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math.OC2026
Nonsmooth Nonconvex-Concave Minimax Optimization: Convergence Criteria and Algorithms
Jinyang Shi, Luo Luo
This paper considers constrained stochastic nonsmooth minimax optimization problem of the form $\min_{\mathbf{x}\in\mathcal{X}}\max_{\mathbf{y}\in\mathcal{Y}}f\left(\mathbf{x},\mat…
math.OC2026
Solving Convex-Concave Problems with th-Order Oracle Complexity
Lesi Chen, Xinliang Zhang, Chengchang Liu +3
When the objective has Lipschitz continuous th-order derivatives, it is known that convex-concave minimax problems can be solved with th-order ora…
math.OC2026
Decentralized Non-convex Stochastic Optimization with Heterogeneous Variance
Hongxu Chen, Ke Wei, Luo Luo
Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication. In…