Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. (English) Zbl 1497.65099 Set-Valued Var. Anal. 30, No. 3, 1117-1147 (2022). MSC: 65K10 34A60 90C15 PDFBibTeX XMLCite \textit{P. Bianchi} et al., Set-Valued Var. Anal. 30, No. 3, 1117--1147 (2022; Zbl 1497.65099) Full Text: DOI arXiv
Barakat, Anas; Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom Stochastic optimization with momentum: convergence, fluctuations, and traps avoidance. (English) Zbl 1471.62442 Electron. J. Stat. 15, No. 2, 3892-3947 (2021). MSC: 62L20 34A12 60F99 68T99 PDFBibTeX XMLCite \textit{A. Barakat} et al., Electron. J. Stat. 15, No. 2, 3892--3947 (2021; Zbl 1471.62442) Full Text: DOI arXiv Link
Bianchi, Pascal; Hachem, Walid; Salim, Adil A fully stochastic primal-dual algorithm. (English) Zbl 1466.90058 Optim. Lett. 15, No. 2, 701-710 (2021). MSC: 90C15 PDFBibTeX XMLCite \textit{P. Bianchi} et al., Optim. Lett. 15, No. 2, 701--710 (2021; Zbl 1466.90058) Full Text: DOI arXiv
Barakat, Anas; Bianchi, Pascal Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. (English) Zbl 1465.90050 SIAM J. Optim. 31, No. 1, 244-274 (2021). MSC: 90C15 90C26 62L20 60F05 65K05 34A12 37C60 PDFBibTeX XMLCite \textit{A. Barakat} and \textit{P. Bianchi}, SIAM J. Optim. 31, No. 1, 244--274 (2021; Zbl 1465.90050) Full Text: DOI arXiv
Bianchi, Pascal; Hachem, Walid; Salim, Adil Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications. (English) Zbl 1500.60040 Stochastics 91, No. 2, 288-320 (2019). MSC: 60J10 34A60 60G57 60K25 PDFBibTeX XMLCite \textit{P. Bianchi} et al., Stochastics 91, No. 2, 288--320 (2019; Zbl 1500.60040) Full Text: DOI arXiv
Bianchi, Pascal; Hachem, Walid; Salim, Adil A constant step forward-backward algorithm involving random maximal monotone operators. (English) Zbl 07079312 J. Convex Anal. 26, No. 2, 397-436 (2019). MSC: 47H05 47N10 62L20 34A60 PDFBibTeX XMLCite \textit{P. Bianchi} et al., J. Convex Anal. 26, No. 2, 397--436 (2019; Zbl 07079312) Full Text: arXiv Link
Fercoq, Olivier; Bianchi, Pascal A coordinate-descent primal-dual algorithm with large step size and possibly nonseparable functions. (English) Zbl 1411.90265 SIAM J. Optim. 29, No. 1, 100-134 (2019). MSC: 90C25 49M25 90C06 PDFBibTeX XMLCite \textit{O. Fercoq} and \textit{P. Bianchi}, SIAM J. Optim. 29, No. 1, 100--134 (2019; Zbl 1411.90265) Full Text: DOI arXiv