{"created":"2025-01-19T01:33:24.551981+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00232503","sets":["1164:5159:11541:11549"]},"path":["11549"],"owner":"44499","recid":"232503","title":["Kernel-Induced Sampling Theorem for A Class of Mapping-Prescribed Reproducing Kernel Hilbert Spaces"],"pubdate":{"attribute_name":"公開日","attribute_value":"2024-02-22"},"_buckets":{"deposit":"ba861dff-3812-4970-9bf1-1c3c5a4b0c89"},"_deposit":{"id":"232503","pid":{"type":"depid","value":"232503","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Kernel-Induced Sampling Theorem for A Class of Mapping-Prescribed Reproducing Kernel Hilbert Spaces","author_link":["629436","629435"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Kernel-Induced Sampling Theorem for A Class of Mapping-Prescribed Reproducing Kernel Hilbert Spaces"},{"subitem_title":"Kernel-Induced Sampling Theorem for A Class of Mapping-Prescribed Reproducing Kernel Hilbert Spaces","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"SIP1","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2024-02-22","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Faculty of Information Science and Technology, Hokkaido University"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Faculty of Information Science and Technology, Hokkaido 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/232503/files/IPSJ-SLP24151033.pdf","label":"IPSJ-SLP24151033.pdf"},"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-SLP24151033.pdf","filesize":[{"value":"796.7 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"0","billingrole":"22"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_login","version_id":"90e6748e-d655-4f44-a4bc-10eaa3160526","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2024 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":"Akira, Tanaka"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Akira, Tanaka","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10442647","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":"2188-8663","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"A reproducing kernel is often interpreted as an inner product of two input vectors mapped into a certain space. On the contrary, if a mapping and a metric of the range space of the mapping are specified, the corresponding reproducing kernel and the unique corresponding reproducing kernel Hilbert space are automatically specified. In this paper, we introduce a class of reproducing kernel Hilbert spaces prescribed by an arbitrarily fixed mapping, and discuss properties of the spaces. Moreover, we give a necessary and sufficient condition that leads the sampling theorem (perfect reconstruction of a function from sampling points) for a reproducing kernel Hilbert space in the class. In addition, we theoretically analyze the role of a metric, by which one reproducing kernel Hilbert space among the class is specified, of the class in the function reconstruction process.","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"A reproducing kernel is often interpreted as an inner product of two input vectors mapped into a certain space. On the contrary, if a mapping and a metric of the range space of the mapping are specified, the corresponding reproducing kernel and the unique corresponding reproducing kernel Hilbert space are automatically specified. In this paper, we introduce a class of reproducing kernel Hilbert spaces prescribed by an arbitrarily fixed mapping, and discuss properties of the spaces. Moreover, we give a necessary and sufficient condition that leads the sampling theorem (perfect reconstruction of a function from sampling points) for a reproducing kernel Hilbert space in the class. In addition, we theoretically analyze the role of a metric, by which one reproducing kernel Hilbert space among the class is specified, of the class in the function reconstruction process.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"6","bibliographic_titles":[{"bibliographic_title":"研究報告音声言語情報処理（SLP）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2024-02-22","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"33","bibliographicVolumeNumber":"2024-SLP-151"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":232503,"updated":"2025-01-19T10:25:35.179715+00:00","links":{}}