{"id":"https://openalex.org/W4389664969","doi":"https://doi.org/10.1109/tnse.2023.3342165","title":"Accelerated Distributed Optimization Algorithm With Malicious Nodes","display_name":"Accelerated Distributed Optimization Algorithm With Malicious Nodes","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4389664969","doi":"https://doi.org/10.1109/tnse.2023.3342165"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2023.3342165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3342165","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5101985636","display_name":"Shiheng Zhang","orcid":"https://orcid.org/0009-0002-9191-3202"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiheng Zhang","raw_affiliation_strings":["School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0009-0002-9191-3202","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100321249","display_name":"Zhi\u2010Wei Liu","orcid":"https://orcid.org/0000-0003-3005-1792"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Wei Liu","raw_affiliation_strings":["School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-3005-1792","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090447443","display_name":"Yan\u2010Wu Wang","orcid":"https://orcid.org/0000-0002-4722-1332"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan-Wu Wang","raw_affiliation_strings":["School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-4722-1332","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7547,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86001575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"2238","last_page":"2248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6795251965522766},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6577997207641602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6207060217857361},{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.567359209060669},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5367582440376282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.484352707862854},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.471620112657547},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.46029552817344666},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43740314245224},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43205732107162476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27744433283805847},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.21508771181106567},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.17716071009635925},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.12737539410591125}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6795251965522766},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6577997207641602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6207060217857361},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.567359209060669},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5367582440376282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.484352707862854},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.471620112657547},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.46029552817344666},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43740314245224},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43205732107162476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27744433283805847},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.21508771181106567},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.17716071009635925},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.12737539410591125},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2023.3342165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3342165","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2843151570","display_name":null,"funder_award_id":"62325304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4372123473","display_name":null,"funder_award_id":"61973133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G489005055","display_name":null,"funder_award_id":"62373162","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6010900714","display_name":null,"funder_award_id":"62233006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8967878662","display_name":null,"funder_award_id":"U22B2046","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1973184571","https://openalex.org/W2037603831","https://openalex.org/W2044212084","https://openalex.org/W2100953052","https://openalex.org/W2114791779","https://openalex.org/W2123705108","https://openalex.org/W2172813797","https://openalex.org/W2517192452","https://openalex.org/W2533385740","https://openalex.org/W2572746329","https://openalex.org/W2735167339","https://openalex.org/W2763533254","https://openalex.org/W2803277648","https://openalex.org/W2889141596","https://openalex.org/W2901838001","https://openalex.org/W2939578265","https://openalex.org/W2962775700","https://openalex.org/W2963649943","https://openalex.org/W3006548771","https://openalex.org/W3041260350","https://openalex.org/W3100513551","https://openalex.org/W3109412125","https://openalex.org/W3135778252","https://openalex.org/W3157226874","https://openalex.org/W3159930161","https://openalex.org/W3174920040","https://openalex.org/W3213434369","https://openalex.org/W4313190634","https://openalex.org/W4323345824","https://openalex.org/W4365790401","https://openalex.org/W4380839101","https://openalex.org/W4394661609","https://openalex.org/W6864698120"],"related_works":["https://openalex.org/W2996768723","https://openalex.org/W4212895949","https://openalex.org/W4230102134","https://openalex.org/W4247866870","https://openalex.org/W2112772040","https://openalex.org/W3216774880","https://openalex.org/W2744955408","https://openalex.org/W2022378219","https://openalex.org/W2885085733","https://openalex.org/W2087595259"],"abstract_inverted_index":{"This":[0,43],"paper":[1],"addresses":[2],"the":[3,20,24,34,46,64,78,81,85,105,111,115,121,129,132,138,141],"challenges":[4],"of":[5,26,49,58,80,84,107,114,140],"slow":[6],"convergence":[7,21,127,147],"and":[8,77,91,126],"vulnerability":[9],"to":[10,52,54,72,103,128],"attacks":[11],"in":[12,23,67],"distributed":[13,68],"optimization":[14,69],"for":[15],"multi-agent":[16],"systems.":[17],"To":[18,94],"improve":[19],"rate":[22,148],"presence":[25],"malicious":[27],"nodes,":[28],"a":[29,55,73,98,145],"novel":[30],"algorithm":[31,44,123],"that":[32,120],"combines":[33],"Mean-Subsequence-Reduce":[35],"(MSR)":[36],"method":[37,66],"with":[38],"gradient":[39],"tracking":[40],"is":[41,101],"proposed.":[42],"enables":[45],"local":[47],"variables":[48],"normal":[50],"agents":[51],"converge":[53],"convex":[56],"combination":[57],"locally":[59],"optimal":[60],"solutions.":[61],"However,":[62],"using":[63],"MSR":[65],"can":[70],"lead":[71],"time-varying":[74],"transition":[75,86,116],"matrix":[76],"loss":[79],"double":[82],"stochasticity":[83,113],"matrix,":[87],"which":[88],"presents":[89],"design":[90],"analysis":[92],"challenges.":[93],"mitigate":[95],"this":[96],"issue,":[97],"decreasing":[99],"factor":[100],"introduced":[102],"alleviate":[104],"accumulation":[106],"errors":[108],"caused":[109],"by":[110],"single-row":[112],"matrix.":[117],"We":[118],"prove":[119],"proposed":[122,142],"achieves":[124],"consensus":[125],"point":[130],"satisfying":[131],"optimality":[133],"conditions.":[134],"Numerical":[135],"examples":[136],"demonstrate":[137],"effectiveness":[139],"algorithm,":[143],"showing":[144],"faster":[146],"than":[149],"existing":[150],"methods.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
