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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…
Convergence Analysis of an Inexact MBA Method for Constrained DC Problems
Ruyu Liu, Shaohua Pan, Shujun Bi
This paper concerns a class of constrained difference-of-convex (DC) optimization problems in which, the constraint functions are continuously differentiable and their gradients ar…
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…
A VMiPG method for composite optimization with nonsmooth term having no closed-form proximal mapping
Taiwei Zhang, Shaohua Pan, Ruyu Liu
This paper concerns the minimization of the sum of a twice continuously differentiable function and a nonsmooth convex function without closed-form proximal mapping. For th…
An inexact LPA for DC composite optimization and application to matrix completions with outliers
Ting Tao, Ruyu Liu, Shaohua Pan
This paper concerns a class of DC composite optimization problems which, as an extension of convex composite optimization problems and DC programs with nonsmooth components, often…
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…