gpeyre/2013-SIIMS-regularized-ot

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gpeyre/2013-SIIMS-regularized-ot

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S. Ferradans, N. Papadakis, G. Peyré, J-F. Aujol. Regularized Discrete Optimal Transport. SIAM Journal on Imaging Sciences, 7(3), pp. 1853–1882, 2014.

numerical-tours

Numerical Tours of Signal Processing

Jupyter Notebook

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

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.

2017-ot-beginners

Optimal Transport for Dummies - Code, slides and article

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.

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

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

2017-EJAM-quantum-ot

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

2021-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

2016-shannon-theory

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

Jupyter Notebook

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-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.

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"

Jupyter Notebook

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, 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.

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 Peyre

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.

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.