Quentin Mérigot
- Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure
2021/03/10 by Alex Delalande, Delalande, Alex, Quentin Mérigot +1 · 7 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Metric Geometry (math.MG) #Point processes and geometric inequalities
- An algorithm for optimal transport between a simplex soup and a point\n cloud
2017/07/05 by Quentin Mérigot, Jocelyn Meyron, Mérigot, Quentin +3 · 5 citations
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods
- Gluing methods for quantitative stability of optimal transport maps
2024/11/07 by Cyril Letrouit, Quentin Mérigot, Letrouit, Cyril +1 · 6 citations
#math.AP #math.PR
- 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
- Minimal geodesics along volume preserving maps, through semi-discrete optimal transport
2015/05/13 by Quentin Mérigot, Mérigot, Quentin, Jean‐Marie Mirebeau +1 · 2 citations
Mathematics · Physics and Astronomy · #35Q31 #65D18 #65N99 #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Numerical Analysis (math.NA)
- Robust risk management via multi-marginal optimal transport
2022/11/14 by Hamza Ennaji, Quentin Mérigot, Ennaji, Hamza +5 · 2 citations
Decision Sciences · Economics, Econometrics and Finance · #Risk and Portfolio Optimization #Stochastic processes and financial applications #Probability and Risk Models
- 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)