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Independent Components Analysis

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Part of the book series: Perspectives in Neural Computing ((PERSPECT.NEURAL))

Abstract

Independent Components Analysis has recently become an important tool for modelling and understanding empirical datasets. In this chapter we review the theoretical basis of ICA, outline an approach to non-stationary ICA, and describe a number of biomedical case studies. ICA is discussed in the framework of general linear models, which permits comparison with less general methods, such as principal components analysis, and with flexible models, such as neural networks.

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References

  1. Lee, T-W., Girolami, M., Bell, A. J., and Sejnowski, T.J. A unifying information-theoretic framework for independent component analysis. International Journal on Mathematical and Computer Modeling, 1998. (In press).

    Google Scholar 

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

    Article  Google Scholar 

  3. MacKay, D. J. C. Maximum Likelihood and Covariant Algorithms for Independent Component Analysis. Technical report, University of Cambridge, December 1996. Available fromhttp://wol.ra.phy.cam.ac.uk/mackay/

  4. Cardoso, J-F. Infomax and maximum likelihood for blind separation. IEEE Signal Processing Letters, 4(4):1 12–1 14, 1997.

    Article  Google Scholar 

  5. Pham, D. T. Blind separation of instantaneous mixture of sources via an independent component analysis. IEEE Transactions on Signal Processing, 44(11):2668–2779,1996.

    Google Scholar 

  6. Pearlmutter, B., and L. Parra, L. A context-sensitive generalization of ICA. In International Conference on Neural Information Processing, 1996.

    Google Scholar 

  7. Everson, R. M., and Roberts, S. J. ICA: A flexible non-linearity and decorrelating manifold approach. Neural Computation, 1999. (To appear.) Available from http://www.ee.ic.ac.uk/research/neural/everson

    Google Scholar 

  8. Amari, S., Cichocki, A., and Yang, H.. A new learning algorithm for blind signal separation. In D. Touretzky, M. Mozer, and M. Hasselmo, editors, Advances in Neural Information Processing Systems, volume 8, Cambridge MA, 1996. MIT Press, pp. 757–763.

    Google Scholar 

  9. Cardoso, J-F., and Laheld, B. Equivarient adaptive source separation. IEEE Trans. on Signal Processing, 45(2):434–444, 1996.

    Google Scholar 

  10. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. Numerical Recipes in C. Cambridge University Press, 1991.

    Google Scholar 

  11. Roberts, S. J. Independent Component Analysis: Source Assessment and Separation, a Bayesian Approach. IEE Proceedings, Vision, Image and Signal Processing, 1998.

    Google Scholar 

  12. Rajan, J. J., and Rayner, P. J. W. Model order selection for the singular-value decomposition and the discrete Karhunen-Loeve transform using a Bayesian approach. IEE Proceedings - Vision, Image and Signal Processing, 144(2):116–123,1997.

    Article  Google Scholar 

  13. Attias, H. Independent factor analysis. Neural Computation, 1998. In press.

    Google Scholar 

  14. Everson, R. M., and Roberts, S. J. Particle filters for Non-stationary Indpendent Components Analysis. Technical Report TR99–6, Imperial College, 1999. Available fromhttp://www.ee.ic.ac.uk/research/neural/everson

    Google Scholar 

  15. Everson, R. M., and Roberts, S. J. Non-stationary Independent Components Analysis. In Proc. ICANN99. IEE, 1999.

    Google Scholar 

  16. Roberts, S. J., Penny, W., and Rezek, I. Temporal and Spatial Complexity measures for EEG-based Brain-Computer Interfacing. Medical and Biological Engineering & Computing, 1998. In press.

    Google Scholar 

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© 2000 Springer-Verlag London

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Everson, R., Roberts, S.J. (2000). Independent Components Analysis. In: Lisboa, P.J.G., Ifeachor, E.C., Szczepaniak, P.S. (eds) Artificial Neural Networks in Biomedicine. Perspectives in Neural Computing. Springer, London. https://doi.org/10.1007/978-1-4471-0487-2_13

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  • DOI: https://doi.org/10.1007/978-1-4471-0487-2_13

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-005-7

  • Online ISBN: 978-1-4471-0487-2

  • eBook Packages: Springer Book Archive

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