{"id":"https://openalex.org/W4413978341","doi":"https://doi.org/10.1109/tac.2025.3606298","title":"Distributed Fractional Bayesian Learning for Adaptive Optimization","display_name":"Distributed Fractional Bayesian Learning for Adaptive Optimization","publication_year":2025,"publication_date":"2025-09-04","ids":{"openalex":"https://openalex.org/W4413978341","doi":"https://doi.org/10.1109/tac.2025.3606298"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3606298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3606298","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/A5074545662","display_name":"Yaqun Yang","orcid":"https://orcid.org/0009-0007-3738-6065"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqun Yang","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0009-0007-3738-6065","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jinlong Lei","orcid":"https://orcid.org/0000-0003-1581-8932"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinlong Lei","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-1581-8932","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["School of Automation, Southeast University, Nanjing, China","school of Automation, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"School of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"school of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110011173","display_name":"Yiguang Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiguang Hong","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-9505-8739","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.396,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85751741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"71","issue":"2","first_page":"1099","last_page":"1113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.958899974822998,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.958899974822998,"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"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9480999708175659,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9465000033378601,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6290768384933472},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5676583647727966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4505234658718109},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.43488946557044983},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3993666172027588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25764864683151245}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6290768384933472},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5676583647727966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4505234658718109},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43488946557044983},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3993666172027588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25764864683151245}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3606298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3606298","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/G2424899740","display_name":null,"funder_award_id":"72271187","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2843151570","display_name":null,"funder_award_id":"62325304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5977796052","display_name":null,"funder_award_id":"62173250","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G62426012","display_name":null,"funder_award_id":"U24A20279","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8967878662","display_name":null,"funder_award_id":"U22B2046","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W179936014","https://openalex.org/W186151502","https://openalex.org/W1968662484","https://openalex.org/W2022948311","https://openalex.org/W2044212084","https://openalex.org/W2074796812","https://openalex.org/W2082585576","https://openalex.org/W2114791779","https://openalex.org/W2123475992","https://openalex.org/W2147153427","https://openalex.org/W2169826194","https://openalex.org/W2206835661","https://openalex.org/W2243651912","https://openalex.org/W2553399731","https://openalex.org/W2751998381","https://openalex.org/W2946038967","https://openalex.org/W2955008915","https://openalex.org/W2962751862","https://openalex.org/W2963118811","https://openalex.org/W2963333308","https://openalex.org/W2963730255","https://openalex.org/W2963881501","https://openalex.org/W2963982097","https://openalex.org/W2964075583","https://openalex.org/W2964191999","https://openalex.org/W2964257141","https://openalex.org/W2999684314","https://openalex.org/W3022064003","https://openalex.org/W3022273187","https://openalex.org/W3035847440","https://openalex.org/W3048663310","https://openalex.org/W3142570770","https://openalex.org/W3159797474","https://openalex.org/W3203106111","https://openalex.org/W3209358401","https://openalex.org/W3214324039","https://openalex.org/W4213445359","https://openalex.org/W4250589301","https://openalex.org/W4317496719","https://openalex.org/W4376456956","https://openalex.org/W4387245227","https://openalex.org/W4388956033","https://openalex.org/W4392700306","https://openalex.org/W4406278303","https://openalex.org/W4410737457","https://openalex.org/W4413978341"],"related_works":["https://openalex.org/W2961085424","https://openalex.org/W4306674287","https://openalex.org/W4387369504","https://openalex.org/W4394896187","https://openalex.org/W3170094116","https://openalex.org/W4386462264","https://openalex.org/W3107602296","https://openalex.org/W4364306694","https://openalex.org/W4312192474","https://openalex.org/W4283697347"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,20,39,48,78,145],"distributed":[4,66,80,84,102],"adaptive":[5],"optimization":[6,67],"problem,":[7],"where":[8],"all":[9,120],"agents":[10],"only":[11],"have":[12],"access":[13],"to":[14,27,57,94,129,158],"their":[15],"local":[16],"cost":[17],"functions":[18],"with":[19],"common":[21],"unknown":[22,99],"parameter,":[23,100,140],"whereas":[24],"they":[25],"mean":[26],"collaboratively":[28],"estimate":[29],"the":[30,35,72,92,96,107,110,130,134,138,150,160],"true":[31,131,139],"parameter":[32,63,132],"and":[33,69,101,123,133],"find":[34,71],"optimal":[36,73,111,135],"solution":[37,136],"over":[38],"connected":[40],"network.":[41],"A":[42],"general":[43],"mathematical":[44],"framework":[45],"for":[46,61,105,149],"such":[47],"problem":[49],"has":[50],"not":[51],"been":[52],"studied":[53],"yet.":[54],"We":[55,142],"aim":[56],"provide":[58],"valuable":[59],"insights":[60],"addressing":[62],"uncertainty":[64],"in":[65],"problems":[68],"simultaneously":[70],"solution.":[74,112],"Thus,":[75],"we":[76,117],"propose":[77],"novel":[79],"scheme,":[81],"which":[82],"utilizes":[83],"fractional":[85],"Bayesian":[86],"learning":[87],"through":[88],"weighted":[89],"averaging":[90],"on":[91],"log-beliefs":[93],"update":[95],"beliefs":[97,122],"of":[98,109],"gradient":[103],"descent":[104],"renewing":[106],"estimation":[108],"Then":[113],"under":[114,137],"suitable":[115],"assumptions,":[116],"prove":[118],"that":[119],"agents'":[121],"decision":[124],"variables":[125],"converge":[126],"almost":[127],"surely":[128],"respectively.":[141],"further":[143],"establish":[144],"sublinear":[146],"convergence":[147],"rate":[148],"belief":[151],"sequence.":[152],"Finally,":[153],"numerical":[154],"experiments":[155],"are":[156],"implemented":[157],"corroborate":[159],"theoretical":[161],"analysis.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-01T03:34:12.195049","created_date":"2025-10-10T00:00:00"}