{"id":"https://openalex.org/W2496790888","doi":"https://doi.org/10.1109/tsp.2016.2595487","title":"Recursive Identification Method for Piecewise ARX Models: A Sparse Estimation Approach","display_name":"Recursive Identification Method for Piecewise ARX Models: A Sparse Estimation Approach","publication_year":2016,"publication_date":"2016-07-27","ids":{"openalex":"https://openalex.org/W2496790888","doi":"https://doi.org/10.1109/tsp.2016.2595487","mag":"2496790888"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2595487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2595487","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-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/A5076316548","display_name":"Per Mattsson","orcid":"https://orcid.org/0000-0002-2678-1330"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Per Mattsson","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043094282","display_name":"Dave Zachariah","orcid":"https://orcid.org/0000-0002-6698-0166"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Dave Zachariah","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007877889","display_name":"Petre Stoica","orcid":"https://orcid.org/0000-0002-7957-3711"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Petre Stoica","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":2.1051,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.87941889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"64","issue":"19","first_page":"5082","last_page":"5093"},"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":0.9980999827384949,"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":0.9969000220298767,"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/piecewise","display_name":"Piecewise","score":0.5961248278617859},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5787230134010315},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5767261385917664},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5719619989395142},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5597183108329773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5255992412567139},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5123704671859741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5059022307395935},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.49490565061569214},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4782751500606537},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.43756601214408875},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.422305703163147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3856288194656372},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.3337489664554596}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5961248278617859},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5787230134010315},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5767261385917664},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5719619989395142},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5597183108329773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5255992412567139},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5123704671859741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5059022307395935},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.49490565061569214},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4782751500606537},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.43756601214408875},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.422305703163147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3856288194656372},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.3337489664554596},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2016.2595487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2595487","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2977410984","display_name":null,"funder_award_id":"621-2014-5874","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W55912154","https://openalex.org/W178056938","https://openalex.org/W328751943","https://openalex.org/W1480376833","https://openalex.org/W1521695632","https://openalex.org/W1598493736","https://openalex.org/W1601795611","https://openalex.org/W1663973292","https://openalex.org/W1964409440","https://openalex.org/W1964804943","https://openalex.org/W1965324089","https://openalex.org/W1971912051","https://openalex.org/W1977918122","https://openalex.org/W1986195997","https://openalex.org/W1986931325","https://openalex.org/W1987800067","https://openalex.org/W1988520084","https://openalex.org/W1993914061","https://openalex.org/W1995145517","https://openalex.org/W1998325344","https://openalex.org/W2007093507","https://openalex.org/W2023916691","https://openalex.org/W2026693824","https://openalex.org/W2029108056","https://openalex.org/W2034829035","https://openalex.org/W2038614136","https://openalex.org/W2040135606","https://openalex.org/W2043192127","https://openalex.org/W2073459066","https://openalex.org/W2074528259","https://openalex.org/W2084029701","https://openalex.org/W2086306688","https://openalex.org/W2092766760","https://openalex.org/W2095838877","https://openalex.org/W2112027492","https://openalex.org/W2113642685","https://openalex.org/W2115671189","https://openalex.org/W2116479686","https://openalex.org/W2123401084","https://openalex.org/W2131074607","https://openalex.org/W2135046866","https://openalex.org/W2138278055","https://openalex.org/W2138353699","https://openalex.org/W2150593711","https://openalex.org/W2153143343","https://openalex.org/W2164343167","https://openalex.org/W2168464387","https://openalex.org/W2210084516","https://openalex.org/W2552942965","https://openalex.org/W2562854303","https://openalex.org/W2802627035","https://openalex.org/W3147239237","https://openalex.org/W4232239282","https://openalex.org/W4256734923","https://openalex.org/W6611419846","https://openalex.org/W6668990524"],"related_works":["https://openalex.org/W2168746368","https://openalex.org/W2147307220","https://openalex.org/W2619539882","https://openalex.org/W2350371552","https://openalex.org/W2924626991","https://openalex.org/W2257128078","https://openalex.org/W1909999440","https://openalex.org/W1576040274","https://openalex.org/W2094241856","https://openalex.org/W2101377286"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,75,88],"the":[4,53,61,68,84],"identification":[5],"of":[6,15,55,70],"nonlinear":[7],"systems":[8],"using":[9],"piecewise":[10],"linear":[11,66],"models.":[12],"By":[13],"means":[14],"a":[16,25,33,45],"sparse":[17,50],"over-parameterization,":[18],"this":[19,49],"challenging":[20],"problem":[21],"is":[22,58,64],"turned":[23],"into":[24],"convex":[26],"optimization":[27],"problem.":[28],"The":[29],"proposed":[30],"method":[31],"uses":[32],"likelihood-based":[34],"methodology":[35],"which":[36],"adaptively":[37],"penalizes":[38],"model":[39],"complexity":[40,63],"and":[41,60,78,83],"directly":[42],"leads":[43],"to":[44],"recursive":[46],"implementation.":[47],"In":[48],"estimation":[51],"approach,":[52],"tuning":[54],"user":[56],"parameters":[57],"avoided,":[59],"computational":[62],"kept":[65],"in":[67],"number":[69],"data":[71,80],"samples.":[72],"Numerical":[73],"examples":[74],"both":[76],"simulated":[77],"experimental":[79],"are":[81,86],"presented":[82],"results":[85],"compared":[87],"previously":[89],"published":[90],"methods.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}