113 citations · 638 across the 37 of their papers we have counts for
4 papers · 1 filter
Parameter tuning and model selection in optimal transport with semi-dual Brenier formulation
Adrien Vacher, François-Xavier Vialard
Over the past few years, numerous computational models have been developed to solve Optimal Transport (OT) in a stochastic setting, where distributions are represented by samples a…
Global convergence of ResNets: From finite to infinite width using linear parameterization
Raphaël Barboni, Gabriel Peyré, François-Xavier Vialard
Overparametrization is a key factor in the absence of convexity to explain global convergence of gradient descent (GD) for neural networks. Beside the well studied lazy regime, inf…
ICON: Learning Regular Maps Through Inverse Consistency
Hastings Greer, Roland Kwitt, Francois-Xavier Vialard +1
Learning maps between data samples is fundamental. Applications range from representation learning, image translation and generative modeling, to the estimation of spatial deformat…
A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation
Adrien Vacher, Boris Muzellec, Alessandro Rudi +2
It is well-known that plug-in statistical estimation of optimal transport suffers from the curse of dimensionality. Despite recent efforts to improve the rate of estimation with th…