Regularized multiple-set canonical correlation analysis

Psychometrika

Volumn 73, Issue 4, 2008, Pages 753-775

  Takane, Yoshio ^a   Hwang, Heungsun ^a   Abdi, Hervé ^b  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

G fold cross validation; Generalized singular value decomposition (GSVD); Information integration; Multiple correspondence analysis (MCA); Permutation tests; Prior information; Ridge regression; The Bootstrap method

Indexed keywords

EID: 63049094833     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-008-9065-0     Document Type: Article

References (41)

1. Abdi, H. (2007). Singular value decomposition (SVD) and generalized singular decomposition (GSVD). In N.J. Salkind (Ed.), Encyclopedia of measurement and statistics (pp. 907-912). Thousand Oak: Sage.
2. Abdi, H., & Valentin, D. (2007). The STATIS method. In N.J. Salkind (Ed.), Encyclopedia of measurement and statistics (pp. 955-962). Thousand Oaks: Sage.
3. Adachi, K. (2002). Homogeneity and smoothness analysis for quantifying a longitudinal categorical variable. In S. Nishisato, Y. Baba, H. Bozdogan, & K. Kanefuji (Eds.), Measurement and multivariate analysis (pp. 47-56). Tokyo: Springer.
4. Beck, A. (1996). BDI-II. San Antonio: Psychological Corporation.
5. Carroll, J.D. (1968). A generalization of canonical correlation analysis to three or more sets of variables. In Proceedings of the 76th annual convention of the American psychological association (pp. 227-228).
6. T. Dahl T. Næs 2006 A bridge between Tucker-1 and Carroll's generalized canonical analysis Computational Statistics and Data Analysis 50 3086 3098
7. J. de Leeuw 1982 Generalized eigenvalue problems with posivite semi-definite matrices Psychometrika 47 87 93
8. M.-F. Devaux P. Courcoux E. Vigneau B. Novales 1998 Generalized canonical correlation analysis for the interpretation of fluorescence spectral data Analusis 26 310 316
9. P.J. DiPillo 1976 The application of bias to discriminant analysis Communications in Statistics-Theory and Methods 5 843 859
10. B. Efron 1979 Bootstrap methods: another look at the jackknife Annals of Statistics 7 1 26
11. Fischer, B., Ross, V., & Buhmann, J.M. (2007). Time-series alignment by non-negative multiple generalized canonical correlation analysis. In F. Massuli & S. Mitra (Eds.), Applications of fuzzy set theory (pp. 505-511). Berlin: Springer.
12. J. Friedman 1989 Regularized discriminant analysis Journal of the American Statistical Association 84 165 175
13. S. Gardner J.C. Gower N.J. le Roux 2006 A synthesis of canonical variate analysis, generalized canonical correlation and Procrustes analysis Computational Statistics and Data Analysis 50 107 134
14. Gifi, A. (1990). Nonlinear multivariate analysis. Chichester: Wiley.
15. Greenacre, M.J. (1984). Theory and applications of correspondence analysis. London: Academic Press.
16. A.F. Hoerl R.W. Kennard 1970 Ridge regression: biased estimation for nonorthgonal problems Technometrics 12 55 67
17. P. Horst 1961 Generalized canonical correlations and their applications to experimental data Journal of Clinical Psychology 17 331 347
18. Kroonenberg, P.M. (2008). Applied multiway data analysis. New York: Wiley.
19. Legendre, P., & Legendre, L. (1998). Numerical ecology. Amsterdam: North Holland.
20. M. Maraun K. Slaney J. Jalava 2005 Dual scaling for the analysis of categorical data Journal of Personality Assessment 85 209 217
21. W. Meredith 1964 Rotation to achieve factorial invariance Psychometrika 29 187 206
22. T. Poggio F. Girosi 1990 Regularization algorithms for learning that are equivalent to multilayer networks Science 247 978 982
23. Ramsay, J.O., & Silverman, B.W. (2005). Functional data analysis, 2nd edn. New York: Springer.
24. Rao, C.R., & Mitra, S.K. (1971). Generalized inverse of matrices and its applications. New York: Wiley.
25. Smilde, A., Bro, R., & Geladi, P. (2004). Multi-way analysis: applications in the chemical sciences. New York: Wiley.
26. Sun, Q.-S., Heng, P.-A., Jin, Z., & Xia, D.-S. (2005). Face recognition based on generalized canonical correlation analysis. In D.S. Huang, X.-P. Zhang, & G.-B. Huang (Eds.), Advances in intelligent computing (pp. 958-967). Berlin: Springer.
27. Y. Takane 1980 Analysis of categorizing behavior by a quantification method Behaviormetrika 8 75 86
28. Y. Takane M.A. Hunter 2001 Constrained principal component analysis: a comprehensive theory Applicable Algebra in Engineering, Communication and Computing 12 391 419
29. Y. Takane H. Hwang 2002 Generalized constrained canonical correlation analysis Multivariate Behavioral Research 37 163 195
30. Takane, Y., & Hwang, H. (2006). Regularized multiple correspondence analysis. In M.J. Greenacre & J. Blasius (Eds.), Multiple correspondence analysis and related methods (pp. 259-279). London: Chapman and Hall.
31. Y. Takane H. Hwang 2007 Regularized linear and kernel redundancy analysis Computational Statistics and Data Analysis 52 392 405
32. Takane, Y., & Jung, S. (in press). Regularized partial and/or constrained redundancy analysis. Psychometrika. DOI: 10.1007/s11336-008-9067-y
33. Takane, Y., & Oshima-Takane, Y. (2002). Nonlinear generalized canonical correlation analysis by neural network models. In S. Nishisato, Y. Baba, H. Bozdogan, & K. Kanefuji (Eds.), Measurement and multivariate analysis (pp. 183-190). Tokyo: Springer.
34. Y. Takane H. Yanai 2008 On ridge operators Linear Algebra and Its Applications 428 1778 1790
35. J.M.F. ten Berge 1979 On the equivalence of two oblique congruence rotation methods, and orthogonal approximations Psychometrika 44 359 364
36. ter Braak, C.J.F. (1990). Update notes: CANOCO Version 3.10. Wageningen: Agricultural Mathematics Group.
37. Tikhonov, A.N., & Arsenin, V.Y. (1977). Solutions of ill-posed problems. Washington: Winston.
38. Tillman, B., Dowling, J., & Abdi, H. (2008). Bach, Mozart or Beethoven? Indirect investigations of musical style perception with subjective judgments and sorting tasks. In preparation.
39. M. van de Velden T.H.A. Bijmolt 2006 Generalized canonical correlation analysis of matrices with missing rows: a simulation study Psychometrika 71 323 331
40. van der Burg, E. (1988). Nonlinear canonical correlation and some related techniques. Leiden: DSWO Press.
41. H.D. Vinod 1976 Canonical ridge and econometrics of joint production Journal of Econometrics 4 47 166