Nonnegative matrix and tensor factorization

IEEE Signal Processing Magazine

Volumn 25, Issue 1, 2008, Pages 142-145

  Cichocki, Andrzej ^a,b   Zdunek, Rafal ^a,c   Amari, Shun Ichi ^a  

^a RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^c WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FACTORIZATION; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; NEWTON-RAPHSON METHOD; TENSORS;

FIXED POINT ALTERNATING LEAST SQUARE ALGORITHM; MULTIPLICATIVE ALGORITHM; NONNEGATIVE MATRIX FACTORIZATION; NONNEGATIVE TENSOR FACTORIZATION; PROJECTED GRADIENT; QUASI-NEWTON ALGORITHM;

SIGNAL PROCESSING;

EID: 85032751966     PISSN: 10535888     EISSN: None     Source Type: Journal    
DOI: 10.1109/MSP.2008.4408452     Document Type: Article

References (10)

1. D.D. Lee and H.S. Seung, "Learning the parts of objects by nonnegative matrix factorization," Nature, vol. 401, pp. 788-791, Oct. 1999.
2. M.W. Berry, M. Browne, A.N. Langville, V.P. Pauca, and R.J. Plemmons, "Algorithms and applications for approximate nonnegative matrix factorization," Computational Statistics and Data Analysis, 2007, in press: Doi:10.1016/j.csda.2006.11.006.
3. P. Sajda, S. Du, T.R. Brown, R. Stoyanova, D.C. Shungu, X. Mao, and L.C. Parra, "Nonnegative matrix factorization for rapid recovery of constituent spectra in magnetic resonance chemical shift imaging of the brain," IEEE Trans. Medical Imaging, vol. 23, no. 12, pp. 1453-1465, 2004.
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6. R. Zdunek and A. Cichocki, "Nonnegative matrix factorization with constrained second-order optimization," Signal Processing, vol. 87, no. 8, pp. 1904-1916, 2007.
7. I. Dhillon and S. Sra, "Generalized nonnegative matrix approximations with Bregman divergences," in Proc. Advances in Neural Information Processing Systems (NIPS), Vancouver, Canada, Dec. 2005, pp. 283-290.
8. A. Cichocki, R. Zdunek, S. Choi, R. Plemmons, and S.-I. Amari, "Novel multi-layer nonnegative tensor factorization with sparsity constraints," Springer LNCS, vol. 4432, pp. 271-280, 2007.
9. C.-J. Lin, "Projected gradient methods for non-negative matrix factorization," Neural Computation, vol. 19, no. 10, pp. 2756-2779, 2007.
10. A. Cichocki, R. Zdunek, and S.-I. Amari, "Hierarchical ALS algorithms for nonnegative matrix and 3D tensor factorization," Springer LNCS vol. 4666, pp. 169-176, 2007.