González-Sanz, Alberto

1. Pay attention to your loss: understanding misconceptions about 1-Lipschitz neural networks
   2021/04/11 by Béthune, Louis, Boissin, Thibaut, Serrurier, Mathieu +3 · 3 citations
   #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
2. Transport-based Counterfactual Models
   2021/08/30 by de Lara, Lucas, González-Sanz, Alberto, Asher, Nicholas +2 · 2 citations
   #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences
3. GAN Estimation of Lipschitz Optimal Transport Maps
   2022/02/16 by González-Sanz, Alberto, de Lara, Lucas, Béthune, Louis +1 · 2 citations
   #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
4. Achieving robustness in classification using optimal transport with hinge regularization
   2020/06/11 by Mathieu Serrurier, Serrurier, Mathieu, Franck Mamalet +9 · 2 citations
   Computer Science · #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Stochastic Gradient Optimization Techniques
5. Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs
   2023/05/16 by Alberto González-Sanz, González-Sanz, Alberto, Shayan Hundrieser +1 · 2 citations
   Environmental Science · Mathematics · #49Q22 #60B10 #62E20 #62G20 #FOS: Mathematics #G.3 #Groundwater flow and contamination studies #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST)
6. Sparsity of Quadratically Regularized Optimal Transport: Scalar Case
   2024/10/04 by Alberto González-Sanz, González-Sanz, Alberto, Marcel Nutz +1 · 4 citations
   Computer Science · Mathematics · #49N05 #49N10 #90C25 #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Control (math.OC)
7. Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation
   2024/07/31 by Garriz-Molina, Alejandro, González-Sanz, Alberto, Mordant, Gilles · 3 citations
   #35J96 #35K55 #49Q22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
8. Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from its Marginals and Optimal Values
   2023/12/10 by González-Sanz, Alberto, Groppe, Michel, Munk, Axel · 2 citations
   #49Q22 (Primary) 45Q05 60E10 (Secondary) #FOS: Mathematics #Optimization and Control (math.OC)
9. Central Limit Theorems for General Transportation Costs
   2021/02/12 by Eustasio del Barrio, Alberto González-Sanz, del Barrio, Eustasio +3 · 1 citation
   Mathematics · Social Sciences · Engineering · #Point processes and geometric inequalities #Transportation Planning and Optimization #Traffic control and management
10. A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications
    2021/02/17 by de Lara, Lucas, González-Sanz, Alberto, Loubes, Jean-Michel · 1 citation
    #FOS: Mathematics #Statistics Theory (math.ST)
11. Monotonicity in Quadratically Regularized Linear Programs
    2024/08/15 by Alberto González-Sanz, Marcel Nutz, González-Sanz, Alberto +3 · 2 citations
    Computer Science · Engineering · Mathematics · #49N05 #49N10 #90C25 #Advanced Optimization Algorithms Research #Combinatorics (math.CO) #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Mathematical Programming #Optimization and Variational Analysis #Probability (math.PR)
12. Linearization of Monge-Ampère Equations and Statistical Applications
    2024/08/12 by González-Sanz, Alberto, Sheng, Shunan · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability
    2023/05/19 by Alberto González-Sanz, González-Sanz, Alberto, Marc Hallin +3 · 1 citation
    Mathematics · #49Q22 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Nonlinear Partial Differential Equations #Probability (math.PR)
14. Sparse Regularized Optimal Transport without Curse of Dimensionality
    2025/05/07 by González-Sanz, Alberto, Eckstein, Stephan, Nutz, Marcel · 3 citations
    #62G05 #62G30 #62R10 #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)
15. On the Nonconvexity of Push-Forward Constraints and Its Consequences in Machine Learning
    2024/03/12 by de Lara, Lucas, Deronzier, Mathis, González-Sanz, Alberto +1 · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
16. Quantitative Convergence of Quadratically Regularized Linear Programs
    2024/08/07 by González-Sanz, Alberto, Nutz, Marcel · 1 citation
    #49N05 #49N10 #90C25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
17. Identifiability and Exact Reconstruction of the Optimal Transport Cost on Finite Spaces
    2024/10/30 by Alberto González-Sanz, Michel Groppe, González-Sanz, Alberto +3 · 1 citation
    Mathematics · Engineering · #Differential Equations and Boundary Problems #Aerospace Engineering and Control Systems #Differential Equations and Numerical Methods