{"id":"https://openalex.org/W3047579933","doi":"https://doi.org/10.1137/20m1355847","title":"Differentially Private Accelerated Optimization Algorithms","display_name":"Differentially Private Accelerated Optimization Algorithms","publication_year":2022,"publication_date":"2022-05-09","ids":{"openalex":"https://openalex.org/W3047579933","doi":"https://doi.org/10.1137/20m1355847","mag":"3047579933"},"language":"en","primary_location":{"id":"doi:10.1137/20m1355847","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1355847","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.01989","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033667736","display_name":"Nurdan Kuru","orcid":"https://orcid.org/0000-0001-8184-7809"},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]},{"id":"https://openalex.org/I913958620","display_name":"Erasmus University Rotterdam","ror":"https://ror.org/057w15z03","country_code":"NL","type":"education","lineage":["https://openalex.org/I913958620"]}],"countries":["NL","TR"],"is_corresponding":true,"raw_author_name":"Nurdan Kuru","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Sabanc\u0131 University \u22c6 Econometric Institute, Erasmus University, Rotterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanc\u0131 University \u22c6 Econometric Institute, Erasmus University, Rotterdam","institution_ids":["https://openalex.org/I134235054","https://openalex.org/I913958620"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087647617","display_name":"\u015e. \u0130lker Birbil","orcid":"https://orcid.org/0000-0001-7472-7032"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u015e. \u0130lker Birbil","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034370705","display_name":"Mert G\u00fcrb\u00fczbalaban","orcid":"https://orcid.org/0000-0002-0575-2450"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Mert G\u00fcrb\u00fczbalaban","raw_affiliation_strings":["Department of Management Science and Information Systems, Rutgers University"],"raw_orcid":"https://orcid.org/0000-0002-0575-2450","affiliations":[{"raw_affiliation_string":"Department of Management Science and Information Systems, Rutgers University","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015003622","display_name":"Sinan Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0001-7980-8990"},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]},{"id":"https://openalex.org/I913958620","display_name":"Erasmus University Rotterdam","ror":"https://ror.org/057w15z03","country_code":"NL","type":"education","lineage":["https://openalex.org/I913958620"]}],"countries":["NL","TR"],"is_corresponding":false,"raw_author_name":"Sinan Yildirim","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Sabanc\u0131 University \u22c6 Econometric Institute, Erasmus University, Rotterdam"],"raw_orcid":"https://orcid.org/0000-0001-7980-8990","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanc\u0131 University \u22c6 Econometric Institute, Erasmus University, Rotterdam","institution_ids":["https://openalex.org/I134235054","https://openalex.org/I913958620"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033667736"],"corresponding_institution_ids":["https://openalex.org/I134235054","https://openalex.org/I913958620"],"apc_list":null,"apc_paid":null,"fwci":0.971,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.78691676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":"2","first_page":"795","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9994999766349792,"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":0.9969000220298767,"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":0.7748807668685913},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5929934978485107},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5796492695808411},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5399894714355469},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5279219150543213},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5195550918579102},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5179804563522339},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.46469637751579285},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.45537954568862915},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43037670850753784},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4108372926712036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37732061743736267},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21563449501991272},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.1728837490081787},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.09799480438232422},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.07762369513511658}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.7748807668685913},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5929934978485107},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5796492695808411},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5399894714355469},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5279219150543213},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5195550918579102},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5179804563522339},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.46469637751579285},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.45537954568862915},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43037670850753784},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4108372926712036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37732061743736267},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21563449501991272},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.1728837490081787},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09799480438232422},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07762369513511658},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1355847","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1355847","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/20e3069e-744e-469b-b186-6f70b965ffe2","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/differentially-private-accelerated-optimization-algorithms(20e3069e-744e-469b-b186-6f70b965ffe2).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kuru, N, Birbil, S I, Gurbuzbalaban, M & Yildirim, S 2022, 'Differentially Private Accelerated Optimization Algorithms', SIAM Journal on Optimization, vol. 32, no. 2, pp. 795-821. https://doi.org/10.1137/20M1355847","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2008.01989","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.01989","pdf_url":"https://arxiv.org/pdf/2008.01989","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":null,"raw_type":"text"},{"id":"pmh:oai:research.sabanciuniv.edu:42844","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/42844/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.01989","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.01989","pdf_url":"https://arxiv.org/pdf/2008.01989","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2408348303","display_name":null,"funder_award_id":"CCF-1814888","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3543937345","display_name":null,"funder_award_id":"2214A","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"},{"id":"https://openalex.org/G3855261351","display_name":null,"funder_award_id":"N00014-21-1-2244","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7146920611","display_name":null,"funder_award_id":"DMS-2053485","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1568288633","https://openalex.org/W1946256299","https://openalex.org/W1988720110","https://openalex.org/W1992926795","https://openalex.org/W2027595342","https://openalex.org/W2053637704","https://openalex.org/W2096633407","https://openalex.org/W2097460613","https://openalex.org/W2100556411","https://openalex.org/W2109426455","https://openalex.org/W2112380340","https://openalex.org/W2119874464","https://openalex.org/W2156909104","https://openalex.org/W2162379889","https://openalex.org/W2167372639","https://openalex.org/W2294904676","https://openalex.org/W2337540838","https://openalex.org/W2473418344","https://openalex.org/W2520472982","https://openalex.org/W2594311007","https://openalex.org/W2597289420","https://openalex.org/W2753277175","https://openalex.org/W2780752111","https://openalex.org/W2808402975","https://openalex.org/W2890321584","https://openalex.org/W2911978475","https://openalex.org/W2953186053","https://openalex.org/W2962844775","https://openalex.org/W2963007855","https://openalex.org/W2963811077","https://openalex.org/W2963924077","https://openalex.org/W2964102336","https://openalex.org/W2969261410","https://openalex.org/W2970628695","https://openalex.org/W2992794988","https://openalex.org/W2999905431","https://openalex.org/W3008463948","https://openalex.org/W3021297499","https://openalex.org/W3025638325","https://openalex.org/W3035493137","https://openalex.org/W3037743336","https://openalex.org/W3042135496","https://openalex.org/W3088745370","https://openalex.org/W3102360395","https://openalex.org/W3133645126","https://openalex.org/W3135447394","https://openalex.org/W4205228770"],"related_works":["https://openalex.org/W2963086517","https://openalex.org/W2564735875","https://openalex.org/W3123504125","https://openalex.org/W3147739796","https://openalex.org/W1983212821","https://openalex.org/W3127841625","https://openalex.org/W2811217697","https://openalex.org/W2364728921","https://openalex.org/W2348618647","https://openalex.org/W4385644471"],"abstract_inverted_index":{"We":[0,61],"present":[1],"two":[2],"classes":[3],"of":[4,47,70,80,103],"differentially":[5,126],"private":[6,127],"optimization":[7],"algorithms":[8,48,120],"derived":[9],"from":[10],"the":[11,33,37,68,77,81,91,95,101,104,118,124],"well-known":[12,125],"accelerated":[13,53,97],"first-order":[14],"methods.":[15],"The":[16,44,83],"first":[17],"algorithm":[18],"is":[19],"inspired":[20],"by":[21],"Polyak's":[22],"heavy":[23,92],"ball":[24,93],"method":[25,55,72,99],"and":[26,56,94],"employs":[27],"a":[28,63],"smoothing":[29],"approach":[30],"to":[31,75],"decrease":[32],"accumulated":[34],"noise":[35,64],"on":[36,51],"gradient":[38,54,98],"steps":[39],"required":[40],"for":[41,67,89],"differential":[42],"privacy.":[43],"second":[45],"class":[46],"are":[49,87],"based":[50],"Nesterov's":[52,71,96],"its":[57],"recent":[58],"multistage":[59],"variant.":[60],"propose":[62],"dividing":[65],"mechanism":[66],"iterations":[69],"in":[73],"order":[74],"improve":[76],"error":[78],"behavior":[79],"algorithm.":[82],"convergence":[84],"rate":[85],"analyses":[86],"provided":[88],"both":[90],"with":[100,112],"help":[102],"dynamical":[105],"system":[106],"analysis":[107],"techniques.":[108],"Finally,":[109],"we":[110],"conclude":[111],"our":[113],"numerical":[114],"experiments":[115],"showing":[116],"that":[117],"presented":[119],"have":[121],"advantages":[122],"over":[123],"algorithms.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}