{"id":"https://openalex.org/W2563073222","doi":"https://doi.org/10.1109/tnnls.2016.2635676","title":"A One-Layer Recurrent Neural Network for Constrained Complex-Variable Convex Optimization","display_name":"A One-Layer Recurrent Neural Network for Constrained Complex-Variable Convex Optimization","publication_year":2016,"publication_date":"2016-12-22","ids":{"openalex":"https://openalex.org/W2563073222","doi":"https://doi.org/10.1109/tnnls.2016.2635676","mag":"2563073222","pmid":"https://pubmed.ncbi.nlm.nih.gov/28026786"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2016.2635676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2635676","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5037016150","display_name":"Sitian Qin","orcid":"https://orcid.org/0000-0002-4543-4940"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sitian Qin","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0002-4543-4940","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109442954","display_name":"Jiqiang Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiqiang Feng","raw_affiliation_strings":["Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100845513","display_name":"Jiahui Song","orcid":"https://orcid.org/0009-0001-4180-1416"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiahui Song","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003298544","display_name":"Xingnan Wen","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingnan Wen","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100666211","display_name":"Chen Xu","orcid":"https://orcid.org/0000-0002-7607-7763"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Xu","raw_affiliation_strings":["Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-7607-7763","affiliations":[{"raw_affiliation_string":"Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":11.1059,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.98074133,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"29","issue":"3","first_page":"534","last_page":"544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5971562266349792},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.541540265083313},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5375864505767822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46059855818748474},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2696117162704468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2524428963661194},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1486445665359497},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.05837705731391907}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5971562266349792},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.541540265083313},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5375864505767822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46059855818748474},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2696117162704468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2524428963661194},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1486445665359497},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.05837705731391907},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2016.2635676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2635676","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:28026786","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28026786","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1114128829","display_name":null,"funder_award_id":"61401283","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4722233076","display_name":null,"funder_award_id":"61403101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7922070115","display_name":"\u6df1\u5ea6\u4f4e\u79e9\u7684\u7ed3\u6784-\u7eb9\u7406\u56fe\u50cf\u5206\u5272\u6a21\u578b\u548c\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61472257","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1516681311","https://openalex.org/W1551360398","https://openalex.org/W1971753800","https://openalex.org/W1973079268","https://openalex.org/W1982157348","https://openalex.org/W1994087711","https://openalex.org/W2003752524","https://openalex.org/W2004794211","https://openalex.org/W2006905759","https://openalex.org/W2007715285","https://openalex.org/W2011474549","https://openalex.org/W2055576996","https://openalex.org/W2056716724","https://openalex.org/W2061309766","https://openalex.org/W2061750102","https://openalex.org/W2085711939","https://openalex.org/W2087204344","https://openalex.org/W2087834767","https://openalex.org/W2088937325","https://openalex.org/W2090694625","https://openalex.org/W2097113878","https://openalex.org/W2097139389","https://openalex.org/W2101675075","https://openalex.org/W2102227134","https://openalex.org/W2108070111","https://openalex.org/W2108658536","https://openalex.org/W2110663062","https://openalex.org/W2115098233","https://openalex.org/W2117163577","https://openalex.org/W2124348301","https://openalex.org/W2128629311","https://openalex.org/W2137743180","https://openalex.org/W2149974730","https://openalex.org/W2157976960","https://openalex.org/W2158810475","https://openalex.org/W2169555996","https://openalex.org/W2261586655","https://openalex.org/W2315398695","https://openalex.org/W4250589301","https://openalex.org/W6653340199"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"In":[0,61],"this":[1],"paper,":[2],"based":[3],"on":[4],"calculus":[5],"and":[6,48,80,86],"penalty":[7],"method,":[8],"a":[9,31,76],"one-layer":[10],"recurrent":[11],"neural":[12,39,65,73,97],"network":[13,40,74],"is":[14,23],"proposed":[15,38,72,96],"for":[16,26,67],"solving":[17],"constrained":[18,56],"complex-variable":[19,57,68],"convex":[20,58,69],"optimization.":[21],"It":[22],"proved":[24],"that":[25],"any":[27],"initial":[28],"point":[29],"from":[30],"given":[32],"domain,":[33],"the":[34,37,42,55,71,92,95],"state":[35],"of":[36,54,94],"reaches":[41],"feasible":[43],"region":[44],"in":[45],"finite":[46],"time":[47],"converges":[49],"to":[50,63,90],"an":[51],"optimal":[52],"solution":[53],"optimization":[59],"finally.":[60],"contrast":[62],"existing":[64],"networks":[66],"optimization,":[70],"has":[75],"lower":[77],"model":[78],"complexity":[79],"better":[81],"convergence.":[82],"Some":[83],"numerical":[84],"examples":[85],"application":[87],"are":[88],"presented":[89],"substantiate":[91],"effectiveness":[93],"network.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4}],"updated_date":"2026-08-30T07:30:35.949966","created_date":"2025-10-10T00:00:00"}
