275 citations · 291 across the 16 of their papers we have counts for
16 papers
A Unified Analysis on the Subgradient Upper Bounds for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions
Daoli Zhu, Lei Zhao, Shuzhong Zhang
This paper presents a unified analysis for the proximal subgradient method (Prox-SubGrad) type approach to minimize an overall objective of , subject to convex constrain…
An Augmented Lagrangian Approach to Conically Constrained Non-monotone Variational Inequality Problems
Lei Zhao, Daoli Zhu, Shuzhong Zhang
In this paper we consider a non-monotone (mixed) variational inequality model with (nonlinear) convex conic constraints. Through developing an equivalent Lagrangian function-like p…
Revisiting Subgradient Method: Complexity and Convergence Beyond Lipschitz Continuity
Xiao Li, Lei Zhao, Daoli Zhu +1
The subgradient method is one of the most fundamental algorithmic schemes for nonsmooth optimization. The existing complexity and convergence results for this method are mainly der…
Randomized Coordinate Subgradient Method for Nonsmooth Composite Optimization
Lei Zhao, Ding Chen, Daoli Zhu +1
Coordinate-type subgradient methods for addressing nonsmooth optimization problems are relatively underexplored due to the set-valued nature of the subdifferential. In this work, o…
Linear Convergence of Randomized Primal-Dual Coordinate Method for Large-scale Linear Constrained Convex Programming
Daoli Zhu, Lei Zhao
Linear constrained convex programming has many practical applications, including support vector machine and machine learning portfolio problems. We propose the randomized primal-du…
Level-set Subdifferential Error Bounds and Linear Convergence of Variable Bregman Proximal Gradient Method
Daoli Zhu, Sien Deng, Minghua Li +1
In this work, we develop a level-set subdifferential error bound condition aiming towards convergence rate analysis of a variable Bregman proximal gradient (VBPG) method for a broa…