9 papers
Proximal-Linearized NEP Method for Composite Optimization with Set-Inclusion and Manifold Constraints
Hao He, Ruyu Liu, Shaohua Pan
This paper focuses on difference-of-convex (DC) composite optimization problems with set-inclusion and manifold constraints. We develop an inexact proximal-linearized nonsmooth exa…
A Relaxation Method for Nonsmooth Nonlinear Optimization with Binary Constraints
Lianghai Xiao, Yitian Qian, Shaohua Pan
We study binary optimization problems of the form \( \min_{x\in\{-1,1\}^n} f(Ax-b) \) with possibly nonsmooth loss \(f\). Following the lifted rank-one semidefinite programming (SD…
Convergence analysis of inexact MBA method for constrained upper- optimization problems
Ruyu Liu, Shaohua Pan
This paper concerns a class of constrained optimization problems in which, the objective and constraint functions are both upper-. For such nonconvex and nonsmooth o…
An inexact variable metric proximal linearization method for composite optimization on manifolds
Hao He, Ruyu Liu, Yitian Qian +1
This paper concerns the minimization of the composition of a nonsmooth convex function and a mapping over a -smooth embedded closed submanifo…
GLL-type Nonmonotone Descent Methods Revisited under Kurdyka-Łojasiewicz Property
Yitian Qian, Ting Tao, Shaohua Pan +1
The purpose of this paper is to extend the full convergence results of the classic GLL-type (Grippo-Lampariello-Lucidi) nonmonotone methods to nonconvex and nonsmooth optimization.…
Convergence of ZH-type nonmonotone descent method for Kurdyka-Łojasiewicz optimization problems
Yitian Qian, Ting Tao, Shaohua Pan +1
We propose a novel iterative framework for minimizing a proper lower semicontinuous Kurdyka-Łojasiewicz (KL) function . It comprises a Zhang-Hager (ZH-type) nonmonotone decrease…
Convergence of the majorized PAM method with subspace correction for low-rank composite factorization model
Ting Tao, Yitian Qian, Shaohua Pan
This paper focuses on the convergence certificates of the majorized proximal alternating minimization (PAM) method with subspace correction, proposed in \cite{TaoQianPan22} for the…
An Inexact Projected Regularized Newton Method for Fused Zero-norms Regularization Problems
Yuqia Wu, Shaohua Pan, Xiaoqi Yang
We are concerned with structured -norms regularization problems, with a twice continuously differentiable loss function and a box constraint. This class of problems have a…
An inexact -order regularized proximal Newton method for nonconvex composite optimization
Ruyu Liu, Shaohua Pan, Yitian Qian
This paper concerns the composite problem of minimizing the sum of a twice continuously differentiable function and a nonsmooth convex function. For this class of nonconvex and…