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

첨도를 이용한 군집성을 가진 고정점 알고리즘의 독립성분분석

  • 조용현 (대구가톨릭대학교 컴퓨터ㆍ정보통신공학부) ;
  • 김아람 (대구가톨릭대학교 대학원 전산통계학과)
  • Published : 2004.06.01

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.

본 논문에서는 첨도가 추가된 뉴우턴법의 고정점 알고리즘에 의한 독립성분분석을 제안하였다. 여기서 첨도의 추가는 유사한 속성을 가지는 성분의 군집화된 분석순서를 얻기 위함이고, 뉴우턴법의 고정점 알고리즘은 성분의 빠른 분석과 우수한 분석성능을 얻기 위함이다. 제안된 독립성분분석을 500개 샘플을 가지는 6개의 혼합신호와 $512\times512$ 픽셀을 가지는 8개의 혼합영상의 분리에 각각 적용하여 실험한 결과, 제안된 기법은 항상 일정한 분석순서를 유지하여 기존의 기법에서 알고리즘의 수행 때마다 랜덤하게 변하는 분석순서의 제약을 해결할 수 있었다. 특히 군집화의 속성을 가진 제안된 독립성분분석은 신호나 영상의 분류나 식별에도 적용할 수 있음을 확인하였다.

Keywords

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