{"id":"https://openalex.org/W7171775385","doi":"https://doi.org/10.48550/arxiv.2607.26388","title":"Sensitivity and Differential Privacy in Metric Voting with Distortion below Three","display_name":"Sensitivity and Differential Privacy in Metric Voting with Distortion below Three","publication_year":2026,"publication_date":"2026-07-29","ids":{"openalex":"https://openalex.org/W7171775385","doi":"https://doi.org/10.48550/arxiv.2607.26388"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2607.26388","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.26388","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,"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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2607.26388","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072261943","display_name":"Shinsaku Sakaue","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sakaue, Shinsaku","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014072485","display_name":"Kaito Fujii","orcid":"https://orcid.org/0000-0002-4315-6369"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fujii, Kaito","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015539916","display_name":"Soh Kumabe","orcid":"https://orcid.org/0000-0002-1021-8922"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kumabe, Soh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5144021021","display_name":"Yuichi Yoshida","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoshida, Yuichi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9239000082015991,"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":0.9239000082015991,"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":0.008700000122189522,"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":0.005799999926239252,"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/distortion","display_name":"Distortion (music)","score":0.7281000018119812},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.7052000164985657},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.7034000158309937},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6516000032424927},{"id":"https://openalex.org/keywords/differential-privacy","display_name":"Differential privacy","score":0.5396999716758728},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.4986000061035156},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4984999895095825},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.49470001459121704},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42100000381469727}],"concepts":[{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.7281000018119812},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.7052000164985657},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7034000158309937},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6516000032424927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6187000274658203},{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.5396999716758728},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.4986000061035156},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.49470001459121704},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42100000381469727},{"id":"https://openalex.org/C70095417","wikidata":"https://www.wikidata.org/wiki/Q4774437","display_name":"Anti-plurality voting","level":5,"score":0.3718000054359436},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.36489999294281006},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.32919999957084656},{"id":"https://openalex.org/C137822555","wikidata":"https://www.wikidata.org/wiki/Q2587068","display_name":"Information sensitivity","level":2,"score":0.32330000400543213},{"id":"https://openalex.org/C153668964","wikidata":"https://www.wikidata.org/wiki/Q27636","display_name":"Majority rule","level":2,"score":0.32269999384880066},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3138999938964844},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.296999990940094},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.2955000102519989},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.2872999906539917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28459998965263367},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25929999351501465}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2607.26388","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.26388","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,"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2607.26388","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.26388","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,"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":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6690543293952942}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Voting":[0],"rules":[1,24,39,48],"aggregate":[2],"individual":[3],"preferences":[4],"into":[5],"collective":[6],"decisions,":[7],"but":[8],"the":[9,50,67,83,116,154,166,171,180,184,188,197],"rankings":[10],"they":[11],"receive":[12],"contain":[13],"only":[14,165],"ordinal":[15,22],"information.":[16],"The":[17],"metric":[18,36],"distortion":[19,43,92,142],"framework":[20],"studies":[21],"voting":[23],"in":[25,33],"settings":[26],"where":[27],"voters":[28],"and":[29,75,105,122,146,173,191],"candidates":[30,104],"are":[31],"embedded":[32],"an":[34,97,126],"unknown":[35],"space.":[37],"Deterministic":[38],"have":[40],"optimal":[41],"worst-case":[42,62,109],"$3$,":[44],"while":[45],"recent":[46,185],"randomized":[47,89],"break":[49],"$3$":[51,189],"barrier.":[52],"We":[53],"study":[54],"whether":[55],"such":[56],"improvements":[57],"can":[58],"coexist":[59],"with":[60,64,91,164],"low":[61],"sensitivity":[63,84,110,172],"respect":[65],"to":[66],"Wasserstein":[68],"distance":[69],"of":[70,112,157],"lotteries":[71],"under":[72,79],"one-voter":[73,80],"deletion":[74],"approximate":[76],"differential":[77],"privacy":[78,117],"replacement.":[81],"On":[82,115],"side,":[85,118],"we":[86,129],"give":[87],"a":[88,108,131,137,193],"rule":[90,133],"at":[93,143],"most":[94,144],"$3-\\varepsilon$":[95,145],"for":[96,102,119,196],"absolute":[98,127],"constant":[99],"$\\varepsilon>0$":[100],"and,":[101],"$m$":[103],"$n$":[106,124],"voters,":[107],"bound":[111],"$O((\\log":[113],"m+1)/n)$.":[114],"every":[120],"$\u03b4\\in(0,1)$":[121],"all":[123],"above":[125],"constant,":[128],"construct":[130],"variant":[132],"whose":[134],"mechanism":[135],"releasing":[136],"single":[138],"sampled":[139],"winner":[140],"has":[141],"is":[147],"$(O((\\log":[148],"m+\\log(1/\u03b4)+1)/n),\u03b4)$-differentially":[149],"private.":[150],"Both":[151],"constructions":[152],"use":[153],"same":[155],"family":[156],"Gibbs":[158],"distributions":[159],"over":[160,187],"constant-size":[161],"candidate":[162],"lists,":[163],"temperature":[167],"parameter":[168],"differing":[169],"between":[170],"differential-privacy":[174],"guarantees.":[175],"Our":[176],"analysis":[177],"builds":[178],"on":[179],"biased-metric":[181,198],"viewpoint":[182],"behind":[183],"improvement":[186],"barrier":[190],"proves":[192],"stability":[194],"property":[195],"ratio.":[199]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2026-07-31T00:00:00"}