{"id":"https://openalex.org/W3048806998","doi":"https://doi.org/10.1109/tac.2020.3015744","title":"Variable Selection According to Goodness of Fit in Nonparametric Nonlinear System Identification","display_name":"Variable Selection According to Goodness of Fit in Nonparametric Nonlinear System Identification","publication_year":2020,"publication_date":"2020-08-11","ids":{"openalex":"https://openalex.org/W3048806998","doi":"https://doi.org/10.1109/tac.2020.3015744","mag":"3048806998"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3015744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3015744","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5014211366","display_name":"Changming Cheng","orcid":"https://orcid.org/0000-0001-5222-4047"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Changming Cheng","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, USA","State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-5222-4047","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011715120","display_name":"Er\u2010Wei Bai","orcid":"https://orcid.org/0000-0003-0750-436X"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Er-Wei Bai","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, USA"],"raw_orcid":"https://orcid.org/0000-0003-0750-436X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, USA","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2979,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.55739606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"7","first_page":"3184","last_page":"3196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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":0.9997000098228455,"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/T10320","display_name":"Neural Networks and Applications","score":0.9957000017166138,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9882000088691711,"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/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.8338450193405151},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.7343863844871521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6317757964134216},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5930938124656677},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5755602717399597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.527490496635437},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4751560389995575},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4632301330566406},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.44598427414894104},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4335033893585205},{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"Goodness of fit","score":0.4327077567577362},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38832804560661316},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.176498681306839},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10804665088653564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07596316933631897}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8338450193405151},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.7343863844871521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6317757964134216},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5930938124656677},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5755602717399597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.527490496635437},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4751560389995575},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4632301330566406},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.44598427414894104},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4335033893585205},{"id":"https://openalex.org/C132480984","wikidata":"https://www.wikidata.org/wiki/Q2034239","display_name":"Goodness of fit","level":2,"score":0.4327077567577362},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38832804560661316},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.176498681306839},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10804665088653564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07596316933631897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.3015744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3015744","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2588829824","display_name":null,"funder_award_id":"CNS-1239509","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W570566252","https://openalex.org/W1212946089","https://openalex.org/W1598493736","https://openalex.org/W1967862917","https://openalex.org/W2003383525","https://openalex.org/W2010001505","https://openalex.org/W2014360396","https://openalex.org/W2020925091","https://openalex.org/W2030748132","https://openalex.org/W2040135606","https://openalex.org/W2050810194","https://openalex.org/W2056636001","https://openalex.org/W2057636570","https://openalex.org/W2063499201","https://openalex.org/W2069548171","https://openalex.org/W2070094080","https://openalex.org/W2072460512","https://openalex.org/W2074682976","https://openalex.org/W2080726496","https://openalex.org/W2089899295","https://openalex.org/W2099973661","https://openalex.org/W2107194942","https://openalex.org/W2115481383","https://openalex.org/W2132320458","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2142635246","https://openalex.org/W2151480498","https://openalex.org/W2154053567","https://openalex.org/W2164343167","https://openalex.org/W2164776629","https://openalex.org/W2292355502","https://openalex.org/W2472661117","https://openalex.org/W2508898866","https://openalex.org/W2568597309","https://openalex.org/W2889432972","https://openalex.org/W2905158674","https://openalex.org/W2952921001","https://openalex.org/W2953340873","https://openalex.org/W3010227908","https://openalex.org/W3098474648","https://openalex.org/W3098745759","https://openalex.org/W4248624814","https://openalex.org/W4252316495","https://openalex.org/W4254218124","https://openalex.org/W4285719527","https://openalex.org/W6637322457","https://openalex.org/W6676377354","https://openalex.org/W6683851531","https://openalex.org/W6720188138"],"related_works":["https://openalex.org/W4243114048","https://openalex.org/W2018264451","https://openalex.org/W2591253179","https://openalex.org/W4237896776","https://openalex.org/W4231665652","https://openalex.org/W1541538682","https://openalex.org/W2000242494","https://openalex.org/W4296826658","https://openalex.org/W4234882900","https://openalex.org/W4387349426"],"abstract_inverted_index":{"To":[0],"achieve":[1],"a":[2,59,84],"parsimonious":[3],"model,":[4],"it":[5],"is":[6,21,81],"necessary":[7],"to":[8,16,61,65,93,102,111,114,122],"rank":[9,62],"the":[10,24,35,41,99,108,131],"importance":[11],"of":[12,26,37,40,52,67,98],"input":[13],"variables":[14,63],"according":[15,64],"some":[17],"measures.":[18],"The":[19,79],"problem":[20,80],"nontrivial":[22],"in":[23,34,83],"setting":[25],"nonlinear":[27,50],"and":[28,48,74,121],"nonparametric":[29,96],"system":[30],"identification.":[31],"Difficulties":[32],"lie":[33],"lack":[36],"structural":[38],"information":[39],"unknown":[42,44,49,100,109],"system,":[43,101],"underlying":[45],"probabilistic":[46],"distributions,":[47,110],"correlations":[51],"variables.":[53],"In":[54],"this":[55],"article,":[56],"we":[57],"present":[58],"way":[60],"goodness":[66],"fit":[68],"(GoF).":[69],"Asymptotic":[70],"results":[71],"are":[72,77],"established,":[73],"numerical":[75,126],"algorithms":[76],"proposed.":[78],"cast":[82],"reproducing":[85],"kernel":[86],"Hilbert":[87],"space":[88],"(RKHS)":[89],"that":[90],"allows":[91],"us":[92],"deal":[94],"with":[95],"nature":[97],"avoid":[103],"making":[104],"strong":[105],"conditions":[106],"on":[107,119],"link":[112],"GoFs":[113],"computable":[115],"conditional":[116],"covariance":[117],"operators":[118],"RKHS,":[120],"develop":[123],"computationally":[124],"friendly":[125],"algorithms.":[127],"Numerical":[128],"simulations":[129],"support":[130],"theoretical":[132],"developments.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}