{"id":"https://openalex.org/W3196453118","doi":"https://doi.org/10.1109/lcsys.2021.3132801","title":"A Numerical Verification Framework for Differential Privacy in Estimation","display_name":"A Numerical Verification Framework for Differential Privacy in Estimation","publication_year":2021,"publication_date":"2021-12-06","ids":{"openalex":"https://openalex.org/W3196453118","doi":"https://doi.org/10.1109/lcsys.2021.3132801","mag":"3196453118"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2021.3132801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3132801","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt8323t5n4/qt8323t5n4.pdf?t=qv5hqa","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101500088","display_name":"Yunhai Han","orcid":"https://orcid.org/0000-0003-3119-0129"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunhai Han","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, La Jolla, CA, USA","Laboratory for Intelligent Decision and Autonomous Robots, George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3119-0129","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Laboratory for Intelligent Decision and Autonomous Robots, George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024022921","display_name":"Sonia Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0001-6756-1484"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sonia Martinez","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6756-1484","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5448,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72337867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":null,"first_page":"1712","last_page":"1717"},"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9944000244140625,"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":0.988099992275238,"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":0.8440499305725098},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6464667320251465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6410079002380371},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5257385969161987},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5185626149177551},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.46822023391723633},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4514707922935486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4329163432121277},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3943811357021332},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38512328267097473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3380483388900757},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10233017802238464}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.8440499305725098},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6464667320251465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6410079002380371},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5257385969161987},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5185626149177551},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.46822023391723633},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4514707922935486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4329163432121277},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3943811357021332},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38512328267097473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3380483388900757},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10233017802238464},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2021.3132801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3132801","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt8323t5n4","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/8323t5n4","pdf_url":"https://escholarship.org/content/qt8323t5n4/qt8323t5n4.pdf?t=qv5hqa","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"etd"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt8323t5n4","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/8323t5n4","pdf_url":"https://escholarship.org/content/qt8323t5n4/qt8323t5n4.pdf?t=qv5hqa","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"etd"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G4336914449","display_name":null,"funder_award_id":"ONR N00014-19-1-2471","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3196453118.pdf","grobid_xml":"https://content.openalex.org/works/W3196453118.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1616788770","https://openalex.org/W1873763122","https://openalex.org/W1907550802","https://openalex.org/W2028196196","https://openalex.org/W2073377950","https://openalex.org/W2135247979","https://openalex.org/W2294881034","https://openalex.org/W2489455717","https://openalex.org/W2527559122","https://openalex.org/W2570759866","https://openalex.org/W2886153332","https://openalex.org/W2952983945","https://openalex.org/W2963506795","https://openalex.org/W3033489682","https://openalex.org/W3100637409","https://openalex.org/W3107806997","https://openalex.org/W3196453118","https://openalex.org/W6636270335","https://openalex.org/W6639688054","https://openalex.org/W6786742474","https://openalex.org/W6800627109"],"related_works":["https://openalex.org/W3038283795","https://openalex.org/W2604501336","https://openalex.org/W2734500670","https://openalex.org/W2558166297","https://openalex.org/W2315671126","https://openalex.org/W798507144","https://openalex.org/W2964481303","https://openalex.org/W1751413323","https://openalex.org/W2571704763","https://openalex.org/W3206394311"],"abstract_inverted_index":{"This":[0,50,132,150],"letter":[1],"proposes":[2],"an":[3,68],"algorithmic":[4],"method":[5],"to":[6,21,147,155],"verify":[7],"differential":[8,37,81,127,138],"privacy":[9,17,38,82,128,139],"for":[10,54,67,84,105],"estimation":[11,55],"mechanisms":[12,56,108],"with":[13,140,181],"performance":[14,180],"guarantees.":[15],"Differential":[16],"makes":[18],"it":[19],"hard":[20],"distinguish":[22],"outputs":[23],"of":[24,71,78,90,95,121,137,160],"a":[25,85,111,119,135],"mechanism":[26],"produced":[27],"by":[28],"adjacent":[29],"inputs.":[30],"While":[31],"obtaining":[32],"theoretical":[33],"conditions":[34,44],"that":[35,57],"guarantee":[36],"may":[39],"be":[40,48],"possible,":[41],"evaluating":[42],"these":[43],"in":[45,60,184],"practice":[46],"can":[47],"hard.":[49],"is":[51,152],"especially":[52],"true":[53],"take":[58],"values":[59],"continuous":[61,106],"spaces,":[62],"as":[63,116,118],"this":[64,122,130],"requires":[65],"checking":[66],"infinite":[69],"set":[70],"inequalities.":[72],"Instead,":[73],"our":[74,101],"verification":[75],"approach":[76,151],"consists":[77],"testing":[79],"the":[80,93,157,161],"condition":[83],"suitably":[86],"chosen":[87],"finite":[88],"collection":[89],"events":[91],"at":[92],"expense":[94],"some":[96],"information":[97],"loss.":[98],"More":[99],"precisely,":[100],"data-driven,":[102],"test":[103],"framework":[104],"range":[107],"first":[109],"finds":[110],"highly-likely,":[112],"compact":[113],"event":[114],"set,":[115],"well":[117],"partition":[120],"event,":[123],"and":[124],"then":[125,153],"evaluates":[126],"wrt":[129],"partition.":[131],"results":[133],"into":[134],"type":[136],"high":[141],"confidence,":[142],"which":[143],"we":[144],"are":[145],"able":[146],"quantify":[148],"precisely.":[149],"used":[154],"evaluate":[156],"differential-privacy":[158],"properties":[159],"recently":[162],"proposed":[163],"<inline-formula":[164],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[165],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[166],"<tex-math":[167],"notation=\"LaTeX\">$W_{2}$":[168],"</tex-math></inline-formula>":[169],"Moving":[170],"Horizon":[171],"Estimator.":[172],"We":[173],"confirm":[174],"its":[175,179],"properties,":[176],"while":[177],"comparing":[178],"alternative":[182],"approaches":[183],"simulation.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}