Stochastic Semi-Gradient Descent for Learning Mean Field Games with Population-Aware Function Approximation.

Xu Chen 0033 Columbia University, Department of Civil Engineering and Engineering Mechanics, New York City, NY, USA https://www.linkedin.com/in/xu-chen-433600236/ https://orcid.org/0000-0002-1006-0926 https://scholar.google.com/citations?user=MU4xWsYAAAAJ https://openreview.net/profile?id=~Xu_Chen29 Xu Chen Xu Chen 0001 University of Washington, Mechanical Engineering, Seattle, USA University of Connecticut, Mechanical Engineering, Storrs, CT, USA University of California Berkeley, Mechanical Engineerin, USA http://www.engr.uconn.edu/~xchen/ https://orcid.org/0000-0002-4604-5744 Xu Chen 0002 University of Macau, Department of Mathematics, China https://orcid.org/0000-0002-5195-5443 Xu Chen 0003 Shenzhen Institute of Information Technology, School of Software Engineering, China https://orcid.org/0000-0002-4389-0651 Xu Chen 0004 Sun Yat-sen University, School of Data and Computer Science, Guangzhou, China University of Göttingen, Germany Arizona State University, School of Electrical, Computer and Energy Engineering, Tempe, AZ, USA The Chinese University of Hong Kong, Hong Kong https://orcid.org/0000-0001-9943-6020 https://orcid.org/0000-0002-0780-1607 https://orcid.org/0000-0003-1199-2730 https://www.wikidata.org/entity/Q130822316 Xu Chen 0005 Beijing Jiaotong University, State Key Lab of Rail Traffic Control and Safety, China https://orcid.org/0000-0002-2818-0416 Xu Chen 0006 Jiangsu University, School of Electrical and Information Engineering, Zhenjiang, China https://orcid.org/0000-0003-2779-9978 Xu Chen 0007 University of Shanghai for Science and Technology, College of Science, China https://orcid.org/0000-0002-8258-0701 Xu Chen 0008 Nanjing University of Information Science and Technology, School of Information and Control, China https://orcid.org/0000-0003-1224-7644 Xu Chen 0009 Huaqiao University, Fujian Research Center for Tunneling and Urban Underground Space Engineering, Xiamen, China https://orcid.org/0000-0001-8522-8941 Xu Chen 0010 North Minzu University, Internet Information Technology Center, Yinchuan, China Northeastern University, School of Computer Science and Engineering, Shenyang, China https://orcid.org/0000-0002-1827-8997 https://orcid.org/0000-0002-1736-7381 https://ieeexplore.ieee.org/author/37085873324 Xu Chen 0011 Rice University, Department of Electrical and Computer Engineering, Houston, TX, USA https://orcid.org/0000-0003-1553-549X Xu Chen 0012 Beijing University of Posts and Telecommunications, School of Electronic Engineering, Beijing, China https://orcid.org/0000-0003-0862-3264 Xu Chen 0013 Northeastern University at Qinhuangdao, Department of Communication Engineering, Qinhuangdao, China Xu Chen 0014 Guangdong University of Technology, School of Automation, Web Identity Security Lab, Guangzhou, China https://orcid.org/0000-0002-9241-7350 Xu Chen 0015 University of Electronic Science and Technology of China, Chengdu, China https://orcid.org/0000-0003-1252-2087 Xu Chen 0016 Beijing Institute of Technology, Beijing, China Xu Chen 0017 陈旭 Renmin University of China, China University College London, UK Chen Xu 0010 http://xu-chen.com/ https://scholar.google.com/citations?user=loPoqy0AAAAJ https://openreview.net/profile?id=~Xu_Chen13 https://twitter.com/491766252xu https://github.com/gearsuccess https://orcid.org/0000-0003-0144-1775 https://www.wikidata.org/entity/Q130799509 Xu Chen 0018 Northwestern University, Department of Electrical Engineering and Computer Science, Evanston, IL, USA https://xuchen-nwu.github.io/ https://scholar.google.com/citations?user=vFaPyjAAAAAJ https://www.linkedin.com/in/xu-chen-48001411 https://ieeexplore.ieee.org/author/37085623792 https://orcid.org/0000-0002-6010-320X Xu Chen 0019 University of Illinois, Department of Electrical and Computer Engineering, Chicago, IL, USA Xu Chen 0020 陈旭 University of North Carolina at Chapel Hill, NC, USA Xiamen University, School of Software, China https://scholar.google.com/citations?user=fwi5juMAAAAJ https://orcid.org/0000-0002-0367-3003 https://www.wikidata.org/entity/Q90210635 https://ieeexplore.ieee.org/author/37088231747 https://zbmath.org/authors/?q=ai:chen.xu.6 Xu Chen 0021 Southeast University, National Mobile Communications Research Laboratory, Nanjing, China https://orcid.org/0000-0002-4186-6578 Xu Chen 0022 陈旭 Microsoft Research Asia, Beijing, China Peking University, Beijing, China https://orcid.org/0000-0001-5041-0532 https://openreview.net/profile?id=~Xu_Chen18 https://ieeexplore.ieee.org/author/37087058106 Xu Chen 0023 University of Electronic Science and Technology of China, School of Computer Science and Engineering, Chengdu, China https://orcid.org/0009-0004-3909-4021 https://www.wikidata.org/entity/Q131019973 Xu Chen 0024 Youtu Lab, Tencents, China https://scholar.google.com/citations?user=1621dVIAAAAJ Xu Chen 0025 ETH Zurich, AIT Lab, Zürich, Switzerland Max Planck Institute for Intelligent Systems, Tübingen, Germany https://orcid.org/0000-0003-1715-2820 https://ieeexplore.ieee.org/author/37089400198 Xu Chen 0026 Alibaba Group University of Technology Sydney, Sydney, NSW, Australia Shanghai Jiao Tong University, Shanghai, China https://orcid.org/0000-0001-5299-7074 https://www.wikidata.org/entity/Q131197327 Mia Xu Chen Xu Chen 0027 Google, Mountain View, CA, USA Princeton University, Department of Electrical Engineering, USA https://scholar.google.com/citations?user=wE9BArMAAAAJ Xu Chen 0028 AT&T Labs - Research, Shannon Laboratory, NJ, USA University of Michigan, MI, USA Xu Chen 0029 China Academy of Information and Telecommunications Technology, CAICT, Beijing, China Beijing University of Posts and Telecommunications, School of Information and Communication Engineering, China Southwest Jiaotong University, Chengdu, China https://orcid.org/0000-0001-7527-0265 Xu Chen 0030 Queen Mary University of London, London, UK University of Cambridge, Cambridge, UK https://scholar.google.com/citations?user=P7YHbIEAAAAJ https://orcid.org/0000-0001-9925-2598 Xu Chen 0031 Shandong University, School of Software, Jinan, China https://orcid.org/0000-0003-0561-4450 https://scholar.google.com/citations?user=oVn-a3QAAAAJ Xu Chen 0032 Zhongnan University of Economics and Law, School of Information and Safety Engineering, Wuhan, China Wuhan University, Wuhan, China https://orcid.org/0000-0002-6393-8472 https://ieeexplore.ieee.org/author/37089427883 Xu Chen 0034 Central China Normal University, Faculty of Artificial Intelligence in Education, Wuhan, China Wuhan University, China https://ieeexplore.ieee.org/author/37085907269 https://orcid.org/0000-0002-4200-2253 https://www.wikidata.org/entity/Q99360000 Xu Chen 0035 Fuzhou University, College of Environment and Resources, China https://orcid.org/0000-0003-1122-1661 Xu Chen 0036 Danmarks Tekniske Universitet, Department of Electrical Engineering, Lyngby, Denmark Jilin University, China https://ieeexplore.ieee.org/author/37086331894 https://orcid.org/0000-0002-6709-6188 Xu Chen 0037 Chinese Academy of Sciences, Beijing Institute of Genomics, China https://orcid.org/0000-0001-6102-1751 Xu Chen 0038 University of Hong Kong, Department of Electrical and Electronic Engineering, Hong Kong https://ieeexplore.ieee.org/author/37086849651 https://orcid.org/0000-0002-5772-1875 Xu Chen 0039 Tianjin University, School of Chemical Engineering and Technology, China https://orcid.org/0000-0002-7754-9814 Xu Chen 0040 Nanjing University of Aeronautics and Astronautics, Center for More-Electric-Aircraft Power System, China https://ieeexplore.ieee.org/author/37086886327 https://orcid.org/0000-0002-2318-3247 Xu Chen 0041 Ningbo University, Faculty of Electrical Engineering and Computer Science, China https://ieeexplore.ieee.org/author/37089822241 https://orcid.org/0009-0009-5792-0741 Xu Chen 0042 Wuhan University, School of Computer Science, China https://ieeexplore.ieee.org/author/37085623729 https://orcid.org/0000-0003-0967-0521 Xu Chen 0043 RWTH Aachen University, Institute of Automatic Control, Germany https://ieeexplore.ieee.org/author/946554944083581 https://orcid.org/0009-0005-0907-7017 Xu Chen 0044 Xi'an Jiaotong University, Department of Mechanical Engineering, China https://orcid.org/0000-0003-3298-7439 Xu Chen 0045 Zhejiang University, College of Control Science and Engineering, Hangzhou, China https://ieeexplore.ieee.org/author/37089508075 https://orcid.org/0000-0002-4951-8332 Xu Chen 0046 Meta, Menlo Park, USA https://orcid.org/0000-0003-3422-0127 Xu Chen 0047 Zoom Video Communications Inc., San Jose, CA, USA SAS Institute Inc., Cary, NC, USA University of Illinois at Urbana-Champaign, Urbana, IL, USA https://ieeexplore.ieee.org/author/37089593414 https://orcid.org/0000-0003-0003-0210 Xu Chen 0048 Hangzhou Dianzi University, School of Computer Science and Technology, China https://ieeexplore.ieee.org/author/37088803652 https://orcid.org/0000-0003-0787-8994 Xu Chen 0049 Jilin University, School of Artificial Intelligence, Changchun, China https://orcid.org/0000-0002-0866-6857 Xu Chen 0050 Tsinghua University, Department of Automation, Beijing, China https://ieeexplore.ieee.org/author/37089281462 https://orcid.org/0000-0003-4432-814X Xu Chen 0051 Leiden University Medical Center, The Netherland Maastricht University, Department of Cognitive Neuroscience, The Netherlands https://orcid.org/0000-0001-9506-1815 https://www.wikidata.org/entity/Q91630874 Xu Chen 0052 Beijing University of Posts and Telecommunications, School of Software, China https://ieeexplore.ieee.org/author/37089091604 https://orcid.org/0000-0002-6121-8391 Xu Chen 0053 Tianjin University, College of Intelligence and Computing, China https://ieeexplore.ieee.org/author/37089731657 https://orcid.org/0000-0002-1805-5435 Xu Chen 0054 Nankai University, Tianjin, China https://ieeexplore.ieee.org/author/37089512689 https://orcid.org/0000-0002-2632-7576 Xu Chen 0055 Harbin Engineering University, College of Information and Communication Engineering, China National University of Defense Technology, College of Electronic Science and Technology, Changsha, China https://ieeexplore.ieee.org/author/37088599316 https://orcid.org/0000-0002-3412-8972 https://orcid.org/0000-0002-1771-9383 https://www.wikidata.org/entity/Q103832561 Chenyu Zhang 0002 Xu Chen 0033 Xuan Di Stochastic Semi-Gradient Descent for Learning Mean Field Games with Population-Aware Function Approximation. 2025 ICLR https://openreview.net/forum?id=tfO07iz0b9 conf/iclr/2025 db/conf/iclr/iclr2025.html#0002CD25 Bowen Fang Xu Chen 0033 Xuan Di Learn to Tour: Operator Design for Solution Feasibility Mapping in Pickup-and-Delivery Traveling Salesman Problem. 284-289 2025 ITSC https://doi.org/10.1109/ITSC60802.2025.11423600 conf/itsc/2025 db/conf/itsc/itsc2025.html#FangCD25 Xu Chen 0033 Bowen Fang Xuan Di A Unified Network Equilibrium for Integrated Shared Mobility Services. 4718-4723 2025 ITSC https://doi.org/10.1109/ITSC60802.2025.11423680 conf/itsc/2025 db/conf/itsc/itsc2025.html#ChenFD25

Xu Chen 0033 Shuo Liu 0018 Xuan Di Physics-Informed Graph Neural Operator for Mean Field Games on Graph: A Scalable Learning Approach. 12 2024 April 15 Games 2 https://doi.org/10.3390/g15020012 db/journals/games/games15.html#ChenLD24

Yupei Shu Xu Chen 0033 Xuan Di Mobility Pattern Analysis during Russia-Ukraine War Using Twitter Location Data. 76 2024 February 15 Inf. 2 https://doi.org/10.3390/info15020076 db/journals/information/information15.html#ShuCD24

Zhaobin Mo Xu Chen 0033 Xuan Di Elisa Iacomini Chiara Segala Michael Herty Mathieu Laurière A Game-Theoretic Framework for Generic Second-Order Traffic Flow Models Using Mean Field Games and Adversarial Inverse Reinforcement Learning. 1403-1426 2024 58 Transp. Sci. 6 https://doi.org/10.1287/trsc.2024.0532 db/journals/transci/transci58.html#MoCDISHL24 streams/journals/transci

Chenyu Zhang 0002 Xu Chen 0033 Xuan Di A Single Online Agent Can Efficiently Learn Mean Field Games. 3557-3564 2024 ECAI https://doi.org/10.3233/FAIA240910 conf/ecai/2024 db/conf/ecai/ecai2024.html#0002CD24 Bowen Fang Xu Chen 0033 Zhengkun Pan Xuan Di SLAMuZero: Plan and Learn to Map for Joint SLAM and Navigation. 196-200 2024 ICAPS https://doi.org/10.1609/icaps.v34i1.31476 conf/icaps/2024 db/conf/icaps/icaps2024.html#FangCPD24 Fuzhong Zhou Chenyu Zhang 0002 Xu Chen 0033 Xuan Di Graphon Mean Field Games with a Representative Player: Analysis and Learning Algorithm. 2024 ICML https://proceedings.mlr.press/v235/zhou24u.html https://openreview.net/forum?id=7C4EQqtb02 conf/icml/2024 db/conf/icml/icml2024.html#Zhou0CD24 62210-62256

Bowen Fang Xu Chen 0033 Xuan Di Learn to Tour: Operator Design For Solution Feasibility Mapping in Pickup-and-delivery Traveling Salesman Problem. 2024 abs/2404.11458 CoRR https://doi.org/10.48550/arXiv.2404.11458 db/journals/corr/corr2404.html#abs-2404-11458

Chenyu Zhang 0002 Xu Chen 0033 Xuan Di A Single Online Agent Can Efficiently Learn Mean Field Games. 2024 abs/2405.03718 CoRR https://doi.org/10.48550/arXiv.2405.03718 db/journals/corr/corr2405.html#abs-2405-03718

Fuzhong Zhou Chenyu Zhang 0002 Xu Chen 0033 Xuan Di Graphon Mean Field Games with a Representative Player: Analysis and Learning Algorithm. 2024 abs/2405.08005 CoRR https://doi.org/10.48550/arXiv.2405.08005 db/journals/corr/corr2405.html#abs-2405-08005

Chenyu Zhang 0002 Xu Chen 0033 Xuan Di Stochastic Semi-Gradient Descent for Learning Mean Field Games with Population-Aware Function Approximation. 2024 abs/2408.08192 CoRR https://doi.org/10.48550/arXiv.2408.08192 db/journals/corr/corr2408.html#abs-2408-08192 streams/journals/corr

Boxuan Wang Haonan Duan 0003 Yanhao Feng Xu Chen 0033 Yongjie Fu Zhaobin Mo Xuan Di Can LLMs Understand Social Norms in Autonomous Driving Games? 2024 abs/2408.12680 CoRR https://doi.org/10.48550/arXiv.2408.12680 db/journals/corr/corr2408.html#abs-2408-12680 streams/journals/corr

Yongjie Fu Anmol Jain Xuan Di Xu Chen 0033 Zhaobin Mo DriveGenVLM: Real-world Video Generation for Vision Language Model based Autonomous Driving. 2024 abs/2408.16647 CoRR https://doi.org/10.48550/arXiv.2408.16647 db/journals/corr/corr2408.html#abs-2408-16647 streams/journals/corr

Xu Chen 0033 Xuan Di Zechu Li Social Learning for Sequential Driving Dilemmas. 41 2023 14 Games 3 https://doi.org/10.3390/g14030041 db/journals/games/games14.html#ChenDL23

Xu Chen 0033 Zihe Wang Xuan Di Sentiment Analysis on Multimodal Transportation during the COVID-19 Using Social Media Data. 113 2023 February 14 Inf. 2 https://doi.org/10.3390/info14020113 db/journals/information/information14.html#ChenWD23

Xu Chen 0033 Shuo Liu 0018 Xuan Di A Hybrid Framework of Reinforcement Learning and Physics-Informed Deep Learning for Spatiotemporal Mean Field Games. 1079-1087 2023 AAMAS https://dl.acm.org/doi/10.5555/3545946.3598748 conf/atal/2023 db/conf/atal/aamas2023.html#ChenLD23 Xu Chen 0033 Shuo Liu 0018 Xuan Di Learning Dual Mean Field Games on Graphs. 421-428 2023 ECAI https://doi.org/10.3233/FAIA230299 conf/ecai/2023 db/conf/ecai/ecai2023.html#ChenLD23 Xu Chen 0033 Yishi Wang Xuan Di Whose Attitudes Toward Transit Are Most Affected by Rising Subway Crimes in New York City? 4153-4158 2023 ITSC https://doi.org/10.1109/ITSC57777.2023.10421971 conf/itsc/2023 db/conf/itsc/itsc2023.html#ChenWD23 Xu Chen 0033 Xuan Di How the COVID-19 Pandemic Influences Human Mobility? Similarity Analysis Leveraging Social Media Data. 2955-2960 2022 ITSC https://doi.org/10.1109/ITSC55140.2022.9922060 conf/itsc/2022 db/conf/itsc/itsc2022.html#ChenD22 Shuo Liu 0018 Yunhao Wang Xu Chen 0033 Yongjie Fu Xuan Di SMART-eFlo: An Integrated SUMO-Gym Framework for Multi-Agent Reinforcement Learning in Electric Fleet Management Problem. 3026-3031 2022 ITSC https://doi.org/10.1109/ITSC55140.2022.9922047 conf/itsc/2022 db/conf/itsc/itsc2022.html#LiuWCFD22 Zhenyu Shou Xu Chen 0033 Xuan Di Bayesian Optimization for Multi-Agent Routing in Markov Games. 3993-3998 2022 ITSC https://doi.org/10.1109/ITSC55140.2022.9922110 conf/itsc/2022 db/conf/itsc/itsc2022.html#ShouCD22 Xu Chen 0033 Zechu Li Xuan Di Social Learning In Markov Games: Empowering Autonomous Driving. 478-483 2022 IV https://doi.org/10.1109/IV51971.2022.9827289 conf/ivs/2022 db/conf/ivs/ivs2022.html#ChenLD22

Xu Chen 0033 Xuan Di A Unified Network Equilibrium for E-Hailing Platform Operation and Customer Mode Choice. 2022 abs/2203.04865 CoRR https://doi.org/10.48550/arXiv.2203.04865 db/journals/corr/corr2203.html#abs-2203-04865

Xu Chen 0033 Haohan Zeng Heng Xu Xuan Di Sentiment Analysis of Autonomous Vehicles After Extreme Events Using Social Media Data. 1211-1216 2021 ITSC https://doi.org/10.1109/ITSC48978.2021.9564721 conf/itsc/2021 db/conf/itsc/itsc2021.html#ChenZXD21

Kuang Huang Xu Chen 0033 Xuan Di Qiang Du 0001 Driving and Routing Game for Autonomous Vehicles on a Network. 2020 abs/2012.08388 CoRR https://arxiv.org/abs/2012.08388 db/journals/corr/corr2012.html#abs-2012-08388

Xuan Di Xu Chen 0033 Eric Talley Liability Design for Autonomous Vehicles and Human-Driven Vehicles: A Hierarchical Game-Theoretic Approach. 2019 abs/1911.02405 CoRR http://arxiv.org/abs/1911.02405 db/journals/corr/corr1911.html#abs-1911-02405

Xuan Di Qiang Du 0001 Haonan Duan 0003 Bowen Fang Yanhao Feng Yongjie Fu Michael Herty Kuang Huang Elisa Iacomini Anmol Jain Mathieu Laurière Zechu Li Shuo Liu 0018 Zhaobin Mo Zhengkun Pan Chiara Segala Zhenyu Shou Yupei Shu Eric Talley Boxuan Wang Yishi Wang Yunhao Wang Zihe Wang Heng Xu Haohan Zeng Chenyu Zhang 0002 Fuzhong Zhou