Three Lemmas on Dynamic Cavity Method

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摘要 WestudythedynamiccavitymethodfordilutekineticIsingmodelswithsynchronousupdaterules.FortheparallelupdaterulewefindforfullyasymmetricmodelsthatthedynamiccavityequationsreducetoaMarkoviandynamicsofthe(time-dependent)marginalprobabilities.Fortherandomsequentialupdaterule,alsoaninstantiationofasynchronousupdaterule,wefindontheotherhandthatthedynamiccavityequationsdonotreducetoaMarkoviandynamics,unlessanadditionalassumptionoftimefactorizationisintroduced.ForsymmetricmodelsweshowthatafixedpointofordinaryBeliefpropagationisalsoafixedpointofthedynamiccavityequationsinthetimefactorizedapproximation.Forclarity,theconclusionsofthepaperareformulatedasthreelemmas.
机构地区 不详
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)
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