{"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00218576","sets":["1164:2735:10865:10962"]},"path":["10962"],"owner":"44499","recid":"218576","title":["射影法を用いて系の第一積分を発見し保存するNeural ODE"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-06-20"},"_buckets":{"deposit":"44e42112-5f1a-4f59-9b7e-ca96fe014466"},"_deposit":{"id":"218576","pid":{"type":"depid","value":"218576","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"射影法を用いて系の第一積分を発見し保存するNeural ODE","author_link":["568791","568793","568790","568792"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"射影法を用いて系の第一積分を発見し保存するNeural ODE"}]},"item_type_id":"4","publish_date":"2022-06-20","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"大阪大学大学院基礎工学研究科"},{"subitem_text_value":"神戸大学大学院システム情報学研究科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Engineering Science, Osaka University","subitem_text_language":"en"},{"subitem_text_value":"Graduate School of System Informatics, Kobe 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/218576/files/IPSJ-MPS22138006.pdf","label":"IPSJ-MPS22138006.pdf"},"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-MPS22138006.pdf","filesize":[{"value":"1.3 MB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"0","billingrole":"17"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_login","version_id":"c3edc6cb-2cef-4d51-9408-274257eb875b","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2022 by the Institute of Electronics, Information and Communication Engineers This SIG report is only available to those in membership of the SIG."}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"松原, 崇"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"谷口, 隆晴"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Takashi, Matsubara","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takaharu, Yaguchi","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"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":"ニューラルネットワークは，データ駆動形の力学系のモデル化にも有望視されている．近年提案されているハミルトニアンニューラルネットワークなどのモデルは，対象システムの既知の幾何学的構造を保存するように設計されており，優れたモデル化精度を示している．しかし，ニューラルネットワークが未知のシステムを学習するような状況を考えると，一般にその構造も未知であることが想定される．そのような場合でも，対象系は時間とともに変化しない量である第一積分を持っていると想定できる．第一積分は，エネルギーや運動量や質量の保存則，状態に対する制約，あるいは支配方程式が持つ何らかの特徴に由来している．本稿では，射影法と離散勾配法を用いて「第一積分保存型ニューラル微分方程式 (FINDE)」を提案する．提案する FINDE は，システムの構造に関する予備知識がない場合でも，データから第一積分を発見し保存できる．与えられたシステムの未来の状態をより長く正確に予測できるだけでなく，よく知られた様々な第一積分と一致する量を同じ枠組みで発見できる．","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"6","bibliographic_titles":[{"bibliographic_title":"研究報告数理モデル化と問題解決（MPS）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2022-06-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"6","bibliographicVolumeNumber":"2022-MPS-138"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":218576,"updated":"2025-01-19T15:07:17.459253+00:00","links":{},"created":"2025-01-19T01:18:55.929508+00:00"}