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Contains all my matlab toolboxes. Note that these toolboxes are not anymore developped, and you should go online to www.numerical-tours.com for updated codes. Copyright (c) 2013 Gabriel Peyre
numerical-tours
Numerical Tours of Signal ProcessingSinkhornAutoDiff
Toolbox to integrate optimal transport loss functions using automatic differentiation and Sinkhorn's algorithm2015-SIGGRAPH-convolutional-ot
J. Solomon, F. de Goes, G. Peyré, M. Cuturi, A. Butscher, A. Nguyen, T. Du, L. Guibas. Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric Domains. ACM Transactions on Graphics (Proc. SIGGRAPH 2015), 34(4), pp. 66:1–66:11, 20152016-ICML-gromov-wasserstein
Gabriel Peyré, Marco Cuturi, Justin Solomon, Gromov-Wasserstein Averaging of Kernel and Distance Matrices, Proc. of ICML 2016.2017-MCOM-unbalanced-ot
L. Chizat, G. Peyré, B. Schmitzer, F-X. Vialard. Scaling Algorithms for Unbalanced Transport Problems. Preprint Arxiv:1607.05816, 2016.2017-ot-beginners
Optimal Transport for Dummies - Code, slides and article2014-SISC-BregmanOT
J-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré. Iterative Bregman Projections for Regularized Transportation Problems. SIAM Journal on Scientific Computing, 37(2), pp. A1111–A1138, 2015.2014-JMIV-SlicedTransport
N. Bonneel, J. Rabin, G. Peyré, H. Pfister. Sliced and Radon Wasserstein Barycenters of Measures. Journal of Mathematical Imaging and Vision, 51(1), pp. 22–45, 2015.2017-SIMA-super-resolution
Source code for the paper "Multi-dimensional Sparse Super-resolution"2015-SIIMS-wasserstein-jko
Gabriel Peyré. Entropic Approximation of Wasserstein Gradient Flows. SIAM Journal on Imaging Sciences, 8(4), pp. 2323–2351, 2015gpeyre.github.io
My homepage2016-SIGGRAPH-gw
J. Solomon, G. Peyré, V. Kim, S. Sra. Entropic Metric Alignment for Correspondence Problems. ACM Transactions on Graphics (Proc. SIGGRAPH 2016), 35(4), pp. 72:1–72:13, 20162017-EJAM-quantum-ot
G. Peyré, L. Chizat, F-X. Vialard, J. Solomon, Quantum Optimal Transport for Tensor Field Processing, Arxiv, 20162021-NonCvxPro
2013-SIIMS-ot-splitting
N. Papadakis, G. Peyré, E. Oudet. Optimal Transport with Proximal Splitting. SIAM Journal on Imaging Sciences, 7(1), pp. 212–238, 2014.Orion3D
A 3D engine.2016-shannon-theory
G. Peyré, Claude Shannon et la compression des données, Images des Mathématiques, CNRS, 20162015-SIIMS-wasserstein-dual
M. Cuturi, G. Peyré. A Smoothed Dual Approach for Variational Wasserstein Problems. SIAM Journal on Imaging Sciences, 9(1), pp. 320–343, 2016.2013-SIIMS-gaussian-textures
G-S. Xia, S. Ferradans, G. Peyré, J-F. Aujol. Synthesizing and Mixing Stationary Gaussian Texture Models. SIAM Journal on Imaging Sciences, 7(1), pp. 476–508, 2014.2016-IP-tv-denoising
A. Chambolle, V. Duval, G. Peyré, C. Poon. Geometric properties of solutions to the total variation denoising problem. Preprint Arxiv:1602.00087, 2016.2010-gears
Matlab code to generate non-circular gears.2013-SIIMS-regularized-ot
S. Ferradans, N. Papadakis, G. Peyré, J-F. Aujol. Regularized Discrete Optimal Transport. SIAM Journal on Imaging Sciences, 7(3), pp. 1853–1882, 2014.2009-CVIU-manifold
G. Peyré. Manifold models for signals and images. Computer Vision and Image Understanding, 113(2), pp. 249–260, 2009.2015-JMIV-texture-synthesis
G. Tartavel, Y. Gousseau, G. Peyré. Variational Texture Synthesis with Sparsity and Spectrum Constraints. Journal of Mathematical Imaging and Vision, 52(1), pp. 124–144, 2015.2012-SIIMS-nl-ac
M. Jung, G. Peyré, L. D. Cohen. Nonlocal Active Contours. SIAM Journal on Imaging Sciences, 5(3), pp. 1022–1054, 2012.2015-AOS-AdaptiveWigner
K. Lounici, K. Meziani, G. Peyré. Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data. Preprint Arxiv:1506.06941, 2015.SuperResolvedLasso
Code for the paper "Super-resolved Lasso"InfiniteZoom
Code to generate an infinite zoom animation.2015-IP-lasso-cbp
V. Duval, G. Peyré. Sparse Spikes Deconvolution on Thin Grids. Preprint HAL:01135200, 20152013-FOCM-SparseSpikes
V. Duval, G. Peyré. Exact Support Recovery for Sparse Spikes Deconvolution. Foundations of Computational Mathematics, 15(5), pp. 1315–1355, 2015.2017-SIOPT-stratification
Vincent Duval, Jalal Fadili, Jérôme Malick, Gabriel Peyré, Sensitivity Analysis for Mirror-Stratified Convex Functions, Preprint arxiv, 2016.2013-IVC-formlets
J. Elder, T. Oleskiw, A. Yakubovich, G. Peyré. On Growth and Formlets: Sparse Multi-Scale Coding of Planar Shape. Image and Vision Computing, 31(1), pp. 1–13, 2013.2014-NeuroMeth-barrels
L. 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. Journal of Neuroscience Methods, 263(1), pp. 145–154, 2016.objectifagregation
Site web du livre "Objectif Agrégation"2013-SIIMS-gfb
H. Raguet, J. Fadili, G. Peyré. A Generalized Forward-Backward Splitting. SIAM Journal on Imaging Sciences, 6(3), pp. 1199–1226, 2013.2013-IFB-FinslerGradient
G. Nardi, G. Peyré, F-X. Vialard. Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics. SIAM Journal on Imaging Sciences, 9(1), pp. 238–274, 2016.2010-LAA-numerical-cs
C. Dossal, G. Peyré, J. Fadili. A Numerical Exploration of Compressed Sampling Recovery. Linear Algebra and Applications, 432(7), pp. 1663–1679, 2010.2011-SIIMS-tv-hilbert
P. Maurel, J-F. Aujol, G. Peyré. Locally Parallel Texture Modeling. SIAM Journal on Imaging Sciences, 4(1), pp. 413–447, 2011.louispeyre
Web site of painter Louis Peyre2011-ACHA-support-ident
C. Dossal, M.L. Chabanol, G. Peyré, J. Fadili. Sharp Support Recovery from Noisy Random Measurements by L1 minimization. Applied and Computational Harmonic Analysis, 33(1), pp. 24–43, 2012.2014-SIIMS-sugar
C. Deledalle, S. Vaiter, G. Peyré, J. Fadili. Stein Unbiased GrAdient estimator of the Risk (SUGAR) for multiple parameter selection. SIAM Journal on Imaging Sciences, 7(4), pp. 2448–2487, 2014.2012-IP-stats-quantic
P. Alquier, K. Meziani, G. Peyré. Adaptive estimation of the density matrix in quantum homodyne tomography with noisy data. Inverse Problems, 29(7), pp. 075017, 2013.2009-M3AN-cheeger
G. Carlier, M. Comte, G. Peyré. Approximation of Maximal Cheeger Sets by Projection. ESAIM: Mathematical Modelling and Numerical Analysis, 43(1), pp. 131–150, 2009.2010-Numerische-SubGrad
F. Benmansour, G. Carlier, G. Peyré, F. Santambrogio. Derivatives with Respect to Metrics and Applications: Subgradient Marching Algorithm. Numerische Mathematik, 116(3), pp. 357–381, 2010.Love Open Source and this site? Check out how you can help us