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http://dx.doi.org/10.3745/KIPSTB.2004.11B.3.381

Independent Component Analysis of Fixed-Point Algorithm for Clustering Components Using Kurtosis  

Cho, Yong-Hyun (대구가톨릭대학교 컴퓨터ㆍ정보통신공학부)
Kim, A-Ram (대구가톨릭대학교 대학원 전산통계학과)
Abstract
This paper proposes an independent component analysis(ICA) of the fixed-point(FP) algorithm based on Newton method by adding the kurtosis. The kurtosis is applied for clustering the components, and the FP algorithm of Newton method is applied for improving the analysis speed and performance. The proposed ICA has been applied to the problems for separating the 6-mixed signals of 500 samples and 8-mixed images of $512\times512$pixels, respectively. The experimental results show that the proposed ICA has always a fixed analysis sequence. The result can be solved the limit of conventional ICA which has a variable sequence depending on the running of algorithm. Especially, the proposed ICA can be used to classify and identify the signals or the images.
Keywords
Independent Component Analysis; Fixed-Point Algorithm; Kurtosis; Clustering; Blind Source Separation;
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1 A. Hyvarinen, J. Karhunen, and E. Oja, 'Independent Component Analysis,' John Wiley & Sons, Inc., New York, May, 2001
2 T. W. Lee, 'Independent Component Analysis : Theory and Applications,' Kluwer Academic Pub., Boston, Dec., 1998
3 S. Roberts and R. Everson, 'Independent Component Analysis: Principles and Practice,' Cambridge Univ. 2001
4 K. I. Diamantaras and S. Y. Kung, 'Principal Component Neural Networks: Theory and Applications, Adaptive and learning Systems for Signal Processing, Communications, and Control,' John Wiley & Sons, Inc., 1996
5 S. Haykin, 'Neural Networks: A Comprehensive Foundation,' Prentice-Hall, 2ed, London, 1999
6 P. Comon, 'Independent Component Analysis-A New Concept,' Signal Processing, Vol.36, No.3, pp.287-314, Apr., 1994   DOI   ScienceOn
7 Y. H. Cho and Y. S. Park, 'Independent Component Analysis of Fixed Point Algorithm Based on Secant Method,' Proc. of the International Conference on MLMTA'03, Las Vegas, U.S.A., pp.302-306, June, 2003
8 A. Hyvarinen, 'Survey on Independent Component Analysis,' Neural Computing Surveys, Vol.2, pp.94-128, Apr., 1999
9 A. Hyvarinen and E. Oja, 'A Fast Fixed Point Algorithms for Independent Component Analysis,' Neural Computation, 9(7), pp.1483-1492, Oct., 1997   DOI   ScienceOn
10 J. Karhunen, 'Neural Approaches to Independent Component Analysis and Source Separation,' '4th European Symp., Artificial Neural Network, ESANN96, Burges, Belgium, pp.249-266, Apr., 1996
11 K. Atkinson, 'Elementary Numerical Analysis,' John Wiley & Sons, Inc., New York, 1993
12 J. Wesley Hines, 'MATLAB Supplement to Fuzzy and Neural Approaches in Engineering,' John Wiley & Sons, Inc., June, 1997