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Approximation speed of quantized vs. unquantized ReLU neural networks and beyond

 Antoine Gonon , Nicolas Brisebarre , Rémi Gribonval , Elisa Riccietti
IEEE Transactions on Information Theory, 2023, 69 (6), pp.3960-3977. ⟨10.1109/TIT.2023.3240360⟩
Article dans une revue hal-03672166v2
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Code for reproducible research: Does a sparse ReLU network training problem always admit an optimum?

 Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
2023, ⟨swh:1:dir:bc925c94db38e22382161dead27e7f667d47f71a;origin=https://hal.archives-ouvertes.fr/hal-04233925;visit=swh:1:snp:03d26f344bc6823ea9f499da1ebbe9c37a7c2c8d;anchor=swh:1:rel:893f968c69665c2ca0d3844b48ca1b07d14bd845;path=/⟩
Logiciel hal-04233925v2
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Code for reproducible research - "Spurious Valleys, NP-hardness, and Tractability of Sparse Matrix Factorization With Fixed Support

 Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
2022, ⟨swh:1:dir:96dde633bde9eb800bc2e298ae98dba0579cb052;origin=https://hal.archives-ouvertes.fr/hal-03667186;visit=swh:1:snp:5d6cba12bff4367e05a63c41938941f627ed2946;anchor=swh:1:rel:76d45ab397d6879990a7aa51621191589440f04b;path=/⟩
Logiciel hal-03667186v2
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A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks

 Serge Gratton , Valentin Mercier , Elisa Riccietti , Philippe L Toint
2023
Pré-publication, Document de travail hal-04104450v1
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A path-norm toolkit for modern networks: consequences, promises and challenges

 Antoine Gonon , Nicolas Brisebarre , Elisa Riccietti , Rémi Gribonval
2023
Pré-publication, Document de travail hal-04225201v4
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Fast learning of fast transforms, with guarantees

 Quoc-Tung Le , Léon Zheng , Elisa Riccietti , Rémi Gribonval
ICASSP 2022 - IEEE International Conference on Acoustics, Speech and Signal Processing, May 2022, Singapore, Singapore. ⟨10.1109/ICASSP43922.2022.9747791⟩
Communication dans un congrès hal-03438881v2
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Multilevel FISTA for image restoration

 Guillaume Lauga , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves
ICASSP, IEEE, Jun 2023, Rhodes, Greece. ⟨10.48550/arXiv.2210.15940⟩
Communication dans un congrès hal-03831180v3
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Optimal quantization of rank-one matrices in floating-point arithmetic---with applications to butterfly factorizations

 Rémi Gribonval , Theo Mary , Elisa Riccietti
2023
Pré-publication, Document de travail hal-04125381v1
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ON THE ITERATIVE SOLUTION OF SYSTEMS OF THE FORM A T Ax = A T b + c

 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
SIAM Journal on Matrix Analysis and Applications, 2020, pp.1-25
Article dans une revue hal-02943217v1

On high-order multilevel optimization strategies

 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
2020
Pré-publication, Document de travail hal-02943218v1
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Code for reproducible research for the article "OPTIMAL QUANTIZATION OF RANK-ONE MATRICES IN FLOATING-POINT ARITHMETIC—WITH APPLICATIONS TO BUTTERFLY FACTORIZATIONS

 Rémi Gribonval , Elisa Riccietti , Théo Mary
2023, ⟨swh:1:dir:98eaa2697116f3815573f266465e4a7800d96af8;origin=https://hal.archives-ouvertes.fr/hal-04124171;visit=swh:1:snp:5c0e415b900b448623781225e10029b1e0e4201a;anchor=swh:1:rel:0c27febd089e0c3a3819886fddda683e400d4462;path=/⟩
Logiciel hal-04124171v1
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Méthodes multi-niveaux pour la restauration d'images hyperspectrales

 Guillaume Lauga , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves
2023
Pré-publication, Document de travail hal-04067225v2
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Self-supervised learning with rotation-invariant kernels

 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval
The Eleventh International Conference on Learning Representations, May 2023, Kigali, Rwanda
Communication dans un congrès hal-03738466v4
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A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

 Stefania Bellavia , Serge Gratton , Elisa Riccietti
Numerische Mathematik, 2018, 140 (3), pp.791-825. ⟨10.1007/s00211-018-0977-z⟩
Article dans une revue hal-03126963v1
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Identifiability in Two-Layer Sparse Matrix Factorization

 Léon Zheng , Elisa Riccietti , Rémi Gribonval
2021
Pré-publication, Document de travail hal-03362875v2
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IML FISTA: A Multilevel Framework for Inexact and Inertial Forward-Backward. Application to Image Restoration

 Guillaume Lauga , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves
2023
Pré-publication, Document de travail hal-04075814v3
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Efficient Identification of Butterfly Sparse Matrix Factorizations

 Léon Zheng , Elisa Riccietti , Rémi Gribonval
SIAM Journal on Mathematics of Data Science, 2023, 5 (1), pp.22-49. ⟨10.1137/22M148872⟩
Article dans une revue hal-03362626v6
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On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
Optimization Methods and Software, 2020
Article dans une revue hal-02943228v1
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A multilevel framework for accelerating uSARA in radio-interferometric imaging

 Guillaume Lauga , Audrey Repetti , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves , et al.
2024
Pré-publication, Document de travail hal-04509285v1
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Worst-Case Complexity Bounds of Directional Direct-Search Methods for Multiobjective Optimization

 Ana Luísa Custódio , Youssef Diouane , Rohollah Garmanjani , Elisa Riccietti
Journal of Optimization Theory and Applications, 2020, pp.0. ⟨10.1007/s10957-020-01781-z⟩
Article dans une revue hal-03040932v1
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On Iterative Solution of the Extended Normal Equations

 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
SIAM Journal on Matrix Analysis and Applications, 2020, 41 (4), pp.1571-1589. ⟨10.1137/19M1288644⟩
Article dans une revue hal-02973994v1
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An inexact non stationary Tikhonov procedure for large-scale nonlinearill-posed problems

 Stefania Bellavia , Marco Donatelli , Elisa Riccietti
Inverse Problems, 2020, 36 (9), pp.095007
Article dans une revue hal-03126949v1
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Spurious Valleys, NP-hardness, and Tractability of Sparse Matrix Factorization With Fixed Support

 Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
SIAM Journal on Matrix Analysis and Applications, 2023, 44 (2), pp.503-529. ⟨10.1137/22M1496657⟩
Article dans une revue hal-03364668v5

Multilevel Proximal Methods for Image Restoration

 Guillaume Lauga , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves
Optimization and Control in Burgundy, May 2023, Dijon, France
Communication dans un congrès hal-04105509v1
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Code for reproducible research - Self-supervised learning with rotation-invariant kernels

 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval
2022, ⟨swh:1:dir:0324646066b76298702273fed6baa6a64cfb5b01;origin=https://hal.archives-ouvertes.fr/hal-03737572;visit=swh:1:snp:c7c35f9273f8f23fd018d4dd6b0aaef7e600b0dc;anchor=swh:1:rel:7b216caea6e30f84fae2f12af6235dcbfbd1a85d;path=/⟩
Logiciel hal-03737572v1
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Code for reproducible research - Efficient Identification of Butterfly Sparse Matrix Factorizations

 Léon Zheng , Elisa Riccietti , Rémi Gribonval
2022, ⟨swh:1:dir:ed569ed027c484a53ca2d3d32aa6a05c79b50dbd;origin=https://hal.archives-ouvertes.fr/hal-03620052;visit=swh:1:snp:0706d7527a325d7ac8f46744c182056af46b4756;anchor=swh:1:rel:3884bd8154b9879c5743dfd2279d55102b60358c;path=/⟩
Logiciel hal-03620052v1
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On a multilevel Levenberg–Marquardt method for the training of artificial neural networks and its application to the solution of partial differential equations

 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
Optimization Methods and Software, 2020, pp.1-26. ⟨10.1080/10556788.2020.1775828⟩
Article dans une revue hal-02956018v1
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Code for reproducible research - A path-norm toolkit for modern networks: consequences, promises and challenges

 Antoine Gonon , Nicolas Brisebarre , Elisa Riccietti , Rémi Gribonval
2024, ⟨swh:1:dir:119d3f903d3b6e0a776bd64c71317331839390d4;origin=https://hal.archives-ouvertes.fr/hal-04498597;visit=swh:1:snp:3b7c23b687511f3d2e4673d222c3ba96195bb004;anchor=swh:1:rel:7c123216ebb2018ea3290cbdb4cf4f4b8ddea964;path=/⟩
Logiciel hal-04498597v1
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Does a sparse ReLU network training problem always admit an optimum?

 Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
NeurIPS 2023 - Thirty-seventh Conference on Neural Information Processing Systems, Dec 2023, New Orleans (Lousiane), United States
Communication dans un congrès hal-04108849v2
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Code for reproducible research - Fast learning of fast transforms, with guarantees

 Léon Zheng , Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
2022, ⟨swh:1:dir:42d42bf905c9f3bbcd6cf5e1e0cda6be2d0d63de;origin=https://hal.archives-ouvertes.fr/hal-03552956;visit=swh:1:snp:6a2256426a0f3a7491086fbf2da554d7589d1e18;anchor=swh:1:rel:f477382c82ada89647864605ea44b12383c04167;path=/⟩
Logiciel hal-03552956v1
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