4 papers
Geometry of Relaxed Fair Regression: A Unified Framework for Aware and Unaware Settings
M. Generali Lince, V. Divol, R. Flamary +2
Fairness-accuracy trade-offs are a central concern in the deployment of fairness-aware machine learning methods. When sensitive attributes are unavailable at inference time-the so…
Tight stability bounds for entropic Brenier maps
Vincent Divol, Jonathan Niles-Weed, Aram-Alexandre Pooladian
Entropic Brenier maps are regularized analogues of Brenier maps (optimal transport maps) which converge to Brenier maps as the regularization parameter shrinks. In this work, we pr…
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…
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…