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A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra
http://hdl.handle.net/2237/20706
http://hdl.handle.net/2237/20706c689f951-b9f4-495d-aa52-5eb7a94dea36
| 名前 / ファイル | ライセンス | アクション |
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5_A_Clustering_Method_for_Geometric_Data.pdf (639.9 kB)
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2014-11-06 | |||||
| タイトル | ||||||
| タイトル | A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra | |||||
| 言語 | en | |||||
| 著者 |
Minh, Tuan Pham
× Minh, Tuan Pham× Tachibana, Kanta× Yoshikawa, Tomohiro× Furuhashi, Takeshi |
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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 | |||||
| 権利 | ||||||
| 権利情報 | © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | |||||
| 言語 | en | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | conformal geometric algebra | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | hyper-sphere | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | inner product | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | distance | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | clustering | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Clustering is one of the most useful methods for understanding similarity among data. However, most conventional clustering methods do not pay sufficient attention to the geometric properties of data. Geometric algebra (GA) is a generalization of complex numbers and quaternions able to describe spatial objects and the relations between them. This paper uses conformal GA (CGA), which is a part of GA, to transform a vector in a real vector space into a vector in a CGA space and presents a proposed new clustering method using conformal vectors. In particular, this paper shows that the proposed method was able to extract the geometric clusters which could not be detected by conventional methods. | |||||
| 言語 | en | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011), June 27-30, 2011, Grand Hyatt Taipei, Taipei, Taiwan | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | IEEE | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1109/FUZZY.2011.6007574 | |||||
| ISBN | ||||||
| 関連タイプ | isPartOf | |||||
| 識別子タイプ | ISBN | |||||
| 関連識別子 | 978-1-4244-7315-1 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 1098-7584 | |||||
| 書誌情報 |
en : 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) p. 2540-2545, 発行日 2011-06 |
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| 著者版フラグ | ||||||
| 値 | author | |||||
| URI | ||||||
| 識別子 | http://dx.doi.org/10.1109/FUZZY.2011.6007574 | |||||
| 識別子タイプ | DOI | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/20706 | |||||
| 識別子タイプ | HDL | |||||
