Author

Zi Xu

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Preprint Sep 2026

Near-Optimal Single-Loop Predictor--Corrector Extragradient Method for Strongly Convex--Strongly Concave Minimax Optimization

The Single-Loop Predictor--Corrector Extragradient Method with Damped Momentum (PCE-DM), which combines an extragradient prediction--correction scheme with a novel auxiliary feedback recursion for the weaker-curvature variable, closes the condition-number complexity gap between standard single-loop methods and near-opt...

Min-hao Zhang, Zi Xu · 0 citations

#machine learning Preprint Sep 2026

Near-Optimal Pure Single-Loop Extragradient Method for Strongly Convex--Strongly Concave Minimax Optimization

We study smooth strongly convex--strongly concave minimax optimization with general nonlinear coupling in the deterministic unconstrained setting. We propose a pure single-loop damped extragradient method with fixed parameters and two new full-gradient evaluations per iteration after one initialization query. The metho...

Min-hao Zhang, Zi Xu · 0 citations

#machine learning Preprint Sep 2026

Matching Multi-Loop Complexities with a Single Loop: Optimal Optimization Stationarity and Best-Known Game Stationarity in Nonconvex--Concave Minimax Optimization

A new single-loop algorithmic framework for smooth nonconvex--concave minimax optimization and a lower bound of $\Omega(L^2D_Y\Delta_\phi\varepsilon^{-3})$ for optimization stationarity over projected zero-respecting first-order methods is established.

Ming-Hao Zhang, Zi Xu · 1 citation