets(CPNs)toconstructformalmodelsoffederatedconcepts.CPNsprovideaformalandvisualwaytodescribeconcurrentanddistributedsystems,whichisparticularlyusefulinthecontextoffederatedmachinelearningwheremultiplemodelsarebeingtrainedondifferentdatasources.ThegoalofthispaperistodiscusstheuseofCPNsinformalizingandverifyingfederatedconcepts. Background Federatedmachinelearninginvolvesthecollaborativetrainingofmachinelearningmodelsondifferentdatasources,whichmaybedistributedacrossdifferentorganizations.Themainchallengeinfederatedlearningistomaintainprivacyandsecuritywhilestillallowingthemodelstolearnfromthedifferentdatasources.Oneapproachtoaddressingthischallengeisthroughtheuseoffederatedlearningframeworkswhichenablesecureandefficientcommunicationandcoordinationbetweenthemodels. CPNsareamathematicalmodelingtechniquethatcanbeusedtodescribeconcurrentanddistributedsystems.Theyconsistofasetofplaces,transitions,andarcs.Placesrepresentthestateofthesystem,whiletransitionsspecifyhowthesystemtransitionsfromonestatetothenext.Arcsconnecttheplacesandtransitionsanddefinetheflowoftokensbetweenthem. CPNscanbeusedtomodelcomplexsystemssuchasfederatedmachinelearning.TheformalandvisualrepresentationofCPNsallowsforaclearandconciserepresentationofthesystemunderanalysis. Methodology ThefirststepinbuildingaCPNmodelforfederatedmachinelearningistoidentifythekeycomponentsofthesystem.Thecomponentscouldincludethelocalmodels,thefederatedlearningframework,thecommunicationchannelsbetweenthemodels,andthedatasources.Oncethecomponentshavebeenidentified,theycanbemappedontotheplacesandtransitionsoftheCPNmodel. Thenextstepistodefinetheinitialstateofthemodel,whichincludestheinitialvaluesoftheplaces.Inthecaseoffederatedmachinelearning,theinitialstatecouldbetheinitialvaluesofthemodelparameters,theinitialdatadistribution,andtheinit

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