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An Approach of Moment-Based Algorithm for Noisy ICA Models

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

Abstract

Factor analysis is well known technique to uncorrelate observed signals with Gaussina noises before ICA (Independent Component Analysis) algorithms are applied. However, factor analysis is not applicable when the number of source signals are more than that of Ledermann’s bound, and when the observations are contaminated by non-Gaussian noises. In this paper, an approach is proposed based on higher-order moments of signals and noises in order to overcome those constraints.

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References

  1. Ikeda, S., Toyama, K.: Independent componenta fast fixed-point algorithm for independent component analysi analysis for noisy data - MEG data analysis. Neural Networks 13, 1063–1074 (2000)

    Article  Google Scholar 

  2. Kawanabe, M., Murata, N.: Independent component analysis in the presence of gaussian noise based on estimating functions. In: Proceedings of East Asian Symposium on Statistics, University of Tokyo, Peking University and Seoul National University, Tokyo, pp. 105–112 (2000)

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  3. Kano, Y., Miyamoto, Y., Shimizu, S.: Factor rotation and ica. In: Proceedings of Fourth International Symposium on Independent Component Analysis and Blind Signal Separation (ICA 2003), pp. 101–105 (2003)

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  4. Ledermann, W.: On the rank of the reduced correlation matrix in multiple factor analysis. Psychometrika, 85–93 (1937)

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  5. Shimizu, S., Kano, Y.: Examination of independence in independent component analysis. Springer, Tokyo (2003)

    Book  Google Scholar 

  6. Akuzawa, T., Murata, N.: Multiplicative nonholonomic/newton -like algorithm. Chaos Solitons & Fractals 12, 785–793 (2001)

    Article  MathSciNet  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Ito, D., Murata, N. (2004). An Approach of Moment-Based Algorithm for Noisy ICA Models. 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_44

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  • DOI: https://doi.org/10.1007/978-3-540-30110-3_44

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23056-4

  • Online ISBN: 978-3-540-30110-3

  • eBook Packages: Springer Book Archive

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