{"id":"https://openalex.org/W4385444672","doi":"https://doi.org/10.1109/tcyb.2023.3293196","title":"Multilayer Online Sequential Reduced Kernel Extreme Learning Machine-Based Modeling for Time-Varying Distributed Parameter Systems","display_name":"Multilayer Online Sequential Reduced Kernel Extreme Learning Machine-Based Modeling for Time-Varying Distributed Parameter Systems","publication_year":2023,"publication_date":"2023-08-01","ids":{"openalex":"https://openalex.org/W4385444672","doi":"https://doi.org/10.1109/tcyb.2023.3293196","pmid":"https://pubmed.ncbi.nlm.nih.gov/37527310"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2023.3293196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2023.3293196","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5004445478","display_name":"Chengjiu Zhu","orcid":"https://orcid.org/0000-0002-1133-3017"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengjiu Zhu","raw_affiliation_strings":["School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-1133-3017","affiliations":[{"raw_affiliation_string":"School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007248533","display_name":"Haidong Yang","orcid":"https://orcid.org/0000-0002-6734-249X"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haidong Yang","raw_affiliation_strings":["School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046555671","display_name":"Xi Jin","orcid":"https://orcid.org/0000-0003-2087-0698"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi Jin","raw_affiliation_strings":["School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kangkang Xu","orcid":"https://orcid.org/0000-0003-3622-2134"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kangkang Xu","raw_affiliation_strings":["School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China","IoT Technology Research and Development Center, Huizhou Guangdong University of Technology IoT Cooperative Innovation Institute Company Ltd., Huizhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3622-2134","affiliations":[{"raw_affiliation_string":"School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"IoT Technology Research and Development Center, Huizhou Guangdong University of Technology IoT Cooperative Innovation Institute Company Ltd., Huizhou, China","institution_ids":["https://openalex.org/I93477617","https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102961771","display_name":"Hongcheng Li","orcid":"https://orcid.org/0000-0003-2790-5216"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongcheng Li","raw_affiliation_strings":["School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7737,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.92207143,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":"1","first_page":"624","last_page":"634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9991000294685364,"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/T12676","display_name":"Machine Learning and ELM","score":0.9991000294685364,"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":0.9528999924659729,"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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9337000250816345,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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":0.7408219575881958},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.699324369430542},{"id":"https://openalex.org/keywords/extreme-learning-machine","display_name":"Extreme learning machine","score":0.6118384599685669},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5869051218032837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5714576244354248},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.5458893179893494},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.522068202495575},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4967239499092102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48568806052207947},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44809794425964355},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.41471782326698303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3984178900718689},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.22493425011634827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11797183752059937}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7408219575881958},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.699324369430542},{"id":"https://openalex.org/C2780150128","wikidata":"https://www.wikidata.org/wiki/Q21948731","display_name":"Extreme learning machine","level":3,"score":0.6118384599685669},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5869051218032837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5714576244354248},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.5458893179893494},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.522068202495575},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4967239499092102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48568806052207947},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44809794425964355},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.41471782326698303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3984178900718689},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.22493425011634827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11797183752059937},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2023.3293196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2023.3293196","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:37527310","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37527310","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G2412401564","display_name":null,"funder_award_id":"51905109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6004445991","display_name":null,"funder_award_id":"2021A1515011971","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1119805641","https://openalex.org/W1204627876","https://openalex.org/W1568176706","https://openalex.org/W2017753372","https://openalex.org/W2102380305","https://openalex.org/W2121971770","https://openalex.org/W2172300924","https://openalex.org/W2227948929","https://openalex.org/W2522389818","https://openalex.org/W2587172322","https://openalex.org/W2747452305","https://openalex.org/W2790580842","https://openalex.org/W2791387407","https://openalex.org/W2921236134","https://openalex.org/W2940045766","https://openalex.org/W2944656935","https://openalex.org/W2948805368","https://openalex.org/W2974439976","https://openalex.org/W2977264055","https://openalex.org/W3004360475","https://openalex.org/W3009292214","https://openalex.org/W3033125746","https://openalex.org/W3040881153","https://openalex.org/W3126136499","https://openalex.org/W3129469369","https://openalex.org/W3132678854","https://openalex.org/W3135481891","https://openalex.org/W3136959550","https://openalex.org/W3157517264","https://openalex.org/W3158507797","https://openalex.org/W3166839354","https://openalex.org/W3197511354","https://openalex.org/W3210977960","https://openalex.org/W4214527120","https://openalex.org/W4289259910","https://openalex.org/W4312531752","https://openalex.org/W4367840006"],"related_works":["https://openalex.org/W1973746459","https://openalex.org/W2089892314","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W1603091392","https://openalex.org/W2121506664","https://openalex.org/W4322737621","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W2150638158"],"abstract_inverted_index":{"A":[0],"significant":[1],"number":[2],"of":[3,185],"industrial":[4],"dynamic":[5,100],"processes":[6],"belong":[7],"to":[8,26,69,97,116],"time-varying":[9,29,168],"distributed":[10],"parameter":[11],"systems":[12],"(DPSs).":[13],"To":[14],"develop":[15],"an":[16,86],"accurate":[17],"approximation":[18],"model":[19,155],"for":[20,53,166],"these":[21],"systems,":[22],"it":[23,162],"is":[24,51,95,113],"critical":[25],"capture":[27],"their":[28],"behavior":[30],"and":[31,127,171,183],"strong":[32],"nonlinearity.":[33],"In":[34],"this":[35],"article,":[36],"a":[37,71,81,99,163,174],"multilayer":[38],"online":[39,47,60,87],"sequential":[40,61,88,149],"reduced":[41,62,89],"kernel":[42,63,90,125],"extreme":[43,64,91],"learning":[44,65,92,144],"machine":[45,66,93],"(ML-OSRKELM)-based":[46],"spatiotemporal":[48,78,120],"modeling":[49],"approach":[50],"developed":[52],"such":[54],"DPSs.":[55],"First,":[56],"ML-OSRKELM":[57],"stacks":[58],"multiple":[59],"autoencoders":[67],"(OSRKELM-AEs)":[68],"create":[70],"deep":[72],"network,":[73],"which":[74,160],"can":[75,136,152],"translate":[76],"the":[77,109,118,124,128,133,147,154,180,186],"domain":[79],"into":[80],"low-dimensional":[82],"time":[83,106,110],"domain.":[84,121],"Then,":[85],"(OS-RKELM)":[94],"employed":[96],"construct":[98],"temporal":[101],"model.":[102,188],"Finally,":[103],"after":[104],"obtaining":[105],"coefficients":[107],"from":[108],"domain,":[111],"OS-RKELM":[112],"also":[114],"used":[115],"reconstruct":[117],"original":[119],"By":[122],"using":[123],"trick":[126],"support":[129],"vector":[130],"selection":[131],"strategy,":[132],"proposed":[134,187],"method":[135,165],"remove":[137],"redundant":[138],"information":[139],"while":[140],"maintaining":[141],"satisfactory":[142],"nonlinear":[143],"performance.":[145],"Furthermore,":[146],"designed":[148],"update":[150,153],"scheme":[151],"parameters":[156],"with":[157],"real-time":[158],"data,":[159],"makes":[161],"promising":[164],"capturing":[167],"dynamics.":[169],"Experiments":[170],"simulations":[172],"on":[173],"lithium-ion":[175],"battery's":[176],"thermal":[177],"process":[178],"confirm":[179],"excellent":[181],"performance":[182],"validity":[184]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}