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math.PR2025
Asymptotics for Random Quadratic Transportation Costs
Martin Huesmann, Michael Goldman, Dario Trevisan
We establish the validity of asymptotic limits for the general transportation problem between random i.i.d. points and their common distribution, with respect to the squared Euclid…
math.PR2024
Subadditivity and optimal matching of unbounded samples
Emanuele Caglioti, Michael Goldman, Francesca Pieroni +1
We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we…