{"id":"https://openalex.org/W1978694936","doi":"https://doi.org/10.1109/tit.2013.2258071","title":"The Sample Complexity of Search Over Multiple Populations","display_name":"The Sample Complexity of Search Over Multiple Populations","publication_year":2013,"publication_date":"2013-04-12","ids":{"openalex":"https://openalex.org/W1978694936","doi":"https://doi.org/10.1109/tit.2013.2258071","mag":"1978694936"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2013.2258071","doi":"https://doi.org/10.1109/tit.2013.2258071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2258071","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1209.1380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110628632","display_name":"Matthew Malloy","orcid":null,"observed_orcids":[]},"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":"Matthew L. Malloy","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101848896","display_name":"Gongguo Tang","orcid":"https://orcid.org/0000-0002-7879-1338","observed_orcids":["https://orcid.org/0000-0002-7879-1338"]},"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":"Gongguo Tang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#","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","observed_orcids":["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, WI, USA","Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Wisconsin, Madison, WI, USA#TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.1168,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88471144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"59","issue":"8","first_page":"5039","last_page":"5050"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.323199987411499,"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"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.323199987411499,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.2768999934196472,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.1103999987244606,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sample-complexity","display_name":"sample complexity","score":0.9599999785423279},{"id":"https://openalex.org/keywords/sequential-hypothesis-testing","display_name":"sequential hypothesis testing","score":0.5590000152587891},{"id":"https://openalex.org/keywords/sequential-probability-ratio-test","display_name":"sequential probability ratio test","score":0.9079999923706055},{"id":"https://openalex.org/keywords/adaptive-sampling","display_name":"adaptive sampling","score":0.968999981880188},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.7049999833106995},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"normal distribution","score":0.4819999933242798},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.9589999914169312}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7076959609985352},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6736562252044678},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6190465092658997},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6131978631019592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5985915660858154},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5488170385360718},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.5468770861625671},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5415999293327332},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5175001621246338},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4303528666496277},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.41536080837249756},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4104795455932617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34016576409339905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33230194449424744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32003384828567505},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.15013357996940613},{"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2013.2258071","doi":"https://doi.org/10.1109/tit.2013.2258071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2258071","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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"},{"id":"pmh:oai:arXiv.org:1209.1380","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.1380","pdf_url":"https://arxiv.org/pdf/1209.1380","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.296.8206","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.296.8206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://nowak.ece.wisc.edu/searchpops.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.303","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1209.1380.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1209.1380","doi":"https://doi.org/10.48550/arxiv.1209.1380","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1209.1380","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1209.1380","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.1380","pdf_url":"https://arxiv.org/pdf/1209.1380","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G201076361","display_name":null,"funder_award_id":"FA9550-09-1-0140","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4784867543","display_name":"CIF: Small: Adaptive Information: Sequential Sensing and Active Learning Theory,  Methods and Applications","funder_award_id":"1218189","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1978694936.pdf","grobid_xml":"https://content.openalex.org/works/W1978694936.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1645620773","https://openalex.org/W1849231985","https://openalex.org/W1881419322","https://openalex.org/W1965327366","https://openalex.org/W1968198881","https://openalex.org/W1975906700","https://openalex.org/W1977369723","https://openalex.org/W2008786239","https://openalex.org/W2012037220","https://openalex.org/W2034027609","https://openalex.org/W2054778325","https://openalex.org/W2111182763","https://openalex.org/W2117171724","https://openalex.org/W2132876566","https://openalex.org/W2138590899","https://openalex.org/W2138820382","https://openalex.org/W2149316707","https://openalex.org/W2156540265","https://openalex.org/W2166205892","https://openalex.org/W2167770337","https://openalex.org/W2272239877","https://openalex.org/W2478708596","https://openalex.org/W2903768406","https://openalex.org/W2962841042","https://openalex.org/W2963852296","https://openalex.org/W4230704549","https://openalex.org/W6641509411"],"related_works":["https://openalex.org/W279848982","https://openalex.org/W4241264812","https://openalex.org/W2265487557","https://openalex.org/W2892209356","https://openalex.org/W2892103786","https://openalex.org/W2594002408","https://openalex.org/W3059354130","https://openalex.org/W7161180702","https://openalex.org/W2519992849","https://openalex.org/W2036803464"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,28,53,106,139,152,180,189],"sample":[4,73],"complexity":[5],"of":[6,16,27,55,79,108,122,125,138,151,171,179,192],"searching":[7],"over":[8],"multiple":[9],"populations.":[10],"We":[11,64,99,115,142],"consider":[12,65,117],"a":[13,76,82,102,123,135,176,185],"large":[14],"number":[15,54,78,107],"populations,":[17],"each":[18,74,97],"corresponding":[19,38],"to":[20,34,39,51,58],"either":[21],"distribution":[22,40],"P0or":[23],"P1.":[24],"The":[25,47],"goal":[26],"search":[29],"problem":[30],"studied":[31],"here":[32],"is":[33,50,163,196],"find":[35,60],"one":[36,61],"population":[37,75,83],"P1with":[41],"as":[42,45],"few":[43],"samples":[44,56,109,150],"possible.":[46],"main":[48],"contribution":[49],"quantify":[52],"needed":[57],"correctly":[59],"such":[62],"population.":[63,98],"two":[66],"general":[67],"approaches:":[68],"nonadaptive":[69,194],"sampling":[70,89,94,113,190],"methods,":[71,90],"which":[72,91,165],"predetermined":[77],"times":[80],"until":[81],"following":[84],"P1is":[85],"found,":[86],"and":[87,130,156,173],"adaptive":[88,119,161],"employ":[92],"sequential":[93,126],"schemes":[95],"for":[96,146],"first":[100],"derive":[101],"lower":[103,140,186],"bound":[104,187],"on":[105,188],"required":[110],"by":[111],"any":[112,193],"scheme.":[114,182],"then":[116],"an":[118],"procedure":[120],"consisting":[121],"series":[124],"probability":[127],"ratio":[128],"tests,":[129],"show":[131],"it":[132],"comes":[133,174],"within":[134,175],"constant":[136,148,177],"factor":[137,178],"bound.":[141],"give":[143],"explicit":[144],"expressions":[145],"this":[147],"when":[149],"populations":[153],"follow":[154],"Gaussian":[155],"Bernoulli":[157],"distributions.":[158],"An":[159],"alternative":[160],"scheme":[162,195],"discussed":[164],"does":[166],"not":[167],"require":[168],"full":[169],"knowledge":[170],"P1,":[172],"optimal":[181],"For":[183],"comparison,":[184],"requirements":[191],"presented.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
