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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, and in , 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 given independent samples from a distribution and from the pushforward distribution . This setting is motivated by…