{"id":"https://openalex.org/W4226338207","doi":"https://doi.org/10.1109/tifs.2022.3170271","title":"Laplacian Smoothing Stochastic ADMMs With Differential Privacy Guarantees","display_name":"Laplacian Smoothing Stochastic ADMMs With Differential Privacy Guarantees","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226338207","doi":"https://doi.org/10.1109/tifs.2022.3170271"},"language":"en","primary_location":{"id":"doi:10.1109/tifs.2022.3170271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2022.3170271","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Transactions on Information Forensics and Security","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/A5100405030","display_name":"Yuanyuan Liu","orcid":"https://orcid.org/0000-0001-8646-8533"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Liu","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0001-8646-8533","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029401469","display_name":"Jiacheng Geng","orcid":"https://orcid.org/0000-0002-5629-893X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiacheng Geng","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0002-5629-893X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067858777","display_name":"Fanhua Shang","orcid":"https://orcid.org/0000-0002-1040-352X"},"institutions":[{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanhua Shang","raw_affiliation_strings":["School of Computer Science and Technology, College of Intelligence and Computing, Tianjin University, Tianjin, China","Peng Cheng Laboratory, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-1040-352X","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, College of Intelligence and Computing, Tianjin University, Tianjin, China","institution_ids":[]},{"raw_affiliation_string":"Peng Cheng Laboratory, Shenzhen, China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071704046","display_name":"Weixin An","orcid":"https://orcid.org/0000-0002-9466-2851"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weixin An","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0002-9466-2851","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100757725","display_name":"Hongying Liu","orcid":"https://orcid.org/0000-0002-8475-2749"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongying Liu","raw_affiliation_strings":["Peng Cheng Laboratory, Shenzhen, China","Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, China"],"raw_orcid":"https://orcid.org/0000-0002-8475-2749","affiliations":[{"raw_affiliation_string":"Peng Cheng Laboratory, Shenzhen, China","institution_ids":["https://openalex.org/I4210136793"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020896290","display_name":"Qi Zhu","orcid":"https://orcid.org/0000-0002-7700-4099"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Zhu","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University, Xi’an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100721881","display_name":"Wei Feng","orcid":"https://orcid.org/0000-0003-3809-1086"},"institutions":[{"id":"https://openalex.org/I2800287464","display_name":"State Administration of Cultural Heritage","ror":"https://ror.org/04d0vc473","country_code":"CN","type":"government","lineage":["https://openalex.org/I2800287464"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Feng","raw_affiliation_strings":["School of Computer Science and Technology, College of Intelligence and Computing, Tianjin University, Tianjin, China","Key Research Center for Surface Monitoring and Analysis of Cultural Relics, State Administration of Cultural Heritage (SACH), Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-3809-1086","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, College of Intelligence and Computing, Tianjin University, Tianjin, China","institution_ids":[]},{"raw_affiliation_string":"Key Research Center for Surface Monitoring and Analysis of Cultural Relics, State Administration of Cultural Heritage (SACH), Tianjin, China","institution_ids":["https://openalex.org/I2800287464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0497,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7994145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":null,"first_page":"1814","last_page":"1826"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/differential-privacy","display_name":"Differential privacy","score":0.9280579090118408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7682827115058899},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6496981978416443},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5759807229042053},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.49024420976638794},{"id":"https://openalex.org/keywords/gaussian-blur","display_name":"Gaussian blur","score":0.43236109614372253},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42938172817230225},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.41630691289901733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3091830015182495},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2804868221282959},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24741911888122559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16238144040107727},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11311620473861694},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.07421106100082397}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.9280579090118408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7682827115058899},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6496981978416443},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5759807229042053},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.49024420976638794},{"id":"https://openalex.org/C104317376","wikidata":"https://www.wikidata.org/wiki/Q1894545","display_name":"Gaussian blur","level":5,"score":0.43236109614372253},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42938172817230225},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.41630691289901733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3091830015182495},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2804868221282959},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24741911888122559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16238144040107727},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11311620473861694},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.07421106100082397},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tifs.2022.3170271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2022.3170271","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Transactions on Information Forensics and Security","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1115270279","display_name":null,"funder_award_id":"2022GY-061","funder_id":"https://openalex.org/F4320336567","funder_display_name":"Natural Science Basic Research Program of Shaanxi Province"},{"id":"https://openalex.org/G333855296","display_name":null,"funder_award_id":"61876220","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3704551478","display_name":"\u57fa\u4e8e\u4e3b\u52a8\u89c6\u89c9\u7684\u5f00\u653e\u73af\u5883\u9ad8\u503c\u76ee\u6807\u5fae\u53d8\u76d1\u6d4b\u65b9\u6cd5\u7814\u7a76","funder_award_id":"62072334","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4562403033","display_name":null,"funder_award_id":"61876221","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6270178909","display_name":null,"funder_award_id":"61836009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6936481620","display_name":null,"funder_award_id":"61976164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336567","display_name":"Natural Science Basic Research Program of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W25321933","https://openalex.org/W38875623","https://openalex.org/W145340640","https://openalex.org/W1563975843","https://openalex.org/W1977777127","https://openalex.org/W1985511977","https://openalex.org/W1986080131","https://openalex.org/W1992926795","https://openalex.org/W2027595342","https://openalex.org/W2076261573","https://openalex.org/W2102241087","https://openalex.org/W2105693192","https://openalex.org/W2107438106","https://openalex.org/W2151128232","https://openalex.org/W2164278908","https://openalex.org/W2510516734","https://openalex.org/W2594311007","https://openalex.org/W2604718646","https://openalex.org/W2605258322","https://openalex.org/W2608679281","https://openalex.org/W2626769593","https://openalex.org/W2768931586","https://openalex.org/W2783434283","https://openalex.org/W2808102858","https://openalex.org/W2809607392","https://openalex.org/W2813079518","https://openalex.org/W2884132298","https://openalex.org/W2932329902","https://openalex.org/W2950943617","https://openalex.org/W2950948235","https://openalex.org/W2953449233","https://openalex.org/W2963695762","https://openalex.org/W2963999993","https://openalex.org/W2964185543","https://openalex.org/W2976306682","https://openalex.org/W2976826043","https://openalex.org/W2980701846","https://openalex.org/W2982563921","https://openalex.org/W3007192423","https://openalex.org/W3011064227","https://openalex.org/W3034598017","https://openalex.org/W3035335410","https://openalex.org/W3106348863","https://openalex.org/W3147500629","https://openalex.org/W3199945025","https://openalex.org/W3201408802","https://openalex.org/W4292363360","https://openalex.org/W4297234438","https://openalex.org/W6601023912","https://openalex.org/W6601610330","https://openalex.org/W6605836063","https://openalex.org/W6633789451","https://openalex.org/W6676105031","https://openalex.org/W6677855611","https://openalex.org/W6682227116","https://openalex.org/W6685690991","https://openalex.org/W6714662255","https://openalex.org/W6726020465","https://openalex.org/W6743732567","https://openalex.org/W6746501012","https://openalex.org/W6753411400","https://openalex.org/W6764985737","https://openalex.org/W6769876581","https://openalex.org/W6770878849","https://openalex.org/W6801274487"],"related_works":["https://openalex.org/W2063769574","https://openalex.org/W2134831563","https://openalex.org/W2549920676","https://openalex.org/W2083966666","https://openalex.org/W2368921446","https://openalex.org/W4241340242","https://openalex.org/W2391139946","https://openalex.org/W2384692698","https://openalex.org/W2990717236","https://openalex.org/W2374434520"],"abstract_inverted_index":{"Many":[0],"machine":[1,84],"learning":[2,11,85],"tasks":[3],"such":[4,35],"as":[5],"structured":[6],"sparse":[7],"coding":[8],"and":[9,38,112,145,172,201],"multi-task":[10],"can":[12,114,184],"be":[13],"converted":[14],"into":[15,53,106],"an":[16,55,128],"equality":[17,82,96],"constrained":[18,83,97],"optimization":[19],"problem.":[20],"The":[21],"stochastic":[22,77,134,159],"alternating":[23],"direction":[24],"method":[25],"of":[26,189,204],"multipliers":[27],"(SADMM)":[28],"is":[29,103],"a":[30,73,99,150,155],"popular":[31],"algorithm":[32,137,161],"to":[33,51,89],"solve":[34],"large-scale":[36],"problems,":[37],"has":[39],"been":[40],"successfully":[41],"used":[42,120],"in":[43,58,94,121],"many":[44],"real-world":[45,195],"applications.":[46],"However,":[47],"existing":[48],"SADMMs":[49],"fail":[50],"take":[52],"consideration":[54],"important":[56],"issue":[57],"their":[59],"designs,":[60],"i.e.,":[61],"protecting":[62],"sensitive":[63],"information.":[64],"To":[65],"address":[66],"this":[67,70],"challenging":[68],"issue,":[69],"paper":[71],"proposes":[72],"novel":[74],"differential":[75,108],"privacy":[76,109],"ADMM":[78,110,135,160],"framework":[79],"for":[80,141,175],"solving":[81],"problems.":[86],"In":[87,165],"particular,":[88],"further":[90],"lift":[91],"the":[92,117,122,176,186,202],"utility":[93,173,187],"privacy-preserving":[95],"optimization,":[98],"Laplacian":[100,139,182],"smoothing":[101,140,183],"operation":[102],"also":[104,153],"introduced":[105],"our":[107,190,198,205],"framework,":[111],"it":[113],"smooth":[115],"out":[116],"Gaussian":[118,123],"noise":[119],"mechanism.":[124],"Then":[125],"we":[126,152,167],"propose":[127],"efficient":[129],"differentially":[130,157],"private":[131,158,170],"variance":[132],"reduced":[133],"(DP-VRADMM)":[136],"with":[138,162],"both":[142,169],"strongly":[143],"convex":[144,147],"general":[146],"objectives.":[148],"As":[149],"by-product,":[151],"present":[154],"new":[156],"DP":[163],"guarantees.":[164],"theory,":[166],"provide":[168],"guarantees":[171,174],"proposed":[177],"algorithms,":[178],"which":[179],"show":[180],"that":[181],"improve":[185],"bounds":[188],"algorithms.":[191,206],"Experimental":[192],"results":[193,200],"on":[194],"datasets":[196],"verify":[197],"theoretical":[199],"effectiveness":[203]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}