Learning functional priors and posteriors from data and physics
Xuhui Meng, Liu Yang, Zhiping Mao, José del Águila Ferrandis, George Em Karniadakis
Topics & Concepts
Prior probabilityUncertainty quantificationPartial differential equationInverse problemComputer scienceArtificial intelligenceInferenceOperator (biology)Posterior probabilityFunctional data analysisBayesian probabilityApplied mathematicsMachine learningMathematicsBiochemistryMathematical analysisChemistryGeneRepressorTranscription factorModel Reduction and Neural NetworksGaussian Processes and Bayesian InferenceProbabilistic and Robust Engineering Design