Title	Discrete optimal transport: Limits and limitations
Creator	Gladbach, Peter
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-22T10:51
Description	Using the finite volume method, one can define a discrete Kantorovich distance with a Riemannian structure based on a Euclidean mesh. We show that in most cases, the limit distance as mesh size tends to zero, in the sense of Gamma- or Gromov-Hausdorff-convergence, is strictly less than the standard Kantorovich distance. This is due to an oscillation effect reminiscent of homogenization. We introduce a geometric condition on the mesh that prevents oscillations and are able to show Gromov-Hausdorff convergence under this condition.
Extent	31.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Carnegie Mellon University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377248
URI	http://hdl.handle.net/2429/69008
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos