{"id":"https://openalex.org/W4386075136","doi":"https://doi.org/10.1109/isit54713.2023.10206925","title":"Limit Distribution Theory for KL divergence and Applications to Auditing Differential Privacy","display_name":"Limit Distribution Theory for KL divergence and Applications to Auditing Differential Privacy","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386075136","doi":"https://doi.org/10.1109/isit54713.2023.10206925"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206925","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206925","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/A5086698877","display_name":"Sreejith Sreekumar","orcid":"https://orcid.org/0000-0003-3615-8961"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sreejith Sreekumar","raw_affiliation_strings":["Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071112095","display_name":"Ziv Goldfeld","orcid":"https://orcid.org/0000-0003-3406-3950"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ziv Goldfeld","raw_affiliation_strings":["Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101743077","display_name":"Kengo Kato","orcid":"https://orcid.org/0009-0002-1311-3373"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kengo Kato","raw_affiliation_strings":["Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086698877"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":1.04,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78375719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2607","last_page":"2612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9887999892234802,"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"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7362872958183289},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6487071514129639},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.6012359857559204},{"id":"https://openalex.org/keywords/differential-privacy","display_name":"Differential privacy","score":0.5129758715629578},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49304744601249695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4839380383491516},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.4584372639656067},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4303743541240692},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42626258730888367},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4183283746242523},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36375194787979126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32011252641677856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1815759241580963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13221204280853271},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0853661298751831}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7362872958183289},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6487071514129639},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.6012359857559204},{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.5129758715629578},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49304744601249695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4839380383491516},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.4584372639656067},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4303743541240692},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42626258730888367},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4183283746242523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36375194787979126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32011252641677856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1815759241580963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13221204280853271},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0853661298751831},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206925","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206925","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W152055444","https://openalex.org/W385466589","https://openalex.org/W1873763122","https://openalex.org/W2001150023","https://openalex.org/W2009115165","https://openalex.org/W2010353172","https://openalex.org/W2026653933","https://openalex.org/W2099111195","https://openalex.org/W2101985079","https://openalex.org/W2122882636","https://openalex.org/W2149268774","https://openalex.org/W2160270152","https://openalex.org/W2166744489","https://openalex.org/W2166944917","https://openalex.org/W2188155116","https://openalex.org/W2328111639","https://openalex.org/W2419501139","https://openalex.org/W2593829254","https://openalex.org/W2803832867","https://openalex.org/W2806801315","https://openalex.org/W2886153332","https://openalex.org/W2937628888","https://openalex.org/W2950255726","https://openalex.org/W2962693807","https://openalex.org/W2963180359","https://openalex.org/W2963277514","https://openalex.org/W3008527562","https://openalex.org/W3035168593","https://openalex.org/W3080250795","https://openalex.org/W3102411776","https://openalex.org/W3110763182","https://openalex.org/W3127518054","https://openalex.org/W3158546536","https://openalex.org/W4205228770","https://openalex.org/W4205354563","https://openalex.org/W4255839052","https://openalex.org/W4286908367","https://openalex.org/W4287724288","https://openalex.org/W4293404332","https://openalex.org/W4294588833","https://openalex.org/W4320561742","https://openalex.org/W6639246211","https://openalex.org/W6684316217","https://openalex.org/W6686876975","https://openalex.org/W6717243256","https://openalex.org/W6717434760","https://openalex.org/W6752051073","https://openalex.org/W6760978036","https://openalex.org/W6779658066","https://openalex.org/W6779987556","https://openalex.org/W6794497476","https://openalex.org/W6801321508","https://openalex.org/W6816273797","https://openalex.org/W6850302051"],"related_works":["https://openalex.org/W3095904785","https://openalex.org/W2479647915","https://openalex.org/W2033178790","https://openalex.org/W2343708061","https://openalex.org/W2390438896","https://openalex.org/W2042585404","https://openalex.org/W4307626464","https://openalex.org/W3112284544","https://openalex.org/W1965073003","https://openalex.org/W4386075136"],"abstract_inverted_index":{"The":[0],"Kullback-Leibler":[1],"(KL)":[2],"divergence":[3],"is":[4,45,108],"a":[5,13,34],"discrepancy":[6],"measure":[7],"between":[8],"probability":[9],"distribution":[10,36,102],"that":[11],"plays":[12],"central":[14],"role":[15],"in":[16],"information":[17],"theory,":[18],"statistics":[19],"and":[20,69,81,93,110,115],"machine":[21],"learning.":[22],"While":[23],"there":[24],"are":[25,76],"numerous":[26],"methods":[27],"for":[28,63,85,112],"estimating":[29],"this":[30,49,53],"quantity":[31],"from":[32],"data,":[33],"limit":[35,83,101],"theory":[37],"which":[38],"quantifies":[39],"fluctuations":[40],"of":[41,66,99],"the":[42,60,64,71,91,94,100],"estimation":[43],"error":[44],"largely":[46],"obscure.":[47],"In":[48],"paper,":[50],"we":[51],"close":[52],"gap":[54],"by":[55],"identifying":[56],"sufficient":[57],"conditions":[58],"on":[59],"population":[61],"distributions":[62],"existence":[65],"distributional":[67],"limits":[68],"characterizing":[70],"limiting":[72],"variables.":[73],"These":[74],"results":[75],"used":[77],"to":[78,104],"derive":[79],"one-":[80],"two-sample":[82],"theorems":[84],"Gaussian-smoothed":[86],"KL":[87],"divergence,":[88],"both":[89],"under":[90],"null":[92],"alternative.":[95],"Finally,":[96],"an":[97],"application":[98],"result":[103],"auditing":[105],"differential":[106],"privacy":[107],"proposed":[109],"analyzed":[111],"significance":[113],"level":[114],"power":[116],"against":[117],"local":[118],"alternatives.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
