59 citations · 190 across the 27 of their papers we have counts for
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stat.CO2023★ 5 cited
Variance-based sensitivity of Bayesian inverse problems to the prior distribution
John E. Darges, Alen Alexanderian, Pierre A. Gremaud
The formulation of Bayesian inverse problems involves choosing prior distributions; choices that seem equally reasonable may lead to significantly different conclusions. We develop…
math.NA2023★ 4 cited
Sensitivity Analysis of the Information Gain in Infinite-Dimensional Bayesian Linear Inverse Problems
Abhijit Chowdhary, Shanyin Tong, Georg Stadler +1
We study the sensitivity of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs) with respect to modeling uncertainties. In parti…
math.ST2023★ 1 cited
On Bayes risk of the posterior mean in linear inverse problems
Alen Alexanderian
We consider the concept of Bayes risk in the context of finite-dimensional ill-posed linear inverse problem with Gaussian prior and noise models. In this note, we rederive the foll…