{"id":"https://openalex.org/W1974803434","doi":"https://doi.org/10.1080/00207160802166465","title":"Training algorithm for radial basis function neural network based on quantum-behaved particle swarm optimization","display_name":"Training algorithm for radial basis function neural network based on quantum-behaved particle swarm optimization","publication_year":2008,"publication_date":"2008-09-29","ids":{"openalex":"https://openalex.org/W1974803434","doi":"https://doi.org/10.1080/00207160802166465","mag":"1974803434"},"language":"en","primary_location":{"id":"doi:10.1080/00207160802166465","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802166465","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5050545244","display_name":"Guang Yao Lian","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122191","display_name":"Ordnance Engineering College","ror":"https://ror.org/02mn08y26","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122191"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"G. Y. Lian","raw_affiliation_strings":["\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","institution_ids":["https://openalex.org/I4210122191"]},{"raw_affiliation_string":"Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210122191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084406562","display_name":"Kaicheng Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122191","display_name":"Ordnance Engineering College","ror":"https://ror.org/02mn08y26","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122191"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"K. L. Huang","raw_affiliation_strings":["\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","institution_ids":["https://openalex.org/I4210122191"]},{"raw_affiliation_string":"Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210122191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035937018","display_name":"Jinye Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122191","display_name":"Ordnance Engineering College","ror":"https://ror.org/02mn08y26","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122191"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"J. H. Chen","raw_affiliation_strings":["\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","institution_ids":["https://openalex.org/I4210122191"]},{"raw_affiliation_string":"Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210122191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058137924","display_name":"Feng Gao","orcid":"https://orcid.org/0000-0002-9546-462X"},"institutions":[{"id":"https://openalex.org/I4210122191","display_name":"Ordnance Engineering College","ror":"https://ror.org/02mn08y26","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122191"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"F. Q. Gao","raw_affiliation_strings":["\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Ordinance Engineering College, Shijiazhuang, Hebei, 050003, People's Republic of China","institution_ids":["https://openalex.org/I4210122191"]},{"raw_affiliation_string":"Ordinance Engineering College, Shijiazhuang, Hebei, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210122191"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050545244"],"corresponding_institution_ids":["https://openalex.org/I4210122191"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.05101871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"87","issue":"3","first_page":"629","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9973000288009644,"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":0.9950000047683716,"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/T14225","display_name":"Advanced Sensor and Control Systems","score":0.9947999715805054,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.7148016691207886},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7123699188232422},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5622760057449341},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5552651882171631},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5255293250083923},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5048812031745911},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4796448349952698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4541071057319641},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40273547172546387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3550952076911926},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27892935276031494},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13844925165176392},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09759294986724854},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06967902183532715}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.7148016691207886},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7123699188232422},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5622760057449341},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5552651882171631},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5255293250083923},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5048812031745911},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4796448349952698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4541071057319641},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40273547172546387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3550952076911926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27892935276031494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13844925165176392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09759294986724854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06967902183532715},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160802166465","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802166465","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":34,"referenced_works":["https://openalex.org/W94523489","https://openalex.org/W1492996112","https://openalex.org/W1560921017","https://openalex.org/W1566399673","https://openalex.org/W1623080549","https://openalex.org/W1820051232","https://openalex.org/W1855408646","https://openalex.org/W1907706552","https://openalex.org/W1934426788","https://openalex.org/W1991848143","https://openalex.org/W1998909776","https://openalex.org/W2002011878","https://openalex.org/W2004988719","https://openalex.org/W2047501124","https://openalex.org/W2066366061","https://openalex.org/W2117595234","https://openalex.org/W2124776405","https://openalex.org/W2132775137","https://openalex.org/W2135232426","https://openalex.org/W2150535417","https://openalex.org/W2152195021","https://openalex.org/W2155399784","https://openalex.org/W2159708804","https://openalex.org/W2164531580","https://openalex.org/W2165299997","https://openalex.org/W2168993425","https://openalex.org/W2169245194","https://openalex.org/W2171277043","https://openalex.org/W2285257517","https://openalex.org/W2530938137","https://openalex.org/W2543580944","https://openalex.org/W2616627863","https://openalex.org/W4298110920","https://openalex.org/W6636468958"],"related_works":["https://openalex.org/W1794182708","https://openalex.org/W2133420660","https://openalex.org/W3019402777","https://openalex.org/W2387610815","https://openalex.org/W2031835531","https://openalex.org/W2388590088","https://openalex.org/W4386596916","https://openalex.org/W2393731464","https://openalex.org/W2374946871","https://openalex.org/W1572661297"],"abstract_inverted_index":{"Radial":[0],"basis":[1],"function":[2,9],"(RBF)":[3],"networks":[4],"are":[5],"widely":[6],"applied":[7],"in":[8],"approximation,":[10],"system":[11,89,107],"identification,":[12],"chaotic":[13,93,111],"time":[14,94,112],"series":[15,95,113],"forecasting,":[16],"etc.":[17],"To":[18],"use":[19],"a":[20,23,60,65],"RBF":[21,77,83],"network,":[22],"training":[24,36,61],"algorithm":[25,62],"is":[26],"absolutely":[27],"necessary":[28],"for":[29],"determining":[30],"the":[31,99,106,110,122],"network":[32,84],"parameters.":[33],"The":[34,80],"existing":[35],"algorithms,":[37],"such":[38],"as":[39],"orthogonal":[40],"least":[41],"squares":[42],"(OLS)":[43],"algorithm,":[44,49],"clustering":[45],"and":[46,92,98,108,116],"gradient":[47],"descent":[48],"have":[50],"their":[51],"own":[52],"shortcomings":[53],"respectively.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58],"propose":[59],"based":[63],"on":[64,87],"novel":[66],"population-based":[67],"evolutionary":[68],"technique,":[69],"quantum-behaved":[70],"particle":[71,123],"swarm":[72,124],"optimization":[73],"(QPSO),":[74],"to":[75],"train":[76],"neural":[78],"network.":[79],"proposed":[81],"QPSO-trained":[82],"was":[85],"tested":[86],"non-linear":[88],"identification":[90],"problem":[91],"forecasting":[96],"problem,":[97],"results":[100],"show":[101],"that":[102,119],"it":[103],"can":[104],"identify":[105],"forecast":[109],"more":[114],"quickly":[115],"precisely":[117],"than":[118],"trained":[120],"by":[121],"algorithm.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
