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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, 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.
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, no 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 Γ-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, no 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, no 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, no 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, no 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, no 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, no 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, no 1. [ DOI : 10.1088/1742-6596/657/1/012013 ]

    https://hal.archives-ouvertes.fr/hal-01271269

Other Publications

References in notes
  • 44I. Abraham, R. Abraham, M. Bergounioux, G. Carlier.

    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, no 2, pp. 197–217.

    http://dx.doi.org/10.3934/nhm.2012.7.197
  • 46M. 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
  • 47F. 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.
  • 48F. 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
  • 49F. 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
  • 50M. Bates.

    Models of natural language understanding, in: Proceedings of the National Academy of Sciences, 1995, vol. 92, no 22, pp. 9977-9982.
  • 51H. 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.
  • 52M. F. Beg, M. I. Miller, A. Trouve, 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
  • 53M. 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
  • 54G. Bellettini, V. Caselles, M. Novaga.

    The Total Variation Flow in RN, in: J. Differential Equations, 2002, vol. 184, no 2, pp. 475–525.
  • 55J.-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
  • 56J.-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
  • 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.

    http://hal.inria.fr/hal-00922349
  • 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.

    https://hal.archives-ouvertes.fr/hal-01056452
  • 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, no 4, pp. 737–758.

    http://dx.doi.org/10.1051/m2an/2010017
  • 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, no 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 Rd,d≥3, in: Comm. Partial Differential Equations, 2013, vol. 38, no 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 Γ-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, no 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.

    http://hal.archives-ouvertes.fr/hal-00842603/
  • 73G. 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
  • 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, no 6, pp. 652–671.

    http://dx.doi.org/10.1016/j.matpur.2010.03.010
  • 75K. Bredies, H. Pikkarainen.

    Inverse problems in spaces of measures, in: ESAIM: Control, Optimisation and Calculus of Variations, 2013, vol. 19, no 1, pp. 190–218.
  • 76L. 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.
  • 77Y. 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
  • 78Y. 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.
  • 79Y. 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
  • 80Y. 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
  • 81M. 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
  • 82M. Burger, M. DiFrancesco, P. Markowich, M. T. Wolfram.

    Mean field games with nonlinear mobilities in pedestrian dynamics, in: DCDS B, 2014, vol. 19.
  • 83M. 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.
  • 84M. Burger, S. Osher.

    A guide to the TV zoo, in: Level-Set and PDE-based Reconstruction Methods, Springer, 2013.
  • 85G. Buttazzo, C. Jimenez, E. 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
  • 86H. 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.
  • 87L. 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
  • 88L. 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
  • 89C. CanCeritoglu.

    Computational Analysis of LDDMM for Brain Mapping, in: Frontiers in Neuroscience, 2013, vol. 7.
  • 90E. Candes, M. Wakin.

    An Introduction to Compressive Sensing, in: IEEE Signal Processing Magazine, 2008, vol. 25, no 2, pp. 21–30.
  • 91E. 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.
  • 92E. 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.
  • 93P. 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
  • 94G. 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
  • 95G. Carlier, V. Chernozhukov, A. Galichon.

    Vector Quantile Regression, Arxiv 1406.4643, 2014.
  • 96G. 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/
  • 97G. Carlier, X. Dupuis.

    An iterated projection approach to variational problems under generalized convexity constraints and applications, In preparation, 2015.
  • 98G. 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
  • 99G. 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
  • 100G. 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
  • 101G. Carlier, A. Oberman, E. Oudet.

    Numerical methods for matching for teams and Wasserstein barycenters, in: M2AN, 2015, to appear.
  • 102G. 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
  • 103J. 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
  • 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, no 3, pp. 879–894.
  • 105F. 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
  • 106A. Chambolle, T. Pock.

    On the ergodic convergence rates of a first-order primal-dual algorithm, in: Preprint OO/2014/09/4532, 2014.
  • 107G. 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/
  • 108S. 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.
  • 109P. 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
  • 110C. 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.

    http://dx.doi.org/10.1002/cpa.21437
  • 111M. J. P. Cullen, W. Gangbo, G. Pisante.

    The semigeostrophic equations discretized in reference and dual variables, in: Arch. Ration. Mech. Anal., 2007, vol. 185, no 2, pp. 341–363.

    http://dx.doi.org/10.1007/s00205-006-0040-6
  • 112M. J. P. Cullen, J. Norbury, R. J. Purser.

    Generalised Lagrangian solutions for atmospheric and oceanic flows, in: SIAM J. Appl. Math., 1991, vol. 51, no 1, pp. 20–31.

    http://dx.doi.org/10.1137/0151002
  • 113M. Cuturi, D. Avis.

    Ground Metric Learning, in: J. Mach. Learn. Res., January 2014, vol. 15, no 1, pp. 533–564.

    http://dl.acm.org/citation.cfm?id=2627435.2627452
  • 114M. Cuturi.

    Sinkhorn Distances: Lightspeed Computation of Optimal Transport, in: Proc. NIPS, C. J. C. Burges, L. Bottou, Z. Ghahramani, K. Q. Weinberger (editors), 2013, pp. 2292–2300.
  • 115E. J. Dean, R. Glowinski.

    Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type, in: Comput. Methods Appl. Mech. Engrg., 2006, vol. 195, no 13-16, pp. 1344–1386.
  • 116V. 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
  • 117V. Duval, G. Peyré.

    Sparse Spikes Deconvolution on Thin Grids, HAL, 2015, no 01135200.

    http://hal.archives-ouvertes.fr/hal-01135200
  • 118J. Fehrenbach, J.-M. Mirebeau.

    Sparse Non-negative Stencils for Anisotropic Diffusion, in: Journal of Mathematical Imaging and Vision, 2014, vol. 49, no 1, pp. 123-147.

    http://dx.doi.org/10.1007/s10851-013-0446-3
  • 119C. Fernandez-Granda.

    Support detection in super-resolution, in: Proc. Proceedings of the 10th International Conference on Sampling Theory and Applications, 2013, pp. 145–148.
  • 120A. Figalli, R. Mc Cann, Y. Kim.

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