{"id":"https://openalex.org/W4405811863","doi":"https://doi.org/10.1109/tsmc.2024.3516936","title":"Linear Convergence of Asynchronous Gradient Push Algorithm for Distributed Optimization","display_name":"Linear Convergence of Asynchronous Gradient Push Algorithm for Distributed Optimization","publication_year":2024,"publication_date":"2024-12-26","ids":{"openalex":"https://openalex.org/W4405811863","doi":"https://doi.org/10.1109/tsmc.2024.3516936"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2024.3516936","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2024.3516936","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5000100573","display_name":"Huaqing Li","orcid":"https://orcid.org/0000-0001-6310-8965"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaqing Li","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing and the College of Electronic and Information Engineering, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-6310-8965","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing and the College of Electronic and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003327105","display_name":"Huqiang Cheng","orcid":"https://orcid.org/0000-0003-4004-8490"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]},{"id":"https://openalex.org/I4210094876","display_name":"Ministry of Education","ror":"https://ror.org/00q919b81","country_code":"SA","type":"government","lineage":["https://openalex.org/I4210094876"]}],"countries":["CN","SA"],"is_corresponding":false,"raw_author_name":"Huqiang Cheng","raw_affiliation_strings":["Key Laboratory of Dependable Services Computing in Cyber-Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","Key Laboratory of Dependable Services Computing in Cyber&#x2013;Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-4004-8490","affiliations":[{"raw_affiliation_string":"Key Laboratory of Dependable Services Computing in Cyber-Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I4210094876"]},{"raw_affiliation_string":"Key Laboratory of Dependable Services Computing in Cyber&#x2013;Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081963477","display_name":"Qingguo L\u00fc","orcid":"https://orcid.org/0000-0003-3602-0946"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]},{"id":"https://openalex.org/I4210094876","display_name":"Ministry of Education","ror":"https://ror.org/00q919b81","country_code":"SA","type":"government","lineage":["https://openalex.org/I4210094876"]}],"countries":["CN","SA"],"is_corresponding":false,"raw_author_name":"Qingguo L\u00fc","raw_affiliation_strings":["Key Laboratory of Dependable Services Computing in Cyber-Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","Key Laboratory of Dependable Services Computing in Cyber&#x2013;Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-3602-0946","affiliations":[{"raw_affiliation_string":"Key Laboratory of Dependable Services Computing in Cyber-Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I4210094876"]},{"raw_affiliation_string":"Key Laboratory of Dependable Services Computing in Cyber&#x2013;Physical Society-Ministry of Education and the College of Computer Science, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058316756","display_name":"Zheng Wang","orcid":"https://orcid.org/0000-0001-6924-0270"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Wang","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing and the College of Electronic and Information Engineering, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-6924-0270","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing and the College of Electronic and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]},{"id":"https://openalex.org/I4210152380","display_name":"Shenzhen Technology University","ror":"https://ror.org/04qzpec27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152380"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210152380","https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2841,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60333522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"55","issue":"3","first_page":"2147","last_page":"2159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.8619999885559082,"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/T12288","display_name":"Optimization and Search Problems","score":0.8619999885559082,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.8393999934196472,"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"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.7925000190734863,"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/asynchronous-communication","display_name":"Asynchronous communication","score":0.7177875638008118},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6738033890724182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5882863998413086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4612926244735718},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4355432391166687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43120428919792175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2559688687324524},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10800954699516296}],"concepts":[{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.7177875638008118},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6738033890724182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5882863998413086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4612926244735718},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4355432391166687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43120428919792175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2559688687324524},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10800954699516296},{"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/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/tsmc.2024.3516936","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2024.3516936","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3255490335","display_name":null,"funder_award_id":"62173278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3311396127","display_name":null,"funder_award_id":"SWU-XDJH202312","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1989054487","https://openalex.org/W2044212084","https://openalex.org/W2075752243","https://openalex.org/W2093777540","https://openalex.org/W2110100895","https://openalex.org/W2117905067","https://openalex.org/W2120286056","https://openalex.org/W2124541940","https://openalex.org/W2130263842","https://openalex.org/W2130758224","https://openalex.org/W2135674292","https://openalex.org/W2137435346","https://openalex.org/W2223126829","https://openalex.org/W2476071355","https://openalex.org/W2590635385","https://openalex.org/W2737743075","https://openalex.org/W2763533254","https://openalex.org/W2885464805","https://openalex.org/W2912544891","https://openalex.org/W2950575908","https://openalex.org/W2963090384","https://openalex.org/W2963156126","https://openalex.org/W2963596156","https://openalex.org/W2963607435","https://openalex.org/W2963649943","https://openalex.org/W2981325437","https://openalex.org/W2999668538","https://openalex.org/W3006548771","https://openalex.org/W3009520628","https://openalex.org/W3010781917","https://openalex.org/W3092262213","https://openalex.org/W3185378538","https://openalex.org/W3186834862","https://openalex.org/W4206742934","https://openalex.org/W4226170071","https://openalex.org/W4292363360","https://openalex.org/W4320168507","https://openalex.org/W4388065282","https://openalex.org/W4389610294","https://openalex.org/W4391020410","https://openalex.org/W4391791525","https://openalex.org/W4392061679","https://openalex.org/W4393092629","https://openalex.org/W4394843081","https://openalex.org/W4394910402","https://openalex.org/W4402893692","https://openalex.org/W6688698367","https://openalex.org/W6745458143","https://openalex.org/W6758995380"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2116677773","https://openalex.org/W2073681303","https://openalex.org/W2155261584","https://openalex.org/W2584231425","https://openalex.org/W2150611273","https://openalex.org/W4207086172","https://openalex.org/W2042919702","https://openalex.org/W4225981436","https://openalex.org/W2156185805"],"abstract_inverted_index":{"This":[0],"article":[1],"focuses":[2],"on":[3],"multiagent":[4],"distributed":[5],"asynchronous":[6,89,142,201],"optimization":[7],"over":[8,198],"directed":[9],"networks":[10],"where":[11,162],"each":[12,138],"agent":[13,139],"can":[14],"only":[15],"access":[16],"its":[17],"individual":[18],"local":[19,33,61,64,130],"function,":[20],"and":[21,49,70,114,128,174],"the":[22,28,36,39,74,99,122,129,141,147,177,199],"aggregate":[23],"aim":[24],"is":[25,94,125,171],"to":[26,83,96,146],"minimize":[27],"cumulative":[29],"sum":[30],"of":[31,55,76,101],"all":[32],"functions.":[34],"Considering":[35],"asynchrony":[37,80],"among":[38],"agents,":[40],"we":[41,135],"develop":[42],"an":[43,88,152],"algorithm":[44,143,194],"in":[45],"which":[46,110],"agents":[47],"compute":[48],"communicate":[50],"individually,":[51],"without":[52],"any":[53],"form":[54],"synchronized":[56],"coordination.":[57],"Agents":[58],"perform":[59],"their":[60,67],"updates":[62],"by":[63],"communication":[65],"with":[66,180],"immediate":[68],"neighbors,":[69],"this":[71],"may":[72],"involve":[73],"use":[75],"stale":[77],"information.":[78],"Since":[79],"naturally":[81],"leads":[82],"latency":[84],"or":[85,118],"packet":[86],"loss,":[87],"robust":[90],"gradient":[91],"tracking":[92],"mechanism":[93],"developed":[95],"guarantee":[97],"estimating":[98],"average":[100],"agents\u2019":[102],"gradients":[103],"precisely.":[104],"Moreover,":[105],"it":[106],"employs":[107],"uncoordinated":[108],"step-sizes":[109],"are":[111],"more":[112],"flexible":[113],"general":[115],"than":[116],"constant":[117],"decaying":[119],"step-size.":[120],"When":[121],"global":[123],"objective":[124],"strongly":[126],"convex":[127],"objectives":[131],"have":[132],"Lipschitz-continuous":[133],"gradients,":[134],"prove":[136],"that":[137,192],"executing":[140],"linearly":[144],"converges":[145],"consensus":[148],"optimal":[149],"point":[150],"at":[151],"<inline-formula":[153,163],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[154,164],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[155,165],"<tex-math":[156,166],"notation=\"LaTeX\">$\\mathcal":[157],"{O}(\\lambda":[158],"^{k})$":[159],"</tex-math></inline-formula>":[160,170],"rate,":[161],"notation=\"LaTeX\">$\\lambda":[167],"\\in":[168],"(0,1)$":[169],"convergence":[172],"factor":[173],"k":[175],"represents":[176],"iteration":[178],"number,":[179],"a":[181,184],"step":[182],"satisfying":[183],"tight":[185],"explicit":[186],"upper":[187],"bound.":[188],"Numerical":[189],"experiments":[190],"demonstrate":[191],"our":[193],"has":[195],"better":[196],"advantages":[197],"state-of-the-art":[200],"algorithms.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}