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stat.ME2021
A Variational Inference Approach to Inverse Problems with Gamma Hyperpriors
Shiv Agrawal, Hwanwoo Kim, Daniel Sanz-Alonso +1
Hierarchical models with gamma hyperpriors provide a flexible, sparse-promoting framework to bridge and regularizations in Bayesian formulations to inverse problems. De…
math.NA2021★ 10 cited
Graph-based Prior and Forward Models for Inverse Problems on Manifolds with Boundaries
John Harlim, Shixiao Jiang, Hwanwoo Kim +1
This paper develops manifold learning techniques for the numerical solution of PDE-constrained Bayesian inverse problems on manifolds with boundaries. We introduce graphical Matérn…