Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4666))

Abstract

A framework named copula component analysis (CCA) for blind source separation is proposed as a generalization of independent component analysis (ICA). It differs from ICA which assumes independence of sources that the underlying components may be dependent by certain structure which is represented by Copula. By incorporating dependency structure, much accurate estimation can be made in principle in the case that the assumption of independence is invalidated. A two phrase inference method is introduced for CCA which is based on the notion of multi-dimensional ICA. Simulation experiments preliminarily show that CCA can recover dependency structure within components while ICA does not.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Comon, P.: Independent component analysis - A new concept? Signal Processing 36, 287–314 (1994)

    Article  MATH  Google Scholar 

  2. Bell, A., Sejnowski, T.: An information-maximization approach to blind separation and blind deconvolution. Neural Comp. 7, 1129–1159 (1995)

    Article  Google Scholar 

  3. Amari, S., Cichocki, A., Yang, H.H.: A new learning algorithm for blind source separation. In: Advances in Neural Information Processing, pp. 757–763. MIT Press, Cambridge (1996)

    Google Scholar 

  4. Cardoso, J.-F., Laheld, B.H.: Equivariant adaptive source separation. IEEE Transactions on Signal Processing 44, 3017–3030 (1996)

    Article  Google Scholar 

  5. Pham, D.T., Garat, P.: Blind separation of mixture of independent sources through a quasi-maximum likelihood approach. IEEE Transactions on Signal Processing 45, 1712–1725 (1997)

    Article  MATH  Google Scholar 

  6. Cardoso, J.-F.: Multidimensional independent component analysis, Acoustics, Speech, and Signal Processing. In: ICASSP 1998. Proceedings of the 1998 IEEE International Conference on, vol. 4, pp. 1941–1944 (1998)

    Google Scholar 

  7. Bach, F.R., Jordan, M.I.: Beyond independent components: Trees and clusters. Journal of Machine Learning Research 4, 1205–1233 (2003)

    Article  MathSciNet  Google Scholar 

  8. Hyvärinen, A., Hoyer, P.O., Inki, M.: Topographic Independent Component Analysis. Neural Computation 13, 1527–1558 (2001)

    Article  MATH  Google Scholar 

  9. Nelsen, R.B.: An Introduction to Copulas. Lecture Notes in Statistics. Springer, New York (1999)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Mike E. Davies Christopher J. James Samer A. Abdallah Mark D Plumbley

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ma, J., Sun, Z. (2007). Copula Component Analysis. In: Davies, M.E., James, C.J., Abdallah, S.A., Plumbley, M.D. (eds) Independent Component Analysis and Signal Separation. ICA 2007. Lecture Notes in Computer Science, vol 4666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74494-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74494-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74493-1

  • Online ISBN: 978-3-540-74494-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics