{"id":"https://openalex.org/W1819938266","doi":"https://doi.org/10.1109/tnnls.2015.2473686","title":"Identification of Nonlinear Spatiotemporal Dynamical Systems With Nonuniform Observations Using Reproducing-Kernel-Based Integral Least Square Regulation","display_name":"Identification of Nonlinear Spatiotemporal Dynamical Systems With Nonuniform Observations Using Reproducing-Kernel-Based Integral Least Square Regulation","publication_year":2015,"publication_date":"2015-10-26","ids":{"openalex":"https://openalex.org/W1819938266","doi":"https://doi.org/10.1109/tnnls.2015.2473686","mag":"1819938266","pmid":"https://pubmed.ncbi.nlm.nih.gov/26513803"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2473686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2473686","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/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":true,"raw_author_name":"Hanwen Ning","raw_affiliation_strings":["[School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China]"],"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/A5006012383","display_name":"Guangyan Qing","orcid":"https://orcid.org/0000-0002-4888-9318"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangyan Qing","raw_affiliation_strings":["State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan , China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan , China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"last","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":["Department of Mechanical Engineering; The Hong Kong Polytechnic University; Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering; The Hong Kong Polytechnic University; Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058920789"],"corresponding_institution_ids":["https://openalex.org/I158934434"],"apc_list":null,"apc_paid":null,"fwci":0.7215,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70477737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"11","first_page":"2399","last_page":"2412"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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/discretization","display_name":"Discretization","score":0.6712102890014648},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6489668488502502},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5662283897399902},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5449051856994629},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.5389587879180908},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5323073863983154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4744119346141815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4681202471256256},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4380021393299103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4313867390155792},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42512738704681396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42429715394973755},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.42012232542037964},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.3665514588356018},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.254111111164093},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.161089688539505},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.13920700550079346},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12521716952323914},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11230158805847168}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6712102890014648},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6489668488502502},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5662283897399902},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5449051856994629},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.5389587879180908},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5323073863983154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4744119346141815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4681202471256256},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4380021393299103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4313867390155792},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42512738704681396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42429715394973755},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.42012232542037964},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.3665514588356018},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.254111111164093},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.161089688539505},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.13920700550079346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12521716952323914},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11230158805847168},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2015.2473686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2473686","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:26513803","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26513803","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},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/66529","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/66529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3958836100","display_name":null,"funder_award_id":"61374041","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/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W78182116","https://openalex.org/W210359992","https://openalex.org/W582175795","https://openalex.org/W624970118","https://openalex.org/W1486164486","https://openalex.org/W1565176583","https://openalex.org/W1663973292","https://openalex.org/W1819447595","https://openalex.org/W1974295409","https://openalex.org/W1976742127","https://openalex.org/W1978697444","https://openalex.org/W1984524168","https://openalex.org/W1986078872","https://openalex.org/W1994107759","https://openalex.org/W1997795459","https://openalex.org/W1999084173","https://openalex.org/W2006118587","https://openalex.org/W2014497688","https://openalex.org/W2017332415","https://openalex.org/W2032894172","https://openalex.org/W2035196103","https://openalex.org/W2040474350","https://openalex.org/W2041368931","https://openalex.org/W2043756819","https://openalex.org/W2047278710","https://openalex.org/W2055102513","https://openalex.org/W2068242608","https://openalex.org/W2069659771","https://openalex.org/W2082555563","https://openalex.org/W2091651498","https://openalex.org/W2093875902","https://openalex.org/W2097212550","https://openalex.org/W2102380305","https://openalex.org/W2102963852","https://openalex.org/W2104712579","https://openalex.org/W2118512402","https://openalex.org/W2129986954","https://openalex.org/W2130071450","https://openalex.org/W2130143684","https://openalex.org/W2130400080","https://openalex.org/W2130630787","https://openalex.org/W2134354547","https://openalex.org/W2137442237","https://openalex.org/W2139320579","https://openalex.org/W2140170995","https://openalex.org/W2144366961","https://openalex.org/W2145759391","https://openalex.org/W2150621701","https://openalex.org/W2158885218","https://openalex.org/W2160566248","https://openalex.org/W2167675176","https://openalex.org/W2167932108","https://openalex.org/W2168793491","https://openalex.org/W2170852642","https://openalex.org/W2317398953","https://openalex.org/W2481312347","https://openalex.org/W2481926318","https://openalex.org/W2796303555","https://openalex.org/W2797583072","https://openalex.org/W3000332379","https://openalex.org/W3137136951","https://openalex.org/W3175417087","https://openalex.org/W4212863985","https://openalex.org/W4229731152","https://openalex.org/W4249303080","https://openalex.org/W4253091510","https://openalex.org/W4292156489","https://openalex.org/W4296249473","https://openalex.org/W6603191184","https://openalex.org/W6680187362"],"related_works":["https://openalex.org/W2152282424","https://openalex.org/W2091914113","https://openalex.org/W564324191","https://openalex.org/W2021395081","https://openalex.org/W2004841036","https://openalex.org/W4386033416","https://openalex.org/W1595492935","https://openalex.org/W1987213476","https://openalex.org/W176335707","https://openalex.org/W4245871790"],"abstract_inverted_index":{"The":[0],"identification":[1,43,159,167],"of":[2,16,136,169,193],"nonlinear":[3,112],"spatiotemporal":[4,69,170],"dynamical":[5],"systems":[6,171,180],"given":[7],"by":[8],"partial":[9],"differential":[10],"equations":[11],"has":[12],"attracted":[13],"a":[14,87,121,153,157],"lot":[15],"attention":[17],"in":[18,55,68,114],"the":[19,42,57,115,133,137,150,166,188,191,194],"past":[20],"decades.":[21],"Several":[22],"methods,":[23,32,36],"such":[24],"as":[25],"searching":[26],"principle-based":[27],"algorithms,":[28],"partially":[29],"linear":[30],"kernel":[31],"and":[33,65,152,190],"coupled":[34],"lattice":[35],"have":[37,49],"been":[38],"developed":[39,130],"to":[40,83,105,131,139,164,186],"address":[41,165],"problems.":[44],"However,":[45],"most":[46],"existing":[47],"methods":[48],"some":[50,77],"restrictions":[51],"on":[52],"sampling":[53,58],"processes":[54],"that":[56],"intervals":[59],"should":[60],"usually":[61],"be":[62,103,140],"very":[63],"small":[64],"uniformly":[66],"distributed":[67],"domains.":[70],"These":[71],"are":[72,184],"actually":[73],"not":[74],"applicable":[75],"for":[76,111,178],"practical":[78],"applications.":[79],"In":[80],"this":[81,85,119,144],"paper,":[82],"tackle":[84],"issue,":[86],"novel":[88,145],"kernel-based":[89],"learning":[90,155],"algorithm":[91],"named":[92,124],"integral":[93],"least":[94],"square":[95],"regularization":[96],"regression":[97],"(ILSRR)":[98],"is":[99,128,161],"proposed,":[100],"which":[101],"can":[102],"used":[104],"effectively":[106],"achieve":[107],"accurate":[108],"derivative":[109],"estimation":[110],"functions":[113],"time":[116],"domain.":[117],"With":[118],"technique,":[120],"discretization":[122],"method":[123,160],"inverse":[125,146],"meshless":[126,147],"collocation":[127,148],"then":[129],"realize":[132],"dimensional":[134],"reduction":[135],"system":[138],"identified.":[141],"Thereafter,":[142],"with":[143,172,181],"model,":[149],"ILSRR,":[151],"multiple-kernel-based":[154],"algorithm,":[156],"multistep":[158],"systematically":[162],"proposed":[163,195],"problem":[168],"pointwise":[173],"nonuniform":[174],"observations.":[175],"Numerical":[176],"studies":[177],"benchmark":[179],"necessary":[182],"discussions":[183],"presented":[185],"illustrate":[187],"effectiveness":[189],"advantages":[192],"method.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
