{"id":"https://openalex.org/W2106901427","doi":"https://doi.org/10.1109/tac.2010.2091295","title":"Distributed Subgradient Methods for Convex Optimization Over Random Networks","display_name":"Distributed Subgradient Methods for Convex Optimization Over Random Networks","publication_year":2010,"publication_date":"2010-11-17","ids":{"openalex":"https://openalex.org/W2106901427","doi":"https://doi.org/10.1109/tac.2010.2091295","mag":"2106901427"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2091295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2091295","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/A5079438376","display_name":"Ilan Lobel","orcid":"https://orcid.org/0000-0002-5396-8117"},"institutions":[{"id":"https://openalex.org/I4210155590","display_name":"Management Sciences (United States)","ror":"https://ror.org/05shz5j84","country_code":"US","type":"company","lineage":["https://openalex.org/I4210155590"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ilan Lobel","raw_affiliation_strings":["Information, Operations and Management Sciences Department, Stern School of Business, New York University, New York, NY, USA","Inf., Oper. & Manage. Sci. Dept., New York Univ., New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Information, Operations and Management Sciences Department, Stern School of Business, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I57206974","https://openalex.org/I4210155590"]},{"raw_affiliation_string":"Inf., Oper. & Manage. Sci. Dept., New York Univ., New York, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067307504","display_name":"Asuman Ozdaglar","orcid":"https://orcid.org/0000-0002-1827-1285"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Asuman Ozdaglar","raw_affiliation_strings":["Laboratory of Information and Decision Systems, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology, Cambridge, MA, USA","Electr. Eng. & Comput. Sci. Dept., Lab. for Inf. & Decision Syst., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory of Information and Decision Systems, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Electr. Eng. & Comput. Sci. Dept., Lab. for Inf. & Decision Syst., Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079438376"],"corresponding_institution_ids":["https://openalex.org/I4210155590","https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":15.0744,"has_fulltext":false,"cited_by_count":367,"citation_normalized_percentile":{"value":0.99213439,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"56","issue":"6","first_page":"1291","last_page":"1306"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9894999861717224,"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":0.9876999855041504,"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/subgradient-method","display_name":"Subgradient method","score":0.9546698331832886},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7776767015457153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.633269190788269},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5884556770324707},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5698907375335693},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5539919137954712},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5030893683433533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5002937316894531},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.47647687792778015},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4396578371524811},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41919466853141785},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4101032018661499},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40116557478904724},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3308093249797821},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.15542390942573547}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9546698331832886},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7776767015457153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.633269190788269},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5884556770324707},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5698907375335693},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5539919137954712},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5030893683433533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5002937316894531},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.47647687792778015},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4396578371524811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41919466853141785},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4101032018661499},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40116557478904724},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3308093249797821},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.15542390942573547},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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.2010.2091295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2091295","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1547358136","https://openalex.org/W1572996156","https://openalex.org/W1583497301","https://openalex.org/W1603765807","https://openalex.org/W2015410655","https://openalex.org/W2037710455","https://openalex.org/W2044212084","https://openalex.org/W2101517602","https://openalex.org/W2107396783","https://openalex.org/W2112753256","https://openalex.org/W2114403255","https://openalex.org/W2114791779","https://openalex.org/W2115428923","https://openalex.org/W2120613449","https://openalex.org/W2122093006","https://openalex.org/W2122552472","https://openalex.org/W2140655807","https://openalex.org/W2145574455","https://openalex.org/W2154834860","https://openalex.org/W2158893758","https://openalex.org/W2159715570","https://openalex.org/W2165744313","https://openalex.org/W2172813797","https://openalex.org/W2542402085","https://openalex.org/W2611293703","https://openalex.org/W4240896209","https://openalex.org/W4247555059","https://openalex.org/W4296180618","https://openalex.org/W6729235489"],"related_works":["https://openalex.org/W1556217901","https://openalex.org/W4297153560","https://openalex.org/W2465405765","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W2140018151","https://openalex.org/W3088056528","https://openalex.org/W2811183536"],"abstract_inverted_index":{"We":[0,22],"consider":[1],"the":[2,7,13,20,36,62,77,80,101,104],"problem":[3],"of":[4,9,19,79],"cooperatively":[5],"minimizing":[6],"sum":[8],"convex":[10],"functions,":[11],"where":[12],"functions":[14,18],"represent":[15],"local":[16,31],"objective":[17],"agents.":[21,63],"assume":[23,90],"that":[24,53,72,91,103],"each":[25],"agent":[26],"has":[27],"information":[28,60],"about":[29,76],"his":[30],"function,":[32],"and":[33,109],"communicate":[34],"with":[35],"other":[37],"agents":[38,81],"over":[39,112],"a":[40,49,96],"time-varying":[41],"network":[42],"topology.":[43],"For":[44],"this":[45],"problem,":[46],"we":[47,89,118],"propose":[48],"distributed":[50,111],"subgradient":[51,126],"method":[52],"uses":[54],"averaging":[55],"algorithms":[56],"for":[57,124],"locally":[58],"sharing":[59],"among":[61],"In":[64],"contrast":[65],"to":[66,95],"previous":[67],"works":[68],"on":[69],"multi-agent":[70],"optimization":[71],"make":[73],"worst-case":[74],"assumptions":[75],"connectivity":[78],"(such":[82],"as":[83],"bounded":[84],"communication":[85],"intervals":[86],"between":[87],"nodes),":[88],"links":[92],"fail":[93],"according":[94],"given":[97],"stochastic":[98],"process.":[99],"Under":[100],"assumption":[102],"link":[105],"failures":[106],"are":[107],"independent":[108],"identically":[110],"time":[113],"(possibly":[114],"correlated":[115],"across":[116],"links),":[117],"provide":[119],"almost":[120],"sure":[121],"convergence":[122],"results":[123],"our":[125],"algorithm.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":28},{"year":2019,"cited_by_count":38},{"year":2018,"cited_by_count":42},{"year":2017,"cited_by_count":41},{"year":2016,"cited_by_count":39},{"year":2015,"cited_by_count":34},{"year":2014,"cited_by_count":25},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":12}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
