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arXiv · 1910.07555

Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations

J. A. Carrillo·U. Vaes
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Abstract

We study the convergence to equilibrium of the mean field PDE associated with the derivative-free methodologies for solving inverse problems. We show stability estimates in the euclidean Wasserstein distance for the mean field PDE by using optimal transport arguments. As a consequence, this recovers the known convergence towards equilibrium estimates in the case of a linear forward model.

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J. A. Carrillo, U. Vaes. 2019-10-16. Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations. https://arxiv.org/abs/1910.07555

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