{"id":"https://openalex.org/W3204064108","doi":"https://doi.org/10.1587/transfun.2021tal0003","title":"The Ratio of the Desired Parameters of Deep Neural Networks","display_name":"The Ratio of the Desired Parameters of Deep Neural Networks","publication_year":2021,"publication_date":"2021-10-07","ids":{"openalex":"https://openalex.org/W3204064108","doi":"https://doi.org/10.1587/transfun.2021tal0003","mag":"3204064108"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2021tal0003","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.2021tal0003","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","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/A5054883402","display_name":"Yasushi Esaki","orcid":"https://orcid.org/0009-0002-4380-9769"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasushi ESAKI","raw_affiliation_strings":["Faculty of Science and Engineering, Waseda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Waseda University","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082105955","display_name":"Yuta Nakahara","orcid":"https://orcid.org/0000-0002-0553-7910"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuta NAKAHARA","raw_affiliation_strings":["Center for Data Science, Waseda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Data Science, Waseda University","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110471799","display_name":"Toshiyasu Matsushima","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshiyasu MATSUSHIMA","raw_affiliation_strings":["Faculty of Science and Engineering, Waseda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Waseda University","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14412948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"E105.A","issue":"3","first_page":"433","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7469328045845032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.7395790815353394},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.49878644943237305},{"id":"https://openalex.org/keywords/deep-neural-networks","display_name":"Deep neural networks","score":0.49061551690101624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4835048019886017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4455147087574005},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.43467479944229126},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4316394031047821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4154513478279114},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3316907286643982},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12899991869926453}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7469328045845032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.7395790815353394},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.49878644943237305},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.49061551690101624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4835048019886017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4455147087574005},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.43467479944229126},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4316394031047821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4154513478279114},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3316907286643982},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12899991869926453},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2021tal0003","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.2021tal0003","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1686810756","https://openalex.org/W1988485873","https://openalex.org/W2103496339","https://openalex.org/W2528305538","https://openalex.org/W2950337188","https://openalex.org/W3129882263"],"related_works":["https://openalex.org/W2386387936","https://openalex.org/W2033914206","https://openalex.org/W2146076056","https://openalex.org/W2163831990","https://openalex.org/W3003836766","https://openalex.org/W2046077695","https://openalex.org/W2378160586","https://openalex.org/W2042327336","https://openalex.org/W2996038082","https://openalex.org/W2355070670"],"abstract_inverted_index":{"There":[0],"have":[1,29],"been":[2],"some":[3],"researchers":[4],"that":[5,15],"investigate":[6],"the":[7,10,39,66,73,80,87,104,121],"accuracy":[8],"of":[9,20,49,76,101,118],"approximation":[11,67],"to":[12,38,64,79],"a":[13,17,23,42,61,83,93,98,107,115],"function":[14,36,40,47,81,88,105],"shows":[16,72],"generating":[18,43,84,108],"pattern":[19,44,85,109],"data":[21],"by":[22],"deep":[24,50,94],"neural":[25,51,95],"network.":[26],"However,":[27],"they":[28],"confirmed":[30],"only":[31],"whether":[32],"at":[33],"least":[34],"one":[35,113],"close":[37,78],"showing":[41,82,106],"exists":[45],"in":[46,86],"classes":[48],"networks":[52],"whose":[53],"parameter":[54],"values":[55],"are":[56],"changing.":[57],"Therefore,":[58],"we":[59,91],"propose":[60],"new":[62,70],"criterion":[63,71],"infer":[65],"accuracy.":[68],"Our":[69],"existence":[74],"ratio":[75],"functions":[77],"classes.":[89],"Moreover,":[90],"show":[92],"network":[96],"with":[97,114,124],"larger":[99],"number":[100,117],"layers":[102,119],"approximates":[103],"more":[110],"accurately":[111],"than":[112],"smaller":[116],"under":[120],"proposed":[122],"criterion,":[123],"numerical":[125],"simulations.":[126]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}