{"id":"https://openalex.org/W3032011063","doi":"https://doi.org/10.1080/01621459.2020.1773831","title":"Structure and Sensitivity in Differential Privacy: Comparing K -Norm Mechanisms","display_name":"Structure and Sensitivity in Differential Privacy: Comparing K -Norm Mechanisms","publication_year":2020,"publication_date":"2020-05-28","ids":{"openalex":"https://openalex.org/W3032011063","doi":"https://doi.org/10.1080/01621459.2020.1773831","mag":"3032011063"},"language":"en","primary_location":{"id":"doi:10.1080/01621459.2020.1773831","doi":"https://doi.org/10.1080/01621459.2020.1773831","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01621459.2020.1773831","pdf_url":null,"source":{"id":"https://openalex.org/S4394736638","display_name":"Journal of the American Statistical Association","issn_l":"0162-1459","issn":["0162-1459","1537-274X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the American Statistical Association","raw_type":"journal-article"},"volume":null,"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/A5017865324","display_name":"Jordan Awan","orcid":"https://orcid.org/0000-0001-9404-7499","observed_orcids":["https://orcid.org/0000-0001-9404-7499"]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jordan Awan","raw_affiliation_strings":["Department of Statistics, The Pennsylvania State University, University Park, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034200769","display_name":"Aleksandra Slavkovi\u0107","orcid":"https://orcid.org/0000-0003-0497-1771","observed_orcids":["https://orcid.org/0000-0003-0497-1771"]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aleksandra Slavkovi\u0107","raw_affiliation_strings":["Department of Statistics, The Pennsylvania State University, University Park, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017865324"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":1.1369,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.81488245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"116","issue":"534","first_page":"935","last_page":"954"},"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/T11614","display_name":"Cloud Data Security Solutions","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11045","display_name":"Privacy, Security, and Data Protection","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-privacy","display_name":"differential privacy","score":1.0},{"id":"https://openalex.org/keywords/stochastic-dominance","display_name":"stochastic dominance","score":0.8600000143051147},{"id":"https://openalex.org/keywords/conditional-volatility","display_name":"conditional variance","score":0.6970000267028809},{"id":"https://openalex.org/keywords/functional-mechanisms","display_name":"functional mechanisms","score":0.921999990940094},{"id":"https://openalex.org/keywords/privacy-utility-trade-off","display_name":"privacy-utility trade-off","score":0.6600000262260437},{"id":"https://openalex.org/keywords/housing-prices","display_name":"housing prices","score":0.4690000116825104}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.8311874866485596},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.571450412273407},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5551027059555054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5254941582679749},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.523574709892273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4703041911125183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4534892141819},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.44738367199897766},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4291394352912903},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3143783509731293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2988533675670624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18821308016777039},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01621459.2020.1773831","doi":"https://doi.org/10.1080/01621459.2020.1773831","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01621459.2020.1773831","pdf_url":null,"source":{"id":"https://openalex.org/S4394736638","display_name":"Journal of the American Statistical Association","issn_l":"0162-1459","issn":["0162-1459","1537-274X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the American Statistical Association","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Peace, justice, and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.46000000834465027}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":80,"referenced_works":["https://openalex.org/W44394327","https://openalex.org/W1484817741","https://openalex.org/W1491006636","https://openalex.org/W1521255013","https://openalex.org/W1569649260","https://openalex.org/W1601795611","https://openalex.org/W1735670010","https://openalex.org/W1873763122","https://openalex.org/W1965066852","https://openalex.org/W1973744648","https://openalex.org/W1974423219","https://openalex.org/W1975247808","https://openalex.org/W1981276685","https://openalex.org/W1982723861","https://openalex.org/W1985511977","https://openalex.org/W1994756555","https://openalex.org/W1995875735","https://openalex.org/W2001347093","https://openalex.org/W2016440615","https://openalex.org/W2027595342","https://openalex.org/W2031415694","https://openalex.org/W2043113204","https://openalex.org/W2051953026","https://openalex.org/W2053801139","https://openalex.org/W2067042813","https://openalex.org/W2073377950","https://openalex.org/W2074006684","https://openalex.org/W2090593019","https://openalex.org/W2095030632","https://openalex.org/W2111200183","https://openalex.org/W2113431598","https://openalex.org/W2119874464","https://openalex.org/W2138865266","https://openalex.org/W2141902405","https://openalex.org/W2144190046","https://openalex.org/W2149234475","https://openalex.org/W2160495867","https://openalex.org/W2162379889","https://openalex.org/W2182267394","https://openalex.org/W2188999827","https://openalex.org/W2191146066","https://openalex.org/W2210387432","https://openalex.org/W2242410193","https://openalex.org/W2248469562","https://openalex.org/W2252420204","https://openalex.org/W2326587871","https://openalex.org/W2340081617","https://openalex.org/W2478857688","https://openalex.org/W2487468973","https://openalex.org/W2515654213","https://openalex.org/W2520881573","https://openalex.org/W2564029303","https://openalex.org/W2567289819","https://openalex.org/W2567588361","https://openalex.org/W2575909900","https://openalex.org/W2597289420","https://openalex.org/W2604272474","https://openalex.org/W2606014625","https://openalex.org/W2737371694","https://openalex.org/W2739449972","https://openalex.org/W2752805120","https://openalex.org/W2767970698","https://openalex.org/W2898996243","https://openalex.org/W2902082507","https://openalex.org/W2903199350","https://openalex.org/W2913668833","https://openalex.org/W2919883478","https://openalex.org/W2927798722","https://openalex.org/W2962961705","https://openalex.org/W2963541051","https://openalex.org/W2979172579","https://openalex.org/W3099542802","https://openalex.org/W3105437875","https://openalex.org/W4232667913","https://openalex.org/W4285719527","https://openalex.org/W4298844065","https://openalex.org/W6676639149","https://openalex.org/W6685279932","https://openalex.org/W6762859311","https://openalex.org/W6787907487"],"related_works":["https://openalex.org/W3038283795","https://openalex.org/W4280529077","https://openalex.org/W2604501336","https://openalex.org/W2734500670","https://openalex.org/W2558166297","https://openalex.org/W2315671126","https://openalex.org/W798507144","https://openalex.org/W4287022798","https://openalex.org/W2884061808","https://openalex.org/W2901329027"],"abstract_inverted_index":{"Differential":[0],"privacy":[1,8],"(DP)":[2],"provides":[3],"a":[4,29,35,87,99,117,177,188],"framework":[5,88],"for":[6,93,165,193],"provable":[7],"protection":[9],"against":[10],"arbitrary":[11,81],"adversaries,":[12],"while":[13],"allowing":[14,164],"the":[15,25,43,49,53,62,69,78,95,106,109,113,121,130,137,141,149,194],"release":[16],"of":[17,27,37,45,51,65,71,80,90,102,108,127,140,168,197],"summary":[18],"statistics":[19,82],"and":[20,74,111,152,155,161,173],"synthetic":[21],"data.":[22],"We":[23,84],"address":[24],"problem":[26],"releasing":[28],"noisy":[30],"real-valued":[31],"statistic":[32],"vector":[33],"T,":[34,66],"function":[36],"sensitive":[38],"data":[39],"under":[40],"DP,":[41],"via":[42],"class":[44],"K-norm":[46,96,123,132],"mechanisms":[47,154],"with":[48],"goal":[50],"minimizing":[52],"noise":[54],"added":[55],"to":[56,77,119,159,176],"achieve":[57],"privacy.":[58],"First,":[59],"we":[60,147,181],"introduce":[61],"sensitivity":[63,72,75,142],"space":[64],"which":[67],"extends":[68],"concepts":[70],"polytope":[73],"hull":[76,139],"setting":[79],"T.":[83],"then":[85],"propose":[86],"consisting":[89],"three":[91],"methods":[92],"comparing":[94],"mechanisms:":[97],"(1)":[98],"multivariate":[100],"extension":[101],"stochastic":[103],"dominance,":[104],"(2)":[105],"entropy":[107],"mechanism,":[110],"(3)":[112],"conditional":[114],"variance":[115],"given":[116],"direction,":[118],"identify":[120],"optimal":[122,131],"mechanism.":[124],"In":[125],"all":[126],"these":[128,157],"criteria,":[129],"mechanism":[133],"is":[134],"generated":[135],"by":[136],"convex":[138],"space.":[143],"Using":[144],"our":[145,184],"methodology,":[146],"extend":[148],"objective":[150],"perturbation":[151],"functional":[153],"apply":[156],"tools":[158],"logistic":[160],"linear":[162],"regression,":[163],"private":[166],"releases":[167],"statistical":[169],"results.":[170],"Via":[171],"simulations":[172],"an":[174],"application":[175],"housing":[178],"price":[179],"dataset,":[180],"demonstrate":[182],"that":[183],"proposed":[185],"methodology":[186],"offers":[187],"substantial":[189],"improvement":[190],"in":[191],"utility":[192],"same":[195],"level":[196],"risk.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2020-06-05T00:00:00"}
