{"id":"https://openalex.org/W4412871138","doi":"https://doi.org/10.1109/tcns.2025.3590417","title":"Data-Driven Mean-Field Equilibrium Computation in Large-Population LQG Games","display_name":"Data-Driven Mean-Field Equilibrium Computation in Large-Population LQG Games","publication_year":2025,"publication_date":"2025-07-18","ids":{"openalex":"https://openalex.org/W4412871138","doi":"https://doi.org/10.1109/tcns.2025.3590417"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2025.3590417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2025.3590417","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2502.19993","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100729868","display_name":"Zhenhui Xu","orcid":"https://orcid.org/0000-0003-1378-6164"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]},{"id":"https://openalex.org/I4400009020","display_name":"Institute of Science Tokyo","ror":"https://ror.org/05dqf9946","country_code":null,"type":"education","lineage":["https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Zhenhui Xu","raw_affiliation_strings":["School of Engineering, Institute of Science Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"School of Engineering, Institute of Science Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I161296585","https://openalex.org/I4400009020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026870251","display_name":"Jiayu Chen","orcid":"https://orcid.org/0000-0003-3754-9905"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]},{"id":"https://openalex.org/I4400009020","display_name":"Institute of Science Tokyo","ror":"https://ror.org/05dqf9946","country_code":null,"type":"education","lineage":["https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jiayu Chen","raw_affiliation_strings":["School of Engineering, Institute of Science Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"School of Engineering, Institute of Science Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I161296585","https://openalex.org/I4400009020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017397385","display_name":"Bing\u2010Chang Wang","orcid":"https://orcid.org/0000-0003-3882-8615"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing-Chang Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015056057","display_name":"Tielong Shen","orcid":"https://orcid.org/0000-0002-2183-9978"},"institutions":[{"id":"https://openalex.org/I42999171","display_name":"Sophia University","ror":"https://ror.org/01nckkm68","country_code":"JP","type":"education","lineage":["https://openalex.org/I42999171"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tielong Shen","raw_affiliation_strings":["Faculty of Science and Engineering, Sophia University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Sophia University, Tokyo, Japan","institution_ids":["https://openalex.org/I42999171"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100729868"],"corresponding_institution_ids":["https://openalex.org/I161296585","https://openalex.org/I4400009020"],"apc_list":null,"apc_paid":null,"fwci":2.0068,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87900378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"12","issue":"4","first_page":"2713","last_page":"2725"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9309999942779541,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9309999942779541,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.6844623684883118},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6285737752914429},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5049324631690979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5002014636993408},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4611719846725464},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4266635775566101},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4229205250740051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4125768542289734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2863849699497223},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2848086953163147},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.165044367313385},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12732163071632385},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.11490610241889954}],"concepts":[{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.6844623684883118},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6285737752914429},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5049324631690979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5002014636993408},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4611719846725464},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4266635775566101},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4229205250740051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4125768542289734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2863849699497223},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2848086953163147},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.165044367313385},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12732163071632385},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.11490610241889954},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcns.2025.3590417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2025.3590417","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2502.19993","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.19993","pdf_url":"https://arxiv.org/pdf/2502.19993","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:2502.19993","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.19993","pdf_url":"https://arxiv.org/pdf/2502.19993","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[{"id":"https://openalex.org/G4553523842","display_name":null,"funder_award_id":"62192753","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":0,"referenced_works":[],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W2115005925","https://openalex.org/W2101783086","https://openalex.org/W1998777431","https://openalex.org/W2037500647","https://openalex.org/W2621108323","https://openalex.org/W2619014647"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,67],"novel":[4],"data-driven":[5],"approach":[6,117],"for":[7,66],"approximating":[8],"the":[9,64,86,90,96,100,115,121,130,133],"<inline-formula":[10],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[12],"notation=\"LaTeX\">$\\varepsilon$</tex-math></inline-formula>-Nash":[13],"equilibrium":[14],"in":[15],"continuous-time":[16],"linear":[17],"quadratic":[18],"Gaussian":[19],"(LQG)":[20],"games,":[21],"where":[22],"multiple":[23],"agents":[24],"interact":[25],"with":[26],"each":[27],"other":[28],"through":[29,79],"their":[30,71],"dynamics":[31,102],"and":[32,49,57,89],"infinite":[33],"horizon":[34],"discounted":[35],"costs.":[36],"The":[37,74],"core":[38],"of":[39,70,99,132],"our":[40],"method":[41],"involves":[42],"solving":[43],"two":[44],"algebraic":[45],"Riccati":[46],"equations":[47],"(AREs)":[48],"an":[50,80],"ordinary":[51],"differential":[52],"equation":[53],"(ODE)":[54],"using":[55],"state":[56],"input":[58],"samples":[59],"collected":[60],"from":[61],"agents,":[62],"eliminating":[63],"need":[65],"priori":[68],"knowledge":[69],"dynamical":[72],"models.":[73],"standard":[75],"ARE":[76,88],"is":[77],"addressed":[78],"integral":[81],"reinforcement":[82],"learning":[83],"technique,":[84],"while":[85],"nonsymmetric":[87,122],"ODE":[91],"are":[92,126],"resolved":[93],"by":[94,107],"identifying":[95],"drift":[97],"coefficients":[98],"agents'":[101],"under":[103],"general":[104],"conditions.":[105],"Moreover,":[106],"imposing":[108],"specific":[109],"conditions":[110],"on":[111],"models,":[112],"we":[113],"extend":[114],"learning-based":[116],"to":[118,128],"approximately":[119],"solve":[120],"ARE.":[123],"Numerical":[124],"examples":[125],"given":[127],"demonstrate":[129],"effectiveness":[131],"proposed":[134],"algorithms.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
