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20122026
most citedThe Ensemble Kalman Filter for Inverse Problems

447 citations · 806 across the 17 of their papers we have counts for

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5 papers · 1 filter

math.NA2026

A variational framework for Bayesian inversion in moving boundary Darcy flow

Michael E. Causon, Marco A. Iglesias, Michael V. Tretyakov

We develop an infinite-dimensional Bayesian framework for recovering spatially varying log-permeability from pressure observations in single-phase Darcy flow with a moving boundary…

math.NA2022

On a Dynamic Variant of the Iteratively Regularized Gauss-Newton Method with Sequential Data

Neil K. Chada, Marco A. Iglesias, Shuai Lu +1

For numerous parameter and state estimation problems, assimilating new data as they become available can help produce accurate and fast inference of unknown quantities. While most…

math.NA2020★ 1 cited

Adaptive regularisation for ensemble Kalman inversion

Marco Iglesias, Yuchen Yang

We propose a new regularisation strategy for the classical ensemble Kalman inversion (EKI) framework. The strategy consists of: (i) an adaptive choice for the regularisation parame…

math.NA2017★ 83 cited

Parameterizations for Ensemble Kalman Inversion

Neil K. Chada, Marco A. Iglesias, Lassi Roininen +1

The use of ensemble methods to solve inverse problems is attractive because it is a derivative-free methodology which is also well-adapted to parallelization. In its basic iterativ…

math.NA2014★ 1 cited

Iterative regularization for ensemble data assimilation in reservoir models

Marco A. Iglesias

We propose the application of iterative regularization for the development of ensemble methods for solving Bayesian inverse problems. In concrete, we construct (i) a variational it…