{"id":"https://openalex.org/W4386075079","doi":"https://doi.org/10.1109/isit54713.2023.10206450","title":"Testing for the Bradley-Terry-Luce Model","display_name":"Testing for the Bradley-Terry-Luce Model","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386075079","doi":"https://doi.org/10.1109/isit54713.2023.10206450"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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/A5073197040","display_name":"Anuran Makur","orcid":"https://orcid.org/0000-0002-2978-8116"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anuran Makur","raw_affiliation_strings":["Purdue University,Department of Computer Science,West Lafayette,IN,47907"],"affiliations":[{"raw_affiliation_string":"Purdue University,Department of Computer Science,West Lafayette,IN,47907","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058307210","display_name":"Japneet Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Japneet Singh","raw_affiliation_strings":["Purdue University,School of Electrical and Computer Engineering,West Lafayette,IN,47907"],"affiliations":[{"raw_affiliation_string":"Purdue University,School of Electrical and Computer Engineering,West Lafayette,IN,47907","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073197040"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":1.0189,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86772655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1390","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9939000010490417,"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7509813904762268},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6580315232276917},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6237460374832153},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5954992175102234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5099016427993774},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.48243197798728943},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47237351536750793},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4510299265384674},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.44494110345840454},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4399193525314331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4219658374786377},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.4215560257434845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3915936052799225},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3217121958732605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2662227749824524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24507585167884827},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.22517827153205872}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7509813904762268},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6580315232276917},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6237460374832153},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5954992175102234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5099016427993774},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.48243197798728943},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47237351536750793},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4510299265384674},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.44494110345840454},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4399193525314331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4219658374786377},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4215560257434845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3915936052799225},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3217121958732605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2662227749824524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24507585167884827},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.22517827153205872},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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":55,"referenced_works":["https://openalex.org/W43928053","https://openalex.org/W602980269","https://openalex.org/W1502103205","https://openalex.org/W1510924833","https://openalex.org/W1517040319","https://openalex.org/W1550812296","https://openalex.org/W1569736542","https://openalex.org/W1600293573","https://openalex.org/W1659054115","https://openalex.org/W1975800710","https://openalex.org/W1996023858","https://openalex.org/W2014089538","https://openalex.org/W2033442452","https://openalex.org/W2049540116","https://openalex.org/W2057581519","https://openalex.org/W2076983043","https://openalex.org/W2090632213","https://openalex.org/W2098649057","https://openalex.org/W2100119435","https://openalex.org/W2103322363","https://openalex.org/W2134445663","https://openalex.org/W2140560120","https://openalex.org/W2160637580","https://openalex.org/W2162954122","https://openalex.org/W2221311665","https://openalex.org/W2609907341","https://openalex.org/W2739848020","https://openalex.org/W2763110165","https://openalex.org/W2950928568","https://openalex.org/W2951836260","https://openalex.org/W2982366565","https://openalex.org/W3015812362","https://openalex.org/W3034279197","https://openalex.org/W3036468330","https://openalex.org/W3037643391","https://openalex.org/W3099973750","https://openalex.org/W3100783214","https://openalex.org/W3101788906","https://openalex.org/W4287757644","https://openalex.org/W4301621763","https://openalex.org/W6601741120","https://openalex.org/W6633117799","https://openalex.org/W6636837734","https://openalex.org/W6674853019","https://openalex.org/W6680816543","https://openalex.org/W6681840828","https://openalex.org/W6688325169","https://openalex.org/W6688998120","https://openalex.org/W6737158355","https://openalex.org/W6764496225","https://openalex.org/W6774657447","https://openalex.org/W6779434381","https://openalex.org/W6779474006","https://openalex.org/W6779978666","https://openalex.org/W6785814095"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2016058626","https://openalex.org/W2949152769","https://openalex.org/W2011472225","https://openalex.org/W2767338541","https://openalex.org/W3000057026","https://openalex.org/W3048565508","https://openalex.org/W3163984363"],"abstract_inverted_index":{"The":[0],"Bradley-Terry-Luce":[1],"(BTL)":[2],"model":[3,40,42,64,141,147],"is":[4,144],"one":[5],"of":[6,16,86,107,110,119,136],"the":[7,29,62,67,83,87,98,104,108,111,117,129,134,139],"most":[8],"widely":[9],"used":[10],"models":[11],"for":[12],"ranking":[13],"a":[14,38,53,74,93,145],"set":[15],"items":[17,120],"given":[18,44],"data":[19],"about":[20],"pairwise":[21,45],"comparisons":[22],"among":[23],"them.":[24],"While":[25],"several":[26],"studies":[27],"in":[28],"literature":[30],"have":[31],"attempted":[32],"to":[33,51,59,116,122],"empirically":[34],"test":[35,58],"how":[36],"accurately":[37,65],"BTL":[39,63,140],"can":[41],"some":[43],"comparison":[46],"data,":[47],"this":[48],"work":[49],"aims":[50],"develop":[52],"formal,":[54],"computationally":[55],"efficient":[56],"hypothesis":[57,76],"determine":[60],"whether":[61],"represents":[66],"data.":[68],"Specifically,":[69],"we":[70,126],"first":[71,130],"propose":[72],"such":[73],"formal":[75],"test,":[77,89],"establish":[78],"an":[79],"upper":[80],"bound":[81,96],"on":[82,97],"critical":[84,99,112],"radius":[85,113],"proposed":[88],"and":[90],"then":[91],"provide":[92],"complementary":[94],"lower":[95],"radius.":[100],"Our":[101],"bounds":[102],"prove":[103],"minimax":[105],"optimality":[106],"scaling":[109],"with":[114],"respect":[115],"number":[118],"(up":[121],"constant":[123],"factors).":[124],"Finally,":[125],"also":[127],"take":[128],"step":[131],"towards":[132],"characterizing":[133],"stability":[135],"rankings":[137],"under":[138],"when":[142],"there":[143],"small":[146],"mismatch.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-28T02:08:47.144824","created_date":"2025-10-10T00:00:00"}