A canonical correlation neural network for multicollinearity and functional data

Neural Networks

Volumn 17, Issue 2, 2004, Pages 285-293

  Gou, Zhenkun ^a   Fyfe, Colin ^a  

^a UNIVERSITY OF THE WEST OF SCOTLAND   (United Kingdom)

Author keywords

Canonical correlation analysis; Multicollinearity; Partial least squares regression; Robustness; Roughness penalty

Indexed keywords

ALGORITHMS; CORRELATION METHODS; LEAST SQUARES APPROXIMATIONS; ROBUSTNESS (CONTROL SYSTEMS);

CANONICAL CORRELATION ANALYSIS; MULTICOLLINEARITY; RIDGE REGRESSION;

NEURAL NETWORKS;

ALGORITHM; ARTIFICIAL NEURAL NETWORK; CORRELATION ANALYSIS; DATA ANALYSIS; GAIT; HIP; HUMAN; KNEE; PRIORITY JOURNAL; REVIEW; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 1242338180     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2003.07.002     Document Type: Article

References (13)

1. Diamantaras K.I., Kung S.Y. Multilayer neural networks for reduced-rank approximation. IEEE Transactions on Neural Networks. 5:(5):1994;684-697.
2. Fyfe C. Introducing asymmetry into interneuron learning. Neural Computation. 7:(6):1995;1167-1181.
3. Geladi P., Kowalski B. Partial least squares regression: a tutorial. Analytica Chimica Acta. 185:1986;1-17.
4. Gou Z., Fyfe C. A family of networks which perform canonical correlation analysis. International Journal of Knowledge-based Intelligent Engineering. 5:(2):2001;76-82.
5. Horel A.E., Kennard R.W. Ridge regression: biased estimation for nonorthogonal problems. Technometrics. 12:1970;56-67.
6. Höskuldsson A. PLS regression methods. Journal of Chemometrics. 2:1988;211-228.
7. Lai P.L., Fyfe C. A neural network implementation of canonical correlation analysis. Neural Networks. 12:(10):1999;1391-1397.
8. Leurgans S.E., Moyeed R.A., Silverman B.W. Canonical correlation analysis when the data are curves. Journal of the Royal Statistical Society, Series B. 55:(2):1993;725-740.
9. Marida K.V., Kent J.T., Bibby J.M. Multivariate analysis. 1979;Academic Press, London.
10. Olshen R.A., Biden E.N., Wyatt M.P., Sutherland D.H. Gait analysis and the bootstrap. The Annals of Statistics. 17:1989;1419-1440.
11. Ramsay J.O., Silverman B.W. Functional data analysis. 1997;Springer, Berlin.
12. Vinod H.D. Canonical ridge and econometrics of joint production. Journal of Econometrics. 4:1976;147-166.
13. Zhang Q., Leung Y.W. A class of learning algorithms for principal component analysis and minor component analysis. IEEE Transactions on Neural Networks. 11:(1):2000;200-204.