{"id":"https://openalex.org/W1526740018","doi":"https://doi.org/10.1109/icassp.2015.7178637","title":"Phase transition of joint-sparse recovery from multiple measurements via convex optimization","display_name":"Phase transition of joint-sparse recovery from multiple measurements via convex optimization","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1526740018","doi":"https://doi.org/10.1109/icassp.2015.7178637","mag":"1526740018"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2015.7178637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2015.7178637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5046960750","display_name":"Shih-Wei Hu","orcid":"https://orcid.org/0000-0003-4776-4836"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I4210098366","display_name":"Institute of Information Science, Academia Sinica","ror":"https://ror.org/00z83z196","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210098366","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shih-Wei Hu","raw_affiliation_strings":["Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC","Department of Comp. Sci. & Inf. Eng., National Taiwan University, Taipei, Taiwan ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC","institution_ids":["https://openalex.org/I4210098366"]},{"raw_affiliation_string":"Department of Comp. Sci. & Inf. Eng., National Taiwan University, Taipei, Taiwan ROC","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053021397","display_name":"Gang-Xuan Lin","orcid":"https://orcid.org/0000-0002-7138-9397"},"institutions":[{"id":"https://openalex.org/I4210098366","display_name":"Institute of Information Science, Academia Sinica","ror":"https://ror.org/00z83z196","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210098366","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Gang-Xuan Lin","raw_affiliation_strings":["Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC","institution_ids":["https://openalex.org/I4210098366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018491742","display_name":"Sung-Hsien Hsieh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098366","display_name":"Institute of Information Science, Academia Sinica","ror":"https://ror.org/00z83z196","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210098366","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Sung-Hsien Hsieh","raw_affiliation_strings":["Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC","institution_ids":["https://openalex.org/I4210098366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042784674","display_name":"Chun-Shien Lu","orcid":"https://orcid.org/0000-0002-5900-0019"},"institutions":[{"id":"https://openalex.org/I4210098366","display_name":"Institute of Information Science, Academia Sinica","ror":"https://ror.org/00z83z196","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210098366","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chun-Shien Lu","raw_affiliation_strings":["Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica, Institute of Information Science, Taipei, Taiwan ROC","institution_ids":["https://openalex.org/I4210098366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0099,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84293024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3576","last_page":"3580"},"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":0.9969000220298767,"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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5005314350128174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.50048828125},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.451664000749588},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4471834897994995},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4449731409549713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44365549087524414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4364386200904846},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.42609888315200806},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42008838057518005},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35726088285446167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2998470664024353},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21728691458702087},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17547264695167542},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1283833384513855}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5005314350128174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.50048828125},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.451664000749588},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4471834897994995},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4449731409549713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44365549087524414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4364386200904846},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.42609888315200806},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42008838057518005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35726088285446167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2998470664024353},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21728691458702087},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17547264695167542},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1283833384513855},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/icassp.2015.7178637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2015.7178637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":21,"referenced_works":["https://openalex.org/W565214016","https://openalex.org/W1976933232","https://openalex.org/W1978136393","https://openalex.org/W1986931325","https://openalex.org/W2011655966","https://openalex.org/W2017761965","https://openalex.org/W2025223969","https://openalex.org/W2078776517","https://openalex.org/W2099641086","https://openalex.org/W2104266187","https://openalex.org/W2127271355","https://openalex.org/W2145096794","https://openalex.org/W2147276092","https://openalex.org/W2152279006","https://openalex.org/W2159563318","https://openalex.org/W2162409952","https://openalex.org/W2164696938","https://openalex.org/W2170805223","https://openalex.org/W2296616510","https://openalex.org/W4250955649","https://openalex.org/W6685129749"],"related_works":["https://openalex.org/W2795378890","https://openalex.org/W4300566153","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2012685253","https://openalex.org/W2037437483","https://openalex.org/W3100053256","https://openalex.org/W2373292822","https://openalex.org/W2377924059","https://openalex.org/W3017139193"],"abstract_inverted_index":{"In":[0,91],"sparse":[1,31],"signal":[2],"recovery":[3,16,32,87,143,160],"of":[4,23,102,141,157,182],"compressive":[5],"sensing,":[6],"the":[7,11,21,27,80,117,125,136,152,155,177],"phase":[8,24,42,68,100,179],"transition":[9,25,43,69,101,180],"determines":[10,26],"edge,":[12],"which":[13],"separates":[14],"successful":[15,142,166],"and":[17,85,120,123,138],"failed":[18],"recovery.":[19],"Moreover,":[20],"width":[22],"vague":[28],"region,":[29],"where":[30],"is":[33,56,107,165,172],"achieved":[34],"in":[35,45,64],"a":[36,96,149,158],"probabilistic":[37],"manner.":[38],"Earlier":[39],"works":[40],"on":[41,72,99,151],"analysis":[44,70,84,98,171],"either":[46],"single":[47],"measurement":[48,53],"vector":[49],"(SMV)":[50],"or":[51,59,167],"multiple":[52],"vectors":[54],"(MMVs)":[55],"too":[57],"strict":[58],"ideal":[60],"to":[61,78,115,174],"be":[62],"satisfied":[63],"real":[65],"world.":[66],"Recently,":[67],"based":[71],"conic":[73],"geometry":[74],"has":[75],"been":[76],"found":[77],"close":[79],"gap":[81],"between":[82],"theoretical":[83,170],"practical":[86,178],"result":[88],"for":[89,128],"SMV.":[90],"this":[92],"paper,":[93],"we":[94,113,146],"explore":[95],"rigorous":[97],"MMVs.":[103,183],"Such":[104],"an":[105],"extension":[106],"not":[108],"intuitive":[109],"at":[110],"all":[111],"since":[112],"need":[114],"redefine":[116],"null":[118],"space":[119],"descent":[121],"cone,":[122],"evaluate":[124],"statistical":[126],"dimension":[127],"\u2113":[129],"<sub":[130],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2,1</sub>":[132],"-norm.":[133],"By":[134],"presenting":[135],"necessary":[137],"sufficient":[139],"condition":[140],"from":[144],"MMVs,":[145],"can":[147],"have":[148],"boundary":[150],"probability":[153],"that":[154],"solution":[156],"MMVs":[159],"problem":[161],"by":[162],"convex":[163],"programming":[164],"not.":[168],"Our":[169],"verified":[173],"accurately":[175],"predict":[176],"diagram":[181]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
