Independent component analysis based on symmetrised scatter matrices

Computational Statistics and Data Analysis

Volumn 51, Issue 10, 2007, Pages 5103-5111

  Taskinen, S ^a   Sirkia S ^a   Oja, H ^b  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b UNIVERSITY OF TAMPERE   (Finland)

Author keywords

Affine equivariance; FastICA; Independence property; Source separation; Symmetrised scatter matrix

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; INDEPENDENT COMPONENT ANALYSIS; PROBLEM SOLVING;

AFFINE EQUIVARIANCE; INDEPENDENCE PROPERTY; SOURCE SEPARATION; SYMMETRISED SCATTER MATRIX;

MATRIX ALGEBRA;

EID: 34247342626     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.07.010     Document Type: Article

References (11)

1. Amari S., Cichocki A., and Yang H.H. A new learning algorithm for blind signal separation. Advances in Neural Information Processing Systems vol. 8 (1996), MIT Press, Cambridge, MA
2. Dümbgen L. On Tyler's M-functional of scatter in high-dimension. Ann. Inst. Statist. Math. 50 (1998) 471-491
3. Huber P.J. Robust Statistics (1981), Wiley, New York
4. Hyvärinen A., and Oja E. A fast fixed-point algorithm for independent component analysis. Neural Comput. 9 7 (1997) 1483-1497
5. Hyvärinen A., Karhunen J., and Oja E. Independent Component Analysis (2001), Wiley, New York
6. Marden X. Some robust estimates of Principal components. Statist. Probab. Lett. 43 (1999) 349-359
7. Maronna R.A. Robust M-estimators of multivariate location and scatter. Ann. Statist. 4 (1976) 51-67
8. Oja, H., Sirkiä, S., Eriksson, J., 2006. Scatter matrices and independent component analysis. Austrian J. Statist. 35, 175-189.
9. Sirkiä, S., Taskinen, S., Oja, H., 2006. Symmetrised M-estimators of scatter. Under revision.
10. Tyler D.E. A distribution-free M-estimator of multivariate scatter. Ann. Statist. 15 (1987) 234-251
11. Visuri S., Koivunen V., and Oja H. Sign and rank covariance matrices. J. Statist. Plann. Inference 91 (2000) 557-575