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20242026
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math.OC2026

Last-Iterate Convergence of Single-Loop Stochastic Methods for Constrained Convex-Concave Minimax Problems

Taoli Zheng, Jiajin Li, Anthony Man-Cho So

The paper investigates how to guarantee convergence of the final iterate of stochastic first-order algorithms for constrained smooth convex‑concave minimax problems, proposing pert…

math.OC2026

Dual Quaternion SE(3) Synchronization with Recovery Guarantees

Jianing Zhao, Linglingzhi Zhu, Anthony Man-Cho So

Synchronization over the special Euclidean group SE(3) aims to recover absolute poses from noisy pairwise relative transformations and is a core primitive in robotics and 3D vision…

math.OC2025

Efficient Single-Loop Stochastic Algorithms for Nonconvex-Concave Minimax Optimization

Xia Jiang, Linglingzhi Zhu, Taoli Zheng +1

Nonconvex-concave (NC-C) finite-sum minimax problems have wide applications in signal processing and machine learning tasks. Conventional stochastic gradient algorithms, which rely…

math.OC2025

Doubly Smoothed Optimistic Gradients: A Universal Approach for Smooth Minimax Problems

Taoli Zheng, Anthony Man-Cho So, Jiajin Li

Smooth minimax optimization problems play a central role in a wide range of applications, including machine learning, game theory, and operations research. However, existing algori…

math.OC2024

Shuffling Gradient Descent-Ascent with Variance Reduction for Nonconvex-Strongly Concave Smooth Minimax Problems

Xia Jiang, Linglingzhi Zhu, Anthony Man-Cho So +2

In recent years, there has been considerable interest in designing stochastic first-order algorithms to tackle finite-sum smooth minimax problems. To obtain the gradient estimates,…