Work

The Entropic Regularization of the Monge Problem on the Real Line

Year: 2018

Type: article

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.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/17m1123523

Authors: Simone Di Marino, Jean Louet

Institutions: Scuola Normale Superiore, Centre de Recherche en Mathématiques de la Décision, MOKAPLAN: Avancées en calcul numérique des variations

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2604818582

FWCI: 0.695

Cites: 18

Cited by: 4

Related to: 10