A three-step algorithm for CANDECOMP/PARAFAC analysis of large data sets with multicollinearity

Journal of Chemometrics

Volumn 12, Issue 3, 1998, Pages 155-171

  Kiers, Henk A L ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

CANDECOMP PARAFAC; Multicollinearity; Three way analysis; Trilinear decomposition

Indexed keywords

ALTERNATING LEAST SQUARES; CANDECOMP/PARAFAC; LARGE DATASETS; LEASTSQUARE ALGORITHM; MULTICOLLINEARITY; REGULARISATION; STEP ALGORITHMS; STEPS PROCEDURE; THREE-WAY ANALYSIS; TRILINEAR DECOMPOSITION;

REGRESSION ANALYSIS;

EID: 0000925933     PISSN: 08869383     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-128X(199805/06)12:3<155::AID-CEM502>3.0.CO;2-5     Document Type: Article

References (21)

1. J. D. Carroll and J.-J. Chang, Psychometrika, 35, 283 (1970).
2. R. A. Harshman, UCLA Working Papers Phonet. 16, 1 (1970).
3. A. K. Smilde, P. H. van der Graaf, D. A. Doornbos, T. Steerneman and A. Sleurink, Anal. Chim. Acta, 235, 41 (1990).
4. S. Leurgans and R. T. Ross, Statist. Sci. 7, 289 (1992).
5. R. Bro and H. Heimdal, Chemometrics Intell. Lab. Syst. 34, 85 (1996).
6. B. C. Mitchell and D. S. Burdick, J. Chemometrics, 8, 155 (1994).
7. J. B. Kruskal, R. A. Harshman and M. E. Lundy, in Multiway Data Analysis, ed. by R. Coppi and S. Bolasco, p. 115, Elsevier, Amsterdam 1989.
8. J. R. Schott, Matrix Analysis for Statistics, Wiley, New York (1997).
9. P. Paatero, Chemometrics Intell. Lab. Syst. 38, 223 (1997).
10. C. J. Appellof and E. R. Davidson, Anal. Chem. 53, 2053 (1981).
11. B. K. Alsberg and O. M. Kvalheim, Chemometrics Intell. Lab. Syst. 24, 43 (1994).
12. H. A. L. Kiers and R. A. Harshman, Chemometrics Intell. Lab. Syst. 36, 31 (1997).
13. R. Bro and C. A. Andersson, Chemometrics Intell. Lab. Syst. in press.
14. H. A. L. Kiers and A. K. Smilde, J. Chemometrics, 12, 125 (1998).
15. J. D. Carroll, S. Pruzansky and J. B. Kruskal, Psychometrika, 45, 3 (1980).
16. P. M. Kroonenberg and J. de Leeuw, Psychometrika, 45, 69 (1980).
17. MATLAB, Mathworks Inc. Natick, MA (1992).
18. L. R. Tucker, Personnel Research Section Report 984, Department of the Army, Washington, DC (1951).
19. R. Bro, Chemometrics Intell. Lab. Syst. 38, 149 (1997).
20. R. Bro, Doctoral Dissertation, University of Amsterdam (1998).
21. P. K. Hopke, P. Paatero, H. Jia, R. T. Ross and R. A. Harshman, Chemometrics Intell. Lab. Syst. in press.