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Robust Second-Order Source Separation Identifies Experimental Responses in Biomedical Imaging

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Latent Variable Analysis and Signal Separation (LVA/ICA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6365))

Abstract

Multidimensional biomedical imaging requires robust statistical analyses. Corresponding experiments such as EEG or FRAP commonly result in multiple time series. These data are classically characterized by recording response patterns to any kind of stimulation mixed with any degree of noise levels. Here, we want to detect the underlying signal sources such as these experimental responses in an unbiased fashion, and therefore extend and employ a source separation technique based on temporal autodecorrelation. Our extension first centers the data using a multivariate median, and then separates the sources based on approximate joint diagonalization of multiple sign autocovariance matrices.

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References

  1. Oja, H., Sirkiä, S., Eriksson, J.: Scatter matrices and independent component analysis. Austrian Journal of Statistics 35(2), 175–189 (2006)

    Google Scholar 

  2. Nordhausen, K., Oja, H., Ollila, E.: Robust independent component analysis based on two scatter matrices. Austrian Journal of Statistics 37(1), 91–100 (2008)

    Google Scholar 

  3. Fekete, S., Mitchell, J., Weinbrecht, K.: On the continuous weber and k-median problems. In: Proc. sixteenth SoCG, pp. 70–79 (2000)

    Google Scholar 

  4. Weber, A.: Über den Standort der Industrien. Tübingen (1909)

    Google Scholar 

  5. Dudley, R.: Department of mathematics, MIT, course 18.465 (2005)

    Google Scholar 

  6. Weiszfeld, E.: Sur le point par lequel la somme des distances de n points donnés est minimum. Tohoku Mathematics Journal 43, 355–386 (1937)

    Google Scholar 

  7. Vardi, Y., Zhang, C.H.: The multivariate L 1-median and associated data depth. Proc. Nat. Acad. Sci. USA 97(4), 1423–1426 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  8. Visuri, S., Koivunen, V., Oja, H.: Sign and rank covariance matrices and rank covariance matrices. Journal of Statistical Planning and Inference 91(2), 557–575 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kirshner, S., Poczos, B.: ICA and ISA using schweizer-wolff measure of dependence. In: Proc. ICML 2008, vol. 307 (2008)

    Google Scholar 

  10. Tong, L., Liu, R.W., Soon, V., Huang, Y.F.: Indeterminacy and identifiability of blind identification. IEEE Transactions on Circuits and Systems 38, 499–509 (1991)

    Article  MATH  Google Scholar 

  11. Belouchrani, A., Meraim, K.A., Cardoso, J.F., Moulines, E.: A blind source separation technique based on second order statistics. IEEE Transactions on Signal Processing 45(2), 434–444 (1997)

    Article  Google Scholar 

  12. Cardoso, J., Souloumiac, A.: Blind beamforming for non gaussian signals. IEE Proceedings - F 140(6), 362–370 (1993)

    Google Scholar 

  13. Iannetti, G.D., Zambreanu, L., Cruccu, G., Tracey, I.: Operculoinsular cortex encodes pain intensity at the earliest stages of cortical processing as indicated by amplitude of laser-evoked potentials in humans. Neuroscience 131, 199–208 (2005)

    Article  Google Scholar 

  14. Wedlich-Söldner, R., Wai, S.C., Schmidt, T., Li, R.: Robust cell polarity is a dynamic state established by coupling transport and GTPase signaling. J. Cell Biol. 166, 889–900 (2004)

    Article  Google Scholar 

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© 2010 Springer-Verlag Berlin Heidelberg

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Theis, F.J., Müller, N.S., Plant, C., Böhm, C. (2010). Robust Second-Order Source Separation Identifies Experimental Responses in Biomedical Imaging. In: Vigneron, V., Zarzoso, V., Moreau, E., Gribonval, R., Vincent, E. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2010. Lecture Notes in Computer Science, vol 6365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15995-4_58

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  • DOI: https://doi.org/10.1007/978-3-642-15995-4_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15994-7

  • Online ISBN: 978-3-642-15995-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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