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A COMPARISON OF TWO FLUCTUATION ANALYSES FOR NATURAL LANGUAGE CLUSTERING PHENOMENA —TAYLOR vs. EBELING & NEIMAN METHODS—

Kumiko Tanaka-Ishii and Shuntaro Takahashi ()
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Kumiko Tanaka-Ishii: Research Center for Advanced Science and Technology, University of Tokyo, Japan
Shuntaro Takahashi: Research Center for Advanced Science and Technology, University of Tokyo, Japan

FRACTALS (fractals), 2021, vol. 29, issue 02, 1-16

Abstract: This paper considers the fluctuation analysis methods of Taylor and Ebeling & Neiman. While both have been applied to various phenomena in the statistical mechanics domain, their similarities and differences have not been clarified. After considering their analytical aspects, this paper presents a large-scale application of these methods to text. It is found that both methods can distinguish real text from independently and identically distributed (i.i.d.) sequences. Furthermore, it is found that the Taylor exponents acquired from words can roughly distinguish text categories; this is also the case for Ebeling and Neiman exponents, but to a lesser extent. Additionally, both methods show some possibility of capturing script kinds.

Keywords: Fluctuation Analyses; Natural Language; Clustering Phenomena; Taylor’s Law (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X2150033X

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