Quentin Mérigot

Documents

Publications

	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⟩ Journal articles 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⟩ Journal articles hal-03164147v2
	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⟩ Journal articles 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⟩ Journal articles hal-02124815v2
	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⟩ Journal articles hal-02325618v1
	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⟩ Journal articles hal-02321749v1
	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⟩ Journal articles hal-01570739v2
	Optimal transport for mitigating cycle skipping in full-waveform inversion: A graph-space transform approach Ludovic Métivier , Aude Allain , Romain Brossier , Quentin Mérigot , Edouard Oudet Geophysics, 2018, 83 (5), pp.R515-R540. ⟨10.1190/geo2017-0807.1⟩ Journal articles hal-02010700v1
	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⟩ Journal articles hal-01152168v2
	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⟩ Journal articles 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⟩ Journal articles hal-00952720v1
	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⟩ Journal articles hal-01112210v1
	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⟩ Journal articles hal-00980195v1
	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⟩ Journal articles hal-01058145v2
	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⟩ Journal articles 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⟩ Journal articles hal-00950000v1
	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⟩ Journal articles 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⟩ Journal articles 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⟩ Journal articles 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⟩ Journal articles hal-02071768v1
	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⟩ Journal articles inria-00406575v2
	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⟩ Journal articles hal-00604684v1
	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⟩ Journal articles hal-00772444v1
	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⟩ Journal articles inria-00383685v2
	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⟩ Journal articles hal-00543885v1

	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⟩ Conference papers 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 Conference papers 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⟩ Conference papers 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⟩ Conference papers hal-02009564v1
	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⟩ Conference papers hal-00982981v1
	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⟩ Conference papers hal-00803410v1
	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⟩ Conference papers 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 Conference papers inria-00497632v1

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

Quentin Mérigot

Publications

Quantitative Stability of Barycenters in the Wasserstein Space

Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure

Convergence of a Lagrangian discretization for barotropic fluids and porous media flow

Lagrangian discretization of crowd motion and linear diffusion

A graph space optimal transport distance as a generalization of Lp distances: application to a seismic imaging inverse problem

One more proof of the Alexandrov–Fenchel inequality

Light in Power: A General and Parameter-free Algorithm for Caustic Design

Optimal transport for mitigating cycle skipping in full-waveform inversion: A graph-space transform approach

Minimal geodesics along volume preserving maps, through semi-discrete optimal transport

An optimal transport approach for seismic tomography: application to 3D full waveform inversion

Far-field reflector problem and intersection of paraboloids

Discretization of functionals involving the Monge-Ampère operator

Discrete optimal transport: complexity, geometry and applications

Robust Geometry Estimation using the Generalized Voronoi Covariance Measure

Far-Field Reflector Problem Under Design Constraints

On the reconstruction of convex sets from random normal measurements

Handling convexity-like constraints in variational problems

Witnessed k-Distance

Shape Matching via Quotient Spaces

Anosov AdS representations are quasi-Fuchsian

Voronoi-Based Curvature and Feature Estimation from Point Clouds

A multiscale approach to optimal transport

Geometric Inference for Probability Measures

Geometric Inference for Measures based on Distance Functions

One Point Isometric Matching with the Heat Kernel

Non-asymptotic convergence bounds for Wasserstein approximation using point clouds

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space

A graph space optimal transport misfit measurement for FWI: auction algorithm, application to the 2D Valhall case study

An optimal transport distance for full-waveform inversion: Application to the 2014 Chevron benchmark data set

A comparison of two dual methods for discrete optimal transport

Lower bounds for k-distance approximation

Witnessed k-distance

Feature Preserving Mesh Generation from 3D Point Clouds

Détection de structure géométrique dans les nuages de points