{"id":"https://openalex.org/W4387415371","doi":"https://doi.org/10.1109/tac.2023.3322576","title":"On Asymptotic Optimality of Cross-Validation Estimators for Kernel-Based Regularized System Identification","display_name":"On Asymptotic Optimality of Cross-Validation Estimators for Kernel-Based Regularized System Identification","publication_year":2023,"publication_date":"2023-10-06","ids":{"openalex":"https://openalex.org/W4387415371","doi":"https://doi.org/10.1109/tac.2023.3322576"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3322576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3322576","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/A5016633088","display_name":"Biqiang Mu","orcid":"https://orcid.org/0000-0003-1340-7830"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biqiang Mu","raw_affiliation_strings":["Key Laboratory of Systems and Control of CAS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-1340-7830","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control of CAS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102935603","display_name":"Tianshi Chen","orcid":"https://orcid.org/0000-0001-8655-2655"},"institutions":[{"id":"https://openalex.org/I4210099586","display_name":"Shenzhen Research Institute of Big Data","ror":"https://ror.org/00z1gwf89","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099586"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianshi Chen","raw_affiliation_strings":["School of Data Science, and Shenzhen Research Institute of Big Data, Chinese University of Hong Kong, Shenzhen, China","School of Data Science, and Shenzhen Research Institute of Big Data, The Chinese University of Hong Kong, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-8655-2655","affiliations":[{"raw_affiliation_string":"School of Data Science, and Shenzhen Research Institute of Big Data, Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210099586","https://openalex.org/I4210116924"]},{"raw_affiliation_string":"School of Data Science, and Shenzhen Research Institute of Big Data, The Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210099586","https://openalex.org/I4210116924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1518,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75801728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"69","issue":"7","first_page":"4352","last_page":"4367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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":0.9998999834060669,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9975000023841858,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7825865745544434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6759294271469116},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5970605611801147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5247761607170105},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5206562876701355},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.4978342056274414},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.47793155908584595},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4553821384906769},{"id":"https://openalex.org/keywords/cross-validation","display_name":"Cross-validation","score":0.4512532949447632},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4131705164909363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36593830585479736},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3298215866088867},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2936092019081116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22162893414497375},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.20514249801635742},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09406095743179321},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07217618823051453}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7825865745544434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6759294271469116},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5970605611801147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5247761607170105},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5206562876701355},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.4978342056274414},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.47793155908584595},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4553821384906769},{"id":"https://openalex.org/C27181475","wikidata":"https://www.wikidata.org/wiki/Q541014","display_name":"Cross-validation","level":2,"score":0.4512532949447632},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4131705164909363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36593830585479736},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3298215866088867},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2936092019081116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22162893414497375},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.20514249801635742},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09406095743179321},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07217618823051453},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3322576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3322576","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/G8334345017","display_name":null,"funder_award_id":"62273287","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W55848811","https://openalex.org/W809676393","https://openalex.org/W1613489108","https://openalex.org/W1862263964","https://openalex.org/W1878468619","https://openalex.org/W1900832178","https://openalex.org/W1976446368","https://openalex.org/W1981552604","https://openalex.org/W2021065610","https://openalex.org/W2033872649","https://openalex.org/W2033914841","https://openalex.org/W2037479549","https://openalex.org/W2050079540","https://openalex.org/W2050297026","https://openalex.org/W2052418342","https://openalex.org/W2054640142","https://openalex.org/W2069100655","https://openalex.org/W2086901931","https://openalex.org/W2092766760","https://openalex.org/W2098729277","https://openalex.org/W2112081648","https://openalex.org/W2159425692","https://openalex.org/W2161083632","https://openalex.org/W2162041430","https://openalex.org/W2530686295","https://openalex.org/W2564963669","https://openalex.org/W2595675930","https://openalex.org/W2771108512","https://openalex.org/W2784084101","https://openalex.org/W2787894218","https://openalex.org/W2896492347","https://openalex.org/W2912619267","https://openalex.org/W2913878323","https://openalex.org/W2962875092","https://openalex.org/W2963093329","https://openalex.org/W2963212984","https://openalex.org/W2963774371","https://openalex.org/W3000332379","https://openalex.org/W3031967244","https://openalex.org/W3103767811","https://openalex.org/W3104887532","https://openalex.org/W4206202898","https://openalex.org/W4213251304","https://openalex.org/W4240691156","https://openalex.org/W4246048519","https://openalex.org/W4285265010","https://openalex.org/W4295989401","https://openalex.org/W4308266464","https://openalex.org/W4312772397","https://openalex.org/W6674731556","https://openalex.org/W6734797129"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883","https://openalex.org/W763418848"],"abstract_inverted_index":{"Kernel-based":[0],"regularized":[1],"system":[2,11],"identification":[3,12],"is":[4,20,38,59,103],"one":[5],"of":[6,45,72,112],"the":[7,14,32,43,47,55,70,80,98,110],"major":[8],"advance":[9],"in":[10,13,42,62,106],"past":[15],"decade.":[16],"A":[17],"recent":[18],"focus":[19],"to":[21],"develop":[22],"its":[23],"asymptotic":[24],"theory":[25],"and":[26,77],"it":[27],"has":[28],"been":[29],"found":[30],"that":[31,79],"Stein's":[33],"unbiased":[34],"risk":[35],"estimation":[36],"estimator":[37,58],"asymptotically":[39],"optimal":[40],"(AO)":[41],"sense":[44],"minimizing":[46],"mean":[48],"squared":[49],"error":[50],"for":[51],"prediction":[52],"ability,":[53],"but":[54,97],"empirical":[56],"Bayes":[57],"not":[60,104],"AO":[61,71,93,105],"general.":[63,107],"In":[64],"this":[65],"paper,":[66],"we":[67],"further":[68],"study":[69],"various":[73],"cross-validation":[74],"(CV)":[75],"estimators":[76],"show":[78],"generalized":[81],"CV":[82,85,89,101],"method,":[83,86],"leave$k$-out":[84],"and$r$-":[87],"fold":[88],"method":[90,102],"are":[91],"all":[92],"under":[94],"mild":[95],"assumptions,":[96],"hold":[99],"out":[100],"We":[108],"illustrate":[109],"efficacy":[111],"our":[113],"theoretical":[114],"results":[115],"by":[116],"numerical":[117],"simulations.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
