{"id":"https://openalex.org/W2125733767","doi":"https://doi.org/10.1109/tsp.2011.2112355","title":"Identification of a Class of Nonlinear Autoregressive Models With Exogenous Inputs Based on Kernel Machines","display_name":"Identification of a Class of Nonlinear Autoregressive Models With Exogenous Inputs Based on Kernel Machines","publication_year":2011,"publication_date":"2011-02-09","ids":{"openalex":"https://openalex.org/W2125733767","doi":"https://doi.org/10.1109/tsp.2011.2112355","mag":"2125733767"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2112355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2112355","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/A5018970859","display_name":"Guoqi Li","orcid":"https://orcid.org/0000-0002-8994-431X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Guoqi Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344158","display_name":"Changyun Wen","orcid":"https://orcid.org/0000-0001-9530-360X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Changyun Wen","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computing and Mathematics, University of Western Ontario, Penrith, NSW, Australia","Sch. of Comput. & Math., Univ. of Western Sydney, Penrith, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Western Ontario, Penrith, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Western Sydney, Penrith, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048569475","display_name":"Yan Chen","orcid":"https://orcid.org/0000-0002-4742-6944"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yan Chen","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018970859"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":13.7027,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.98769894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"59","issue":"5","first_page":"2146","last_page":"2159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.991599977016449,"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/T10320","display_name":"Neural Networks and Applications","score":0.9900000095367432,"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/nonlinear-autoregressive-exogenous-model","display_name":"Nonlinear autoregressive exogenous model","score":0.8868900537490845},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.7870151996612549},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7019463777542114},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6180899739265442},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5031916499137878},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4959941804409027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4787013828754425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4570153057575226},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4296836256980896},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.4218716025352478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4199671149253845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3440273404121399},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33123213052749634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3189684748649597},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.24823135137557983},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.15423011779785156},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.10657182335853577}],"concepts":[{"id":"https://openalex.org/C42536954","wikidata":"https://www.wikidata.org/wiki/Q7049462","display_name":"Nonlinear autoregressive exogenous model","level":3,"score":0.8868900537490845},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.7870151996612549},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7019463777542114},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6180899739265442},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5031916499137878},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4959941804409027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4787013828754425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4570153057575226},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4296836256980896},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.4218716025352478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4199671149253845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3440273404121399},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33123213052749634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3189684748649597},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.24823135137557983},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.15423011779785156},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.10657182335853577},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2011.2112355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2112355","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W135795571","https://openalex.org/W1969931741","https://openalex.org/W1971630942","https://openalex.org/W1971838648","https://openalex.org/W1972945233","https://openalex.org/W1980759970","https://openalex.org/W2000007124","https://openalex.org/W2043564038","https://openalex.org/W2051187167","https://openalex.org/W2053904120","https://openalex.org/W2055576996","https://openalex.org/W2070574062","https://openalex.org/W2096876657","https://openalex.org/W2097212550","https://openalex.org/W2108539509","https://openalex.org/W2110626713","https://openalex.org/W2120115609","https://openalex.org/W2124840426","https://openalex.org/W2133514706","https://openalex.org/W2137691086","https://openalex.org/W2145329594","https://openalex.org/W2146207066","https://openalex.org/W2148603752","https://openalex.org/W2160955620","https://openalex.org/W2349074656","https://openalex.org/W2532798880","https://openalex.org/W2758398298","https://openalex.org/W4244758665","https://openalex.org/W4253271010"],"related_works":["https://openalex.org/W2606910468","https://openalex.org/W3116827148","https://openalex.org/W4226315710","https://openalex.org/W3120843198","https://openalex.org/W2036704594","https://openalex.org/W3083782034","https://openalex.org/W4287185323","https://openalex.org/W2995801509","https://openalex.org/W3123153965","https://openalex.org/W2019155478"],"abstract_inverted_index":{"In":[0,55],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,10,43,48],"new":[6,11],"approach":[7,95],"to":[8,64,71,85],"identify":[9],"class":[12],"of":[13,36,50,92,100],"nonlinear":[14,37],"autoregressive":[15],"models":[16,53],"with":[17,42],"exogenous":[18],"inputs":[19],"(NARX)":[20],"based":[21,58],"on":[22],"kernel":[23,60],"machine":[24,61],"and":[25,68,82],"space":[26,69],"projection":[27,70],"(KMSP).":[28],"The":[29,89,98],"well-known":[30],"Hammerstein-Wiener":[31],"model":[32],"which":[33],"includes":[34],"blocks":[35],"static":[38],"functions":[39,67],"in":[40],"series":[41],"linear":[44],"dynamic":[45],"block":[46],"is":[47,62,96,104],"subset":[49],"the":[51,56,66,73,93,101],"NARX":[52],"considered.":[54],"KMSP":[57],"approach,":[59],"used":[63],"represent":[65],"separate":[72],"represented":[74],"functions.":[75],"We":[76],"also":[77],"discuss":[78],"two":[79],"possible":[80],"ambiguities":[81],"give":[83],"conditions":[84],"avoid":[86],"such":[87],"ambiguities.":[88],"asymptotic":[90],"behavior":[91],"proposed":[94,102],"analyzed.":[97],"performance":[99],"method":[103],"verified":[105],"by":[106],"simulation":[107],"studies.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
