{"id":"https://openalex.org/W4406012666","doi":"https://doi.org/10.1109/tac.2024.3525182","title":"Distributed Stochastic Optimization With Unbounded Subgradients Over Randomly Time-Varying Networks","display_name":"Distributed Stochastic Optimization With Unbounded Subgradients Over Randomly Time-Varying Networks","publication_year":2025,"publication_date":"2025-01-02","ids":{"openalex":"https://openalex.org/W4406012666","doi":"https://doi.org/10.1109/tac.2024.3525182"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3525182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3525182","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/A5101820343","display_name":"Yan Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Chen","raw_affiliation_strings":["Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047874759","display_name":"\u0410lexander L. Fradkov","orcid":"https://orcid.org/0000-0002-5633-0944"},"institutions":[{"id":"https://openalex.org/I4210142628","display_name":"Institute of Problems of Mechanical Engineering","ror":"https://ror.org/047pt5178","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210142628","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander L. Fradkov","raw_affiliation_strings":["Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS), Saint Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS), Saint Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071902123","display_name":"Keli Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keli Fu","raw_affiliation_strings":["Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027884973","display_name":"Xiaozheng Fu","orcid":"https://orcid.org/0000-0003-1875-2203"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaozheng Fu","raw_affiliation_strings":["Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058434154","display_name":"Tao Li","orcid":"https://orcid.org/0000-0001-6173-7987"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Li","raw_affiliation_strings":["Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical Sciences, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101820343"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":4.699,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.93460748,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"70","issue":"6","first_page":"4008","last_page":"4015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9843000173568726,"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":0.9843000173568726,"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":0.9765999913215637,"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":0.9733999967575073,"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/subgradient-method","display_name":"Subgradient method","score":0.8491683006286621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6077609062194824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5535253286361694},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4981963634490967},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48673322796821594},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41153162717819214},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33469390869140625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32424649596214294}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8491683006286621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6077609062194824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5535253286361694},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4981963634490967},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48673322796821594},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41153162717819214},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33469390869140625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32424649596214294},{"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/tac.2024.3525182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3525182","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":[{"id":"https://openalex.org/G1956417819","display_name":null,"funder_award_id":"23-41-00060","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G4498123279","display_name":null,"funder_award_id":"62261136550","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W2044212084","https://openalex.org/W2073734023","https://openalex.org/W2087771945","https://openalex.org/W2093356327","https://openalex.org/W2108306501","https://openalex.org/W2123705108","https://openalex.org/W2129122308","https://openalex.org/W2162594647","https://openalex.org/W2215067230","https://openalex.org/W2537046506","https://openalex.org/W2593132324","https://openalex.org/W2731574071","https://openalex.org/W2744552718","https://openalex.org/W2808584793","https://openalex.org/W2904224452","https://openalex.org/W2913664433","https://openalex.org/W2942618255","https://openalex.org/W2962744561","https://openalex.org/W2963099310","https://openalex.org/W2963372719","https://openalex.org/W2963433607","https://openalex.org/W2963748878","https://openalex.org/W2964075583","https://openalex.org/W2970404488","https://openalex.org/W3011252985","https://openalex.org/W3017285694","https://openalex.org/W4240386814","https://openalex.org/W4406012666","https://openalex.org/W6634429821","https://openalex.org/W6685044387","https://openalex.org/W6774804355"],"related_works":["https://openalex.org/W4238880966","https://openalex.org/W4297153560","https://openalex.org/W2465405765","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W2140018151","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W2811183536","https://openalex.org/W3088056528"],"abstract_inverted_index":{"Motivated":[0],"by":[1,14,30],"distributed":[2,11,54],"statistical":[3],"learning":[4],"over":[5],"uncertain":[6],"communication":[7,49],"networks,":[8],"we":[9,91],"study":[10],"stochastic":[12,79],"optimization":[13,56],"networked":[15],"nodes":[16],"to":[17,128],"cooperatively":[18],"minimize":[19],"a":[20,31,41,48],"sum":[21],"of":[22,33,61,76,104],"convex":[23,82],"cost":[24,63],"functions.":[25],"The":[26],"network":[27],"is":[28,106],"modeled":[29],"sequence":[32,103],"time-varying":[34],"random":[35],"digraphs":[36,105],"with":[37,58],"each":[38,45,74],"node":[39],"representing":[40,47],"local":[42,62,96],"optimizer":[43],"and":[44,67,87,101,109],"edge":[46],"link.":[50],"We":[51],"consider":[52],"the":[53,95,102,129],"subgradient":[55,97],"algorithm":[57,116],"noisy":[59],"measurements":[60],"functions'":[64],"subgradients,":[65],"additive":[66],"multiplicative":[68],"noises":[69],"among":[70],"information":[71],"exchanging":[72],"between":[73],"pair":[75],"nodes.":[77],"By":[78],"Lyapunov":[80],"method,":[81],"analysis,":[83],"algebraic":[84],"graph":[85],"theory":[86],"martingale":[88],"convergence":[89],"theory,":[90],"prove":[92],"that":[93,123],"if":[94],"functions":[98],"grow":[99],"linearly":[100],"conditionally":[107,111],"balanced":[108],"uniformly":[110],"jointly":[112],"connected,":[113],"then":[114],"proper":[115],"step":[117],"sizes":[118],"can":[119],"be":[120],"designed":[121],"so":[122],"all":[124],"nodes'":[125],"states":[126],"converge":[127],"global":[130],"optimal":[131],"solution":[132],"almost":[133],"surely.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
