A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation

Autor:	Savaré, Giuseppe, Sodini, Giacomo Enrico
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control Mathematics - Functional Analysis Primary: 49Q22 28A33 Secondary: 49K27
Druh dokumentu:	Working Paper
Popis:	We present a general convex relaxation approach to study a wide class of Unbalanced Optimal Transport problems for finite non-negative measures with possibly different masses. These are obtained as the lower semicontinuous and convex envelope of a cost for non-negative Dirac masses. New general primal-dual formulations, optimality conditions, and metric-topological properties are carefully studied and discussed. Comment: 57 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00542 Zobrazit plný text záznamu View this record from Arxiv