Enforcing harmonicity and smoothness in bayesian non-negative matrix factorization applied to polyphonic music transcription

IEEE Transactions on Audio, Speech and Language Processing

Volumn 18, Issue 3, 2010, Pages 538-549

  Bertin, Nancy ^a   Badeau, Roland ^a   Vincent, Emmanuel ^b  

^a INSTITUT TELECOM   (France)

^b INRIA   (France)

Author keywords

Audio source separation; Bayesian regression; Music transcription; Non negative matrix factorization (NMF); Unsupervised machine learning

Indexed keywords

AUDIO SOURCE SEPARATION; BAYESIAN REGRESSION; MUSIC TRANSCRIPTION; NONNEGATIVE MATRIX FACTORIZATION; UNSUPERVISED MACHINE LEARNING;

AUDIO ACOUSTICS; BAYESIAN NETWORKS; BLIND SOURCE SEPARATION; FACE RECOGNITION; FACTORIZATION; LEARNING SYSTEMS; LIGHT MEASUREMENT; MARKOV PROCESSES; MATRIX ALGEBRA; SIGNAL ANALYSIS; TRANSCRIPTION;

COMPUTER MUSIC;

EID: 76949083547     PISSN: 15587916     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASL.2010.2041381     Document Type: Article

References (28)

1. T. Virtanen, "Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria," IEEE Trans. Audio, Speech, Lang. Process., vol.15, no.3, pp. 1066-1074, Mar. 2007.
2. B. Wang and M. Plumbley, "Musical audio stream separation by non-negative matrix factorization," in Proc. DMRN Summer Conf., Glasgow, U.K., Jul. 23-24, 2005.
3. A. Cont, "Realtime audio to score alignment for polyphonic music instruments using sparse non-negative constraints and hierarchical HMMs," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'06), Toulouse, France, May 14-17, 2006, pp. 245-248.
4. J. Paulus and T. Virtanen, "Drum transcription with non-negative spectrogram factorisation," in Proc. 13th Eur. Signal Process. Conf. (EUSIPCO), Antalya, Turkey, Sep. 4-8, 2005.
5. P. Smaragdis and J. Brown, "Non-negative matrix factorization for polyphonic music transcription," in Proc. IEEE Workshop Applicat. Signal Process. Audio Acoust. (WASPAA'03), New Paltz, NY, Oct. 19-22, 2003, pp. 177-180.
6. N. Bertin, R. Badeau, and G. Richard, "Blind signal decompositions for automatic transcription of polyphonic music: NMF and K-SVD on the benchmark," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'07), Honolulu, HI, Apr. 15-20, 2007, vol.1, pp. 65-68.
7. D. Lee and H. Seung, "Learning the parts of objects by non-negative matrix factorization," Nature, vol.401, pp. 788-791, Oct. 1999.
8. S. Li, X. Hou, H. Zhang, and Q. Cheng, "Learning spatially localized, parts-based representation," in Proc. 2001 IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognition, Dec. 11-13, 2001, vol.1, pp. 207-212.
9. Y. Zhang and Y. Fang, "A NMF algorithm for blind separation of uncorrelated signals," in Proc. Int. Conf. Wavelet Anal. Pattern Recognition, Beijing, China, Nov. 2-4, 2007, pp. 999-1003.
10. M. Plumbley, "Algorithms for nonnegative independent component analysis," IEEE Trans. Neural Netw., vol.14, no.3, pp. 534-543, Mar. 2003.
11. S. Abdallah and M. Plumbley, "Polyphonic music transcription by non-negative sparse coding of power spectra," in Proc. 5th Int. Conf. Music Inf. Retrieval (ISMIR'04), Barcelona, Spain, Oct. 10-14, 2004, pp. 318-325.
12. P. Hoyer, "Non-negative matrix factorization with sparseness constraints," J. Mach. Learn. Res., vol.5, pp. 1457-1469, Nov. 2004.
13. Z. Chen, A. Cichocki, and T. M. Rutkowski, "Constrained non-negative matrix factorization method for EEG analysis in early detection of Alzheimer's disease," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'06), Toulouse, France, May 14-19, 2006, vol.5, pp. 893-896.
14. C. Févotte, N. Bertin, and J.-L. Durrieu, "Nonnegative matrix factorization with the Itakura-Saito divergence. With application to music analysis," Neural Comput. [Online]. Available: http://www.tsi.enst.fr/ fevotte/TechRep/techrep08 is-nmf.pdf
15. A. Pascual-Montano, J. Carazo, K. Kochi, D. Lehmann, and R. Pascual- Marqui, "Nonsmooth nonnegative matrix factorization (nsNMF)," IEEE Trans. Pattern Anal. Mach. Intell., vol.28, no.3, pp. 403-415, Mar. 2006.
16. E. Vincent, N. Bertin, and R. Badeau, "Harmonic and inharmonic nonnegative matrix factorization for polyphonic pitch transcription," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'08), Las Vegas, NV, Apr. 4, 2008, pp. 109-112.
17. L. Benaroya, L. McDonagh, R. Gribonval, and F. Bimbot, "Non negative sparse representation for Wiener based source separation with a single sensor," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'03), Hong Kong, China, Apr. 6-10, 2003, pp. 613-616.
18. L. Benaroya, R. Blouet, C. Févotte, and I. Cohen, "Single sensor source separation using multiple-window STFT representation," in Proc. Int. Workshop Acoust. Echo Noise Control (IWAENC'06), Paris, France, Sep. 12-14, 2006.
19. T. Virtanen, A. T. Cemgil, and S. Godsill, "Bayesian extensions to nonnegative matrix factorisation for audio signal modeling," in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP'08), Las Vegas, NV, Apr. 4, 2008, pp. 1825-1828.
20. M. Schmidt and H. Laurberg, "Nonnegative matrix factorization with Gaussian process priors," Comput. Intell. Neurosci., 2008.
21. J. A. Fessler and A. O. Hero, "Space-alternating generalized expectation maximization algorithm," IEEE Trans. Signal Process., vol.42, no.10, pp. 2664-2677, Oct. 1994.
22. E. Vincent, N. Bertin, and R. Badeau, "Two nonnegative matrix factorization methods for polyphonic pitch transcription," in Proc. Music Inf. Retrieval Evaluation eXchange (MIREX), Austria, Sep. 23-30, 2007.
23. M. Marolt, "A connectionist approach to automatic transcription of polyphonic piano music," IEEE Trans. Multimedia, vol.6, no.3, pp. 439-449, Jun. 2004.
24. V. Emiya, R. Badeau, and B. David, "Automatic transcription of piano music based on HMM tracking of jointly-estimated pitches," in Proc. Eur. Conf. Sig. Process. (EUSIPCO), Lausanne, Switzerland, Aug. 25-29, 2008.
25. A. Cemgil, H. Kappen, and D. Barber, "A generative model for music transcription," IEEE Trans. Audio, Speech, Lang. Process., vol.14, no.2, pp. 679-694, Mar. 2006.
26. V. Emiya, "Transcription automatique de la musique de piano," Ph.D. dissertation, Institut TELECOM; TELECOM ParisTech, Paris, France, 2008.
27. C. van Rijsbergen, Information Retrieval, 2nd ed. London, U.K.: Butterworths, 1979.
28. M. Ryynänen and A. Klapuri, "Polyphonic music transcription using note event modeling," in Proc. IEEE Workshop Applicat. Signal Process. Audio Acoust., New Paltz, NY, Oct. 2005, pp. 319-322.