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Self-organizing homotopy network
http://hdl.handle.net/10228/2375
http://hdl.handle.net/10228/2375ee0c8cb2-d59a-4e64-b06c-2a5518ed4ae5
名前 / ファイル | ライセンス | アクション |
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Furukawa-WSOM07-Soh-1.pdf (895.0 kB)
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Item type | 会議発表論文 = Conference Paper(1) | |||||||||||
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公開日 | 2009-04-13 | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||||||||
資源タイプ | conference paper | |||||||||||
タイトル | ||||||||||||
タイトル | Self-organizing homotopy network | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
著者 |
古川, 徹生
× 古川, 徹生
WEKO
661
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | In this paper, we propose a conceptual learning algorithm called the 'self-organizing homotopy (SOH)' together with an implementation thereof. As in the case of the SOM, our SOH organizes a homotopy in a self-organizing manner by giving a set of data episodes. Thus it is an extension of the SOM, moving from a 'map' to a 'homotopy'. From a geometrical viewpoint, the SOH represents a set of (i.e. multiple) data distributions by a fiber bundle, whereas the SOM represents a single data distribution by a manifold. One of the solutions to the SOH is SOM², in which every reference vector unit of the conventional SOM is itself replaced by an SOM. Consequently SOM² has the ability to represent a fiber bundle, i.e. a product manifold, by using a product space of SOM x SOM. It is expected that SOHs will play important roles in the fields of pattern recognition, adaptive functions, context understanding, and others, in which nonlinear manifolds and the homotopy play crucial roles. | |||||||||||
備考 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | The 6th International Workshop on Self-Organizing Maps (WSOM), 2007 Bielefeld University, Bielefeld, Germany, September 3 - 6, 2007 | |||||||||||
書誌情報 |
Proceedings of the 6th International Workshop of Self-Organizing Maps (WSOM 2007) 発行日 2007-09-01 |
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出版社 | ||||||||||||
出版社 | 6th lnt. Workshop on Self-Organizing Maps (WSOM 2007) | |||||||||||
DOI | ||||||||||||
関連タイプ | isIdenticalTo | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | https://doi.org/10.2390/biecoll-wsom2007-154 | |||||||||||
キーワード | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | homotopy | |||||||||||
キーワード | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | fiber bundle | |||||||||||
キーワード | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | SOM2 | |||||||||||
キーワード | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | mnSOM | |||||||||||
出版タイプ | ||||||||||||
出版タイプ | VoR | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
著者所属 | ||||||||||||
Department of Brain Science and Engineering, Kyushu Institute of Technology 2–4 Hibikino, Wakamtatsu-ku, Kitakyushu 808–0196, Japan | ||||||||||||
資料タイプ | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | Conference Paper |