3 papers
math.OC2026
Toland duality and particle approximations for signed Wasserstein barycenters
Thomas Gallouët, Andrea Natale, Gabriele Todeschi
We study the problem of minimizing a weighted sum of squared Wasserstein distances with signed coefficients. In the case of a single positive coefficient, we derive two convex dual…
math.OC2026
Semi-discrete convex order and Laguerre tessellation fitting
David P. Bourne, Thomas Gallouët, Quentin Mérigot +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.OC2024
Metric extrapolation in the Wasserstein space
Thomas O. Gallouët, Andrea Natale, Gabriele Todeschi
In this article we study a variational problem providing a way to extend for all times minimizing geodesics connecting two given probability measures, in the Wasserstein space. Thi…