Empirical bayes linear regression with unknown model order

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 3, Issue , 2007, Pages

  Selén, Yngve ^a   Larsson, Erik G ^b  

^a UPPSALA UNIVERSITY   (Sweden)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Bayes procedures; Least mean square methods; Linear systems; Modeling; Parameter estimation

Indexed keywords

BAYESIAN NETWORKS; LINEAR SYSTEMS; MEAN SQUARE ERROR; NUMERICAL METHODS; PARAMETER ESTIMATION; VECTOR QUANTIZATION;

BAYES PROCEDURES; BAYESIAN ORDER SELECTION STRATEGY (BOSS); BAYESIAN PARAMETER ESTIMATION METHOD (BPM); COEFFICIENT VARIANCE PROFILE; LEAST MEAN SQUARE METHODS;

LINEAR REGRESSION;

EID: 34547494566     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2007.366794     Document Type: Conference Paper

References (13)

1. F. Gustafsson and H. Hjalmarsson, "Twenty-one ML Estimators for Model Selection," Automatica, vol. 31, pp. 1377-1392, 1995.
2. H. Hjalmarsson and F. Gustafsson, "Composite modeling of transfer functions," IEEE Transactions on Automatic Control, vol. 40, pp. 820-832, May 1995.
3. E. G. Larsson and Y. Seien, "Linear regression with a sparse parameter vector," IEEE Transactions on Signal Processing, 2006. To Appear: http://www.ee.kth.se/php/modules/publications/reports/2006/IR-EE-KT. 2006.013.pdf.
4. Y. Selén and E. G. Larsson, "Parameter estimation and order selection for linear regression problems," in 14th EUSIPCO, (Florence, Italy), September 4-8 2006.
5. L. Wasserman, "Bayesian model selection and model averaging," Journal of Mathematical Psychology, vol. 44, pp. 92-107, March 2000.
6. P. Stoica and Y. Selén, "Model-order selection -A review of information criterion rules," IEEE Signal Processing Magazine, vol. 21, pp. 36-17, July 2004.
7. T. Söderström and P. Stoica, System Identification. London, UK: Prentice Hall International, 1989.
8. C. Févotte and S.J. Godsill, "Sparse linear regression in unions of bases via Bayesian variable selection," IEEE Signal Processing Letters, vol. 13, pp. 441-444, July 2006.
9. A. A. M. Saleh and R. A. Valenzuela, "A statistical model for indoor multipath propagation," IEEE Journal on Selected Areas in Communications, vol. 5, pp. 128-137, February 1987.
10. A. E. Tikhonov, "Solution of incorrectly formulated problems and the regularization method," Soviet. Math. Dokl., vol. 4, pp. 1035-1038, 1963.
11. P. C. Hansen, "Analysis of discrete ill-posed problems by means of the L-curve," SIAM Review, vol. 34, pp. 561-580, December 1992.
12. J. E. Cavanaugh, "Unifying the derivations for the Akaike and corrected Akaike information criteria," Statistics and Probability Letters, vol. 33, pp. 201-208, April 1977.
13. G. Schwarz, "Estimating the dimension of a model," Annals of Statistics, vol. 6, pp. 461-464, 1978.