Training Data-driven Experts in OPTimization

Chambolle-Pock's Primal-Dual Method with Mismatched Adjoint

Author(s): Dirk A. Lorenz and Felix Schneppe
Published in: 2022
Publisher: ArXiv

AN ADAPTIVE FORWARD-BACKWARD-FORWARD SPLITTING ALGORITHM FOR SOLVING PSEUDO-MONOTONE INCLUSIONS

Author(s): Chorobura, Flavia; Necoara, Ion, I; Pesquet, Jean-Christophe
Published in: https://hal.science/hal-04571492, Issue 12, 2024
Publisher: HAL Open Science

Convergence of an Asynchronous Block-Coordinate Forward-Backward Algorithm for Convex Composite Optimization

Author(s): Cheik Traoré, Saverio Salzo, Silvia Villa
Published in: 2021
Publisher: ArXiv
DOI: 10.48550/arxiv.2201.05498

Optimization Insights into Deep Diagonal Linear Networks

Author(s): Hippolyte Labarrière, Cesare Molinari, Lorenzo Rosasco, Silvia Villa, Cristian Vega
Published in: 2024
Publisher: ArXiv
DOI: 10.48550/arxiv.2412.16765

Outer Approximation Scheme for Weakly Convex Constrained Optimization Problems

Author(s): Ewa M. Bednarczuk, Giovanni Bruccola, Jean-Christophe Pesquet, Krzysztof Rutkowski
Published in: 2024
Publisher: Cornell University
DOI: 10.48550/arxiv.2409.14895

Finding global solutions for a class of possibly nonconvex QCQP problems through the S-lemma

Author(s): Ewa M. Bednarczuk, Giovanni Bruccola
Published in: 2022
Publisher: ArXiv
DOI: 10.48550/arxiv.2206.00618

Forward-Backward algorithms for weakly convex problems

Author(s): Bednarczuk, Ewa; Bruccola, Giovanni; Scrivanti, Gabriele; Tran, The Hung
Published in: 2023
Publisher: Cornell University

Moving higher-order Taylor approximations method for smooth constrained minimization problems

Author(s): Yassine Nabou, Ion Necoara
Published in: 2024
Publisher: Cornell University
DOI: 10.48550/arxiv.2402.15022

AN ADAPTIVE FORWARD-BACKWARD-FORWARD SPLITTING ALGORITHM FOR SOLVING PSEUDO-MONOTONE INCLUSIONS

Author(s): F. Chorobura, I. Necoara, J.-C. Pesquet
Published in: 2024
Publisher: HAL Open Science

A consensus-based algorithm for non-convex multiplayer games

Author(s): Enis Chenchene, Hui Huang, Jinniao Qiu
Published in: 2023
Publisher: Cornell University
DOI: 10.48550/arxiv.2311.08270

Fast iterative regularization by reusing data

Author(s): Cristian Vega, Cesare Molinari, Lorenzo Rosasco, Silvia Villa
Published in: 2022
Publisher: ArXiv
DOI: 10.48550/arxiv.2204.10131

Primal-dual algorithm for weakly convex functions under sharpness conditions. ArXiv, 2024.

Author(s): E Bednarczuk, T. H. Tran, M Syga
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2410.20977

Proximal Algorithms for a class of abstract convex functions

Author(s): Ewa Bednarczuk, Dirk Lorenz, The Hung Tran
Published in: 2024
Publisher: ArXiv
DOI: 10.48550/arxiv.2402.17072

Learning Firmly Nonexpansive Operators

Author(s): Kristian Bredies, Jonathan Chirinos-Rodriguez, Emanuele Naldi
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2407.14156

Weak topology and Opial property in Wasserstein spaces, with applications to Gradient Flows and Proximal Point Algorithms of geodesically convex functionals

Author(s): Emanuele Naldi and Giuseppe Savaré,
Published in: 2021
Publisher: AirXiv

Cartoon images dataset for total variation parameter learning

Author(s): Enis Chenchene, Kristian Bredies, Alireza Hosseini
Published in: Zenodo, 2022
Publisher: CERN
DOI: 10.5281/zenodo.7267053

A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods

Author(s): M. Marques Alves, D. Lorenz, E. Naldi
Published in: 2024
Publisher: Arxiv

A variational approach for joint image recovery-segmentation based on spatially varying generalised Gaussian models

Author(s): Emilie Chouzenoux, Marie-Caroline Corbineau, Jean-Christophe Pesquet, Gabriele Scrivanti
Published in: 2022
Publisher: HAL Open Science

Faster Randomized Block Sparse Kaczmarz by Averaging

Author(s): Lionel Tondji, Dirk A Lorenz
Published in: 2022
Publisher: AirXiv

Space-Variant Image Reconstruction Via Cauchy Regularisation: Application to Optical Coherence Tomography

Author(s): Alin Achim, Luca Calatroni, Serena Morigi, Gabriele Scrivanti
Published in: SSRN Electronic Journal, 2023, ISSN 1556-5068
Publisher: Elsevier
DOI: 10.2139/ssrn.4047898

Acceleration and restart for the randomized Bregman-Kaczmarz method

Author(s): Lionel Tondji, Ion Necoara, Dirk A. Lorenz
Published in: Linear Algebra and its Applications, Issue 699, 2025, Page(s) 508-538, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/j.laa.2024.07.009

Rapid and Noise‐Resilient Mapping of Photogenerated Carrier Lifetime in Halide Perovskite Thin Films

Author(s): Guillaume Vidon, Gabriele Scrivanti, Etienne Soret, Nao Harada, Emilie Chouzenoux, Jean‐Christophe Pesquet, Jean‐François Guillemoles, Stefania Cacovich
Published in: Advanced Functional Materials, Issue 34, 2025, ISSN 1616-301X
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/adfm.202402343

Stochastic zeroth order descent with structured directions

Author(s): Marco Rando, Cesare Molinari, Silvia Villa, Lorenzo Rosasco
Published in: Computational Optimization and Applications, Issue 89, 2024, Page(s) 691-727, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-024-00616-1

An unrolled half-quadratic approach for sparse signal recovery in spectroscopy

Author(s): Mouna Gharbi, Emilie Chouzenoux, Jean-Christophe Pesquet
Published in: Signal Processing, Issue 218, 2024, Page(s) 109369, ISSN 0165-1684
Publisher: Elsevier BV
DOI: 10.1016/j.sigpro.2023.109369

Duality for composite optimization problem within the framework of abstract convexity

Author(s): Ewa Bednarczuk; The Hung Tran
Published in: Optimization: A Journal of Mathematical Programming and Operations Research, Issue Volume 72, 2023 - Issue 1, 2023, Page(s) 37-80, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2022.2132822

Variance Reduction Techniques for Stochastic Proximal Point Algorithms

Author(s): Cheik Traoré, Vassilis Apidopoulos, Saverio Salzo, Silvia Villa
Published in: Journal of Optimization Theory and Applications, Issue 203, 2024, Page(s) 1910-1939, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-024-02502-6

Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems

Author(s): Frank Schöpfer, Dirk A. Lorenz, Lionel Tondji, Maximilian Winkler
Published in: Linear Algebra and Applications, Issue 652, 2022, Page(s) 132–154, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/j.laa.2022.07.003

Efficiency of higher-order algorithms for minimizing composite functions

Author(s): Y. Nabou, I. Necoara
Published in: Computational Optimization and Applications, 2023, ISSN 1573-2894
Publisher: Springer Netherlands
DOI: 10.1007/s10589-023-00533-9

Efficiency of Stochastic Coordinate Proximal Gradient Methods on Nonseparable Composite Optimization

Author(s): Ion Necoara, Flavia Chorobura
Published in: Mathematics of Operations Research, 2024, ISSN 0364-765X
Publisher: Institute for Operations Research and the Management Sciences
DOI: 10.1287/moor.2023.0044

Degenerate preconditioned proximal point algorithms

Author(s): Kristian Bredies, Enis Chenchene, Dirk Lorenz, Emanuale Naldi
Published in: SIAM Journal on Optimization, Issue 10526234, 2022, Page(s) 2376-2401, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1448112

Random Coordinate Descent Methods for Nonseparable Composite Optimization

Author(s): Flavia Chorobura, Ion Necoara
Published in: SIAM Journal on Optimization, Issue 33, 2023, Page(s) 2160-2190, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m148700x

On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces

Author(s): Kristian Bredies, Jonathan Chirinos Rodriguez, Emanuele Naldi
Published in: Archiv der Mathematik, Issue 122(6), 2024, Page(s) 651-658, ISSN 0003-889X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00013-024-01978-y

Wasserstein Medians: Robustness, PDE Characterization, and Numerics

Author(s): G. Carlier, E. Chenchene, K. Eichinger
Published in: SIAM Journal on Mathematical Analysis, Issue 56, 2024, Page(s) 6483-6520, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1624786

Sequential convergence of AdaGrad algorithm for smooth convex optimization

Author(s): Cheik Traoré, Edouard Pauwels
Published in: Operations Research Letters, Issue 49/4, 2021, Page(s) 452-458, ISSN 0167-6377
Publisher: Elsevier BV
DOI: 10.1016/j.orl.2021.04.011

On learning the optimal regularization parameter in inverse problems

Author(s): Jonathan Chirinos-Rodríguez, Ernesto De Vito, Cesare Molinari, Lorenzo Rosasco, Silvia Villa
Published in: Inverse Problems, Issue 40, 2024, Page(s) 125004, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ad8a84

Adaptive Bregman–Kaczmarz: an approach to solve linear inverse problems with independent noise exactly

Author(s): Lionel Tondji, Idriss Tondji, Dirk Lorenz
Published in: Inverse Problems, Issue 40, 2024, Page(s) 095006, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ad5fb1

Graph and distributed extensions of the Douglas-Rachford method

Author(s): Kristian Bredies, Enis Chenchene, Emanuele Naldi
Published in: SIAM Journal on Optimization, Issue 34(2), 2024, Page(s) 1569-1594, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m1535097

Proximal Gauss-Newton Method for Box-constrained Parameter Identification of a Nonlinear Railway Suspension System

Author(s): Kristian Bredies, Enis Chenchene, Josef Fuchs, Bernd Luber
Published in: International Journal of Prognostics and Health Management, Issue 15, 2024, ISSN 2153-2648
Publisher: PHM Society
DOI: 10.36001/ijphm.2024.v15i2.3919

The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford

Author(s): Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi
Published in: Optimization, 2024, Page(s) 1-27, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2024.2325552

Linearly convergent adjoint free solution of least squares problems by random descent

Author(s): Dirk A. Lorenz, Felix Schneppe, and Lionel Tondji
Published in: Inverse Problems, Issue Volume 39, Number 12, 2023, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ad08ed

On global solvability of a class of possibly nonconvex QCQP problems in Hilbert spaces

Author(s): Ewa M. Bednarczuk, Giovanni Bruccola
Published in: Optimisation, 2023, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2023.2281640

Random Activations in Primal-Dual Splittings for Monotone Inclusions with a Priori Information

Author(s): Luis Briceño-Arias, Julio Deride, Cristian Vega
Published in: Journal of Optimization Theory and Applications volume 192, issue 1, pages 56–81 (2022), 2022, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-021-01944-6

In Vivo Myelin Water Quantification Using Diffusion–Relaxation Correlation MRI: A Comparison of 1D and 2D Methods

Author(s): Sebastian Endt, Maria Engel, Emanuele Naldi, Rodolfo Assereto, Malwina Molendowska, Lars Mueller, Claudio Mayrink Verdun, Carolin M. Pirkl, Marco Palombo, Derek K. Jones, Marion I. Menzel
Published in: Applied Magnetic Resonance, 2023, ISSN 0937-9347
Publisher: Springer Verlag
DOI: 10.1007/s00723-023-01584-1

Proximal gradient methods with inexact oracle of degree q for composite optimization

Author(s): Yassine Nabou, François Glineur, Ion Necoara
Published in: Optimization Letters, 2024, ISSN 1862-4472
Publisher: Springer Verlag
DOI: 10.1007/s11590-024-02118-9

Coordinate descent methods beyond smoothness and separability

Author(s): Flavia Chorobura, Ion Necoara
Published in: Computational Optimization and Applications, Issue 88, 2024, Page(s) 107-149, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-024-00556-w

Modified projected Gauss-Newton method for constrained nonlinear least-squares: application to power flow analysis

Author(s): Y Nabou, L Toma and I Necoara
Published in: European Control Conference (ECC), 2023, Page(s) 1-6
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178179

Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions

Author(s): Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti, The Hung Tran
Published in: 2023 European Control Conference (ECC), 2024, Page(s) 1-8
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178118

Coordinate projected gradient descent minimization and its application to orthogonal nonnegative matrix factorization

Author(s): Flavia Chorobura, Daniela Lupu, Ion Necoara
Published in: IEEE 61st Conference on Decision and Control (CDC), 2022, Page(s) 6929-6934
Publisher: IEEE
DOI: 10.1109/cdc51059.2022.9992996

Can random proximal coordinate descent be accelerated on nonseparable convex composite minimization problems?

Author(s): Flavia Chorobura, Francois Glineur and Ion Necoara
Published in: European Control Conference (ECC), 2023
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178217

Unrolled Deep Networks for Sparse Signal Restoration in Analytical Chemistry

Author(s): Mouna Gharbi, Silvia Villa, Emilie Chouzenoux, Jean-Christophe Pesquet, Laurent Duval
Published in: 2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP), 2024, Page(s) 1-6
Publisher: IEEE
DOI: 10.1109/mlsp58920.2024.10734838

Snacks: a fast large-scale kernel SVM solver

Author(s): Sofiane Tanji, Andrea Della Vecchia, François Glineur, Silvia Villa
Published in: 2023 European Control Conference (ECC), 2024, Page(s) 1-6
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178323

On the Worst-Case Analysis of Cyclic Coordinate-Wise Algorithms on Smooth Convex Functions

Author(s): Yassine Kamri, Julien M. Hendrickx, François Glineur
Published in: 2023 European Control Conference (ECC), 2024, Page(s) 1-8
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178198

A hybrid proximal generalized conditional gradient method and application to total variation parameter learning

Author(s): Enis Chenchene, Kristian Bredies, Alireza Hosseini
Published in: 2023 European Control Conference (ECC), 2022, Page(s) 322-327
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178166

Regularized Bregman Approach for Total-Variation Parameter Learning

Author(s): Kristian Bredies, Enis Chenchene
Published in: Proceedings of the OAGM Workshop 2023, 2023
Publisher: Verlag der TU Graz
DOI: 10.5281/zenodo.14332592

A CNC approach for Directional Total Variation

Author(s): Gabriele Scrivanti, Émilie Chouzenoux, Jean-Christophe Pesquet
Published in: 2022
Publisher: HAL OPen Science
DOI: 10.48550/arxiv.2209.01376

GPU-based Implementations of MM Algorithms.Application to Spectroscopy Signal Restoration

Author(s): Mouna Gharbi, E. Chouzenoux, J.-C. Pesquet, L. Duval
Published in: Proceedings of the 29th European Signal Processing Conference, EUSIPCO 2021, Issue 29, 2021, Page(s) 2094-2098
Publisher: Eurasip open library

An accelerated randomized Bregman-Kaczmarz method for strongly convex linearly constraint optimization*

Author(s): L. Tondji, D. A. Lorenz and I. Necoara
Published in: 2023 European Control Conference (ECC), 2023, Page(s) 1-6
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178390

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