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20172026
most citedSharp Convergence Rates for Empirical Optimal Transport with Smooth Costs

25 citations · 53 across the 10 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.ST2021★ 9 cited

Plugin Estimation of Smooth Optimal Transport Maps

Tudor Manole, Sivaraman Balakrishnan, Jonathan Niles-Weed +1

We analyze a number of natural estimators for the optimal transport map between two distributions and show that they are minimax optimal. We adopt the plugin approach: our estimato…

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…