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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
Debiasing optimal transport: classical and entropic
Pierre-Cyril Aubin-Frankowski, Virginie Ehrlacher, Gabriele Todeschi
We study the notion of debiasability for cost functions arising in optimal transport. We call a symmetric cost function …