Parallel factor analysis by means of simultaneous matrix decompositions

IEEE CAMSAP 2005 - First International Workshop on Computational Advances in Multi-Sensor Adaptive Processing

Volumn 2005, Issue , 2005, Pages 125-128

  De Lathauwer, Lieven ^a  

^a Cergy Pontoise University   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SYSTEMS; COMPUTATION THEORY; SENSOR DATA FUSION; TENSORS;

MATRIX DECOMPOSITION; MULTI SENSOR ADAPTIVE PROCESSING; PARALLEL FACTOR ANALYSIS;

MATRIX ALGEBRA;

EID: 33846583717     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CAMAP.2005.1574200     Document Type: Conference Paper

References (15)

1. J. Carroll and J. Chang, "Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition," Psychometrika, vol. 9, pp. 267-283, 1970.
2. R. Harshman, "Foundations of the PARAFAC procedure: Model and conditions for an "explanatory" multi-mode factor analysis," UCLA Working Papers in Phonetics, vol. 16, pp. 1-84, 1970.
3. A. Smilde, R. Bro, and P. Geladi, Multi-way Analysis. Applications in the Chemical Sciences, John Wiley and Sons, Chichester, U.K., 2004.
4. N.D. Sidiropoulos, G.B. Giannakis, and R. Bro, "Blind PARAFAC receivers for DS-CDMA systems," IEEE Trans. on Signal Processing, vol. 48, pp. 810823, March 2000.
5. P. Comon, "Independent component analysis, a new concept?," Signal Process., vol. 36, pp. 287-314, 1994.
6. L. De Lathauwer, B. De Moor, and J. Vandewalle, "An introduction to independent component analysis," J. Chemometrics, vol. 14, pp. 123-149, 2000.
7. M. Rajih and P. Comon, "Enhanced line search: A novel method to accelerate parafac," in Proc. Eusipco'05, Antalya, Turkey, Sept. 2005.
8. S.A. Vorobyov, Y. Rong, N.D. Sidiropoulos, and A.B. Gershman, "Robust iterative fitting of multilinear models," IEEE Trans. Signal Processing, vol. 53, no. 8, pp. 2678-2689, August 2005.
9. L. De Lathauwer, B. De Moor, and J. Vandewalle, "Computation of the canonical decomposition by means of a simultaneous generalized schur decompositition," SIAM J. Matrix Anal. Appl, vol. 26, no. 2, pp. 295-327, 2004.
10. L. De Lathauwer, "A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization," Tech. Rep., ETIS, CNRS UMR 8051, Cergy-Pontoise, France, 2005, submitted.
11. S.E. Leurgans, R.T. Ross, and R.B. Abel, "A decomposition for three-way arrays," SIAM J. Matrix Anal. Appl., vol. 14, pp. 1064-1083, 1993.
12. A.-J. van der Veen and A. Paulraj, "An analytical constant modulus algorithm," IEEE Trans. Signal Processing, vol. 44, no. 5, pp. 1136-1155, May 1996.
13. J.-F. Cardoso, "Super-symmetric decomposition of the fourth-order cumulant tensor. Blind identification of more sources than sensors," in Proc. ICASSP '91, Toronto, Canada, 1991, pp. 3109-3112.
14. J.B. Kruskal, "Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics," Lin. Alg. Appl., vol. 18, pp. 95-138, 1977.
15. T. Jiang and N.D. Sidiropoulos, "Kruskal's permutation lemma and the identification of CANDE-COMP/PARAFAC and bilinear models with constant modulus constraints," IEEE Trans. on Signal Processing, vol. 52, pp. 2625-2636, Sept. 2004.