{"id":"https://openalex.org/W2242049308","doi":"https://doi.org/10.1109/tnnls.2015.2500618","title":"A Bi-Projection Neural Network for Solving Constrained Quadratic Optimization Problems","display_name":"A Bi-Projection Neural Network for Solving Constrained Quadratic Optimization Problems","publication_year":2015,"publication_date":"2015-12-09","ids":{"openalex":"https://openalex.org/W2242049308","doi":"https://doi.org/10.1109/tnnls.2015.2500618","mag":"2242049308","pmid":"https://pubmed.ncbi.nlm.nih.gov/26672052"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2500618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2500618","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/A5113682730","display_name":"Youshen Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Youshen Xia","raw_affiliation_strings":["College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100384686","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0002-1305-5735"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jun Wang","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113682730"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":10.2513,"has_fulltext":false,"cited_by_count":122,"citation_normalized_percentile":{"value":0.98158017,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"27","issue":"2","first_page":"214","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9927999973297119,"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":0.9904000163078308,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.8330676555633545},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.720869779586792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6061872839927673},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.5712733268737793},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5534515380859375},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49837303161621094},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45760607719421387},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.4233567714691162},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.42060843110084534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39377084374427795},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.34996914863586426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30778536200523376},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30248987674713135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29724738001823425}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.8330676555633545},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.720869779586792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6061872839927673},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.5712733268737793},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5534515380859375},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49837303161621094},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45760607719421387},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.4233567714691162},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.42060843110084534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39377084374427795},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.34996914863586426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30778536200523376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30248987674713135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29724738001823425},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D011340","descriptor_name":"Problem Solving","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011340","descriptor_name":"Problem Solving","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011340","descriptor_name":"Problem Solving","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2015.2500618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2500618","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:26672052","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26672052","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":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2608233755","display_name":null,"funder_award_id":"61179037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7465983296","display_name":null,"funder_award_id":"61473330","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":51,"referenced_works":["https://openalex.org/W83984544","https://openalex.org/W185294923","https://openalex.org/W271314235","https://openalex.org/W285212305","https://openalex.org/W1514159701","https://openalex.org/W1516681311","https://openalex.org/W1562895369","https://openalex.org/W1802825888","https://openalex.org/W1982157348","https://openalex.org/W1988901237","https://openalex.org/W1998792525","https://openalex.org/W2009765585","https://openalex.org/W2021188143","https://openalex.org/W2035115895","https://openalex.org/W2040294576","https://openalex.org/W2079528439","https://openalex.org/W2086386950","https://openalex.org/W2093690156","https://openalex.org/W2096027020","https://openalex.org/W2097113878","https://openalex.org/W2098961769","https://openalex.org/W2102227134","https://openalex.org/W2102555533","https://openalex.org/W2108070111","https://openalex.org/W2110657565","https://openalex.org/W2111986387","https://openalex.org/W2116897603","https://openalex.org/W2119547398","https://openalex.org/W2128332575","https://openalex.org/W2132450099","https://openalex.org/W2137743180","https://openalex.org/W2145356049","https://openalex.org/W2146503184","https://openalex.org/W2149598000","https://openalex.org/W2150468523","https://openalex.org/W2150872461","https://openalex.org/W2156278464","https://openalex.org/W2157976960","https://openalex.org/W2159840152","https://openalex.org/W2160536035","https://openalex.org/W2169273485","https://openalex.org/W2169555996","https://openalex.org/W2170383080","https://openalex.org/W2178935672","https://openalex.org/W2489292218","https://openalex.org/W2787523326","https://openalex.org/W4210417410","https://openalex.org/W4234534407","https://openalex.org/W4242209908","https://openalex.org/W6607525225","https://openalex.org/W6685858713"],"related_works":["https://openalex.org/W2373874059","https://openalex.org/W1538193578","https://openalex.org/W1982811442","https://openalex.org/W1549275021","https://openalex.org/W1922858971","https://openalex.org/W2115953260","https://openalex.org/W2023038358","https://openalex.org/W1993770029","https://openalex.org/W2082741444","https://openalex.org/W774881382"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,9,62],"bi-projection":[4,70],"neural":[5,24,41,54,59,82,93],"network":[6,25,42,60,83,94],"for":[7],"solving":[8],"class":[10],"of":[11,32,38],"constrained":[12],"quadratic":[13],"optimization":[14],"problems":[15],"is":[16,19,26,84,95],"proposed.":[17],"It":[18],"proved":[20],"that":[21,79,90],"the":[22,30,35,39,57,80,91,99],"proposed":[23,40,58,81,92],"globally":[27,45],"stable":[28],"in":[29],"sense":[31],"Lyapunov,":[33],"and":[34],"output":[36],"trajectory":[37],"will":[43],"converge":[44],"to":[46,68,75],"an":[47,73],"optimal":[48],"solution.":[49],"Compared":[50],"with":[51],"existing":[52,100],"projection":[53],"networks":[55],"(PNNs),":[56],"has":[61],"very":[63,85],"small":[64],"model":[65],"size":[66],"owing":[67],"its":[69],"structure.":[71],"Furthermore,":[72],"application":[74],"data":[76],"fusion":[77],"shows":[78],"effective.":[86],"Numerical":[87],"results":[88],"demonstrate":[89],"much":[96],"faster":[97],"than":[98],"PNNs.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":25},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
