{"id":"https://openalex.org/W2111367393","doi":"https://doi.org/10.1145/2701427","title":"Sorting and Selection with Imprecise Comparisons","display_name":"Sorting and Selection with Imprecise Comparisons","publication_year":2015,"publication_date":"2015-11-17","ids":{"openalex":"https://openalex.org/W2111367393","doi":"https://doi.org/10.1145/2701427","mag":"2111367393"},"language":"en","primary_location":{"id":"doi:10.1145/2701427","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2701427","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5109091195","display_name":"Mikl\u00f3s Ajtai","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mikl\u00f3s Ajtai","raw_affiliation_strings":["IBM Research - Almaden, CA, USA","[IBM Research, Almaden, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research - Almaden, CA, USA","institution_ids":["https://openalex.org/I4210085935"]},{"raw_affiliation_string":"[IBM Research, Almaden, CA, USA]","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054675941","display_name":"Vitaly Feldman","orcid":"https://orcid.org/0000-0002-3904-759X"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vitaly Feldman","raw_affiliation_strings":["IBM Research - Almaden, CA, USA","[IBM Research, Almaden, CA, USA]"],"raw_orcid":"https://orcid.org/0000-0002-3904-759X","affiliations":[{"raw_affiliation_string":"IBM Research - Almaden, CA, USA","institution_ids":["https://openalex.org/I4210085935"]},{"raw_affiliation_string":"[IBM Research, Almaden, CA, USA]","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103270618","display_name":"Avinatan Hassidim","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Avinatan Hassidim","raw_affiliation_strings":["Bar Ilan University, Israel","Bar=Ilan University, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bar Ilan University, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Bar=Ilan University, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109135732","display_name":"Jelani Nelson","orcid":null},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jelani Nelson","raw_affiliation_strings":["Harvard University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harvard University, USA","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109091195"],"corresponding_institution_ids":["https://openalex.org/I1341412227","https://openalex.org/I4210085935"],"apc_list":null,"apc_paid":null,"fwci":2.8849,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.91058004,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"2","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9682999849319458,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9682999849319458,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9401999711990356,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6535497903823853},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5857793092727661},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5755723714828491},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5250879526138306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.52444988489151},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5074948668479919},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.49647170305252075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4631141722202301},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.39263585209846497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.392246812582016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36185306310653687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3383845090866089},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13109159469604492}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6535497903823853},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5857793092727661},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5755723714828491},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5250879526138306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.52444988489151},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5074948668479919},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.49647170305252075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4631141722202301},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39263585209846497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.392246812582016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36185306310653687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3383845090866089},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13109159469604492},{"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/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2701427","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2701427","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W80310092","https://openalex.org/W569232627","https://openalex.org/W586219108","https://openalex.org/W1592882366","https://openalex.org/W1964136783","https://openalex.org/W1988695498","https://openalex.org/W1995897489","https://openalex.org/W1996641400","https://openalex.org/W2014992380","https://openalex.org/W2015188932","https://openalex.org/W2033442452","https://openalex.org/W2037100948","https://openalex.org/W2038435918","https://openalex.org/W2038824882","https://openalex.org/W2044712489","https://openalex.org/W2045086034","https://openalex.org/W2048175848","https://openalex.org/W2058512113","https://openalex.org/W2058699483","https://openalex.org/W2060210427","https://openalex.org/W2062563944","https://openalex.org/W2084951252","https://openalex.org/W2085891284","https://openalex.org/W2089062581","https://openalex.org/W2090657494","https://openalex.org/W2105220030","https://openalex.org/W2111790732","https://openalex.org/W2144882054","https://openalex.org/W2594036066","https://openalex.org/W2945608433","https://openalex.org/W3145128584","https://openalex.org/W4206871748","https://openalex.org/W4210622426","https://openalex.org/W4300888217"],"related_works":["https://openalex.org/W2739612537","https://openalex.org/W2349174696","https://openalex.org/W2360241746","https://openalex.org/W4313041667","https://openalex.org/W3013085049","https://openalex.org/W2767599893","https://openalex.org/W2381572297","https://openalex.org/W2188500270","https://openalex.org/W1494981348","https://openalex.org/W3160516639"],"abstract_inverted_index":{"We":[0,186,221,244],"consider":[1],"a":[2,17,97,132,141],"simple":[3],"model":[4,66,92,191],"of":[5,28,60,75,88,99,126,140,161,166,176,194,241,262,267,283],"imprecise":[6,184,206],"comparisons:":[7],"there":[8],"exists":[9],"some":[10],"\u03b4":[11,108],"&gt;":[12],"0":[13],"such":[14],"that":[15,54,188,223,256],"when":[16,48],"subject":[18],"is":[19,63,67,93,168,210],"given":[20],"two":[21,50],"elements":[22,30,51,139,156],"to":[23,96,110,158,170],"compare,":[24],"if":[25],"the":[26,34,42,49,58,61,86,104,111,124,159,172,177,192,201,205,224,239,247,251,254,265],"values":[27,53,76],"those":[29],"(as":[31],"perceived":[32],"by":[33,37,69,79,204],"subject)":[35],"differ":[36],"at":[38],"least":[39],"\u03b4,":[40,57],"then":[41,154,245],"comparison":[43,62],"will":[44],"be":[45,229,258],"made":[46,259],"correctly;":[47],"have":[52],"are":[55],"within":[56],"outcome":[59],"unpredictable.":[64],"This":[65],"inspired":[68],"both":[70],"imprecision":[71],"in":[72,85,103,189],"human":[73,142,178],"judgment":[74],"and":[77,236,260,270,278],"also":[78,211],"bounded":[80],"but":[81],"potentially":[82,173],"adversarial":[83],"errors":[84,202],"outcomes":[87],"sporting":[89],"tournaments.":[90],"Our":[91,272],"closely":[94],"related":[95],"number":[98,160,165,261],"models":[100],"commonly":[101],"considered":[102],"psychophysics":[105],"literature":[106],"where":[107],"corresponds":[109],"Just":[112],"Noticeable":[113],"Difference":[114],"(JND)":[115],"unit":[116],"or":[117],"difference":[118],"threshold":[119],".":[120],"In":[121],"experimental":[122],"psychology,":[123],"method":[125,145,193],"paired":[127,195],"comparisons":[128,167,196,263],"was":[129],"proposed":[130],"as":[131,182],"means":[133],"for":[134,264,281],"ranking":[135],"preferences":[136],"among":[137],"n":[138,150,218,233],"subject.":[143],"The":[144,163],"requires":[146,215],"performing":[147],"all":[148,216],"(":[149,217],"2":[151,219],")":[152],"comparisons,":[153,235],"sorting":[155],"according":[157],"wins.":[162],"large":[164],"performed":[169],"counter":[171],"faulty":[174],"decision-making":[175],"subject,":[179],"who":[180],"acts":[181],"an":[183],"comparator.":[185],"show":[187,222],"our":[190,242],"has":[197],"optimal":[198,226],"accuracy,":[199],"minimizing":[200],"introduced":[203],"comparisons.":[207],"However,":[208],"it":[209,214],"wasteful":[212],"because":[213],").":[220],"same":[225],"guarantees":[227,252],"can":[228,257],"achieved":[230],"using":[231],"4":[232],"3/2":[234],"we":[237],"prove":[238],"optimality":[240],"method.":[243],"explore":[246],"general":[248],"tradeoff":[249],"between":[250],"on":[253],"error":[255],"problems":[266],"sorting,":[268],"max-finding,":[269],"selection.":[271],"results":[273],"provide":[274],"strong":[275],"lower":[276],"bounds":[277],"close-to-optimal":[279],"solutions":[280],"each":[282],"these":[284],"problems.":[285]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
