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06/20/2023
Learning Costs for Structured Monge Displacements
Optimal transport theory has provided machine learning with several tool...
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04/28/2023
Multisample Flow Matching: Straightening Flows with Minibatch Couplings
Simulation-free methods for training continuous-time generative models c...
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02/23/2023
An Explicit Expansion of the Kullback-Leibler Divergence along its Fisher-Rao Gradient Flow
Let V_* : ℝ^d →ℝ be some (possibly non-convex) potential function, and c...
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01/26/2023
Minimax estimation of discontinuous optimal transport maps: The semi-discrete case
We consider the problem of estimating the optimal transport map between ...
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12/07/2022
Optimal transport map estimation in general function spaces
We consider the problem of estimating the optimal transport map between ...
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03/09/2022
An entropic generalization of Caffarelli's contraction theorem via covariance inequalities
The optimal transport map between the standard Gaussian measure and an α...
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02/17/2022
Debiaser Beware: Pitfalls of Centering Regularized Transport Maps
Estimating optimal transport (OT) maps (a.k.a. Monge maps) between two m...
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09/24/2021
Entropic estimation of optimal transport maps
We develop a computationally tractable method for estimating the optimal...
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06/10/2020
Learning normalizing flows from Entropy-Kantorovich potentials
We approach the problem of learning continuous normalizing flows from a ...
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10/04/2019
Farkas layers: don't shift the data, fix the geometry
Successfully training deep neural networks often requires either batch n...
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08/05/2019
A principled approach for generating adversarial images under non-smooth dissimilarity metrics
Deep neural networks are vulnerable to adversarial perturbations: small ...
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03/25/2019