{"id":"https://openalex.org/W2052336035","doi":"https://doi.org/10.1109/cdc.2012.6426236","title":"On the estimation of hyperparameters for Bayesian system identification with exponentially decaying kernels","display_name":"On the estimation of hyperparameters for Bayesian system identification with exponentially decaying kernels","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2052336035","doi":"https://doi.org/10.1109/cdc.2012.6426236","mag":"2052336035"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426236","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426236","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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/A5081534740","display_name":"Francesca Carli","orcid":"https://orcid.org/0000-0003-0575-5835"},"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":"F. Carli","raw_affiliation_strings":["Dept. of Information Engineering, Universty of Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Engineering, Universty of Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102935603","display_name":"Tianshi Chen","orcid":"https://orcid.org/0000-0001-8655-2655"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"T. Chen","raw_affiliation_strings":["Division of Automatic Control, Link\u00f6ping University","Division of Automatic Control, Linkoping University, Sweden#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Link\u00f6ping University","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Division of Automatic Control, Linkoping University, Sweden#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062648585","display_name":"Alessandro Chiuso","orcid":"https://orcid.org/0000-0002-4410-6101"},"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":"A. Chiuso","raw_affiliation_strings":["Dept. of Information Engineering, Universty of Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Engineering, Universty of Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078405221","display_name":"Lennart Ljung","orcid":"https://orcid.org/0000-0003-4881-8955"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"L. Ljung","raw_affiliation_strings":["Division of Automatic Control, Link\u00f6ping University, Sweden","Division of Automatic Control, Linkoping University, Sweden#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Division of Automatic Control, Linkoping University, Sweden#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","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":"G. Pillonetto","raw_affiliation_strings":["Dept. of Information Engineering, Universty of Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Engineering, Universty of Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5260","last_page":"5265"},"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":0.9986000061035156,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.9328279495239258},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6488019227981567},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5665836930274963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5571601986885071},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5161498785018921},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42851293087005615},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.4228634834289551},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36984771490097046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3469921350479126},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3321990966796875},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.32696884870529175},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.2907731533050537},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07343068718910217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.062246233224868774}],"concepts":[{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.9328279495239258},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6488019227981567},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5665836930274963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5571601986885071},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5161498785018921},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42851293087005615},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.4228634834289551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36984771490097046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3469921350479126},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3321990966796875},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.32696884870529175},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2907731533050537},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07343068718910217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.062246233224868774},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426236","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426236","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W1584444527","https://openalex.org/W1976446368","https://openalex.org/W1978774056","https://openalex.org/W2021065610","https://openalex.org/W2037479549","https://openalex.org/W2054640142","https://openalex.org/W2069100655","https://openalex.org/W2130412049","https://openalex.org/W2159660986","https://openalex.org/W2161083632","https://openalex.org/W2614854554","https://openalex.org/W2950486468","https://openalex.org/W4211049957","https://openalex.org/W4237411588","https://openalex.org/W4247961533","https://openalex.org/W6634927326","https://openalex.org/W6644393656","https://openalex.org/W6667696644","https://openalex.org/W6764024404"],"related_works":["https://openalex.org/W2140186469","https://openalex.org/W4390421286","https://openalex.org/W4280563792","https://openalex.org/W4389724018","https://openalex.org/W4318719684","https://openalex.org/W3183136280","https://openalex.org/W4318559728","https://openalex.org/W2775233965","https://openalex.org/W2382161936","https://openalex.org/W176335707"],"abstract_inverted_index":{"A":[0],"Bayesian":[1],"formulation":[2],"of":[3,18,21,29,38,81,92,97],"system":[4],"identification":[5],"problems":[6],"has":[7],"become":[8],"popular":[9],"recently;":[10],"this":[11,39,61],"is":[12,72],"mainly":[13],"due":[14],"to":[15],"the":[16,43,56,66,79,82,98],"introduction":[17],"a":[19],"family":[20],"prior":[22],"descriptions":[23],"(kernels)":[24],"which":[25,63,69],"encode":[26],"structural":[27],"properties":[28,80,96],"dynamical":[30],"systems":[31],"such":[32],"as":[33],"stability.":[34],"The":[35],"simplest":[36],"instance":[37],"kernel":[40,59],"prescribes":[41],"that":[42],"impulse":[44],"response":[45],"coefficients":[46],"are":[47],"independent":[48],"random":[49],"variables":[50],"with":[51],"exponentially":[52],"decaying":[53],"variance.":[54],"Selecting":[55],"most":[57],"suitable":[58],"within":[60],"class,":[62],"involves":[64],"tuning":[65],"rate":[67],"at":[68],"variance":[70],"decay,":[71],"an":[73,88],"important":[74],"step.":[75],"This":[76],"paper":[77],"studies":[78],"so-called":[83],"\u201cmarginal":[84],"likelihood\u201d":[85],"approach":[86],"providing":[87],"interpretation":[89],"in":[90],"terms":[91],"Mean":[93],"Squared":[94],"Error":[95],"resulting":[99],"estimators.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
