{"id":"https://openalex.org/W4390731458","doi":"https://doi.org/10.1109/tac.2024.3351869","title":"Differentially Private Bipartite Consensus Over Signed Networks With Time-Varying Noises","display_name":"Differentially Private Bipartite Consensus Over Signed Networks With Time-Varying Noises","publication_year":2024,"publication_date":"2024-01-09","ids":{"openalex":"https://openalex.org/W4390731458","doi":"https://doi.org/10.1109/tac.2024.3351869"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3351869","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3351869","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5100772427","display_name":"Jimin Wang","orcid":"https://orcid.org/0000-0001-9591-2931"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jimin Wang","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China","Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083472564","display_name":"Jieming Ke","orcid":"https://orcid.org/0000-0003-0030-5843"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jieming Ke","raw_affiliation_strings":["Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100784043","display_name":"Ji\u2010Feng Zhang","orcid":"https://orcid.org/0000-0002-0656-2886"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Feng Zhang","raw_affiliation_strings":["Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100772427"],"corresponding_institution_ids":["https://openalex.org/I92403157"],"apc_list":null,"apc_paid":null,"fwci":11.1679,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.98680971,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"69","issue":"9","first_page":"5788","last_page":"5803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9972000122070312,"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":0.9972000122070312,"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/T11716","display_name":"Random Matrices and Applications","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9717000126838684,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8929523229598999},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7973553538322449},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6990034580230713},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5364943146705627},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5328182578086853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4705139696598053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45369744300842285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45170605182647705},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4244164228439331},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4149662256240845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35026317834854126},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2566707730293274},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1703316569328308},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08762672543525696}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.8929523229598999},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7973553538322449},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6990034580230713},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5364943146705627},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5328182578086853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4705139696598053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45369744300842285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45170605182647705},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4244164228439331},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4149662256240845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35026317834854126},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2566707730293274},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1703316569328308},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08762672543525696},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3351869","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3351869","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G6614612859","display_name":null,"funder_award_id":"62203045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6713933699","display_name":null,"funder_award_id":"T2293770","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W105751747","https://openalex.org/W1813761616","https://openalex.org/W1920382817","https://openalex.org/W1967509640","https://openalex.org/W1982439975","https://openalex.org/W1992412916","https://openalex.org/W1998345701","https://openalex.org/W1999245242","https://openalex.org/W2005462718","https://openalex.org/W2075469757","https://openalex.org/W2082406127","https://openalex.org/W2096241946","https://openalex.org/W2106069292","https://openalex.org/W2107396783","https://openalex.org/W2139553355","https://openalex.org/W2145554346","https://openalex.org/W2294138114","https://openalex.org/W2606845378","https://openalex.org/W2611077194","https://openalex.org/W2623922350","https://openalex.org/W2790567968","https://openalex.org/W2792700081","https://openalex.org/W2803277648","https://openalex.org/W2889159892","https://openalex.org/W2892946647","https://openalex.org/W2901117815","https://openalex.org/W2911978475","https://openalex.org/W2916583047","https://openalex.org/W2942154814","https://openalex.org/W2952983945","https://openalex.org/W2962678892","https://openalex.org/W2963112534","https://openalex.org/W2963245972","https://openalex.org/W2964008526","https://openalex.org/W2964208174","https://openalex.org/W2964240066","https://openalex.org/W3037929295","https://openalex.org/W3092133968","https://openalex.org/W3098954913","https://openalex.org/W3156036467","https://openalex.org/W3165210207","https://openalex.org/W3204238558","https://openalex.org/W3204256486","https://openalex.org/W3210037423","https://openalex.org/W4280580517","https://openalex.org/W4281699085","https://openalex.org/W4300961712","https://openalex.org/W4301031214","https://openalex.org/W4312292850","https://openalex.org/W4372037445"],"related_works":["https://openalex.org/W3038283795","https://openalex.org/W2604501336","https://openalex.org/W2734500670","https://openalex.org/W2558166297","https://openalex.org/W2371352078","https://openalex.org/W2315671126","https://openalex.org/W798507144","https://openalex.org/W2964481303","https://openalex.org/W2571704763","https://openalex.org/W2953461625"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,28,36,39,42,54,59,62,78,85,104,107,111,115,120,124,132,139,142,149,155,158,161,165,176,181],"differentially":[4],"private":[5],"bipartite":[6,117],"consensus":[7,118],"problem":[8],"over":[9],"signed":[10],"networks.":[11],"To":[12],"solve":[13],"this":[14],"problem,":[15],"a":[16,73,100,172],"new":[17],"algorithm":[18,86,112],"is":[19],"proposed":[20],"by":[21],"adding":[22],"noises":[23,44,64],"with":[24,93,119,145],"time-varying":[25,74],"variances":[26,40,60],"to":[27,34,47,102,113,167],"cooperative-competitive":[29],"interactive":[30],"information.":[31],"In":[32,57],"order":[33],"achieve":[35,114],"privacy":[37,95,127,143,150],"protection,":[38],"of":[41,61,138,148],"added":[43,63],"are":[45,50],"allowed":[46],"increase,":[48],"which":[49],"substantially":[51],"different":[52,146],"from":[53],"existing":[55,185],"works.":[56],"addition,":[58],"can":[65],"be":[66],"either":[67],"decaying":[68],"or":[69],"constant.":[70],"By":[71],"using":[72],"step-size":[75,105],"based":[76],"on":[77],"stochastic":[79],"approximation":[80],"method,":[81],"we":[82,130],"show":[83],"that":[84],"converges":[87],"in":[88],"mean-square":[89,133],"and":[90,106,123,134,141,160,163,179],"almost-surely":[91],"even":[92],"increasing":[94],"noises.":[96,151],"We":[97,152],"further":[98],"develop":[99],"method":[101],"design":[103],"noise":[108],"parameter,":[109],"affording":[110],"average":[116],"desired":[121],"accuracy":[122,159],"predefined":[125],"differential":[126,169],"level.":[128],"Moreover,":[129],"give":[131],"almost-sure":[135],"convergence":[136],"rates":[137],"algorithm,":[140],"level":[144],"forms":[147],"also":[153],"reveal":[154],"trade-off":[156],"between":[157],"privacy,":[162],"extend":[164],"results":[166,178],"local":[168],"privacy.":[170],"Finally,":[171],"numerical":[173],"example":[174],"verifies":[175],"theoretical":[177],"demonstrates":[180],"algorithm's":[182],"superiority":[183],"against":[184],"methods.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}