Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Flow updates for domain decomposition of entropic optimal transport

Ismael Medina and Bernhard Schmitzer
ESAIM: Mathematical Modelling and Numerical Analysis 59 (3) 1239 (2025)
https://doi.org/10.1051/m2an/2025022

Inverting Laguerre tessellations: recovering tessellations from the volumes and centroids of their cells using optimal transport

David P. Bourne, Mason Pearce and Steven M. Roper
ESAIM: Mathematical Modelling and Numerical Analysis 59 (2) 841 (2025)
https://doi.org/10.1051/m2an/2025004

A System of Hamilton-Jacobi Equations Characterizing Geodesic Centroidal Tessellations

Fabio Camilli and Adriano Festa
Communications on Applied Mathematics and Computation 7 (1) 289 (2025)
https://doi.org/10.1007/s42967-023-00276-8

End-to-end Surface Optimization for Light Control

Yuou Sun, Bailin Deng and Juyong Zhang
ACM Transactions on Graphics 44 (3) 1 (2025)
https://doi.org/10.1145/3732284

Approximation theory, computing, and deep learning on the Wasserstein space

Massimo Fornasier, Pascal Heid and Giacomo Enrico Sodini
Mathematical Models and Methods in Applied Sciences 35 (04) 825 (2025)
https://doi.org/10.1142/S0218202525500113

Distributionally robust optimization using optimal transport for Gaussian mixture models

Sanjula Kammammettu, Shu-Bo Yang and Zukui Li
Optimization and Engineering 25 (3) 1571 (2024)
https://doi.org/10.1007/s11081-023-09856-2

Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport

Bruno Lévy, Yann Brenier and Roya Mohayaee
Physical Review D 110 (6) (2024)
https://doi.org/10.1103/PhysRevD.110.063550

Stability and statistical inference for semidiscrete optimal transport maps

Ritwik Sadhu, Ziv Goldfeld and Kengo Kato
The Annals of Applied Probability 34 (6) (2024)
https://doi.org/10.1214/24-AAP2104

Quantitative Stability of the Pushforward Operation by an Optimal Transport Map

Guillaume Carlier, Alex Delalande and Quentin Mérigot
Foundations of Computational Mathematics (2024)
https://doi.org/10.1007/s10208-024-09669-4

The back-and-forth method for the quadratic Wasserstein distance-based full-waveform inversion

Hao Zhang, Weiguang He and Jianwei Ma
GEOPHYSICS 88 (4) R469 (2023)
https://doi.org/10.1190/geo2022-0383.1

A survey of Optimal Transport for Computer Graphics and Computer Vision

Nicolas Bonneel and Julie Digne
Computer Graphics Forum 42 (2) 439 (2023)
https://doi.org/10.1111/cgf.14778

Semi-discrete optimal transport: hardness, regularization and numerical solution

Bahar Taşkesen, Soroosh Shafieezadeh-Abadeh and Daniel Kuhn
Mathematical Programming 199 (1-2) 1033 (2023)
https://doi.org/10.1007/s10107-022-01856-x

A Unifying Framework for $n$-Dimensional Quasi-Conformal Mappings

Daoping Zhang, Gary P. T. Choi, Jianping Zhang and Lok Ming Lui
SIAM Journal on Imaging Sciences 15 (2) 960 (2022)
https://doi.org/10.1137/21M1457497

Semi-discrete optimal transport methods for the semi-geostrophic equations

David P. Bourne, Charlie P. Egan, Beatrice Pelloni and Mark Wilkinson
Calculus of Variations and Partial Differential Equations 61 (1) (2022)
https://doi.org/10.1007/s00526-021-02133-z

Accurate Baryon Acoustic Oscillations Reconstruction via Semidiscrete Optimal Transport

Sebastian von Hausegger, Bruno Lévy and Roya Mohayaee
Physical Review Letters 128 (20) (2022)
https://doi.org/10.1103/PhysRevLett.128.201302

Inverse design of 3D reconfigurable curvilinear modular origami structures using geometric and topological reconstructions

Kai Xiao, Zihe Liang, Bihui Zou, Xiang Zhou and Jaehyung Ju
Nature Communications 13 (1) (2022)
https://doi.org/10.1038/s41467-022-35224-2

Multivariate ranks and quantiles using optimal transport: Consistency, rates and nonparametric testing

Promit Ghosal and Bodhisattva Sen
The Annals of Statistics 50 (2) (2022)
https://doi.org/10.1214/21-AOS2136

A Newton Algorithm for Semidiscrete Optimal Transport with Storage Fees

Mohit Bansil and Jun Kitagawa
SIAM Journal on Optimization 31 (4) 2586 (2021)
https://doi.org/10.1137/20M1357226

Quantitative stability and error estimates for optimal transport plans

Wenbo Li and Ricardo H Nochetto
IMA Journal of Numerical Analysis 41 (3) 1941 (2021)
https://doi.org/10.1093/imanum/draa045

Multivariate goodness-of-fit tests based on Wasserstein distance

Marc Hallin, Gilles Mordant and Johan Segers
Electronic Journal of Statistics 15 (1) (2021)
https://doi.org/10.1214/21-EJS1816

A Stochastic Multi-layer Algorithm for Semi-discrete Optimal Transport with Applications to Texture Synthesis and Style Transfer

Arthur Leclaire and Julien Rabin
Journal of Mathematical Imaging and Vision 63 (2) 282 (2021)
https://doi.org/10.1007/s10851-020-00975-4

Restricted Power Diagrams on the GPU

J. Basselin, L. Alonso, N. Ray, D. Sokolov, S. Lefebvre and B. Lévy
Computer Graphics Forum 40 (2) 1 (2021)
https://doi.org/10.1111/cgf.142610

3/4-Discrete Optimal Transport

Léo Lebrat, Frédéric de Gournay and Jonas Kahn
SIAM Journal on Scientific Computing 42 (4) A2088 (2020)
https://doi.org/10.1137/19M1252569

Sliced optimal transport sampling

Lois Paulin, Nicolas Bonneel, David Coeurjolly, Jean-Claude Iehl, Antoine Webanck, Mathieu Desbrun and Victor Ostromoukhov
ACM Transactions on Graphics 39 (4) (2020)
https://doi.org/10.1145/3386569.3392395

Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes

D. P. Bourne, P. J. J. Kok, S. M. Roper and W. D. T. Spanjer
Philosophical Magazine 100 (21) 2677 (2020)
https://doi.org/10.1080/14786435.2020.1790053

Automatically Controlled Morphing of 2D Shapes with Textures

Alexander Tereshin, Valery Adzhiev, Oleg Fryazinov, Felix Marrington-Reeve and Alexander Pasko
SIAM Journal on Imaging Sciences 13 (1) 78 (2020)
https://doi.org/10.1137/19M1241581

Lagrangian Discretization of Crowd Motion and Linear Diffusion

Hugo Leclerc, Quentin Mérigot, Filippo Santambrogio and Federico Stra
SIAM Journal on Numerical Analysis 58 (4) 2093 (2020)
https://doi.org/10.1137/19M1274201

Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials

Jannick Kuhn, Matti Schneider, Petra Sonnweber-Ribic and Thomas Böhlke
Computer Methods in Applied Mechanics and Engineering 369 113175 (2020)
https://doi.org/10.1016/j.cma.2020.113175

Computational methods for martingale optimal transport problems

Gaoyue Guo and Jan Obłój
The Annals of Applied Probability 29 (6) (2019)
https://doi.org/10.1214/19-AAP1481

Scale Space and Variational Methods in Computer Vision

Arthur Leclaire and Julien Rabin
Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 11603 341 (2019)
https://doi.org/10.1007/978-3-030-22368-7_27

Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem

JEAN-DAVID BENAMOU and VINCENT DUVAL
European Journal of Applied Mathematics 30 (6) 1041 (2019)
https://doi.org/10.1017/S0956792518000451

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

L Métivier, R Brossier, Q Mérigot and E Oudet
Inverse Problems 35 (8) 085001 (2019)
https://doi.org/10.1088/1361-6420/ab206f

Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space

Jean-David Benamou, Thomas O. Gallouët and François-Xavier Vialard
Foundations of Computational Mathematics 19 (5) 1113 (2019)
https://doi.org/10.1007/s10208-019-09425-z

The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation

Luca Dieci and J.D. Walsh III
Journal of Computational and Applied Mathematics 353 318 (2019)
https://doi.org/10.1016/j.cam.2018.12.034

Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure

Frédéric de Gournay, Jonas Kahn and Léo Lebrat
Numerische Mathematik 141 (2) 429 (2019)
https://doi.org/10.1007/s00211-018-1000-4

Convergence Framework for the Second Boundary Value Problem for the Monge--Ampère Equation

Brittany Froese Hamfeldt
SIAM Journal on Numerical Analysis 57 (2) 945 (2019)
https://doi.org/10.1137/18M1201913

Mapping the human subcortical auditory system using histology, postmortem MRI and in vivo MRI at 7T

Kevin R Sitek, Omer Faruk Gulban, Evan Calabrese, et al.
eLife 8 (2019)
https://doi.org/10.7554/eLife.48932

Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems

Bernhard Schmitzer
SIAM Journal on Scientific Computing 41 (3) A1443 (2019)
https://doi.org/10.1137/16M1106018

Optimal Transport Approximation of 2-Dimensional Measures

Léo Lebrat, Frédéric de Gournay, Jonas Kahn and Pierre Weiss
SIAM Journal on Imaging Sciences 12 (2) 762 (2019)
https://doi.org/10.1137/18M1193736

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm

Jean-David Benamou, Guillaume Carlier and Luca Nenna
Numerische Mathematik 142 (1) 33 (2019)
https://doi.org/10.1007/s00211-018-0995-x

A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

Thomas O. Gallouët and Quentin Mérigot
Foundations of Computational Mathematics 18 (4) 835 (2018)
https://doi.org/10.1007/s10208-017-9355-y

Dynamical optimal transport on discrete surfaces

Hugo Lavenant, Sebastian Claici, Edward Chien and Justin Solomon
ACM Transactions on Graphics 37 (6) 1 (2018)
https://doi.org/10.1145/3272127.3275064

The Entropic Regularization of the Monge Problem on the Real Line

Simone Di Marino and Jean Louet
SIAM Journal on Mathematical Analysis 50 (4) 3451 (2018)
https://doi.org/10.1137/17M1123523

Rates of Convergence in $W^2_p$-Norm for the Monge--Ampère Equation

Michael Neilan and Wujun Zhang
SIAM Journal on Numerical Analysis 56 (5) 3099 (2018)
https://doi.org/10.1137/17M1160409

A Texture Synthesis Model Based on Semi-Discrete Optimal Transport in Patch Space

B. Galerne, A. Leclaire and J. Rabin
SIAM Journal on Imaging Sciences 11 (4) 2456 (2018)
https://doi.org/10.1137/18M1175781

Fast Entropic Regularized Optimal Transport Using Semidiscrete Cost Approximation

Evgeny Tenetov, Gershon Wolansky and Ron Kimmel
SIAM Journal on Scientific Computing 40 (5) A3400 (2018)
https://doi.org/10.1137/17M1162925

An Algorithm for Optimal Transport between a Simplex Soup and a Point Cloud

Quentin Mérigot, Jocelyn Meyron and Boris Thibert
SIAM Journal on Imaging Sciences 11 (2) 1363 (2018)
https://doi.org/10.1137/17M1137486

Discretization of Euler’s equations using optimal transport: Cauchy and boundary value problems

Quentin Mérigot
Séminaire Laurent Schwartz — EDP et applications 1 (2017)
https://doi.org/10.5802/slsedp.109

Optimal Mass Transport: Signal processing and machine-learning applications

Soheil Kolouri, Se Rim Park, Matthew Thorpe, Dejan Slepcev and Gustavo K. Rohde
IEEE Signal Processing Magazine 34 (4) 43 (2017)
https://doi.org/10.1109/MSP.2017.2695801

Restricting Voronoi diagrams to meshes using corner validation

M. Sainlot, V. Nivoliers and D. Attali
Computer Graphics Forum 36 (5) 81 (2017)
https://doi.org/10.1111/cgf.13247

Optimal Transport via a Monge--Ampère Optimization Problem

Michael Lindsey and Yanir A. Rubinstein
SIAM Journal on Mathematical Analysis 49 (4) 3073 (2017)
https://doi.org/10.1137/16M1071560

A Smoothed Dual Approach for Variational Wasserstein Problems

Marco Cuturi and Gabriel Peyré
SIAM Journal on Imaging Sciences 9 (1) 320 (2016)
https://doi.org/10.1137/15M1032600

Minimal Geodesics Along Volume-Preserving Maps, Through Semidiscrete Optimal Transport

Quentin Mérigot and Jean-Marie Mirebeau
SIAM Journal on Numerical Analysis 54 (6) 3465 (2016)
https://doi.org/10.1137/15M1017235

Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams

Jean-Marie Mirebeau
ESAIM: Mathematical Modelling and Numerical Analysis 49 (5) 1511 (2015)
https://doi.org/10.1051/m2an/2015016