Canonical partial least squares-a unified PLS approach to classification and regression problems

被引:81
作者
Indahl, Ulf G. [1 ,2 ]
Liland, Kristian Hovde [3 ]
Naes, Tormod [4 ]
机构
[1] Norwegian Univ Life Sci, Dept Math Sci & Technol, N-1432 As, Norway
[2] Norwegian Univ Life Sci, Ctr Integrat Genet, N-1432 As, Norway
[3] Norwegian Univ Life Sci, Biostat Sect, N-1432 As, Norway
[4] Nofima Mat AS, NO-1430 As, Norway
关键词
canonical correlation analysis; partial least squares; regression with several responses; discriminant analysis; powered partial least squares; DISCRIMINATION;
D O I
10.1002/cem.1243
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We propose a new data compression method for estimating optimal latent variables in multi-variate classification and regression problems where more than one response variable is available. The latent variables are found according to a common innovative principle combining PLS methodology and canonical correlation analysis (CCA). The suggested method is able to extract predictive information for the latent variables more effectively than ordinary PLS approaches. Only simple modifications of existing PLS and PPLS algorithms are required to adopt the proposed method. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:495 / 504
页数:10
相关论文
共 16 条
[1]   Partial least squares for discrimination [J].
Barker, M ;
Rayens, W .
JOURNAL OF CHEMOMETRICS, 2003, 17 (03) :166-173
[2]   Further aspects of the theory of multiple regression [J].
Bartlett, MS .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1938, 34 :33-40
[3]   Bayesian wavelet regression on curves with application to a spectroscopic calibration problem [J].
Brown, PJ ;
Fearn, T ;
Vannucci, M .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2001, 96 (454) :398-408
[4]  
Burnham AJ, 1996, J CHEMOMETR, V10, P31, DOI 10.1002/(SICI)1099-128X(199601)10:1<31::AID-CEM398>3.0.CO
[5]  
2-1
[6]   SIMPLS - AN ALTERNATIVE APPROACH TO PARTIAL LEAST-SQUARES REGRESSION [J].
DEJONG, S .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1993, 18 (03) :251-263
[7]  
Hastie T., 2008, ELEMENTS STAT LEARNI, V2nd
[8]   A twist to partial least squares regression [J].
Indahl, U .
JOURNAL OF CHEMOMETRICS, 2005, 19 (01) :32-44
[9]   Multivariate strategies for classification based on NIR-spectra -: with application to mayonnaise [J].
Indahl, UG ;
Sahni, NS ;
Kirkhus, B ;
Næs, T .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1999, 49 (01) :19-31
[10]   From dummy regression to prior probabilities in PLS-DA [J].
Indahl, Ulf G. ;
Martens, Harald ;
Naes, Tormod .
JOURNAL OF CHEMOMETRICS, 2007, 21 (12) :529-536