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実データに対するGP法を用いたフラクタル次元解析における推定領域の検討
https://doi.org/10.18999/njhpfs.36.1.7
https://doi.org/10.18999/njhpfs.36.1.7543615ef-a943-4048-a086-765799b8fddb
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Vol36-1-2.pdf (2.6 MB)
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| アイテムタイプ | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-07-07 | |||||
| タイトル | ||||||
| タイトル | 実データに対するGP法を用いたフラクタル次元解析における推定領域の検討 | |||||
| 言語 | ja | |||||
| その他のタイトル | ||||||
| その他のタイトル | Examination of the scaling region in fractal dimensional analysis using the GP method for empirical data | |||||
| 著者 |
鈴木, 啓央
× 鈴木, 啓央× 山本, 裕二× SUZUKI, Hiroo× YAMAMOTO, Yuji |
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| アクセス権 | ||||||
| アクセス権 | open access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | correlation dimension | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | empirical data | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | fractal dimension | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | scaling region | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In this study, we examined the validity of a calculation method that estimates the scaling region in fractal dimension analysis for empirical data. The most probable dimension value (MPDV) method was proposed to estimate the scaling region for smaller data sets, and to evaluate correlation dimension using the Grassberger-Procaccia (GP) method. The MPDV method was applied to Hénon maps, which consisted of 1,000 and 189 data points. This method proved to be somewhat effective in its ability to estimate the scaling region in the GP method for both data sets. However, when the MPDV method was applied to empirical data that were observed in the experiment of human movement, the histogram of the slopes had two peaks that depended on the number of bins. In this case, the scaling region could not be estimated as a unique value. Thus, we developed a new algorithm, which we refer to as the difference slope method, for estimating the scaling region in fractal dimensional analysis as a function of the change in the slope of a log-log graph. In the difference slope method, the estimated scaling regions are dependent on the threshold of variances of the slopes. If stricter threshold values are adopted, then the proposed calculation method for estimating the scaling region would give valid values for the correlation dimension, even in the empirical data. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | 名古屋大学総合保健体育科学センター | |||||
| 言語 | ja | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| ID登録 | ||||||
| ID登録 | 10.18999/njhpfs.36.1.7 | |||||
| ID登録タイプ | JaLC | |||||
| ISSN（print） | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0289-5412 | |||||
| 書誌情報 |
ja : 総合保健体育科学 巻 36, 号 1, p. 7-19, 発行日 2013-09-30 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/22793 | |||||
| 識別子タイプ | HDL | |||||
