{"id":"https://openalex.org/W3033092361","doi":"https://doi.org/10.1109/tnnls.2020.2995482","title":"Online Kernel Learning With Adaptive Bandwidth by Optimal Control Approach","display_name":"Online Kernel Learning With Adaptive Bandwidth by Optimal Control Approach","publication_year":2020,"publication_date":"2020-06-04","ids":{"openalex":"https://openalex.org/W3033092361","doi":"https://doi.org/10.1109/tnnls.2020.2995482","mag":"3033092361","pmid":"https://pubmed.ncbi.nlm.nih.gov/32497007"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2020.2995482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2020.2995482","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/A5100453775","display_name":"Jiaming Zhang","orcid":"https://orcid.org/0000-0002-6506-8917"},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaming Zhang","raw_affiliation_strings":["School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058920789","display_name":"Hanwen Ning","orcid":"https://orcid.org/0000-0003-4550-2285"},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanwen Ning","raw_affiliation_strings":["School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4550-2285","affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071742051","display_name":"Xingjian Jing","orcid":"https://orcid.org/0000-0003-3498-2180"},"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":"Xingjian Jing","raw_affiliation_strings":["The Hong Kong Polytechnic University, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-3498-2180","affiliations":[{"raw_affiliation_string":"The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039097797","display_name":"Tianhai Tian","orcid":"https://orcid.org/0000-0001-6191-0209"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tianhai Tian","raw_affiliation_strings":["School of Mathematical Science, Monash University, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0001-6191-0209","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Monash University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I56590836"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9248,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.84070918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"32","issue":"5","first_page":"1920","last_page":"1934"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9945999979972839,"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/computer-science","display_name":"Computer science","score":0.7019599676132202},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.6440877914428711},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5919402241706848},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5383025407791138},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5241251587867737},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.505249559879303},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.48877832293510437},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4862867295742035},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4565640389919281},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.42880862951278687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3572823405265808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3572486340999603},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.2426084578037262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18973037600517273},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.18762493133544922}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7019599676132202},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.6440877914428711},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5919402241706848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5383025407791138},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5241251587867737},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.505249559879303},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.48877832293510437},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4862867295742035},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4565640389919281},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.42880862951278687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3572823405265808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3572486340999603},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.2426084578037262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18973037600517273},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.18762493133544922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2020.2995482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2020.2995482","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:32497007","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32497007","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/G1442777589","display_name":null,"funder_award_id":"2722020PY038","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1511081402","display_name":null,"funder_award_id":"19BTJ025","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"},{"id":"https://openalex.org/G1735040913","display_name":null,"funder_award_id":"15206717","funder_id":"https://openalex.org/F4320321019","funder_display_name":"University Grants Committee"},{"id":"https://openalex.org/G228569751","display_name":null,"funder_award_id":"201707085011","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G353917467","display_name":null,"funder_award_id":"11571368","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4363365247","display_name":null,"funder_award_id":"61773401","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8932859536","display_name":null,"funder_award_id":"11301544","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"},{"id":"https://openalex.org/F4320321019","display_name":"University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W574171861","https://openalex.org/W607017180","https://openalex.org/W1492499319","https://openalex.org/W1537838346","https://openalex.org/W1565176583","https://openalex.org/W1819447595","https://openalex.org/W1975976087","https://openalex.org/W1979403862","https://openalex.org/W1981552604","https://openalex.org/W2014729048","https://openalex.org/W2028059116","https://openalex.org/W2029171653","https://openalex.org/W2034358398","https://openalex.org/W2041368931","https://openalex.org/W2050522395","https://openalex.org/W2050883740","https://openalex.org/W2051195364","https://openalex.org/W2057140844","https://openalex.org/W2069659771","https://openalex.org/W2070899640","https://openalex.org/W2104974239","https://openalex.org/W2119821739","https://openalex.org/W2139320579","https://openalex.org/W2150621701","https://openalex.org/W2152793312","https://openalex.org/W2153290280","https://openalex.org/W2155315913","https://openalex.org/W2160218441","https://openalex.org/W2161603851","https://openalex.org/W2164301055","https://openalex.org/W2167675176","https://openalex.org/W2167932108","https://openalex.org/W2344432845","https://openalex.org/W2408432900","https://openalex.org/W2484646121","https://openalex.org/W2508718575","https://openalex.org/W2606980484","https://openalex.org/W2619219755","https://openalex.org/W2785952199","https://openalex.org/W2788630562","https://openalex.org/W2791925622","https://openalex.org/W2798391154","https://openalex.org/W2810381476","https://openalex.org/W2964211601","https://openalex.org/W2990168612","https://openalex.org/W3009009611","https://openalex.org/W3012264151","https://openalex.org/W3104887532","https://openalex.org/W3145506661","https://openalex.org/W4239510810","https://openalex.org/W4249961403","https://openalex.org/W4300567850","https://openalex.org/W6683053671","https://openalex.org/W6683584131","https://openalex.org/W6683945318","https://openalex.org/W6714150371","https://openalex.org/W6738740392","https://openalex.org/W6748081988"],"related_works":["https://openalex.org/W2535206775","https://openalex.org/W2081743126","https://openalex.org/W2061713275","https://openalex.org/W3118393464","https://openalex.org/W2172290429","https://openalex.org/W1975708617","https://openalex.org/W2129614775","https://openalex.org/W3014226319","https://openalex.org/W2586549970","https://openalex.org/W2232554483"],"abstract_inverted_index":{"Online":[0],"learning":[1,12,18,60,89,117,150,201,208],"methods":[2,15,90],"are":[3,22,231],"designed":[4],"to":[5,103,233],"establish":[6],"timely":[7],"predictive":[8],"models":[9],"for":[10,16,65,128],"machine":[11],"problems.":[13],"The":[14],"online":[17],"of":[19,77,88,131,166,170,183,237],"nonlinear":[20,75,116],"systems":[21],"usually":[23],"developed":[24],"in":[25,36,52,73,85,148,159],"the":[26,38,48,59,70,78,86,115,146,149,167,171,179,184,192,235],"reproducing":[27],"kernel":[28,35,39,79,153,173,193],"Hilbert":[29],"space":[30],"(RKHS)":[31],"associated":[32],"with":[33,91,191,195,210,223],"Gaussian":[34,172],"which":[37],"bandwidth":[40,71,154],"is":[41,119,143,187,220],"manually":[42],"selected":[43],"and":[44,63,145,181],"remains":[45],"steady":[46],"during":[47],"entire":[49],"modeling":[50],"process":[51],"most":[53],"cases.":[54],"This":[55],"setting":[56],"may":[57],"make":[58],"model":[61,151],"rigid":[62],"inappropriate":[64],"complex":[66],"data":[67],"streams.":[68],"Since":[69],"appears":[72],"a":[74,100,110,123,129,160,175,196,211,224],"term":[76],"model,":[80,174],"it":[81],"raises":[82],"substantial":[83],"challenges":[84],"development":[87],"an":[92,140],"adaptive":[93,207],"bandwidth.":[94],"In":[95],"this":[96,105],"article,":[97],"we":[98],"propose":[99],"novel":[101,200],"approach":[102],"address":[104],"important":[106],"open":[107],"issue.":[108],"By":[109,163],"carefully":[111],"casted":[112],"linearization":[113],"scheme,":[114],"problem":[118,127],"reasonably":[120],"transformed":[121],"into":[122],"state":[124],"feedback":[125],"control":[126,138],"series":[130],"controllable":[132],"systems.":[133],"Then,":[134],"by":[135],"employing":[136],"optimal":[137],"techniques,":[139],"effective":[141],"algorithm":[142],"developed,":[144],"parameters":[147],"including":[152],"can":[155,203],"be":[156],"efficiently":[157],"updated":[158],"real-time":[161],"manner.":[162],"taking":[164],"advantage":[165],"particular":[168],"structure":[169],"theoretical":[176],"analysis":[177],"on":[178],"convergence":[180,226],"rationality":[182],"proposed":[185],"method":[186],"also":[188,216],"provided.":[189],"Compared":[190],"algorithms":[194],"fixed":[197],"bandwidth,":[198],"our":[199,238],"framework":[202],"not":[204],"only":[205],"achieve":[206],"results":[209,230],"better":[212],"prediction":[213],"accuracy":[214],"but":[215],"show":[217],"performance":[218],"that":[219],"more":[221],"robust":[222],"faster":[225],"speed.":[227],"Encouraging":[228],"numerical":[229],"provided":[232],"demonstrate":[234],"advantages":[236],"new":[239],"method.":[240]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}