Presentation 2019-05-10
Visibility Graph for marked point process and its application to analyzing structural features of musical composition
Fujia Mao, Yutaka Shimada, Tohru Ikeguchi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Visibility Graph (VG) is a method of time series analysis.By using VG, time series data can be tansformed to a network that partially preserves structural features of corresponding time series data. We can analyze the structures of the time series data through the corresponding network. In this study, to analyze musical composition data, we propose a new method for transforming marked point process data to a network on the basis of VG. We then treat musical composition data as marked point process data and analyze them by using the proposed method. We show that the proposed method is more suitable for analyzing musical composition data than the conventional VG because the proposed method treats not only heights of notes but also duration of notes. We further apply the inter-network distance proposed by Shimada et al. to networks of musical composition data and visualize inter-network distances between musical composition data by the classical muti-dimensional scaling.As a result, structural differences between musical composition are clarified.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) complex networks / inter-network distance / marked point process / visibility graph / classical multidimensional scaling
Paper # NLP2019-9
Date of Issue 2019-05-03 (NLP)

Conference Information
Committee NLP
Conference Date 2019/5/10(2days)
Place (in Japanese) (See Japanese page)
Place (in English) J:COM HoltoHALL OITA
Topics (in Japanese) (See Japanese page)
Topics (in English) etc.
Chair Norikazu Takahashi(Okayama Univ.)
Vice Chair Hiroaki Kurokawa(Tokyo Univ. of Tech.)
Secretary Hiroaki Kurokawa(Hiroshima Inst. of Tech.)
Assistant Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.)

Paper Information
Registration To Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Visibility Graph for marked point process and its application to analyzing structural features of musical composition
Sub Title (in English)
Keyword(1) complex networks
Keyword(2) inter-network distance
Keyword(3) marked point process
Keyword(4) visibility graph
Keyword(5) classical multidimensional scaling
1st Author's Name Fujia Mao
1st Author's Affiliation Tokyo University of Science(TUS)
2nd Author's Name Yutaka Shimada
2nd Author's Affiliation Saitama University(SU)
3rd Author's Name Tohru Ikeguchi
3rd Author's Affiliation Tokyo University of Science(TUS)
Date 2019-05-10
Paper # NLP2019-9
Volume (vol) vol.119
Number (no) NLP-19
Page pp.pp.47-52(NLP),
#Pages 6
Date of Issue 2019-05-03 (NLP)