6 citations · 45 across the 36 of their papers we have counts for
6 papers · 1 filter
Twice epi-differentiablity and parabolic regularity of a class of non-amenable functions
Yulan Liu, Shaohua Pan
This paper concerns the twice epi-differentiability and parabolic regularity of a class of non-amenable functions, the composition of a piecewise twice differentiable (PWTD) functi…
On the local convergence of the semismooth Newton method for composite optimization
Jiang Hu, Tonghua Tian, Shaohua Pan +1
In this paper, we consider a large class of nonlinear equations derived from first-order type methods for solving composite optimization problems. Traditional approaches to establi…
A Superlinear Convergence Framework for Kurdyka-Łojasiewicz Optimization
Yitian Qian, Shaohua Pan
This work extends the iterative framework proposed by Attouch et al. (in Math. Program. 137: 91-129, 2013) for minimizing a nonconvex and nonsmooth function so that the generat…
An inexact regularized proximal Newton method for nonconvex and nonsmooth optimization
Ruyu Liu, Shaohua Pan, Yuqia Wu +1
This paper focuses on the minimization of a sum of a twice continuously differentiable function and a nonsmooth convex function. An inexact regularized proximal Newton method i…
A regularized Newton method for -norm composite optimization problems
Yuqia Wu, Shaohua Pan, Xiaoqi Yang
This paper is concerned with -norm regularized minimization problems with a twice continuously differentiable loss function. For this class of nonconvex and nonsmo…
Convergence of a class of nonmonotone descent methods for KL optimization problems
Yitian Qian, Shaohua Pan
This paper is concerned with a class of nonmonotone descent methods for minimizing a proper lower semicontinuous KL function , which generates a sequence satisfying a nonmonoton…