Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

J. D. Benamou - G. Carlier - L. Nenna

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm

created by nenna on 23 Oct 2017
modified on 05 Mar 2018

[BibTeX]

Accepted Paper

Inserted: 23 oct 2017
Last Updated: 5 mar 2018

Journal: Numerische Mathematik
Year: 2018

Abstract:

Starting from Brenier’s relaxed formulation of the incompressible Euler equation in terms of geodesics in the group of measure-preserving diffeomorphisms, we propose a numerical method based on Sinkhorn’s algorithm for the entropic regularization of optimal transport. We also make a detailed comparison of this entropic regularization with the so-called Bredinger entropic interpolation problem (see 1). Numerical results in dimension one and two illustrate the feasibility of the method.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1