{"id":"https://openalex.org/W3010725993","doi":"https://doi.org/10.1109/tsp.2020.2981197","title":"Fast Adaptive Gradient RBF Networks For Online Learning of Nonstationary Time Series","display_name":"Fast Adaptive Gradient RBF Networks For Online Learning of Nonstationary Time Series","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3010725993","doi":"https://doi.org/10.1109/tsp.2020.2981197","mag":"3010725993"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.2981197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2981197","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5100392689","display_name":"Tong Liu","orcid":"https://orcid.org/0000-0003-3047-1148"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Liu","raw_affiliation_strings":["Ministry of Education, Chongqing University, School of Automation, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ministry of Education, Chongqing University, School of Automation, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100320969","display_name":"Sheng Chen","orcid":"https://orcid.org/0000-0001-6882-600X"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB","SA"],"is_corresponding":false,"raw_author_name":"Sheng Chen","raw_affiliation_strings":["King Abdulaziz University, Jeddah, Saudi Arabia","School of Electronics and Computer Science, University of Southampton, Southampton, U.K"],"raw_orcid":"https://orcid.org/0000-0001-6882-600X","affiliations":[{"raw_affiliation_string":"King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021668905","display_name":"Shan Liang","orcid":"https://orcid.org/0000-0001-5328-4068"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan Liang","raw_affiliation_strings":["Ministry of Education, Chongqing University, School of Automation, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-5328-4068","affiliations":[{"raw_affiliation_string":"Ministry of Education, Chongqing University, School of Automation, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036597286","display_name":"Shaojun Gan","orcid":"https://orcid.org/0000-0002-7445-8386"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaojun Gan","raw_affiliation_strings":["College of Metropolitan Transportation, Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Metropolitan Transportation, Beijing Key Laboratory of Traffic Engineering, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067133312","display_name":"C.J. Harris","orcid":"https://orcid.org/0000-0002-8504-9043"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chris J. Harris","raw_affiliation_strings":["School of Electronics and Computer Science, University of Southampton, Southampton, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7809,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.94429035,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":null,"first_page":"2015","last_page":"2030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9937000274658203,"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/computer-science","display_name":"Computer science","score":0.717125654220581},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.713590681552887},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6579555869102478},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5492919087409973},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5486482381820679},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5094485878944397},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.501396656036377},{"id":"https://openalex.org/keywords/adaptability","display_name":"Adaptability","score":0.4916418194770813},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4913412630558014},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.4547135829925537},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4299217760562897},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.42979252338409424},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42557191848754883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3993355333805084},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.37034904956817627},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.26891762018203735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18832632899284363}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.717125654220581},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.713590681552887},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6579555869102478},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5492919087409973},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5486482381820679},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5094485878944397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.501396656036377},{"id":"https://openalex.org/C177606310","wikidata":"https://www.wikidata.org/wiki/Q5674297","display_name":"Adaptability","level":2,"score":0.4916418194770813},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4913412630558014},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.4547135829925537},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4299217760562897},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.42979252338409424},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42557191848754883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3993355333805084},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.37034904956817627},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.26891762018203735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18832632899284363},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2020.2981197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2981197","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:438826","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/438826/2/TVT2020_Apr.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5052355670","display_name":null,"funder_award_id":"61771077","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":67,"referenced_works":["https://openalex.org/W1498436455","https://openalex.org/W1535689967","https://openalex.org/W1569512666","https://openalex.org/W1731748326","https://openalex.org/W1904826605","https://openalex.org/W1968802704","https://openalex.org/W1975936518","https://openalex.org/W1976494468","https://openalex.org/W1978053056","https://openalex.org/W1978581090","https://openalex.org/W1984254656","https://openalex.org/W1996773027","https://openalex.org/W1997854785","https://openalex.org/W2008743043","https://openalex.org/W2017413629","https://openalex.org/W2019821804","https://openalex.org/W2039389092","https://openalex.org/W2039617872","https://openalex.org/W2053744708","https://openalex.org/W2054905566","https://openalex.org/W2056615320","https://openalex.org/W2059776567","https://openalex.org/W2064675550","https://openalex.org/W2070797131","https://openalex.org/W2087946919","https://openalex.org/W2090696802","https://openalex.org/W2102380305","https://openalex.org/W2107878631","https://openalex.org/W2110998784","https://openalex.org/W2111072639","https://openalex.org/W2118756059","https://openalex.org/W2121129397","https://openalex.org/W2122007981","https://openalex.org/W2124958639","https://openalex.org/W2131688321","https://openalex.org/W2132320458","https://openalex.org/W2133297719","https://openalex.org/W2137442237","https://openalex.org/W2141394518","https://openalex.org/W2142635246","https://openalex.org/W2148100532","https://openalex.org/W2150355110","https://openalex.org/W2150781240","https://openalex.org/W2155399784","https://openalex.org/W2157331557","https://openalex.org/W2158054309","https://openalex.org/W2170324552","https://openalex.org/W2171247088","https://openalex.org/W2172064003","https://openalex.org/W2271627589","https://openalex.org/W2344849981","https://openalex.org/W2669968314","https://openalex.org/W2730850169","https://openalex.org/W2810921114","https://openalex.org/W2885060605","https://openalex.org/W2914619357","https://openalex.org/W2920714358","https://openalex.org/W2951974212","https://openalex.org/W2963311488","https://openalex.org/W2964199361","https://openalex.org/W2980153649","https://openalex.org/W2990495794","https://openalex.org/W4292483811","https://openalex.org/W6637611448","https://openalex.org/W6694189648","https://openalex.org/W6739612121","https://openalex.org/W6740676569"],"related_works":["https://openalex.org/W2357124094","https://openalex.org/W2387399993","https://openalex.org/W2389739210","https://openalex.org/W2348924972","https://openalex.org/W2365736347","https://openalex.org/W2047454415","https://openalex.org/W2070040999","https://openalex.org/W2387293848","https://openalex.org/W2441614350","https://openalex.org/W603561220"],"abstract_inverted_index":{"For":[0],"a":[1,49,118,176],"learning":[2],"model":[3,70,105],"to":[4,22,33,125,131,161],"be":[5,17,145],"effective":[6],"in":[7,44,94,181],"online":[8,35,100,165],"modeling":[9,87],"of":[10,86,89,137,168,178,183],"nonstationary":[11,61],"data,":[12],"it":[13],"must":[14],"not":[15,107],"only":[16],"equipped":[18],"with":[19],"high":[20],"adaptability":[21],"track":[23],"the":[24,74,78,95,99,103,110,127,132,163,169],"changing":[25],"data":[26,76],"dynamics":[27],"but":[28],"also":[29],"maintain":[30],"low":[31],"complexity":[32],"meet":[34],"computational":[36,188],"restrictions.":[37],"Based":[38],"on":[39,73],"these":[40],"two":[41,151,156],"important":[42],"principles,":[43],"this":[45,140],"paper,":[46],"we":[47],"propose":[48],"fast":[50,171],"adaptive":[51,141,172],"gradient":[52],"radial":[53],"basis":[54],"function":[55],"(GRBF)":[56],"network":[57],"for":[58],"nonlinear":[59],"and":[60,92,155,186],"time":[62,153],"series":[63,154],"prediction.":[64],"Specifically,":[65],"an":[66],"initial":[67],"compact":[68],"GRBF":[69,113,138,173],"is":[71,84,115,123],"constructed":[72],"training":[75],"using":[77],"orthogonal":[79],"least":[80],"squares":[81],"algorithm,":[82],"which":[83],"capable":[85],"variations":[88],"local":[90,133],"mean":[91],"trend":[93],"signal":[96],"well.":[97],"During":[98],"operation,":[101],"when":[102],"current":[104,128],"does":[106],"perform":[108],"well,":[109],"worst":[111],"performing":[112],"node":[114,142],"replaced":[116],"by":[117],"new":[119],"node,":[120,139],"whose":[121],"structure":[122],"optimized":[124],"fit":[126],"data.":[129],"Owing":[130],"one-step":[134],"predictor":[135],"property":[136],"replacement":[143],"can":[144],"done":[146],"very":[147],"efficiently.":[148],"Experiments":[149],"involving":[150],"chaotic":[152],"real-world":[157],"signals":[158],"are":[159],"used":[160],"demonstrate":[162],"superior":[164],"prediction":[166,184],"performance":[167],"proposed":[170],"algorithm":[174],"over":[175],"range":[177],"benchmark":[179],"schemes,":[180],"terms":[182],"accuracy":[185],"real-time":[187],"complexity.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}