Quentin Mérigot

Publications

Article dans une revue (30)

Strong c-concavity and stability in optimal transport Anatole Gallouët,Quentin Mérigot,Boris Thibert Journal de Mathématiques Pures et Appliquées, 2026, 205, pp.103773. ⟨10.1016/j.matpur.2025.103773⟩ Article dans une revue hal-03735775v2
Large-scale semi-discrete optimal transport with distributed Voronoi diagrams Bruno Lévy,Nicolas Ray,Quentin Merigot,Hugo Leclerc Journal of Computational Physics, 2025, pp.114374. ⟨10.1016/j.jcp.2025.114374⟩ Article dans une revue hal-05253830v1
Quantitative Stability of Barycenters in the Wasserstein Space Guillaume Carlier,Alex Delalande,Quentin Merigot Probability Theory and Related Fields, 2023, ⟨10.1007/s00440-023-01241-5⟩ Article dans une revue hal-03781835v2
Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure Alex Delalande,Quentin Merigot Duke Mathematical Journal, 2023, ⟨10.1215/00127094-2022-0106⟩ Article dans une revue hal-03164147v2
A damped Newton algorithm for generated Jacobian equations Anatole Gallouët,Quentin Mérigot,Boris Thibert Calculus of Variations and Partial Differential Equations, 2022, 61 (2), pp.49. ⟨10.1007/s00526-021-02147-7⟩ Article dans une revue hal-03116036v1
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow Thomas Gallouët,Quentin Merigot,Andrea Natale SIAM Journal on Mathematical Analysis, 2022, 54 (3), ⟨10.1137/21M1422756⟩ Article dans une revue hal-03234144v2
Lagrangian discretization of crowd motion and linear diffusion Hugo Leclerc,Quentin Mérigot,Filippo Santambrogio,Federico Stra SIAM Journal on Numerical Analysis, 2020, 58 (4), pp.2093-2118. ⟨10.1137/19M1274201⟩ Article dans une revue hal-02124815v2
Miroirs, lentilles et équations de Monge-Ampère Quentin Merigot,Boris Thibert La gazette des mathématiciens, 2020, 166, pp.6-21 Article dans une revue hal-04916561v1
Convergence of a Newton algorithm for semi-discrete optimal transport Jun Kitagawa,Quentin Mérigot,Boris Thibert Journal of the European Mathematical Society, 2019, 21 (9), pp.2603-2651. ⟨10.4171/JEMS/889⟩ Article dans une revue hal-01290496v1
One more proof of the Alexandrov–Fenchel inequality Dario Cordero-Erausquin,Bo'Az Klartag,Quentin Mérigot,Filippo Santambrogio Comptes Rendus. Mathématique, 2019, 357 (8), pp.676-680. ⟨10.1016/j.crma.2019.07.004⟩ Article dans une revue hal-02321749v1
A graph space optimal transport distance as a generalization of Lp distances: application to a seismic imaging inverse problem Ludovic Métivier,Romain Brossier,Quentin Merigot,Edouard Oudet Inverse Problems, 2019, 35 (8), pp.085001. ⟨10.1088/1361-6420/ab206f⟩ Article dans une revue hal-02325618v1
Optimal transport for mitigating cycle skipping in full-waveform inversion: A graph-space transform approach Ludovic Métivier,Aude Allain,Romain Brossier,Quentin Mérigot,Edouard Oudetet al. Geophysics, 2018, 83 (5), pp.R515-R540. ⟨10.1190/geo2017-0807.1⟩ Article dans une revue hal-02010700v1
Light in Power: A General and Parameter-free Algorithm for Caustic Design Jocelyn Meyron,Quentin Mérigot,Boris Thibert ACM Transactions on Graphics, 2018, 37 (6), pp.1-13. ⟨10.1145/3272127.3275056⟩ Article dans une revue hal-01570739v2
An optimal transport approach for seismic tomography: application to 3D full waveform inversion Ludovic Métivier,Romain Brossier,Quentin Merigot,Edouard Oudet,Jean Virieux Inverse Problems, 2016, 32 (11), pp.115008:1-36. ⟨10.1088/0266-5611/32/11/115008⟩ Article dans une revue hal-01499535v1
Far-field reflector problem and intersection of paraboloids Pedro Machado Manhães de Castro,Quentin Mérigot,Boris Thibert Numerische Mathematik, 2016, 134 (2), pp.389-411. ⟨10.1007/s00211-015-0780-z⟩ Article dans une revue hal-00952720v1
Discrete optimal transport: complexity, geometry and applications Quentin Mérigot,Edouard Oudet Discrete and Computational Geometry, 2016, 55 (2), pp.263-283. ⟨10.1007/s00454-016-9757-7⟩ Article dans une revue hal-00980195v1
Minimal geodesics along volume preserving maps, through semi-discrete optimal transport Quentin Mérigot,Jean-Marie Mirebeau SIAM Journal on Numerical Analysis, 2016, 54 (6), pp.3465-3492. ⟨10.1137/15M1017235⟩ Article dans une revue hal-01152168v2
Discretization of functionals involving the Monge-Ampère operator Jean-David Benamou,Guillaume Carlier,Quentin Mérigot,Edouard Oudet Numerische Mathematik, 2016, 134 (3), pp.611-636. ⟨10.1007/s00211-015-0781-y⟩ Article dans une revue hal-01112210v1
Far-Field Reflector Problem Under Design Constraints Julien André,Dominique Attali,Quentin Merigot,Boris Thibert International Journal of Computational Geometry and Applications, 2015, 25 (02), pp.143 - 162. ⟨10.1142/S0218195915500090⟩ Article dans une revue hal-01884477v1
On the reconstruction of convex sets from random normal measurements Hiba Abdallah,Quentin Mérigot Discrete and Computational Geometry, 2015, 53 (3), pp.569-586. ⟨10.1007/s00454-015-9673-2⟩ Article dans une revue hal-00950000v1
Robust Geometry Estimation using the Generalized Voronoi Covariance Measure Louis Cuel,Jacques-Olivier Lachaud,Quentin Mérigot,Boris Thibert SIAM Journal on Imaging Sciences, 2015, 8 (2), pp.1293-1314. ⟨10.1137/140977552⟩ Article dans une revue hal-01058145v2
Handling convexity-like constraints in variational problems Quentin Mérigot,Edouard Oudet SIAM Journal on Numerical Analysis, 2014, 52 (5), pp.2466-2487. ⟨10.1137/130938359⟩ Article dans une revue hal-00957427v2
Witnessed k-Distance Leonidas J. Guibas,Quentin Mérigot,Dmitriy Morozov Discrete and Computational Geometry, 2013, 49 (1), pp.22-45. ⟨10.1007/s00454-012-9465-x⟩ Article dans une revue hal-00569029v1
Shape Matching via Quotient Spaces Maks Ovsjanikov,Quentin Mérigot,Viorica Pătrăucean,Leonidas J. Guibas Computer Graphics Forum, 2013, 32 (5), pp.1-11. ⟨10.1111/cgf.12167⟩ Article dans une revue istex hal-00947802v1
Anosov AdS representations are quasi-Fuchsian Thierry Barbot,Quentin Mérigot Groups, Geometry, and Dynamics, 2012, 6 (3), pp.441-483. ⟨10.4171/GGD/163⟩ Article dans une revue hal-02071768v1
A multiscale approach to optimal transport Quentin Mérigot Computer Graphics Forum, 2011, 30 (5), pp.1584-1592. ⟨10.1111/j.1467-8659.2011.02032.x⟩ Article dans une revue istex hal-00604684v1
Geometric Inference for Measures based on Distance Functions Frédéric Chazal,David Cohen-Steiner,Quentin Mérigot Foundations of Computational Mathematics, 2011, 11 (6), pp.733-751. ⟨10.1007/s10208-011-9098-0⟩ Article dans une revue istex inria-00383685v2
Geometric Inference for Probability Measures Frédéric Chazal,David Cohen-Steiner,Quentin Mérigot Foundations of Computational Mathematics, 2011, 11 (6), pp.733-751. ⟨10.1007/s10208-011-9098-0⟩ Article dans une revue istex hal-00772444v1
Voronoi-Based Curvature and Feature Estimation from Point Clouds Quentin Mérigot,Maks Ovsjanikov,Leonidas J. Guibas IEEE Transactions on Visualization and Computer Graphics, 2011, 17 (6), pp.743 - 756. ⟨10.1109/TVCG.2010.261⟩ Article dans une revue inria-00406575v2
One Point Isometric Matching with the Heat Kernel Maks Ovsjanikov,Quentin Mérigot,Facundo Mémoli,Leonidas J. Guibas Computer Graphics Forum, 2010, 29 (5), pp.1555-1564. ⟨10.1111/j.1467-8659.2010.01764.x⟩ Article dans une revue hal-00543885v1

Communication dans un congrès (9)

Towards Understanding Gradient Dynamics of the Sliced-Wasserstein Distance via Critical Point Analysis Christophe Vauthier,Anna Korba,Quentin Merigot ICML 2025 - 42nd International Conference on Machine Learning, Jul 2025, Vancouver (BC), Canada Communication dans un congrès hal-05501117v1
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds Quentin Merigot,Filippo Santambrogio,Clément Sarrazin 35th Conference on Neural Information Processing Systems (NeurIPS 2021), Dec 2021, Online, France. pp.12810--12821, ⟨10.48550/arXiv.2106.07911⟩ Communication dans un congrès hal-03256039v1
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space Quentin Merigot,Alex Delalande,Frédéric Chazal AISTATS 2020 - 23rd International Conference on Artificial Intelligence and Statistics, Aug 2020, Palermo /Online, Italy. pp.3186-3196 Communication dans un congrès hal-02315998v1
A graph space optimal transport misfit measurement for FWI: auction algorithm, application to the 2D Valhall case study Ludovic Métivier,Romain Brossier,Quentin Merigot,Edouard Oudet 81st EAGE Conference and Exhibition 2019, Jun 2019, London, United Kingdom. ⟨10.3997/2214-4609.201900870⟩ Communication dans un congrès hal-02325655v1
An optimal transport distance for full-waveform inversion: Application to the 2014 Chevron benchmark data set Ludovic Métivier,Romain Brossier,Edouard Oudet,Quentin Mérigot,Jean Virieux SEG Technical Program Expanded Abstracts 2016, Oct 2016, Dallas, United States. pp.1278-1283, ⟨10.1190/segam2016-13870096.1⟩ Communication dans un congrès hal-02009564v1
Lower bounds for k-distance approximation Quentin Mérigot SoCG '13 - 29th ACM Symposium on Computational Geometry, Jun 2013, Rio de Janeiro, Brazil. pp.435-440, ⟨10.1145/2462356.2462367⟩ Communication dans un congrès hal-00803410v1
A comparison of two dual methods for discrete optimal transport Quentin Mérigot GSI 2013 - Geometric Science of Information, Aug 2013, Paris, France. pp.389-396, ⟨10.1007/978-3-642-40020-9_42⟩ Communication dans un congrès istex hal-00982981v1
Witnessed k-distance Leonidas J. Guibas,Quentin Mérigot,Dmitriy Morozov SoCG 2011 - 27th Annual Symposium on Computational Geometry, Jun 2011, Paris, France. pp.57-64, ⟨10.1145/1998196.1998205⟩ Communication dans un congrès hal-00872490v1
Feature Preserving Mesh Generation from 3D Point Clouds Nader Salman,Mariette Yvinec,Quentin Mérigot Computer Graphics Forum, Jul 2010, Lyon, France. pp.1623-1632 Communication dans un congrès inria-00497632v1

Thèse (1)

Détection de structure géométrique dans les nuages de points Quentin Mérigot Mathématiques [math]. Université Nice Sophia Antipolis, 2009. Français. ⟨NNT : ⟩ Thèse tel-00443038v2