Team, Visitors, External Collaborators
Overall Objectives
Research Program
New Software and Platforms
New Results
Partnerships and Cooperations
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Publications of the year

Doctoral Dissertations and Habilitation Theses

A. Genevay.
Entropy-Regularized Optimal Transport for Machine Learning, PSL University, March 2019.

Articles in International Peer-Reviewed Journals

J.-D. Benamou, G. Carlier, M. Laborde.
An augmented Lagrangian approach to Wasserstein gradient flows and applications, in: ESAIM: Proceedings and Surveys, August 2019.
J.-D. Benamou, V. Duval.
Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem, in: European Journal of Applied Mathematics, 2019,, forthcoming. [ DOI : 10.1017/S0956792518000451 ]
J.-D. Benamou, T. Gallouët, F.-X. Vialard.
Second order models for optimal transport and cubic splines on the Wasserstein space, in: Foundations of Computational Mathematics, October 2019,
C. Boyer, A. Chambolle, Y. De Castro, V. Duval, F. De Gournay, P. Weiss.
On Representer Theorems and Convex Regularization, in: SIAM Journal on Optimization, May 2019, vol. 29, no 2, pp. 1260–1281, [ DOI : 10.1137/18M1200750 ]
C. Cancès, T. Gallouët, M. Laborde, L. Monsaingeon.
Simulation of multiphase porous media flows with minimizing movement and finite volume schemes, in: European Journal of Applied Mathematics, 2019, vol. 30, no 6, pp. 1123-1152. [ DOI : 10.1017/S0956792518000633 ]
S. Dallaporta, Y. De Castro.
Sparse Recovery from Extreme Eigenvalues Deviation Inequalities, in: ESAIM: Probability and Statistics, 2019, - 33 pages, 1 figure. [ DOI : 10.1051/ps/2018024 ]
Y. De Castro, F. Gamboa, D. Henrion, R. Hess, J. B. Lasserre.
Approximate Optimal Designs for Multivariate Polynomial Regression, in: Annals of Statistics, January 2019, vol. 47, no 1, pp. 127-155. [ DOI : 10.1214/18-AOS1683 ]
Q. Denoyelle, V. Duval, G. Peyré, E. Soubies.
The Sliding Frank-Wolfe Algorithm and its Application to Super-Resolution Microscopy, in: Inverse Problems, 2019,, forthcoming. [ DOI : 10.1088/1361-6420/ab2a29 ]
T. Gallouët, M. Laborde, L. Monsaingeon.
An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems, in: ESAIM: Control, Optimisation and Calculus of Variations, 2019, vol. 25, no 8, [ DOI : 10.1051/cocv/2018001 ]
T. Gallouët, A. Natale, F.-X. Vialard.
Generalized compressible flows and solutions of the H(div) geodesic problem, in: Archive for Rational Mechanics and Analysis, 2020,, forthcoming.
R. E. Gaunt, G. Mijoule, Y. Swan.
Some new Stein operators for product distributions, in: Brazilian Journal of Probability and Statistics, 2019, - 13 pages, forthcoming.
A. Natale, F.-X. Vialard.
Embedding Camassa-Holm equations in incompressible Euler, in: Journal of Geometric Mechanics, June 2019,
P. Pegon, F. Santambrogio, Q. Xia.
A fractal shape optimization problem in branched transport, in: Journal de Mathématiques Pures et Appliquées, March 2019,

International Conferences with Proceedings

J.-B. Courbot, E. Monfrini, V. Mazet, C. Collet.
Triplet markov trees for image segmentation, in: SSP 2018: IEEE Workshop on Statistical Signal Processing, Fribourg-en-Brisgau, Germany, 2018 IEEE Statistical Signal Processing Workshop (SSP), IEEE Computer Society, 2019, pp. 233-237. [ DOI : 10.1109/SSP.2018.8450841 ]

Conferences without Proceedings

J. M. Fadili, G. Garrigos, J. Malick, G. Peyré.
Model Consistency for Learning with Mirror-Stratifiable Regularizers, in: International Conference on Artificial Intelligence and Statistics (AISTATS), Naha, Japan, April 2019.

Other Publications

J.-M. Azaïs, Y. De Castro.
Multiple Testing and Variable Selection along Least Angle Regression's path, July 2019, - 39 pages, 7 figures.
J.-D. Benamou, G. Carlier, S. D. Marino, L. Nenna.
An entropy minimization approach to second-order variational mean-field games, September 2019, working paper or preprint.
C. Cancès, T. Gallouët, G. Todeschi.
A variational finite volume scheme for Wasserstein gradient flows, July 2019, working paper or preprint.
J.-B. Courbot, V. Duval, B. Legras.
Sparse analysis for mesoscale convective systems tracking, February 2019, working paper or preprint.
S. Di Marino, A. Natale, R. Tahraoui, F.-X. Vialard.
Metric completion of Diff([0,1]) with the H1 right-invariant metric, June 2019, - working paper or preprint.
V. Duval.
An Epigraphical Approach to the Representer Theorem, December 2019, - working paper or preprint.
G. Mijoule, G. Reinert, Y. Swan.
Stein operators, kernels and discrepancies for multivariate continuous distributions, December 2019, working paper or preprint.
A. Natale, G. Todeschi.
TPFA Finite Volume Approximation of Wasserstein Gradient Flows, January 2020, - working paper or preprint.
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Handling Convexity-Like Constraints in Variational Problems, in: SIAM J. Numer. Anal., 2014, vol. 52, no 5, pp. 2466–2487.
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Optimal Transport with Proximal Splitting, in: SIAM Journal on Imaging Sciences, 2014, vol. 7, no 1, pp. 212–238. [ DOI : 10.1137/130920058 ]
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Optimal transport: From moving soil to same-sex marriage, in: CMS Notes, 2013, vol. 45, pp. 14–15.
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Texture Synthesis with Grouplets, in: Pattern Analysis and Machine Intelligence, IEEE Transactions on, April 2010, vol. 32, no 4, pp. 733–746.
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Structure dependent sampling in compressed sensing: theoretical guarantees for tight frames, in: Applied and Computational Harmonic Analysis, 2015.
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