{"id":"https://openalex.org/W3119228957","doi":"https://doi.org/10.1109/cdc42340.2020.9304508","title":"Sparse learning with concave regularization: relaxation of the irrepresentable condition","display_name":"Sparse learning with concave regularization: relaxation of the irrepresentable condition","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3119228957","doi":"https://doi.org/10.1109/cdc42340.2020.9304508","mag":"3119228957"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th 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/A5060410182","display_name":"V. Cerone","orcid":"https://orcid.org/0000-0002-5648-2075"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"V. Cerone","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082948079","display_name":"Sophie M. Fosson","orcid":"https://orcid.org/0000-0003-2316-7404"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. M. Fosson","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027982890","display_name":"D. Regruto","orcid":"https://orcid.org/0000-0002-2144-2786"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Regruto","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112585754","display_name":"A. Salam","orcid":null},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Salam","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5060410182"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":0.359,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57545748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"396","last_page":"401"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.984499990940094,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.7970447540283203},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7934836149215698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5535920262336731},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5384791493415833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5282477736473083},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4965127110481262},{"id":"https://openalex.org/keywords/elastic-net-regularization","display_name":"Elastic net regularization","score":0.4950260519981384},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.47788751125335693},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44118908047676086},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42728888988494873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4089575409889221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39837172627449036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37874582409858704},{"id":"https://openalex.org/keywords/feature-selection","display_name":"Feature selection","score":0.11336946487426758},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08905985951423645}],"concepts":[{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.7970447540283203},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7934836149215698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5535920262336731},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5384791493415833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5282477736473083},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4965127110481262},{"id":"https://openalex.org/C203868755","wikidata":"https://www.wikidata.org/wiki/Q5353562","display_name":"Elastic net regularization","level":3,"score":0.4950260519981384},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.47788751125335693},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44118908047676086},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42728888988494873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4089575409889221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39837172627449036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37874582409858704},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.11336946487426758},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08905985951423645},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W404764422","https://openalex.org/W1480376833","https://openalex.org/W1497748561","https://openalex.org/W1523985187","https://openalex.org/W1964603869","https://openalex.org/W1965125844","https://openalex.org/W1967344706","https://openalex.org/W2010824638","https://openalex.org/W2012961725","https://openalex.org/W2026821744","https://openalex.org/W2083567656","https://openalex.org/W2092058109","https://openalex.org/W2092479321","https://openalex.org/W2107861471","https://openalex.org/W2127300249","https://openalex.org/W2135046866","https://openalex.org/W2150940164","https://openalex.org/W2157969180","https://openalex.org/W2162312215","https://openalex.org/W2164278908","https://openalex.org/W2224745079","https://openalex.org/W2239232218","https://openalex.org/W2295652899","https://openalex.org/W2296616510","https://openalex.org/W2484335265","https://openalex.org/W2620850570","https://openalex.org/W2787894218","https://openalex.org/W2900204339","https://openalex.org/W2915622878","https://openalex.org/W2962741457","https://openalex.org/W2962761333","https://openalex.org/W2963500407","https://openalex.org/W2997644599","https://openalex.org/W3010860689","https://openalex.org/W3098306969","https://openalex.org/W3098595037","https://openalex.org/W3098834468","https://openalex.org/W3100937728","https://openalex.org/W4210968171","https://openalex.org/W4250955649","https://openalex.org/W4292363360","https://openalex.org/W6682241100","https://openalex.org/W6683664273","https://openalex.org/W6755202523","https://openalex.org/W6756280228"],"related_works":["https://openalex.org/W2468272465","https://openalex.org/W2429564919","https://openalex.org/W757986597","https://openalex.org/W4212910148","https://openalex.org/W4213314600","https://openalex.org/W4210804200","https://openalex.org/W4285814086","https://openalex.org/W3123944750","https://openalex.org/W2787225985","https://openalex.org/W2954774635"],"abstract_inverted_index":{"Learning":[0],"sparse":[1],"models":[2],"from":[3],"data":[4],"is":[5,42,78,112],"an":[6,50],"important":[7],"task":[8],"in":[9,59],"all":[10],"those":[11],"frameworks":[12],"where":[13],"relevant":[14],"information":[15],"should":[16],"be":[17,25],"identified":[18],"within":[19],"a":[20,64],"large":[21],"dataset.":[22],"This":[23],"can":[24],"achieved":[26],"by":[27],"formulating":[28],"and":[29,68,80,122],"solving":[30],"suitable":[31],"sparsity":[32],"promoting":[33],"optimization":[34],"problems.":[35],"As":[36],"to":[37,85,106,119],"linear":[38],"regression":[39],"models,":[40],"Lasso":[41,84],"the":[43,74,87,95,99,109,125],"most":[44],"popular":[45],"convex":[46],"approach,":[47,67],"based":[48],"on":[49],"\u2113":[51],"<sub":[52],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[53],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[54],"-norm":[55],"regularization.":[56],"In":[57,91],"contrast,":[58],"this":[60,93],"paper,":[61],"we":[62,69,114,123],"analyse":[63],"concave":[65],"regularized":[66],"prove":[70],"that":[71],"it":[72],"relaxes":[73],"irrepresentable":[75],"condition,":[76],"which":[77],"sufficient":[79],"essentially":[81],"necessary":[82,102],"for":[83],"select":[86],"right":[88],"significant":[89],"parameters.":[90],"practice,":[92],"has":[94],"benefit":[96],"of":[97,101],"reducing":[98],"number":[100],"measurements":[103],"with":[104],"respect":[105],"Lasso.":[107],"Since":[108],"proposed":[110],"problem":[111],"nonconvex,":[113],"also":[115],"discuss":[116],"different":[117],"algorithms":[118],"solve":[120],"it,":[121],"illustrate":[124],"obtained":[126],"enhancement":[127],"via":[128],"numerical":[129],"experiments.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}