adaptivealgebraalgorithmsanalysisapplicationapplicationsapproachapproximationbasedbayesianbiologicalboundarycalibrationcarlochallengesclimatecoefficientscollocationcomputationcomputercovariancedatadeepdependentdesigndeterministicdifferentialdiffusiondimensiondimensionaldiscrepancydrivenefficientellipticemulationemulatorsequationserrorestimationexperimentalexperimentsfunctionsgalerkingaussianhazardhighindexinferenceinputsinverselargelearninglevellinearlognormallowmetamodelsmethodsmodelmodellingmodelsmontemsgmultimultilevelnonstationarynumericaloptimaloptimizationorderoutputparameterparametricpartialpdesperspectivesphysicalpolynomialpriorsproblemsprocessprocessesquantifyingrandomrankrecoveryreducedreductionrisksamplingscalescientificselectionseminarsequentialseriessimulationsimulatorssparsespatialstatisticalstochasticstrategiessubspacesurrogatetensoruqusing