3 papers
math.OC2022
-Regularization of the Beckmann Problem
Dirk Lorenz, Hinrich Mahler, Christian Meyer
We investigate the problem of optimal transport in the so-called Beckmann form, i.e. given two Radon measures on a compact set, we seek an optimal flow field which is a vector valu…
math.OC2019
Orlicz-space regularization for optimal transport and algorithms for quadratic regularization
Dirk A. Lorenz, Hinrich Mahler
We investigate the continuous optimal transport problem in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal transport plan whic…
math.OC2019
Entropic regularization of continuous optimal transport problems
Christian Clason, Dirk A. Lorenz, Hinrich Mahler +1
We analyze continuous optimal transport problems in the so-called Kantorovich form, where we seek a transport plan between two marginals that are probability measures on compact su…