An augmented Lagrangian approach to Wasserstein gradient flows and applications

Taking advantage of the Benamou-Brenier dynamic formulation of optimal transport, we propose a convex formulation for each step of the JKO scheme for Wasserstein gradient flows which can be attacked by an augmented Lagrangian method which we call the ALG2-JKO scheme. We test the algorithm in particu...

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Bibliographic Details
Main Authors: Benamou Jean-David, Carlier Guillaume, Laborde Maxime
Format: Article
Language:English
Published: EDP Sciences 2016-06-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201654001