{"id":"https://openalex.org/W2037209333","doi":"https://doi.org/10.1109/tac.2014.2351694","title":"Selective &lt;inline-formula&gt; &lt;tex-math notation=\"TeX\"&gt;$\\ell_{1}$&lt;/tex-math&gt;&lt;/inline-formula&gt; Minimization for Sparse Recovery","display_name":"Selective &lt;inline-formula&gt; &lt;tex-math notation=\"TeX\"&gt;$\\ell_{1}$&lt;/tex-math&gt;&lt;/inline-formula&gt; Minimization for Sparse Recovery","publication_year":2014,"publication_date":"2014-08-26","ids":{"openalex":"https://openalex.org/W2037209333","doi":"https://doi.org/10.1109/tac.2014.2351694","mag":"2037209333"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2351694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2351694","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00904836","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057366943","display_name":"Van Luong Le","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Van Luong Le","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy (CRAN), Universit\u00e9 de Lorraine, CNRS, France","Centre de Rech. en Autom. de Nancy (CRAN), Univ. de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy (CRAN), Universit\u00e9 de Lorraine, CNRS, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Rech. en Autom. de Nancy (CRAN), Univ. de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002662383","display_name":"Fabien Lauer","orcid":"https://orcid.org/0000-0002-2047-0734"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fabien Lauer","raw_affiliation_strings":["LORIA, Universit\u00e9 de Lorraine, CNRS, Inria, France","Machine Learning and Computational Biology"],"affiliations":[{"raw_affiliation_string":"LORIA, Universit\u00e9 de Lorraine, CNRS, Inria, France","institution_ids":["https://openalex.org/I4210121838","https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Machine Learning and Computational Biology","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110941908","display_name":"G\u00e9rard Bloch","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gerard Bloch","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy (CRAN), Universit\u00e9 de Lorraine, CNRS, France","Centre de Rech. en Autom. de Nancy (CRAN), Univ. de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy (CRAN), Universit\u00e9 de Lorraine, CNRS, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Rech. en Autom. de Nancy (CRAN), Univ. de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I4210110792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057366943"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":4.7307,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.94788701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"11","first_page":"3008","last_page":"3013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing 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/T10500","display_name":"Sparse and Compressive Sensing 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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11447","display_name":"Blind Source Separation Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/underdetermined-system","display_name":"Underdetermined system","score":0.8334047198295593},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6889495253562927},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6027415990829468},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.568882942199707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5688371062278748},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5621861219406128},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5516406893730164},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.49610719084739685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47304028272628784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44461774826049805},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4129531979560852},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4124774634838104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37625959515571594},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10470354557037354}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.8334047198295593},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6889495253562927},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6027415990829468},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.568882942199707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5688371062278748},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5621861219406128},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5516406893730164},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.49610719084739685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47304028272628784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44461774826049805},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4129531979560852},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4124774634838104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37625959515571594},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10470354557037354},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/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},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2014.2351694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2351694","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00904836v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00904836","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2014, 59 (11), pp.3008-3013. &#x27E8;10.1109/TAC.2014.2351694&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00904836v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00904836","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2014, 59 (11), pp.3008-3013. &#x27E8;10.1109/TAC.2014.2351694&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1992283848","https://openalex.org/W2015860231","https://openalex.org/W2086306688","https://openalex.org/W2099641086","https://openalex.org/W2107861471","https://openalex.org/W2127271355","https://openalex.org/W2154332973","https://openalex.org/W2159233329","https://openalex.org/W2281583968","https://openalex.org/W2296319761","https://openalex.org/W2296616510","https://openalex.org/W2499720122","https://openalex.org/W2950581048","https://openalex.org/W4205390861","https://openalex.org/W4250589301","https://openalex.org/W4250955649","https://openalex.org/W6672031039","https://openalex.org/W6763566331"],"related_works":["https://openalex.org/W2549922247","https://openalex.org/W2300663769","https://openalex.org/W1523391825","https://openalex.org/W2152231009","https://openalex.org/W1939631077","https://openalex.org/W2665564927","https://openalex.org/W2152589265","https://openalex.org/W2735239078","https://openalex.org/W2963414100","https://openalex.org/W2372875289"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"recent":[2],"approaches":[3,102],"to":[4,60,111],"switched":[5,112],"linear":[6,26],"system":[7,113],"identification":[8],"based":[9],"on":[10,32],"sparse":[11,20],"optimization,":[12],"the":[13,17,33,38,45,62,69,74,77,85,88,94,100],"paper":[14],"deals":[15],"with":[16],"recovery":[18],"of":[19,22,25,44,47,76],"solutions":[21],"underdetermined":[23],"systems":[24],"equations.":[27],"More":[28],"precisely,":[29],"we":[30],"focus":[31],"associated":[34],"convex":[35],"relaxation":[36,67],"where":[37],"\u2113":[39],"<sub":[40],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[42],"-norm":[43],"vector":[46],"variables":[48],"is":[49],"minimized":[50],"and":[51,80],"propose":[52],"a":[53],"new":[54,78,95],"iteratively":[55],"reweighted":[56],"scheme":[57,79,96],"in":[58],"order":[59],"improve":[61],"conditions":[63,83],"under":[64],"which":[65],"this":[66],"provides":[68],"sparsest":[70,89],"solution.":[71,90],"We":[72],"prove":[73],"convergence":[75,86],"derive":[81],"sufficient":[82],"for":[84,103],"towards":[87],"Experiments":[91],"show":[92],"that":[93],"significantly":[97],"improves":[98],"upon":[99],"previous":[101],"compressive":[104],"sensing.":[105],"Then,":[106],"these":[107],"results":[108],"are":[109],"applied":[110],"identification.":[114]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
