Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions-Reference-Cited by-同舟云学术

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Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions

Published:2022-04-08 Issue:3 Volume:30 Page:1117-1147
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Bianchi Pascal,Hachem Walid,Schechtman Sholom^ORCID

Funder

Conseil Régional, Île-de-France

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11228-022-00638-z.pdf

Reference27 articles.

1. Aliprantis, C.D., Border, K.C.: Infinite Dimensional Analysis: a Hitchhiker’s Guide. Springer, Berlin (2006). https://doi.org/10.1007/3-540-29587-9

2. Aubin, J.P., Cellina, A.: Differential inclusions, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 264. Springer, Berlin (1984). https://doi.org/10.1007/978-3-642-69512-4. Set-valued maps and viability theory

3. Aubin, J.P., Frankowska, H., Lasota, A.: Poincaré’s recurrence theorem for set-valued dynamical systems. Ann. Polon. Math. 54(1), 85–91 (1991). https://doi.org/10.4064/ap-54-1-85-91

4. Benaïm, M., Hofbauer, J., Sorin, S.: Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44(1), 328–348 (2005). (electronic). https://doi.org/10.1137/S0363012904439301

5. Benveniste, A., Métivier, M., Priouret, P.: Adaptive algorithms and stochastic approximations, Applications of Mathematics (New York), vol. 22. Springer, Berlin (1990). https://doi.org/10.1007/978-3-642-75894-2. Translated from the French by Stephen S. Wilson

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