20 citations · 54 across the 15 of their papers we have counts for
10 papers · 1 filter
Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
Guangjing Song, Weiyang Ding, Michael K. Ng
Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue chan…
Riemannian Conjugate Gradient Descent Method for Third-Order Tensor Completion
Guang-Jing Song, Xue-Zhong Wang, Michael K. Ng
The goal of tensor completion is to fill in missing entries of a partially known tensor under a low-rank constraint. In this paper, we mainly study low rank third-order tensor comp…
Image Denoising by Gaussian Patch Mixture Model and Low Rank Patches
Jing Guo, Shuping Wang, Chen Luo +2
Non-local self-similarity based low rank algorithms are the state-of-the-art methods for image denoising. In this paper, a new method is proposed by solving two issues: how to impr…
Tangent Space Based Alternating Projections for Nonnegative Low Rank Matrix Approximation
Guangjing Song, Michael K. Ng, Tai-Xiang Jiang
In this paper, we develop a new alternating projection method to compute nonnegative low rank matrix approximation for nonnegative matrices. In the nonnegative low rank matrix appr…
Dictionary Learning with Low-rank Coding Coefficients for Tensor Completion
Tai-Xiang Jiang, Xi-Le Zhao, Hao Zhang +1
In this paper, we propose a novel tensor learning and coding model for third-order data completion. Our model is to learn a data-adaptive dictionary from the given observations, an…
Tensor train rank minimization with nonlocal self-similarity for tensor completion
Meng Ding, Ting-Zhu Huang, Xi-Le Zhao +2
The tensor train (TT) rank has received increasing attention in tensor completion due to its ability to capture the global correlation of high-order tensors ().…