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math.OC2022★ 11 cited
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and its Implications
Shiwei Wang, Chao Ding, Yangjing Zhang +1
Strong variational sufficiency is a newly proposed property, which turns out to be of great use in the convergence analysis of multiplier methods. However, what this property impli…
math.OC2022
Robins-Monro Augmented Lagrangian Method for Stochastic Convex Optimization
Rui Wang, Chao Ding
In this paper, we propose a Robbins-Monro augmented Lagrangian method (RMALM) to solve a class of constrained stochastic convex optimization, which can be regarded as a hybrid of t…
math.OC2022
On the robust isolated calmness of a class of nonsmooth optimizations on Riemannian manifolds and its applications
Chenglong Bao, Chao Ding, Yuexin Zhou
This paper studies the robust isolated calmness property of the KKT solution mapping of a class of nonsmooth optimization problems on Riemannian manifolds. The manifold versions of…