Functional Multiple-Set Canonical Correlation Analysis

被引:12
作者
Hwang, Heungsun [1 ]
Jung, Kwanghee
Takane, Yoshio
Woodward, Todd S. [2 ,3 ]
机构
[1] McGill Univ, Dept Psychol, Montreal, PQ H3A 1B1, Canada
[2] Univ British Columbia, Vancouver, BC V5Z 1M9, Canada
[3] British Columbia Mental Hlth & Addict Res Inst, Vancouver, BC, Canada
关键词
functional data; multiple-set canonical correlation analysis; functional canonical correlation analysis; functional magnetic resonance imaging data; PRINCIPAL COMPONENT ANALYSIS; MUSICAL PERFORMANCE; FACTORIAL; DYNAMICS; CURVES; FUSION; FMRI;
D O I
10.1007/s11336-011-9234-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We propose functional multiple-set canonical correlation analysis for exploring associations among multiple sets of functions. The proposed method includes functional canonical correlation analysis as a special case when only two sets of functions are considered. As in classical multiple-set canonical correlation analysis, computationally, the method solves a matrix eigen-analysis problem through the adoption of a basis expansion approach to approximating data and weight functions. We apply the proposed method to functional magnetic resonance imaging (fMRI) data to identify networks of neural activity that are commonly activated across subjects while carrying out a working memory task.
引用
收藏
页码:48 / 64
页数:17
相关论文
共 50 条
  • [31] Audiovisual synchronization and fusion using canonical correlation analysis
    Sargin, Mehmet Entre
    Yemez, Yuecel
    Erzin, Engin
    Tekalp, A. Murat
    IEEE TRANSACTIONS ON MULTIMEDIA, 2007, 9 (07) : 1396 - 1403
  • [32] Locality Discriminative Canonical Correlation Analysis For Kinship Verification
    Lei, Xiaohui
    Li, Bo
    Xie, Jing
    PROCEEDINGS OF THE 2017 12TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2017, : 1870 - 1874
  • [33] DISTRIBUTED DIFFERENTIALLY-PRIVATE CANONICAL CORRELATION ANALYSIS
    Imtiaz, Hafiz
    Sarwate, Anand D.
    2019 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2019, : 3112 - 3116
  • [34] Generalized Canonical Correlation Analysis: A Subspace Intersection Approach
    Sorensen, Mikael
    Kanatsoulis, Charilaos, I
    Sidiropoulos, Nicholas D.
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2021, 69 : 2452 - 2467
  • [35] A variable selection method in principal canonical correlation analysis
    Ogura, Toru
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2010, 54 (04) : 1117 - 1123
  • [36] Improving the spatial specificity of canonical correlation analysis in fMRI
    Nandy, R
    Cordes, D
    MAGNETIC RESONANCE IN MEDICINE, 2004, 52 (04) : 947 - 952
  • [37] Characterizing nonlinear relationships in functional imaging data using eigenspace maximal information canonical correlation analysis (emiCCA)
    Dong, Li
    Zhang, Yangsong
    Zhang, Rui
    Zhang, Xingxing
    Gong, Diankun
    Valdes-Sosa, Pedro A.
    Xu, Peng
    Luo, Cheng
    Yao, Dezhong
    NEUROIMAGE, 2015, 109 : 388 - 401
  • [38] Non-linear canonical correlation analysis in regional frequency analysis
    Ouali, D.
    Chebana, F.
    Ouarda, T. B. M. J.
    STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2016, 30 (02) : 449 - 462
  • [39] Regularized generalized canonical correlation analysis for multiblock or multigroup data analysis
    Tenenhaus, Arthur
    Tenenhaus, Michel
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 238 (02) : 391 - 403
  • [40] Interpolative biplots applied to principal component analysis and canonical correlation analysis
    Alves, MR
    Oliveira, MB
    JOURNAL OF CHEMOMETRICS, 2003, 17 (11) : 594 - 602