{"id":"https://openalex.org/W2952931788","doi":"https://doi.org/10.1109/cdc.2013.6760975","title":"Distributed optimization over time-varying directed graphs","display_name":"Distributed optimization over time-varying directed graphs","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2952931788","doi":"https://doi.org/10.1109/cdc.2013.6760975","mag":"2952931788"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760975","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760975","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"preprint","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":["The authors are with the Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The authors are with the Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005863931","display_name":"Alex Olshevsky","orcid":"https://orcid.org/0000-0002-5852-9789"},"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":"Alex Olshevsky","raw_affiliation_strings":["The authors are with the Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The authors are with the Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL","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":12.4498,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98836733,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"6855","last_page":"6860"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991999864578247,"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":0.9958999752998352,"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":0.9920076131820679},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.7005556225776672},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5807393789291382},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5702722072601318},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5017874240875244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49511709809303284},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49159321188926697},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4866386353969574},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48097267746925354},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.477022647857666},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4733681380748749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4458172023296356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2980083227157593}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9920076131820679},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7005556225776672},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5807393789291382},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5702722072601318},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5017874240875244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49511709809303284},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49159321188926697},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4866386353969574},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48097267746925354},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.477022647857666},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4733681380748749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4458172023296356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2980083227157593},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760975","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760975","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W330173850","https://openalex.org/W1568288633","https://openalex.org/W1992070920","https://openalex.org/W1997775689","https://openalex.org/W2029080014","https://openalex.org/W2044212084","https://openalex.org/W2063403497","https://openalex.org/W2066332749","https://openalex.org/W2093777540","https://openalex.org/W2101385798","https://openalex.org/W2106901427","https://openalex.org/W2110100895","https://openalex.org/W2117412539","https://openalex.org/W2125668987","https://openalex.org/W2130263842","https://openalex.org/W2130442323","https://openalex.org/W2130758224","https://openalex.org/W2132650954","https://openalex.org/W2135674292","https://openalex.org/W2136517470","https://openalex.org/W2140655807","https://openalex.org/W2148087609","https://openalex.org/W2152265590","https://openalex.org/W2154834860","https://openalex.org/W2162594647","https://openalex.org/W2165744313","https://openalex.org/W2169167445","https://openalex.org/W2952323553","https://openalex.org/W3101665129","https://openalex.org/W4298252549"],"related_works":["https://openalex.org/W2465405765","https://openalex.org/W4297153560","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W3084689723","https://openalex.org/W2140018151","https://openalex.org/W3161275408","https://openalex.org/W3088056528","https://openalex.org/W2811183536","https://openalex.org/W4312559935"],"abstract_inverted_index":{"We":[0],"consider":[1],"distributed":[2],"optimization":[3],"by":[4,34],"a":[5,35,58,73,105],"collection":[6],"of":[7,25,38,76,84,88,107,136],"nodes,":[8,121],"each":[9],"having":[10],"access":[11],"to":[12,21,68,94],"its":[13,54],"own":[14],"convex":[15],"function,":[16],"whose":[17],"collective":[18],"goal":[19],"is":[20,42],"minimize":[22],"the":[23,26,62,86,91,100,112,116,120,122,130,134,139],"sum":[24],"functions.":[27],"The":[28,79],"communications":[29],"between":[30],"nodes":[31],"are":[32],"described":[33],"time-varying":[36],"sequence":[37,93],"directed":[39],"graphs,":[40],"which":[41,64],"uniformly":[43],"strongly":[44],"connected.":[45],"For":[46],"such":[47],"communications,":[48],"assuming":[49],"that":[50,99],"every":[51,66],"node":[52,67],"knows":[53],"out-degree,":[55],"we":[56],"develop":[57],"broadcast-based":[59],"algorithm,":[60],"termed":[61],"subgradient-push,":[63],"steers":[65],"an":[69],"optimal":[70],"value":[71],"under":[72],"standard":[74],"assumption":[75],"subgradient":[77,123],"boundedness.":[78],"subgradient-push":[80,101],"requires":[81],"no":[82],"knowledge":[83],"either":[85],"number":[87],"agents":[89],"or":[90],"graph":[92],"implement.":[95],"Our":[96],"analysis":[97],"shows":[98],"algorithm":[102],"converges":[103],"at":[104,119],"rate":[106],"O":[108],"(ln":[109],"t/\u221at),":[110],"where":[111],"constant":[113],"depends":[114],"on":[115,128],"initial":[117],"values":[118],"norms,":[124],"and,":[125],"more":[126],"interestingly,":[127],"both":[129],"consensus":[131],"speed":[132],"and":[133],"imbalances":[135],"influence":[137],"among":[138],"nodes.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}