{"id":"https://openalex.org/W2004915661","doi":"https://doi.org/10.1142/s0129065799000083","title":"A NEURAL NETWORK METHODOLOGY OF QUADRATIC OPTIMIZATION","display_name":"A NEURAL NETWORK METHODOLOGY OF QUADRATIC OPTIMIZATION","publication_year":1999,"publication_date":"1999-04-01","ids":{"openalex":"https://openalex.org/W2004915661","doi":"https://doi.org/10.1142/s0129065799000083","mag":"2004915661"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065799000083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065799000083","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},"type":"letter","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/A5109637109","display_name":"Ai Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"AI WU","raw_affiliation_strings":["Department of Electronic & Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic & Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110082039","display_name":"P.K.S. Tam","orcid":null},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"P. K. S. TAM","raw_affiliation_strings":["Department of Electronic & Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic & Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109637109"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":0.4007902,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.69012746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"09","issue":"02","first_page":"87","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9907000064849854,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9729999899864197,"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":0.8066610097885132},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.6869187355041504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6115464568138123},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.5473076701164246},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5356864929199219},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5224072933197021},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.49403315782546997},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4492560029029846},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42201489210128784},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.4122801125049591},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.3494633734226227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29948681592941284},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25041335821151733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2468709647655487}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.8066610097885132},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.6869187355041504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6115464568138123},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.5473076701164246},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5356864929199219},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5224072933197021},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.49403315782546997},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4492560029029846},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42201489210128784},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.4122801125049591},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.3494633734226227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29948681592941284},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25041335821151733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2468709647655487},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065799000083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065799000083","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},{"id":"mag:10529081","is_oa":false,"landing_page_url":"http://www.fi.se/Tillsyn/Sanktioner/Finansiella-foretag/Listan/Fondifonds-tillstand-aterkallas/","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International journal of neural systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1597286183","https://openalex.org/W1984233206","https://openalex.org/W2097113878","https://openalex.org/W2102227134","https://openalex.org/W2128332575","https://openalex.org/W2128690984","https://openalex.org/W2137743180","https://openalex.org/W2160915159","https://openalex.org/W2164502827"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W4313119266","https://openalex.org/W2164807043","https://openalex.org/W2019128690","https://openalex.org/W4231448069","https://openalex.org/W2128461291","https://openalex.org/W2355907103","https://openalex.org/W2270789747","https://openalex.org/W436931041","https://openalex.org/W1495847109"],"abstract_inverted_index":{"According":[0],"to":[1,38,100,106],"the":[2,19,30,42,51,54,58,65,71,74,82,89,94,97,108,112],"basic":[3],"optimization":[4,35,76],"principle":[5],"of":[6,13,45,50,64,73,81,93,96,111],"artificial":[7],"neural":[8,14,66,75,83,98,113],"networks,":[9],"a":[10],"novel":[11],"kind":[12],"network":[15,52,67,84,99,114],"model":[16],"for":[17,57],"solving":[18],"quadratic":[20],"programming":[21],"problem":[22],"is":[23,27,68,77,86],"presented.":[24],"The":[25,47,60,79],"methodology":[26],"based":[28],"on":[29],"Lagrange":[31],"multiplier":[32],"theory":[33],"in":[34],"and":[36,62,70],"seeks":[37],"provide":[39],"solutions":[40],"satisfying":[41],"necessary":[43],"conditions":[44],"optimality.":[46],"equilibrium":[48],"point":[49],"satisfies":[53],"Kuhn-Tucker":[55],"condition":[56],"problem.":[59],"stability":[61],"convergency":[63],"investigated":[69],"strategy":[72],"discussed.":[78],"feasibility":[80],"method":[85],"verified":[87],"with":[88],"computation":[90],"examples.":[91],"Results":[92],"simulation":[95],"solve":[101],"optimum":[102],"problems":[103],"are":[104],"presented":[105],"illustrate":[107],"computational":[109],"power":[110],"method.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}