Skip to main content

Component-Adaptive Priors for NMF

  • Conference paper
  • First Online:
Latent Variable Analysis and Signal Separation (LVA/ICA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9237))

Abstract

Additional priors for nonnegative matrix factorization (NMF) are a powerful way of adapting NMF to specific tasks, such as for example audio source separation. For this application, priors supporting sparseness or temporal continuity have been proposed. However, these priors are not helpful for all kinds of signals and should therefore only be used when needed. For some mixtures, only some components of the mixtures should be supported by these priors. We present an easy, but efficient method of adapting priors to different components. We show, that the separation results are improved, while the computational complexity is even slightly reduced. We also show, that our method is a helpful modification for the combination of different priors.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Becker, J.M., Menzel, M., Rohlfing, C.: Complex SVD initialization for NMF source separation on audio spectrograms. In: DAGA 2015. Nürnberg, Germany (2015)

    Google Scholar 

  2. Becker, J.M., Sohn, C., Rohlfing, C.: NMF with spectral and temporal continuity criteria for monaural sound source separation. In: 2013 Proceedings of the 22nd European Signal Processing Conference (EUSIPCO), pp. 316–320. IEEE (2014)

    Google Scholar 

  3. Canadas-Quesada, F.J., Vera-Candeas, P., Ruiz-Reyes, N., Carabias-Orti, J., Cabanas-Molero, P.: Percussive/harmonic sound separation by non-negative matrix factorization with smoothness/sparseness constraints. EURASIP J. Audio Speech Music Process. 2014(1), 1–17 (2014)

    Article  Google Scholar 

  4. Cichocki, A., Zdunek, R., Phan, A.H., Amari, S.I.: Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation. Wiley, New York (2009)

    Book  Google Scholar 

  5. Jaiswal, R., FitzGerald, D., Barry, D., Coyle, E., Rickard, S.: Clustering NMF basis functions using shifted NMF for monaural sound source separation. In: 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 245–248. IEEE (2011)

    Google Scholar 

  6. Joder, C., Weninger, F., Virette, D., Schuller, B.: A comparative study on sparsity penalties for nmf-based speech separation: beyond lp-norms. In: 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 858–862. IEEE (2013)

    Google Scholar 

  7. Lee, D.D., Seung, H.S.: Algorithms for non-negative matrix factorization. In: Leen, T.K., Dietterich, T.G., Tresp, V. (eds.) Advances in Neural Information Processing Systems, pp. 556–562. MIT Press, Cambridge (2001)

    Google Scholar 

  8. Marxer, R., Janer, J.: Study of regularizations and constraints in NMF-based drums monaural separation. In: International Conference on Digital Audio Effects Conference (DAFx-13) (2013)

    Google Scholar 

  9. Schmidt, M.N., Mørup, M.: Nonnegative matrix factor 2-D deconvolution for blind single channel source separation. In: Rosca, J.P., Erdogmus, D., Príncipe, J.C., Haykin, S. (eds.) ICA 2006. LNCS, vol. 3889, pp. 700–707. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Smaragdis, P.: Non-negative matrix factor deconvolution; extraction of multiple sound sources from monophonic inputs. In: Puntonet, C.G., Prieto, A.G. (eds.) ICA 2004. LNCS, vol. 3195, pp. 494–499. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Spiertz, M., Gnann, V.: Beta divergence for clustering in monaural blind source separation. In: Audio Engineering Society Convention 128. Audio Engineering Society (2010)

    Google Scholar 

  12. Vincent, E., Gribonval, R., Févotte, C.: Performance measurement in blind audio source separation. IEEE 14, 1462–1469 (2006)

    Google Scholar 

  13. Virtanen, T.: Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria. IEEE 15, 1066–1074 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Julian M. Becker .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Becker, J.M., Rohlfing, C. (2015). Component-Adaptive Priors for NMF. In: Vincent, E., Yeredor, A., Koldovský, Z., Tichavský, P. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2015. Lecture Notes in Computer Science(), vol 9237. Springer, Cham. https://doi.org/10.1007/978-3-319-22482-4_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22482-4_48

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22481-7

  • Online ISBN: 978-3-319-22482-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics