Author

Luo Luo

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Preprint Aug 2026

Randomized Quasi-Gauss--Newton Methods for Solving General Nonlinear Equations

This paper considers the local convergence for solving general nonlinear equations. We establish randomized quasi-Gauss--Newton methods based on the approximation of the Gram matrix, addressing both the underdetermined and the overdetermined settings. For the underdetermined case, we show that our methods achieve local...

Chengchang Liu, Luo Luo · 0 citations

#machine learning Sep 2025

Stochastic Bilevel Optimization with Heavy-Tailed Noise

This paper considers the smooth bilevel optimization in which the lower-level problem is strongly convex and the upper-level problem is possibly nonconvex and proposes a nested-loop normalized stochastic bilevel approximation (N$^2$SBA) for finding an $\epsilon$-stationary point with the stochastic first-order oracle (...

Zhuang-Hua Liu, Luo Luo · arXiv.org · 4 citations · ⚡1