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
  • [41] Multiclass Capped lp-Norm SVM for Robust Classifications
    Nie, Feiping
    Wang, Xiaoqian
    Huang, Heng
    THIRTY-FIRST AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2017, : 2415 - 2421
  • [42] Low-rank tensor train for tensor robust principal component analysis
    Yang, Jing-Hua
    Zhao, Xi-Le
    Ji, Teng-Yu
    Ma, Tian-Hui
    Huang, Ting-Zhu
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 367
  • [43] Novel Algorithms for Lp-Quasi-Norm Principal-Component Analysis
    Chachlakis, Dimitris G.
    Markopoulos, Panos P.
    28TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2020), 2021, : 1045 - 1049
  • [44] Lateral-Slice Sparse Tensor Robust Principal Component Analysis for Hyperspectral Image Classification
    Sun, Weiwei
    Yang, Gang
    Peng, Jiangtao
    Du, Qian
    IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2020, 17 (01) : 107 - 111
  • [45] Block principal component analysis with L1-norm for image analysis
    Wang, Haixian
    PATTERN RECOGNITION LETTERS, 2012, 33 (05) : 537 - 542
  • [46] Robust Principal Component Analysis via Truncated Nuclear Norm Minimization
    张艳
    郭继昌
    赵洁
    王博
    JournalofShanghaiJiaotongUniversity(Science), 2016, 21 (05) : 576 - 583
  • [47] Robust principal component analysis via truncated nuclear norm minimization
    Zhang Y.
    Guo J.
    Zhao J.
    Wang B.
    Journal of Shanghai Jiaotong University (Science), 2016, 21 (5) : 576 - 583
  • [48] CONVERGENCE INVESTIGATION OF MULTIFRACTAL ANALYSIS BASED ON Lp-NORM CONSTRAINT
    Wang, Jian
    Jiang, Wenjing
    Shao, Wei
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (06)
  • [49] Bayesian analysis of the neuromagnetic inverse problem with lp-norm priors
    Auranen, T
    Nummenmaa, A
    Hämäläinen, MS
    Jääskeläinen, IP
    Lampinen, J
    Vehtari, A
    Sams, M
    NEUROIMAGE, 2005, 26 (03) : 870 - 884
  • [50] Image Set Representation with L1-Norm Optimal Mean Robust Principal Component Analysis
    Cao, Youxia
    Jiang, Bo
    Tang, Jin
    Luo, Bin
    IMAGE AND GRAPHICS (ICIG 2017), PT II, 2017, 10667 : 119 - 128