26 citations · 80 across the 15 of their papers we have counts for
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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…
math.ST2021★ 10 cited
Martingale Methods for Sequential Estimation of Convex Functionals and Divergences
Tudor Manole, Aaditya Ramdas
We present a unified technique for sequential estimation of convex divergences between distributions, including integral probability metrics like the kernel maximum mean discrepanc…