7 papers
Convergence Analysis of the Restarted Moving-Anchored Extra-Gradient Method in the Absence of Local Lipschitz Continuity
Defeng Sun, Liping Zhang, Wei Zhao
In this paper, we introduce the moving-anchored extra-gradient (MAEG) method for solving monotone inclusion problems involving the sum of a continuous monotone operator and a maxim…
Low-Rank Tensor Completion using Tensor Train Decomposition via Riemannian Optimization on the Quotient Geometry
Zhenlong Hu, Zhongming Chen, Defeng Sun +1
Owing to the effectiveness of Tensor Train (TT) decomposition in managing high-order tensors, low-rank tensor completion within the TT-format has emerged as a prominent research fo…
Factorized low-rank matrix recovery problem, Schatten- quasi-norm, Error bound for critical point, Kurdyka-Łojasiewicz property, Inexact proximal alternating linearized minimization
Yongjun Chen, Defeng Sun, Liping Zhang
The Schatten- quasi-norm is a widely used nonconvex rank surrogate and matrix factorization is an effective approach to reduce computational cost. In this paper, we consider the…
On Error Bounds for Rank-Constrained Affine Matrix Sets
Ruoning Chen, Defeng Sun, Liping Zhang
Rank-constrained matrix problems appear frequently across science and engineering. The convergence analysis of iterative algorithms developed for these problems often hinges on loc…
Unsupervised Feature Selection via Nonnegative Orthogonal Constrained Regularized Minimization
Yan Li, Defeng Sun, Liping Zhang
Unsupervised feature selection has drawn wide attention in the era of big data since it is a primary technique for dimensionality reduction. However, many existing unsupervised fea…
Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy
Zhenzhi Qin, Zhenyu Ming, Defeng Sun +1
Recently, a quaternion tensor product named Qt-product was proposed, and then the singular value decomposition and the rank of a third-order quaternion tensor were given. From a mo…
Efficient Online Prediction for High-Dimensional Time Series via Joint Tensor Tucker Decomposition
Zhenting Luan, Defeng Sun, Haoning Wang +1
Real-time prediction plays a vital role in various control systems, such as traffic congestion control and wireless channel resource allocation. In these scenarios, the predictor u…