{"id":"https://openalex.org/W3182470338","doi":"https://doi.org/10.1109/tmc.2021.3093316","title":"Matrix Gaussian Mechanisms for Differentially-Private Learning","display_name":"Matrix Gaussian Mechanisms for Differentially-Private Learning","publication_year":2021,"publication_date":"2021-07-06","ids":{"openalex":"https://openalex.org/W3182470338","doi":"https://doi.org/10.1109/tmc.2021.3093316","mag":"3182470338"},"language":"en","primary_location":{"id":"doi:10.1109/tmc.2021.3093316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2021.3093316","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Transactions on Mobile Computing","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/A5020124916","display_name":"Jungang Yang","orcid":"https://orcid.org/0000-0001-5416-9547"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jungang Yang","raw_affiliation_strings":["Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-5416-9547","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018175815","display_name":"Liyao Xiang","orcid":"https://orcid.org/0000-0003-0165-4930"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyao Xiang","raw_affiliation_strings":["Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-0165-4930","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071341911","display_name":"Jiahao Yu","orcid":"https://orcid.org/0000-0002-4690-4334"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiahao Yu","raw_affiliation_strings":["Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4690-4334","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034483183","display_name":"Xinbing Wang","orcid":"https://orcid.org/0000-0002-0357-8356"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinbing Wang","raw_affiliation_strings":["Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-0357-8356","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078005520","display_name":"Bin Guo","orcid":"https://orcid.org/0000-0001-6097-2467"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Guo","raw_affiliation_strings":["Northwestern Polytechnical University (NPU), Xi&#x0027;an, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0001-6097-2467","affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University (NPU), Xi&#x0027;an, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081827896","display_name":"Zhetao Li","orcid":"https://orcid.org/0000-0002-7804-0286"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhetao Li","raw_affiliation_strings":["Xiangtan University, Hunan, China"],"raw_orcid":"https://orcid.org/0000-0002-7804-0286","affiliations":[{"raw_affiliation_string":"Xiangtan University, Hunan, China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083596391","display_name":"Baochun Li","orcid":"https://orcid.org/0000-0003-2404-0974"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Baochun Li","raw_affiliation_strings":["University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0003-2404-0974","affiliations":[{"raw_affiliation_string":"University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8189,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77716919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"1036","last_page":"1048"},"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/T11704","display_name":"Mobile Crowdsensing and Crowdsourcing","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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":0.9835000038146973,"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":0.9565032124519348},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7862150073051453},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5543538331985474},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.4494936466217041},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4374801218509674},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4274541437625885},{"id":"https://openalex.org/keywords/information-privacy","display_name":"Information privacy","score":0.4143146276473999},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41289791464805603},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4000185430049896},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3912167251110077},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32322049140930176},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.1282261312007904}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.9565032124519348},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7862150073051453},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5543538331985474},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.4494936466217041},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4374801218509674},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4274541437625885},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.4143146276473999},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41289791464805603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4000185430049896},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3912167251110077},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32322049140930176},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.1282261312007904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmc.2021.3093316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2021.3093316","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Transactions on Mobile Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1446333884","https://openalex.org/W1524581953","https://openalex.org/W1873763122","https://openalex.org/W1985511977","https://openalex.org/W1992926795","https://openalex.org/W2053637704","https://openalex.org/W2077217970","https://openalex.org/W2112796928","https://openalex.org/W2162379889","https://openalex.org/W2473418344","https://openalex.org/W2520442116","https://openalex.org/W2605258322","https://openalex.org/W2809414288","https://openalex.org/W2919337578","https://openalex.org/W2927692314","https://openalex.org/W2950943617","https://openalex.org/W2963062476","https://openalex.org/W2963126806","https://openalex.org/W2965057263","https://openalex.org/W2984601511","https://openalex.org/W2986151549","https://openalex.org/W2989394982","https://openalex.org/W2990239018","https://openalex.org/W3015535799","https://openalex.org/W3015680087","https://openalex.org/W3016632787","https://openalex.org/W3027749727","https://openalex.org/W3046337608","https://openalex.org/W3046764764","https://openalex.org/W3047250731","https://openalex.org/W3047343370","https://openalex.org/W3102360395","https://openalex.org/W3118608800","https://openalex.org/W3120740533","https://openalex.org/W4205228770","https://openalex.org/W4250589301","https://openalex.org/W4290960278","https://openalex.org/W4298221930","https://openalex.org/W6676984168","https://openalex.org/W6677855611","https://openalex.org/W6743732567","https://openalex.org/W6746720608","https://openalex.org/W6747732332","https://openalex.org/W6751920018","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W2751208925","https://openalex.org/W3126131230","https://openalex.org/W2347541121","https://openalex.org/W4288804799","https://openalex.org/W2080951048","https://openalex.org/W3089617106","https://openalex.org/W3032237421","https://openalex.org/W3038283795","https://openalex.org/W2900759811"],"abstract_inverted_index":{"The":[0],"wide":[1],"deployment":[2],"of":[3,21,81],"machine":[4],"learning":[5,18,100],"algorithms":[6],"has":[7,141],"become":[8],"a":[9,90,142],"severe":[10],"threat":[11],"to":[12,71,146,156],"user":[13],"data":[14,19,64,101],"privacy.":[15,102],"As":[16,77],"the":[17,50,63,78,105,109,127,131,163],"is":[20,30,56],"high":[22,25],"dimensionality":[23],"and":[24,69,140],"orders,":[26],"preserving":[27,99],"its":[28],"privacy":[29,35,74,96,166],"intrinsically":[31],"hard.":[32],"Conventional":[33],"differential":[34,165],"mechanisms":[36,114,133,167],"often":[37],"incur":[38],"significant":[39],"utility":[40,128],"decline":[41],"as":[42],"they":[43],"are":[44,160],"designed":[45],"for":[46,98],"scalar":[47],"values":[48],"from":[49],"start.":[51],"We":[52,122,149],"recognize":[53],"that":[54,125,152],"it":[55],"because":[57],"conventional":[58],"approaches":[59],"do":[60],"not":[61],"take":[62],"structural":[65],"information":[66],"into":[67],"account,":[68],"fail":[70],"provide":[72],"sufficient":[73],"or":[75],"utility.":[76,121,169],"main":[79],"novelty":[80],"this":[82],"work,":[83],"we":[84,111],"propose":[85],"<i>Matrix":[86],"Gaussian":[87],"Mechanism</i>":[88],"(MGM),":[89],"new":[91],"<inline-formula><tex-math":[92],"notation=\"LaTeX\">$":[93],"(\\epsilon,\\delta)$</tex-math></inline-formula>":[94],"-differential":[95],"mechanism":[97],"By":[103],"imposing":[104],"unimodal":[106],"distributions":[107],"on":[108,116],"noise,":[110],"introduce":[112],"two":[113],"based":[115],"MGM":[117],"with":[118,126,137],"an":[119],"improved":[120],"further":[123],"show":[124,151],"space":[129],"available,":[130],"proposed":[132],"can":[134],"be":[135],"instantiated":[136],"optimized":[138],"utility,":[139],"closed-form":[143],"solution":[144],"scalable":[145],"large-scale":[147],"problems.":[148],"experimentally":[150],"our":[153],"mechanisms,":[154],"applied":[155],"privacy-preserving":[157],"federated":[158],"learning,":[159],"superior":[161],"than":[162],"state-of-the-art":[164],"in":[168]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
