Analysis of interactions among hidden components for Tucker model

APSIPA ASC 2009 - Asia-Pacific Signal and Information Processing Association 2009 Annual Summit and Conference

Volumn , Issue , 2009, Pages 154-158

  Phan, Anh Huy ^a   Cichocki, Andrzej ^a  

^a RIKEN   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

3D VISUALIZATION; CHEMOMETRICES; ENVIRONMENTAL ANALYSIS; HIGH DIMENSIONALITY; LARGE AMOUNTS OF DATA; MODERN APPLICATIONS; PARAFAC; PHARMACEUTICAL ANALYSIS; SPECTRAL ANALYSIS; TENSOR DECOMPOSITION; TENSOR REPRESENTATION;

DATA PROCESSING; DECOMPOSITION; SPECTRUM ANALYSIS; SPECTRUM ANALYZERS; THREE DIMENSIONAL COMPUTER GRAPHICS; VISUALIZATION;

TENSORS;

EID: 77950549710     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. A. Cichocki, R. Zdunek, A.-H. Phan, and S. Amari, Nonnegative Matrix and Tensor Facorizarions. Chichester: Wiely, 2009.
2. F. Miwakeichi, E. Martnez-Montes, P. Valds-Sosa, N. Nishiyama, H. Mizuhara, and Y. Yamaguchi, "Decomposing EEG data into space-time-frequency components using parallel factor analysis," NeuroImage, vol.22, no.3, pp. 1035-1045, 2004.
3. T. Kolda and B. Bader, "Tensor decompositions and applications," SIAM Review, vol.51, no.3, p. (in print), September 2009.
4. L. Tucker, "Some mathematical notes on three-mode factor analysis," Psychometrika, vol.31, pp. 279-311, 1966.
5. L. De Lathauwer, B. de Moor, and J. Vandewalle, "A multilinear singular value decomposition," SIAM Journal of Matrix Analysis and Applications, vol.21, pp. 1253-1278, 2001.
6. T. Kolda, "Multilinear operators for higher-order decompositions," Sandia National Laboratories, Tech. Rep., 2006. [Online]. Available: http://csmr.ca.sandia.gov/tgkolda/pubs/SAND2006-2081.pdf
7. L. De Lathauwer, B. D. Moor, and J. Vandewalle, "On the best rank-1 and rank-(R1,R2,. . . ,RN) approximation of higher-order tensors," SIAM Journal of Matrix Analysis and Applications, vol.21, no.4, pp. 1324-1342, 2000.
8. M. Friedlander and K. Hatz, "Computing nonnegative tensor factorizations," Computational Optimization and Applications, vol.23, no.4, pp. 631-647, March 2008.
9. M. Mørup, L. Hansen, and S. Arnfred, "Algorithms for Sparse Nonnegative Tucker Decompositions," Neural Computation, vol.20, pp. 2112-2131, 2008. [Online]. Available: http://www2.imm.dtu.dk/pubdb/
10. Y.-D. Kim and S. Choi, "Nonnegative Tucker Decomposition," in Proc. of Conf. Computer Vision and Pattern Recognition (CVPR-2007), Minneapolis, Minnesota, June 2007.
11. Y.-D. Kim, A. Cichocki, and S. Choi, "Nonnegative Tucker Decomposition with Alpha Divergence," in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP2008, Nevada, USA, 2008.
12. A. Phan and A. Cichocki, "Fast and efficient algorithms for nonnegative Tucker decomposition," in Proc. of The Fifth International Symposium on Neural Networks, Springer LNCS-5264, Beijing, China, 24-28, September 2008, pp. 772-782.
13. --, "Local learning rules for nonnegative Tucker decomposition," (submitted), 2009.
14. M. Mørup, L. Hansen, and S. Arnfred, "ERPWAVELAB a toolbox for multi-channel analysis of time-frequency transformed event related potentials," Journal of Neuroscience Methods, vol.161, no.2, pp. 361-368, 2006.
15. M. Mørup, L. K. Hansen, C. S. Herrmann, J. Parnas, and S. M. Arnfred, "Parallel factor analysis as an exploratory tool for wavelet transformed event-related EEG," NeuroImage, vol.29, no.3, pp. 938-947, 2006.
16. H. Bakardjian and A. Cichocki, "Extraction and classification of common independent components in single-trial crossmodal cortical responses," in Proceedings of the 5th Annual Meeting of the International Multisensory Research Forum, Barcelona, Spain, June 2004, pp. 26-27.
17. A. Andersen and W. Rayens, "Structure-seeking multilinear methods for the analysis of fMRI data," NeuroImage, vol.22, pp. 728-739, 2004.
18. E. Martnez-Montes, J. Snchez-Bornot, and P. Valds-Sosa, "Penalized PARAFAC analysis of spontaneous EEG recordings," Statistica Sinica, vol.18, pp. 1449-1464, 2008.
19. Z. Wang, A. Maier, N. Logothetis, and H. Liang, "Single-trial decoding of bistable perception based on sparse nonnegative tensor decomposition," Journal of Computational Intelligence and Neuroscience, vol.30, pp. 1-10, 2008.
20. A. Delorme and S. Makeig, "EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics," Journal of Neuroscience Methods, vol.134, pp. 9-21, 2004.
21. A. Cichocki, Y. Washizawa, T. Rutkowski, H. Bakardjian, A.-H. Phan, S. Choi, H. Lee, Q. Zhao, L. Zhang, and Y. Li, "Noninvasive bcis: Multiway signal-processing array decompositions," Computer, vol.41, no.10, pp. 34-42, 2008.