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math.ST2024
A Bayesian approach with Gaussian priors to the inverse problem of source identification in elliptic PDEs
Matteo Giordano
We consider the statistical linear inverse problem of making inference on an unknown source function in an elliptic partial differential equation from noisy observations of its sol…
math.ST2023
Bayesian Nonparametric Inference in Elliptic PDEs: Convergence Rates and Implementation
Matteo Giordano
Parameter identification problems in partial differential equations (PDEs) consist in determining one or more functional coefficient in a PDE. In this article, the Bayesian nonpara…