Escaping Strict Saddle Points of the Moreau Envelope in Nonsmooth Optimization

نویسندگان

چکیده

Recent work has shown that stochastically perturbed gradient methods can efficiently escape strict saddle points of smooth functions. We extend this body to nonsmooth optimization, by analyzing an inexact analogue a method applied the Moreau envelope. The main conclusion is variety algorithms for optimization envelope at controlled rate. technical insight many proximal subproblem yield directions approximate

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ژورنال

عنوان ژورنال: Siam Journal on Optimization

سال: 2022

ISSN: ['1095-7189', '1052-6234']

DOI: https://doi.org/10.1137/21m1430868