Gabriel Peyré

numerical-tours. Numerical Tours of Signal Processing

SinkhornAutoDiff. Toolbox to integrate optimal transport loss functions using automatic differentiation and Sinkhorn's algorithm

matlab-toolboxes. Contains all my Matlab toolboxes.

2015-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, 2015

ot4ml. Optimal Transport for Machine Learners

2016-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.

2014-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.

2017-ot-beginners. Optimal Transport for Dummies - Code, slides and article

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, 2015

gpeyre.github.io. My homepage

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.

InfiniteZoom. Code to generate an infinite zoom animation.

2016-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, 2016

2021-NonCvxPro. MATLAB

2017-EJAM-quantum-ot. G. Peyré, L. Chizat, F-X. Vialard, J. Solomon, Quantum Optimal Transport for Tensor Field Processing, Arxiv, 2016

2016-shannon-theory. G. Peyré, Claude Shannon et la compression des données, Images des Mathématiques, CNRS, 2016

Orion3D. A 3D engine.

2015-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-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.

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.

SuperResolvedLasso. Code for the paper "Super-resolved Lasso"

flow-sinkhorn. Code for "Beckmann-Sinkhorn: Entropic Regularization of Wasserstein-1 Optimal Transport on Graphs"

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.

2010-gears. Matlab code to generate non-circular gears.

2009-CVIU-manifold. G. Peyré. Manifold models for signals and images. Computer Vision and Image Understanding, 113(2), pp. 249–260, 2009.

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.

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.

2013-FOCM-SparseSpikes. V. Duval, G. Peyré. Exact Support Recovery for Sparse Spikes Deconvolution. Foundations of Computational Mathematics, 15(5), pp. 1315–1355, 2015.

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.

2015-IP-lasso-cbp. V. Duval, G. Peyré. Sparse Spikes Deconvolution on Thin Grids. Preprint HAL:01135200, 2015

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.

2017-SIOPT-stratification. Vincent Duval, Jalal Fadili, Jérôme Malick, Gabriel Peyré, Sensitivity Analysis for Mirror-Stratified Convex Functions, Preprint arxiv, 2016.

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.

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.

louispeyre. Web site of painter Louis Peyre

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.

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.

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.

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-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.