Robust Tensor Principal Component Analysis by Lp-Norm for Image Analysis

被引:0
|
作者
Tang, Ganyi [1 ]
Lu, Guifu [2 ]
Wang, Zhongqun [3 ]
Xie, Yukai [2 ]
机构
[1] Anhui Polytech Univ, AHPU, Sch Comp & Informat, Wuhu, Peoples R China
[2] Anhui Polytech Univ, AHPU, Sch Comp Sci & Informat, Wuhu, Peoples R China
[3] Anhui Polytech Univ, AHPU, Sch Management Engn, Wuhu, Peoples R China
基金
中国国家自然科学基金;
关键词
tensor; principal component analysis ( PCA); TPCA; Lp-norm; outlies; MAXIMIZATION; L1-NORM;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Tensor principal component analysis (TPCA), which can make full use of the spatial relationship of images/videos, is a generalization of the classical principal component analysis (PCA). However, the existing TPCA method is based on the Frobenius-norm, which makes it sensitive to outliers. In order to overcome the drawback of TPCA, in this paper, we proposed a novel Lp-norm based TPCA (TPCA-Lp), which is robust to outliers. We also designed an iterative algorithm to solve the optimization of TPCA-Lp, in which all projection matrices are optimized by turns. Experimental results upon several face databases demonstrate the advantages of the proposed approach.
引用
收藏
页码:568 / 573
页数:6
相关论文
共 50 条
  • [1] Principal Component Analysis by Lp-Norm Maximization
    Kwak, Nojun
    IEEE TRANSACTIONS ON CYBERNETICS, 2014, 44 (05) : 594 - 609
  • [2] The Nonconvex Tensor Robust Principal Component Analysis Approximation Model via theWeighted lp-Norm Regularization
    Li, Minghui
    Li, Wen
    Chen, Yannan
    Xiao, Mingqing
    JOURNAL OF SCIENTIFIC COMPUTING, 2021, 89 (03)
  • [3] Generalized 2-D Principal Component Analysis by Lp-Norm for Image Analysis
    Wang, Jing
    IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (03) : 792 - 803
  • [4] Robust and Sparse Tensor Analysis with Lp-norm Maximization
    Tang, Ganyi
    Lu, Guifu
    Wang, Zhongqun
    PROCEEDINGS OF 2017 8TH IEEE INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING AND SERVICE SCIENCE (ICSESS 2017), 2017, : 751 - 756
  • [5] Feature extraction based on Lp-norm generalized principal component analysis
    Liang, Zhizheng
    Xia, Shixiong
    Zhou, Yong
    Zhang, Lei
    Li, Youfu
    PATTERN RECOGNITION LETTERS, 2013, 34 (09) : 1037 - 1045
  • [6] A Nonlocal Denoising Framework Based on Tensor Robust Principal Component Analysis with lp norm
    Sun, Mengqing
    Zhao, Li
    Zheng, Jingjing
    Xu, Jiawei
    2020 IEEE INTERNATIONAL CONFERENCE ON BIG DATA (BIG DATA), 2020, : 3333 - 3340
  • [7] Block Principle Component Analysis with Lp-norm for Robust and Sparse Modelling
    唐肝翌
    卢桂馥
    JournalofShanghaiJiaotongUniversity(Science), 2018, 23 (03) : 398 - 403
  • [8] Block Principle Component Analysis with Lp-norm for Robust and Sparse Modelling
    Tang G.
    Lu G.
    Journal of Shanghai Jiaotong University (Science), 2018, 23 (3) : 398 - 403
  • [9] Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm
    Lu, Canyi
    Feng, Jiashi
    Chen, Yudong
    Liu, Wei
    Lin, Zhouchen
    Yan, Shuicheng
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2020, 42 (04) : 925 - 938
  • [10] Independent component analysis by lp-norm optimization
    Park, Sungheon
    Kwak, Nojun
    PATTERN RECOGNITION, 2018, 76 : 752 - 760