Author

Si-Yu Pan

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Preprint Sep 2026

Optimal Deterministic First-Order Oracle Complexity for Nonconvex-Concave Minimax Optimization

We study the deterministic first-order oracle complexity of smooth nonconvex-concave minimax optimization over a bounded convex dual domain. Let $\ell$ denote the joint smoothness constant, $D_{\mathcal{Y}}$ the diameter of the dual domain, and $\Delta$ the initial gap. We prove that every deterministic first-order alg...

Si-Yu Pan, Tao-Li Zheng, Jia-Jin Li · 3 citations

Preprint Aug 2026

Lower Bounds for Nonconvex-P{\L} Minimax Optimization

It is proved that every deterministic first-order method requires $\Omega(\ell\Delta\kappa/\epsilon^2)$ oracle queries in the worst case to find $x$ satisfying $\Phi(0)-\inf_x\Phi(x)$ and that the linear dependence on $\kappa$ is unavoidable for deterministic first-order methods.

Si-Yu Pan, Jia-Jin Li · 4 citations

Preprint Aug 2026

Optimal Deterministic Oracle Complexity for Weakly Convex Optimization

It is proved that every deterministic first-order algorithm requires a first-order oracle that returns both the function value and the full subdifferential at every query point, and establishes the optimal deterministic oracle complexity.

Jia-Jin Li, Si-Yu Pan · 3 citations