{"created":"2024-10-31T02:47:55.717771+00:00","id":2020513,"links":{},"metadata":{"_buckets":{"deposit":"ab14b811-93c7-4890-bf19-63555f631300"},"_deposit":{"created_by":7,"id":"2020513","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2020513"},"status":"published"},"_oai":{"id":"oai:ocu-omu.repo.nii.ac.jp:02020513","sets":["1623632832836:1721355153493"]},"author_link":[],"item_1617186331708":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Model selection in the space of Gaussian models invariant by symmetry","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"作成者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Université d'Angers","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Graczyk, Piotr","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Osaka City University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Ishi, Hideyuki","creatorNameLang":"en"},{"creatorName":"イシ, ヒデユキ","creatorNameLang":"ja-Kana"},{"creatorName":"伊師, 英之","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"1000000326068","nameIdentifierScheme":"KAKEN2","nameIdentifierURI":"https://nrid.nii.ac.jp/nrid/1000000326068"},{"nameIdentifier":"read0057499","nameIdentifierScheme":"RESEARCHMAP","nameIdentifierURI":"https://researchmap.jp/read0057499"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Warsaw University of Technology","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Kołodziejek, Bartosz","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"0000-0002-5220-9012","nameIdentifierScheme":"ORCID","nameIdentifierURI":"https://orcid.org/0000-0002-5220-9012"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"York University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Massam, Hélène","creatorNameLang":"en"}]}]},"item_1617186499011":{"attribute_name":"権利情報","attribute_value_mlt":[{"subitem_rights":"© 2022 Institute of Mathematical Statistics. The Version of Record can be accessed online at https://doi.org/10.1214/22-aos2174.","subitem_rights_language":"en"}]},"item_1617186609386":{"attribute_name":"主題","attribute_value_mlt":[{"subitem_subject":"色付きグラフ","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"共役事前分布","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"データの対称性","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Colored graph","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"conjugate prior","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"covariance selection","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"invariance","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"permutation symmetry","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"この論文では, ある置換群の作用に関して不変な平均ゼロ多変量ガウス分布の統計モデルを考える. 有限群の実数体上の表現論を利用して, そういったモデルの共分散行列の最尤推定量と, 精度行列のディアコニス・イルヴィサカ共役事前分布の正規化公式の解析的表示を導出した. これを用いて, 置換群不変な多変量ガウス分布モデル(完全RCOPモデルと呼ぶ)のベイズ式モデル選択を実行した. これらの結果を, 4次元データの簡単な例や, 巡回群に限定した100次元データのモデル選択といった高次元のいくつかの例によって説明した.","subitem_description_language":"ja","subitem_description_type":"Abstract"},{"subitem_description":"We consider multivariate centered Gaussian models for the random variable Z=(Z1,...,Zp), invariant under the action of a subgroup of the group of permutations on {1,...,p}. Using the representation theory of the symmetric group on the field of reals, we derive the distribution of the maximum likelihood estimate of the covariance parameter Σ and also the analytic expression of the normalizing constant of the Diaconis–Ylvisaker conjugate prior for the precision parameter K=Σ^{−1}. ... ","subitem_description_language":"en","subitem_description_type":"Abstract"},{"subitem_description":"The second author was supported by JSPS KAKENHI Grant Number 16K05174, 20K03657 and JST PRESTO.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Institute of Mathematical Statistics","subitem_publisher_language":"en"}]},"item_1617186783814":{"attribute_name":"識別子","attribute_value_mlt":[{"subitem_identifier_type":"DOI","subitem_identifier_uri":"https://doi.org/10.1214/22-aos2174"}]},"item_1617186920753":{"attribute_name":"収録物識別子","attribute_value_mlt":[{"subitem_source_identifier":"0090-5364","subitem_source_identifier_type":"ISSN"}]},"item_1617187056579":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"1774","bibliographicPageStart":"1747","bibliographicVolumeNumber":"50","bibliographic_titles":[{"bibliographic_title":"The Annals of Statistics","bibliographic_titleLang":"en"}]}]},"item_1617258105262":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617353299429":{"attribute_name":"関連情報","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"AA11617267","subitem_relation_type_select":"NCID"}}]},"item_1722232185104":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-09-13"}],"displaytype":"detail","filename":"00905364-50-3-1747.pdf","filesize":[{"value":"755.6 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"label":"本文","objectType":"fulltext","url":"https://ocu-omu.repo.nii.ac.jp/record/2020513/files/00905364-50-3-1747.pdf"},"version_id":"eb9bdd9c-23b7-4395-be2c-f56756e4fe5f"}]},"item_1722577087681":{"attribute_name":"記事種別等","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1725590125188":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_title":"Model selection in the space of Gaussian models invariant by symmetry","item_type_id":"40002","owner":"7","path":["1721355153493"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-09-13"},"publish_date":"2022-09-13","publish_status":"0","recid":"2020513","relation_version_is_last":true,"title":["Model selection in the space of Gaussian models invariant by symmetry"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2024-10-31T02:48:06.939423+00:00"}