26 citations · 80 across the 15 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
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.ST2023★ 2 cited
Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities
Aaditya Ramdas, Tudor Manole
We present simple randomized and exchangeable improvements of Markov's inequality, as well as Chebyshev's inequality and Chernoff bounds. Our variants are never worse and typically…