François-Xavier Vialard

1. Unbalanced optimal transport: Dynamic and Kantorovich formulations
   2018/03/09 by Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer +2 · 60 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
2. An Interpolating Distance between Optimal Transport and Fisher-Rao
   2015/06/22 by Lénaïc Chizat, Lenaic Chizat, Chizat, Lenaic +7 · 25 citations
   Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP
3. On Completeness of Groups of Diffeomorphisms
   2014/03/09 by Martins Bruveris, Bruveris, Martins, François-Xavier Vialard +1 · 6 citations
   Mathematics · #58B20 #58D05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG #msc:58B20 #msc:58D05
4. Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe
   2022/01/03 by Thibault Séjourné, François-Xavier Vialard, Séjourné, Thibault +3 · 2 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning and Algorithms #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
5. Inverse Consistency by Construction for Multistep Deep Registration
   2023/04/28 by Hastings Greer, Greer, Hastings, Lin Tian +13 · 3 citations
   Computer Science · Engineering · Medicine · #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Medical Imaging and Analysis
6. Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View
   2010/03/19 by Alain Trouvé, François-Xavier Vialard, Trouvé, Alain +1 · 1 citation
   Mathematics · #93E14 #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR) #math.OC #math.PR #msc:93E14
7. Extension to Infinite Dimensions of a Stochastic Second-Order Model associated with the Shape Splines
   2010/03/20 by François-Xavier Vialard, Vialard, François-Xavier · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · #FOS: Biological sciences #FOS: Mathematics #Probability (math.PR) #Quantitative Methods (q-bio.QM) #math.PR #q-bio.QM