{"id":"https://openalex.org/W6966969476","doi":"https://doi.org/10.48550/arxiv.2205.07647","title":"Pareto-Optimal Fairness-Utility Amortizations in Rankings with a DBN Exposure Model","display_name":"Pareto-Optimal Fairness-Utility Amortizations in Rankings with a DBN Exposure Model","publication_year":2022,"publication_date":"2022-05-16","ids":{"openalex":"https://openalex.org/W6966969476","doi":"https://doi.org/10.48550/arxiv.2205.07647"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2205.07647","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2205.07647","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2205.07647","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kletti, Till","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kletti, Till","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Renders, Jean-Michel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Renders, Jean-Michel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Loiseau, Patrick","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Loiseau, Patrick","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.8338000178337097,"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":0.8338000178337097,"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/T10883","display_name":"Ethics and Social Impacts of AI","score":0.07329999655485153,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11704","display_name":"Mobile Crowdsensing and Crowdsourcing","score":0.006899999920278788,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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":0.6298999786376953},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.544700026512146},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5281999707221985},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5178999900817871},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4530999958515167},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.40630000829696655},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.39169999957084656},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.37290000915527344}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6298999786376953},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.544700026512146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5430999994277954},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5281999707221985},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5178999900817871},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.40630000829696655},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.39169999957084656},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.37290000915527344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36160001158714294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3571000099182129},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.34130001068115234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3382999897003174},{"id":"https://openalex.org/C82142266","wikidata":"https://www.wikidata.org/wiki/Q3456604","display_name":"Dynamic Bayesian network","level":3,"score":0.323199987411499},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30000001192092896},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28700000047683716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28679999709129333},{"id":"https://openalex.org/C2776225642","wikidata":"https://www.wikidata.org/wiki/Q3150644","display_name":"Independence of irrelevant alternatives","level":3,"score":0.28029999136924744},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25290000438690186},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2205.07647","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2205.07647","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2205.07647","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2205.07647","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,97],"recent":[1],"years,":[2],"it":[3,177,279],"has":[4],"become":[5],"clear":[6],"that":[7,39,113,215],"rankings":[8],"delivered":[9],"in":[10,283],"many":[11,98],"areas":[12],"need":[13],"not":[14],"only":[15,92],"be":[16],"useful":[17],"to":[18,52,61,192,240,251,280],"the":[19,28,33,87,90,95,105,118,150,156,165,188,219,228,235,272],"users":[20],"but":[21],"also":[22],"respect":[23],"fairness":[24,256],"of":[25,35,167,182,190,222,246,255,261,285],"exposure":[26,80,91,123,202,225],"for":[27,55,155,176],"item":[29],"producers.":[30],"We":[31,138,162,266],"consider":[32],"problem":[34],"finding":[36],"ranking":[37,132],"policies":[38,133],"achieve":[40],"a":[41,57,66,76,144,168,178,205,243,252],"Pareto-optimal":[42,223,244],"tradeoff":[43],"between":[44,86],"these":[45],"two":[46],"aspects.":[47],"Several":[48],"methods":[49],"were":[50],"proposed":[51,153],"solve":[53],"it;":[54],"instance":[56],"popular":[58],"one":[59],"is":[60,102,187,249],"use":[62],"linear":[63],"programming":[64],"with":[65,227],"Birkhoff-von":[67],"Neumann":[68],"decomposition.":[69],"These":[70],"methods,":[71],"however,":[72],"are":[73],"based":[74,148],"on":[75,94,149,271],"classical":[77,259],"Position":[78],"Based":[79],"Model":[81],"(PBM),":[82],"which":[83],"assumes":[84],"independence":[85],"items":[88],"(hence":[89],"depends":[93],"rank).":[96],"applications,":[99],"this":[100,140],"assumption":[101],"unrealistic":[103],"and":[104,174,263,274,277,287],"community":[106],"increasingly":[107],"moves":[108],"towards":[109],"considering":[110],"other":[111],"models":[112],"include":[114],"dependences,":[115],"such":[116,126],"as":[117,204],"Dynamic":[119],"Bayesian":[120],"Network":[121],"(DBN)":[122],"model.":[124],"For":[125],"models,":[127],"computing":[128],"(exact)":[129],"optimal":[130],"fair":[131],"remains":[134],"an":[135,195],"open":[136],"question.":[137],"answer":[139],"question":[141],"by":[142],"leveraging":[143],"new":[145,169],"geometrical":[146,170],"method":[147,270],"so-called":[151],"expohedron":[152],"recently":[154],"PBM":[157],"(Kletti":[158],"et":[159],"al.,":[160],"WSDM'22).":[161],"lay":[163],"out":[164],"structure":[166],"object":[171],"(the":[172],"DBN-expohedron),":[173],"propose":[175],"Carath\u00e9odory":[179],"decomposition":[180],"algorithm":[181,196,238],"complexity":[183,230],"$O(n^3)$,":[184],"where":[185],"$n$":[186,210],"number":[189],"documents":[191],"rank.":[193],"Such":[194],"enables":[197],"expressing":[198],"any":[199],"feasible":[200],"expected":[201,224],"vector":[203],"distribution":[206,245],"over":[207],"at":[208],"most":[209],"rankings;":[211],"furthermore":[212],"we":[213,216],"show":[214],"can":[217],"compute":[218],"whole":[220],"set":[221],"vectors":[226],"same":[229],"$O(n^3)$.":[231],"Our":[232],"work":[233],"constitutes":[234],"first":[236],"exact":[237],"able":[239],"efficiently":[241],"find":[242],"rankings.":[247],"It":[248],"applicable":[250],"broad":[253],"range":[254],"notions,":[257],"including":[258],"notions":[260],"meritocratic":[262],"demographic":[264],"fairness.":[265],"empirically":[267],"evaluate":[268],"our":[269],"TREC2020":[273],"MSLR":[275],"datasets":[276],"compare":[278],"several":[281],"baselines":[282],"terms":[284],"Pareto-optimality":[286],"speed.":[288]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}