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 nonpenalized problem, the most diffuse one on the zones where it may have a density.

The entropic regularization of the monge problem on the real line

Di Marino S.;
2018

Abstract

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 nonpenalized problem, the most diffuse one on the zones where it may have a density.
2018
Settore MAT/05 - Analisi Matematica
Entropic regularization; G-convergence; Monge problem; Monotone transport; Optimal transport; Schrodinger problem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/79425
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