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math.OC2023
Preconditioned Primal-Dual Gradient Methods for Nonconvex Composite and Finite-Sum Optimization
Jiahong Guo, Xiao Wang, Xiantao Xiao
In this paper, we first introduce a preconditioned primal-dual gradient algorithm based on conjugate duality theory. This algorithm is designed to solve composite optimization prob…
math.OC2023
Dynamical convergence analysis for nonconvex linearized proximal ADMM algorithms
Jiahong Guo, Xiao Wang, Xiantao Xiao
The convergence analysis of optimization algorithms using continuous-time dynamical systems has received much attention in recent years. In this paper, we investigate applications…