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math.OC2024★ 1 cited
Finite-Time Decoupled Convergence in Nonlinear Two-Time-Scale Stochastic Approximation
Yuze Han, Xiang Li, Zhihua Zhang
In two-time-scale stochastic approximation (SA), two iterates are updated at varying speeds using different step sizes, with each update influencing the other. Previous studies on…
math.OC2023
Asymptotic Behaviors and Phase Transitions in Projected Stochastic Approximation: A Jump Diffusion Approach
Jiadong Liang, Yuze Han, Xiang Li +1
In this paper we consider linearly constrained optimization problems and propose a loopless projection stochastic approximation (LPSA) algorithm. It performs the projection with pr…
math.OC2021★ 13 cited
Lower Complexity Bounds of Finite-Sum Optimization Problems: The Results and Construction
Yuze Han, Guangzeng Xie, Zhihua Zhang
In this paper, we study the lower complexity bounds for finite-sum optimization problems, where the objective is the average of individual component functions. We consider Prox…