Alberto González-Sanz
- Transport-based Counterfactual Models
2021/08/30 by de Lara, Lucas, González-Sanz, Alberto, Asher, Nicholas +7 · 3 citations
Computer Science · Mathematics · Neuroscience · Social Sciences · #Advanced Causal Inference Techniques #Artificial Intelligence (cs.AI) #Bayesian Modeling and Causal Inference #Ethics and Social Impacts of AI #Explainable Artificial Intelligence (XAI) #FOS: Computer and information sciences #Psychology of Moral and Emotional Judgment
- GAN Estimation of Lipschitz Optimal Transport Maps
2022/02/16 by Alberto González-Sanz, Lucas de Lara, González-Sanz, Alberto +5 · 3 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
- Achieving robustness in classification using optimal transport with hinge regularization
2020/06/11 by Mathieu Serrurier, Franck Mamalet, Serrurier, Mathieu +9 · 3 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
- Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs
2023/05/16 by Alberto González-Sanz, Shayan Hundrieser, González-Sanz, Alberto +1 · 3 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)
- Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation
2024/07/31 by Alejandro Garriz-Molina, Alberto González-Sanz, Garriz-Molina, Alejandro +3 · 4 citations
Computer Science · #35J96 #35K55 #49Q22 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Sparsity of Quadratically Regularized Optimal Transport: Scalar Case
2024/10/04 by Alberto González-Sanz, González-Sanz, Alberto, Marcel Nutz +1 · 5 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)
- Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from its Marginals and Optimal Values
2023/12/10 by Alberto González-Sanz, Michel Groppe, González-Sanz, Alberto +3 · 2 citations
Computer Science · Decision Sciences · Engineering · #49Q22 (Primary) 45Q05 60E10 (Secondary) #Asphalt Pavement Performance Evaluation #FOS: Mathematics #Geochemistry and Geologic Mapping #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design
- Central Limit Theorems for General Transportation Costs
2021/02/12 by Eustasio del Barrio, del Barrio, Eustasio, Alberto González-Sanz +3 · 2 citations
Mathematics · Social Sciences · Engineering · #Point processes and geometric inequalities #Transportation Planning and Optimization #Traffic control and management
- Monotonicity in Quadratically Regularized Linear Programs
2024/08/15 by Alberto González-Sanz, González-Sanz, Alberto, Marcel Nutz +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)
- Diffeomorphic Registration using Sinkhorn Divergences
2022/06/28 by Lucas de Lara, de Lara, Lucas, Alberto González-Sanz +3 · 1 citation
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Medical Image Segmentation Techniques #Robotics and Sensor-Based Localization #Statistics Theory (math.ST)
- Gaussian Processes on Distributions based on Regularized Optimal Transport
2022/10/12 by François Bachoc, Bachoc, François, Louis Béthune +5 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistical Mechanics and Entropy #Water Systems and Optimization
- 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)
- Regularity of center-outward distribution functions in non-convex domains
2023/03/29 by Eustasio del Barrio, Alberto González-Sanz, del Barrio, Eustasio +1 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Functional Equations Stability Results #Point processes and geometric inequalities #Probability (math.PR) #Statistical and Computational Modeling #Statistics Theory (math.ST)
- Quantitative Convergence of Quadratically Regularized Linear Programs
2024/08/07 by Alberto González-Sanz, González-Sanz, Alberto, Marcel Nutz +1 · 1 citation
Computer Science · Mathematics · #49N05 #49N10 #90C25 #Advanced Optimization Algorithms Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Optimization and Variational Analysis #Probability (math.PR)
- 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
- The Influence Function of Transport-based Quantiles
2026/07/21 by Alberto González-Sanz, Shunan Sheng, Bohan Wu +1
#math.ST #stat.ME #stat.TH
- Sharp Asymptotics for Regularized Optimal Transport
2026/07/20 by Carlos Cardoso-Perelló, Alberto González-Sanz, Marcel Nutz
#math.AP #math.OC #math.PR