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math.NA2024
Posterior sampling with Adaptive Gaussian Processes in Bayesian parameter identification
Paolo Villani, Daniel Andrés-Arcones, Jörg F. Unger +1
Posterior sampling by Monte Carlo methods provides a more comprehensive solution approach to inverse problems than computing point estimates such as the maximum posterior using opt…
math.NA2024★ 1 cited
Adaptive Gaussian Process Regression for Bayesian inverse problems
Paolo Villani, Jörg Unger, Martin Weiser
We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward mode…