{"id":2006022,"created":"2025-11-26T10:12:53.222203+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:02006022","sets":["1164:2735:11900:1764147547195"]},"path":["1764147547195"],"owner":"80578","recid":"2006022","title":["位相幾何学に基づく核非線形主成分分析のパラメータ決定法"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-12-08"},"_buckets":{"deposit":"02943fb9-3da3-419a-9a4a-390ba9c2f81e"},"_deposit":{"id":"2006022","pid":{"type":"depid","value":"2006022","revision_id":0},"owners":[80578],"status":"published","created_by":80578},"item_title":"位相幾何学に基づく核非線形主成分分析のパラメータ決定法","author_link":[],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"位相幾何学に基づく核非線形主成分分析のパラメータ決定法","subitem_title_language":"ja"}]},"item_type_id":"4","publish_date":"2025-12-08","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"島根大学自然科学研究科"},{"subitem_text_value":"島根大学自然科学研究科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate school of science and technology, Shimane University","subitem_text_language":"en"},{"subitem_text_value":"Graduate school of science and technology, Shimane University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/2006022/files/IPSJ-MPS25155017.pdf","label":"IPSJ-MPS25155017.pdf"},"date":[{"dateType":"Available","dateValue":"2027-12-08"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-MPS25155017.pdf","filesize":[{"value":"1.2 MB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"17"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"3aae0521-4260-4d6d-ac88-3d6a230ca4e4","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2025 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"金澤,勝輝"}]},{"creatorNames":[{"creatorName":"坂野,鋭"}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10505667","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8833","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"本研究では，非線形次元圧縮法である核非線形主成分分析（Kernel Principal Component Analysis；以下KPCA）のパラメータの決定方法を提案する．非線形次元圧縮には任意性のあるパラメータが存在する場合が多く，そのパラメータは次元圧縮結果に対して大きな影響を与えるが，適切なパラメータの値は元の高次元空間での分布構造に依存し，次元圧縮された散布図からは原理的に知ることは出来ない．我々は，位相的データ解析（Topological Data Analysis；以下TDA）の一環として発展してきたパーシステントホモロジー技術を活用し，高次元空間の分布形状を数値的に捉え，次元圧縮のパラメータ決定のヒントを提供し、実験的に有効性を示す．","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"3","bibliographic_titles":[{"bibliographic_title":"研究報告数理モデル化と問題解決（MPS）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2025-12-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"17","bibliographicVolumeNumber":"2025-MPS-155"}]},"relation_version_is_last":true,"weko_creator_id":"80578"},"updated":"2025-11-26T10:12:57.549500+00:00","links":{}}