{"id":"https://openalex.org/W1446333884","doi":"https://doi.org/10.1007/s00778-015-0398-x","title":"The matrix mechanism: optimizing linear counting queries under differential privacy","display_name":"The matrix mechanism: optimizing linear counting queries under differential privacy","publication_year":2015,"publication_date":"2015-08-17","ids":{"openalex":"https://openalex.org/W1446333884","doi":"https://doi.org/10.1007/s00778-015-0398-x","mag":"1446333884"},"language":"en","primary_location":{"id":"doi:10.1007/s00778-015-0398-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00778-015-0398-x","pdf_url":null,"source":{"id":"https://openalex.org/S78926909","display_name":"The VLDB Journal","issn_l":"0949-877X","issn":["0949-877X","1066-8888"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The VLDB Journal","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/A5100323241","display_name":"Chao Li","orcid":"https://orcid.org/0000-0002-9578-4316"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chao Li","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA and Google Inc., Mountain View, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"]},{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA and Google Inc., Mountain View, USA#TAB#","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036518572","display_name":"Gerome Miklau","orcid":"https://orcid.org/0000-0003-1369-9239"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gerome Miklau","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","[College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA]"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"]},{"raw_affiliation_string":"[College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA]","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020275137","display_name":"Michael Hay","orcid":"https://orcid.org/0000-0001-9085-893X"},"institutions":[{"id":"https://openalex.org/I39660569","display_name":"Colgate University","ror":"https://ror.org/05d23ve83","country_code":"US","type":"education","lineage":["https://openalex.org/I39660569"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Hay","raw_affiliation_strings":["Department of Computer Science, Colgate University, Hamilton, NY, USA","Department of Computer Science, Colgate University, Hamilton, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Colgate University, Hamilton, NY, USA","institution_ids":["https://openalex.org/I39660569"]},{"raw_affiliation_string":"Department of Computer Science, Colgate University, Hamilton, USA#TAB#","institution_ids":["https://openalex.org/I39660569"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101979548","display_name":"Andrew McGregor","orcid":"https://orcid.org/0000-0002-2124-160X"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew McGregor","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","[College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA]"],"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA, USA","institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"]},{"raw_affiliation_string":"[College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, USA]","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003599004","display_name":"Vibhor Rastogi","orcid":null},"institutions":[{"id":"https://openalex.org/I113979032","display_name":"Twitter (United States)","ror":"https://ror.org/04wt43v05","country_code":"US","type":"company","lineage":["https://openalex.org/I113979032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vibhor Rastogi","raw_affiliation_strings":["Twitter Inc., San Francisco, CA, USA","Twitter, Inc,San Francisco,USA"],"affiliations":[{"raw_affiliation_string":"Twitter Inc., San Francisco, CA, USA","institution_ids":["https://openalex.org/I113979032"]},{"raw_affiliation_string":"Twitter, Inc,San Francisco,USA","institution_ids":["https://openalex.org/I113979032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100323241"],"corresponding_institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":11.6024,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.98391986,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"24","issue":"6","first_page":"757","last_page":"781"},"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":0.9975000023841858,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9962000250816345,"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/differential-privacy","display_name":"Differential privacy","score":0.9150347709655762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7439025044441223},{"id":"https://openalex.org/keywords/workload","display_name":"Workload","score":0.6911802887916565},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5570489168167114},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5074624419212341},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4855194091796875},{"id":"https://openalex.org/keywords/laplace-distribution","display_name":"Laplace distribution","score":0.470353364944458},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44711655378341675},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43977296352386475},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4360722601413727},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41816431283950806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37633949518203735},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34801238775253296},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.20752853155136108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20676684379577637},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18123021721839905}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.9150347709655762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7439025044441223},{"id":"https://openalex.org/C2778476105","wikidata":"https://www.wikidata.org/wiki/Q628539","display_name":"Workload","level":2,"score":0.6911802887916565},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5570489168167114},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5074624419212341},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4855194091796875},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.470353364944458},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44711655378341675},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43977296352386475},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4360722601413727},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41816431283950806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37633949518203735},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34801238775253296},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.20752853155136108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20676684379577637},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18123021721839905},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00778-015-0398-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00778-015-0398-x","pdf_url":null,"source":{"id":"https://openalex.org/S78926909","display_name":"The VLDB Journal","issn_l":"0949-877X","issn":["0949-877X","1066-8888"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The VLDB Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W144420922","https://openalex.org/W360528349","https://openalex.org/W1557833142","https://openalex.org/W1586209290","https://openalex.org/W1592775138","https://openalex.org/W1873763122","https://openalex.org/W1981932091","https://openalex.org/W1985310469","https://openalex.org/W2022097286","https://openalex.org/W2022542865","https://openalex.org/W2031253505","https://openalex.org/W2045072234","https://openalex.org/W2049599124","https://openalex.org/W2055576996","https://openalex.org/W2057576485","https://openalex.org/W2059954248","https://openalex.org/W2064868049","https://openalex.org/W2071511328","https://openalex.org/W2075665712","https://openalex.org/W2077217970","https://openalex.org/W2078212354","https://openalex.org/W2096870293","https://openalex.org/W2099259603","https://openalex.org/W2101771965","https://openalex.org/W2109426455","https://openalex.org/W2122290076","https://openalex.org/W2123733729","https://openalex.org/W2124612670","https://openalex.org/W2129428954","https://openalex.org/W2132768130","https://openalex.org/W2141902405","https://openalex.org/W2149545836","https://openalex.org/W2154086287","https://openalex.org/W2167372639","https://openalex.org/W2170204206","https://openalex.org/W2950343740","https://openalex.org/W4249605624","https://openalex.org/W6636473889"],"related_works":["https://openalex.org/W2989546622","https://openalex.org/W4385694606","https://openalex.org/W3091150767","https://openalex.org/W2254375831","https://openalex.org/W4297752560","https://openalex.org/W4312054394","https://openalex.org/W2995171315","https://openalex.org/W4385945597","https://openalex.org/W4281746901","https://openalex.org/W192568510"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}