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math.OC2026
SLDBO: A Snapshot Single-Loop Algorithm for Decentralized Bilevel Optimization
Chao Yin, Youran Dong, Shiqian Ma +2
Networked AI systems increasingly rely on multiple agents that collaboratively learn and adapt models over communication networks. In such systems, bilevel formulations naturally a…
math.OC2025
Adaptive sieving with semismooth Newton proximal augmented Lagrangian algorithm for multi-task Lasso problems
Lanyu Lin, Yong-Jin Liu, Bo Wang +1
Multi-task learning enhances model generalization by jointly learning from related tasks. This paper focuses on the -norm constrained multi-task learning problem,…
math.OC2024
Relaxed Proximal Point Algorithm: Tight Complexity Bounds and Acceleration without Momentum
Bofan Wang, Shiqian Ma, Junfeng Yang +1
In this paper, we focus on the relaxed proximal point algorithm (RPPA) for solving convex (possibly nonsmooth) optimization problems. We conduct a comprehensive study on three type…