{"id":"https://openalex.org/W2171787095","doi":"https://doi.org/10.1109/tit.2012.2189196","title":"Subspace Methods for Joint Sparse Recovery","display_name":"Subspace Methods for Joint Sparse Recovery","publication_year":2012,"publication_date":"2012-02-27","ids":{"openalex":"https://openalex.org/W2171787095","doi":"https://doi.org/10.1109/tit.2012.2189196","mag":"2171787095"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2189196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2189196","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1004.3071","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kiryung Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kiryung Lee","raw_affiliation_strings":["Coordinated Science Laboratory and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yoram Bresler","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yoram Bresler","raw_affiliation_strings":["Coordinated Science Laboratory and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":null,"display_name":"Marius Junge","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marius Junge","raw_affiliation_strings":["Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":18.1996,"has_fulltext":false,"cited_by_count":183,"citation_normalized_percentile":{"value":0.99578848,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"58","issue":"6","first_page":"3613","last_page":"3641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.5552999973297119,"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":0.5552999973297119,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.39730000495910645,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.018200000748038292,"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/matching-pursuit","display_name":"Matching pursuit","score":0.748199999332428},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7365000247955322},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6633999943733215},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.6299999952316284},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.5630000233650208},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.542900025844574},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.5070000290870667},{"id":"https://openalex.org/keywords/signal-subspace","display_name":"Signal subspace","score":0.504800021648407},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4742000102996826},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4553999900817871}],"concepts":[{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.748199999332428},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7365000247955322},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6633999943733215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6412000060081482},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.6299999952316284},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.5630000233650208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5561000108718872},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.542900025844574},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.5070000290870667},{"id":"https://openalex.org/C2777121530","wikidata":"https://www.wikidata.org/wiki/Q7512739","display_name":"Signal subspace","level":4,"score":0.504800021648407},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4742000102996826},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4553999900817871},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3846000134944916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3714999854564667},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.36739999055862427},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.36570000648498535},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.3628000020980835},{"id":"https://openalex.org/C172051844","wikidata":"https://www.wikidata.org/wiki/Q5280438","display_name":"Direction of arrival","level":3,"score":0.36149999499320984},{"id":"https://openalex.org/C2989281035","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Signal recovery","level":3,"score":0.3612000048160553},{"id":"https://openalex.org/C99217422","wikidata":"https://www.wikidata.org/wiki/Q4867576","display_name":"Basis pursuit","level":4,"score":0.3246999979019165},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.3215000033378601},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3174999952316284},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30880001187324524},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.3043999969959259},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2930999994277954},{"id":"https://openalex.org/C137270730","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Detection theory","level":3,"score":0.28600001335144043},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.2775999903678894},{"id":"https://openalex.org/C2778545087","wikidata":"https://www.wikidata.org/wiki/Q4795883","display_name":"Array processing","level":4,"score":0.27399998903274536},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C24252448","wikidata":"https://www.wikidata.org/wiki/Q7573786","display_name":"Sparse PCA","level":3,"score":0.27160000801086426},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C66251956","wikidata":"https://www.wikidata.org/wiki/Q7451086","display_name":"Sensor array","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2012.2189196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2189196","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1004.3071","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1004.3071","pdf_url":"https://arxiv.org/pdf/1004.3071","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1004.3071","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1004.3071","pdf_url":"https://arxiv.org/pdf/1004.3071","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W131753375","https://openalex.org/W1848264314","https://openalex.org/W1974774078","https://openalex.org/W1986583171","https://openalex.org/W1989970939","https://openalex.org/W1991215696","https://openalex.org/W2012199071","https://openalex.org/W2012961725","https://openalex.org/W2018429487","https://openalex.org/W2028781966","https://openalex.org/W2030449718","https://openalex.org/W2050568249","https://openalex.org/W2055064119","https://openalex.org/W2057503509","https://openalex.org/W2074054045","https://openalex.org/W2075894130","https://openalex.org/W2078204800","https://openalex.org/W2083042020","https://openalex.org/W2085842701","https://openalex.org/W2086413318","https://openalex.org/W2090861849","https://openalex.org/W2103519107","https://openalex.org/W2112387511","https://openalex.org/W2113638573","https://openalex.org/W2114129195","https://openalex.org/W2116148865","https://openalex.org/W2119862467","https://openalex.org/W2125536150","https://openalex.org/W2125680629","https://openalex.org/W2128659236","https://openalex.org/W2129131372","https://openalex.org/W2129569662","https://openalex.org/W2129638195","https://openalex.org/W2130480872","https://openalex.org/W2134474909","https://openalex.org/W2136274821","https://openalex.org/W2137198385","https://openalex.org/W2140728947","https://openalex.org/W2141541120","https://openalex.org/W2141713516","https://openalex.org/W2143330906","https://openalex.org/W2145096794","https://openalex.org/W2145962650","https://openalex.org/W2148154358","https://openalex.org/W2149755721","https://openalex.org/W2152279006","https://openalex.org/W2152374199","https://openalex.org/W2156587627","https://openalex.org/W2159514083","https://openalex.org/W2162409952","https://openalex.org/W2162654459","https://openalex.org/W2164630728","https://openalex.org/W2164696938","https://openalex.org/W2168335598","https://openalex.org/W2168693853","https://openalex.org/W2169326247","https://openalex.org/W4213311204","https://openalex.org/W4250955649","https://openalex.org/W4255333822","https://openalex.org/W4300819821","https://openalex.org/W6674566186","https://openalex.org/W6679608192","https://openalex.org/W6721875038","https://openalex.org/W6724463508"],"related_works":[],"abstract_inverted_index":{"We":[0,100,150],"propose":[1,151],"robust":[2],"and":[3,78,81,89,186],"efficient":[4,195],"algorithms":[5],"for":[6,67,83],"the":[7,18,39,45,57,68,95,104,141,147,161,212,226,236],"joint":[8,84],"sparse":[9,22,47,85],"recovery":[10,86],"problem":[11,73],"in":[12,74,137,188,206,235],"compressed":[13],"sensing,":[14],"which":[15,42,155,182,231],"simultaneously":[16],"recover":[17],"supports":[19],"of":[20,44,70,98,110,122,140,208,211,225,239],"jointly":[21,46],"signals":[23],"from":[24],"their":[25],"multiple":[26],"measurement":[27,123],"vectors":[28],"obtained":[29],"through":[30],"a":[31,36,92,119,172,193,198,209,221],"common":[32],"sensing":[33],"matrix.":[34],"In":[35,54,131,216],"favorable":[37],"situation,":[38],"unknown":[40],"matrix,":[41],"consists":[43],"signals,":[48],"has":[49,232],"linearly":[50],"independent":[51],"nonzero":[52],"rows.":[53],"this":[55,132,189],"case,":[56,133],"MUltiple":[58],"SIgnal":[59],"Classification":[60],"(MUSIC)":[61],"algorithm,":[62,175],"originally":[63],"proposed":[64,80,185],"by":[65,87],"Schmidt":[66],"direction":[69],"arrival":[71],"estimation":[72,229],"sensor":[75],"array":[76],"processing":[77],"later":[79],"analyzed":[82,187],"Feng":[88],"Bresler,":[90],"provides":[91,192],"guarantee":[93],"with":[94,118,126,171,197],"minimum":[96],"number":[97,121],"measurements.":[99],"focus":[101],"instead":[102],"on":[103,157],"unfavorable":[105,168],"but":[106],"practically":[107],"significant":[108],"case":[109],"rank":[111],"defect":[112],"or":[113,125],"ill-conditioning.":[114],"This":[115],"situation":[116],"arises":[117],"limited":[120],"vectors,":[124],"highly":[127],"correlated":[128],"signal":[129,227],"components.":[130],"MUSIC":[134,153,158],"fails":[135],"and,":[136],"practice,":[138],"none":[139],"existing":[142],"methods":[143],"can":[144],"consistently":[145],"approach":[146],"fundamental":[148],"limit.":[149],"subspace-augmented":[152],"(SA-MUSIC),":[154],"improves":[156],"such":[159,167],"that":[160],"support":[162],"is":[163,183],"reliably":[164],"recovered":[165],"under":[166],"conditions.":[169],"Combined":[170],"subspace-based":[173],"greedy":[174],"known":[176],"as":[177],"Orthogonal":[178],"Subspace":[179],"Matching":[180],"Pursuit,":[181],"also":[184,219],"paper,":[190],"SA-MUSIC":[191],"computationally":[194],"algorithm":[196],"performance":[199,202],"guarantee.":[200],"The":[201],"guarantees":[203],"are":[204],"given":[205],"terms":[207],"version":[210],"restricted":[213],"isometry":[214],"property.":[215],"particular,":[217],"we":[218],"present":[220],"non-asymptotic":[222],"perturbation":[223],"analysis":[224],"subspace":[228],"step,":[230],"been":[233],"missing":[234],"previous":[237],"studies":[238],"MUSIC.":[240]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":18},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
