{"id":"https://openalex.org/W1931986933","doi":"https://doi.org/10.1109/acc.2015.7172037","title":"Decentralized online optimization with global objectives and local communication","display_name":"Decentralized online optimization with global objectives and local communication","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1931986933","doi":"https://doi.org/10.1109/acc.2015.7172037","mag":"1931986933"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7172037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5110629459","display_name":"Angelia Nedi\u0107","orcid":null},"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":"Angelia Nedic","raw_affiliation_strings":["Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","Department of Industrial & Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, 61801 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial & Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100734097","display_name":"Soomin Lee","orcid":"https://orcid.org/0000-0003-3959-6473"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soomin Lee","raw_affiliation_strings":["Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA","Department of Mechanical Engineering and Materials Science, Duke University, Durham,#N#NC\u00a027708,#N#USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Department of Mechanical Engineering and Materials Science, Duke University, Durham,#N#NC\u00a027708,#N#USA","institution_ids":["https://openalex.org/I170897317"]}]},{"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":["Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","Dept. of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4497","last_page":"4503"},"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/T11031","display_name":"Game Theory and Applications","score":0.9958999752998352,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.7831127643585205},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.7306452989578247},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6838280558586121},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6071366667747498},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5764918923377991},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5324740409851074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49021559953689575},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4759112000465393},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4445897340774536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44020605087280273},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4249143600463867},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23298367857933044},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08356726169586182}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.7831127643585205},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.7306452989578247},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6838280558586121},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6071366667747498},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5764918923377991},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5324740409851074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49021559953689575},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4759112000465393},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4445897340774536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44020605087280273},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4249143600463867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23298367857933044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08356726169586182},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7172037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.75,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1505731132","https://openalex.org/W1547358136","https://openalex.org/W1588593629","https://openalex.org/W1600293573","https://openalex.org/W1603765807","https://openalex.org/W1788292158","https://openalex.org/W1876349971","https://openalex.org/W1964927113","https://openalex.org/W1972768959","https://openalex.org/W2002356046","https://openalex.org/W2039404515","https://openalex.org/W2044212084","https://openalex.org/W2046387702","https://openalex.org/W2063403497","https://openalex.org/W2066332749","https://openalex.org/W2096199223","https://openalex.org/W2105837036","https://openalex.org/W2111857756","https://openalex.org/W2128927076","https://openalex.org/W2129122308","https://openalex.org/W2130758224","https://openalex.org/W2136835582","https://openalex.org/W2137435346","https://openalex.org/W2142682063","https://openalex.org/W2148087609","https://openalex.org/W2152637881","https://openalex.org/W2154834860","https://openalex.org/W2155356457","https://openalex.org/W2160785244","https://openalex.org/W2162594647","https://openalex.org/W2164642931","https://openalex.org/W2167919134","https://openalex.org/W2169713291","https://openalex.org/W2952931788","https://openalex.org/W2963156126","https://openalex.org/W3017285694","https://openalex.org/W3101665129","https://openalex.org/W3143860396","https://openalex.org/W4301435544","https://openalex.org/W6618955948","https://openalex.org/W7061399666"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2101991911","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W3039767703","https://openalex.org/W2149119057","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"We":[0,71,106],"consider":[1],"a":[2,9,20,23,32,36,57],"decentralized":[3,37],"online":[4],"convex":[5,101],"optimization":[6],"problem":[7],"in":[8],"static":[10],"undirected":[11],"network":[12],"of":[13,25,39,59,79,91,119],"agents,":[14],"where":[15],"each":[16],"agent":[17],"controls":[18],"only":[19],"coordinate":[21],"(or":[22],"part)":[24],"the":[26,48,51,54,60,74,83,88,92,96,112,116,120],"global":[27],"decision":[28],"vector.":[29],"For":[30],"such":[31],"problem,":[33],"we":[34],"propose":[35],"variant":[38,118],"Nesterov's":[40],"primal-dual":[41],"algorithm":[42],"with":[43,82,103],"dual":[44],"averaging.":[45],"To":[46],"mitigate":[47],"disagreements":[49],"on":[50,111],"primal-vector":[52],"updates,":[53],"agents":[55],"implement":[56],"generalization":[58],"local":[61],"information-exchange":[62],"dynamics":[63],"recently":[64],"proposed":[65],"by":[66],"Li":[67],"and":[68,95],"Marden":[69],"[1].":[70],"show":[72],"that":[73],"regret":[75,114],"has":[76],"sublinear":[77],"growth":[78],"O":[80],"(\u221aT)":[81],"time":[84],"horizon":[85],"T":[86],"when":[87],"stepsize":[89],"is":[90],"form":[93],"1/\u221at":[94],"objective":[97],"functions":[98,102],"are":[99],"Lipschitz-continuous":[100],"Lipschitz":[104],"gradients.":[105],"prove":[107],"an":[108],"analogous":[109],"bound":[110],"expected":[113],"for":[115],"stochastic":[117],"algorithm.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}