BayesianQuadratureonRiemannianDataManifoldsChristianFro¨hlich1AlexandraGessner12PhilippHennig12BernhardScho¨lkopf2GeorgiosArvanitidis2AbstractFigure1.ALANDonaproteintrajectorymanifoldoftheenzymea...
AnalysisofstochasticLanczosQuadratureforspectrumapproximationTylerChen1ThomasTrogdon1ShashankaUbaru2Abstractdependingonjustthespectrum.Conversely,computingtheCESMrequiresexactknowledgeofalltheeigen...
AutomatedModelSelectionwithBayesianQuadratureHenryChai1Jean-Franc¸oisTon2MichaelA.Osborne34RomanGarnett1AbstractformZ=f(Dθ)π(θ)dθ,whereθisavectorofmodelparameters,f(Dθ)isalikelihood,andπ(θ...
BayesianQuadratureforMultipleRelatedIntegralsXiaoyueXi1Franc¸ois-XavierBriol123MarkGirolami123Abstractfunctionevaluationsandthereforeareuncertaintaboutthevalueoftheintegral.ThenotionofBayesianprob...
OntheSamplingProblemforKernelQuadratureFranc¸ois-XavierBriol12ChrisJ.Oates34JonCockayne1WilsonYeChen5MarkGirolami24AbstractCarlo(MC)methodscanbeusedtoestimatethenumericalvalueofEqn.1.Aclassicalres...