no code implementations • 16 Jun 2023 • Zhigang Jia, Jingfei Zhu
In this paper, we present a new robust quaternion tensor completion (RQTC) model to solve this challenging problem and derive the exact recovery theory.
no code implementations • 30 Nov 2022 • Yifen Ke, Changfeng Ma, Zhigang Jia, Yajun Xie, Riwei Liao
Numerical results indicate that the accuracy rate of face recognition on the quaternion model is better than on the red, green and blue channels of color image as well as single channel of gray level images for the same data, when large facial expressions and shooting angle variations are presented.
no code implementations • 17 Dec 2020 • Qiaohua Liu, Zhigang Jia, Yimin Wei
All expressions and upper bounds of these condition numbers unify the ones for the single-dimensional TLSE problem and multidimensional total least squares problem.
Numerical Analysis Numerical Analysis 65F35
no code implementations • 17 Nov 2020 • Zhigang Jia, Qiyu Jin, Michael K. Ng, XiLe Zhao
A new patch group based NSS prior scheme is proposed to learn explicit NSS models of natural color images.
no code implementations • 19 Aug 2020 • Qiaohua Liu, Zhigang Jia
This paper is devoted to condition numbers of the total least squares problem with linear equality constraint (TLSE).
Numerical Analysis Numerical Analysis 65F35
no code implementations • 10 Mar 2018 • Mei-Xiang Zhao, Zhigang Jia, Dunwei Gong
A sample-relaxed two-dimensional color principal component analysis (SR-2DCPCA) approach is presented for face recognition and image reconstruction based on quaternion models.