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Author

John C. S. Lui

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Jul 2026

On the Convergence of Stochastic Low-Rank Adaptation

This work proposes LoRA-NSGDM, which finds an $\epsilon$-stationary point with $\mathcal{O}(\epsilon^{-8})$ stochastic oracle complexity, and LoRA-STORM, which improves the stochastic oracle complexity to $\mathcal{O}(\epsilon^{-6})$.

Ru Wang, Chengchang Liu, John C. S. Lui · 1 citation
Preprint Jul 2026

Optimal Convex Optimization with Inexact Second-Order Oracles

This paper shows that AINE can find an $\epsilon$-solution in the inexact second-order oracle (ISO) complexity of $\delta/\epsilon)^{1/2} + (L_2/\epsilon)^{2/7} )$ when the Hessian is $L_2$-Lipschitz continuous, and establishes matching oracle complexity lower bounds for both setups.

Lesi Chen, Chengchang Liu, Luo Luo et al. · 1 citation

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