Hugo Malamut

works on

cat(kappa) spaces 1 convex order 1 martingale transport 1 metric geometry 1 optimal transport 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.FA2026

A Brenier-Strassen Theorem on CAT(kappa) Spaces

Nathael Gozlan, Hugo Malamut, Shin-Ichi Ohta

The paper generalizes the Brenier‑Strassen theorem to spaces with curvature bounded above, proving existence and uniqueness of a Wasserstein‑2 projection onto measures dominated in…

math.OC2026

Weak optimal transport with moment constraints: constraint qualification, dual attainment and entropic regularization

Guillaume Carlier, Hugo Malamut, Maxime Sylvestre

We consider weak optimal problems (possibly entropically penalized) incorporating both soft and hard (including the case of the martingale condition) moment constraints. Even in th…

math.OC2025

Convergence Rates of the Regularized Optimal Transport : Disentangling Suboptimality and Entropy

Hugo Malamut, Maxime Sylvestre

We study the convergence of the transport plans $I^_{I^}^{3} µ$ towards $I^_{0}^{3}$ as well as the cost of the entropy-regularized optimal transport $(c, I^_{I^}^{3} µ)$ towards $(c, I^_{0}^{3})$ as the regula…