Castera, Camille; Attouch, Hedy; Fadili, Jalal; Ochs, Peter Continuous Newton-like methods featuring inertia and variable mass. (English) Zbl 07801119 SIAM J. Optim. 34, No. 1, 251-277 (2024). MSC: 37N40 46N10 49M15 65B99 65K10 PDFBibTeX XMLCite \textit{C. Castera} et al., SIAM J. Optim. 34, No. 1, 251--277 (2024; Zbl 07801119) Full Text: DOI arXiv
El Bouchairi, Imad; Fadili, Jalal M.; Elmoataz, Abderrahim Continuum limit of \(p\)-Laplacian evolution problems on graphs: \(L^q\) graphons and sparse graphs. (English) Zbl 1528.65096 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1795-1838 (2023). MSC: 65N12 65M06 05C90 35R09 45K05 35R02 35R60 PDFBibTeX XMLCite \textit{I. El Bouchairi} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1795--1838 (2023; Zbl 1528.65096) Full Text: DOI arXiv
Attouch, Hedy; Chbani, Zaki; Fadili, Jalal; Riahi, Hassan Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping. (English) Zbl 1519.90260 Optimization 72, No. 5, 1199-1238 (2023). MSC: 90C48 90C25 PDFBibTeX XMLCite \textit{H. Attouch} et al., Optimization 72, No. 5, 1199--1238 (2023; Zbl 1519.90260) Full Text: DOI arXiv
Attouch, Hedy; Chbani, Zaki; Fadili, Jalal; Riahi, Hassan First-order optimization algorithms via inertial systems with Hessian driven damping. (English) Zbl 1497.37121 Math. Program. 193, No. 1 (A), 113-155 (2022). MSC: 37N40 37M05 46N10 65K05 65K10 90B50 90C25 PDFBibTeX XMLCite \textit{H. Attouch} et al., Math. Program. 193, No. 1 (A), 113--155 (2022; Zbl 1497.37121) Full Text: DOI arXiv
Luu, Tung Duy; Fadili, Jalal; Chesneau, Christophe Sampling from non-smooth distributions through Langevin diffusion. (English) Zbl 1477.60009 Methodol. Comput. Appl. Probab. 23, No. 4, 1173-1201 (2021). MSC: 60-08 65C05 PDFBibTeX XMLCite \textit{T. D. Luu} et al., Methodol. Comput. Appl. Probab. 23, No. 4, 1173--1201 (2021; Zbl 1477.60009) Full Text: DOI HAL
Silveti-Falls, Antonio; Molinari, Cesare; Fadili, Jalal Generalized conditional gradient with augmented Lagrangian for composite minimization. (English) Zbl 1450.65054 SIAM J. Optim. 30, No. 4, 2687-2725 (2020). MSC: 65K05 65K10 49J52 PDFBibTeX XMLCite \textit{A. Silveti-Falls} et al., SIAM J. Optim. 30, No. 4, 2687--2725 (2020; Zbl 1450.65054) Full Text: DOI arXiv
Luu, Tung Duy; Fadili, Jalal; Chesneau, Christophe Sharp oracle inequalities for low-complexity priors. (English) Zbl 1439.62141 Ann. Inst. Stat. Math. 72, No. 2, 353-397 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 62H12 62H10 62R10 60E15 PDFBibTeX XMLCite \textit{T. D. Luu} et al., Ann. Inst. Stat. Math. 72, No. 2, 353--397 (2020; Zbl 1439.62141) Full Text: DOI arXiv
Hafiene, Yosra; Fadili, Jalal M.; Elmoataz, Abderrahim Continuum limits of nonlocal \(p\)-Laplacian variational problems on graphs. (English) Zbl 1447.65056 SIAM J. Imaging Sci. 12, No. 4, 1772-1807 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 65M15 41A17 05C80 05C90 49M25 65K15 35A15 35Q35 35K20 35R02 35R09 PDFBibTeX XMLCite \textit{Y. Hafiene} et al., SIAM J. Imaging Sci. 12, No. 4, 1772--1807 (2019; Zbl 1447.65056) Full Text: DOI arXiv
Becker, Stephen; Fadili, Jalal; Ochs, Peter On quasi-Newton forward-backward splitting: proximal calculus and convergence. (English) Zbl 1461.65128 SIAM J. Optim. 29, No. 4, 2445-2481 (2019). MSC: 65K05 90C25 90C31 PDFBibTeX XMLCite \textit{S. Becker} et al., SIAM J. Optim. 29, No. 4, 2445--2481 (2019; Zbl 1461.65128) Full Text: DOI arXiv
Molinari, Cesare; Liang, Jingwei; Fadili, Jalal Convergence rates of forward-Douglas-Rachford splitting method. (English) Zbl 1421.49014 J. Optim. Theory Appl. 182, No. 2, 606-639 (2019). MSC: 49J52 65K05 65K10 90C25 PDFBibTeX XMLCite \textit{C. Molinari} et al., J. Optim. Theory Appl. 182, No. 2, 606--639 (2019; Zbl 1421.49014) Full Text: DOI arXiv
Ochs, Peter; Fadili, Jalal; Brox, Thomas Non-smooth non-convex Bregman minimization: unification and new algorithms. (English) Zbl 1416.49015 J. Optim. Theory Appl. 181, No. 1, 244-278 (2019). MSC: 49J52 65K05 65K10 90C26 PDFBibTeX XMLCite \textit{P. Ochs} et al., J. Optim. Theory Appl. 181, No. 1, 244--278 (2019; Zbl 1416.49015) Full Text: DOI arXiv
Fadili, Jalal; Malick, Jérôme; Peyré, Gabriel Sensitivity analysis for mirror-stratifiable convex functions. (English) Zbl 1461.65148 SIAM J. Optim. 28, No. 4, 2975-3000 (2018). MSC: 65K05 90C25 90C31 PDFBibTeX XMLCite \textit{J. Fadili} et al., SIAM J. Optim. 28, No. 4, 2975--3000 (2018; Zbl 1461.65148) Full Text: DOI arXiv
Liang, Jingwei; Fadili, Jalal; Peyré, Gabriel Local linear convergence analysis of primal-dual splitting methods. (English) Zbl 1400.90246 Optimization 67, No. 6, 821-853 (2018). MSC: 90C25 PDFBibTeX XMLCite \textit{J. Liang} et al., Optimization 67, No. 6, 821--853 (2018; Zbl 1400.90246) Full Text: DOI arXiv
Hafiene, Yosra; Fadili, Jalal; Elmoataz, Abderrahim Nonlocal \(p\)-Laplacian evolution problems on graphs. (English) Zbl 1448.65200 SIAM J. Numer. Anal. 56, No. 2, 1064-1090 (2018). MSC: 65N12 65M12 35K20 35K92 45G10 05C90 35R02 PDFBibTeX XMLCite \textit{Y. Hafiene} et al., SIAM J. Numer. Anal. 56, No. 2, 1064--1090 (2018; Zbl 1448.65200) Full Text: DOI arXiv
Liang, Jingwei; Fadili, Jalal; Peyré, Gabriel Local convergence properties of Douglas-Rachford and alternating direction method of multipliers. (English) Zbl 1362.65065 J. Optim. Theory Appl. 172, No. 3, 874-913 (2017). MSC: 65K10 49J52 65K05 90C25 PDFBibTeX XMLCite \textit{J. Liang} et al., J. Optim. Theory Appl. 172, No. 3, 874--913 (2017; Zbl 1362.65065) Full Text: DOI
Liang, Jingwei; Fadili, Jalal; Peyré, Gabriel Activity identification and local linear convergence of forward-backward-type methods. (English) Zbl 1357.49064 SIAM J. Optim. 27, No. 1, 408-437 (2017). MSC: 49J52 65K05 65K10 90C25 90C31 PDFBibTeX XMLCite \textit{J. Liang} et al., SIAM J. Optim. 27, No. 1, 408--437 (2017; Zbl 1357.49064) Full Text: DOI arXiv
Liang, Jingwei; Fadili, Jalal; Peyré, Gabriel Convergence rates with inexact non-expansive operators. (English) Zbl 1353.47106 Math. Program. 159, No. 1-2 (A), 403-434 (2016). MSC: 47J25 47J22 47H05 47H09 90C25 PDFBibTeX XMLCite \textit{J. Liang} et al., Math. Program. 159, No. 1--2 (A), 403--434 (2016; Zbl 1353.47106) Full Text: DOI arXiv
Liang, Jingwei; Fadili, Jalal; Peyré, Gabriel; Luke, Russell Activity identification and local linear convergence of Douglas-Rachford/ADMM under partial smoothness. (English) Zbl 1444.90091 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 642-653 (2015). MSC: 90C25 68T45 PDFBibTeX XMLCite \textit{J. Liang} et al., Lect. Notes Comput. Sci. 9087, 642--653 (2015; Zbl 1444.90091) Full Text: DOI arXiv
Vaiter, Samuel; Peyré, Gabriel; Fadili, Jalal Low complexity regularization of linear inverse problems. (English) Zbl 1358.94016 Pfander, Götz E. (ed.), Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer (ISBN 978-3-319-19748-7/hbk; 978-3-319-19749-4/ebook). Applied and Numerical Harmonic Analysis, 103-153 (2015). MSC: 94A08 94A12 PDFBibTeX XMLCite \textit{S. Vaiter} et al., in: Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer. 103--153 (2015; Zbl 1358.94016) Full Text: DOI arXiv