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math.PR2023★ 5 cited
Central Limit Theorems for Smooth Optimal Transport Maps
Tudor Manole, Sivaraman Balakrishnan, Jonathan Niles-Weed +1
One of the central objects in the theory of optimal transport is the Brenier map: the unique monotone transformation which pushes forward an absolutely continuous probability law o…
math.PR2021★ 25 cited
Sharp Convergence Rates for Empirical Optimal Transport with Smooth Costs
Tudor Manole, Jonathan Niles-Weed
We revisit the question of characterizing the convergence rate of plug-in estimators of optimal transport costs. It is well known that an empirical measure comprising independent s…