{"id":"https://openalex.org/W1790839542","doi":"https://doi.org/10.1109/cdc.2015.7402361","title":"On the estimation of initial conditions in kernel-based system identification","display_name":"On the estimation of initial conditions in kernel-based system identification","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W1790839542","doi":"https://doi.org/10.1109/cdc.2015.7402361","mag":"1790839542"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1504.08196","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049802410","display_name":"Riccardo Sven Risuleo","orcid":"https://orcid.org/0000-0002-2831-2909"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Riccardo S. Risuleo","raw_affiliation_strings":["ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000544193","display_name":"Giulio Bottegal","orcid":"https://orcid.org/0000-0003-3315-8704"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Giulio Bottegal","raw_affiliation_strings":["ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047606099","display_name":"H\u00e5kan Hjalmarsson","orcid":"https://orcid.org/0000-0002-9368-3079"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Hakan Hjalmarsson","raw_affiliation_strings":["ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"ACCESS Linnaeus Center, School of Electrical Engineering, KTH-Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049802410"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.3405,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63792874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"382","issue":null,"first_page":"1120","last_page":"1125"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9966999888420105,"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/kernel","display_name":"Kernel (algebra)","score":0.6387479305267334},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6172614097595215},{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.5787644386291504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.577461838722229},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5653650760650635},{"id":"https://openalex.org/keywords/kernel-smoother","display_name":"Kernel smoother","score":0.4994678497314453},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.46227818727493286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4571812152862549},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41953274607658386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3922686278820038},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.3202999532222748},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21374443173408508},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20245257019996643},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.14604291319847107},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.10290363430976868}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6387479305267334},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6172614097595215},{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.5787644386291504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.577461838722229},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5653650760650635},{"id":"https://openalex.org/C27406209","wikidata":"https://www.wikidata.org/wiki/Q6394203","display_name":"Kernel smoother","level":5,"score":0.4994678497314453},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.46227818727493286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4571812152862549},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41953274607658386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3922686278820038},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.3202999532222748},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21374443173408508},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20245257019996643},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.14604291319847107},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.10290363430976868},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2015.7402361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1504.08196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.08196","pdf_url":"https://arxiv.org/pdf/1504.08196","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:878429","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=878429","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:library.tue.nl:869586","is_oa":false,"landing_page_url":"http://repository.tue.nl/869586","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:library.tue.nl:878429","is_oa":false,"landing_page_url":"http://repository.tue.nl/878429","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1504.08196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.08196","pdf_url":"https://arxiv.org/pdf/1504.08196","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W1480376833","https://openalex.org/W1560724230","https://openalex.org/W1584444527","https://openalex.org/W1633751774","https://openalex.org/W1667165204","https://openalex.org/W1965324089","https://openalex.org/W1968128579","https://openalex.org/W1976446368","https://openalex.org/W2001351287","https://openalex.org/W2005009823","https://openalex.org/W2021065610","https://openalex.org/W2037479549","https://openalex.org/W2046245205","https://openalex.org/W2049633694","https://openalex.org/W2068465303","https://openalex.org/W2080997900","https://openalex.org/W2089425602","https://openalex.org/W2092766760","https://openalex.org/W2093673101","https://openalex.org/W2119537322","https://openalex.org/W2133301970","https://openalex.org/W2142635246","https://openalex.org/W2146766088","https://openalex.org/W2149846618","https://openalex.org/W2161083632","https://openalex.org/W2163204284","https://openalex.org/W2168175751","https://openalex.org/W2171033594","https://openalex.org/W2260508012","https://openalex.org/W2293807537","https://openalex.org/W2787894218","https://openalex.org/W2796390879","https://openalex.org/W2898920993","https://openalex.org/W2913465992","https://openalex.org/W2942228371","https://openalex.org/W2952580386","https://openalex.org/W3105416365","https://openalex.org/W3124009119","https://openalex.org/W3124554653","https://openalex.org/W3144619878","https://openalex.org/W3149745985","https://openalex.org/W4232023503","https://openalex.org/W4232239282","https://openalex.org/W4289255880","https://openalex.org/W4298876635","https://openalex.org/W4300853571","https://openalex.org/W4301253858","https://openalex.org/W6634927326","https://openalex.org/W6692454648","https://openalex.org/W6764809122"],"related_works":["https://openalex.org/W2382704364","https://openalex.org/W2420851703","https://openalex.org/W2129102061","https://openalex.org/W2351222813","https://openalex.org/W2353199197","https://openalex.org/W2098028537","https://openalex.org/W4311472972","https://openalex.org/W4306800962","https://openalex.org/W2011212036","https://openalex.org/W4200364127"],"abstract_inverted_index":{"Recent":[0],"developments":[1],"in":[2,97,148,152],"system":[3,57,155],"identification":[4],"have":[5,61],"brought":[6],"attention":[7],"to":[8,126,163],"regularized":[9],"kernel-based":[10,38,165],"methods,":[11],"where,":[12],"adopting":[13],"the":[14,23,30,33,53,56,66,84,106,111,114,120,127,132,146,154,159,170],"recently":[15],"introduced":[16],"stable":[17,115],"spline":[18,116],"kernel,":[19],"prior":[20],"information":[21],"on":[22,65],"unknown":[24],"process":[25],"is":[26],"enforced.":[27],"This":[28],"reduces":[29],"variance":[31],"of":[32,55,86,92,150,158],"estimates":[34],"and":[35,109],"thus":[36],"makes":[37],"methods":[39,80,95],"particularly":[40],"attractive":[41],"when":[42],"few":[43],"input-output":[44],"data":[45],"samples":[46],"are":[47],"available.":[48],"In":[49,69],"such":[50],"cases":[51],"however,":[52],"influence":[54],"initial":[58,87,107,172],"conditions":[59,88,108],"may":[60],"a":[62],"significant":[63],"impact":[64],"output":[67],"dynamics.":[68],"this":[70,75],"paper,":[71],"we":[72,124],"specifically":[73],"address":[74],"point.":[76],"We":[77],"propose":[78],"three":[79],"that":[81,131],"deal":[82],"with":[83],"estimation":[85],"using":[89],"different":[90],"types":[91],"information.":[93],"The":[94],"consist":[96],"various":[98],"mixed":[99],"maximum":[100],"likelihood-a":[101],"posteriori":[102],"estimators":[103],"which":[104],"estimate":[105],"tune":[110],"hyperparameters":[112],"characterizing":[113],"kernel.":[117],"To":[118],"solve":[119],"related":[121],"optimization":[122],"problems,":[123],"resort":[125],"expectation-maximization":[128],"method,":[129],"showing":[130],"solutions":[133],"can":[134],"be":[135],"attained":[136],"by":[137],"iterating":[138],"among":[139],"simple":[140],"update":[141],"steps.":[142],"Numerical":[143],"experiments":[144],"show":[145],"advantages,":[147],"terms":[149],"accuracy":[151],"reconstructing":[153],"impulse":[156],"response,":[157],"proposed":[160],"strategies,":[161],"compared":[162],"other":[164],"schemes":[166],"not":[167],"accounting":[168],"for":[169],"effect":[171],"conditions.":[173]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}