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Independent Slow Feature Analysis and Nonlinear Blind Source Separation

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Independent Component Analysis and Blind Signal Separation (ICA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3195))

Abstract

We present independent slow feature analysis as a new method for nonlinear blind source separation. It circumvents the indeterminacy of nonlinear independent component analysis by combining the objectives of statistical independence and temporal slowness. The principle of temporal slowness is adopted from slow feature analysis, an unsupervised method to extract slowly varying features from a given observed vectorial signal. The performance of the algorithm is demonstrated on nonlinearly mixed speech data.

This work has been supported by the Volkswagen Foundation through a grant to LW for a junior research group.

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References

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

    Article  Google Scholar 

  • Blaschke, T., Wiskott, L.: CuBICA: Independent component analysis by simultaneous third- and fourth-order cumulant diagonalization. IEEE Transactions on Signal Processing 52(5) (2004)

    Google Scholar 

  • Blaschke, T., Wiskott, L., Berkes, P.: What is the relation between independent component analysis and slow feature analysis? (2004) (in preparation)

    Google Scholar 

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

    Google Scholar 

  • Cardoso, J.-F., Souloumiac, A.: Jacobi angles for simultaneous diagonalization. SIAM J. Mat. Anal. Appl. 17(1), 161–164 (1996)

    Article  MathSciNet  Google Scholar 

  • Comon, P.: Independent component analysis, a new concept? Signal Processing 36(3), 287–314 (1994); Special issue on Higher-Order Statistics

    Article  Google Scholar 

  • Harmeling, S., Ziehe, A., Kawanabe, M., Müller, K.-R.: Kernel-based nonlinear blind source separation. Neural Computation 15, 1089–1124 (2003)

    Article  Google Scholar 

  • 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 

  • Hyvärinen, A., Pajunen, P.: Nonlinear independent component analysis: existence and uniqueness results. Neural Networks 12(3), 429–439 (1999)

    Article  Google Scholar 

  • Jutten, C., Karhunen, J.: Advances in nonlinear blind source separation. In: Proc. of the 4th Int. Symp. on Independent Component Analysis and Blind Signal Separation (ICA 2003), Nara, Japan, pp. 245–256 (2003)

    Google Scholar 

  • Lee, T.-W., Girolami, M., Sejnowski, T.: Independent component analysis using an extended Infomax algorithm for mixed sub-Gaussian and super-Gaussian sources. Neural Computation 11(2), 409–433 (1999)

    Article  Google Scholar 

  • Molgedey, L., Schuster, G.: Separation of a mixture of independent signals using time delayed correlations. Physical Review Letters 72(23), 3634–3637 (1994)

    Article  Google Scholar 

  • Tong, L., Liu, R., Soon, V.C., Huang, Y.-F.: Indeterminacy and identifiability of blind identification. IEEE Transactions on Circuits and Systems 38(5) (1991)

    Google Scholar 

  • Wiskott, L., Sejnowski, T.: Slow feature analysis: Unsupervised learning of invariances. Neural Computation 14(4), 715–770 (2002)

    Article  Google Scholar 

  • Ziehe, A., Müller, K.-R.: TDSEP – an efficient algorithm for blind separation using time structure. In: 8th International Conference on Artificial Neural Networks (ICANN 1998), pp. 675–680. Springer, Berlin (1998)

    Google Scholar 

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Blaschke, T., Wiskott, L. (2004). Independent Slow Feature Analysis and Nonlinear Blind Source Separation. In: Puntonet, C.G., Prieto, A. (eds) Independent Component Analysis and Blind Signal Separation. ICA 2004. Lecture Notes in Computer Science, vol 3195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30110-3_94

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  • DOI: https://doi.org/10.1007/978-3-540-30110-3_94

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23056-4

  • Online ISBN: 978-3-540-30110-3

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