Presentation 2003/3/11
Dangers of Chaos Game Representation
Tomoya SUZUKI, Tohru IKEGUCHI, Masuo SUZUKI,
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Abstract(in English) Iterative function systems are often used for investigating fractal structures. The method is also referred as Chaos Game Representation (CGR), and is applied for representing characteristic structures of DNA sequences visually. In the present paper, we show spurious existence of characteristic structures of time series, if we apply the CGR to real time series. We reveal that the source of spurious identification comes from nonuniformity of the frequency histograms of the time series, which is often the case of analyzing real time series. We also show how to avoid such spurious identification by using the method of surrogate data and introducing conditional probabilities of the time series.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) chaos game representation / the method of surrogate data / time-series analysis
Paper # NLP2002-147
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Conference Information
Committee NLP
Conference Date 2003/3/11(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dangers of Chaos Game Representation
Sub Title (in English)
Keyword(1) chaos game representation
Keyword(2) the method of surrogate data
Keyword(3) time-series analysis
1st Author's Name Tomoya SUZUKI
1st Author's Affiliation Graduate School of Science, Tokyo University of Science()
2nd Author's Name Tohru IKEGUCHI
2nd Author's Affiliation Graduate School of Science and Engineering, Saitama University
3rd Author's Name Masuo SUZUKI
3rd Author's Affiliation Graduate School of Science, Tokyo University of Science
Date 2003/3/11
Paper # NLP2002-147
Volume (vol) vol.102
Number (no) 725
Page pp.pp.-
#Pages 6
Date of Issue