3 papers
math.NA2025
A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction
Weiwei Xu, Weijie Shen, Chang Liu +1
Low-rank matrix approximation plays an important role in various applications such as image processing, signal processing and data analysis. The existing methods require a guess of…
math.NA2024
Two-sided uniformly randomized GSVD for large-scale discrete ill-posed problems with Tikhonov regularizations
Weiwei Xu, Weijie Shen, Zheng-Jian Bai
The generalized singular value decomposition (GSVD) is a powerful tool for solving discrete ill-posed problems. In this paper, we propose a two-sided uniformly randomized GSVD algo…
math.NA2024
Efficient Orthogonal Decomposition with Automatic Basis Extraction for Low-Rank Matrix Approximation
Weijie Shen, Weiwei Xu, Lei Zhu
Low-rank matrix approximation play a ubiquitous role in various applications such as image processing, signal processing, and data analysis. Recently, random algorithms of low-rank…