{"id":"https://openalex.org/W4412610069","doi":"https://doi.org/10.1109/tsp.2025.3588294","title":"Analyses of Successful Sparse Signal Recovery via Tail-$\\ell_{2}$ Minimization","display_name":"Analyses of Successful Sparse Signal Recovery via Tail-$\\ell_{2}$ Minimization","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4412610069","doi":"https://doi.org/10.1109/tsp.2025.3588294"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2025.3588294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3588294","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-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/A5017291621","display_name":"Menglin Ye","orcid":"https://orcid.org/0009-0003-7377-7881"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Menglin Ye","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0003-7377-7881","affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shidong Li","orcid":"https://orcid.org/0000-0003-1446-2081"},"institutions":[{"id":"https://openalex.org/I71838634","display_name":"San Francisco State University","ror":"https://ror.org/05ykr0121","country_code":"US","type":"education","lineage":["https://openalex.org/I71838634"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shidong Li","raw_affiliation_strings":["Department of Mathematics, San Francisco State University, San Francisco, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1446-2081","affiliations":[{"raw_affiliation_string":"Department of Mathematics, San Francisco State University, San Francisco, CA, USA","institution_ids":["https://openalex.org/I71838634"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100349426","display_name":"Cheng Cheng","orcid":"https://orcid.org/0000-0003-3831-5772"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Cheng","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3831-5772","affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022119439","display_name":"Jun Xian","orcid":"https://orcid.org/0000-0003-3772-5622"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Xian","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3772-5622","affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017291621"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":2.2332,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86635464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"73","issue":null,"first_page":"2928","last_page":"2939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9975000023841858,"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":0.9975000023841858,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9873999953269958,"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/minification","display_name":"Minification","score":0.6696070432662964},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5715104341506958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4893209636211395},{"id":"https://openalex.org/keywords/signal-recovery","display_name":"Signal recovery","score":0.4748910963535309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4696948528289795},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.4540863037109375},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.44200533628463745},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.43701454997062683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39477479457855225},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.3827960193157196},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3421127200126648},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16126912832260132},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.10123497247695923}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6696070432662964},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5715104341506958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4893209636211395},{"id":"https://openalex.org/C2989281035","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Signal recovery","level":3,"score":0.4748910963535309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4696948528289795},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.4540863037109375},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.44200533628463745},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.43701454997062683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39477479457855225},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.3827960193157196},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3421127200126648},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16126912832260132},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.10123497247695923},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2025.3588294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3588294","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5424339691","display_name":null,"funder_award_id":"12371104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G83191557","display_name":null,"funder_award_id":"2023A1515012787","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G8634277984","display_name":null,"funder_award_id":"12171490","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W1566464285","https://openalex.org/W1978885364","https://openalex.org/W1980079540","https://openalex.org/W1991857131","https://openalex.org/W1999867771","https://openalex.org/W2003266823","https://openalex.org/W2017761965","https://openalex.org/W2046658845","https://openalex.org/W2061761249","https://openalex.org/W2065321782","https://openalex.org/W2075506710","https://openalex.org/W2078204800","https://openalex.org/W2089106993","https://openalex.org/W2091893102","https://openalex.org/W2092068110","https://openalex.org/W2094607565","https://openalex.org/W2095978736","https://openalex.org/W2099100030","https://openalex.org/W2101675075","https://openalex.org/W2103519107","https://openalex.org/W2107861471","https://openalex.org/W2109449402","https://openalex.org/W2113642685","https://openalex.org/W2115706991","https://openalex.org/W2119667497","https://openalex.org/W2119883478","https://openalex.org/W2127271355","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2136235822","https://openalex.org/W2145096794","https://openalex.org/W2147846067","https://openalex.org/W2148108699","https://openalex.org/W2148154358","https://openalex.org/W2156587627","https://openalex.org/W2160979406","https://openalex.org/W2168745297","https://openalex.org/W2483969342","https://openalex.org/W2613533321","https://openalex.org/W2753756265","https://openalex.org/W2762625016","https://openalex.org/W2791621240","https://openalex.org/W2798574788","https://openalex.org/W2883105305","https://openalex.org/W2910526316","https://openalex.org/W2923167415","https://openalex.org/W2937331273","https://openalex.org/W2947589789","https://openalex.org/W2963322354","https://openalex.org/W2963598490","https://openalex.org/W2963814976","https://openalex.org/W2963846424","https://openalex.org/W2972473258","https://openalex.org/W2974891937","https://openalex.org/W3008971790","https://openalex.org/W3133712109","https://openalex.org/W4200016571","https://openalex.org/W4234595371","https://openalex.org/W4283168603","https://openalex.org/W4283717384","https://openalex.org/W4292363360","https://openalex.org/W4296708208","https://openalex.org/W4324387449","https://openalex.org/W4388895069","https://openalex.org/W4403140524"],"related_works":["https://openalex.org/W2136676913","https://openalex.org/W2208932071","https://openalex.org/W2465351041","https://openalex.org/W2308961925","https://openalex.org/W2601968125","https://openalex.org/W2105702309","https://openalex.org/W2103221199","https://openalex.org/W2951689389","https://openalex.org/W4298038717","https://openalex.org/W2069132725"],"abstract_inverted_index":{"Recovery":[0],"guarantee":[1],"analyses":[2,74,125],"of":[3,20,56,75,94,110,126,135,152,165,180,233],"sparse":[4,21,50,235],"signals":[5],"by":[6,24,33,79,238],"the":[7,18,57,73,76,80,92,95,130,163,181,189,197,199,227,230,234,239],"tail-<inline-formula":[8,36,58,81,96,113,240],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,27,37,59,82,97,114,156,167,174,185,191,201,208,216,241],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[10,28,38,60,83,98,115,157,168,192,202,209,217,242],"notation=\"LaTeX\">$\\ell_{2}$</tex-math></inline-formula>":[11,29,39,61,84,99,243],"minimization":[12,117,244],"approach":[13],"are":[14],"presented.":[15],"Known":[16],"for":[17,91,129],"lack":[19],"recovery":[22,78,154,237],"capacity":[23],"traditional":[25],"<inline-formula":[26,155,166,190,200,207,215],"minimization,":[30],"its":[31,65],"variation":[32],"an":[34,177],"iterative":[35],"penalty":[40],"procedure,":[41],"however,":[42],"is":[43,70,101,104,141,159,176],"shown":[44],"to":[45,123,162],"be":[46],"exceedingly":[47],"effective":[48],"in":[49],"selections.":[51],"The":[52,119,149,187],"analytical":[53],"close-form":[54],"solutions":[55],"formulation":[62],"also":[63],"reveal":[64],"superb":[66],"efficiency.":[67],"This":[68],"article":[69],"focused":[71],"on":[72,146],"successful":[77,153,231],"technique.":[85],"A":[86],"necessary":[87],"and":[88,132,206,229],"sufficient":[89,127],"condition":[90],"uniqueness":[93],"minimizer":[100],"established,":[102],"which":[103],"seen":[105],"inherently":[106],"different":[107],"from":[108],"that":[109],"a":[111,133],"similar":[112],"notation=\"LaTeX\">$\\ell_{1}$</tex-math></inline-formula>":[116],"problem.":[118],"inherent":[120],"differences":[121],"lead":[122],"further":[124],"conditions":[128],"uniqueness,":[131],"notion":[134],"admissible":[136],"solutions.":[137],"Successful":[138],"probability":[139,151,232],"analysis":[140],"then":[142],"carried":[143],"out":[144],"based":[145],"these":[147],"conditions.":[148],"estimated":[150,178],"notation=\"LaTeX\">$\\mathbb{P}_{T}$</tex-math></inline-formula>":[158,203,210],"righteously":[160],"related":[161],"cardinality":[164],"notation=\"LaTeX\">$T^{c}":[169],"\\cap":[170,194,219],"S$</tex-math></inline-formula>,":[171],"where":[172],"<italic":[173,184],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</i>":[175],"support":[179],"solution":[182],"index":[183],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">S</i>.":[186],"smaller":[188],"notation=\"LaTeX\">$|T^{c}":[193,218],"S|$</tex-math></inline-formula>":[195,220],"is,":[196],"greater":[198],"will":[204],"be,":[205],"naturally":[211],"approaches":[212,221],"1":[213],"as":[214],"0.":[222],"Numerical":[223],"experiments":[224],"sufficiently":[225],"validate":[226],"efficiency":[228],"signal":[236],"procedure.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}