{"id":"https://openalex.org/W2784206706","doi":"https://doi.org/10.1109/allerton.2017.8262850","title":"On composite binary hypothesis testing with training data","display_name":"On composite binary hypothesis testing with training data","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2784206706","doi":"https://doi.org/10.1109/allerton.2017.8262850","mag":"2784206706"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262850","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262850","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5101899497","display_name":"Michael G H Bell","orcid":"https://orcid.org/0000-0002-7208-4181"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael Bell","raw_affiliation_strings":["School of CSE, HUJI, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"School of CSE, HUJI, Jerusalem, Israel","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034001710","display_name":"Yuval Kochman","orcid":"https://orcid.org/0000-0002-6698-8352"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuval Kochman","raw_affiliation_strings":["School of CSE, HUJI, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"School of CSE, HUJI, Jerusalem, Israel","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101899497"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5851,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77086821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"60","issue":null,"first_page":"1026","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12131","display_name":"Wireless Signal Modulation Classification","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9865000247955322,"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/minimax","display_name":"Minimax","score":0.7620514631271362},{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.6553928852081299},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5879259705543518},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5381006002426147},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5276131629943848},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5253793001174927},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.5195627212524414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4728175401687622},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.4618223309516907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45529937744140625},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4237709939479828},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41315895318984985},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37129002809524536},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33144617080688477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2789343595504761},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21804887056350708},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12887278199195862}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7620514631271362},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.6553928852081299},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5879259705543518},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5381006002426147},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5276131629943848},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5253793001174927},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.5195627212524414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4728175401687622},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.4618223309516907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45529937744140625},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4237709939479828},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41315895318984985},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37129002809524536},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33144617080688477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2789343595504761},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21804887056350708},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12887278199195862},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262850","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262850","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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":9,"referenced_works":["https://openalex.org/W1460189015","https://openalex.org/W2045638068","https://openalex.org/W2064039105","https://openalex.org/W2099111195","https://openalex.org/W2103709955","https://openalex.org/W2106864314","https://openalex.org/W2112142266","https://openalex.org/W2127904409","https://openalex.org/W2579785257"],"related_works":["https://openalex.org/W4390723618","https://openalex.org/W4255081583","https://openalex.org/W257437400","https://openalex.org/W2161334253","https://openalex.org/W4252046870","https://openalex.org/W2126408028","https://openalex.org/W2040722700","https://openalex.org/W2026003927","https://openalex.org/W2768147893","https://openalex.org/W2212806282"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"an":[2],"outlier":[3],"detection":[4],"problem,":[5],"we":[6,74,141,152,159,166],"consider":[7],"the":[8,32,39,68,93,97,101,110,118,121,138,144,177,184],"problem":[9],"of":[10,26,53,96,104,107,120,147,156],"testing":[11,170],"between":[12],"a":[13,18,22,59,84,105,126,154],"known":[14,64],"i.i.d.":[15,29],"distribution":[16],"over":[17,31],"finite":[19],"alphabet,":[20],"and":[21,47,82,188],"composite":[23],"hypothesis":[24,45,169],"consisting":[25],"all":[27],"other":[28],"distributions":[30],"same":[33],"alphabet.":[34],"We":[35,87],"wish":[36],"to":[37,43,49,65,114,117,143,176,182],"quantify":[38],"loss":[40],"with":[41,81,187],"respect":[42],"simple":[44,102],"testing,":[46],"further":[48],"find":[50],"how":[51],"much":[52],"it":[54],"can":[55],"be":[56,115],"re-gained":[57],"using":[58],"training":[60,85,122,190],"sequence":[61,123,127],"that":[62,72,89,132,158,172],"is":[63,112,128],"come":[66],"from":[67],"unknown":[69],"distribution.":[70],"To":[71],"end,":[73],"present":[75],"new":[76],"optimality":[77],"criteria,":[78,92],"universal":[79],"minimax":[80],"without":[83,189],"sequence.":[86,191],"show":[88],"under":[90],"our":[91],"acceptance":[94],"region":[95],"optimal":[98],"tests":[99],"takes":[100],"form":[103],"\u201csphere":[106],"types\u201d,":[108],"where":[109,151],"center":[111],"shifted":[113],"\u201cantipodal\u201d":[116],"type":[119],"(if":[124],"such":[125],"present).":[129],"Further,":[130],"noting":[131],"universality":[133],"has":[134],"no":[135],"cost":[136],"in":[137,180],"exponential":[139],"sense,":[140],"turn":[142],"second-order":[145],"regime":[146,165],"fixed":[148],"error":[149],"probabilities,":[150],"define":[153],"figure":[155],"merit":[157],"call":[160],"resolution":[161,185],"tradeoff.":[162],"In":[163],"this":[164],"solve":[167],"Gaussian":[168],"problems,":[171],"are":[173],"asymptotically":[174],"equivalent":[175],"original":[178],"ones,":[179],"order":[181],"derive":[183],"tradeoffs":[186]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
