{"id":"https://openalex.org/W4321277326","doi":"https://doi.org/10.48550/arxiv.2302.08507","title":"The Scope of Multicalibration: Characterizing Multicalibration via Property Elicitation","display_name":"The Scope of Multicalibration: Characterizing Multicalibration via Property Elicitation","publication_year":2023,"publication_date":"2023-02-16","ids":{"openalex":"https://openalex.org/W4321277326","doi":"https://doi.org/10.48550/arxiv.2302.08507"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2302.08507","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2302.08507","pdf_url":"https://arxiv.org/pdf/2302.08507","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2302.08507","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059340647","display_name":"Georgy Noarov","orcid":"https://orcid.org/0000-0001-5420-7080"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Noarov, Georgy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057693522","display_name":"Aaron Roth","orcid":"https://orcid.org/0000-0002-0586-0515"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roth, Aaron","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059340647"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9656000137329102,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11357","display_name":"Risk and Safety Analysis","score":0.9656000137329102,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9088000059127808,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6813090443611145},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5314618349075317},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4500539302825928},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.4101484417915344},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40724271535873413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3868134319782257},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3746262490749359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.364181786775589},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18795150518417358}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6813090443611145},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5314618349075317},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4500539302825928},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.4101484417915344},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40724271535873413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3868134319782257},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3746262490749359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.364181786775589},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18795150518417358},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2302.08507","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2302.08507","pdf_url":"https://arxiv.org/pdf/2302.08507","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.2302.08507","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2302.08507","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2302.08507","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2302.08507","pdf_url":"https://arxiv.org/pdf/2302.08507","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G1110370359","display_name":"FAI: Breaking the Tradeoff Barrier in Algorithmic Fairness","funder_award_id":"2147212","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2037396411","display_name":"Collaborative Research: EnCORE: Institute for Emerging CORE Methods in Data Science","funder_award_id":"2217062","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5138316447","display_name":null,"funder_award_id":"FAI-2147212","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6235085013","display_name":null,"funder_award_id":"FAI-214721","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6625619449","display_name":null,"funder_award_id":"CCF-22170","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7714439780","display_name":null,"funder_award_id":"CCF-2217062","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2502115930","https://openalex.org/W2482350142","https://openalex.org/W4246396837","https://openalex.org/W3176240006","https://openalex.org/W2044551864","https://openalex.org/W3126451824","https://openalex.org/W1572557500","https://openalex.org/W4390690393","https://openalex.org/W3124946120","https://openalex.org/W1561927205"],"abstract_inverted_index":{"We":[0],"make":[1],"a":[2,21,25,86,117,137],"connection":[3],"between":[4],"multicalibration":[5,105],"and":[6,9,32,79,96,98,144,163],"property":[7,29,118,132],"elicitation":[8],"show":[10,43,114],"that":[11,44,84,115,140],"(under":[12],"mild":[13],"technical":[14],"conditions)":[15],"it":[16],"is":[17,36,61,120,126,136],"possible":[18],"to":[19],"produce":[20],"multicalibrated":[22,94],"predictor":[23,60],"for":[24,45,68,76,166],"continuous":[26,47],"scalar":[27],"distributional":[28,59],"$\u0393$":[30,35],"if":[31,34,116],"only":[33],"elicitable.":[37],"On":[38,64],"the":[39,57,65,77,80],"negative":[40,111],"side,":[41,67],"we":[42,71,113,159],"non-elicitable":[46],"properties":[48],"there":[49,135],"exist":[50],"simple":[51,73],"data":[52],"distributions":[53],"on":[54,93,129,150],"which":[55],"even":[56],"true":[58],"not":[62,121],"calibrated.":[63],"positive":[66],"elicitable":[69,122,127,131],"$\u0393$,":[70],"give":[72],"canonical":[74,138],"algorithms":[75],"batch":[78],"online":[81,103],"adversarial":[82],"setting,":[83],"learn":[85],"$\u0393$-multicalibrated":[87],"predictor.":[88],"This":[89],"generalizes":[90,147],"past":[91,148],"work":[92,149],"means":[95],"quantiles,":[97],"in":[99],"fact":[100],"strengthens":[101],"existing":[102],"quantile":[104],"results.":[106],"To":[107],"further":[108],"counter-weigh":[109],"our":[110,157],"result,":[112],"$\u0393^1$":[119,143],"by":[123],"itself,":[124],"but":[125],"conditionally":[128],"another":[130],"$\u0393^0$,":[133],"then":[134],"algorithm":[139],"jointly":[141],"multicalibrates":[142],"$\u0393^0$;":[145],"this":[146],"mean-moment":[151],"multicalibration.":[152],"Finally,":[153],"as":[154],"applications":[155],"of":[156],"theory,":[158],"provide":[160],"novel":[161],"algorithmic":[162],"impossibility":[164],"results":[165],"fair":[167],"(multicalibrated)":[168],"risk":[169],"assessment.":[170]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}