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math.ST2021
Parameter tuning and model selection in optimal transport with semi-dual Brenier formulation
Adrien Vacher, François-Xavier Vialard
Over the past few years, numerous computational models have been developed to solve Optimal Transport (OT) in a stochastic setting, where distributions are represented by samples a…
math.ST2021★ 13 cited
A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation
Adrien Vacher, Boris Muzellec, Alessandro Rudi +2
It is well-known that plug-in statistical estimation of optimal transport suffers from the curse of dimensionality. Despite recent efforts to improve the rate of estimation with th…