{"id":"https://openalex.org/W2166705992","doi":"https://doi.org/10.1109/cdc.2010.5717386","title":"State smoothing by sum-of-norms regularization","display_name":"State smoothing by sum-of-norms regularization","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2166705992","doi":"https://doi.org/10.1109/cdc.2010.5717386","mag":"2166705992"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5107841185","display_name":"Henrik Ohlsson","orcid":"https://orcid.org/0000-0001-5521-9833"},"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":true,"raw_author_name":"Henrik Ohlsson","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058002446","display_name":"Fredrik Gustafsson","orcid":"https://orcid.org/0000-0003-3270-171X"},"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":"Fredrik Gustafsson","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"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":"Lennart Ljung","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011176205","display_name":"Stephen Boyd","orcid":"https://orcid.org/0000-0001-8353-6000"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Boyd","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107841185"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":5.7808,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9589274,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"2880","last_page":"2885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9987999796867371,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7935745716094971},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.7747809886932373},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.509559154510498},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4859858453273773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46456044912338257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45162150263786316},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.432603120803833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4271446764469147},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.42551642656326294},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4252714216709137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3574901819229126},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24481233954429626},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13321024179458618}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7935745716094971},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7747809886932373},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.509559154510498},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4859858453273773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46456044912338257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45162150263786316},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.432603120803833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4271446764469147},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.42551642656326294},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4252714216709137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3574901819229126},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24481233954429626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13321024179458618},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W89970292","https://openalex.org/W178056938","https://openalex.org/W323911834","https://openalex.org/W1509803206","https://openalex.org/W1531532259","https://openalex.org/W1556149896","https://openalex.org/W1583497301","https://openalex.org/W1965324089","https://openalex.org/W2038302789","https://openalex.org/W2051903196","https://openalex.org/W2063923071","https://openalex.org/W2089700840","https://openalex.org/W2105934661","https://openalex.org/W2107861471","https://openalex.org/W2113642685","https://openalex.org/W2117397690","https://openalex.org/W2118237987","https://openalex.org/W2128519721","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2145096794","https://openalex.org/W2238582461","https://openalex.org/W2296319761","https://openalex.org/W2296616510","https://openalex.org/W2502276222","https://openalex.org/W2536620281","https://openalex.org/W2783438209","https://openalex.org/W3022380717","https://openalex.org/W4249116379","https://openalex.org/W4250589301","https://openalex.org/W4250955649","https://openalex.org/W6630460433","https://openalex.org/W6635018136","https://openalex.org/W6728664312"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W2149980199","https://openalex.org/W4213275102","https://openalex.org/W2151138761"],"abstract_inverted_index":{"The":[0,72],"presence":[1],"of":[2,29,93,103,128],"abrupt":[3,43],"changes,":[4],"such":[5],"as":[6,84],"impulsive":[7],"disturbances":[8,30],"and":[9,52,125],"load":[10],"disturbances,":[11],"make":[12],"state":[13,51,73,78],"estimation":[14],"considerably":[15],"more":[16],"difficult":[17],"than":[18],"the":[19,50,53,94,104,115,126],"standard":[20],"setting":[21],"with":[22,88],"Gaussian":[23],"process":[24],"noise.":[25],"Nevertheless,":[26],"this":[27,64],"type":[28],"is":[31,55,81,107,119],"commonly":[32],"occurring":[33],"in":[34,49],"applications":[35],"which":[36,118],"makes":[37],"it":[38,109],"an":[39],"important":[40],"problem.":[41],"An":[42],"change":[44,60],"often":[45],"introduces":[46],"a":[47,68,85,91],"jump":[48],"problem":[54,75,87],"therefore":[56],"readily":[57],"treated":[58],"by":[59],"detection":[61],"techniques.":[62],"In":[63],"paper,":[65],"we":[66],"take":[67],"rather":[69],"different":[70],"approach.":[71],"smoothing":[74],"for":[76],"linear":[77],"space":[79],"models":[80],"here":[82],"formulated":[83],"least-squares":[86],"sum-of-norms":[89],"regularization,":[90],"generalization":[92],"\u2113":[95],"<sub":[96],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[98],"-regularization.":[99],"A":[100],"nice":[101],"property":[102],"suggested":[105],"formulation":[106],"that":[108],"only":[110],"has":[111],"one":[112],"tuning":[113],"parameter,":[114],"regularization":[116],"constant":[117],"used":[120],"to":[121],"trade":[122],"off":[123],"fit":[124],"number":[127],"jumps.":[129]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
