English

Filtering methods for coupled inverse problems

Numerical Analysis 2022-03-21 v1 Numerical Analysis

Abstract

We are interested in ensemble methods to solve multi-objective optimization problems. An ensemble Kalman method is proposed to solve a formulation of the nonlinear problem using a weighted function approach. An analysis of the mean field limit of the ensemble method yields an explicit update formula for the weights. Numerical examples show the improved performance of the proposed method.

Keywords

Cite

@article{arxiv.2203.09841,
  title  = {Filtering methods for coupled inverse problems},
  author = {Michael Herty and Elisa Iacomini},
  journal= {arXiv preprint arXiv:2203.09841},
  year   = {2022}
}