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Local Stability Analysis of Maximum Nongaussianity Estimation in Independent Component Analysis

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Advances in Neural Networks - ISNN 2006 (ISNN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3971))

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Abstract

The local stability analysis of maximum nongaussianity estimation (MNE) is investigated for nonquadratic functions in independent component analysis (ICA). Using trigonometric function, we first derive the local stability condition of MNE for nonquadratic functions without any approximation as has been made in previous literatures. The research shows that the condition is essentially the generalization of Xu’s one-bit-matching ICA theorem in MNE. Secondly, based on the generalized Gaussian model (GGM), the availability of local stability condition and robustness to outliers are addressed for three typical nonquadratic functions for various distributed independent components.

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Author information

Authors and Affiliations

  1. Telecommunication Engineering Institute, Air Force Engineering University, Xi’an, Shanxi, 710077, P.R.C.

    Gang Wang

  2. College of Mechatronics and Automation, National University of Defense Technology, Changsha, Hunan, 410073, P.R.C.

    Gang Wang, Xin Xu & Dewen Hu

Authors
  1. Gang Wang
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  2. Xin Xu
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  3. Dewen Hu
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

  3. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Zurada

  4. Laboratory for Computational Biology, Shanghai Center for Systems Biomedicine, 800 Dong Chuan Rd., 200240, Shanghai, China

    Bao-Liang Lu

  5. School of Electrical and Electronic Engineering, University of Manchester, UK

    Hujun Yin

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© 2006 Springer-Verlag Berlin Heidelberg

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Wang, G., Xu, X., Hu, D. (2006). Local Stability Analysis of Maximum Nongaussianity Estimation in Independent Component Analysis. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_167

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  • DOI: https://doi.org/10.1007/11759966_167

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34439-1

  • Online ISBN: 978-3-540-34440-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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