{"id":"https://openalex.org/W2008120425","doi":"https://doi.org/10.1109/tsp.2014.2321739","title":"A Measurement Rate-MSE Tradeoff for Compressive Sensing Through Partial Support Recovery","display_name":"A Measurement Rate-MSE Tradeoff for Compressive Sensing Through Partial Support Recovery","publication_year":2014,"publication_date":"2014-05-05","ids":{"openalex":"https://openalex.org/W2008120425","doi":"https://doi.org/10.1109/tsp.2014.2321739","mag":"2008120425"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2321739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2321739","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":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-144414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059041010","display_name":"Ricardo Blasco-Serrano","orcid":"https://orcid.org/0000-0003-2186-9402"},"institutions":[{"id":"https://openalex.org/I1306339040","display_name":"Ericsson (Sweden)","ror":"https://ror.org/05a7rhx54","country_code":"SE","type":"company","lineage":["https://openalex.org/I1306339040"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Ricardo Blasco-Serrano","raw_affiliation_strings":["Ericsson Research, Kista, Stockholm, SE, Sweden","Ericsson Research, Kista, Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0003-2186-9402","affiliations":[{"raw_affiliation_string":"Ericsson Research, Kista, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I1306339040"]},{"raw_affiliation_string":"Ericsson Research, Kista, Stockholm, Sweden","institution_ids":["https://openalex.org/I1306339040"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043094282","display_name":"Dave Zachariah","orcid":"https://orcid.org/0000-0002-6698-0166"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Dave Zachariah","raw_affiliation_strings":["Division of Systems and Control, Uppsala University, Uppsala, SE, Sweden","Division of Systems and Control, Department of Information Technology Uppsala University, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Systems and Control, Uppsala University, Uppsala, SE, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Division of Systems and Control, Department of Information Technology Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087199546","display_name":"Dennis Sundman","orcid":null},"institutions":[{"id":"https://openalex.org/I1306339040","display_name":"Ericsson (Sweden)","ror":"https://ror.org/05a7rhx54","country_code":"SE","type":"company","lineage":["https://openalex.org/I1306339040"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Dennis Sundman","raw_affiliation_strings":["Ericsson Research, Kista, Stockholm, SE, Sweden","Ericsson Research, Kista, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ericsson Research, Kista, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I1306339040"]},{"raw_affiliation_string":"Ericsson Research, Kista, Stockholm, Sweden","institution_ids":["https://openalex.org/I1306339040"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080600326","display_name":"Ragnar Thobaben","orcid":"https://orcid.org/0000-0001-9307-484X"},"institutions":[{"id":"https://openalex.org/I223464139","display_name":"Linnaeus University","ror":"https://ror.org/00j9qag85","country_code":"SE","type":"education","lineage":["https://openalex.org/I223464139"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Ragnar Thobaben","raw_affiliation_strings":["Communication Theory, ACCESS Linnaeus Centre, Stockholm, SE, Sweden","Communication Theory, School of Electrical Engineering, KTH Royal Institute of Technology and the ACCESS Linnaeus Centre, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Theory, ACCESS Linnaeus Centre, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I223464139"]},{"raw_affiliation_string":"Communication Theory, School of Electrical Engineering, KTH Royal Institute of Technology and the ACCESS Linnaeus Centre, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041348422","display_name":"Mikael Skoglund","orcid":"https://orcid.org/0000-0002-7926-5081"},"institutions":[{"id":"https://openalex.org/I223464139","display_name":"Linnaeus University","ror":"https://ror.org/00j9qag85","country_code":"SE","type":"education","lineage":["https://openalex.org/I223464139"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mikael Skoglund","raw_affiliation_strings":["Communication Theory, ACCESS Linnaeus Centre, Stockholm, SE, Sweden","Communication Theory, School of Electrical Engineering, KTH Royal Institute of Technology and the ACCESS Linnaeus Centre, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Theory, ACCESS Linnaeus Centre, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I223464139"]},{"raw_affiliation_string":"Communication Theory, School of Electrical Engineering, KTH Royal Institute of Technology and the ACCESS Linnaeus Centre, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5059041010"],"corresponding_institution_ids":["https://openalex.org/I1306339040"],"apc_list":null,"apc_paid":null,"fwci":0.6438,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68824237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"62","issue":"18","first_page":"4643","last_page":"4658"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9970999956130981,"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/estimator","display_name":"Estimator","score":0.7248601913452148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6614835262298584},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.645327091217041},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.629773736000061},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.6273103952407837},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5420189499855042},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.468070387840271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4470573663711548},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4043126702308655},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3878481388092041},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33121436834335327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2728807032108307},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1245776116847992}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7248601913452148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6614835262298584},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.645327091217041},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.629773736000061},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6273103952407837},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5420189499855042},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.468070387840271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4470573663711548},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4043126702308655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3878481388092041},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33121436834335327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2728807032108307},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1245776116847992},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2014.2321739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2321739","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"},{"id":"pmh:oai:DiVA.org:kth-144414","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-144414","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:kth-144414","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-144414","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W340244495","https://openalex.org/W1591116419","https://openalex.org/W1602844557","https://openalex.org/W1986931325","https://openalex.org/W1995990042","https://openalex.org/W2007134681","https://openalex.org/W2033563514","https://openalex.org/W2034260606","https://openalex.org/W2035379331","https://openalex.org/W2038915383","https://openalex.org/W2039851473","https://openalex.org/W2049349100","https://openalex.org/W2085493178","https://openalex.org/W2091482891","https://openalex.org/W2096282089","https://openalex.org/W2097323375","https://openalex.org/W2097415784","https://openalex.org/W2103519107","https://openalex.org/W2104357403","https://openalex.org/W2109515693","https://openalex.org/W2111273705","https://openalex.org/W2119667497","https://openalex.org/W2120961178","https://openalex.org/W2123629701","https://openalex.org/W2127271355","https://openalex.org/W2127300249","https://openalex.org/W2129131372","https://openalex.org/W2134008802","https://openalex.org/W2135046866","https://openalex.org/W2136020472","https://openalex.org/W2140006104","https://openalex.org/W2141556672","https://openalex.org/W2143236825","https://openalex.org/W2149206122","https://openalex.org/W2156587627","https://openalex.org/W2160979406","https://openalex.org/W2163014815","https://openalex.org/W2164452299","https://openalex.org/W2170805223","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2329024290","https://openalex.org/W2595897327","https://openalex.org/W2963322354","https://openalex.org/W3105340263","https://openalex.org/W4230058301","https://openalex.org/W4235713725","https://openalex.org/W4250955649","https://openalex.org/W4292408570","https://openalex.org/W6685129749"],"related_works":["https://openalex.org/W2521753262","https://openalex.org/W106751956","https://openalex.org/W2949375901","https://openalex.org/W4297479046","https://openalex.org/W2907746047","https://openalex.org/W4386434923","https://openalex.org/W2464015051","https://openalex.org/W148593058","https://openalex.org/W2187942274","https://openalex.org/W2582182730"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,13,27,34,39,43,46,52,59,65,68,72,88,97,106,113,135,139,158,175,178],"problem":[3],"of":[4,22,42,45,51,61,67,96,105,117,157,177],"estimating":[5],"sparse":[6,69],"vectors":[7],"from":[8],"noisy":[9],"linear":[10],"measurements":[11,62],"in":[12,49],"high":[14],"dimensionality":[15],"regime.":[16],"For":[17],"a":[18,94,102,132,147,170],"fixed":[19],"number":[20,60],"k":[21],"nonzero":[23],"entries,":[24],"we":[25,78,111,130,168],"study":[26],"fundamental":[28],"relationship":[29],"between":[30,134],"two":[31,128],"relevant":[32],"quantities:":[33],"measurement":[35,47,89,136],"rate,":[36],"which":[37],"characterizes":[38],"asymptotic":[40],"behavior":[41],"dimensions":[44],"matrix":[48],"terms":[50],"ratio":[53],"m/log":[54],"n":[55,64],"(with":[56],"m":[57],"being":[58],"and":[63,71,138,154,165],"dimension":[66],"vector),":[70],"estimation":[73,156],"mean":[74,114],"square":[75,115],"error.":[76,141],"First,":[77],"use":[79],"an":[80,118],"information-theoretic":[81],"approach":[82],"to":[83,91,173],"derive":[84,131],"sufficient":[85],"conditions":[86],"on":[87,181],"rate":[90,137],"reliably":[92],"recover":[93],"part":[95],"support":[98,123,151,183],"set":[99,124,152,184],"that":[100,120],"represents":[101],"certain":[103],"fraction":[104],"total":[107],"vector":[108],"power.":[109],"Second,":[110],"characterize":[112],"error":[116],"estimator":[119],"uses":[121],"partial":[122,182],"information.":[125],"Using":[126],"these":[127],"parts,":[129],"tradeoff":[133,143],"mean-square":[140],"This":[142],"is":[144],"achievable":[145],"using":[146],"two-step":[148],"approach:":[149],"first":[150],"recovery,":[153],"then":[155],"active":[159],"components.":[160],"Finally,":[161],"for":[162],"both":[163],"deterministic":[164],"random":[166],"vectors,":[167],"perform":[169],"numerical":[171],"evaluation":[172],"verify":[174],"advantages":[176],"methods":[179],"based":[180],"recovery.":[185]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}