What can make joint diagonalization difficult?

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

Volumn 3, Issue , 2007, Pages

  Afsari, Bijan ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Blind signal processing; Independent component analysis; Joint diagonalization; Sensitivity analysis; Tensor decomposition

Indexed keywords

BLIND SIGNAL PROCESSING; JOINT DIAGONALIZATION; TENSOR DECOMPOSITION;

BLIND SOURCE SEPARATION; COMPUTER SIMULATION; INDEPENDENT COMPONENT ANALYSIS; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

SIGNAL PROCESSING;

EID: 34547547630     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2007.367102     Document Type: Conference Paper

References (10)

1. J. F. Cardoso and A. Soloumiac, "Blind beamforming for non-gaussian signals," IEE Proceedings-F, vol. 140, no. 6, pp. 362-370, Dec 1993.
2. D-T Pham and J. F. Cardoso, "Blind separation of instantaneous mixtures of non stationary sources," IEEE Transactions on Signal Processing, vol. 49, no. 9, pp. 1837-1848, Sep 2001.
3. A. Yeredor, "Non-orthogonal joint diagonalization in the least-squares sence with application in blind source separation," IEEE Transactions on Signal Processing, vol. 50, no. 7, July 2002.
4. A Ziehe, P Laskov, G Nolte, and K R Mueller, "A fast algorithm for joint diagonalization with non-orthogonal transformation and its application to blind source seperation," Journal of Machine Learning Research, vol. 5, pp. 777-800, 2004.
5. L. De Lathauwer, "A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization," SIAM Journal on Matrix Analysis and Applications, vol. 28, no. 3, pp. 642-666, 2006.
6. B. Afsari, "Gradient flow based matrix joint diagonalization for independent componenet analysis," M.S. thesis, Univeristy of Maryland, College Park, May 2004.
7. B. Afsari, "Simple LU and QR based non-orthogonal matrix joint diagonalization.," in ICA, J. P. Rosca, D. Erdogmus, J. C. P., and S. Haykin, Eds. 2006, vol. 3889 of Lecture Notes in Computer Science, pp. 1-7, Springer.
8. J. F. Cardoso, "Perturbation of joint diagonalizers," Tech. Rep. 94D023, Telecom Paris, 1994.
9. J. M.F. ten Berge and N.D. Sidiropoulos, "On uniqueness in CANDECOMP/PARAFAC," Psychometrika, vol. 67, no. 3, pp. 399-409, Sep 2002.
10. B. Afsari, "Sensitivty analysis for the problem of matrix joint diagonalization," SIAM Journal on Matrix Analysis and Applications, under revision.