papers

Publications (8)

math.PR2026

Decoupled Functional Central Limit Theorems for Two-Time-Scale Stochastic Approximation

Yuze Han, Xiang Li, Jiadong Liang +1

In two-time-scale stochastic approximation (SA), two iterates are updated at different rates, governed by distinct step sizes, with each update influencing the other. Previous stud…

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.OC2023

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…

math.OC2026

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…

cs.LG2023

Stochastic Distributed Optimization under Average Second-order Similarity: Algorithms and Analysis

Dachao Lin, Yuze Han, Haishan Ye +1

We study finite-sum distributed optimization problems involving a master node and local nodes under the popular -similarity and -strong convexity conditions. We propo…

cs.LG2026

Last-Iterate Analyses of FTRL with the 1/2-Tsallis Entropy in Stochastic Bandits

Jingxin Zhan, Yuze Han, Zhihua Zhang

The convergence analysis of online learning algorithms is central to machine learning theory, where the last-iterate convergence is particularly important, as it captures the learn…