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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PDF Download Page | PDF download Page Link |
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 |
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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 |
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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) |