{"id":"https://openalex.org/W1981932091","doi":"https://doi.org/10.14778/2556549.2556576","title":"Understanding hierarchical methods for differentially private histograms","display_name":"Understanding hierarchical methods for differentially private histograms","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W1981932091","doi":"https://doi.org/10.14778/2556549.2556576","mag":"1981932091"},"language":"en","primary_location":{"id":"doi:10.14778/2556549.2556576","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2556549.2556576","pdf_url":null,"source":{"id":"https://openalex.org/S4210226185","display_name":"Proceedings of the VLDB Endowment","issn_l":"2150-8097","issn":["2150-8097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the VLDB Endowment","raw_type":"journal-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/A5085583069","display_name":"Wahbeh Qardaji","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wahbeh Qardaji","raw_affiliation_strings":["Purdue University, West Lafayette, IN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103232165","display_name":"Wei\u2010Ning Yang","orcid":"https://orcid.org/0000-0003-0301-4574"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weining Yang","raw_affiliation_strings":["Purdue University, West Lafayette, IN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101471208","display_name":"Ninghui Li","orcid":"https://orcid.org/0000-0001-8207-9717"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ninghui Li","raw_affiliation_strings":["Purdue University, West Lafayette, IN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":13.9793,"has_fulltext":false,"cited_by_count":176,"citation_normalized_percentile":{"value":0.98572708,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"6","issue":"14","first_page":"1954","last_page":"1965"},"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":0.9991000294685364,"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/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/histogram","display_name":"Histogram","score":0.7046533823013306},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6937307119369507},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6667680740356445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.614837646484375},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5468846559524536},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5272613763809204},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5244213342666626},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.48523640632629395},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4672788381576538},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29930177330970764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2723461389541626},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19410571455955505}],"concepts":[{"id":"https://openalex.org/C53533937","wikidata":"https://www.wikidata.org/wiki/Q185020","display_name":"Histogram","level":3,"score":0.7046533823013306},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6937307119369507},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6667680740356445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.614837646484375},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5468846559524536},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5272613763809204},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5244213342666626},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.48523640632629395},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4672788381576538},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29930177330970764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2723461389541626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19410571455955505},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14778/2556549.2556576","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2556549.2556576","pdf_url":null,"source":{"id":"https://openalex.org/S4210226185","display_name":"Proceedings of the VLDB Endowment","issn_l":"2150-8097","issn":["2150-8097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the VLDB Endowment","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.401.4000","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.401.4000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.vldb.org/pvldb/vol6/p1954-qardaji.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W44899178","https://openalex.org/W107887801","https://openalex.org/W1873763122","https://openalex.org/W1990503647","https://openalex.org/W2005107218","https://openalex.org/W2010523825","https://openalex.org/W2012992615","https://openalex.org/W2022542865","https://openalex.org/W2024021429","https://openalex.org/W2037859435","https://openalex.org/W2045072234","https://openalex.org/W2049599124","https://openalex.org/W2053398263","https://openalex.org/W2057576485","https://openalex.org/W2078212354","https://openalex.org/W2099259603","https://openalex.org/W2109135024","https://openalex.org/W2110868467","https://openalex.org/W2119219356","https://openalex.org/W2122290076","https://openalex.org/W2123733729","https://openalex.org/W2123779242","https://openalex.org/W2141902405","https://openalex.org/W2169570643","https://openalex.org/W2911978475","https://openalex.org/W6659870919","https://openalex.org/W6906762117"],"related_works":["https://openalex.org/W2365264209","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W2107628111","https://openalex.org/W1599954583","https://openalex.org/W1992685502","https://openalex.org/W4211007821","https://openalex.org/W2802395037","https://openalex.org/W4389565704","https://openalex.org/W1996802783"],"abstract_inverted_index":{"In":[0,31],"recent":[1],"years,":[2],"many":[3],"approaches":[4,14,43],"to":[5,22,78,116,148],"differentially":[6],"privately":[7],"publish":[8],"histograms":[9],"have":[10],"been":[11],"proposed.":[12],"Several":[13],"rely":[15],"on":[16],"constructing":[17],"tree":[18],"structures":[19],"in":[20],"order":[21],"decrease":[23],"the":[24,36,39,46,63,80,94,105,109,122,150],"error":[25,49],"when":[26,51,136],"answer":[27],"large":[28],"range":[29,53],"queries.":[30,54],"this":[32],"paper,":[33],"we":[34,112],"examine":[35],"factors":[37],"affecting":[38],"accuracy":[40],"of":[41,96,108,154],"hierarchical":[42,126],"by":[44],"studying":[45],"mean":[47],"squared":[48],"(MSE)":[50],"answering":[52],"We":[55,119],"start":[56],"with":[57,66,75,101],"one-dimensional":[58],"histograms,":[59],"and":[60,74,88,135],"analyze":[61],"how":[62],"MSE":[64],"changes":[65],"different":[67,76],"branching":[68,99],"factors,":[69],"after":[70],"employing":[71,125],"constrained":[72,102],"inference,":[73],"methods":[77,127],"allocate":[79],"privacy":[81],"budget":[82],"among":[83],"hierarchy":[84],"levels.":[85],"Our":[86],"analysis":[87,115],"experimental":[89],"results":[90],"show":[91,120],"that":[92,121],"combining":[93],"choice":[95],"a":[97,129,155],"good":[98],"factor":[100],"inference":[103],"outperform":[104],"current":[106],"state":[107],"art.":[110],"Finally,":[111],"extend":[113],"our":[114],"multi-dimensional":[117],"histograms.":[118],"benefits":[123],"from":[124],"beyond":[128],"single":[130],"dimension":[131],"are":[132,138],"significantly":[133],"diminished,":[134],"there":[137],"3":[139],"or":[140],"more":[141],"dimensions,":[142],"it":[143],"is":[144],"almost":[145],"always":[146],"better":[147],"use":[149],"Flat":[151],"method":[152],"instead":[153],"hierarchy.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":22},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2025-10-10T00:00:00"}