Recent Trends on Nonlinear Filtering for Inverse Problems
Numerical Analysis
2022-04-06 v1 Numerical Analysis
Abstract
Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the original method and discuss recent developments in particular in view of the limit for infinitely particles and extensions towards stability analysis and multi--objective optimization. We illustrate the performance of the method by using test inverse problems from the literature.
Keywords
Cite
@article{arxiv.2204.02253,
title = {Recent Trends on Nonlinear Filtering for Inverse Problems},
author = {Michael Herty and Elisa Iacomini and Giuseppe Visconti},
journal= {arXiv preprint arXiv:2204.02253},
year = {2022}
}