Title	Dynamic formulations of optimal transportation and variational relaxation of Euler equations.
Creator	Benamou, Jean-David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-13T10:51
Description	We will briefly recall the classical Optimal Transportation Framework and its Dynamic relaxations. We will show the link between these Dynamic formulation and the so-called MultiMarginal extension of Optimal Transportation. We will then describe the so-called Iterative Proportional Fitting Procedure (aka Sinkhorn method) which can be efficiently applied to the multi-marginal OT setting. Finally we will show how this can be used to compute generalized Euler geodesics due to Brenier. This problem can be considered as the oldest instance of Multi-Marginal Optimal Transportation problem. Joint work with Guillaume Carlier (Ceremade, Universite Paris Dauphine, France) and Luca Nenna (U. Paris Sud, France).
Extent	37.0 minutes
Subject	Mathematics; Calculus of variations and optimal control; optimization; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: INRIA
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-12-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395178
URI	http://hdl.handle.net/2429/76695
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Other
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Dynamic formulations of optimal transportation and variational relaxation of Euler equations. Benamou, Jean-David

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