{"id":"https://openalex.org/W4414404657","doi":"https://doi.org/10.1109/tcyb.2025.3606528","title":"Federated Learning Adaptive Dynamic Programming for Massive Multiagent Mean-Field Games-Based Optimal Consensus","display_name":"Federated Learning Adaptive Dynamic Programming for Massive Multiagent Mean-Field Games-Based Optimal Consensus","publication_year":2025,"publication_date":"2025-09-22","ids":{"openalex":"https://openalex.org/W4414404657","doi":"https://doi.org/10.1109/tcyb.2025.3606528","pmid":"https://pubmed.ncbi.nlm.nih.gov/40982503"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3606528","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3606528","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5050013410","display_name":"Mingduo Lin","orcid":"https://orcid.org/0000-0002-7456-2183"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingduo Lin","raw_affiliation_strings":["School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-7456-2183","affiliations":[{"raw_affiliation_string":"School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Guoling Yuan","orcid":"https://orcid.org/0009-0007-9670-8757"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoling Yuan","raw_affiliation_strings":["School of Systems Science, Beijing Normal University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0007-9670-8757","affiliations":[{"raw_affiliation_string":"School of Systems Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-3715-4778","affiliations":[{"raw_affiliation_string":"School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6561,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91622207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"56","issue":"2","first_page":"915","last_page":"926"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9829999804496765,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9829999804496765,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9657999873161316,"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/convergence","display_name":"Convergence (economics)","score":0.6255999803543091},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5860999822616577},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.5519000291824341},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5070000290870667},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4659999907016754},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4205999970436096},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.414900004863739},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41100001335144043},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.40059998631477356}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7766000032424927},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5860999822616577},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.5519000291824341},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5070000290870667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48590001463890076},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4659999907016754},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4205999970436096},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.414900004863739},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41100001335144043},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.40059998631477356},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.38960000872612},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.38019999861717224},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.3296999931335449},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.3296000063419342},{"id":"https://openalex.org/C2780609101","wikidata":"https://www.wikidata.org/wiki/Q17156588","display_name":"Resource management (computing)","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.30489999055862427},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.2662000060081482},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.2587999999523163},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3606528","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3606528","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:40982503","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40982503","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1186782560","display_name":null,"funder_award_id":"JCYJ20230807093513027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8816108514","display_name":null,"funder_award_id":"62073085","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1580561995","https://openalex.org/W1983321045","https://openalex.org/W2038686546","https://openalex.org/W2076207470","https://openalex.org/W2097569048","https://openalex.org/W2108383324","https://openalex.org/W2152161277","https://openalex.org/W2299109138","https://openalex.org/W2320262435","https://openalex.org/W2342813089","https://openalex.org/W2570494446","https://openalex.org/W2740962288","https://openalex.org/W2904448246","https://openalex.org/W2912291331","https://openalex.org/W2997434542","https://openalex.org/W3045577114","https://openalex.org/W3070101261","https://openalex.org/W3102704006","https://openalex.org/W3114263192","https://openalex.org/W3127118950","https://openalex.org/W3127275112","https://openalex.org/W3135757144","https://openalex.org/W3153042747","https://openalex.org/W4210564650","https://openalex.org/W4225767175","https://openalex.org/W4283698514","https://openalex.org/W4283727098","https://openalex.org/W4304759582","https://openalex.org/W4308634128","https://openalex.org/W4318603851","https://openalex.org/W4322733148","https://openalex.org/W4327522695","https://openalex.org/W4366084253","https://openalex.org/W4386472868","https://openalex.org/W4388579564","https://openalex.org/W4391243935","https://openalex.org/W4391807011","https://openalex.org/W4392436549","https://openalex.org/W4396629508","https://openalex.org/W4399487226","https://openalex.org/W4400810505","https://openalex.org/W4402624667","https://openalex.org/W4404056986","https://openalex.org/W4404280149","https://openalex.org/W4406657405","https://openalex.org/W4407212638"],"related_works":[],"abstract_inverted_index":{"Massive":[0],"multiagent":[1,54],"systems":[2,221],"typically":[3],"involve":[4],"a":[5,19,40,88,167,177],"very":[6],"large":[7],"number":[8],"of":[9,13,65,85,112,151,164,186,192,204,216,227],"interactions":[10,64],"and":[11,25,102,118,133,145,183,199,225],"conflicts":[12],"interest":[14],"among":[15],"agents,":[16],"which":[17,175],"presents":[18],"significant":[20],"challenge":[21],"for":[22],"achieving":[23],"stable":[24],"efficient":[26],"adaptive":[27,44],"optimal":[28,58,142],"consensus":[29,59],"control":[30,48,121,143],"in":[31,82],"real-time.":[32],"To":[33],"fill":[34],"this":[35,37],"gap,":[36],"article":[38],"develops":[39],"novel":[41,89,168],"federated":[42,170],"learning":[43,171],"dynamic":[45],"programming":[46],"(FL-ADP)":[47],"scheme":[49],"to":[50,107,138,157,209],"solve":[51],"the":[52,62,83,95,99,109,113,125,130,140,147,152,160,165,184,190,196,200,223,228],"massive":[53,217],"mean-field":[55,96],"games":[56],"(MFGs)-based":[57],"problem.":[60],"First,":[61],"complex":[63],"each":[66],"individual":[67],"agent":[68],"with":[69,159],"all":[70,205],"other":[71],"agents":[72,206],"can":[73],"be":[74,210],"approximated":[75],"by":[76],"an":[77],"average":[78],"or":[79],"collective":[80,153],"influence":[81],"context":[84],"MFGs.":[86],"Then,":[87],"undiscounted":[90],"performance":[91],"index":[92],"function":[93,150],"involving":[94],"coupling":[97],"term,":[98],"tracking":[100,197],"errors":[101,198,203],"their":[103],"derivatives":[104],"is":[105,173],"proposed":[106,229],"circumvent":[108],"potential":[110],"impact":[111],"improper":[114],"discount":[115],"factor":[116],"selection":[117],"achieve":[119],"better":[120],"performance.":[122],"By":[123],"designing":[124],"critic-mass":[126],"neural":[127],"network":[128],"structure,":[129],"coupled":[131],"Hamilton-Jacobi-Bellman":[132],"Fokker-Planck-Kolmogorov":[134],"equations":[135],"are":[136,207],"solved":[137],"derive":[139],"approximate":[141],"policy":[144],"quantify":[146],"probability":[148],"density":[149],"behavior":[154],"simultaneously.":[155],"Additionally,":[156],"comply":[158],"required":[161],"convergence":[162],"condition":[163],"MFG,":[166],"event-triggered":[169],"mechanism":[172],"formulated,":[174],"achieves":[176],"balance":[178],"between":[179],"communication":[180],"resource":[181],"consumption":[182],"guarantee":[185],"algorithm":[187],"convergence.":[188],"On":[189],"basis":[191],"Lyapunov's":[193],"direct":[194],"method,":[195],"weight":[201],"estimation":[202],"guaranteed":[208],"uniformly":[211],"ultimately":[212],"bounded.":[213],"Simulation":[214],"results":[215],"multi-uncrewed":[218],"aerial":[219],"vehicle":[220],"affirm":[222],"rationality":[224],"effectiveness":[226],"method.":[230]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}