Bibliography

Major publications by the team in recent years

• 1M. Agueh, G. Carlier.
  Barycenters in the Wasserstein space, in: SIAM J. Math. Anal., 2011, vol. 43, n^o 2, pp. 904–924.
  http://dx.doi.org/10.1137/100805741
• 2J.-D. Benamou, Y. Brenier.
  A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, in: Numer. Math., 2000, vol. 84, n^o 3, pp. 375–393.
  http://dx.doi.org/10.1007/s002110050002
• 3J.-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré.
  Iterative Bregman Projections for Regularized Transportation Problems, in: SIAM Journal on Scientific Computing, 2015, vol. 37, n^o 2, pp. A1111-A1138. [ DOI : 10.1137/141000439 ]
  http://hal.archives-ouvertes.fr/hal-01096124
• 4J.-D. Benamou, F. Collino, J.-M. Mirebeau.
  Monotone and Consistent discretization of the Monge-Ampère operator, in: arXiv preprint arXiv:1409.6694, 2014, to appear in Math of Comp.
• 5M. Bruveris, F.-X. Vialard.
  On Completeness of Groups of Diffeomorphisms, in: ArXiv e-prints, March 2014.
• 6V. Duval, G. Peyré.
  Exact Support Recovery for Sparse Spikes Deconvolution, in: Foundations of Computational Mathematics, 2014, pp. 1-41.
  http://dx.doi.org/10.1007/s10208-014-9228-6
• 7F. Gay-Balmaz, D. D. Holm, D. M. Meier, T. S. Ratiu, F.-X. Vialard.
  Invariant Higher-Order Variational Problems, in: Communications in Mathematical Physics, January 2012, vol. 309, pp. 413-458.
  http://dx.doi.org/10.1007/s00220-011-1313-y
• 8P. Machado Manhães De Castro, Q. Mérigot, B. Thibert.
  Intersection of paraboloids and application to Minkowski-type problems, in: Numerische Mathematik, November 2015. [ DOI : 10.1007/s00211-015-0780-z ]
  https://hal.archives-ouvertes.fr/hal-00952720
• 9Q. Mérigot.
  A multiscale approach to optimal transport, in: Computer Graphics Forum, 2011, vol. 30, n^o 5, pp. 1583–1592.

Publications of the year

Articles in International Peer-Reviewed Journals

• 10J.-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré.
  Iterative Bregman Projections for Regularized Transportation Problems, in: SIAM Journal on Scientific Computing, 2015, vol. 2, n^o 37, pp. A1111-A1138. [ DOI : 10.1137/141000439 ]
  https://hal.archives-ouvertes.fr/hal-01096124
• 11J. Bleyer, G. Carlier, V. Duval, J.-M. Mirebeau, G. Peyré.
  A $\Gamma$-Convergence Result for the Upper Bound Limit Analysis of Plates, in: ESAIM: Mathematical Modelling and Numerical Analysis, May 2015. [ DOI : 10.1051/m2an/2015040 ]
  https://hal.inria.fr/hal-01069919
• 12N. Bonneel, J. Rabin, G. Peyré, H. Pfister.
  Sliced and Radon Wasserstein Barycenters of Measures, in: Journal of Mathematical Imaging and Vision, 2015, vol. 1, n^o 51, pp. 22-45. [ DOI : 10.1007/s10851-014-0506-3 ]
  https://hal.archives-ouvertes.fr/hal-00881872
• 13G. Carlier, Q. Mérigot, E. Oudet, J.-D. Benamou.
  Discretization of functionals involving the Monge-Ampère operator, in: Numerische mathematik, December 2015.
  https://hal.inria.fr/hal-01112210
• 14G. Charpiat, G. Nardi, G. Peyré, F.-X. Vialard.
  Piecewise rigid curve deformation via a Finsler steepest descent, in: Interfaces and Free Boundaries, December 2015.
  https://hal.archives-ouvertes.fr/hal-00849885
• 15M. Cuturi, G. Peyré.
  A Smoothed Dual Approach for Variational Wasserstein Problems, in: SIAM Journal on Imaging Sciences, December 2015.
  https://hal.archives-ouvertes.fr/hal-01188954
• 16V. Duval, G. Peyré.
  Exact Support Recovery for Sparse Spikes Deconvolution, in: Foundations of Computational Mathematics, 2015, vol. 15, n^o 5, pp. 1315-1355.
  https://hal.archives-ouvertes.fr/hal-00839635
• 17P. Machado Manhães De Castro, Q. Mérigot, B. Thibert.
  Far-field reflector problem and intersection of paraboloids, in: Numerische Mathematik, November 2015. [ DOI : 10.1007/s00211-015-0780-z ]
  https://hal.archives-ouvertes.fr/hal-00952720
• 18L. Perronnet, M. E. Vilarchao, G. Hucher, D. E. Shulz, G. Peyré, I. Ferezou.
  An automated workflow for the anatomo-functional mapping of the barrel cortex, in: Journal of Neuroscience Methods, September 2015, 11 p.
  https://hal.archives-ouvertes.fr/hal-01196436
• 19G. Peyré.
  Entropic Wasserstein Gradient Flows, in: SIAM Journal on Imaging Sciences, 2015, vol. 8, n^o 4, pp. 2323-2351.
  https://hal.archives-ouvertes.fr/hal-01121359
• 20H. R. Raguet, C. Monier, L. Foubert, I. Ferezou, Y. Fregnac, G. Peyré.
  Spatially Structured Sparse Morphological Component Separation for Voltage-Sensitive Dye Optical Imaging, in: Journal of Neuroscience Methods, 2016, vol. 257, pp. 76-96.
  https://hal.archives-ouvertes.fr/hal-01200646
• 21N. Singh, F.-X. Vialard, M. Niethammer.
  Splines for diffeomorphisms, in: Medical Image Analysis, October 2015, vol. 25, n^o 1, pp. 56 - 71. [ DOI : 10.1016/j.media.2015.04.012 ]
  https://hal.archives-ouvertes.fr/hal-01253230
• 22J. Solomon, F. De Goes, G. Peyré, M. Cuturi, A. Butscher, A. Nguyen, T. Du, L. Guibas.
  Convolutional wasserstein distances, in: ACM Transactions on Graphics, 2015, vol. 34, n^o 4, pp. 66:1-66:11. [ DOI : 10.1145/2766963 ]
  https://hal.archives-ouvertes.fr/hal-01188953
• 23G. Tartavel, Y. Gousseau, G. Peyré.
  Variational Texture Synthesis with Sparsity and Spectrum Constraints, in: Journal of Mathematical Imaging and Vision, 2015, vol. 52, n^o 1, pp. 124-144. [ DOI : 10.1007/s10851-014-0547-7 ]
  https://hal.archives-ouvertes.fr/hal-00881847

International Conferences with Proceedings

• 24V. Duval, G. Peyré.
  The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution, in: IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Cancun, Mexico, December 2015.
  https://hal.inria.fr/hal-01169371
• 25J. Vacher, A. I. Meso, L. U. Perrinet, G. Peyré.
  Biologically Inspired Dynamic Textures for Probing Motion Perception, in: Twenty-ninth Annual Conference on Neural Information Processing Systems (NIPS), Montreal, Canada, December 2015.
  https://hal.archives-ouvertes.fr/hal-01225867

Conferences without Proceedings

• 26Q. Denoyelle, V. Duval, G. Peyré.
  Asymptotic of Sparse Support Recovery for Positive Measures, in: 5th International Workshop on New Computational Methods for Inverse Problems (NCMIP2015), Cachan, France, 2015, vol. 657, n^o 1. [ DOI : 10.1088/1742-6596/657/1/012013 ]
  https://hal.archives-ouvertes.fr/hal-01271269

Other Publications

• 27J.-D. Benamou, G. Carlier, R. Hatchi.
  A numerical solution to Monge's problem with a Finsler distance as cost, January 2016, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01261094
• 28J.-D. Benamou, G. Carlier, M. Laborde.
  An augmented Lagrangian approach to Wasserstein gradient flows and applications, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01245184
• 29J.-D. Benamou, G. Carlier, L. Nenna.
  A Numerical Method to solve Optimal Transport Problems with Coulomb Cost, May 2015, working paper or preprint.
  https://hal.inria.fr/hal-01148954
• 30M. Bruveris, F.-X. Vialard.
  On Completeness of Groups of Diffeomorphisms, January 2016, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01253261
• 31G. Carlier, A. Blanchet.
  Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case, February 2015, working paper or preprint.
  https://hal.inria.fr/hal-01112228
• 32G. Carlier, G. Buttazzo, S. Guarino Lo Bianco.
  Optimal regions for congested transport, February 2015, working paper or preprint.
  https://hal.inria.fr/hal-01112233
• 33G. Carlier, X. Dupuis.
  An iterated projection approach to variational problems under generalized convexity constraints, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01242047
• 34G. Carlier, V. Duval, G. Peyré, B. Schmitzer.
  Convergence of Entropic Schemes for Optimal Transport and Gradient Flows, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01246086
• 35G. Carlier, E. Oudet, A. Oberman.
  Numerical methods for matching for teams and Wasserstein barycenters, February 2015, working paper or preprint.
  https://hal.inria.fr/hal-01112224
• 36G. Carlier, G. Peyré, M. Cuturi, L. Nenna, J.-D. Benamou.
  Iterative Bregman Projections for Regularized Transportation Problems, February 2015, working paper or preprint.
  https://hal.inria.fr/hal-01112217
• 37G. Carlier, G. Peyré, J.-M. Mirebeau, V. Duval.
  A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates, February 2015, working paper or preprint.
  https://hal.inria.fr/hal-01112226
• 38L. Chizat, G. Peyré, B. Schmitzer, F.-X. Vialard.
  An Interpolating Distance between Optimal Transport and Fisher-Rao, June 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01271984
• 39L. Chizat, G. Peyré, B. Schmitzer, F.-X. Vialard.
  Unbalanced Optimal Transport: Geometry and Kantorovich Formulation, August 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01271981
• 40Q. Denoyelle, V. Duval, G. Peyré.
  Support Recovery for Sparse Deconvolution of Positive Measures, June 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01270184
• 41S. Di Marino, A. Gerolin, L. Nenna.
  Optimal transportation theory with repulsive costs, December 2015, forthcoming in the special volume for RICAM.
  https://hal.inria.fr/hal-01163737
• 42V. Duval, G. Peyré.
  Sparse Spikes Deconvolution on Thin Grids, March 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01135200
• 43Q. Mérigot, J.-M. Mirebeau.
  Minimal geodesics along volume preserving maps, through semi-discrete optimal transport, May 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01152168

References in notes

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  Tomographic reconstruction from a few views: a multi-marginal optimal transport approach, in: Preprint Hal-01065981, 2014.
• 45Y. Achdou, V. Perez.
  Iterative strategies for solving linearized discrete mean field games systems, in: Netw. Heterog. Media, 2012, vol. 7, n^o 2, pp. 197–217.
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• 46M. Agueh, G. Carlier.
  Barycenters in the Wasserstein space, in: SIAM J. Math. Anal., 2011, vol. 43, n^o 2, pp. 904–924.
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• 47F. Alter, V. Caselles, A. Chambolle.
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• 55J.-D. Benamou, Y. Brenier.
  A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, in: Numer. Math., 2000, vol. 84, n^o 3, pp. 375–393.
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• 56J.-D. Benamou, Y. Brenier.
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• 57J.-D. Benamou, G. Carlier.
  Augmented Lagrangian algorithms for variational problems with divergence constraints, in: JOTA, 2015.
• 58J.-D. Benamou, G. Carlier, N. Bonne.
  An Augmented Lagrangian Numerical approach to solving Mean-Fields Games, Inria, December 2013, 30 p.
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• 59J.-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré.
  Iterative Bregman Projections for Regularized Transportation Problems, in: SIAM J. Sci. Comp., 2015, to appear.
• 60J.-D. Benamou, G. Carlier, Q. Mérigot, E. Oudet.
  Discretization of functionals involving the Monge-Ampère operator, HAL, July 2014.
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• 61J.-D. Benamou, F. Collino, J.-M. Mirebeau.
  Monotone and Consistent discretization of the Monge-Ampère operator, in: arXiv preprint arXiv:1409.6694, 2014, to appear in Math of Comp.
• 62J.-D. Benamou, B. D. Froese, A. M. Oberman.
  Two numerical methods for the elliptic Monge-Ampère equation, in: M2AN Math. Model. Numer. Anal., 2010, vol. 44, n^o 4, pp. 737–758.
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• 63J.-D. Benamou, B. D. Froese, A. Oberman.
  Numerical solution of the optimal transportation problem using the Monge–Ampere equation, in: Journal of Computational Physics, 2014, vol. 260, pp. 107–126.
• 64F. Benmansour, C. Guillaume, P. Gabriel, F. Santambrogio.
  Numerical approximation of continuous traffic congestion equilibria, in: Netw. Heterog. Media, 2009, vol. 4, n^o 3, pp. 605–623.
  http://dx.doi.org/10.3934/nhm.2009.4.605
• 65M. Benning, M. Burger.
  Ground states and singular vectors of convex variational regularization methods, in: Meth. Appl. Analysis, 2013, vol. 20, pp. 295–334.
• 66B. Berkels, A. Effland, M. Rumpf.
  Time discrete geodesic paths in the space of images, in: Arxiv preprint, 2014.
• 67J. Bigot, T. Klein.
  Consistent estimation of a population barycenter in the Wasserstein space, in: Preprint arXiv:1212.2562, 2012.
• 68A. Blanchet, G. Carlier.
  Optimal Transport and Cournot-Nash Equilibria, in: Mathematics of Operations Resarch, 2015, to appear.
• 69A. Blanchet, P. Laurençot.
  The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $R^d,d\ge 3$, in: Comm. Partial Differential Equations, 2013, vol. 38, n^o 4, pp. 658–686.
  http://dx.doi.org/10.1080/03605302.2012.757705
• 70J. Bleyer, G. Carlier, V. Duval, J.-M. Mirebeau, G. Peyré.
  A $\Gamma$-Convergence Result for the Upper Bound Limit Analysis of Plates, in: arXiv preprint arXiv:1410.0326, 2014.
• 71N. Bonneel, J. Rabin, G. Peyré, H. Pfister.
  Sliced and Radon Wasserstein Barycenters of Measures, in: Journal of Mathematical Imaging and Vision, 2015, vol. 51, n^o 1, pp. 22–45.
  http://hal.archives-ouvertes.fr/hal-00881872/
• 72U. Boscain, R. Chertovskih, J.-P. Gauthier, D. Prandi, A. Remizov.
  Highly corrupted image inpainting through hypoelliptic diffusion, Preprint CMAP, 2014.
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• 73G. Bouchitté, G. Buttazzo.
  Characterization of optimal shapes and masses through Monge-Kantorovich equation, in: J. Eur. Math. Soc. (JEMS), 2001, vol. 3, n^o 2, pp. 139–168.
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• 74L. Brasco, G. Carlier, F. Santambrogio.
  Congested traffic dynamics, weak flows and very degenerate elliptic equations, in: J. Math. Pures Appl. (9), 2010, vol. 93, n^o 6, pp. 652–671.
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• 75K. Bredies, H. Pikkarainen.
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• 77Y. Brenier.
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• 79Y. Brenier.
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• 80Y. Brenier, U. Frisch, M. Henon, G. Loeper, S. Matarrese, R. Mohayaee, A. Sobolevskii.
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• 81M. Bruveris, L. Risser, F.-X. Vialard.
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• 82M. Burger, M. DiFrancesco, P. Markowich, M. T. Wolfram.
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• 97G. Carlier, X. Dupuis.
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• 98G. Carlier, I. Ekeland.
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• 101G. Carlier, A. Oberman, E. Oudet.
  Numerical methods for matching for teams and Wasserstein barycenters, in: M2AN, 2015, to appear.
• 102G. Carlier, F. Santambrogio.
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• 103J. A. Carrillo, S. Lisini, E. Mainini.
  Uniqueness for Keller-Segel-type chemotaxis models, in: Discrete Contin. Dyn. Syst., 2014, vol. 34, n^o 4, pp. 1319–1338.
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• 104V. Caselles, A. Chambolle, M. Novaga.
  The discontinuity set of solutions of the TV denoising problem and some extensions, in: Multiscale Modeling and Simulation, 2007, vol. 6, n^o 3, pp. 879–894.
• 105F. A. C. C. Chalub, P. A. Markowich, B. Perthame, C. Schmeiser.
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