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arXiv:1703.10457 [math.OC]AbstractReferencesReviewsResources

The entropic regularization of the Monge problem on the real line

Simone Di Marino, Jean Louet

Published 2017-03-30Version 1

We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, among those which are optimal for the non-penalized problem, the most "diffuse" one on the zones where it may have a density.

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