{"created":"2025-01-19T00:19:55.963808+00:00","updated":"2025-01-20T18:56:46.922469+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00142486","sets":["1164:5352:8218:8281"]},"path":["8281"],"owner":"11","recid":"142486","title":["ベイズ的な相互情報量の推定と独立性検定への応用"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-06-16"},"_buckets":{"deposit":"81717e44-09ae-4b8e-9cbc-0e04fb1008e8"},"_deposit":{"id":"142486","pid":{"type":"depid","value":"142486","revision_id":0},"owners":[11],"status":"published","created_by":11},"item_title":"ベイズ的な相互情報量の推定と独立性検定への応用","author_link":["211621","211622"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ベイズ的な相互情報量の推定と独立性検定への応用"},{"subitem_title":"A Bayesian Estimator of Mutual Information and its Application to Tests of Independence","subitem_title_language":"en"}]},"item_type_id":"4","publish_date":"2015-06-16","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"大阪大学大学院理学研究科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Science, Osaka University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"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/142486/files/IPSJ-BIO15042017.pdf"},"date":[{"dateType":"Available","dateValue":"2100-01-01"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-BIO15042017.pdf","filesize":[{"value":"403.5 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"0","billingrole":"41"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"02e6e540-cb64-4865-913a-c25490c8d2dc","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2015 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":"鈴木, 讓"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Joe, Suzuki","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA12055912","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":"2188-8590","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"一般に，確率変数 X，Ｙ の相互情報量が 0 であることと，両者が独立であるこは同値である．しかしながら，既存の相互情報量の推定量は，常に正の値をとるため，X，Ｙ が独立であることと，０ の値をとることとが一致しない．本研究では，強一致性を満足すること以外に，X，Ｙ が独立であることと，非正の値をとる (負の値をとることもある） ことが確率で一致するような，相互情報量の推定量を提案する．推定量は，独立である場合とそうでない場合で，BIC(Bayesian Information Criterion) の値の差をとったものである．この BIC は，近年講演者によって，X，Ｙ が有限個の値をとるとか，正規分布にしたがうとか，特定の仮定を置かないで導き出されたものである．また，提案方式に基づいて，独立性検定を行う際には，帰無仮説をシミュレートして推定量のしきい値を設定するような手間は生じない．また，サンプル数 n に対して，O(n log n) の計算量で，推定が完結するので，HSIC (Hilbert SchmidtIndependence Criterion, O(n3) の計算量) などのカーネルに基づく方法とくらべて，効率がよく，ピックデータにも適用できる．最後に，数値実験を示して，提案方式の実際面での有効性を示す．","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"8","bibliographic_titles":[{"bibliographic_title":"研究報告バイオ情報学（BIO）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2015-06-16","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"17","bibliographicVolumeNumber":"2015-BIO-42"}]},"relation_version_is_last":true,"weko_creator_id":"11"},"id":142486,"links":{}}