{"id":"https://openalex.org/W2969507060","doi":"https://doi.org/10.1137/18m119046x","title":"Distributed Subgradient-Free Stochastic Optimization Algorithm for Nonsmooth Convex Functions over Time-Varying Networks","display_name":"Distributed Subgradient-Free Stochastic Optimization Algorithm for Nonsmooth Convex Functions over Time-Varying Networks","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969507060","doi":"https://doi.org/10.1137/18m119046x","mag":"2969507060"},"language":"en","primary_location":{"id":"doi:10.1137/18m119046x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m119046x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5100443385","display_name":"Yinghui Wang","orcid":"https://orcid.org/0000-0001-7771-8019"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yinghui Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101465051","display_name":"Wenxiao Zhao","orcid":"https://orcid.org/0000-0002-0371-5664"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenxiao Zhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100359415","display_name":"Yiguang Hong","orcid":"https://orcid.org/0000-0001-9505-8739"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yiguang Hong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101942306","display_name":"Mohsen Zamani","orcid":"https://orcid.org/0000-0003-2972-7417"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohsen Zamani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6205,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.9530563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"57","issue":"4","first_page":"2821","last_page":"2842"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9889000058174133,"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":0.9720461368560791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7085033655166626},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6677486300468445},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6124126315116882},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5669616460800171},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5518825054168701},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.510817289352417},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.46166756749153137},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45932504534721375},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4513489603996277},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4145592749118805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2597786784172058},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.07849875092506409}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9720461368560791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7085033655166626},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6677486300468445},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6124126315116882},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5669616460800171},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5518825054168701},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.510817289352417},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.46166756749153137},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45932504534721375},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4513489603996277},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4145592749118805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2597786784172058},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07849875092506409},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m119046x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m119046x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:uon:46430","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1462299","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1772835793","display_name":null,"funder_award_id":"61573345","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5319174282","display_name":"\u57fa\u4e8e\u51b3\u7b56\u7684\u590d\u6742\u975e\u7ebf\u6027\u7cfb\u7edf\u63a7\u5236","funder_award_id":"61733018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5983507987","display_name":null,"funder_award_id":"2016YFB0901900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7893519798","display_name":null,"funder_award_id":"61573344","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8280473804","display_name":null,"funder_award_id":"61822312","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1972393809","https://openalex.org/W2009797711","https://openalex.org/W2044212084","https://openalex.org/W2066332749","https://openalex.org/W2067923842","https://openalex.org/W2106510159","https://openalex.org/W2114791779","https://openalex.org/W2114973703","https://openalex.org/W2123705108","https://openalex.org/W2129122308","https://openalex.org/W2132667699","https://openalex.org/W2148087609","https://openalex.org/W2151685478","https://openalex.org/W2171074980","https://openalex.org/W2171830216","https://openalex.org/W2248806424","https://openalex.org/W2273484141","https://openalex.org/W2539372614","https://openalex.org/W2772692493","https://openalex.org/W2782236797","https://openalex.org/W2962782955","https://openalex.org/W2963470657","https://openalex.org/W2963550797","https://openalex.org/W4205947740"],"related_works":["https://openalex.org/W4297153560","https://openalex.org/W2465405765","https://openalex.org/W2012437081","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W2140018151","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W4221167213","https://openalex.org/W2920841750"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,59,74,95,109],"consider":[4],"a":[5,61],"distributed":[6,38,62],"stochastic":[7,31,44],"optimization":[8],"problem":[9],"without":[10],"gradient/subgradient":[11],"information":[12],"for":[13,36,65],"local":[14,20,47,71],"objective":[15,48],"functions":[16,24,49],"and":[17,28,33,50,81,94],"subject":[18],"to":[19,46,113],"convex":[21],"constraints.":[22],"Objective":[23],"may":[25],"be":[26,85],"nonsmooth":[27],"observed":[29],"with":[30,70,87],"noises,":[32],"the":[34,37,56,67,77,91,97,101,115,118],"network":[35],"design":[39],"is":[40],"time-varying.":[41],"By":[42],"adding":[43],"dithers":[45],"constructing":[51],"randomized":[52],"differences":[53],"motivated":[54],"by":[55],"Kiefer--Wolfowitz":[57],"algorithm,":[58],"propose":[60],"subgradient-free":[63],"algorithm":[64],"finding":[66],"global":[68,82],"minimizer":[69],"observations.":[72],"Moreover,":[73],"prove":[75],"that":[76],"consensus":[78],"of":[79,100,104,117],"estimates":[80,105],"minimization":[83],"can":[84],"achieved":[86],"probability":[88],"one":[89],"over":[90],"time-varying":[92],"network,":[93],"obtain":[96],"convergence":[98],"rate":[99],"mean":[102],"average":[103],"as":[106],"well.":[107],"Finally,":[108],"give":[110],"numerical":[111],"examples":[112],"illustrate":[114],"performance":[116],"proposed":[119],"algorithms.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}