Guillaume Carlier
- Iterative Bregman Projections for Regularized Transportation Problems
2014/12/16 by Jean‐David Benamou, Benamou, Jean-David, Guillaume Carlier +7 · 33 citations
Decision Sciences · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA) #Point processes and geometric inequalities #Risk and Portfolio Optimization
- Deep Relaxation: partial differential equations for optimizing deep\n neural networks
2017/04/17 by Pratik Chaudhari, Chaudhari, Pratik, Adam M. Oberman +7 · 4 citations
Computer Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
- Convergence rate of general entropic optimal transport costs
2022/06/07 by Guillaume Carlier, Paul Pegon, Carlier, Guillaume +3 · 4 citations
Mathematics · #49K40 (Secondary) #49Q22 (Primary) 49N15 #94A17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Optimization and Control (math.OC)
- Generalized incompressible flows, multi-marginal transport and Sinkhorn\n algorithm
2017/10/23 by Jean‐David Benamou, Benamou, Jean-David, Guillaume Carlier +3 · 2 citations
Engineering · Mathematics · #65K10 #76M30 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- 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)
- SISTA: learning optimal transport costs under sparsity constraints
2020/09/17 by Guillaume Carlier, Carlier, Guillaume, Dupuy, Arnaud +4 · 2 citations
Computer Science · Economics, Econometrics and Finance · Mathematics · Social Sciences · #Advanced Optimization Algorithms Research #FOS: Computer and information sciences #FOS: Mathematics #Human Mobility and Location-Based Analysis #Markov Chains and Monte Carlo Methods #Methodology (stat.ME) #Migration and Labor Dynamics #Optimization and Control (math.OC) #Spatial and Panel Data Analysis #Stochastic Gradient Optimization Techniques
- Discretization of functionals involving the Monge-Ampère operator
2014/08/20 by Jean‐David Benamou, Guillaume Carlier, Benamou, Jean-David +5 · 2 citations
Mathematics · Medicine · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Neuroimaging Techniques and Applications
- Numerical methods for matching for teams and Wasserstein barycenters
2014/11/13 by Guillaume Carlier, Adam M. Oberman, Carlier, Guillaume +3 · 4 citations
Economics, Econometrics and Finance · Computer Science · Mathematics · #Game Theory and Voting Systems #Distributed Control Multi-Agent Systems #Gas Dynamics and Kinetic Theory
- Sharp comparisons between sliced and standard 1-Wasserstein distances
2025/10/18 by Guillaume Carlier, Alessio Figalli, Carlier, Guillaume +5 · 1 citation
Mathematics · #39B62 #49Q22 #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Optimization and Control (math.OC) #Point processes and geometric inequalities #Statistics Theory (math.ST)