3 papers
math.ST2026
Efficient Bayesian Inference in Strictly Semi-parametric Linear Inverse Problems
Adel Magra, Aad van der Vaart
We consider the efficient inference of finite dimensional parameters arising in the context of inverse problems. Our setup is the observation of a transformation of an unknown infi…
math.ST2026
Semi-parametric Bernstein-von Mises Theorem in a Parabolic PDE Problem
Adel Magra, Frank van der Meulen, Aad van der Vaart
We consider the heat equation with absorption in a bounded domain of , where both the scalar diffusivity and the absorption function are unknown. We investigate a Bay…
math.ST2025
Semi-parametric Bernstein-von Mises in Linear Inverse Problems
Adel Magra, Aad van der Vaart, Harry van Zanten
We consider a Bayesian approach for the recovery of scalar parameters arising in inverse problems. We consider a general signal-in white noise model where we have access to two ind…