2 papers
math.OC2025
Monge-Kantorovich interpolation with constraints and application to a parking problem
Giuseppe Buttazzo, Guillaume Carlier, Katharina Eichinger
We consider optimal transport problems where the cost for transporting a given probability measure to another one consists of two parts: the first one measures the tr…
math.AP2025
Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT
Guillaume Carlier, Katharina Eichinger, Alexey Kroshnin
In this paper, we investigate properties of entropy-penalized Wasserstein barycenters introduced by Bigot, Cazelles and Papadakis (2019) as a regularization of Wasserstein barycent…