arXiv Machine Learning By Linglingzhi Zhu, Jiajin Li

Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity

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arXiv:2607. 08954v1 Announce Type: cross Abstract: We study nonasymptotic convergence of primal-dual methods for a class of nonconvex constrained optimization problems with a convex-composite structure.

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arXiv Machine Learning
Jul 23

Online Optimization of Difference-of-Convex Compositions with Smooth Mappings

arXiv:2607. 19553v1 Announce Type: cross Abstract: We study online optimization for a broad class of structured non-convex non-smooth problems where each loss is a composition of a difference-of-convex function with a smooth mapping, and the feasible region is defined by constraint functions of the same kind.

By Jingwei Ji, Jong-Shi Pang, Renyuan Xu