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International Symposium on Neural Networks

ISNN 2004: Advances in Neural Networks – ISNN 2004 pp 708–713Cite as

The Existence of Spurious Equilibrium in FastICA

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3173))

Abstract

FastICA is a fast fixed-point algorithm proposed by Hyvärinen for Independent Component Analysis (ICA). For the outstanding performance such as fast convergence and robustness, it is now one of the most popular estimate methods. The existence of spurious equilibrium in FastICA is addressed in this paper, which comes from its applications in Blind Source Separation (BSS). Two issues are involved. The first is on the object function and the second is about the fixed-point algorithm, an approximate Newton’s method. Analysis shows the existence of spurious equilibrium, which is the singular point introduced during the algorithm’s derivation. Experimental results show the estimates of spurious equilibria, and improvements are proposed by revising the convergence condition.

Supported by Natural Science Foundation of China (30370416), the Distinguished Young Scholars Fund of China (60225015), Ministry of Science and Technology of China(2001CCA04100) and Ministry of Education of China (TRAPOYT Project).

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References

  1. Hyvärinen, A., Oja, E.: A Fast Fixed-Point Algorithm for Independent Component Analysis. Neural Computation 9, 1483–1492 (1997)

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Author information

Authors and Affiliations

  1. Department of Automatic Control, National University of Defense Technology, Changsha, Hunan, 410073, P.R.C.

    Gang Wang & Dewen Hu

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

    Gang Wang

Authors
  1. Gang Wang
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  2. Dewen Hu
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Editor information

Editors and Affiliations

  1. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, China

    Fu-Liang Yin

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

    Jun Wang

  3. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, Liaoning, China

    Chengan Guo

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© 2004 Springer-Verlag Berlin Heidelberg

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Wang, G., Hu, D. (2004). The Existence of Spurious Equilibrium in FastICA. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_116

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  • DOI: https://doi.org/10.1007/978-3-540-28647-9_116

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22841-7

  • Online ISBN: 978-3-540-28647-9

  • eBook Packages: Springer Book Archive

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