Alberto González-Sanz and Marcel Nutz. Sparsity of Quadratically Regularized Optimal Transport: Scalar Case. SIAM Journal of Mathematical Analysis,,to appear (2026). arxiv.org/abs/2410.03353
Marco Avella Medina and Alberto González-Sanz. On the breakdown point of transport-based quantiles. Bernoulli, to appear (2026) https://arxiv.org/abs/2410.16554
Alberto González-Sanz, Marc Hallin, and Bodhisattva Sen. Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability. Bernoulli, to appear (2025). https://arxiv.org/abs/2305.11751
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). https://doi.org/10.1214/25-AOS2537
Alberto González-Sanz, Marcel Nutz, and Andrés Riveros Valdevenito. Monotonicity in Quadratically Regularized Linear Programs. SIAM Journal on Optimization, 35(2):1419–1437 (2025). https://doi.org/10.1137/24M1685171
Alberto González-Sanz and Marcel Nutz. Quantitative convergence of quadratically regularized linear programs. Applied Mathematics and Optimization, 91(3):1–18 (2024). https://doi.org/10.1007/s00245-025-10267-1
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). https://doi.org/10.1137/24M1645036
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). https://doi.org/10.1137/23M1624403
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). https://doi.org/10.1080/01621459.2024.2366029
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). https://jmlr.org/papers/v25/21-1440.html
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). https://doi.org/10.1515/ans-2023-0140
Eustasio del Barrio, Alberto González-Sanz, and Jean-Michel Loubes. Central Limit Theorems for Semidiscrete Wasserstein Distances. Bernoulli, 30(1):554–580 (2024). https://doi.org/10.3150/23-BEJ1608
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). https://doi.org/10.1214/22-AIHP1356
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). https://doi.org/10.1214/23-EJS2135
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). https://doi.org/10.1137/22M149260X
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). https://doi.org/10.1137/22M1493562
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). https://doi.org/10.1007/s10851-022-01090-2
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). https://doi.org/10.1016/j.jmva.2020.104671
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 (AISTATS), 4986–5010 (2023). proceedings.mlr.press/v206/bachoc23a.html
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 (NeurIPS) (2022). proceedings.neurips.cc/paper_files/paper/2022/hash/7eb3d8ae592966543170a65e6b698828-Abstract-Conference.html
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 (CVPR), 505–514 (2021). openaccess.thecvf.com/content/CVPR2021/papers/Serrurier_Achieving_Robustness_in_Classification_Using_Optimal_Transport_With_Hinge_Regularization_CVPR_2021_paper.pdf
Alberto González-Sanz, Rishabh S. Gvalani and Lukas Koch. Sharp local sparsity of regularized optimal transport. (2026). https://arxiv.org/pdf/2604.00843
Alberto González-Sanz and Marco Avella Medina. Breakdown properties of optimal transport maps: general transportation costs. (2026). https://arxiv.org/abs/2603.16005
Shunan Sheng, Bohan Wu, Alberto González-Sanz. Mode Collapse of Mean-Field Variational Inference. (2025). arxiv.org/abs/2510.17063
Alberto González-Sanz, Marc Hallin, and Yisha Yao. Nonparametric Vector Quantile Autoregression. (2025). arxiv.org/abs/2510.03166
Alberto González-Sanz, Eustasio del Barrio and Marcel Nutz. Sample Complexity of Quadratically Regularized Optimal Transport. (2025). arxiv.org/abs/2511.09807
Alberto González-Sanz, Marcel Nutz, and Andrés Riveros Valdevenito. Linear Convergence of Gradient Descent for Quadratically Regularized Optimal Transport. (2025). arxiv.org/abs/2509.08547
Alberto González-Sanz, Gilles Mordant, Álvaro Samperio, and Bodhisattva Sen. Estimation of Algebraic Sets: Extending PCA Beyond Linearity. (2025). arxiv.org/abs/2508.01976
Shunan Sheng, Bohan Wu, Alberto González-Sanz, and Marcel Nutz. Stability of Mean-Field Variational Inference. (2025). arxiv.org/abs/2506.07856
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes, and David Rodríguez-Vítores. Distributional Limit Theory for Optimal Transport. (2025). arxiv.org/abs/2505.19104
Alberto González-Sanz, Stephan Eckstein, and Marcel Nutz. Sparse Regularized Optimal Transport withoutCurse of Dimensionality. (2025). arxiv.org/abs/2505.04721
François Bachoc, Alberto González-Sanz, Jean-Michel Loubes, and Yisha Yao. Wasserstein Spatial Depth. (2024). arxiv.org/abs/2411.10646
Alberto González-Sanz and Shunan Sheng. Linearization of Monge-Ampère equations and data science applications. (2024). arxiv.org/abs/2408.06534
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.org/abs/2407.21528
Alberto González-Sanz and Shayan Hundrieser. Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs. (2023). arxiv.org/abs/2305.09745
Alberto González-Sanz, Jean-Michel Loubes, and Jonathan Niles-Weed. Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences. (2022). arxiv.org/abs/2207.07427
Alberto González-Sanz, Lucas De Lara, Louis Béthune, and Jean-Michel Loubes. GAN Estimation of Lipschitz Optimal Transport Maps. (2022). arxiv.org/abs/2202.07965