Siyu Pan

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math.OC2026

Lower Bounds for Nonconvex-PŁ Minimax Optimization

Siyu Pan, Jiajin Li

We study the deterministic first-order oracle complexity of finding stationary points of the value function in smooth nonconvex-Polyak-Łojasiewicz (NC-PŁ) minimax optimization. We…

math.OC2026

Optimal Deterministic Oracle Complexity for Weakly Convex Optimization

Jiajin Li, Siyu Pan

We study the oracle complexity of finding $ε$ -stationary points of $ρ$ -weakly convex and $G$ -Lipschitz functions, where stationarity is measured by the gradient of the Moreau envel…

math.OC2026

Smoothing Meets Perturbation: Unified and Tight Analysis for Nonconvex-Concave Minimax Optimization

Jiajin Li, Mahesh Nagarajan, Siyu Pan +1

This paper studies smooth nonconvex-concave minimax optimization and two acceleration mechanisms for single-loop first-order methods: dual perturbation and smoothing. Although both…