Bibliography
Major publications by the team in recent years
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1M. Agueh, G. Carlier.
Barycenters in the Wasserstein space, in: SIAM J. Math. Anal., 2011, vol. 43, no 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, no 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, no 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, no 5, pp. 1583–1592.
Articles in International Peer-Reviewed Journals
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10N. Bonneel, G. Peyré, M. Cuturi.
Wasserstein Barycentric Coordinates: Histogram Regression Using Optimal Transport, in: ACM Transactions on Graphics, April 2016, vol. 35, no 4. [ DOI : 10.1145/2897824.2925918 ]
https://hal.archives-ouvertes.fr/hal-01303148 -
11G. Carlier, G. Peyré, J.-M. Mirebeau, V. Duval.
A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates, in: ESAIM: Mathematical Modelling and Numerical Analysis, June 2016, vol. 50, no 1, pp. 215–235.
https://hal.inria.fr/hal-01112226 -
12A. Chambolle, V. Duval, G. Peyré, C. Poon.
Geometric properties of solutions to the total variation denoising problem, in: Inverse Problems, October 2016.
https://hal.archives-ouvertes.fr/hal-01323720 -
13Q. Denoyelle, V. Duval, G. Peyré.
Support Recovery for Sparse Super-Resolution of Positive Measures, in: Journal of Fourier Analysis and Applications, September 2016. [ DOI : 10.1007/s00041-016-9502-x ]
https://hal.archives-ouvertes.fr/hal-01270184 -
14P. Machado Manhães De Castro, Q. Mérigot, B. Thibert.
Far-field reflector problem and intersection of paraboloids, in: Numerische Mathematik, October 2016, vol. 134, no 2, pp. 389–411. [ DOI : 10.1007/s00211-015-0780-z ]
https://hal.archives-ouvertes.fr/hal-00952720 -
15Q. Mérigot, J.-M. Mirebeau.
Minimal geodesics along volume preserving maps, through semi-discrete optimal transport, in: SIAM Journal on Numerical Analysis, November 2016, vol. 54, no 6, pp. 3465–3492. [ DOI : 10.1137/15M1017235 ]
https://hal.archives-ouvertes.fr/hal-01152168 -
16H. 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 -
17B. Schmitzer.
A Sparse Multiscale Algorithm for Dense Optimal Transport, in: Journal of Mathematical Imaging and Vision, April 2016. [ DOI : 10.1007/s10851-016-0653-9 ]
https://hal.archives-ouvertes.fr/hal-01385274 -
18J. Solomon, G. Peyré, V. G. Kim, S. Sra.
Entropic Metric Alignment for Correspondence Problems, in: ACM Transactions on Graphics, June 2016, vol. 35, no 4, pp. 72:1–72:13. [ DOI : 10.1145/2897824.2925903 ]
https://hal.archives-ouvertes.fr/hal-01305808 -
19G. Tartavel, G. Peyré, Y. Gousseau.
Wasserstein Loss for Image Synthesis and Restoration, in: SIAM Journal on Imaging Sciences, October 2016, vol. 9, no 4, pp. 1726-1755.
https://hal.archives-ouvertes.fr/hal-01292843
International Conferences with Proceedings
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20A. Genevay, M. Cuturi, G. Peyré, F. Bach.
Stochastic Optimization for Large-scale Optimal Transport, in: NIPS 2016 - Thirtieth Annual Conference on Neural Information Processing System, Barcelona, Spain, NIPS (editor), Proc. NIPS 2016, December 2016.
https://hal.archives-ouvertes.fr/hal-01321664 -
21G. Peyré, M. Cuturi, J. Solomon.
Gromov-Wasserstein Averaging of Kernel and Distance Matrices, in: ICML 2016, New-York, United States, Proc. 33rd International Conference on Machine Learning, June 2016.
https://hal.archives-ouvertes.fr/hal-01322992
Books or Proceedings Editing
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22M. Bergounioux, J.-B. Caillau, T. Haberkorn, G. Peyré, C. Schnörr (editors)
Variational methods in imaging and geometric control, Radon Series on Comput. and Applied Math., de Gruyter, December 2016, no 18.
https://hal.archives-ouvertes.fr/hal-01315508
Other Publications
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23M. Agueh, G. Carlier.
Vers un théorème de la limite centrale dans l'espace de Wasserstein ?, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01422107 -
24R. Andreev.
Algorithm based fault tolerance with wavelets, September 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01359755 -
25R. Andreev.
Jumplets, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01338101 -
26R. Andreev.
Learning stochastic eigenvalues, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01313404 -
27R. Andreev.
Preconditioning the augmented Lagrangian method for instationary mean field games with diffusion, April 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01301282 -
28R. Andreev.
Quasi-optimality of approximate solutions in normed vector spaces, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01338040 -
29R. Andreev, K. Kirchner.
Numerical methods for the 2nd moment of stochastic ODEs, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01394195 -
30J.-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 -
31J.-D. Benamou, G. Carlier, F. Santambrogio.
Variational Mean Field Games, March 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01295299 -
32A. Blanchet, G. Carlier, L. Nenna.
Computation of Cournot-Nash equilibria by entropic regularization, September 2016, working paper or preprint.
https://hal.inria.fr/hal-01363468 -
33M. Bruveris, F.-X. Vialard.
On Completeness of Groups of Diffeomorphisms, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01253261 -
34G. Carlier, A. Galichon, V. Chernozhukov.
Vector quantile regression beyond correct specification, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01420712 -
35G. Carlier, M. Laborde.
A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01332356 -
36G. Carlier, L. Mallozzi.
Optimal monopoly pricing with congestion and random utility via partial mass transport, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01420707 -
37L. Chizat, G. Peyré, B. Schmitzer, F.-X. Vialard.
Scaling Algorithms for Unbalanced Transport Problems, January 2017, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01434914 -
38C. Dossal, V. Duval, C. Poon.
Sampling the Fourier transform along radial lines, December 2016, working paper or preprint.
https://hal.inria.fr/hal-01421265 -
39V. Duval, G. Peyré.
Sparse Spikes Super-resolution on Thin Grids I: the LASSO, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01135200 -
40V. Duval, G. Peyré.
Sparse Spikes Super-resolution on Thin Grids II: the Continuous Basis Pursuit, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01389956 -
41T. O. Gallouët, Q. Mérigot.
A Lagrangian scheme for the incompressible Euler equation using optimal transport, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01425826 -
42T. Gallouët, F.-X. Vialard.
From unbalanced optimal transport to the Camassa-Holm equation, December 2016, Comments welcome, 28 pages.
https://hal.archives-ouvertes.fr/hal-01363647 -
43J. Kitagawa, Q. Mérigot, B. Thibert.
Convergence of a Newton algorithm for semi-discrete optimal transport, March 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01290496 -
44J. Louet, A. Pratelli, F. Zeisler.
On the continuity of the total cost in the mass transport problem with relativistic cost functions, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01419526 -
45G. Peyré.
Claude Shannon et la compression des données, July 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01343890 -
46G. Peyré.
Parcimonie, problèmes inverses et échantillonnage compressé, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01331580 -
47B. Schmitzer.
Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01385251 -
48R. Tahraoui, F.-X. Vialard.
Riemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric, September 2016, 34 pages, comments welcome.
https://hal.archives-ouvertes.fr/hal-01331110
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49I. Abraham, R. Abraham, M. Bergounioux, G. Carlier.
Tomographic reconstruction from a few views: a multi-marginal optimal transport approach, in: Preprint Hal-01065981, 2014. -
50Y. Achdou, V. Perez.
Iterative strategies for solving linearized discrete mean field games systems, in: Netw. Heterog. Media, 2012, vol. 7, no 2, pp. 197–217.
http://dx.doi.org/10.3934/nhm.2012.7.197 -
51M. Agueh, G. Carlier.
Barycenters in the Wasserstein space, in: SIAM J. Math. Anal., 2011, vol. 43, no 2, pp. 904–924.
http://dx.doi.org/10.1137/100805741 -
52F. Alter, V. Caselles, A. Chambolle.
Evolution of Convex Sets in the Plane by Minimizing the Total Variation Flow, in: Interfaces and Free Boundaries, 2005, vol. 332, pp. 329–366. -
53F. R. Bach.
Consistency of the Group Lasso and Multiple Kernel Learning, in: J. Mach. Learn. Res., June 2008, vol. 9, pp. 1179–1225.
http://dl.acm.org/citation.cfm?id=1390681.1390721 -
54F. R. Bach.
Consistency of Trace Norm Minimization, in: J. Mach. Learn. Res., June 2008, vol. 9, pp. 1019–1048.
http://dl.acm.org/citation.cfm?id=1390681.1390716 -
55M. Bates.
Models of natural language understanding, in: Proceedings of the National Academy of Sciences, 1995, vol. 92, no 22, pp. 9977-9982. -
56H. H. Bauschke, P. L. Combettes.
A Dykstra-like algorithm for two monotone operators, in: Pacific Journal of Optimization, 2008, vol. 4, no 3, pp. 383–391. -
57M. F. Beg, M. I. Miller, A. Trouvé, L. Younes.
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms, in: International Journal of Computer Vision, February 2005, vol. 61, no 2, pp. 139–157.
http://dx.doi.org/10.1023/B:VISI.0000043755.93987.aa -
58M. Beiglbock, P. Henry-Labordèrre, F. Penkner.
Model-independent bounds for option prices mass transport approach, in: Finance and Stochastics, 2013, vol. 17, no 3, pp. 477-501.
http://dx.doi.org/10.1007/s00780-013-0205-8 -
59G. Bellettini, V. Caselles, M. Novaga.
The Total Variation Flow in , in: J. Differential Equations, 2002, vol. 184, no 2, pp. 475–525. -
60J.-D. Benamou, Y. Brenier.
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, in: Numer. Math., 2000, vol. 84, no 3, pp. 375–393.
http://dx.doi.org/10.1007/s002110050002 -
61J.-D. Benamou, Y. Brenier.
Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère/transport problem, in: SIAM J. Appl. Math., 1998, vol. 58, no 5, pp. 1450–1461.
http://dx.doi.org/10.1137/S0036139995294111 -
62J.-D. Benamou, G. Carlier.
Augmented Lagrangian algorithms for variational problems with divergence constraints, in: JOTA, 2015. -
63J.-D. Benamou, G. Carlier, N. Bonne.
An Augmented Lagrangian Numerical approach to solving Mean-Fields Games, Inria, December 2013, 30 p.
http://hal.inria.fr/hal-00922349 -
64J.-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. -
65J.-D. Benamou, G. Carlier, Q. Mérigot, E. Oudet.
Discretization of functionals involving the Monge-Ampère operator, HAL, July 2014.
https://hal.archives-ouvertes.fr/hal-01056452 -
66J.-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. -
67J.-D. Benamou, B. D. Froese, A. Oberman.
Two numerical methods for the elliptic Monge-Ampère equation, in: M2AN Math. Model. Numer. Anal., 2010, vol. 44, no 4, pp. 737–758.
http://dx.doi.org/10.1051/m2an/2010017 -
68J.-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. -
69F. Benmansour, G. Carlier, G. Peyré, F. Santambrogio.
Numerical approximation of continuous traffic congestion equilibria, in: Netw. Heterog. Media, 2009, vol. 4, no 3, pp. 605–623.
http://dx.doi.org/10.3934/nhm.2009.4.605 -
70M. Benning, M. Burger.
Ground states and singular vectors of convex variational regularization methods, in: Meth. Appl. Analysis, 2013, vol. 20, pp. 295–334. -
71B. Berkels, A. Effland, M. Rumpf.
Time discrete geodesic paths in the space of images, in: Arxiv preprint, 2014. -
72J. Bigot, T. Klein.
Consistent estimation of a population barycenter in the Wasserstein space, in: Preprint arXiv:1212.2562, 2012. -
73A. Blanchet, G. Carlier.
Optimal Transport and Cournot-Nash Equilibria, in: Mathematics of Operations Resarch, 2015, to appear. -
74A. Blanchet, P. Laurençot.
The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in , in: Comm. Partial Differential Equations, 2013, vol. 38, no 4, pp. 658–686.
http://dx.doi.org/10.1080/03605302.2012.757705 -
75J. Bleyer, G. Carlier, V. Duval, J.-M. Mirebeau, G. Peyré.
A -Convergence Result for the Upper Bound Limit Analysis of Plates, in: arXiv preprint arXiv:1410.0326, 2014. -
76N. Bonneel, J. Rabin, G. Peyré, H. Pfister.
Sliced and Radon Wasserstein Barycenters of Measures, in: Journal of Mathematical Imaging and Vision, 2015, vol. 51, no 1, pp. 22–45.
http://hal.archives-ouvertes.fr/hal-00881872/ -
77U. Boscain, R. Chertovskih, J.-P. Gauthier, D. Prandi, A. Remizov.
Highly corrupted image inpainting through hypoelliptic diffusion, Preprint CMAP, 2014.
http://hal.archives-ouvertes.fr/hal-00842603/ -
78G. Bouchitté, G. Buttazzo.
Characterization of optimal shapes and masses through Monge-Kantorovich equation, in: J. Eur. Math. Soc. (JEMS), 2001, vol. 3, no 2, pp. 139–168.
http://dx.doi.org/10.1007/s100970000027 -
79L. Brasco, G. Carlier, F. Santambrogio.
Congested traffic dynamics, weak flows and very degenerate elliptic equations, in: J. Math. Pures Appl. (9), 2010, vol. 93, no 6, pp. 652–671.
http://dx.doi.org/10.1016/j.matpur.2010.03.010 -
80L. M. Bregman.
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming, in: USSR computational mathematics and mathematical physics, 1967, vol. 7, no 3, pp. 200–217. -
81Y. Brenier.
Generalized solutions and hydrostatic approximation of the Euler equations, in: Phys. D, 2008, vol. 237, no 14-17, pp. 1982–1988.
http://dx.doi.org/10.1016/j.physd.2008.02.026 -
82Y. Brenier.
Décomposition polaire et réarrangement monotone des champs de vecteurs, in: C. R. Acad. Sci. Paris Sér. I Math., 1987, vol. 305, no 19, pp. 805–808. -
83Y. Brenier.
Polar factorization and monotone rearrangement of vector-valued functions, in: Comm. Pure Appl. Math., 1991, vol. 44, no 4, pp. 375–417.
http://dx.doi.org/10.1002/cpa.3160440402 -
84Y. Brenier, U. Frisch, M. Henon, G. Loeper, S. Matarrese, R. Mohayaee, A. Sobolevskii.
Reconstruction of the early universe as a convex optimization problem, in: Mon. Not. Roy. Astron. Soc., 2003, vol. 346, pp. 501–524.
http://arxiv.org/pdf/astro-ph/0304214.pdf -
85M. Bruveris, L. Risser, F.-X. Vialard.
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups, in: Multiscale Modeling & Simulation, 2012, vol. 10, no 4, pp. 1344-1368.
http://dx.doi.org/10.1137/110846324 -
86M. Burger, M. DiFrancesco, P. Markowich, M. T. Wolfram.
Mean field games with nonlinear mobilities in pedestrian dynamics, in: DCDS B, 2014, vol. 19. -
87M. Burger, M. Franek, C. Schonlieb.
Regularized regression and density estimation based on optimal transport, in: Appl. Math. Res. Expr., 2012, vol. 2, pp. 209–253. -
88M. Burger, S. Osher.
A guide to the TV zoo, in: Level-Set and PDE-based Reconstruction Methods, Springer, 2013. -
89G. Buttazzo, C. Jimenez, É. Oudet.
An optimization problem for mass transportation with congested dynamics, in: SIAM J. Control Optim., 2009, vol. 48, no 3, pp. 1961–1976.
http://dx.doi.org/10.1137/07070543X -
90H. Byrne, D. Drasdo.
Individual-based and continuum models of growing cell populations: a comparison, in: Journal of Mathematical Biology, 2009, vol. 58, no 4-5, pp. 657-687. -
91L. A. Caffarelli.
The regularity of mappings with a convex potential, in: J. Amer. Math. Soc., 1992, vol. 5, no 1, pp. 99–104.
http://dx.doi.org/10.2307/2152752 -
92L. Caffarelli, S. Kochengin, V. Oliker.
On the numerical solution of the problem of reflector design with given far-field scattering data, in: Monge Ampère equation: applications to geometry and optimization (Deerfield Beach, FL, 1997), Providence, RI, Contemp. Math., Amer. Math. Soc., 1999, vol. 226, pp. 13–32.
http://dx.doi.org/10.1090/conm/226/03233 -
93C. CanCeritoglu.
Computational Analysis of LDDMM for Brain Mapping, in: Frontiers in Neuroscience, 2013, vol. 7. -
94E. Candes, M. Wakin.
An Introduction to Compressive Sensing, in: IEEE Signal Processing Magazine, 2008, vol. 25, no 2, pp. 21–30. -
95E. J. Candès, C. Fernandez-Granda.
Super-Resolution from Noisy Data, in: Journal of Fourier Analysis and Applications, 2013, vol. 19, no 6, pp. 1229–1254. -
96E. J. Candès, C. Fernandez-Granda.
Towards a Mathematical Theory of Super-Resolution, in: Communications on Pure and Applied Mathematics, 2014, vol. 67, no 6, pp. 906–956. -
97P. Cardaliaguet, G. Carlier, B. Nazaret.
Geodesics for a class of distances in the space of probability measures, in: Calc. Var. Partial Differential Equations, 2013, vol. 48, no 3-4, pp. 395–420.
http://dx.doi.org/10.1007/s00526-012-0555-7 -
98G. Carlier.
A general existence result for the principal-agent problem with adverse selection, in: J. Math. Econom., 2001, vol. 35, no 1, pp. 129–150.
http://dx.doi.org/10.1016/S0304-4068(00)00057-4 -
99G. Carlier, V. Chernozhukov, A. Galichon.
Vector Quantile Regression, Arxiv 1406.4643, 2014. -
100G. Carlier, M. Comte, I. Ionescu, G. Peyré.
A Projection Approach to the Numerical Analysis of Limit Load Problems, in: Mathematical Models and Methods in Applied Sciences, 2011, vol. 21, no 6, pp. 1291–1316. [ DOI : doi:10.1142/S0218202511005325 ]
http://hal.archives-ouvertes.fr/hal-00450000/ -
101G. Carlier, X. Dupuis.
An iterated projection approach to variational problems under generalized convexity constraints and applications, In preparation, 2015. -
102G. Carlier, I. Ekeland.
Matching for teams, in: Econom. Theory, 2010, vol. 42, no 2, pp. 397–418.
http://dx.doi.org/10.1007/s00199-008-0415-z -
103G. Carlier, C. Jimenez, F. Santambrogio.
Optimal Transportation with Traffic Congestion and Wardrop Equilibria, in: SIAM Journal on Control and Optimization, 2008, vol. 47, no 3, pp. 1330-1350.
http://dx.doi.org/10.1137/060672832 -
104G. Carlier, T. Lachand-Robert, B. Maury.
A numerical approach to variational problems subject to convexity constraint, in: Numer. Math., 2001, vol. 88, no 2, pp. 299–318.
http://dx.doi.org/10.1007/PL00005446 -
105G. Carlier, A. Oberman, É. Oudet.
Numerical methods for matching for teams and Wasserstein barycenters, in: M2AN, 2015, to appear. -
106G. Carlier, F. Santambrogio.
A continuous theory of traffic congestion and Wardrop equilibria, in: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 2011, vol. 390, no Teoriya Predstavlenii, Dinamicheskie Sistemy, Kombinatornye Metody. XX, pp. 69–91, 307–308.
http://dx.doi.org/10.1007/s10958-012-0715-5 -
107J. A. Carrillo, S. Lisini, E. Mainini.
Uniqueness for Keller-Segel-type chemotaxis models, in: Discrete Contin. Dyn. Syst., 2014, vol. 34, no 4, pp. 1319–1338.
http://dx.doi.org/10.3934/dcds.2014.34.1319 -
108V. 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, no 3, pp. 879–894. -
109F. A. C. C. Chalub, P. A. Markowich, B. Perthame, C. Schmeiser.
Kinetic models for chemotaxis and their drift-diffusion limits, in: Monatsh. Math., 2004, vol. 142, no 1-2, pp. 123–141.
http://dx.doi.org/10.1007/s00605-004-0234-7 -
110A. Chambolle, T. Pock.
On the ergodic convergence rates of a first-order primal-dual algorithm, in: Preprint OO/2014/09/4532, 2014. -
111G. Charpiat, G. Nardi, G. Peyré, F.-X. Vialard.
Finsler Steepest Descent with Applications to Piecewise-regular Curve Evolution, Preprint hal-00849885, 2013.
http://hal.archives-ouvertes.fr/hal-00849885/ -
112S. S. Chen, D. L. Donoho, M. A. Saunders.
Atomic decomposition by basis pursuit, in: SIAM journal on scientific computing, 1999, vol. 20, no 1, pp. 33–61. -
113P. Choné, H. V. J. Le Meur.
Non-convergence result for conformal approximation of variational problems subject to a convexity constraint, in: Numer. Funct. Anal. Optim., 2001, vol. 22, no 5-6, pp. 529–547.
http://dx.doi.org/10.1081/NFA-100105306 -
114C. Cotar, G. Friesecke, C. Kluppelberg.
Density Functional Theory and Optimal Transportation with Coulomb Cost, in: Communications on Pure and Applied Mathematics, 2013, vol. 66, no 4, pp. 548–599.
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