Convergence-guaranteed multiplicative algorithms for nonnegative matrix factorization with β-divergence

Proceedings of the 2010 IEEE International Workshop on Machine Learning for Signal Processing, MLSP 2010

Volumn , Issue , 2010, Pages 283-288

  Nakano, Masahiro ^a   Kameoka, Hirokazu ^b   Le Roux, Jonathan ^b   Kitano, Yu ^a   Ono, Nobutaka ^a   Sagayama, Shigeki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b Nippon Telegraph and Telephone Corporation   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AUXILIARY FUNCTIONS; CONVERGENCE SPEED; NONNEGATIVE MATRIX FACTORIZATION;

ALGORITHMS; FACTORIZATION; LEARNING SYSTEMS; MATRIX ALGEBRA; SIGNAL PROCESSING;

CONVERGENCE OF NUMERICAL METHODS;

EID: 78449276257     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MLSP.2010.5589233     Document Type: Conference Paper

References (16)

1. D. D. Lee and H. S. Seung, "Learning the parts of objects by non-negative matrix factorization," Nature, vol. 401, pp. 788-791, Oct. 1999.
2. T. Virtanen, "Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria," IEEE Transactions on Audio, Speech, and Language Processing, vol. 15, pp. 1066-1074, Mar. 2007.
3. D. FitzGerald, M. Cranitch, and E. Coyle, "On the use of the beta divergence for musical source separation," in Proc. of Irish Signals and Systems Conference, 2009.
4. H. Kameoka, N. Ono, K. Kashino, and S. Sagayama, "Complex NMF: A new sparse representation for acoustic signals," in Proc. of International Conference on Acoustics, Speech and Signal Processing, 2009, pp. 3437-3440.
5. S. A. Raczynski, N. Ono, and S. Sagayama, "Extending nonnegative matrix factorization - a discussion in the context of multipitch frequency estimation of musical signals," in Proc. of European Signal Processing Conference, Aug. 2009, pp. 934-938.
6. S. Eguchi and Y. Kano, "Robustifying maximum likelihood estimation," Tokyo Institute of Statistical Mathematics, Tech. Rep., 2001.
7. A. Cichocki, R. Zdunek, and S. Amari, "Csiszárs divergences for non-negativematrix factorization : Family of new algorithms," in Proc. Int. Conf. Independent Component Analysis and Blind Signal Separation, Mar. 2006, pp. 32-39.
8. R. Hennequin, R. Badeau, and B. David, "NMF with time-frequency activations to model non stationary audio events," in Proc. International Conference on Acoustics, Speech and Signal Processing, Mar. 2010, pp. 445-448.
9. N. Bertin, R. Badeau, and E. Vincent, "Enforcing harmonicity and smoothness in Bayesian non-negative matrix factorization applied to polyphonic music transcription," IEEE Trans. on Audio, Speech, and Language Processing, pp. 538-549, 2010.
10. D. D. Lee and H. S. Seung, "Algorithms for non-negative matrix factorization," in Proc. of the Conference on Advances in Neural Information Processing Systems, vol. 13, Dec. 2001, pp. 556-562.
11. R. Kompass, "A generalized divergence measure for nonnegative matrix factorization," Neural Computation, vol. 19, no. 3, pp. 780-791, Mar. 2007.
12. R. Badeau, N. Bertin, and E. Vincent, "On the stability of multiplicative update algorithms. application to non-negative matrix factorization," in Telecom Paris-Tech, Technical report, 2009.
13. C. Févotte and A. T. Cemgil, "Nonnegative matrix factorizations as probabilistic inference in composite models," in Proc. European Signal Processing Conference, vol. 47, 2009, pp. 1913-1917.
14. C. Févotte, N. Bertin, and J.-L. Durrieu, "Nonnegative matrix factorization with the Itakura-Saito divergence. with application to music analysis," Neural Computation, vol. 21, pp. 793-830, Mar. 2009.
15. H. Kameoka, N. Ono, and S. Sagayama, "Auxiliary function approach to parameter estimation of constrained sinusoidal model," in Proc. of International Conference on Acoustics, Speech and Signal Processing, Apr. 2008, pp. 29-32.
16. M. Goto, H. Hashiguchi, T. Nishimura, and R. Oka, "RWC music database: Popular, classical, and jazz music database," in Proc. International Conference on Music Information Retrieval, 2002, pp. 287-288.