3 papers
math.OC2026
Randomized Quasi-Gauss--Newton Methods for Solving General Nonlinear Equations
Chengchang Liu, Luo Luo
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 matri…
cs.LG2025
Stochastic Bilevel Optimization with Heavy-Tailed Noise
Zhuanghua Liu, Luo Luo
This paper considers the smooth bilevel optimization in which the lower-level problem is strongly convex and the upper-level problem is possibly nonconvex. We focus on the stochast…
math.OC2024
Incremental Gauss--Newton Methods with Superlinear Convergence Rates
Zhiling Zhou, Zhuanghua Liu, Chengchang Liu +1
This paper addresses the challenge of solving large-scale nonlinear equations with Hölder continuous Jacobians. We introduce a novel Incremental Gauss--Newton (IGN) method within e…