Skip to main content

Clustering of Signals Using Incomplete Independent Component Analysis

  • Conference paper
Computational Intelligence and Bioinspired Systems (IWANN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3512))

Included in the following conference series:

Abstract

In this paper we propose a new algorithm for the clustering of signals using incomplete independent component analysis (ICA). In the first step we apply the ICA to the dataset without dimension reduction, in the second step we reduce the dimension of the data to find clusters of independent components that are similar in their entries in the mixture matrix found by the ICA. We demonstrate that our algorithm out-performs k-means in the case of toy data and works well with a real world fMRI example, thus allowing a closer look the way how different parts of the brain work together.

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 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. 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 

  2. Hyvärinen, A., Hoyer, P.: Topographic independent component analysis. Neural Computation 13, 1527–1558 (2001)

    Article  MATH  Google Scholar 

  3. Meyer-Bäse, A., Theis, F.J., Lange, O., Puntonet, C.G.: Tree-Dependent and Topographic Independent Component Analysis for fMRI Analysis. In: Puntonet, C.G., Prieto, A.G. (eds.) ICA 2004. LNCS, vol. 3195, pp. 782–789. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Frackowiak, R.S.J., Friston, K.J., Frith, C.D., Dolan, R.J., Mazziotta, J.C.: Human Brain Function. Academic Press, San Diego (1997)

    Google Scholar 

  5. Bell, A.J., Sejnowski, T.J.: An information-maximisation approach to blind separation and blind deconvolution. Neural Computation 7(6), 1129–1159 (1995)

    Article  Google Scholar 

  6. Hyvärinen, A.: Fast and Robust Fixed-Point Algorithms for Independent Component Analysis. IEEE Transactions on Neural Networks 10(3), 626–634 (1999)

    Article  Google Scholar 

  7. Amari, S.: Natural Gradient Learning for Over- and Under-Complete Bases in ICA. Neural Computation 11, 1875–1883 (1999)

    Article  Google Scholar 

  8. Theis, F.J., Jung, A., Puntonet, C.G., Lang, E.W.: Linear geometric ICA: Fundamentals and algorithms. Neural Computation 15, 419–439 (2003)

    Article  MATH  Google Scholar 

  9. Hyvärinen, A., Oja, E.: Independent Component Analysis: Algorithms and Applications. Neural Networks 13(4-5), 411–430 (2000)

    Article  Google Scholar 

  10. Belouchrani, A., Abed-Meraim, K., Cardoso, J.-F., Moulines, E.: A Blind Source Separation Technique Using Second-Order Statistics. IEEE Transactions on Signal Processing 45(2), 434–444 (1997)

    Article  Google Scholar 

  11. McKeown, M.J., Sejnowski, T.J.: Analysis of fmri data by blind separation into independent spatial components. Human Brain Mapping 6, 160–188 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Keck, I.R., Lang, E.W., Nassabay, S., Puntonet, C.G. (2005). Clustering of Signals Using Incomplete Independent Component Analysis. In: Cabestany, J., Prieto, A., Sandoval, F. (eds) Computational Intelligence and Bioinspired Systems. IWANN 2005. Lecture Notes in Computer Science, vol 3512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494669_131

Download citation

  • DOI: https://doi.org/10.1007/11494669_131

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26208-4

  • Online ISBN: 978-3-540-32106-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics