Laboratoire de Mathématiques d'Orsay

works on

brenier potentials 1 john domains 1 log-concave densities 1 optimal transport 1 stability analysis 1 Wasserstein distance 1

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math.OC2026

Semi-discrete convex order and Laguerre tessellation fitting

David P. Bourne, Thomas GallouÃ«t, Quentin MÃ©rigot +1

Laguerre tessellations offer an efficient way to parameterize a large class of convex partitions of Euclidean space using only a set of points and scalar weights. For this reason,…

math.OC2026

Bayesian Algorithm for Collaborative Optimization with Application to Aircraft Design

Mohamed Ali Belhafnaoui, Youssef Diouane

Collaborative Optimization (CO) is a multidisciplinary design optimization (MDO) framework that decomposes large-scale engineering problems into parallel, independently solvable su…

math.OC2025

Variational Analysis in the Wasserstein Hierarchy

Christophe Vauthier

Let $M$ be a complete connected Riemannian manifold. For $n \geq 0$ , we endow the Wasserstein space $P_{2}^{(n)} (M) = P_{2} (\dots P_{2} (M) \dots)$ , equipped with the Wasserstein distanc…