{"created":"2022-06-09T06:00:19.728772+00:00","id":2000370,"links":{},"metadata":{"_buckets":{"deposit":"0476f2b8-bec5-4e4b-9fde-450239768c80"},"_deposit":{"created_by":18,"id":"2000370","owner":"18","owners":[18],"owners_ext":{"displayname":"NII","username":"niirepo"},"pid":{"revision_id":0,"type":"depid","value":"2000370"},"status":"published"},"_oai":{"id":"oai:repository.nii.ac.jp:02000370","sets":["136"]},"author_link":[],"control_number":"2000370","item_5_biblio_info_30":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-04-13","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"32","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"NIIテクニカル・レポート","bibliographic_titleLang":"ja"},{"bibliographic_title":"NII Technical Report","bibliographic_titleLang":"en"}]}]},"item_5_description_28":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Parameter estimation problems of mathematical models can often be formulated as nonlinear least squares problems. Typically these problems are solved numerically using iterative methods. The local minimiser obtained using these iterative methods usually depends on the choice of the initial iterate. Thus, the estimated parameter and subsequent analyses using it depend on the choice of the initial iterate. One way to reduce the analysis bias due to the choice of the initial iterate is to repeat the algorithm from multiple initial iterates (i.e. use a multi-start method). However, the procedure can be computationally intensive and is not always used in practice. To overcome this problem, we pro-pose the Cluster Gauss-Newton (CGN) method, an e cient algorithm for nding multiple approximate minimisers of nonlinear-least squares problems. CGN simultaneously solves the nonlinear least squares problem from multiple initial iterates. Then, CGN iteratively improves the solutions from these initial iterates similarly to the Gauss-Newton method. However, it uses a global linear approximation instead of the Jacobian. The global linear approximations are computed collectively among all the iterates to minimise the computational cost. We use physiologically based pharmacokinetic (PBPK) models used in pharmaceutical drug development to demonstrate its use and show that CGN is computationally more e cient and more robust against local minima compared to the standard Levenberg-Marquardt method, as well as state-of-the art multi-start and derivative-free methods.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_5_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.20736/0002000370","subitem_identifier_reg_type":"JaLC"}]},"item_5_publisher_31":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"国立情報学研究所","subitem_publisher_language":"ja"}]},"item_5_source_id_32":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1346-5597","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"青木, 康憲","creatorNameLang":"ja"},{"creatorName":"Aoki, Yasunori","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"速水, 謙","creatorNameLang":"ja"},{"creatorName":"Hayami, Ken","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"年本, 広太","creatorNameLang":"ja"},{"creatorName":"Toshimoto, Kota","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"杉山, 雄一","creatorNameLang":"ja"},{"creatorName":"Sugiyama, Yuichi","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-06-09"}],"displaytype":"detail","filename":"20-002E.pdf","filesize":[{"value":"6.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"NII Technical Report (NII-2020-002E)：Cluster Gauss-Newton method for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models","url":"https://repository.nii.ac.jp/record/2000370/files/20-002E.pdf"},"version_id":"60c672d5-2454-4579-bacf-df3e43514d39"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"テクニカルレポート","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Technical Report","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"NII Technical Report (NII-2020-002E)：Cluster Gauss-Newton method for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"NII Technical Report (NII-2020-002E)：Cluster Gauss-Newton method for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models","subitem_title_language":"en"}]},"item_type_id":"5","owner":"18","path":["136"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-06-09"},"publish_date":"2022-06-09","publish_status":"0","recid":"2000370","relation_version_is_last":true,"title":["NII Technical Report (NII-2020-002E)：Cluster Gauss-Newton method for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-01-11T05:58:17.118545+00:00"}