Robust Tensor Analysis With L1-Norm

被引:163
|
作者
Pang, Yanwei [1 ]
Li, Xuelong [2 ]
Yuan, Yuan [3 ]
机构
[1] Tianjin Univ, Sch Elect Informat Engn, Tianjin 300072, Peoples R China
[2] Chinese Acad Sci, State Key Lab Transient Opt & Photon, Xian Inst Opt & Precis Mech, Xian 710119, Peoples R China
[3] Aston Univ, Sch Engn & Appl Sci, Birmingham B4 7ET, W Midlands, England
基金
中国国家自然科学基金;
关键词
L1-norm; outlier; tensor analysis; APPEARANCE;
D O I
10.1109/TCSVT.2009.2020337
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Tensor analysis plays an important role in modern image and vision computing problems. Most of the existing tensor analysis approaches are based on the Frobenius norm, which makes them sensitive to outliers. In this paper, we propose L1-norm-based tensor analysis (TPCA-L1), which is robust to outliers. Experimental results upon face and other datasets demonstrate the advantages of the proposed approach.
引用
收藏
页码:172 / 178
页数:7
相关论文
共 50 条
  • [21] Notes on quantum coherence with l1-norm and convex-roof l1-norm
    Zhu, Jiayao
    Ma, Jian
    Zhang, Tinggui
    QUANTUM INFORMATION PROCESSING, 2021, 20 (12)
  • [22] Robust capped L1-norm twin support vector machine
    Wang, Chunyan
    Ye, Qiaolin
    Luo, Peng
    Ye, Ning
    Fu, Liyong
    NEURAL NETWORKS, 2019, 114 : 47 - 59
  • [23] Robust L1-norm beamforming for phased array with antenna switching
    Lee, Moon-Sik
    Kim, Yong-Hoon
    IEEE COMMUNICATIONS LETTERS, 2008, 12 (08) : 566 - 568
  • [24] GENERALIZED RECTIFICATION IN THE L1-NORM WITH APPLICATION TO ROBUST ARRAY PROCESSING
    Combernoux, A.
    Ginolhac, G.
    Forster, P.
    19TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO-2011), 2011, : 619 - 623
  • [25] Robust Timing Calibration for PET Using L1-Norm Minimization
    Freese, David L.
    Hsu, David F. C.
    Innes, Derek
    Levin, Craig S.
    IEEE TRANSACTIONS ON MEDICAL IMAGING, 2017, 36 (07) : 1418 - 1426
  • [27] Learning robust principal components from L1-norm maximization
    Dingcheng FENG Feng CHEN Wenli XU Tsinghua National Laboratory for Information Science and TechnologyTsinghua UniversityBeijing China Department of AutomationTsinghua UniversityBeijing China
    JournalofZhejiangUniversity-ScienceC(Computers&Electronics), 2012, 13 (12) : 901 - 908
  • [28] A pure L1-norm principal component analysis
    Brooks, J. P.
    Dula, J. H.
    Boone, E. L.
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 61 : 83 - 98
  • [29] Singular Spectrum Analysis Based on L1-Norm
    Kalantari, Mahdi
    Yarmohammadi, Masoud
    Hassani, Hossein
    FLUCTUATION AND NOISE LETTERS, 2016, 15 (01):
  • [30] Supporting vectors for the l1-norm and the l∞-norm and an application
    Sanchez-Alzola, Alberto
    Garcia-Pacheco, Francisco Javier
    Naranjo-Guerra, Enrique
    Moreno-Pulido, Soledad
    MATHEMATICAL SCIENCES, 2021, 15 (02) : 173 - 187