447 citations · 806 across the 17 of their papers we have counts for
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math.ST2015
Filter Based Methods For Statistical Linear Inverse Problems
Marco A. Iglesias, Kui Lin, Shuai Lu +1
Ill-posed inverse problems are ubiquitous in applications. Under- standing of algorithms for their solution has been greatly enhanced by a deep understanding of the linear inverse…
math.OC2015★ 110 cited
A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
Marco A. Iglesias
We introduce a derivative-free computational framework for approximating solutions to nonlinear PDE-constrained inverse problems. The aim is to merge ideas from iterative regulariz…
stat.ME2015
A Bayesian Level Set Method for Geometric Inverse Problems
Marco A. Iglesias, Yulong Lu, Andrew M. Stuart
We introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the…