Alberto González-Sanz, Michel Groppe, Axel Munk. Identifiability and Exact Reconstruction of the Optimal Transport Cost on Finite Spaces. (2026). Discrete Applied Mathematics, to appear. (2026). Arxiv
Alberto González-Sanz and Shayan Hundrieser. Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs. Annals of Applied Probability, to appear. (2026). Arxiv
Alberto González-Sanz, Marcel Nutz, Andrés Riveros Valdevenito. Polyak–Lojasiewicz Inequality for Quadratically Regularized Optimal Transport. SIAM Journal on Optimization, to appear. (2026). Arxiv
Alberto González-Sanz and Marcel Nutz. Sparsity of Quadratically Regularized Optimal Transport: Scalar Case. SIAM Journal of Mathematical Analysis, to appear. (2026). Arxiv
Marco Avella Medina and Alberto González-Sanz. On the breakdown point of transport-based quantiles. Bernoulli, 32(3): 2501-2523. (2026) DOI
Alberto González-Sanz, Marc Hallin, and Bodhisattva Sen. Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability. Bernoulli, 32(2): 1213-1242 (2026). DOI
François Bachoc, Louis Béthune, Alberto González-Sanz, and Jean-Michel Loubes. Improved learning theory for kernel distribution regression with two-stage sampling. The Annals of Statistics, 53(4):1753–1782 (2025). DOI
Alberto González-Sanz, Marcel Nutz, and Andrés Riveros Valdevenito. Monotonicity in Quadratically Regularized Linear Programs. SIAM Journal on Optimization, 35(2):1419–1437 (2025). DOI
Alberto González-Sanz and Marcel Nutz. Quantitative convergence of quadratically regularized linear programs. Applied Mathematics and Optimization, 91(3):1–18 (2024). DOI
Lucas De Lara, Mathis Deronzier, Alberto González-Sanz, and Virgile Foy. On the nonconvexity of some push-forward constraints and its consequences in machine learning. SIAM Journal on Mathematics of Data Science, 7(2):385–620 (2025). DOI
Alberto González-Sanz, Michel Groppe, and Axel Munk. Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from its Marginals and Optimal Values. SIAM Journal of Mathematical Analysis, 3(6):6963–8148 (2024). DOI
Eustasio del Barrio, Alberto Gonzalez-Sanz, and Marc Hallin. Nonparametric Multiple-Output Center-Outward Quantile Regression. Journal of the American Statistical Association, 1–15 (2024). DOI
Lucas de Lara, Alberto González-Sanz, Nicholas Asher, Laurent Risser, and Jean-Michel Loubes. Transport-based Counterfactual Models. Journal of Machine Learning Research, 25(136):1–59 (2024). DOI
Eustasio del Barrio and Alberto González-Sanz. Regularity of center-outward distribution functions in non-convex domains. Advanced Nonlinear Studies, 24(4):880–894 (2024). DOI
Eustasio del Barrio, Alberto González-Sanz, and Jean-Michel Loubes. Central Limit Theorems for Semidiscrete Wasserstein Distances. Bernoulli, 30(1):554–580 (2024). DOI
Eustasio del Barrio, Alberto González-Sanz, and Jean-Michel Loubes. Central Limit Theorems for General Transportation Costs. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 60(2):847–873 (2024). DOI
Javier González-Delgado, Alberto González-Sanz, Juan R. Cortés, and Pierre Neuvial. Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology. Electronic Journal of Statistics, 17(1):1547–1586 (2023). DOI
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes, and Jonathan Niles-Weed. An improved central limit theorem and fast convergence rates for entropic transportation costs. SIAM Journal on Mathematics of Data Science, 5(3):639–669 (2023). DOI
Lucas De Lara, Alberto González-Sanz, and Jean-Michel Loubes. Diffeomorphic Registration using Sinkhorn Divergences. SIAM Journal on Imaging Sciences, 16(1):250–279 (2023). DOI
Laurent Risser, Alberto González-Sanz, Quentin Vincenot, and Jean-Michel Loubes. Tackling Algorithmic Bias in Neural-Network Classifiers using Wasserstein-2 Regularization. Journal of Mathematical Imaging and Vision, 64(6):672–689 (2022). DOI
Eustasio del Barrio, Alberto González-Sanz, and Marc Hallin. A note on the regularity of optimal-transport-based center-outward distribution and quantile functions. Journal of Multivariate Analysis, 180:104678 (2020). DOI
François Bachoc, Louis Béthune, Alberto González-Sanz, and Jean-Michel Loubes. Gaussian Processes on Distributions based on Regularized Optimal Transport. Proceedings of the 26th International Conference on Artificial Intelligence and Statistics. 4986–5010 (2023). Link
Louis Béthune, Thibaut Boissin, Mathieu Serrurier, Franck Mamalet, Corentin Friedrich, and Alberto González-Sanz. Pay attention to your loss: understanding misconceptions about 1-Lipschitz neural networks. Advances in Neural Information Processing Systems. (2022). Link
Mathieu Serrurier, Franck Mamalet, Alberto González-Sanz, Thibaut Boissin, Jean-Michel Loubes, and Eustasio del Barrio. Achieving robustness in classification using optimal transport with hinge regularization. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition. 505–514. (2021). Link
Carlos Cardoso-Perelló and Alberto González-Sanz. Huber–Wasserstein barycenters for robust distribution-valued data. (2026). Arxiv
Alberto González-Sanz, Gilles Mordant, and Shunan Sheng. Empirical optimal transport potentials: fast rates and a functional central limit theorem. (2026). Arxiv
Carlos Cardoso-Perelló, Alberto González-Sanz, and Marcel Nutz. Sharp Asymptotics for Regularized Optimal Transport. (2026). Arxiv
Alberto González-Sanz, and Dimitri Konen. Spatial depth characterizes probability measures. (2026). Arxiv
Alberto González-Sanz and Marcel Nutz. Stability of Quadratically Regularized Optimal Transport. (2026). Arxiv
Alberto González-Sanz, Shunan Sheng, Bohan Wu and Marco Avella Medina. The Influence Function of Transport-based Quantiles. (2026). Arxiv
Alberto González-Sanz, Rishabh S. Gvalani and Lukas Koch. Sharp local sparsity of regularized optimal transport. (2026). Arxiv
Alberto González-Sanz and Marco Avella Medina. Breakdown properties of optimal transport maps: general transportation costs. (2026). Arxiv
Shunan Sheng, Bohan Wu, Alberto González-Sanz. Mode Collapse of Mean-Field Variational Inference. (2025). Arxiv
Alberto González-Sanz, Marc Hallin, and Yisha Yao. Nonparametric Vector Quantile Autoregression. (2025). Arxiv
Alberto González-Sanz, Eustasio del Barrio and Marcel Nutz. Sample Complexity of Quadratically Regularized Optimal Transport. (2025). Arxiv
Alberto González-Sanz, Marcel Nutz, and Andrés Riveros Valdevenito. Linear Convergence of Gradient Descent for Quadratically Regularized Optimal Transport. (2025). Arxiv
Alberto González-Sanz, Gilles Mordant, Álvaro Samperio, and Bodhisattva Sen. Estimation of Algebraic Sets: Extending PCA Beyond Linearity. (2025). Arxiv
Shunan Sheng, Bohan Wu, Alberto González-Sanz, and Marcel Nutz. Stability of Mean-Field Variational Inference. (2025). Arxiv
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes, and David Rodríguez-Vítores. Distributional Limit Theory for Optimal Transport. (2025). Arxiv
Alberto González-Sanz, Stephan Eckstein, and Marcel Nutz. Sparse Regularized Optimal Transport withoutCurse of Dimensionality. (2025). Arxiv
François Bachoc, Alberto González-Sanz, Jean-Michel Loubes, and Yisha Yao. Wasserstein Spatial Depth. (2024). Arxiv
Alberto González-Sanz and Shunan Sheng. Linearization of Monge-Ampère equations and data science applications. (2024). Arxiv
Alejandro Garriz-Molina, Alberto González-Sanz, and Gilles Mordant. Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation. (2025). Arxiv
Alberto González-Sanz, Jean-Michel Loubes, and Jonathan Niles-Weed. Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences. (2022). Arxiv
Alberto González-Sanz, Lucas De Lara, Louis Béthune, and Jean-Michel Loubes. GAN Estimation of Lipschitz Optimal Transport Maps. (2022). Arxiv