3 papers
math.OC2026
Ordinary differential equations for regularized variational problems involving semi-discrete optimal transport
Adrien Cances, Luca Nenna, Daniyar Omarov +1
We consider entropically regularized, semi-discrete versions of variational problems on the set of probability measures involving optimal transport as well as other terms. We prove…
math.PR2024
The Monge-Kantorovich problem on Wasserstein space
Pedram Emami, Brendan Pass
We consider the Monge-Kantorovich problem between two random measuress. More precisely, given probability measures on the…
math.OC2024
On the existence of Monge solutions to multi-marginal optimal transport with quadratic cost and uniform discrete marginals
Pedram Emami, Brendan Pass
A natural and important question in multi-marginal optimal transport is whether the \emph{Monge ansatz} is justified; does there exist a solution of Monge, or deterministic, form?…