3 papers
math.OC2025
OFF (Proximal) Newton-type Methods with Inexact Derivatives for Unconstrained Optimization
Hong Zhu
In this paper, we propose objective-function-free (OFF) variants of the proximal Newton method for nonconvex composite optimization problems and the regularized Newton method for u…
math.OC2024
An Inexact Proximal Newton Method for Nonconvex Composite Minimization
Hong Zhu
In this paper, we propose an inexact proximal Newton-type method for nonconvex composite problems. We establish the global convergence rate of the order in…
math.OC2024
A Stochastic Block-coordinate Proximal Newton Method for Nonconvex Composite Minimization
Hong Zhu, Xun Qian
This paper presents a stochastic block-coordinate proximal Newton method for minimizing the sum of a blockwise Lipschitz-continuously differentiable function and a separable nonsmo…