{"id":"https://openalex.org/W3210664859","doi":"https://doi.org/10.1109/lsp.2021.3127467","title":"Transient Performance Analysis of the $\\ell _1$-RLS","display_name":"Transient Performance Analysis of the $\\ell _1$-RLS","publication_year":2021,"publication_date":"2021-11-11","ids":{"openalex":"https://openalex.org/W3210664859","doi":"https://doi.org/10.1109/lsp.2021.3127467","mag":"3210664859"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2021.3127467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3127467","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.06749","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007926005","display_name":"Wei Gao","orcid":"https://orcid.org/0000-0003-1722-2681"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Gao","raw_affiliation_strings":["School of Computer Science and Telecommunication Engineering, Jiangsu University, Zhenjiang, China","JiangSu University)"],"raw_orcid":"https://orcid.org/0000-0003-1722-2681","affiliations":[{"raw_affiliation_string":"School of Computer Science and Telecommunication Engineering, Jiangsu University, Zhenjiang, China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"JiangSu University)","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333004","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-2306-8860"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","Institute of Electrical and Electronics Engineers"],"raw_orcid":"https://orcid.org/0000-0003-2306-8860","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Institute of Electrical and Electronics Engineers","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009808175","display_name":"C\u00e9dric Richard","orcid":"https://orcid.org/0000-0003-2890-141X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Cedric Richard","raw_affiliation_strings":["CNRS, OCA, Universit&#x00E9; C&#x00F4;te d&#x2019;Azur, Nice, France","Northwestern\u00a0Polytechnical\u00a0University"],"raw_orcid":"https://orcid.org/0000-0003-2890-141X","affiliations":[{"raw_affiliation_string":"CNRS, OCA, Universit&#x00E9; C&#x00F4;te d&#x2019;Azur, Nice, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Northwestern\u00a0Polytechnical\u00a0University","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shi Wentao","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi Wentao","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","Northwestern\u00a0Polytechnical\u00a0University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Northwestern\u00a0Polytechnical\u00a0University","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027021820","display_name":"Qunfei Zhang","orcid":"https://orcid.org/0000-0003-4500-0779"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Qunfei Zhang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","University of Nice/Sophia Antipolis"],"raw_orcid":"https://orcid.org/0000-0003-4500-0779","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"University of Nice/Sophia Antipolis","institution_ids":["https://openalex.org/I201841394"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15498547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":null,"first_page":"90","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/norm","display_name":"Norm (philosophy)","score":0.6258350014686584},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.6213362812995911},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.6161038279533386},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5505568385124207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5339252948760986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5268914699554443},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5028523802757263},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5022914409637451},{"id":"https://openalex.org/keywords/transient-analysis","display_name":"Transient analysis","score":0.4837663173675537},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.47039470076560974},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.45253899693489075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4137815535068512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33717775344848633},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2579725980758667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11575791239738464},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.09916162490844727},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.08412456512451172},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06297281384468079}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6258350014686584},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.6213362812995911},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6161038279533386},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5505568385124207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5339252948760986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5268914699554443},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5028523802757263},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5022914409637451},{"id":"https://openalex.org/C2989121073","wikidata":"https://www.wikidata.org/wiki/Q1309019","display_name":"Transient analysis","level":3,"score":0.4837663173675537},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.47039470076560974},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.45253899693489075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4137815535068512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33717775344848633},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2579725980758667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11575791239738464},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.09916162490844727},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.08412456512451172},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06297281384468079},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lsp.2021.3127467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3127467","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2109.06749","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.06749","pdf_url":"https://arxiv.org/pdf/2109.06749","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:3210664859","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2109.06749v1","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":"doi:10.48550/arxiv.2109.06749","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.06749","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.06749","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.06749","pdf_url":"https://arxiv.org/pdf/2109.06749","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":[{"id":"https://openalex.org/G2113015678","display_name":"3IA C\u00f4te d'Azur","funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7302324134","display_name":"Distributed adaptation and learning over graph signals","funder_award_id":"ANR-19-CE48-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1525886636","https://openalex.org/W1538882755","https://openalex.org/W1547069917","https://openalex.org/W1970957555","https://openalex.org/W1987795083","https://openalex.org/W1998575688","https://openalex.org/W2038085771","https://openalex.org/W2042187938","https://openalex.org/W2047565655","https://openalex.org/W2050534673","https://openalex.org/W2062365357","https://openalex.org/W2100607681","https://openalex.org/W2113661696","https://openalex.org/W2127380533","https://openalex.org/W2135046866","https://openalex.org/W2141583550","https://openalex.org/W2166106181","https://openalex.org/W2344937232","https://openalex.org/W2511628571","https://openalex.org/W2746247766","https://openalex.org/W2800408204","https://openalex.org/W2920877073","https://openalex.org/W3000411373","https://openalex.org/W3139847728"],"related_works":["https://openalex.org/W3211956372","https://openalex.org/W2166086965","https://openalex.org/W2091990646","https://openalex.org/W2767319944","https://openalex.org/W2252612219","https://openalex.org/W2189194269","https://openalex.org/W2473693866","https://openalex.org/W1822764278","https://openalex.org/W2149684112","https://openalex.org/W2511628571","https://openalex.org/W1885777735","https://openalex.org/W2063714474","https://openalex.org/W1607790491","https://openalex.org/W2267078736","https://openalex.org/W2144129763","https://openalex.org/W2115193003","https://openalex.org/W1995164087","https://openalex.org/W14580838","https://openalex.org/W2117125227","https://openalex.org/W2140652649"],"abstract_inverted_index":{"The":[0],"recursive":[1],"least-squares":[2],"algorithm":[3],"with":[4],"<inline-formula":[5,13,61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,14,62],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[7,15,63],"notation=\"LaTeX\">$\\ell":[8,16,64],"_1$</tex-math></inline-formula>":[9,17,65],"-norm":[10],"regularization":[11],"(":[12],"-RLS)":[18],"exhibits":[19],"excellent":[20],"performance":[21],"in":[22,30,43,67],"terms":[23],"of":[24,32,55,59,79],"convergence":[25],"rate":[26],"and":[27,70],"steady-state":[28],"error":[29,72],"identification":[31],"sparse":[33],"systems.":[34],"Nevertheless":[35],"few":[36],"works":[37],"have":[38],"studied":[39],"its":[40,45],"stochastic":[41],"behavior,":[42],"particular":[44],"transient":[46,57],"performance.":[47],"In":[48],"this":[49],"letter,":[50],"we":[51],"derive":[52],"analytical":[53],"models":[54],"the":[56,60,68,77],"behavior":[58],"-RLS":[66],"mean":[69],"mean-square":[71],"sense.":[73],"Simulation":[74],"results":[75],"illustrate":[76],"accuracy":[78],"these":[80],"models.":[81]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
