Independent Subspace Analysis Using Three Scatter Matrices

被引:0
|
作者
Nordhausen, Klaus [1 ]
Oja, Hannu [1 ]
机构
[1] Univ Tampere, Sch Hlth Sci, FIN-33014 Tampere, Finland
基金
芬兰科学院;
关键词
Independent Component Analysis; Source Separation;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In independent subspace analysis (ISA) one assumes that the components of the observed random vector are linear combinations of the components of a latent random vector with independent subvectors. The problem is then to find an estimate of a transformation matrix to recover the independent subvectors. Regular independent component analysis (ICA) is a special case. In this paper we show how three scatter matrices with the so called block independence property can be used in independent subspace analysis. The procedure is illustrated with a small example.
引用
收藏
页码:93 / 101
页数:9
相关论文
共 50 条
  • [31] Independent subspace analysis is unique, given irreducibility
    Gutch, Harold W.
    Theis, Fabian J.
    INDEPENDENT COMPONENT ANALYSIS AND SIGNAL SEPARATION, PROCEEDINGS, 2007, 4666 : 49 - +
  • [32] Multidimensional independent subspace analysis by natural gradient
    Wang, Fasong
    Zhang, Linrang
    Li, Rui
    Zhou, Yu
    Liu, Nan
    PRZEGLAD ELEKTROTECHNICZNY, 2012, 88 (9B): : 51 - 54
  • [33] Joint Independent Subspace Analysis: Uniqueness and Identifiability
    Lahat, Dana
    Jutten, Christian
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2019, 67 (03) : 684 - 699
  • [34] Blind Signal Separation by Independent Subspace Analysis
    Li Rui
    Chen Baofeng
    ICCSE 2008: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION: ADVANCED COMPUTER TECHNOLOGY, NEW EDUCATION, 2008, : 111 - 116
  • [35] ANALYSIS OF SUBSPACE ITERATION FOR EIGENVALUE PROBLEMS WITH EVOLVING MATRICES
    Saad, Yousef
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2016, 37 (01) : 103 - 122
  • [36] DISCRIMINANT INDEPENDENT COMPONENT ANALYSIS AS A SUBSPACE REPRESENTATION
    Long Fei He Jinsong Ye Xueyi Zhuang Zhenquan Li Bin (Dept of Electronic Science and Technology
    Journal of Electronics(China), 2006, (01) : 103 - 106
  • [37] DISCRIMINANT INDEPENDENT COMPONENT ANALYSIS AS A SUBSPACE REPRESENTATION
    Long Fei He Jinsong Ye Xueyi Zhuang Zhenquan Li Bin Dept of Electronic Science and Technology USTC Hefei China
    Journal of Electronics, 2006, (01) : 103 - 106
  • [38] Extracting sound objects by independent subspace analysis
    Dubnov, S
    VIRTUAL, SYNTHETIC, AND ENTERTAINMENT AUDIO, 2002, : 422 - 426
  • [39] Relative gradient learning for independent subspace analysis
    Choi, Heeyoul
    Choi, Seungjin
    2006 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORK PROCEEDINGS, VOLS 1-10, 2006, : 3919 - +
  • [40] Bounded influence regression using high breakdown scatter matrices
    Christophe Croux
    Stefan Van Aelst
    Catherine Dehon
    Annals of the Institute of Statistical Mathematics, 2003, 55 (2) : 265 - 285