20 citations · 47 across the 5 of their papers we have counts for
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math.NA2021
Sampling Methods for Bayesian Inference Involving Convergent Noisy Approximations of Forward Maps
Giacomo Garegnani
We present Bayesian techniques for solving inverse problems which involve mean-square convergent random approximations of the forward map. Noisy approximations of the forward map a…
math.NA2021
Robust Estimation of Effective Diffusions from Multiscale Data
Giacomo Garegnani, Andrea Zanoni
We present a novel methodology based on filtered data and moving averages for estimating effective dynamics from observations of multiscale systems. We show in a semi-parametric fr…
math.NA2021★ 18 cited
A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems
Assyr Abdulle, Giacomo Garegnani
We present a novel probabilistic finite element method (FEM) for the solution and uncertainty quantification of elliptic partial differential equations based on random meshes, whic…