{"id":"https://openalex.org/W3009520628","doi":"https://doi.org/10.1109/tac.2020.2977940","title":"Achieving Linear Convergence in Distributed Asynchronous Multiagent Optimization","display_name":"Achieving Linear Convergence in Distributed Asynchronous Multiagent Optimization","publication_year":2020,"publication_date":"2020-03-03","ids":{"openalex":"https://openalex.org/W3009520628","doi":"https://doi.org/10.1109/tac.2020.2977940","mag":"3009520628"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.2977940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2977940","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/A5101883909","display_name":"Ye Tian","orcid":"https://orcid.org/0000-0001-9085-6280"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ye Tian","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0001-9085-6280","affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100672752","display_name":"Ying Sun","orcid":"https://orcid.org/0000-0002-9709-6509"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Sun","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-9709-6509","affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041765559","display_name":"Gesualdo Scutari","orcid":"https://orcid.org/0000-0002-6453-6870"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gesualdo Scutari","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-6453-6870","affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101883909"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":8.7405,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.97958988,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"12","first_page":"5264","last_page":"5279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9961000084877014,"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":0.9800000190734863,"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/asynchronous-communication","display_name":"Asynchronous communication","score":0.8039050102233887},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.7316780090332031},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6208240985870361},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5931143164634705},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5838165879249573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5700658559799194},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5309305191040039},{"id":"https://openalex.org/keywords/asynchrony","display_name":"Asynchrony (computer programming)","score":0.5272637605667114},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5139143466949463},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.49274948239326477},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47331225872039795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3553059697151184},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32169803977012634},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.14330118894577026},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.12308269739151001},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10691902041435242}],"concepts":[{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.8039050102233887},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.7316780090332031},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6208240985870361},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5931143164634705},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5838165879249573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5700658559799194},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5309305191040039},{"id":"https://openalex.org/C2779019669","wikidata":"https://www.wikidata.org/wiki/Q25203946","display_name":"Asynchrony (computer programming)","level":3,"score":0.5272637605667114},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5139143466949463},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.49274948239326477},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47331225872039795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3553059697151184},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32169803977012634},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.14330118894577026},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.12308269739151001},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10691902041435242},{"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},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.2977940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2977940","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":[],"awards":[{"id":"https://openalex.org/G2648298083","display_name":null,"funder_award_id":"CIF 1632599","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G3450649820","display_name":null,"funder_award_id":"CIF 1719205","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G3964568398","display_name":null,"funder_award_id":"W911NF1810238","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4784054808","display_name":null,"funder_award_id":"N00014-16-1-2244","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W604355987","https://openalex.org/W778657980","https://openalex.org/W1603765807","https://openalex.org/W2047894825","https://openalex.org/W2075752243","https://openalex.org/W2079482358","https://openalex.org/W2089855386","https://openalex.org/W2093777540","https://openalex.org/W2110100895","https://openalex.org/W2130263842","https://openalex.org/W2138243089","https://openalex.org/W2145417574","https://openalex.org/W2151532749","https://openalex.org/W2152637881","https://openalex.org/W2154834860","https://openalex.org/W2163525955","https://openalex.org/W2169167445","https://openalex.org/W2211881362","https://openalex.org/W2243837470","https://openalex.org/W2251632681","https://openalex.org/W2266148951","https://openalex.org/W2291434103","https://openalex.org/W2345689776","https://openalex.org/W2394881237","https://openalex.org/W2605994693","https://openalex.org/W2737743075","https://openalex.org/W2765692789","https://openalex.org/W2781354165","https://openalex.org/W2794270121","https://openalex.org/W2794767639","https://openalex.org/W2892002891","https://openalex.org/W2903454316","https://openalex.org/W2912544891","https://openalex.org/W2947882888","https://openalex.org/W2962760808","https://openalex.org/W2963090384","https://openalex.org/W2963395095","https://openalex.org/W2963590077","https://openalex.org/W2963607435","https://openalex.org/W2963649943","https://openalex.org/W2963680015","https://openalex.org/W2963903325","https://openalex.org/W2964100543","https://openalex.org/W3099880469","https://openalex.org/W3103793615","https://openalex.org/W3120740533","https://openalex.org/W4206180546","https://openalex.org/W6622473587","https://openalex.org/W6749849009","https://openalex.org/W6756732450","https://openalex.org/W6762890449","https://openalex.org/W6764309476","https://openalex.org/W6785859992"],"related_works":["https://openalex.org/W2944915449","https://openalex.org/W2102266661","https://openalex.org/W2122229220","https://openalex.org/W4283014255","https://openalex.org/W2945629716","https://openalex.org/W4283775266","https://openalex.org/W3043533097","https://openalex.org/W4298860769","https://openalex.org/W2767126220","https://openalex.org/W3007770227"],"abstract_inverted_index":{"This":[0],"article":[1],"studies":[2],"multiagent":[3],"(convex":[4],"and":[5,42,72,178],"nonconvex)":[6],"optimization":[7],"over":[8],"static":[9],"digraphs.":[10],"We":[11],"propose":[12],"a":[13,83,164],"general":[14,165],"distributed":[15,155],"asynchronous":[16,166],"algorithmic":[17],"framework":[18],"whereby":[19],"1)":[20],"agents":[21],"can":[22,45,73],"update":[23],"their":[24,32,47],"local":[25,48],"variables":[26],"as":[27,29,122,124],"well":[28],"communicate":[30],"with":[31,157],"neighbors":[33],"at":[34,117],"any":[35,38,69],"time,":[36],"without":[37],"form":[39],"of":[40,103,148,174],"coordination;":[41],"2)":[43],"they":[44],"perform":[46],"computations":[49],"using":[50],"(possibly)":[51],"delayed,":[52],"out-of-sync":[53],"information":[54],"from":[55],"the":[56,65,92,101,125,146,153,172,175],"other":[57],"agents.":[58],"Delays":[59],"need":[60],"not":[61],"be":[62,75],"known":[63],"to":[64,98,108],"agent":[66],"or":[67],"obey":[68],"specific":[70],"profile,":[71],"also":[74],"time-varying":[76],"(but":[77],"bounded).":[78],"The":[79],"algorithm":[80,156,177],"builds":[81],"on":[82],"tracking":[84],"mechanism":[85],"that":[86,114],"is":[87,97,127,134,152],"robust":[88],"against":[89],"asynchrony":[90],"(in":[91],"above":[93],"sense),":[94],"whose":[95],"goal":[96],"estimate":[99],"locally":[100],"average":[102],"agents'":[104],"gradients.":[105],"When":[106],"applied":[107],"strongly":[109],"convex":[110],"functions,":[111],"we":[112],"prove":[113],"it":[115],"converges":[116],"an":[118],"R-linear":[119],"(geometric)":[120],"rate":[121,133,161],"long":[123],"step-size":[126],"sufficiently":[128],"small.":[129],"A":[130],"sublinear":[131],"convergence":[132,160],"proved,":[135],"when":[136],"nonconvex":[137],"problems":[138],"and/or":[139],"diminishing,":[140],"uncoordinated":[141],"step-sizes":[142],"are":[143],"considered.":[144],"To":[145],"best":[147],"our":[149,180],"knowledge,":[150],"this":[151],"first":[154],"provable":[158],"geometric":[159],"in":[162],"such":[163],"setting.":[167],"Preliminary":[168],"numerical":[169],"results":[170],"demonstrate":[171],"efficacy":[173],"proposed":[176],"validate":[179],"theoretical":[181],"findings.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}