{"id":"https://openalex.org/W2050333671","doi":"https://doi.org/10.1109/icnc.2010.5582999","title":"Approximation performance analysis of recurrent neural networks","display_name":"Approximation performance analysis of recurrent neural networks","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2050333671","doi":"https://doi.org/10.1109/icnc.2010.5582999","mag":"2050333671"},"language":"en","primary_location":{"id":"doi:10.1109/icnc.2010.5582999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5582999","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural Computation","raw_type":"proceedings-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/A5047621347","display_name":"Shuang Cong","orcid":"https://orcid.org/0000-0001-8101-0128"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuang Cong","raw_affiliation_strings":["Department of Automation, University of Science and Technology, Hefei, China","Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077382023","display_name":"Ming Yu","orcid":"https://orcid.org/0000-0002-9678-2347"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Yu","raw_affiliation_strings":["Department of Automation, University of Science and Technology, Hefei, China","Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101627322","display_name":"Yi Dai","orcid":"https://orcid.org/0000-0002-9929-6459"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Dai","raw_affiliation_strings":["Department of Automation, University of Science and Technology, Hefei, China","Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Dept. of Automation, Univ. of Science and Technology of China, Hefei, 230027, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047621347"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.21537002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":null,"first_page":"1074","last_page":"1078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T12676","display_name":"Machine Learning and ELM","score":0.9800999760627747,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.6963679790496826},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.6383516788482666},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6265513896942139},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.6262717247009277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6246363520622253},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5698493719100952},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5206612348556519},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5079224705696106},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.47471845149993896},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.46825963258743286},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.42741072177886963},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4252084791660309},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4014398455619812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37179458141326904},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37065333127975464},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3610597848892212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3352726697921753},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28296566009521484},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.25595760345458984},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09685847163200378}],"concepts":[{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.6963679790496826},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.6383516788482666},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6265513896942139},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.6262717247009277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6246363520622253},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5698493719100952},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5206612348556519},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5079224705696106},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.47471845149993896},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.46825963258743286},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.42741072177886963},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4252084791660309},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4014398455619812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37179458141326904},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37065333127975464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3610597848892212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3352726697921753},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28296566009521484},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25595760345458984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09685847163200378},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnc.2010.5582999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5582999","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2058580716","https://openalex.org/W2095941969","https://openalex.org/W2098276714","https://openalex.org/W2136838997","https://openalex.org/W2137983211","https://openalex.org/W2139122335","https://openalex.org/W2391994327","https://openalex.org/W3146803896","https://openalex.org/W6674894775","https://openalex.org/W6989261141"],"related_works":["https://openalex.org/W2167394514","https://openalex.org/W2766569526","https://openalex.org/W2235525867","https://openalex.org/W189995875","https://openalex.org/W3136275618","https://openalex.org/W2123358778","https://openalex.org/W2153714959","https://openalex.org/W2156766998","https://openalex.org/W2139536452","https://openalex.org/W2381921570"],"abstract_inverted_index":{"On":[0],"the":[1,4,7,12,16,53,56,64,78,83],"basis":[2],"of":[3,58],"transformation":[5],"from":[6],"space":[8],"state":[9],"model":[10,14],"into":[11],"input/output":[13],"for":[15],"general":[17],"recurrent":[18,24,50],"neural":[19,51],"networks,":[20,52],"we":[21],"prove":[22],"that":[23,40],"networks":[25],"may":[26],"realize":[27,44],"entire":[28],"approximation":[29,48,65],"to":[30,43,81],"arbitrary":[31,45],"non-linear":[32,46],"property":[33],"under":[34],"some":[35],"conditions.":[36],"And":[37],"point":[38],"out":[39],"in":[41,60],"order":[42],"function":[47],"using":[49],"initial":[54],"conditions,":[55],"number":[57],"node":[59],"hidden":[61],"layer":[62],"and":[63],"effectiveness":[66],"must":[67],"be":[68],"considered.":[69],"The":[70],"complete":[71],"network":[72],"design":[73],"process":[74],"is":[75],"given":[76],"through":[77],"numerical":[79],"example":[80],"verify":[82],"results":[84],"obtained.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}