Author

Qi-Long Wu

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Preprint Sep 2026

Tight Lower Bounds for Stochastic Nonconvex-Strongly-Concave Minimax Optimization

We study the stochastic first-order oracle complexity of finding $\epsilon$-stationary points of the primal function in smooth nonconvex-strongly-concave minimax optimization. For sufficiently small $\epsilon$, we establish lower bounds of $\Omega(\kappa L\Delta\sigma^2\epsilon^{-4})$ under the bounded-variance assumpt...

Siqi Zhang, Qi-Long Wu, Jun-Chi Yang · 1 citation

Preprint Sep 2026

Lower Bounds for Nonconvex-Concave Minimax Optimization

We study lower bounds on the first-order oracle complexity of smooth nonconvex-concave minimax optimization. We consider objectives $f$ that are jointly $L$-smooth in the primal and dual variables $(x,y)$, concave in $y$, and whose primal value function $\Phi(x) := \max_{y\in\mathcal Y} f(x,y)$ satisfies the initial-ga...

Qi-Long Wu, Zhi-Hao Gu, Jun-Chi Yang · 4 citations

Preprint Aug 2026

SGHA: A Single-Loop Fully First-Order Algorithm for Nonconvex-Strongly-Convex Bilevel Optimization

This work proposes a novel single-loop algorithm based on a constrained reformulation in which lower-level stationarity is imposed as a constraint, and constructs a regularized Lagrangian by introducing a quadratic regularizer and restricting the dual variable to a bounded domain.

Zhi-Hao Gu, Qi-Long Wu, Jun-Chi Yang · 5 citations · ⚡2