4 citations · 9 across the 30 of their papers we have counts for
12 papers · 1 filter
Central limit theorems and bootstrap for sparse regularized multimarginal optimal transport and barycenters
Pengtao Li, Alberto González-Sanz, Xiaohui Chen
Wasserstein barycenters are a fundamental tool for the analysis of distribution-valued data, but their computation and statistical analysis become challenging in high-dimensional a…
Empirical optimal transport potentials: fast rates and a functional central limit theorem
Alberto González-Sanz, Gilles Mordant, Shunan Sheng
Optimal transport potentials are fundamental objects in statistics, economics, and machine learning: their gradients generate optimal transport maps, while the potentials themselve…
The Influence Function of Transport-based Quantiles
Alberto González-Sanz, Shunan Sheng, Bohan Wu +1
Transport-based quantiles extend univariate quantiles to multivariate distributions via optimal transport. We study the influence function of the transport quantile map $\mathbf{Q}…
Finite-sample bounds for regularized optimal transport
Alberto González-Sanz, Marcel Nutz, Austin J. Stromme
We study the sample complexity of regularized optimal transport for general convex regularizations including the Kullback--Leibler divergence and penalties. Our main results…
Breakdown properties of optimal transport maps: general transportation costs
Alberto Gonzalez-Sanz, Marco Avella Medina
Two recent works, Avella-Medina and González-Sanz (2026) and Passeggeri and Paindaveine (2026), studied the robustness of the optimal transport map through its breakdown point, i.e…
Sample Complexity of Quadratically Regularized Optimal Transport
Alberto González-Sanz, Eustasio del Barrio, Marcel Nutz
It is well known that optimal transport suffers from the curse of dimensionality: when the prescribed marginals are approximated by i.i.d. samples, the convergence of the empirical…
Estimation of Algebraic Sets: Extending PCA Beyond Linearity
Alberto González-Sanz, Gilles Mordant, Álvaro Samperio +1
An algebraic set is defined as the zero locus of a system of real polynomial equations. In this paper we address the problem of recovering an unknown algebraic set fr…
Sparse Regularized Optimal Transport without Curse of Dimensionality
Alberto González-Sanz, Stephan Eckstein, Marcel Nutz
Entropic optimal transport -- the optimal transport problem regularized by KL diver\-gence -- is highly successful in statistical applications. Thanks to the smoothness of the entr…
Distributional Limit Theory for Optimal Transport
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes +1
Optimal Transport (OT) is a resource allocation problem with applications in biology, data science, economics and statistics, among others. In some of the applications, practitione…
On the breakdown point of transport-based quantiles
Marco Avella-Medina, Alberto González-Sanz
Recent work has used optimal transport ideas to generalize the notion of (center-outward) quantiles to dimension . We study the robustness properties of these transport-ba…
Diffeomorphic Registration using Sinkhorn Divergences
Lucas de Lara, Alberto González-Sanz, Jean-Michel Loubes
The diffeomorphic registration framework enables to define an optimal matching function between two probability measures with respect to a data-fidelity loss function. The non conv…
A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications
Lucas de Lara, Alberto González-Sanz, Jean-Michel Loubes
Optimal transport maps define a one-to-one correspondence between probability distributions, and as such have grown popular for machine learning applications. However, these maps a…