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20182025
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math.OC2025

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.…

math.OC2024

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…

math.OC2024

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…

math.OC2023

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…

math.OC2018

Calibrated zero-norm regularized LS estimator for high-dimensional error-in-variables regression

Ting Tao, Shaohua Pan, Shujun Bi

This paper is concerned with high-dimensional error-in-variables regression that aims at identifying a small number of important interpretable factors for corrupted data from many…