Approximation of N-Way Principal Component Analysis for Organ Data

被引:4
|
作者
Itoh, Hayato [1 ]
Imiya, Atsushi [2 ]
Sakai, Tomoya [3 ]
机构
[1] Chiba Univ, Sch Adv Integrat Sci, Chiba, Japan
[2] Chiba Univ, Inst Management & Informat Technol, Chiba, Japan
[3] Nagasaki Univ, Grad Sch Engn, Nagasaki, Japan
来源
COMPUTER VISION - ACCV 2016 WORKSHOPS, PT III | 2017年 / 10118卷
基金
日本学术振兴会;
关键词
D O I
10.1007/978-3-319-54526-4_2
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We apply multilinear principal component analysis to dimension reduction and classification of human volumetric organ data, which are expressed as multiway array data. For the decomposition of multiway array data, tensor-based principal component analysis extracts multilinear structure of the data. We numerically clarify that low-pass filtering after the multidimensional discrete cosine transform efficiently approximates data dimension reduction procedure based on the tensor principal component analysis.
引用
收藏
页码:16 / 31
页数:16
相关论文
共 50 条
  • [1] N-WAY PRINCIPAL COMPONENT ANALYSIS - THEORY, ALGORITHMS AND APPLICATIONS
    HENRION, R
    CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1994, 25 (01) : 1 - 23
  • [2] ANALYSIS OF NONORTHOGONAL N-WAY CLASSIFICATIONS
    PAIK, UB
    FEDERER, WT
    ANNALS OF STATISTICS, 1974, 2 (05): : 1000 - 1021
  • [3] n-Way Metrics
    Warrens, Matthijs J.
    JOURNAL OF CLASSIFICATION, 2010, 27 (02) : 173 - 190
  • [4] n-Way Metrics
    Matthijs J. Warrens
    Journal of Classification, 2010, 27 : 173 - 190
  • [5] MULTIVARIATE METHOD FOR N-WAY QUALITATIVE DATA.
    Iwatsubo, Shuichi
    Denshi Gijutsu Sogo Kenkyusho Kenkyu Hokoku/Researches of the Electrotechnical Laboratory, 1979, (801):
  • [6] N-way speech driven analysis and interaction
    Research Disclosure, 1998, (414):
  • [7] Chemometric analysis of soil pollution data using the Tucker N-way method
    I. Stanimirova
    K. Zehl
    D. L. Massart
    Y. Vander Heyden
    J. W. Einax
    Analytical and Bioanalytical Chemistry, 2006, 385 : 771 - 779
  • [8] Visualization of N-way data using two-dimensional correlation analysis
    Esmonde-White, FLW
    Burns, DH
    VIBRATIONAL SPECTROSCOPY, 2004, 36 (02) : 287 - 292
  • [9] Chemometric analysis of soil pollution data using the Tucker N-way method
    Stanimirova, I.
    Zehl, K.
    Massart, D. L.
    Heyden, Y. Vander
    Einax, J. W.
    ANALYTICAL AND BIOANALYTICAL CHEMISTRY, 2006, 385 (04) : 771 - 779
  • [10] A new criterion for simple-structure transformations of core arrays in N-way principal components analysis
    Henrion, R
    Andersson, CA
    CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1999, 47 (02) : 189 - 204