{"created":"2023-07-27T06:52:13.466807+00:00","id":46012,"links":{},"metadata":{"_buckets":{"deposit":"896e35df-d8b7-41b3-99ff-d4df302f6c04"},"_deposit":{"created_by":18,"id":"46012","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"46012"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00046012","sets":["2812:2813:2821"]},"author_link":["241","79859"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-05-20","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"5p.","bibliographicVolumeNumber":"2010-2012","bibliographic_titles":[{"bibliographic_title":"平成24(2012)年度 科学研究費補助金 基盤研究(C) 研究成果報告書"},{"bibliographic_title":"2012 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"本研究では、多変数超幾何関数の局所的性質と数式処理に基づいて公式の導出を行った。多変数超幾何関数の一種であるFisher-Bingham 積分および Fisher 積分に対して、Pfaff 方程式系と呼ばれる一階偏微分方程式系を導出した。さらに方向統計学における最尤推定問題に応用するために、ホロノミック勾配降下法という新しい記号的数値解析アルゴリズムを開発した。それを用いて具体的に最尤推定問題を解いた。さらに研究成果の一環として数学ソフトウェアを作成した。","subitem_description_type":"Abstract"},{"subitem_description":"In this research, we introduced formulas for some hypergeometric functions with multi-variables using by computer algebra. We found the Pfaffian differential system for the Fisher-Bingham integral and the Fisher integral. In order to apply formulas to Maximum Likelihood Estimation on statistics, we developed new symbolic-numerical method “Holonomic Gradient Descent” and solved concrete MLE problems. Moreover we implemented mathematical software.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:22540179, 研究期間(年度):2010-2012","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「多変数超幾何関数の公式の数式処理による探索」課題番号22540179\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所））\n（https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540179/22540179seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00052346","subitem_identifier_reg_type":"JaLC"}]},"item_9_publisher_17":{"attribute_name":"公開者","attribute_value_mlt":[{"subitem_publisher":"金沢大学理工研究域数物科学系"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=00313635"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=00313635","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540179/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540179/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540179/22540179seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540179/22540179seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-09-28"}],"displaytype":"detail","filename":"SC-PR-OHARA-K-kaken 2013-5p.pdf","filesize":[{"value":"350.2 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-OHARA-K-kaken 2013-5p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/46012/files/SC-PR-OHARA-K-kaken 2013-5p.pdf"},"version_id":"0e84fd52-1410-412a-be97-5f3b7a675c75"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"多変数超幾何関数の公式の数式処理による探索","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"多変数超幾何関数の公式の数式処理による探索"},{"subitem_title":"Research of hypergeometric fuctions with multi-variables via computer algebra","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2821"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-10-04"},"publish_date":"2018-10-04","publish_status":"0","recid":"46012","relation_version_is_last":true,"title":["多変数超幾何関数の公式の数式処理による探索"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T12:31:51.343436+00:00"}