Jonathan Niles-Weed

activity

20202024

most citedDebiaser Beware: Pitfalls of Centering Regularized Transport Maps

6 citations · 23 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.ST2023★ 5 cited

Minimax estimation of discontinuous optimal transport maps: The semi-discrete case

Aram-Alexandre Pooladian, Vincent Divol, Jonathan Niles-Weed

We consider the problem of estimating the optimal transport map between two probability distributions, $P$ and $Q$ in $R^{d}$ , on the basis of i.i.d. samples. All existing st…

math.ST2022★ 4 cited

Optimal transport map estimation in general function spaces

Vincent Divol, Jonathan Niles-Weed, Aram-Alexandre Pooladian

We study the problem of estimating a function $T$ given independent samples from a distribution $P$ and from the pushforward distribution $T_{♯} P$ . This setting is motivated by…

math.ST2021★ 6 cited

Entropic estimation of optimal transport maps

Aram-Alexandre Pooladian, Jonathan Niles-Weed

We develop a computationally tractable method for estimating the optimal map between two distributions over $R^{d}$ with rigorous finite-sample guarantees. Leveraging an ent…