Eustasio del Barrio

1. Obtaining fairness using optimal transport theory
   2018/06/08 by Eustasio del Barrio, del Barrio, Eustasio, Fabrice Gamboa +5 · 19 citations
   Economics, Econometrics and Finance · #62H30 #68T01 #FOS: Mathematics #Game Theory and Voting Systems #Statistics Theory (math.ST)
2. A fixed-point approach to barycenters in Wasserstein space
   2015/11/17 by Pedro C. Álvarez-Esteban, Eustasio del Barrio, Álvarez-Esteban, Pedro C. +5 · 11 citations
   Mathematics · Engineering · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Fluid Dynamics and Turbulent Flows #Statistical Mechanics and Entropy
3. 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
4. Central Limit Theorem for empirical transportation cost in general dimension
   2017/05/03 by Eustasio del Barrio, Jean–Michel Loubes, Del Barrio, Eustasio +1 · 2 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Nonlinear Partial Differential Equations
5. The statistical effect of entropic regularization in optimal\n transportation
   2020/06/09 by Eustasio del Barrio, Jean–Michel Loubes, del Barrio, Eustasio +1 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Statistical Mechanics and Entropy #Statistics Theory (math.ST)
6. Confidence Intervals for Testing Disparate Impact in Fair Learning
   2018/07/17 by Philippe Besse, Besse, Philippe, Eustasio del Barrio +5 · 1 citation
   Computer Science · Mathematics · Social Sciences · #Advanced Causal Inference Techniques #Ethics and Social Impacts of AI #Explainable Artificial Intelligence (XAI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)
7. Center-Outward Distribution Functions, Quantiles, Ranks, and Signs in ℝ^d
   2018/06/04 by Eustasio del Barrio, del Barrio, Eustasio, Juan A. Cuesta‐Albertos +5 · 2 citations
   Mathematics · #Advanced Statistical Methods and Models #Statistical Methods and Inference #Statistical and numerical algorithms
8. 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
9. Review of Mathematical frameworks for Fairness in Machine Learning
   2020/05/26 by Eustasio del Barrio, del Barrio, Eustasio, Paula Gordaliza +3 · 2 citations
   Computer Science · Social Sciences · #Adversarial Robustness in Machine Learning #Ethics and Social Impacts of AI #Explainable Artificial Intelligence (XAI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
10. 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)