{"id":"https://openalex.org/W2963852296","doi":"https://doi.org/10.1109/tit.2014.2363846","title":"Sequential Testing for Sparse Recovery","display_name":"Sequential Testing for Sparse Recovery","publication_year":2014,"publication_date":"2014-10-17","ids":{"openalex":"https://openalex.org/W2963852296","doi":"https://doi.org/10.1109/tit.2014.2363846","mag":"2963852296"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2363846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2363846","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":["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/A5110628632","display_name":"Matthew Malloy","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Matthew L. Malloy","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106921483","display_name":"Robert D. Nowak","orcid":"https://orcid.org/0000-0001-8743-0887"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert D. Nowak","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110628632"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":4.7307,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.95095685,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"12","first_page":"7862","last_page":"7873"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9987999796867371,"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":0.9965999722480774,"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/thresholding","display_name":"Thresholding","score":0.5409234166145325},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5365118980407715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46696144342422485},{"id":"https://openalex.org/keywords/sequential-analysis","display_name":"Sequential analysis","score":0.4543527662754059},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4426423907279968},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.43027687072753906},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4283779561519623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41736865043640137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3952292501926422},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3772912621498108},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3468022346496582},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2933918535709381},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.27960389852523804}],"concepts":[{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.5409234166145325},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5365118980407715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46696144342422485},{"id":"https://openalex.org/C80478641","wikidata":"https://www.wikidata.org/wiki/Q195771","display_name":"Sequential analysis","level":2,"score":0.4543527662754059},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4426423907279968},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.43027687072753906},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4283779561519623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41736865043640137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3952292501926422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3772912621498108},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3468022346496582},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2933918535709381},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.27960389852523804},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2363846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2363846","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1645620773","https://openalex.org/W1861050369","https://openalex.org/W1881419322","https://openalex.org/W1975906700","https://openalex.org/W2004792516","https://openalex.org/W2012037220","https://openalex.org/W2017693984","https://openalex.org/W2021748362","https://openalex.org/W2022510799","https://openalex.org/W2043698583","https://openalex.org/W2043807726","https://openalex.org/W2044267609","https://openalex.org/W2054778325","https://openalex.org/W2056134841","https://openalex.org/W2074073633","https://openalex.org/W2095649426","https://openalex.org/W2104134148","https://openalex.org/W2125840767","https://openalex.org/W2127327184","https://openalex.org/W2137103667","https://openalex.org/W2154912416","https://openalex.org/W2156540265","https://openalex.org/W2166205892","https://openalex.org/W2222505014","https://openalex.org/W2478708596","https://openalex.org/W2590512785","https://openalex.org/W2903768406","https://openalex.org/W2963121391","https://openalex.org/W2963917966","https://openalex.org/W3098676626","https://openalex.org/W4230704549","https://openalex.org/W4299922653","https://openalex.org/W6674621959","https://openalex.org/W6688923598","https://openalex.org/W6785301253"],"related_works":["https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2116854923","https://openalex.org/W2750730210","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W4233939244","https://openalex.org/W2730764323","https://openalex.org/W3123806511","https://openalex.org/W2900325930"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"sequential":[3,24,52,109,143],"methods":[4,25],"for":[5,38],"recovery":[6,165],"of":[7,35,65,86,108,117,170,201,224],"sparse":[8,22],"signals":[9],"in":[10,20,28,32,56,134],"high":[11,58],"dimensions.":[12],"When":[13],"compared":[14],"with":[15,44],"fixed":[16],"sample":[17],"size":[18],"procedures,":[19],"the":[21,33,57,62,84,99,103,118,150,167,187,199,221,225],"setting,":[23],"can":[26,146],"result":[27],"a":[29,45,139,155,205],"large":[30],"reduction":[31],"number":[34,64,169,200],"samples":[36],"needed":[37],"reliable":[39],"signal":[40],"support":[41,164],"recovery.":[42],"Starting":[43],"lower":[46,188],"bound,":[47],"we":[48,137,192],"show":[49,193],"any":[50,194],"coordinate-wise":[51],"sampling":[53],"procedure":[54,141,196],"fails":[55,197],"dimensional":[59],"limit":[60],"provided":[61,166,198],"average":[63,168],"measurements":[66,171,202],"per":[67,172],"dimension":[68,173,223],"is":[69,83,98,121,220],"less":[70,207],"then":[71],"log(s)/D(P":[72,177],"<sub":[73,77,90,94,178,182,210,214],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74,78,91,95,179,183,211,215],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[75,92,180,216],"||P":[76,93,181,213],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[79,96,184,212],"),":[80,185,217],"where":[81,218],"s":[82],"level":[85],"sparsity":[87],"and":[88,131],"D(P":[89],")":[97],"Kullback-Leibler":[100],"divergence":[101],"between":[102],"underlying":[104,119,151],"distributions.":[105],"A":[106],"series":[107],"probability":[110],"ratio":[111,158],"tests,":[112],"which":[113,145],"require":[114],"complete":[115],"knowledge":[116],"distributions":[120],"shown":[122],"to":[123],"achieve":[124],"this":[125],"bound.":[126,189],"Motivated":[127],"by":[128],"real-world":[129],"experiments":[130],"recent":[132],"work":[133],"adaptive":[135],"sensing,":[136],"introduce":[138],"simple":[140],"termed":[142],"thresholding,":[144],"be":[147],"implemented":[148],"when":[149],"testing":[152],"problem":[153],"satisfies":[154],"monotone":[156],"likelihood":[157],"assumption.":[159],"Sequential":[160],"thresholding":[161],"guarantees":[162],"exact":[163],"grows":[174,203],"faster":[175],"than":[176,208],"achieving":[186],"For":[190],"comparison,":[191],"nonsequential":[195],"at":[204],"rate":[206],"log(n)/D(P":[209],"n":[219],"total":[222],"problem.":[226]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}