{"id":"https://openalex.org/W2569714389","doi":"https://doi.org/10.1109/tac.2017.2650563","title":"Stochastic Dual Averaging for Decentralized Online Optimization on Time-Varying Communication Graphs","display_name":"Stochastic Dual Averaging for Decentralized Online Optimization on Time-Varying Communication Graphs","publication_year":2017,"publication_date":"2017-01-09","ids":{"openalex":"https://openalex.org/W2569714389","doi":"https://doi.org/10.1109/tac.2017.2650563","mag":"2569714389"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2650563","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2650563","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/A5100734097","display_name":"Soomin Lee","orcid":"https://orcid.org/0000-0003-3959-6473"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soomin Lee","raw_affiliation_strings":["ISyE, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110629459","display_name":"Angelia Nedi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Angelia Nedic","raw_affiliation_strings":["School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044844161","display_name":"Maxim Raginsky","orcid":"https://orcid.org/0000-0002-5586-9219"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maxim Raginsky","raw_affiliation_strings":["Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0038,"has_fulltext":false,"cited_by_count":95,"citation_normalized_percentile":{"value":0.96960687,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"62","issue":"12","first_page":"6407","last_page":"6414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9988999962806702,"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/T12288","display_name":"Optimization and Search Problems","score":0.983299970626831,"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/sublinear-function","display_name":"Sublinear function","score":0.7706114053726196},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.637354850769043},{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.5885847806930542},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5335749983787537},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5185271501541138},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4994170665740967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45903801918029785},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4560662508010864},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.45226752758026123},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4432012438774109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43023526668548584},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3378456234931946},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3333680033683777},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18701347708702087},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16205951571464539},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08722755312919617},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08036494255065918}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.7706114053726196},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.637354850769043},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.5885847806930542},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5335749983787537},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5185271501541138},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4994170665740967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45903801918029785},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4560662508010864},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.45226752758026123},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4432012438774109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43023526668548584},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3378456234931946},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3333680033683777},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18701347708702087},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16205951571464539},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08722755312919617},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08036494255065918},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2017.2650563","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2650563","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":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.75}],"awards":[{"id":"https://openalex.org/G750930579","display_name":null,"funder_award_id":"CCF 11-11342","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8824011968","display_name":null,"funder_award_id":"N00014-12-1-0998","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1505731132","https://openalex.org/W1547358136","https://openalex.org/W1603765807","https://openalex.org/W1788292158","https://openalex.org/W1876349971","https://openalex.org/W1969004480","https://openalex.org/W1972768959","https://openalex.org/W2002356046","https://openalex.org/W2020887976","https://openalex.org/W2039404515","https://openalex.org/W2049934117","https://openalex.org/W2063403497","https://openalex.org/W2107664305","https://openalex.org/W2110100895","https://openalex.org/W2111857756","https://openalex.org/W2135674292","https://openalex.org/W2136835582","https://openalex.org/W2137435346","https://openalex.org/W2148087609","https://openalex.org/W2154834860","https://openalex.org/W2155356457","https://openalex.org/W2162195727","https://openalex.org/W2167919134","https://openalex.org/W2169713291","https://openalex.org/W2402489532","https://openalex.org/W2950929549","https://openalex.org/W2952931788","https://openalex.org/W3101665129","https://openalex.org/W3105993255","https://openalex.org/W3143860396","https://openalex.org/W4301435544"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2149119057","https://openalex.org/W2985979428","https://openalex.org/W2510140549","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"We":[0,62,125],"consider":[1],"a":[2,9,18,21,30,52],"decentralized":[3,35],"online":[4],"convex":[5,111],"optimization":[6],"problem":[7],"in":[8,58,82],"network":[10],"of":[11,23,41,54,75,101,119,130],"agents,":[12],"where":[13,47],"each":[14,48],"agent":[15,49],"controls":[16],"only":[17,50],"coordinate":[19,53],"(or":[20],"part)":[22],"the":[24,55,59,65,78,85,98,102,106,117,120,131],"global":[25],"decision":[26],"vector.":[27],"For":[28],"such":[29],"problem,":[31],"we":[32],"propose":[33],"two":[34],"stochastic":[36],"variants":[37],"(SODA-C":[38],"and":[39,105,116],"SODA-PS)":[40],"Nesterov's":[42],"dual":[43],"averaging":[44],"method":[45],"(DA),":[46],"uses":[51],"noise-corrupted":[56],"gradient":[57],"dual-averaging":[60],"step.":[61],"show":[63],"that":[64],"expected":[66],"regret":[67,93],"bounds":[68],"for":[69],"both":[70],"algorithms":[71,133],"have":[72],"sublinear":[73,92],"growth":[74],"O(\u221aT),":[76],"with":[77,113],"time":[79],"horizon":[80],"T,":[81],"scenarios":[83],"when":[84,97],"underlying":[86],"communication":[87],"topology":[88],"is":[89,100,123],"time-varying.":[90],"The":[91],"can":[94],"be":[95],"obtained":[96],"stepsize":[99],"form":[103],"1/\u221at":[104],"objective":[107],"functions":[108,112],"are":[109],"Lipschitz-continuous":[110],"Lipschitz":[114],"gradients,":[115],"variance":[118],"noisy":[121],"gradients":[122],"bounded.":[124],"also":[126],"provide":[127],"simulation":[128],"results":[129],"proposed":[132],"on":[134],"sensor":[135],"networks":[136],"to":[137],"complement":[138],"our":[139],"theoretical":[140],"analysis.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}