摘要
WestudythedynamiccavitymethodfordilutekineticIsingmodelswithsynchronousupdaterules.FortheparallelupdaterulewefindforfullyasymmetricmodelsthatthedynamiccavityequationsreducetoaMarkoviandynamicsofthe(time-dependent)marginalprobabilities.Fortherandomsequentialupdaterule,alsoaninstantiationofasynchronousupdaterule,wefindontheotherhandthatthedynamiccavityequationsdonotreducetoaMarkoviandynamics,unlessanadditionalassumptionoftimefactorizationisintroduced.ForsymmetricmodelsweshowthatafixedpointofordinaryBeliefpropagationisalsoafixedpointofthedynamiccavityequationsinthetimefactorizedapproximation.Forclarity,theconclusionsofthepaperareformulatedasthreelemmas.
出版日期
2011年07月17日(中国期刊网平台首次上网日期,不代表论文的发表时间)