{"id":"https://openalex.org/W2039287546","doi":"https://doi.org/10.1109/cdc.2013.6760701","title":"Linear system identification using stable spline kernels and PLQ penalties","display_name":"Linear system identification using stable spline kernels and PLQ penalties","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2039287546","doi":"https://doi.org/10.1109/cdc.2013.6760701","mag":"2039287546"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1303.2827","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091863515","display_name":"Aleksandr Y. Aravkin","orcid":"https://orcid.org/0000-0002-1875-1801"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aleksandr Y. Aravkin","raw_affiliation_strings":["IBM T.J. Watson Research Center, Yorktown Heights, NY","IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, Yorktown Heights, NY","institution_ids":["https://openalex.org/I4210114115"]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085980354","display_name":"James V. Burke","orcid":"https://orcid.org/0000-0002-0215-7306"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James V. Burke","raw_affiliation_strings":["Department of Mathematics, University of Washington, Seattle, USA","Dept. of Math., Univ. of Washington, Seattle, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"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":"Gianluigi Pillonetto","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, University of Padova, Padova, Italy","Dipt. di Ing. dell'Inf., Univ. of Padova, Padua, 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":"Dipt. di Ing. dell'Inf., Univ. of Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5168","last_page":"5173"},"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":0.9988999962806702,"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":0.9983000159263611,"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/mathematics","display_name":"Mathematics","score":0.6308030486106873},{"id":"https://openalex.org/keywords/bibo-stability","display_name":"BIBO stability","score":0.6061756610870361},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5866456627845764},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5284115076065063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5166645050048828},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5006825923919678},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46589648723602295},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.43358489871025085},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.43180859088897705},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.4307299852371216},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42790138721466064},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.42498844861984253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3902711272239685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34044814109802246},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2135864496231079},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.11075994372367859}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6308030486106873},{"id":"https://openalex.org/C96380407","wikidata":"https://www.wikidata.org/wiki/Q744737","display_name":"BIBO stability","level":3,"score":0.6061756610870361},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5866456627845764},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5284115076065063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5166645050048828},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5006825923919678},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46589648723602295},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.43358489871025085},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.43180859088897705},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.4307299852371216},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42790138721466064},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.42498844861984253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3902711272239685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34044814109802246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2135864496231079},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.11075994372367859},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2013.6760701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1303.2827","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1303.2827","pdf_url":"https://arxiv.org/pdf/1303.2827","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":"mag:2039287546","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1303.2827.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:www.research.unipd.it:11577/2683575","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2683575","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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.1303.2827","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1303.2827","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1303.2827","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1303.2827","pdf_url":"https://arxiv.org/pdf/1303.2827","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2039287546.pdf","grobid_xml":"https://content.openalex.org/works/W2039287546.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1518039036","https://openalex.org/W1554944419","https://openalex.org/W1570961610","https://openalex.org/W1965324089","https://openalex.org/W1968128579","https://openalex.org/W1997462664","https://openalex.org/W2021065610","https://openalex.org/W2037479549","https://openalex.org/W2039887854","https://openalex.org/W2041475803","https://openalex.org/W2063978378","https://openalex.org/W2080997900","https://openalex.org/W2105250379","https://openalex.org/W2110652811","https://openalex.org/W2122825543","https://openalex.org/W2130412049","https://openalex.org/W2135046866","https://openalex.org/W2142474014","https://openalex.org/W2142635246","https://openalex.org/W2148603752","https://openalex.org/W2151673022","https://openalex.org/W2159425692","https://openalex.org/W2161083632","https://openalex.org/W2161920802","https://openalex.org/W2296616510","https://openalex.org/W2489822048","https://openalex.org/W2797583072","https://openalex.org/W2898920993","https://openalex.org/W2911546748","https://openalex.org/W2951506562","https://openalex.org/W2963930498","https://openalex.org/W2974222084","https://openalex.org/W4240691156","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4250955649","https://openalex.org/W6628633436","https://openalex.org/W6664509050","https://openalex.org/W6684515065","https://openalex.org/W6684823039","https://openalex.org/W6995821262"],"related_works":["https://openalex.org/W1777702701","https://openalex.org/W1978108722","https://openalex.org/W2949181565","https://openalex.org/W3156217969","https://openalex.org/W3016211582","https://openalex.org/W2618922006","https://openalex.org/W2009087799","https://openalex.org/W2100650658","https://openalex.org/W2125646596","https://openalex.org/W3165631894","https://openalex.org/W2846034702","https://openalex.org/W2754470862","https://openalex.org/W1924445734","https://openalex.org/W2153205562","https://openalex.org/W2074781637","https://openalex.org/W3105359167","https://openalex.org/W2614590078","https://openalex.org/W2325583235","https://openalex.org/W2791638061","https://openalex.org/W1859583763"],"abstract_inverted_index":{"Recently,":[0],"a":[1,41,74,87,164],"new":[2,57],"regularized":[3],"least":[4],"squares":[5],"approach":[6],"to":[7,122],"linear":[8,69,92],"system":[9,70,125],"identification":[10,71,126],"has":[11],"been":[12],"introduced":[13],"where":[14,78,142,167],"the":[15,19,61,103,124,147,159],"penalty":[16],"term":[17],"on":[18,33,40,102],"impulse":[20,105,150],"response":[21,151],"is":[22,161],"defined":[23],"by":[24,172],"so":[25],"called":[26],"stable":[27,62],"spline":[28,63],"kernels.":[29],"They":[30],"encode":[31],"information":[32],"regularity":[34],"and":[35,38,81,144,153],"BIBO":[36],"stability,":[37],"depend":[39],"small":[42],"number":[43,148],"of":[44,60,90,149,158],"parameters":[45],"that":[46,115],"can":[47,84,119],"be":[48,120],"estimated":[49],"from":[50,86],"data.":[51],"In":[52,65],"this":[53,111],"paper,":[54],"we":[55,67,113],"provide":[56],"nonsmooth":[58],"formulations":[59],"estimator.":[64],"particular,":[66],"consider":[68],"problems":[72],"in":[73,110,139],"very":[75],"broad":[76],"context,":[77],"regularization":[79],"functionals":[80],"data":[82],"misfits":[83],"come":[85],"rich":[88],"set":[89],"piecewise":[91],"quadratic":[93],"functions.":[94],"Moreover,":[95],"our":[96],"analysis":[97],"includes":[98],"polyhedral":[99],"inequality":[100],"constraints":[101],"unknown":[104],"response.":[106],"For":[107],"any":[108],"formulation":[109],"class,":[112],"show":[114],"interior":[116],"point":[117],"methods":[118],"used":[121],"solve":[123],"problem,":[127],"with":[128],"complexity":[129],"O(n":[130],"<sup":[131,135],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[132,136],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[133],")+O(mn":[134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[137],")":[138],"each":[140],"iteration,":[141],"n":[143],"m":[145],"are":[146,170],"coefficients":[152],"measurements,":[154],"respectively.":[155],"The":[156],"usefulness":[157],"framework":[160],"illustrated":[162],"via":[163],"numerical":[165],"experiment":[166],"output":[168],"measurements":[169],"contaminated":[171],"outliers.":[173]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2022-09-26T00:00:00"}