Affine-Mapping based Variational Ensemble Kalman Filter

We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the prior ensemble to the posterior one, and the affine mapping is...

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Bibliographic Details
Published inarXiv.org
Main Authors Wen, Linjie, Li, Jinglai
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.09.2021
Subjects
Kalman filters
Mapping
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Summary:We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the prior ensemble to the posterior one, and the affine mapping is computed via a variational Bayesian formulation, i.e., by minimizing the Kullback-Leibler divergence between the transformed distribution through the affine mapping and the actual posterior. Some theoretical properties of resulting optimization problem are studied and a gradient descent scheme is proposed to solve the resulting optimization problem. With numerical examples we demonstrate that the method has competitive performance against existing methods.
ISSN:2331-8422