{"id":"https://openalex.org/W2115733245","doi":"https://doi.org/10.1109/acc.2015.7172262","title":"Nonasymptotic convergence rates for cooperative learning over time-varying directed graphs","display_name":"Nonasymptotic convergence rates for cooperative learning over time-varying directed graphs","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2115733245","doi":"https://doi.org/10.1109/acc.2015.7172262","mag":"2115733245"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7172262","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172262","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1410.1977","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Angelia Nedic","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":["Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Alex Olshevsky","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":"Alex Olshevsky","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cesar A. Uribe","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":"Cesar A. Uribe","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, 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":8.7664,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.97924827,"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":"5884","last_page":"5889"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9986000061035156,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9969000220298767,"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/directed-graph","display_name":"Directed graph","score":0.649399995803833},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6101999878883362},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5737000107765198},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4140999913215637},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41179999709129333},{"id":"https://openalex.org/keywords/bayesian-network","display_name":"Bayesian network","score":0.37950000166893005},{"id":"https://openalex.org/keywords/learning-rule","display_name":"Learning rule","score":0.36239999532699585},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.357699990272522}],"concepts":[{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.649399995803833},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6101999878883362},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5737000107765198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4869000017642975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.415800005197525},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4140999913215637},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41179999709129333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39660000801086426},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.36239999532699585},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.35190001130104065},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32580000162124634},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.2833999991416931},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C10431821","wikidata":"https://www.wikidata.org/wiki/Q6510174","display_name":"Learning effect","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C40506919","wikidata":"https://www.wikidata.org/wiki/Q7452469","display_name":"Sequence learning","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2015.7172262","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172262","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"},{"id":"pmh:oai:arXiv.org:1410.1977","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.1977","pdf_url":"https://arxiv.org/pdf/1410.1977","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1410.1977","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.1977","pdf_url":"https://arxiv.org/pdf/1410.1977","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1558006055","https://openalex.org/W1559496957","https://openalex.org/W1978009662","https://openalex.org/W1984661256","https://openalex.org/W2015408690","https://openalex.org/W2058360748","https://openalex.org/W2087204158","https://openalex.org/W2100169223","https://openalex.org/W2106622011","https://openalex.org/W2117208220","https://openalex.org/W2124770452","https://openalex.org/W2125035738","https://openalex.org/W2125668987","https://openalex.org/W2137435346","https://openalex.org/W2140655807","https://openalex.org/W2147153427","https://openalex.org/W2152480638","https://openalex.org/W2165744313","https://openalex.org/W2167919134","https://openalex.org/W2169826194","https://openalex.org/W2886383207","https://openalex.org/W2989661724","https://openalex.org/W3022273187","https://openalex.org/W6629428269"],"related_works":[],"abstract_inverted_index":{"We":[0,93],"study":[1],"the":[2,40,61,103,110,119,139],"problem":[3],"of":[4,10,56,64,89,105,121],"cooperative":[5],"learning":[6,75,97,140],"with":[7,22,49,84],"a":[8,19,33,85,132],"network":[9],"agents":[11,14,47,101],"where":[12],"some":[13],"repeatedly":[15],"access":[16],"information":[17],"about":[18],"random":[20],"variable":[21],"unknown":[23,54],"distribution.":[24],"The":[25,46],"group":[26],"objective":[27],"is":[28,124],"to":[29,102],"globally":[30],"agree":[31],"on":[32],"joint":[34],"hypothesis":[35],"(distribution)":[36],"that":[37,95],"best":[38,108],"describes":[39],"observed":[41],"data":[42,111],"at":[43,81,113],"all":[44,100,114],"nodes.":[45],"interact":[48],"their":[50],"neighbors":[51],"in":[52],"an":[53],"sequence":[55,120],"time-varying":[57],"directed":[58],"graphs.":[59],"Following":[60],"pioneering":[62],"work":[63],"Jadbabaie,":[65],"Molavi,":[66],"Sandroni,":[67],"and":[68,70],"Tahbaz-Salehi":[69],"others,":[71],"we":[72],"propose":[73],"local":[74,86],"dynamics":[76,98],"which":[77,107],"combine":[78],"Bayesian":[79],"updates":[80],"each":[82],"node":[83],"aggregation":[87],"rule":[88],"private":[90],"agent":[91],"signals.":[92],"show":[94],"these":[96],"drive":[99],"set":[104],"hypotheses":[106],"explain":[109],"collected":[112],"nodes":[115],"as":[116,118],"long":[117],"interconnection":[122],"graphs":[123],"uniformly":[125],"strongly":[126],"connected.":[127],"Our":[128],"main":[129],"result":[130],"establishes":[131],"non-asymptotic,":[133],"explicit,":[134],"geometric":[135],"convergence":[136],"rate":[137],"for":[138],"dynamic.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}