{"id":"https://openalex.org/W2080997900","doi":"https://doi.org/10.1109/cdc.2011.6160606","title":"Kernel selection in linear system identification Part I: A Gaussian process perspective","display_name":"Kernel selection in linear system identification Part I: A Gaussian process perspective","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2080997900","doi":"https://doi.org/10.1109/cdc.2011.6160606","mag":"2080997900"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103084695","display_name":"Gianluigi Pillonetto","orcid":"https://orcid.org/0000-0002-1072-3144"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluigi Pillonetto","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, University of Padova, Padova, Italy","Dipartimento di Ingegneria dell\u00bfInformazione, University of Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u00bfInformazione, University of Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017270452","display_name":"Giuseppe De Nicolao","orcid":"https://orcid.org/0000-0002-3712-9911"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe De Nicolao","raw_affiliation_strings":["Dipartimento di Informatica e Sistemistica, University of Pavia, Pavia, Italy","Dipartimento di Informatica e Sistemistica, University of Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica, University of Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica, University of Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4318","last_page":"4325"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9986000061035156,"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":0.996399998664856,"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/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.5365538597106934},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5038079619407654},{"id":"https://openalex.org/keywords/model-selection","display_name":"Model selection","score":0.48837417364120483},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.488075852394104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4862429201602936},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.46395012736320496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4606568515300751},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.444222629070282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4261245131492615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3990587592124939},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.39149704575538635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35252195596694946},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.30484825372695923},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2700777053833008},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11718502640724182}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5365538597106934},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5038079619407654},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.48837417364120483},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.488075852394104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4862429201602936},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.46395012736320496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4606568515300751},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.444222629070282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4261245131492615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3990587592124939},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.39149704575538635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35252195596694946},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.30484825372695923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2700777053833008},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11718502640724182},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6160606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2483016","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2483016","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W55848811","https://openalex.org/W178056938","https://openalex.org/W296863324","https://openalex.org/W1480376833","https://openalex.org/W1746819321","https://openalex.org/W1965324089","https://openalex.org/W1968128579","https://openalex.org/W2018490621","https://openalex.org/W2021065610","https://openalex.org/W2037479549","https://openalex.org/W2132584457","https://openalex.org/W2142635246","https://openalex.org/W2146766088","https://openalex.org/W2159425692","https://openalex.org/W2161083632","https://openalex.org/W2586061285","https://openalex.org/W2913465992","https://openalex.org/W4211049957","https://openalex.org/W4255582690","https://openalex.org/W4298304654","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2281416914","https://openalex.org/W2385614044","https://openalex.org/W2803806910","https://openalex.org/W2054616108","https://openalex.org/W2375002642","https://openalex.org/W2534131053","https://openalex.org/W3139759507","https://openalex.org/W2109406163","https://openalex.org/W2037306524","https://openalex.org/W2959282771"],"abstract_inverted_index":{"In":[0,64,140],"some":[1],"recent":[2],"works,":[3],"an":[4,94],"alternative":[5],"nonparametric":[6,124],"paradigm":[7],"to":[8,33,105,135],"linear":[9],"model":[10,137],"identification":[11,149],"has":[12],"been":[13],"proposed,":[14],"where":[15],"the":[16,34,43,49,52,55,60,85,100,119,122,127,144,147],"unknown":[17],"system":[18,61],"impulse":[19,62],"response":[20],"is":[21,151],"interpreted":[22],"as":[23],"a":[24,27,154],"realization":[25],"of":[26,36,51,57,59,121,143],"Gaussian":[28],"process.":[29],"Its":[30],"autocovariance":[31],"belongs":[32],"class":[35],"so-called":[37],"stable":[38],"spline":[39],"kernels":[40],"that":[41,70,84,98,131],"incorporate":[42],"stability":[44],"constraint.":[45],"Within":[46],"this":[47,65],"class,":[48],"order":[50,87,138],"kernel":[53,86],"establishes":[54],"degree":[56],"smoothness":[58],"response.":[63],"work,":[66],"first":[67],"we":[68,82],"prove":[69],"such":[71],"statistical":[72],"models":[73],"can":[74,88],"be":[75,89],"derived":[76],"through":[77],"Maximum":[78],"Entropy":[79],"arguments.":[80],"Then,":[81],"show":[83,118],"learnt":[90],"from":[91],"data":[92,112],"via":[93],"efficient":[95],"computational":[96],"scheme":[97],"maximizes":[99],"marginal":[101],"likelihood":[102],"with":[103,111],"respect":[104],"only":[106],"two":[107],"hyperparameters.":[108],"Numerical":[109],"experiments,":[110],"generated":[113],"by":[114],"output":[115],"error":[116],"models,":[117],"advantages":[120],"new":[123],"estimator":[125],"over":[126],"classical":[128],"PEM":[129],"approach":[130],"adopts":[132],"cross":[133],"validation":[134],"perform":[136],"selection.":[139],"Part":[141],"II":[142],"companion":[145],"papers":[146],"same":[148],"problem":[150],"addressed":[152],"in":[153],"deterministic":[155],"framework.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
