{"id":"https://openalex.org/W1880309113","doi":"https://doi.org/10.1109/tit.2017.2685505","title":"The Composition Theorem for Differential Privacy","display_name":"The Composition Theorem for Differential Privacy","publication_year":2017,"publication_date":"2017-03-28","ids":{"openalex":"https://openalex.org/W1880309113","doi":"https://doi.org/10.1109/tit.2017.2685505","mag":"1880309113"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2685505","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2685505","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1311.0776","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064699160","display_name":"Peter Kairouz","orcid":"https://orcid.org/0000-0001-6897-5937"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Kairouz","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA","Department of Electrical Engineering, Stanford University Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028243041","display_name":"Sewoong Oh","orcid":"https://orcid.org/0000-0002-8975-8306"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sewoong Oh","raw_affiliation_strings":["Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana\u2013Champaign, Champaign, IL, USA","Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana\u2013Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053980484","display_name":"Pramod Viswanath","orcid":"https://orcid.org/0000-0003-3171-8667"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod Viswanath","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana\u2013Champaign, Champaign, IL, USA","Department of Electrical and Computer Engineering, University of Illinois at Urbana\u2014Champaign, Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana\u2013Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana\u2014Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064699160"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.97933529,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.9152384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"6","first_page":"4037","last_page":"4049"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":1.0,"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/T10237","display_name":"Cryptography and Data Security","score":0.9987999796867371,"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/T11716","display_name":"Random Matrices and Applications","score":0.9821000099182129,"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/differential-privacy","display_name":"Differential privacy","score":0.9536125659942627},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6810047626495361},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6715799570083618},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5916640162467957},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5277888178825378},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5226930379867554},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.5194796323776245},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5083455443382263},{"id":"https://openalex.org/keywords/private-information-retrieval","display_name":"Private information retrieval","score":0.49718907475471497},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48830080032348633},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4709247946739197},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4237835705280304},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.41896504163742065},{"id":"https://openalex.org/keywords/internet-privacy","display_name":"Internet privacy","score":0.34329789876937866},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3196328282356262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2895076274871826},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.20897457003593445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18863815069198608}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.9536125659942627},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6810047626495361},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6715799570083618},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5916640162467957},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5277888178825378},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5226930379867554},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5194796323776245},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5083455443382263},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.49718907475471497},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48830080032348633},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4709247946739197},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4237835705280304},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.41896504163742065},{"id":"https://openalex.org/C108827166","wikidata":"https://www.wikidata.org/wiki/Q175975","display_name":"Internet privacy","level":1,"score":0.34329789876937866},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3196328282356262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2895076274871826},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.20897457003593445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18863815069198608},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2017.2685505","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2685505","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1311.0776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.0776","pdf_url":"https://arxiv.org/pdf/1311.0776","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":"mag:1880309113","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1311.0776","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1311.0776","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1311.0776","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"},{"id":"mag:2621140322","is_oa":false,"landing_page_url":"http://proceedings.mlr.press/v37/kairouz15.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419644","display_name":"International Conference on Machine Learning","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"International Conference on Machine Learning","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1311.0776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.0776","pdf_url":"https://arxiv.org/pdf/1311.0776","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W44899178","https://openalex.org/W1557833142","https://openalex.org/W1580959136","https://openalex.org/W1586209290","https://openalex.org/W1873763122","https://openalex.org/W1966456661","https://openalex.org/W1985310469","https://openalex.org/W2010523825","https://openalex.org/W2013823004","https://openalex.org/W2028584480","https://openalex.org/W2042469398","https://openalex.org/W2043371182","https://openalex.org/W2043969662","https://openalex.org/W2050495532","https://openalex.org/W2053801139","https://openalex.org/W2056129277","https://openalex.org/W2074006684","https://openalex.org/W2084705636","https://openalex.org/W2090593019","https://openalex.org/W2110868467","https://openalex.org/W2114404076","https://openalex.org/W2115242663","https://openalex.org/W2123820077","https://openalex.org/W2138865266","https://openalex.org/W2141902405","https://openalex.org/W2149320643","https://openalex.org/W2165394790","https://openalex.org/W2167372639","https://openalex.org/W2171750587","https://openalex.org/W2171801319","https://openalex.org/W2950207620","https://openalex.org/W2950884216","https://openalex.org/W4205228770","https://openalex.org/W4388323202","https://openalex.org/W6601828005","https://openalex.org/W6633508582","https://openalex.org/W6639056083"],"related_works":["https://openalex.org/W2621140322","https://openalex.org/W1873763122","https://openalex.org/W3168473612","https://openalex.org/W2551592225","https://openalex.org/W3118656864","https://openalex.org/W2953314980","https://openalex.org/W2582825155","https://openalex.org/W2963502357","https://openalex.org/W3029173733","https://openalex.org/W3108488342","https://openalex.org/W3195132180","https://openalex.org/W3159855141","https://openalex.org/W2160113380","https://openalex.org/W1649611255","https://openalex.org/W2295566317","https://openalex.org/W2896666566","https://openalex.org/W2397696965","https://openalex.org/W2269133676","https://openalex.org/W2914062688","https://openalex.org/W2074503439"],"abstract_inverted_index":{"Sequential":[0],"querying":[1],"of":[2,19,23,30,33,62,75,79,88],"differentially":[3,111],"private":[4,112],"mechanisms":[5,64],"degrades":[6],"the":[7,16,21,31,36,54,73,86,97,108],"overall":[8,24,55],"privacy":[9,25,37,56,81],"level.":[10],"In":[11],"this":[12,67],"paper,":[13],"we":[14,48],"answer":[15],"fundamental":[17],"question":[18],"characterizing":[20],"level":[22,57],"degradation":[26],"as":[27],"a":[28,60],"function":[29],"number":[32],"queries":[34],"and":[35,58,85,99],"levels":[38],"maintained":[39],"by":[40],"each":[41],"privatization":[42,63],"mechanism.":[43],"Our":[44,93],"solution":[45],"is":[46,72],"complete:":[47],"prove":[49],"an":[50,76],"upper":[51],"bound":[52],"on":[53],"construct":[59],"sequence":[61],"that":[65],"achieves":[66],"bound.":[68],"The":[69],"key":[70],"innovation":[71],"introduction":[74],"operational":[77],"interpretation":[78],"differential":[80],"(involving":[82],"hypothesis":[83],"testing)":[84],"use":[87],"new":[89],"data":[90],"processing":[91],"inequalities.":[92],"result":[94],"improves":[95],"over":[96],"state-of-the-art,":[98],"has":[100],"immediate":[101],"applications":[102],"in":[103,107],"several":[104],"problems":[105],"studied":[106],"literature":[109],"including":[110],"multi-party":[113],"computation.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}