{"id":"https://openalex.org/W1997124102","doi":"https://doi.org/10.1080/00207720410001699200","title":"A fast regularization parameter selection for regularly sampled 2D inputs","display_name":"A fast regularization parameter selection for regularly sampled 2D inputs","publication_year":2004,"publication_date":"2004-03-15","ids":{"openalex":"https://openalex.org/W1997124102","doi":"https://doi.org/10.1080/00207720410001699200","mag":"1997124102"},"language":"en","primary_location":{"id":"doi:10.1080/00207720410001699200","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720410001699200","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083398120","display_name":"Kaoru Inoue","orcid":"https://orcid.org/0000-0001-6776-5487"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"K. Inoue","raw_affiliation_strings":["Department of Communications Engineering , Graduate School of Engineering, Osaka University , Suita 565-0871, Japan","Department of Communications Engineering, Graduate School of Engineering, Osaka University, Suita 565-0871, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Communications Engineering , Graduate School of Engineering, Osaka University , Suita 565-0871, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Department of Communications Engineering, Graduate School of Engineering, Osaka University, Suita 565-0871, Japan#TAB#","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112380845","display_name":"Y. Iiguni","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Y. Iiguni","raw_affiliation_strings":["Division of Systems Science and Applied Informatics , Department of Systems Innovation, Graduate School of Engineering, Science Osaka University , Toyonaka 560-8531, Japan E-mail: iiguni@sys.es.osaka-u.ac.jp","Division of Systems Science and Applied Informatics, Department of Systems Innovation, Graduate School of Engineering, Science Osaka University, Toyonaka 560-8531, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Systems Science and Applied Informatics , Department of Systems Innovation, Graduate School of Engineering, Science Osaka University , Toyonaka 560-8531, Japan E-mail: iiguni@sys.es.osaka-u.ac.jp","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Division of Systems Science and Applied Informatics, Department of Systems Innovation, Graduate School of Engineering, Science Osaka University, Toyonaka 560-8531, Japan#TAB#","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083398120"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10723464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"3","first_page":"191","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7499551773071289},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6403323411941528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5648583173751831},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5356025099754333},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.5263770222663879},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.5158550143241882},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.511167585849762},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.44648978114128113},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4358241558074951},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4309884011745453},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39140164852142334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3261004090309143},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.29517221450805664},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16182991862297058},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1408596634864807}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7499551773071289},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6403323411941528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5648583173751831},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5356025099754333},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.5263770222663879},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.5158550143241882},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.511167585849762},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.44648978114128113},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4358241558074951},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4309884011745453},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39140164852142334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3261004090309143},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.29517221450805664},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16182991862297058},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1408596634864807},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720410001699200","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720410001699200","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2030313069","https://openalex.org/W2052649001","https://openalex.org/W2081117180","https://openalex.org/W2106328792","https://openalex.org/W2113442785","https://openalex.org/W2116641053","https://openalex.org/W2139300206","https://openalex.org/W2143956139","https://openalex.org/W2156825886","https://openalex.org/W2164086668","https://openalex.org/W3000332379"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W2117336295","https://openalex.org/W3102722572","https://openalex.org/W2090103374","https://openalex.org/W577870507","https://openalex.org/W2073634779"],"abstract_inverted_index":{"A":[0,41],"fast":[1],"method":[2,51],"of":[3,60,76],"computing":[4],"the":[5,11,14,26,31,35,39,48,54,74],"regularization":[6,56],"parameter":[7],"is":[8,19,44],"proposed":[9],"for":[10,21],"case":[12],"where":[13],"radial":[15],"basis":[16],"function":[17],"network":[18],"used":[20],"image":[22],"interpolation":[23],"by":[24,46],"putting":[25],"regularly":[27,61],"sampled":[28,62],"pixel":[29,36],"as":[30,38],"two-dimensional":[32,63],"input":[33,64],"and":[34],"value":[37],"output.":[40],"performance":[42],"index":[43],"minimized":[45],"using":[47],"steepest":[49],"descent":[50],"to":[52],"find":[53],"optimal":[55],"parameter.":[57],"The":[58],"choice":[59],"data":[65],"allows":[66],"a":[67,77],"significant":[68],"reduction":[69],"in":[70],"computation":[71],"time":[72],"with":[73],"properties":[75],"Kronecker":[78],"product.":[79]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}