{"id":"https://openalex.org/W1638872750","doi":"https://doi.org/10.1109/isit.2015.7282514","title":"On recovery of sparse signals with block structures","display_name":"On recovery of sparse signals with block structures","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1638872750","doi":"https://doi.org/10.1109/isit.2015.7282514","mag":"1638872750"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5100455171","display_name":"Pan Li","orcid":"https://orcid.org/0000-0001-6522-2446"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pan Li","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, China","[Dept. of Electronic Engineering, Tsinghua University, China]"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Dept. of Electronic Engineering, Tsinghua University, China]","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100752236","display_name":"Wei Dai","orcid":"https://orcid.org/0000-0002-4781-3485"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Wei Dai","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, Imperial College, London, UK","Department of Electronic and Electrical Engineering Imperial College London UK"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, Imperial College, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Electronic and Electrical Engineering Imperial College London UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102879805","display_name":"Huadong Meng","orcid":"https://orcid.org/0000-0001-7422-9535"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huadong Meng","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, China","[Dept. of Electronic Engineering, Tsinghua University, China]"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Dept. of Electronic Engineering, Tsinghua University, China]","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003384431","display_name":"Xiqin Wang","orcid":"https://orcid.org/0000-0002-6980-0466"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiqin Wang","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, China","[Dept. of Electronic Engineering, Tsinghua University, China]"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Dept. of Electronic Engineering, Tsinghua University, China]","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100455171"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03046339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"546","last_page":"550"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9977999925613403,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/block","display_name":"Block (permutation group theory)","score":0.7894901037216187},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5922841429710388},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5650678873062134},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5527021288871765},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5463337302207947},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5164711475372314},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4979715347290039},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.49112483859062195},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.46910104155540466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46491318941116333},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4137968122959137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3829321265220642},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3480575978755951},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23841717839241028},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0801895260810852},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07928386330604553}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7894901037216187},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5922841429710388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5650678873062134},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5527021288871765},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5463337302207947},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5164711475372314},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4979715347290039},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.49112483859062195},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.46910104155540466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46491318941116333},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4137968122959137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3829321265220642},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3480575978755951},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23841717839241028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0801895260810852},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07928386330604553},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2015.7282514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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":22,"referenced_works":["https://openalex.org/W1881709950","https://openalex.org/W1987371344","https://openalex.org/W2044762091","https://openalex.org/W2054667730","https://openalex.org/W2082029531","https://openalex.org/W2098110139","https://openalex.org/W2103539935","https://openalex.org/W2123202508","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2144006746","https://openalex.org/W2147276092","https://openalex.org/W2158068051","https://openalex.org/W2164595191","https://openalex.org/W2296616510","https://openalex.org/W2339127734","https://openalex.org/W2610971674","https://openalex.org/W2950559108","https://openalex.org/W3098848552","https://openalex.org/W3099257477","https://openalex.org/W4250955649","https://openalex.org/W6683368909"],"related_works":["https://openalex.org/W2091883426","https://openalex.org/W3173235360","https://openalex.org/W2737338842","https://openalex.org/W2174948646","https://openalex.org/W3005946484","https://openalex.org/W2024017047","https://openalex.org/W4318256793","https://openalex.org/W2051410394","https://openalex.org/W2594370889","https://openalex.org/W2390720471"],"abstract_inverted_index":{"It":[0,32],"has":[1,132],"been":[2,133],"widely":[3],"recognized":[4],"that":[5,35,141],"structure":[6,21],"information":[7],"helps":[8],"in":[9,78,135,153],"sparse":[10,30,38,65,74,98,187],"signal":[11,39],"recovery.":[12],"In":[13],"this":[14,86],"paper,":[15],"a":[16,46,54],"general":[17],"form":[18],"of":[19,56,85,120,150,159,162],"block":[20,47,68,73,186],"is":[22,25,33,88,104],"considered,":[23],"which":[24,175],"often":[26],"referred":[27],"to":[28,89,95],"hierarchically":[29,97],"model.":[31],"assumed":[34],"the":[36,63,71,91,107,113,142,148,157,160,167,172,176,182],"unknown":[37],"can":[40],"be":[41],"divided":[42],"into":[43],"blocks,":[44,155],"and":[45,70,112,156,185],"contains":[48],"either":[49],"all":[50],"zero":[51],"components":[52,152],"or":[53],"fraction":[55,149],"nonzero":[57,79,151,154,163],"components.":[58,164],"This":[59],"model":[60,66,75],"sits":[61],"between":[62],"standard":[64],"(without":[67],"structure)":[69],"strict":[72],"(all":[76],"entries":[77],"blocks":[80],"are":[81,189],"nonzero).":[82],"The":[83,100,117],"focus":[84],"paper":[87],"analyze":[90],"convex":[92,177],"optimization":[93,178],"approach":[94],"recover":[96],"signals.":[99],"technique":[101],"we":[102,170],"employed":[103],"based":[105],"on":[106,145,166],"approximated":[108],"message":[109],"passing":[110],"framework":[111],"associated":[114],"state":[115],"evolution.":[116],"minimum":[118],"number":[119],"measurements":[121],"required":[122],"for":[123,181],"exact":[124],"recovery,":[125],"also":[126],"known":[127],"as":[128],"phase":[129],"transition":[130],"(PT),":[131],"quantified":[134],"an":[136],"asymptotic":[137],"region.":[138],"We":[139],"show":[140],"PT":[143,168],"depends":[144],"two":[146],"parameters:":[147],"uniformity":[158],"magnitudes":[161],"Based":[165],"analysis,":[169],"characterize":[171],"regions":[173],"at":[174],"methods":[179],"designed":[180],"standard,":[183],"hierarchically,":[184],"models":[188],"optimal":[190],"respectively.":[191]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}