Lénaïc Chizat
- Unbalanced optimal transport: Dynamic and Kantorovich formulations
2018/03/09 by Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer +2 · 26 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
- Sample Complexity of Sinkhorn divergences
2018/10/05 by Aude Genevay, Genevay, Aude, Lénaïc Chizat +7 · 29 citations
Computer Science · Decision Sciences · #Adversarial Robustness in Machine Learning #FOS: Mathematics #Machine Learning and Algorithms #Probabilistic and Robust Engineering Design #Statistics Theory (math.ST)
- An Interpolating Distance between Optimal Transport and Fisher-Rao
2015/06/22 by Lénaïc Chizat, Bernhard Schmitzer, Chizat, Lenaic +5 · 10 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Scaling Algorithms for Unbalanced Transport Problems
2016/07/20 by Lénaïc Chizat, Chizat, Lenaic, Gabriel Peyré +5 · 7 citations
Engineering · Mathematics · #3D Shape Modeling and Analysis #65K10 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC) #Point processes and geometric inequalities
- Overrelaxed Sinkhorn-Knopp Algorithm for Regularized Optimal Transport
2017/11/06 by Alexis Thibault, Thibault, Alexis, Lénaïc Chizat +5 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Optimization and Variational Analysis #Spacecraft Dynamics and Control
- Deep linear networks for regression are implicitly regularized towards flat minima
2024/05/22 by Pierre Marion, Marion, Pierre, Lénaïc Chizat +1 · 5 citations
Computer Science · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications
- Displacement smoothness of entropic optimal transport
2022/10/01 by Guillaume Carlier, Lénaïc Chizat, Carlier, Guillaume +3 · 3 citations
Mathematics · #35A15 #49K40 #49Q22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC)
- The Feature Speed Formula: a flexible approach to scale hyper-parameters of deep neural networks
2023/11/30 by Lénaïc Chizat, Chizat, Lénaïc, Praneeth Netrapalli +1 · 4 citations
Computer Science · Physics and Astronomy · #68T07 #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning and ELM #Model Reduction and Neural Networks #Neural Networks and Applications
- Sharper Exponential Convergence Rates for Sinkhorn's Algorithm in Continuous Settings
2024/07/01 by Lénaïc Chizat, Chizat, Lénaïc, Alex Delalande +3 · 2 citations
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computability, Logic, AI Algorithms #FOS: Mathematics #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
- Mean-Field Langevin Dynamics for Signed Measures via a Bilevel Approach
2024/06/24 by Guillaume Wang, Alireza Mousavi-Hosseini, Wang, Guillaume +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)
- Quantum Optimal Transport for Tensor Field Processing
2016/12/20 by Gabriel Peyré, Peyré, Gabriel, Lénaïc Chizat +5 · 1 citation
Medicine · Engineering · Computer Science · #Advanced Neuroimaging Techniques and Applications #Sparse and Compressive Sensing Techniques #Medical Image Segmentation Techniques
- Dropout and Random Gradient Masking Are Asymptotically Equivalent in Large ResNets
2026/07/18 by Javier Maass, Lénaïc Chizat
#stat.ML #cs.LG #math.PR