{"id":"https://openalex.org/W4313524884","doi":"https://doi.org/10.1109/lcsys.2022.3231223","title":"Guaranteed Privacy of Distributed Nonconvex Optimization via Mixed-Monotone Functional Perturbations","display_name":"Guaranteed Privacy of Distributed Nonconvex Optimization via Mixed-Monotone Functional Perturbations","publication_year":2022,"publication_date":"2022-12-21","ids":{"openalex":"https://openalex.org/W4313524884","doi":"https://doi.org/10.1109/lcsys.2022.3231223"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2022.3231223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3231223","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021873369","display_name":"Mohammad Khajenejad","orcid":"https://orcid.org/0000-0002-1684-8167"},"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":"Mohammad Khajenejad","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1684-8167","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"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, San Diego, 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, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.3936,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67925783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"1081","last_page":"1086"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991000294685364,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.656761646270752},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.644278883934021},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6368865370750427},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6253920793533325},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.548843502998352},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4833921492099762},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.47883203625679016},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4641626477241516},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4627995193004608},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4304957091808319},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32075709104537964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24604511260986328}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.656761646270752},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.644278883934021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6368865370750427},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6253920793533325},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.548843502998352},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4833921492099762},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.47883203625679016},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4641626477241516},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4627995193004608},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4304957091808319},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32075709104537964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24604511260986328},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2022.3231223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3231223","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G3658069599","display_name":null,"funder_award_id":"FA-9550-19-1-0235","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8457413299","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"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1559266478","https://openalex.org/W1583497301","https://openalex.org/W1873763122","https://openalex.org/W1920382817","https://openalex.org/W1987692687","https://openalex.org/W2092845654","https://openalex.org/W2162379889","https://openalex.org/W2527559122","https://openalex.org/W2570759866","https://openalex.org/W2581954717","https://openalex.org/W2795577721","https://openalex.org/W2892002891","https://openalex.org/W2950943617","https://openalex.org/W2952161445","https://openalex.org/W2962678892","https://openalex.org/W2964026281","https://openalex.org/W2964137440","https://openalex.org/W2993990461","https://openalex.org/W3022767088","https://openalex.org/W3098954913","https://openalex.org/W3129962851","https://openalex.org/W3134022240","https://openalex.org/W3160122039","https://openalex.org/W3196453118","https://openalex.org/W3197802113","https://openalex.org/W4251616545","https://openalex.org/W4287268997","https://openalex.org/W4287819372","https://openalex.org/W4289829081","https://openalex.org/W4298255709","https://openalex.org/W6677855611","https://openalex.org/W6683755438"],"related_works":["https://openalex.org/W3149055374","https://openalex.org/W2053131036","https://openalex.org/W2216231335","https://openalex.org/W3195104199","https://openalex.org/W4386254288","https://openalex.org/W4292572523","https://openalex.org/W2809352861","https://openalex.org/W2056349093","https://openalex.org/W2952007803","https://openalex.org/W2919687292"],"abstract_inverted_index":{"In":[0,16],"this":[1],"letter,":[2],"we":[3,22],"introduce":[4],"a":[5,24,44,69,76,80,104],"new":[6],"notion":[7],"of":[8,36,68,87],"guaranteed":[9],"privacy":[10],"for":[11],"distributed":[12,108],"nonconvex":[13],"optimization":[14,46,90,109],"algorithms.":[15],"particular,":[17],"leveraging":[18],"mixed-monotone":[19],"inclusion":[20],"functions,":[21],"propose":[23],"privacy-preserving":[25],"mechanism":[26,72],"which":[27],"is":[28,62,85],"based":[29],"on":[30],"deterministic,":[31],"but":[32],"unknown":[33],"affine":[34],"perturbations":[35],"the":[37,50,66,88,96,112],"local":[38],"objective":[39],"functions.":[40],"The":[41],"design":[42],"requires":[43],"robust":[45],"method":[47],"to":[48,64],"characterize":[49],"best":[51],"accuracy":[52,78],"that":[53,73,84,100],"can":[54,74],"be":[55],"achieved":[56],"by":[57],"an":[58],"optimal":[59],"perturbation.":[60],"This":[61],"used":[63],"guide":[65],"refinement":[67],"guaranteed-private":[70],"perturbation":[71],"achieve":[75],"quantifiable":[77],"via":[79],"theoretical":[81],"upper":[82],"bound":[83],"independent":[86],"chosen":[89],"algorithm.":[91],"Finally,":[92],"simulation":[93],"results":[94],"illustrate":[95],"accuracy-privacy":[97],"trade-off":[98],"and":[99],"our":[101],"approach":[102],"outperforms":[103],"benchmark":[105],"differentially":[106],"private":[107],"algorithm":[110],"in":[111],"literature.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
