568 RWTH Publication No: 849256        2022       
TITLE Filtering methods for coupled inverse problems
AUTHORS Michael Herty, Elisa Iacomini
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
DOI 10.1137/22M1483839
PUBLICATION SIAM Journal on Applied Dynamical Systems, Vol. 22, Iss. 2 (2023)