mm-GNAT: Index Structure for Arbitrary <i>L_p</i> Norm

• Item type: Trans(1)
• 公開日: 2010-09-28
• タイトル: mm-GNAT: Index Structure for Arbitrary <i>L_p</i> Norm
• タイトル / 言語: en
• タイトル: mm-GNAT: Index Structure for Arbitrary <i>L_p</i> Norm
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: 研究論文
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: Department of Mathematical Sciences, Tokai University
• 著者所属: Graduate School of Information Systems, University of Electro-Communications／Presently with Tokyo Metropolitan College of Industrial Technology
• 著者所属: Graduate School of Information Systems, University of Electro-Communications
• 著者所属(英): en
• 著者所属(英): Department of Mathematical Sciences, Tokai University
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Systems, University of Electro-Communications / Presently with Tokyo Metropolitan College of Industrial Technology
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Systems, University of Electro-Communications
• 著者名: Kensuke, Onishi; Michihiro, Kobayakawa; Mamoru, Hoshi
• 著者名(英): Kensuke, Onishi; Michihiro, Kobayakawa; Mamoru, Hoshi
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: For fast ε-similarity search, various index structures have been proposed. Yi, et al. proposed a concept multi-modality support and suggested inequalities by which ε-similarity search by L1, L2 and L∞ norm can be realized. We proposed an extended inequality which allows us to realize ε-similarity search by arbitrary Lp norm using an index based on Lq norm. In these investigations a search radius of a norm is converted into that of other norm. In this paper, we propose an index structure which allows search by arbitrary Lp norm, called mm-GNAT (multi-modality support GNAT), with the extention of ranges of GNAT, instead of extending the search radius. The index structure is based on GNAT (Geometric Near-neighbor Access Tree). We show that ε-similarity search by arbitrary Lp norm is realized on mm-GNAT. In addition, we performed search experiments on mm-GNAT with artificial data and music data. The results show that the search by arbitrary Lp norm is realized and the index structure has better search performance than Yi's method except for search by L2 norm.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: For fast ε-similarity search, various index structures have been proposed. Yi, et al. proposed a concept multi-modality support and suggested inequalities by which ε-similarity search by L1, L2 and L∞ norm can be realized. We proposed an extended inequality which allows us to realize ε-similarity search by arbitrary Lp norm using an index based on Lq norm. In these investigations a search radius of a norm is converted into that of other norm. In this paper, we propose an index structure which allows search by arbitrary Lp norm, called mm-GNAT (multi-modality support GNAT), with the extention of ranges of GNAT, instead of extending the search radius. The index structure is based on GNAT (Geometric Near-neighbor Access Tree). We show that ε-similarity search by arbitrary Lp norm is realized on mm-GNAT. In addition, we performed search experiments on mm-GNAT with artificial data and music data. The results show that the search by arbitrary Lp norm is realized and the index structure has better search performance than Yi's method except for search by L2 norm.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA11464847
• 書誌情報: 情報処理学会論文誌データベース（TOD）; 巻 3, 号 3, p. 88-98, 発行日 2010-09-28
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-7799
• 出版者 / 言語: ja
• 出版者: 情報処理学会