Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces

For finite-dimensional problems, stochastic approximation methods have long been used to solve stochastic optimization problems. Their application to infinite-dimensional problems is less understood, particularly for nonconvex objectives. This paper presents convergence results for the stochastic pr...

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Bibliographic Details
Published in:	Computational optimization and applications Vol. 78; no. 3; pp. 705 - 740
Main Authors:	Geiersbach, Caroline, Scarinci, Teresa
Format:	Journal Article
Language:	English
Published:	New York, NY Springer US 01.04.2021 Springer Nature B.V
Subjects:	Algorithms Approximation Constraints Continuity (mathematics) Convergence Convex and Discrete Geometry Differential inclusions Hilbert space Management Science Mathematical programming methods Mathematics Mathematics and Statistics Nonsmooth and nonconvex optimization Operations Research Operations Research/Decision Theory Optimal control problems involving partial differential equations Optimization Partial differential equations Partial differential equations with randomness Statistics Stochastic programming Differential inclusions Optimal control problems involving partial differential equations Partial differential equations with randomness Nonsmooth and nonconvex optimization Mathematical programming methods Stochastic programming
ISSN:	1573-2894, 0926-6003, 1573-2894
Online Access:	Get full text
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