Search dblp for Publications

export results for "Mean-Field Networks"

 download as .bib file

@article{DBLP:journals/corr/abs-2402-07025,
  author       = {Gholamali Aminian and
                  Yixuan He and
                  Gesine Reinert and
                  Lukasz Szpruch and
                  Samuel N. Cohen},
  title        = {Generalization Error of Graph Neural Networks in the Mean-field Regime},
  journal      = {CoRR},
  volume       = {abs/2402.07025},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2402.07025},
  doi          = {10.48550/ARXIV.2402.07025},
  eprinttype    = {arXiv},
  eprint       = {2402.07025},
  timestamp    = {Fri, 16 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2402-07025.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-11836,
  author       = {Amirreza Silani and
                  Simon H. Tindemans},
  title        = {Stochastic Mean Field Game for Strategic Bidding of Consumers in Congested
                  Distribution Networks},
  journal      = {CoRR},
  volume       = {abs/2403.11836},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2403.11836},
  doi          = {10.48550/ARXIV.2403.11836},
  eprinttype    = {arXiv},
  eprint       = {2403.11836},
  timestamp    = {Mon, 08 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2403-11836.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-14917,
  author       = {Shokichi Takakura and
                  Taiji Suzuki},
  title        = {Mean-field Analysis on Two-layer Neural Networks from a Kernel Perspective},
  journal      = {CoRR},
  volume       = {abs/2403.14917},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2403.14917},
  doi          = {10.48550/ARXIV.2403.14917},
  eprinttype    = {arXiv},
  eprint       = {2403.14917},
  timestamp    = {Tue, 09 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2403-14917.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/compnet/JonesW23,
  author       = {Chris Jones and
                  Karoline Wiesner},
  title        = {Improving mean-field network percolation models with neighbourhood
                  information},
  journal      = {J. Complex Networks},
  volume       = {11},
  number       = {4},
  year         = {2023},
  url          = {https://doi.org/10.1093/comnet/cnad029},
  doi          = {10.1093/COMNET/CNAD029},
  timestamp    = {Fri, 18 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/compnet/JonesW23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iotj/ZhangLTWLCDH23,
  author       = {Hengxi Zhang and
                  Chengyue Lu and
                  Huaze Tang and
                  Xiaoli Wei and
                  Le Liang and
                  Ling Cheng and
                  Wenbo Ding and
                  Zhu Han},
  title        = {Mean-Field-Aided Multiagent Reinforcement Learning for Resource Allocation
                  in Vehicular Networks},
  journal      = {{IEEE} Internet Things J.},
  volume       = {10},
  number       = {3},
  pages        = {2667--2679},
  year         = {2023},
  url          = {https://doi.org/10.1109/JIOT.2022.3214525},
  doi          = {10.1109/JIOT.2022.3214525},
  timestamp    = {Mon, 30 Oct 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iotj/ZhangLTWLCDH23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcn/HuiWC23,
  author       = {Haiming Hui and
                  Shuqi Wei and
                  Wei Chen},
  title        = {Fresh multiple access: {A} unified framework based on large models
                  and mean-field approximations},
  journal      = {J. Commun. Networks},
  volume       = {25},
  number       = {5},
  pages        = {598--620},
  year         = {2023},
  url          = {https://doi.org/10.23919/jcn.2023.000044},
  doi          = {10.23919/JCN.2023.000044},
  timestamp    = {Fri, 05 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcn/HuiWC23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/AndriaMP23,
  author       = {Joseph Andria and
                  Rosario Maggistro and
                  Raffaele Pesenti},
  title        = {Sustainable Management of Tourist Flow Networks: {A} Mean Field Model},
  journal      = {J. Optim. Theory Appl.},
  volume       = {196},
  number       = {2},
  pages        = {730--761},
  year         = {2023},
  url          = {https://doi.org/10.1007/s10957-023-02158-8},
  doi          = {10.1007/S10957-023-02158-8},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jota/AndriaMP23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jstsp/WangWKH23,
  author       = {Dezhi Wang and
                  Wei Wang and
                  Yuhan Kang and
                  Zhu Han},
  title        = {Distributed Data Offloading in Ultra-Dense {LEO} Satellite Networks:
                  {A} Stackelberg Mean-Field Game Approach},
  journal      = {{IEEE} J. Sel. Top. Signal Process.},
  volume       = {17},
  number       = {1},
  pages        = {112--127},
  year         = {2023},
  url          = {https://doi.org/10.1109/JSTSP.2022.3226400},
  doi          = {10.1109/JSTSP.2022.3226400},
  timestamp    = {Sat, 11 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jstsp/WangWKH23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mor/ConfortiKR23,
  author       = {Giovanni Conforti and
                  Anna Kazeykina and
                  Zhenjie Ren},
  title        = {Game on Random Environment, Mean-Field Langevin System, and Neural
                  Networks},
  journal      = {Math. Oper. Res.},
  volume       = {48},
  number       = {1},
  pages        = {78--99},
  year         = {2023},
  url          = {https://doi.org/10.1287/moor.2022.1252},
  doi          = {10.1287/MOOR.2022.1252},
  timestamp    = {Fri, 18 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mor/ConfortiKR23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/DuchetBB23,
  author       = {Benoit Duchet and
                  Christian Bick and
                  {\'{A}}ine Byrne},
  title        = {Mean-Field Approximations With Adaptive Coupling for Networks With
                  Spike-Timing-Dependent Plasticity},
  journal      = {Neural Comput.},
  volume       = {35},
  number       = {9},
  pages        = {1481--1528},
  year         = {2023},
  url          = {https://doi.org/10.1162/neco\_a\_01601},
  doi          = {10.1162/NECO\_A\_01601},
  timestamp    = {Tue, 15 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/neco/DuchetBB23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/ChiriGP23,
  author       = {Maria Teresa Chiri and
                  Xiaoqian Gong and
                  Benedetto Piccoli},
  title        = {Mean-field limit of a hybrid system for multi-lane car-truck traffic},
  journal      = {Networks Heterog. Media},
  volume       = {18},
  number       = {2},
  pages        = {723--752},
  year         = {2023},
  url          = {https://doi.org/10.3934/nhm.2023031},
  doi          = {10.3934/NHM.2023031},
  timestamp    = {Tue, 16 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/ChiriGP23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/PhamW23,
  author       = {Huy{\^{e}}n Pham and
                  Xavier Warin},
  title        = {Mean-field neural networks: Learning mappings on Wasserstein space},
  journal      = {Neural Networks},
  volume       = {168},
  pages        = {380--393},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.neunet.2023.09.015},
  doi          = {10.1016/J.NEUNET.2023.09.015},
  timestamp    = {Sun, 10 Dec 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/PhamW23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/DubovskayaFBGO23,
  author       = {Alina Dubovskaya and
                  Susan C. Fennell and
                  Kevin Burke and
                  James P. Gleeson and
                  Doireann O'Kiely},
  title        = {Analysis of Mean-Field Approximation for Deffuant Opinion Dynamics
                  on Networks},
  journal      = {{SIAM} J. Appl. Math.},
  volume       = {83},
  number       = {2},
  pages        = {436--459},
  year         = {2023},
  url          = {https://doi.org/10.1137/22m1499765},
  doi          = {10.1137/22M1499765},
  timestamp    = {Sat, 19 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamam/DubovskayaFBGO23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/PersioG23,
  author       = {Luca Di Persio and
                  Matteo Garbelli},
  title        = {From Optimal Control to Mean Field Optimal Transport via Stochastic
                  Neural Networks},
  journal      = {Symmetry},
  volume       = {15},
  number       = {9},
  pages        = {1724},
  year         = {2023},
  url          = {https://doi.org/10.3390/sym15091724},
  doi          = {10.3390/SYM15091724},
  timestamp    = {Wed, 24 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/symmetry/PersioG23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/QinKA23,
  author       = {Yujie Qin and
                  Mustafa A. Kishk and
                  Mohamed{-}Slim Alouini},
  title        = {A Dominant Interferer Plus Mean Field-Based Approximation for {SINR}
                  Meta Distribution in Wireless Networks},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {71},
  number       = {6},
  pages        = {3663--3678},
  year         = {2023},
  url          = {https://doi.org/10.1109/TCOMM.2023.3255907},
  doi          = {10.1109/TCOMM.2023.3255907},
  timestamp    = {Fri, 07 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/QinKA23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tmc/WangNGGGW23,
  author       = {Xiaojie Wang and
                  Zhaolong Ning and
                  Lei Guo and
                  Song Guo and
                  Xinbo Gao and
                  Guoyin Wang},
  title        = {Mean-Field Learning for Edge Computing in Mobile Blockchain Networks},
  journal      = {{IEEE} Trans. Mob. Comput.},
  volume       = {22},
  number       = {10},
  pages        = {5978--5994},
  year         = {2023},
  url          = {https://doi.org/10.1109/TMC.2022.3186699},
  doi          = {10.1109/TMC.2022.3186699},
  timestamp    = {Thu, 14 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tmc/WangNGGGW23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/ChenCWTXQX23,
  author       = {Runfeng Chen and
                  Jin Chen and
                  Haichao Wang and
                  Xiaobing Tong and
                  Yifan Xu and
                  Nan Qi and
                  Yuhua Xu},
  title        = {Joint Channel Access and Power Control Optimization in Large-Scale
                  {UAV} Networks: {A} Hierarchical Mean Field Game Approach},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {72},
  number       = {2},
  pages        = {1982--1996},
  year         = {2023},
  url          = {https://doi.org/10.1109/TVT.2022.3210287},
  doi          = {10.1109/TVT.2022.3210287},
  timestamp    = {Sat, 25 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tvt/ChenCWTXQX23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/KangWKXZH23,
  author       = {Yuhan Kang and
                  Haoxin Wang and
                  BaekGyu Kim and
                  Jiang (Linda) Xie and
                  Xiao{-}Ping Zhang and
                  Zhu Han},
  title        = {Time Efficient Offloading Optimization in Automotive Multi-Access
                  Edge Computing Networks Using Mean-Field Games},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {72},
  number       = {5},
  pages        = {6460--6473},
  year         = {2023},
  url          = {https://doi.org/10.1109/TVT.2022.3229888},
  doi          = {10.1109/TVT.2022.3229888},
  timestamp    = {Fri, 02 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvt/KangWKXZH23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/YeWT23,
  author       = {Pei{-}Gen Ye and
                  Yuan{-}Gen Wang and
                  Weixuan Tang},
  title        = {{S-MFRL:} Spiking Mean Field Reinforcement Learning for Dynamic Resource
                  Allocation of {D2D} Networks},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {72},
  number       = {1},
  pages        = {1032--1047},
  year         = {2023},
  url          = {https://doi.org/10.1109/TVT.2022.3203050},
  doi          = {10.1109/TVT.2022.3203050},
  timestamp    = {Tue, 31 Jan 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tvt/YeWT23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/winet/WangNYJZ23,
  author       = {Yu Wang and
                  Qinyin Ni and
                  Junjiang Yu and
                  Enfu Jia and
                  Xiaorong Zhu},
  title        = {An intelligent access algorithm for large scale multihop wireless
                  networks based on mean field game},
  journal      = {Wirel. Networks},
  volume       = {29},
  number       = {1},
  pages        = {331--344},
  year         = {2023},
  url          = {https://doi.org/10.1007/s11276-022-03025-6},
  doi          = {10.1007/S11276-022-03025-6},
  timestamp    = {Sat, 13 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/winet/WangNYJZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/SilaniT23,
  author       = {Amirreza Silani and
                  Simon H. Tindemans},
  title        = {Mean Field Game for Strategic Bidding of Energy Consumers in Congested
                  Distribution Networks},
  booktitle    = {62nd {IEEE} Conference on Decision and Control, {CDC} 2023, Singapore,
                  December 13-15, 2023},
  pages        = {3606--3611},
  publisher    = {{IEEE}},
  year         = {2023},
  url          = {https://doi.org/10.1109/CDC49753.2023.10384016},
  doi          = {10.1109/CDC49753.2023.10384016},
  timestamp    = {Mon, 29 Jan 2024 17:30:32 +0100},
  biburl       = {https://dblp.org/rec/conf/cdc/SilaniT23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/colt/0002SKL23,
  author       = {Luca Arnaboldi and
                  Ludovic Stephan and
                  Florent Krzakala and
                  Bruno Loureiro},
  editor       = {Gergely Neu and
                  Lorenzo Rosasco},
  title        = {From high-dimensional {\&} mean-field dynamics to dimensionless
                  ODEs: {A} unifying approach to {SGD} in two-layers networks},
  booktitle    = {The Thirty Sixth Annual Conference on Learning Theory, {COLT} 2023,
                  12-15 July 2023, Bangalore, India},
  series       = {Proceedings of Machine Learning Research},
  volume       = {195},
  pages        = {1199--1227},
  publisher    = {{PMLR}},
  year         = {2023},
  url          = {https://proceedings.mlr.press/v195/arnaboldi23a.html},
  timestamp    = {Mon, 05 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/colt/0002SKL23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iclr/RenZ023,
  author       = {Yunwei Ren and
                  Mo Zhou and
                  Rong Ge},
  title        = {Depth Separation with Multilayer Mean-Field Networks},
  booktitle    = {The Eleventh International Conference on Learning Representations,
                  {ICLR} 2023, Kigali, Rwanda, May 1-5, 2023},
  publisher    = {OpenReview.net},
  year         = {2023},
  url          = {https://openreview.net/pdf?id=uzFQpkEzOo},
  timestamp    = {Fri, 30 Jun 2023 14:38:38 +0200},
  biburl       = {https://dblp.org/rec/conf/iclr/RenZ023.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/BordelonP23,
  author       = {Blake Bordelon and
                  Cengiz Pehlevan},
  editor       = {Alice Oh and
                  Tristan Naumann and
                  Amir Globerson and
                  Kate Saenko and
                  Moritz Hardt and
                  Sergey Levine},
  title        = {Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean
                  Field Neural Networks},
  booktitle    = {Advances in Neural Information Processing Systems 36: Annual Conference
                  on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans,
                  LA, USA, December 10 - 16, 2023},
  year         = {2023},
  url          = {http://papers.nips.cc/paper\_files/paper/2023/hash/1ec69275e9f002ee068f5d68380f3290-Abstract-Conference.html},
  timestamp    = {Fri, 01 Mar 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/nips/BordelonP23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/MahankaliZDG023,
  author       = {Arvind Mahankali and
                  Haochen Zhang and
                  Kefan Dong and
                  Margalit Glasgow and
                  Tengyu Ma},
  editor       = {Alice Oh and
                  Tristan Naumann and
                  Amir Globerson and
                  Kate Saenko and
                  Moritz Hardt and
                  Sergey Levine},
  title        = {Beyond {NTK} with Vanilla Gradient Descent: {A} Mean-Field Analysis
                  of Neural Networks with Polynomial Width, Samples, and Time},
  booktitle    = {Advances in Neural Information Processing Systems 36: Annual Conference
                  on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans,
                  LA, USA, December 10 - 16, 2023},
  year         = {2023},
  url          = {http://papers.nips.cc/paper\_files/paper/2023/hash/b3748cdac932d91f0a51a37db90dec50-Abstract-Conference.html},
  timestamp    = {Fri, 01 Mar 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/nips/MahankaliZDG023.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wivace/NjougouoCRT23,
  author       = {Thierry Njougouo and
                  Timoteo Carletti and
                  Andreagiovanni Reina and
                  Elio Tuci},
  editor       = {Marco Villani and
                  Stefano Cagnoni and
                  Roberto Serra},
  title        = {Heterogeneous Mean-Field Analysis of Best-of-n Decision Making in
                  Networks with Zealots},
  booktitle    = {Artificial Life and Evolutionary Computation - 17th Italian Workshop,
                  {WIVACE} 2023, Venice, Italy, September 6-8, 2023, Revised Selected
                  Papers},
  series       = {Communications in Computer and Information Science},
  volume       = {1977},
  pages        = {339--351},
  publisher    = {Springer},
  year         = {2023},
  url          = {https://doi.org/10.1007/978-3-031-57430-6\_26},
  doi          = {10.1007/978-3-031-57430-6\_26},
  timestamp    = {Mon, 15 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/wivace/NjougouoCRT23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-03574,
  author       = {Yujie Qin and
                  Mustafa A. Kishk and
                  Mohamed{-}Slim Alouini},
  title        = {A Dominant Interferer plus Mean Field-based Approximation for {SINR}
                  Meta Distribution in Wireless Networks},
  journal      = {CoRR},
  volume       = {abs/2302.03574},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2302.03574},
  doi          = {10.48550/ARXIV.2302.03574},
  eprinttype    = {arXiv},
  eprint       = {2302.03574},
  timestamp    = {Fri, 10 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2302-03574.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-05882,
  author       = {Luca Arnaboldi and
                  Ludovic Stephan and
                  Florent Krzakala and
                  Bruno Loureiro},
  title        = {From high-dimensional {\&} mean-field dynamics to dimensionless
                  ODEs: {A} unifying approach to {SGD} in two-layers networks},
  journal      = {CoRR},
  volume       = {abs/2302.05882},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2302.05882},
  doi          = {10.48550/ARXIV.2302.05882},
  eprinttype    = {arXiv},
  eprint       = {2302.05882},
  timestamp    = {Mon, 05 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2302-05882.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2304-01063,
  author       = {Yunwei Ren and
                  Mo Zhou and
                  Rong Ge},
  title        = {Depth Separation with Multilayer Mean-Field Networks},
  journal      = {CoRR},
  volume       = {abs/2304.01063},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2304.01063},
  doi          = {10.48550/ARXIV.2304.01063},
  eprinttype    = {arXiv},
  eprint       = {2304.01063},
  timestamp    = {Mon, 17 Apr 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2304-01063.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2304-03408,
  author       = {Blake Bordelon and
                  Cengiz Pehlevan},
  title        = {Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean
                  Field Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2304.03408},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2304.03408},
  doi          = {10.48550/ARXIV.2304.03408},
  eprinttype    = {arXiv},
  eprint       = {2304.03408},
  timestamp    = {Thu, 20 Apr 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2304-03408.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-08459,
  author       = {Wenxuan Zou and
                  Haiping Huang},
  title        = {Introduction to dynamical mean-field theory of generic random neural
                  networks},
  journal      = {CoRR},
  volume       = {abs/2305.08459},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2305.08459},
  doi          = {10.48550/ARXIV.2305.08459},
  eprinttype    = {arXiv},
  eprint       = {2305.08459},
  timestamp    = {Wed, 17 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2305-08459.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2306-16361,
  author       = {Arvind Mahankali and
                  Jeff Z. HaoChen and
                  Kefan Dong and
                  Margalit Glasgow and
                  Tengyu Ma},
  title        = {Beyond {NTK} with Vanilla Gradient Descent: {A} Mean-Field Analysis
                  of Neural Networks with Polynomial Width, Samples, and Time},
  journal      = {CoRR},
  volume       = {abs/2306.16361},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2306.16361},
  doi          = {10.48550/ARXIV.2306.16361},
  eprinttype    = {arXiv},
  eprint       = {2306.16361},
  timestamp    = {Mon, 03 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2306-16361.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-02279,
  author       = {Cristina Cipriani and
                  Massimo Fornasier and
                  Alessandro Scagliotti},
  title        = {From NeurODEs to AutoencODEs: a mean-field control framework for width-varying
                  Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2307.02279},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2307.02279},
  doi          = {10.48550/ARXIV.2307.02279},
  eprinttype    = {arXiv},
  eprint       = {2307.02279},
  timestamp    = {Mon, 10 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2307-02279.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2309-04317,
  author       = {Huy{\^{e}}n Pham and
                  Xavier Warin},
  title        = {Actor critic learning algorithms for mean-field control with moment
                  neural networks},
  journal      = {CoRR},
  volume       = {abs/2309.04317},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2309.04317},
  doi          = {10.48550/ARXIV.2309.04317},
  eprinttype    = {arXiv},
  eprint       = {2309.04317},
  timestamp    = {Tue, 12 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2309-04317.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iet-com/YangZZY22,
  author       = {Xiangjiang Yang and
                  Xiaotian Zhou and
                  Haixia Zhang and
                  Dongfeng Yuan},
  title        = {Co-opetitive mean field type game based task offloading strategy in
                  multi-access edge computing networks},
  journal      = {{IET} Commun.},
  volume       = {16},
  number       = {16},
  pages        = {1946--1956},
  year         = {2022},
  url          = {https://doi.org/10.1049/cmu2.12450},
  doi          = {10.1049/CMU2.12450},
  timestamp    = {Sun, 13 Nov 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iet-com/YangZZY22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iotj/NadifSEH22,
  author       = {Sami Nadif and
                  Essaid Sabir and
                  Halima Elbiaze and
                  Abdelkrim Haqiq},
  title        = {Traffic-Aware Mean-Field Power Allocation for Ultradense NB-IoT Networks},
  journal      = {{IEEE} Internet Things J.},
  volume       = {9},
  number       = {21},
  pages        = {21811--21824},
  year         = {2022},
  url          = {https://doi.org/10.1109/JIOT.2022.3182854},
  doi          = {10.1109/JIOT.2022.3182854},
  timestamp    = {Sun, 13 Nov 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iotj/NadifSEH22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcn/LiLYSZPCYH22,
  author       = {Tong Li and
                  Cong Li and
                  Chungang Yang and
                  Junqi Shao and
                  Yue Zhang and
                  Lei Pang and
                  Lizhong Chang and
                  Lingli Yang and
                  Zhu Han},
  title        = {A mean field game-theoretic cross-layer optimization for multi-hop
                  swarm {UAV} communications},
  journal      = {J. Commun. Networks},
  volume       = {24},
  number       = {1},
  pages        = {68--82},
  year         = {2022},
  url          = {https://doi.org/10.23919/JCN.2021.000035},
  doi          = {10.23919/JCN.2021.000035},
  timestamp    = {Thu, 01 Sep 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcn/LiLYSZPCYH22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcns/ChenC22,
  author       = {Liang Chen and
                  Sue Ann Campbell},
  title        = {Exact mean-field models for spiking neural networks with adaptation},
  journal      = {J. Comput. Neurosci.},
  volume       = {50},
  number       = {4},
  pages        = {445--469},
  year         = {2022},
  url          = {https://doi.org/10.1007/s10827-022-00825-9},
  doi          = {10.1007/S10827-022-00825-9},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcns/ChenC22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BretinDMT22,
  author       = {Elie Bretin and
                  Roland Denis and
                  Simon Masnou and
                  Garry Terii},
  title        = {Learning phase field mean curvature flows with neural networks},
  journal      = {J. Comput. Phys.},
  volume       = {470},
  pages        = {111579},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.jcp.2022.111579},
  doi          = {10.1016/J.JCP.2022.111579},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BretinDMT22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/ShevchenkoKM22,
  author       = {Alexander Shevchenko and
                  Vyacheslav Kungurtsev and
                  Marco Mondelli},
  title        = {Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks},
  journal      = {J. Mach. Learn. Res.},
  volume       = {23},
  pages        = {130:1--130:55},
  year         = {2022},
  url          = {http://jmlr.org/papers/v23/21-1365.html},
  timestamp    = {Wed, 07 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jmlr/ShevchenkoKM22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mor/SirignanoS22,
  author       = {Justin A. Sirignano and
                  Konstantinos Spiliopoulos},
  title        = {Mean Field Analysis of Deep Neural Networks},
  journal      = {Math. Oper. Res.},
  volume       = {47},
  number       = {1},
  pages        = {120--152},
  year         = {2022},
  url          = {https://doi.org/10.1287/moor.2020.1118},
  doi          = {10.1287/MOOR.2020.1118},
  timestamp    = {Thu, 25 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mor/SirignanoS22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/Duteil22,
  author       = {Nastassia Pouradier Duteil},
  title        = {Mean-field limit of collective dynamics with time-varying weights},
  journal      = {Networks Heterog. Media},
  volume       = {17},
  number       = {2},
  pages        = {129--161},
  year         = {2022},
  url          = {https://doi.org/10.3934/nhm.2022001},
  doi          = {10.3934/NHM.2022001},
  timestamp    = {Thu, 21 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/Duteil22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ploscb/YuT22,
  author       = {Luyan Yu and
                  Thibaud O. Taillefumier},
  title        = {Metastable spiking networks in the replica-mean-field limit},
  journal      = {PLoS Comput. Biol.},
  volume       = {18},
  number       = {6},
  year         = {2022},
  url          = {https://doi.org/10.1371/journal.pcbi.1010215},
  doi          = {10.1371/JOURNAL.PCBI.1010215},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ploscb/YuT22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/questa/Ramanan22,
  author       = {Kavita Ramanan},
  title        = {Beyond mean-field limits for the analysis of large-scale networks},
  journal      = {Queueing Syst. Theory Appl.},
  volume       = {100},
  number       = {3-4},
  pages        = {345--347},
  year         = {2022},
  url          = {https://doi.org/10.1007/s11134-022-09845-9},
  doi          = {10.1007/S11134-022-09845-9},
  timestamp    = {Fri, 10 Jun 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/questa/Ramanan22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigmetrics/RuuskanenBAC22,
  author       = {Johan Ruuskanen and
                  Tommi Berner and
                  Karl{-}Erik {\AA}rz{\'{e}}n and
                  Anton Cervin},
  title        = {Improving the Mean-Field Fluid Model of Processor Sharing Queueing
                  Networks for Dynamic Performance Models in Cloud Computing},
  journal      = {{SIGMETRICS} Perform. Evaluation Rev.},
  volume       = {49},
  number       = {3},
  pages        = {69--70},
  year         = {2022},
  url          = {https://doi.org/10.1145/3529113.3529138},
  doi          = {10.1145/3529113.3529138},
  timestamp    = {Wed, 31 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sigmetrics/RuuskanenBAC22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tim/LaviadaNL22,
  author       = {Jaime Laviada and
                  Guillermo {\'{A}}lvarez Narciandi and
                  Fernando Las{-}Heras},
  title        = {Artifact Mitigation for High-Resolution Near-Field {SAR} Images by
                  Means of Conditional Generative Adversarial Networks},
  journal      = {{IEEE} Trans. Instrum. Meas.},
  volume       = {71},
  pages        = {1--11},
  year         = {2022},
  url          = {https://doi.org/10.1109/TIM.2022.3200107},
  doi          = {10.1109/TIM.2022.3200107},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tim/LaviadaNL22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/LiQWK22,
  author       = {Man Li and
                  Jiahu Qin and
                  Yaonan Wang and
                  Yu Kang},
  title        = {Bio-Inspired Dynamic Collective Choice in Large-Population Systems:
                  {A} Robust Mean-Field Game Perspective},
  journal      = {{IEEE} Trans. Neural Networks Learn. Syst.},
  volume       = {33},
  number       = {5},
  pages        = {1914--1924},
  year         = {2022},
  url          = {https://doi.org/10.1109/TNNLS.2020.3027428},
  doi          = {10.1109/TNNLS.2020.3027428},
  timestamp    = {Mon, 17 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/LiQWK22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/ZhouX22,
  author       = {Zejian Zhou and
                  Hao Xu},
  title        = {Large-Scale Multiagent System Tracking Control Using Mean Field Games},
  journal      = {{IEEE} Trans. Neural Networks Learn. Syst.},
  volume       = {33},
  number       = {10},
  pages        = {5602--5610},
  year         = {2022},
  url          = {https://doi.org/10.1109/TNNLS.2021.3071109},
  doi          = {10.1109/TNNLS.2021.3071109},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/ZhouX22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnse/GaoLBLHOP22,
  author       = {Hao Gao and
                  Alex Lin and
                  Reginald A. Banez and
                  Wuchen Li and
                  Zhu Han and
                  Stanley J. Osher and
                  H. Vincent Poor},
  title        = {Opinion Evolution in Social Networks: Connecting Mean Field Games
                  to Generative Adversarial Nets},
  journal      = {{IEEE} Trans. Netw. Sci. Eng.},
  volume       = {9},
  number       = {4},
  pages        = {2734--2746},
  year         = {2022},
  url          = {https://doi.org/10.1109/TNSE.2022.3169057},
  doi          = {10.1109/TNSE.2022.3169057},
  timestamp    = {Mon, 25 Jul 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnse/GaoLBLHOP22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tosn/LinLH22,
  author       = {Kai Lin and
                  Jiayi Liu and
                  Guangjie Han},
  title        = {AI-Based Mean Field Game against Resource-Consuming Attacks in Edge
                  Computing},
  journal      = {{ACM} Trans. Sens. Networks},
  volume       = {18},
  number       = {4},
  pages        = {52:1--52:18},
  year         = {2022},
  url          = {https://doi.org/10.1145/3519303},
  doi          = {10.1145/3519303},
  timestamp    = {Sat, 29 Apr 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tosn/LinLH22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsipn/BanezGLYHP22,
  author       = {Reginald A. Banez and
                  Hao Gao and
                  Lixin Li and
                  Chungang Yang and
                  Zhu Han and
                  H. Vincent Poor},
  title        = {Modeling and Analysis of Opinion Dynamics in Social Networks Using
                  Multiple-Population Mean Field Games},
  journal      = {{IEEE} Trans. Signal Inf. Process. over Networks},
  volume       = {8},
  pages        = {301--316},
  year         = {2022},
  url          = {https://doi.org/10.1109/TSIPN.2022.3166102},
  doi          = {10.1109/TSIPN.2022.3166102},
  timestamp    = {Wed, 18 May 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tsipn/BanezGLYHP22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aistats/CokerBBPD22,
  author       = {Beau Coker and
                  Wessel P. Bruinsma and
                  David R. Burt and
                  Weiwei Pan and
                  Finale Doshi{-}Velez},
  editor       = {Gustau Camps{-}Valls and
                  Francisco J. R. Ruiz and
                  Isabel Valera},
  title        = {Wide Mean-Field Bayesian Neural Networks Ignore the Data},
  booktitle    = {International Conference on Artificial Intelligence and Statistics,
                  {AISTATS} 2022, 28-30 March 2022, Virtual Event},
  series       = {Proceedings of Machine Learning Research},
  volume       = {151},
  pages        = {5276--5333},
  publisher    = {{PMLR}},
  year         = {2022},
  url          = {https://proceedings.mlr.press/v151/coker22a.html},
  timestamp    = {Sat, 30 Sep 2023 09:34:08 +0200},
  biburl       = {https://dblp.org/rec/conf/aistats/CokerBBPD22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/globecom/WangM22,
  author       = {Zheng Wang and
                  Brian L. Mark},
  title        = {Hierarchical Mean Field/Stackelberg Game Power Control for {D2D} Cooperative
                  Relaying Networks},
  booktitle    = {{IEEE} Global Communications Conference, {GLOBECOM} 2022, Rio de Janeiro,
                  Brazil, December 4-8, 2022},
  pages        = {2855--2860},
  publisher    = {{IEEE}},
  year         = {2022},
  url          = {https://doi.org/10.1109/GLOBECOM48099.2022.10001036},
  doi          = {10.1109/GLOBECOM48099.2022.10001036},
  timestamp    = {Tue, 17 Jan 2023 08:56:31 +0100},
  biburl       = {https://dblp.org/rec/conf/globecom/WangM22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iccchina/JiangWM22,
  author       = {Pai Jiang and
                  Haibo Wang and
                  Matthieu De Mari},
  title        = {Optimal Dynamic Backoff for Grant-Free {NOMA} IoT Networks: a Mean
                  Field Game Approach},
  booktitle    = {{IEEE/CIC} International Conference on Communications in China, {ICCC}
                  2022, Sanshui, Foshan, China, August 11-13, 2022},
  pages        = {997--1002},
  publisher    = {{IEEE}},
  year         = {2022},
  url          = {https://doi.org/10.1109/ICCC55456.2022.9880632},
  doi          = {10.1109/ICCC55456.2022.9880632},
  timestamp    = {Tue, 04 Oct 2022 22:39:13 +0200},
  biburl       = {https://dblp.org/rec/conf/iccchina/JiangWM22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/infocom/WangWKH22,
  author       = {Dezhi Wang and
                  Wei Wang and
                  Yuhan Kang and
                  Zhu Han},
  title        = {Dynamic Data Offloading for Massive Users in Ultra-dense {LEO} Satellite
                  Networks based on Stackelberg Mean Field Game},
  booktitle    = {{IEEE} {INFOCOM} 2022 - {IEEE} Conference on Computer Communications
                  Workshops, {INFOCOM} 2022 - Workshops, New York, NY, USA, May 2-5,
                  2022},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2022},
  url          = {https://doi.org/10.1109/INFOCOMWKSHPS54753.2022.9798204},
  doi          = {10.1109/INFOCOMWKSHPS54753.2022.9798204},
  timestamp    = {Tue, 28 Jun 2022 08:49:15 +0200},
  biburl       = {https://dblp.org/rec/conf/infocom/WangWKH22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-11670,
  author       = {Beau Coker and
                  Wessel P. Bruinsma and
                  David R. Burt and
                  Weiwei Pan and
                  Finale Doshi{-}Velez},
  title        = {Wide Mean-Field Bayesian Neural Networks Ignore the Data},
  journal      = {CoRR},
  volume       = {abs/2202.11670},
  year         = {2022},
  url          = {https://arxiv.org/abs/2202.11670},
  eprinttype    = {arXiv},
  eprint       = {2202.11670},
  timestamp    = {Wed, 02 Mar 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2202-11670.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-07852,
  author       = {Sami Nadif and
                  Essaid Sabir and
                  Halima Elbiaze and
                  Abdelkrim Haqiq},
  title        = {Traffic-Aware Mean-Field Power Allocation for Ultra-Dense NB-IoT Networks},
  journal      = {CoRR},
  volume       = {abs/2204.07852},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2204.07852},
  doi          = {10.48550/ARXIV.2204.07852},
  eprinttype    = {arXiv},
  eprint       = {2204.07852},
  timestamp    = {Tue, 19 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2204-07852.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-09860,
  author       = {Jingwei Zhang and
                  Xunpeng Huang},
  title        = {Mean-Field Analysis of Two-Layer Neural Networks: Global Optimality
                  with Linear Convergence Rates},
  journal      = {CoRR},
  volume       = {abs/2205.09860},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2205.09860},
  doi          = {10.48550/ARXIV.2205.09860},
  eprinttype    = {arXiv},
  eprint       = {2205.09860},
  timestamp    = {Mon, 23 May 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2205-09860.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2207-01397,
  author       = {Fatimah Al Saleh and
                  Tigran Bakaryan and
                  Diogo A. Gomes and
                  Ricardo Ribeiro},
  title        = {First-order mean-field games on networks and Wardrop equilibrium},
  journal      = {CoRR},
  volume       = {abs/2207.01397},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2207.01397},
  doi          = {10.48550/ARXIV.2207.01397},
  eprinttype    = {arXiv},
  eprint       = {2207.01397},
  timestamp    = {Wed, 06 Jul 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2207-01397.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2210-13879,
  author       = {Alexis Teter and
                  Iman Nodozi and
                  Abhishek Halder},
  title        = {Proximal Mean Field Learning in Shallow Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2210.13879},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2210.13879},
  doi          = {10.48550/ARXIV.2210.13879},
  eprinttype    = {arXiv},
  eprint       = {2210.13879},
  timestamp    = {Mon, 31 Oct 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2210-13879.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2210-16286,
  author       = {Zhengdao Chen and
                  Eric Vanden{-}Eijnden and
                  Joan Bruna},
  title        = {A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer
                  Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2210.16286},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2210.16286},
  doi          = {10.48550/ARXIV.2210.16286},
  eprinttype    = {arXiv},
  eprint       = {2210.16286},
  timestamp    = {Wed, 02 Nov 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2210-16286.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2211-02346,
  author       = {Chris Jones and
                  Karoline Wiesner},
  title        = {Improving mean-field network percolation models with neighbourhood
                  information and their limitations on highly modular, highly dispersed
                  networks},
  journal      = {CoRR},
  volume       = {abs/2211.02346},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2211.02346},
  doi          = {10.48550/ARXIV.2211.02346},
  eprinttype    = {arXiv},
  eprint       = {2211.02346},
  timestamp    = {Thu, 10 Nov 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2211-02346.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:series/wn/BanezLYH21,
  author       = {Reginald A. Banez and
                  Lixin Li and
                  Chungang Yang and
                  Zhu Han},
  title        = {Mean Field Game and its Applications in Wireless Networks},
  series       = {Wireless Networks},
  publisher    = {Springer},
  year         = {2021},
  url          = {https://doi.org/10.1007/978-3-030-86905-2},
  doi          = {10.1007/978-3-030-86905-2},
  isbn         = {978-3-030-86904-5},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/series/wn/BanezLYH21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/complexity/WangLG21,
  author       = {Kai Wang and
                  Xiao Fan Liu and
                  Dongchao Guo},
  title        = {High-Order Mean-Field Approximations for Adaptive Susceptible-Infected-Susceptible
                  Model in Finite-Size Networks},
  journal      = {Complex.},
  volume       = {2021},
  pages        = {6637761:1--6637761:8},
  year         = {2021},
  url          = {https://doi.org/10.1155/2021/6637761},
  doi          = {10.1155/2021/6637761},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/complexity/WangLG21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ett/ChenLWLW21,
  author       = {Jiamei Chen and
                  Xinyue Li and
                  Yao Wang and
                  Yufeng Li and
                  Yupeng Wang},
  title        = {Mixed mean-field power control solution for layered networks},
  journal      = {Trans. Emerg. Telecommun. Technol.},
  volume       = {32},
  number       = {12},
  year         = {2021},
  url          = {https://doi.org/10.1002/ett.4373},
  doi          = {10.1002/ETT.4373},
  timestamp    = {Thu, 21 Mar 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ett/ChenLWLW21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/HuttWVHL21,
  author       = {Axel Hutt and
                  T. Wahl and
                  N. Voges and
                  Jo Hausmann and
                  J{\'{e}}r{\'{e}}mie Lefebvre},
  title        = {Coherence Resonance in Random Erd{\"{o}}s-R{\'{e}}nyi Neural
                  Networks: Mean-Field Theory},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {7},
  pages        = {697904},
  year         = {2021},
  url          = {https://doi.org/10.3389/fams.2021.697904},
  doi          = {10.3389/FAMS.2021.697904},
  timestamp    = {Mon, 06 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/fams/HuttWVHL21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iotj/KangLZLHOP21,
  author       = {Yuhan Kang and
                  Siting Liu and
                  Hongliang Zhang and
                  Wuchen Li and
                  Zhu Han and
                  Stanley J. Osher and
                  H. Vincent Poor},
  title        = {Joint Sensing Task Assignment and Collision-Free Trajectory Optimization
                  for Mobile Vehicle Networks Using Mean-Field Games},
  journal      = {{IEEE} Internet Things J.},
  volume       = {8},
  number       = {10},
  pages        = {8488--8503},
  year         = {2021},
  url          = {https://doi.org/10.1109/JIOT.2020.3047739},
  doi          = {10.1109/JIOT.2020.3047739},
  timestamp    = {Mon, 12 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iotj/KangLZLHOP21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcn/GaoLPHP21,
  author       = {Hao Gao and
                  Wuchen Li and
                  Miao Pan and
                  Zhu Han and
                  H. Vincent Poor},
  title        = {Modeling {COVID-19} with mean field evolutionary dynamics: Social
                  distancing and seasonality},
  journal      = {J. Commun. Networks},
  volume       = {23},
  number       = {5},
  pages        = {314--325},
  year         = {2021},
  url          = {https://doi.org/10.23919/JCN.2021.000032},
  doi          = {10.23919/JCN.2021.000032},
  timestamp    = {Sat, 09 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcn/GaoLPHP21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pe/RuuskanenBAC21,
  author       = {Johan Ruuskanen and
                  Tommi Berner and
                  Karl{-}Erik {\AA}rz{\'{e}}n and
                  Anton Cervin},
  title        = {Improving the mean-field fluid model of processor sharing queueing
                  networks for dynamic performance models in cloud computing},
  journal      = {Perform. Evaluation},
  volume       = {151},
  pages        = {102231},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.peva.2021.102231},
  doi          = {10.1016/J.PEVA.2021.102231},
  timestamp    = {Sat, 25 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/pe/RuuskanenBAC21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamads/BaccelliT21,
  author       = {Fran{\c{c}}ois Baccelli and
                  Thibaud O. Taillefumier},
  title        = {The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks},
  journal      = {{SIAM} J. Appl. Dyn. Syst.},
  volume       = {20},
  number       = {1},
  pages        = {165--207},
  year         = {2021},
  url          = {https://doi.org/10.1137/20M1331664},
  doi          = {10.1137/20M1331664},
  timestamp    = {Fri, 10 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/siamads/BaccelliT21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/BarreDOZ21,
  author       = {Julien Barr{\'{e}} and
                  Paul Dobson and
                  Michela Ottobre and
                  Ewelina Zatorska},
  title        = {Fast Non-mean-field Networks: Uniform in Time Averaging},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {53},
  number       = {1},
  pages        = {937--972},
  year         = {2021},
  url          = {https://doi.org/10.1137/20M1328646},
  doi          = {10.1137/20M1328646},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/BarreDOZ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/BertottiM21,
  author       = {Maria Letizia Bertotti and
                  Giovanni Modanese},
  title        = {Comparison of Simulations with a Mean-Field Approach vs. Synthetic
                  Correlated Networks},
  journal      = {Symmetry},
  volume       = {13},
  number       = {1},
  pages        = {141},
  year         = {2021},
  url          = {https://doi.org/10.3390/sym13010141},
  doi          = {10.3390/SYM13010141},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/symmetry/BertottiM21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcns/WuWHS21,
  author       = {Yuchi Wu and
                  Junfeng Wu and
                  Minyi Huang and
                  Ling Shi},
  title        = {Mean-Field Transmission Power Control in Dense Networks},
  journal      = {{IEEE} Trans. Control. Netw. Syst.},
  volume       = {8},
  number       = {1},
  pages        = {99--110},
  year         = {2021},
  url          = {https://doi.org/10.1109/TCNS.2020.3035762},
  doi          = {10.1109/TCNS.2020.3035762},
  timestamp    = {Tue, 23 Mar 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tcns/WuWHS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsg/WeiQD21,
  author       = {Boyuan Wei and
                  Zhifeng Qiu and
                  Geert Deconinck},
  title        = {A Mean-Field Voltage Control Approach for Active Distribution Networks
                  With Uncertainties},
  journal      = {{IEEE} Trans. Smart Grid},
  volume       = {12},
  number       = {2},
  pages        = {1455--1466},
  year         = {2021},
  url          = {https://doi.org/10.1109/TSG.2020.3033702},
  doi          = {10.1109/TSG.2020.3033702},
  timestamp    = {Tue, 23 Mar 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tsg/WeiQD21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/LiWXCWCPH21,
  author       = {Lixin Li and
                  Meng Wang and
                  Kaiyuan Xue and
                  Qianqian Cheng and
                  Dawei Wang and
                  Wei Chen and
                  Miao Pan and
                  Zhu Han},
  title        = {Delay Optimization in Multi-UAV Edge Caching Networks: {A} Robust
                  Mean Field Game},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {70},
  number       = {1},
  pages        = {808--819},
  year         = {2021},
  url          = {https://doi.org/10.1109/TVT.2020.3045509},
  doi          = {10.1109/TVT.2020.3045509},
  timestamp    = {Mon, 09 Oct 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvt/LiWXCWCPH21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/ZhangZL21,
  author       = {Yaomin Zhang and
                  Haijun Zhang and
                  Keping Long},
  title        = {Energy Efficient Resource Allocation in Cache Based Terahertz Vehicular
                  Networks: {A} Mean-Field Game Approach},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {70},
  number       = {6},
  pages        = {5275--5285},
  year         = {2021},
  url          = {https://doi.org/10.1109/TVT.2021.3056127},
  doi          = {10.1109/TVT.2021.3056127},
  timestamp    = {Thu, 16 Sep 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvt/ZhangZL21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/LiCTBCDH21,
  author       = {Lixin Li and
                  Qianqian Cheng and
                  Xiao Tang and
                  Tong Bai and
                  Wei Chen and
                  Zhiguo Ding and
                  Zhu Han},
  title        = {Resource Allocation for {NOMA-MEC} Systems in Ultra-Dense Networks:
                  {A} Learning Aided Mean-Field Game Approach},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {20},
  number       = {3},
  pages        = {1487--1500},
  year         = {2021},
  url          = {https://doi.org/10.1109/TWC.2020.3033843},
  doi          = {10.1109/TWC.2020.3033843},
  timestamp    = {Thu, 02 Nov 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/twc/LiCTBCDH21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/WangWHZ21,
  author       = {Dezhi Wang and
                  Wei Wang and
                  Zhu Han and
                  Zhaoyang Zhang},
  title        = {Delay Optimal Random Access With Heterogeneous Device Capabilities
                  in Energy Harvesting Networks Using Mean Field Game},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {20},
  number       = {9},
  pages        = {5543--5557},
  year         = {2021},
  url          = {https://doi.org/10.1109/TWC.2021.3068315},
  doi          = {10.1109/TWC.2021.3068315},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/twc/WangWHZ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/ZhengWMCCQ21,
  author       = {Renjun Zheng and
                  Haibo Wang and
                  Matthieu De Mari and
                  Miao Cui and
                  Xiaoli Chu and
                  Tony Q. S. Quek},
  title        = {Dynamic Computation Offloading in Ultra-Dense Networks Based on Mean
                  Field Games},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {20},
  number       = {10},
  pages        = {6551--6565},
  year         = {2021},
  url          = {https://doi.org/10.1109/TWC.2021.3075028},
  doi          = {10.1109/TWC.2021.3075028},
  timestamp    = {Wed, 03 Nov 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/twc/ZhengWMCCQ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/colt/FangLYZ21,
  author       = {Cong Fang and
                  Jason D. Lee and
                  Pengkun Yang and
                  Tong Zhang},
  editor       = {Mikhail Belkin and
                  Samory Kpotufe},
  title        = {Modeling from Features: a Mean-field Framework for Over-parameterized
                  Deep Neural Networks},
  booktitle    = {Conference on Learning Theory, {COLT} 2021, 15-19 August 2021, Boulder,
                  Colorado, {USA}},
  series       = {Proceedings of Machine Learning Research},
  volume       = {134},
  pages        = {1887--1936},
  publisher    = {{PMLR}},
  year         = {2021},
  url          = {http://proceedings.mlr.press/v134/fang21a.html},
  timestamp    = {Thu, 27 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/colt/FangLYZ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/complexnetworks/PansanellaRM21,
  author       = {Valentina Pansanella and
                  Giulio Rossetti and
                  Letizia Milli},
  editor       = {Rosa Mar{\'{\i}}a Benito and
                  Chantal Cherifi and
                  Hocine Cherifi and
                  Esteban Moro and
                  Luis M. Rocha and
                  Marta Sales{-}Pardo},
  title        = {From Mean-Field to Complex Topologies: Network Effects on the Algorithmic
                  Bias Model},
  booktitle    = {Complex Networks {\&} Their Applications {X} - Volume 2, Proceedings
                  of the Tenth International Conference on Complex Networks and Their
                  Applications {COMPLEX} {NETWORKS} 2021, Madrid, Spain, November 30
                  - December 2, 2021},
  series       = {Studies in Computational Intelligence},
  volume       = {1016},
  pages        = {329--340},
  publisher    = {Springer},
  year         = {2021},
  url          = {https://doi.org/10.1007/978-3-030-93413-2\_28},
  doi          = {10.1007/978-3-030-93413-2\_28},
  timestamp    = {Mon, 26 Jun 2023 20:46:27 +0200},
  biburl       = {https://dblp.org/rec/conf/complexnetworks/PansanellaRM21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icc/GaoLBLHOP21,
  author       = {Hao Gao and
                  Alex Tong Lin and
                  Reginald A. Banez and
                  Wuchen Li and
                  Zhu Han and
                  Stanley J. Osher and
                  H. Vincent Poor},
  title        = {Belief and Opinion Evolution in Social Networks: {A} High-Dimensional
                  Mean Field Game Approach},
  booktitle    = {{ICC} 2021 - {IEEE} International Conference on Communications, Montreal,
                  QC, Canada, June 14-23, 2021},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2021},
  url          = {https://doi.org/10.1109/ICC42927.2021.9500884},
  doi          = {10.1109/ICC42927.2021.9500884},
  timestamp    = {Thu, 23 Jun 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/icc/GaoLBLHOP21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iclr/AgazziL21,
  author       = {Andrea Agazzi and
                  Jianfeng Lu},
  title        = {Global optimality of softmax policy gradient with single hidden layer
                  neural networks in the mean-field regime},
  booktitle    = {9th International Conference on Learning Representations, {ICLR} 2021,
                  Virtual Event, Austria, May 3-7, 2021},
  publisher    = {OpenReview.net},
  year         = {2021},
  url          = {https://openreview.net/forum?id=bB2drc7DPuB},
  timestamp    = {Wed, 23 Jun 2021 17:36:39 +0200},
  biburl       = {https://dblp.org/rec/conf/iclr/AgazziL21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iclr/PhamN21,
  author       = {Huy Tuan Pham and
                  Phan{-}Minh Nguyen},
  title        = {Global Convergence of Three-layer Neural Networks in the Mean Field
                  Regime},
  booktitle    = {9th International Conference on Learning Representations, {ICLR} 2021,
                  Virtual Event, Austria, May 3-7, 2021},
  publisher    = {OpenReview.net},
  year         = {2021},
  url          = {https://openreview.net/forum?id=KvyxFqZS\_D},
  timestamp    = {Wed, 23 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/iclr/PhamN21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iconip/Poc-LopezA21,
  author       = {{\'{A}}ngel Poc{-}L{\'{o}}pez and
                  Miguel Aguilera},
  editor       = {Teddy Mantoro and
                  Minho Lee and
                  Media Anugerah Ayu and
                  Kok Wai Wong and
                  Achmad Nizar Hidayanto},
  title        = {Inference in Neural Networks Using Conditional Mean-Field Methods},
  booktitle    = {Neural Information Processing - 28th International Conference, {ICONIP}
                  2021, Sanur, Bali, Indonesia, December 8-12, 2021, Proceedings, Part
                  {II}},
  series       = {Lecture Notes in Computer Science},
  volume       = {13109},
  pages        = {228--237},
  publisher    = {Springer},
  year         = {2021},
  url          = {https://doi.org/10.1007/978-3-030-92270-2\_20},
  doi          = {10.1007/978-3-030-92270-2\_20},
  timestamp    = {Sat, 08 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/iconip/Poc-LopezA21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ijcnn/ZhouZX21,
  author       = {Zejian Zhou and
                  Yuzhu Zhang and
                  Hao Xu},
  title        = {Reinforcement Learning-based Decentralized Optimal Control for Large-Scale
                  Multi-agent System by Using Neural Networks and Discrete-time Mean
                  Field Games},
  booktitle    = {International Joint Conference on Neural Networks, {IJCNN} 2021, Shenzhen,
                  China, July 18-22, 2021},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2021},
  url          = {https://doi.org/10.1109/IJCNN52387.2021.9534288},
  doi          = {10.1109/IJCNN52387.2021.9534288},
  timestamp    = {Mon, 20 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/ijcnn/ZhouZX21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/PhamN21,
  author       = {Huy Tuan Pham and
                  Phan{-}Minh Nguyen},
  editor       = {Marc'Aurelio Ranzato and
                  Alina Beygelzimer and
                  Yann N. Dauphin and
                  Percy Liang and
                  Jennifer Wortman Vaughan},
  title        = {Limiting fluctuation and trajectorial stability of multilayer neural
                  networks with mean field training},
  booktitle    = {Advances in Neural Information Processing Systems 34: Annual Conference
                  on Neural Information Processing Systems 2021, NeurIPS 2021, December
                  6-14, 2021, virtual},
  pages        = {4843--4855},
  year         = {2021},
  url          = {https://proceedings.neurips.cc/paper/2021/hash/2639ba2137371773aa1e64e7735cdb30-Abstract.html},
  timestamp    = {Tue, 03 May 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/PhamN21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2101-09644,
  author       = {Anirudh Sridhar and
                  Soummya Kar},
  title        = {Mean-field Approximation for Stochastic Population Processes in Networks
                  under Imperfect Information},
  journal      = {CoRR},
  volume       = {abs/2101.09644},
  year         = {2021},
  url          = {https://arxiv.org/abs/2101.09644},
  eprinttype    = {arXiv},
  eprint       = {2101.09644},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2101-09644.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-05228,
  author       = {Huy Tuan Pham and
                  Phan{-}Minh Nguyen},
  title        = {Global Convergence of Three-layer Neural Networks in the Mean Field
                  Regime},
  journal      = {CoRR},
  volume       = {abs/2105.05228},
  year         = {2021},
  url          = {https://arxiv.org/abs/2105.05228},
  eprinttype    = {arXiv},
  eprint       = {2105.05228},
  timestamp    = {Fri, 14 May 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2105-05228.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2106-07052,
  author       = {Beau Coker and
                  Weiwei Pan and
                  Finale Doshi{-}Velez},
  title        = {Wide Mean-Field Variational Bayesian Neural Networks Ignore the Data},
  journal      = {CoRR},
  volume       = {abs/2106.07052},
  year         = {2021},
  url          = {https://arxiv.org/abs/2106.07052},
  eprinttype    = {arXiv},
  eprint       = {2106.07052},
  timestamp    = {Wed, 16 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2106-07052.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2107-13945,
  author       = {Xiang Li and
                  Mauro Mobilia and
                  Alastair M. Rucklidge and
                  R. K. P. Zia},
  title        = {Effects of homophily and heterophily on preferred-degree networks:
                  mean-field analysis and overwhelming transition},
  journal      = {CoRR},
  volume       = {abs/2107.13945},
  year         = {2021},
  url          = {https://arxiv.org/abs/2107.13945},
  eprinttype    = {arXiv},
  eprint       = {2107.13945},
  timestamp    = {Tue, 03 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2107-13945.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-08725,
  author       = {Chao Ma and
                  Lexing Ying},
  title        = {A Riemannian Mean Field Formulation for Two-layer Neural Networks
                  with Batch Normalization},
  journal      = {CoRR},
  volume       = {abs/2110.08725},
  year         = {2021},
  url          = {https://arxiv.org/abs/2110.08725},
  eprinttype    = {arXiv},
  eprint       = {2110.08725},
  timestamp    = {Fri, 22 Oct 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2110-08725.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-15954,
  author       = {Huy Tuan Pham and
                  Phan{-}Minh Nguyen},
  title        = {Limiting fluctuation and trajectorial stability of multilayer neural
                  networks with mean field training},
  journal      = {CoRR},
  volume       = {abs/2110.15954},
  year         = {2021},
  url          = {https://arxiv.org/abs/2110.15954},
  eprinttype    = {arXiv},
  eprint       = {2110.15954},
  timestamp    = {Tue, 02 Nov 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2110-15954.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-02278,
  author       = {Alexander Shevchenko and
                  Vyacheslav Kungurtsev and
                  Marco Mondelli},
  title        = {Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks},
  journal      = {CoRR},
  volume       = {abs/2111.02278},
  year         = {2021},
  url          = {https://arxiv.org/abs/2111.02278},
  eprinttype    = {arXiv},
  eprint       = {2111.02278},
  timestamp    = {Fri, 05 Nov 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2111-02278.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2112-07343,
  author       = {Elie Bretin and
                  Roland Denis and
                  Simon Masnou and
                  Garry Terii},
  title        = {Learning phase field mean curvature flows with neural networks},
  journal      = {CoRR},
  volume       = {abs/2112.07343},
  year         = {2021},
  url          = {https://arxiv.org/abs/2112.07343},
  eprinttype    = {arXiv},
  eprint       = {2112.07343},
  timestamp    = {Mon, 03 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2112-07343.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iotj/LarranagaDAT20,
  author       = {Maialen Larra{\~{n}}aga and
                  Juwendo Denis and
                  Mohamad Assaad and
                  Koen De Turck},
  title        = {Energy-Efficient Distributed Transmission Scheme for {MTC} in Dense
                  Wireless Networks: {A} Mean-Field Approach},
  journal      = {{IEEE} Internet Things J.},
  volume       = {7},
  number       = {1},
  pages        = {477--490},
  year         = {2020},
  url          = {https://doi.org/10.1109/JIOT.2019.2948169},
  doi          = {10.1109/JIOT.2019.2948169},
  timestamp    = {Sun, 25 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/iotj/LarranagaDAT20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mia/SelvanKWJPPB20,
  author       = {Raghavendra Selvan and
                  Thomas Kipf and
                  Max Welling and
                  Antonio Garcia{-}Uceda Juarez and
                  Jesper Holst Pedersen and
                  Jens Petersen and
                  Marleen de Bruijne},
  title        = {Graph refinement based airway extraction using mean-field networks
                  and graph neural networks},
  journal      = {Medical Image Anal.},
  volume       = {64},
  pages        = {101751},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.media.2020.101751},
  doi          = {10.1016/J.MEDIA.2020.101751},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/mia/SelvanKWJPPB20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/GastSK20,
  author       = {Richard Gast and
                  Helmut Schmidt and
                  Thomas R. Kn{\"{o}}sche},
  title        = {A Mean-Field Description of Bursting Dynamics in Spiking Neural Networks
                  with Short-Term Adaptation},
  journal      = {Neural Comput.},
  volume       = {32},
  number       = {9},
  pages        = {1615--1634},
  year         = {2020},
  url          = {https://doi.org/10.1162/neco\_a\_01300},
  doi          = {10.1162/NECO\_A\_01300},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/neco/GastSK20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/GomesMT20,
  author       = {Diogo A. Gomes and
                  Hiroyoshi Mitake and
                  Kengo Terai},
  title        = {The selection problem for some first-order stationary Mean-field games},
  journal      = {Networks Heterog. Media},
  volume       = {15},
  number       = {4},
  pages        = {681--710},
  year         = {2020},
  url          = {https://doi.org/10.3934/nhm.2020019},
  doi          = {10.3934/NHM.2020019},
  timestamp    = {Mon, 22 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nhm/GomesMT20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/HertyPV20,
  author       = {Michael Herty and
                  Lorenzo Pareschi and
                  Giuseppe Visconti},
  title        = {Mean field models for large data-clustering problems},
  journal      = {Networks Heterog. Media},
  volume       = {15},
  number       = {3},
  pages        = {463--487},
  year         = {2020},
  url          = {https://doi.org/10.3934/nhm.2020027},
  doi          = {10.3934/NHM.2020027},
  timestamp    = {Wed, 16 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/HertyPV20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/ZhengJYHLT20,
  author       = {Yajing Zheng and
                  Shanshan Jia and
                  Zhaofei Yu and
                  Tiejun Huang and
                  Jian K. Liu and
                  Yonghong Tian},
  title        = {Probabilistic inference of binary Markov random fields in spiking
                  neural networks through mean-field approximation},
  journal      = {Neural Networks},
  volume       = {126},
  pages        = {42--51},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.neunet.2020.03.003},
  doi          = {10.1016/J.NEUNET.2020.03.003},
  timestamp    = {Thu, 02 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/ZhengJYHLT20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/SirignanoS20,
  author       = {Justin A. Sirignano and
                  Konstantinos Spiliopoulos},
  title        = {Mean Field Analysis of Neural Networks: {A} Law of Large Numbers},
  journal      = {{SIAM} J. Appl. Math.},
  volume       = {80},
  number       = {2},
  pages        = {725--752},
  year         = {2020},
  url          = {https://doi.org/10.1137/18M1192184},
  doi          = {10.1137/18M1192184},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamam/SirignanoS20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tai/WojtowytschE20,
  author       = {Stephan Wojtowytsch and
                  Weinan E},
  title        = {Can Shallow Neural Networks Beat the Curse of Dimensionality? {A}
                  Mean Field Training Perspective},
  journal      = {{IEEE} Trans. Artif. Intell.},
  volume       = {1},
  number       = {2},
  pages        = {121--129},
  year         = {2020},
  url          = {https://doi.org/10.1109/TAI.2021.3051357},
  doi          = {10.1109/TAI.2021.3051357},
  timestamp    = {Thu, 16 Sep 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tai/WojtowytschE20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/JiangHBZY20,
  author       = {Yanxiang Jiang and
                  Yabai Hu and
                  Mehdi Bennis and
                  Fu{-}Chun Zheng and
                  Xiaohu You},
  title        = {A Mean Field Game-Based Distributed Edge Caching in Fog Radio Access
                  Networks},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {68},
  number       = {3},
  pages        = {1567--1580},
  year         = {2020},
  url          = {https://doi.org/10.1109/TCOMM.2019.2961081},
  doi          = {10.1109/TCOMM.2019.2961081},
  timestamp    = {Fri, 30 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/JiangHBZY20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/NarasimhaSY20,
  author       = {Dheeraj Narasimha and
                  Srinivas Shakkottai and
                  Lei Ying},
  title        = {A Mean Field Game Analysis of Distributed {MAC} in Ultra-Dense Multichannel
                  Wireless Networks},
  journal      = {{IEEE/ACM} Trans. Netw.},
  volume       = {28},
  number       = {5},
  pages        = {1939--1952},
  year         = {2020},
  url          = {https://doi.org/10.1109/TNET.2020.3002912},
  doi          = {10.1109/TNET.2020.3002912},
  timestamp    = {Mon, 02 Oct 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ton/NarasimhaSY20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/KimPBKD20,
  author       = {Hyesung Kim and
                  Jihong Park and
                  Mehdi Bennis and
                  Seong{-}Lyun Kim and
                  M{\'{e}}rouane Debbah},
  title        = {Mean-Field Game Theoretic Edge Caching in Ultra-Dense Networks},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {69},
  number       = {1},
  pages        = {935--947},
  year         = {2020},
  url          = {https://doi.org/10.1109/TVT.2019.2953132},
  doi          = {10.1109/TVT.2019.2953132},
  timestamp    = {Thu, 25 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvt/KimPBKD20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/BanezTLYSHP20,
  author       = {Reginald A. Banez and
                  Hamidou Tembine and
                  Lixin Li and
                  Chungang Yang and
                  Lingyang Song and
                  Zhu Han and
                  H. Vincent Poor},
  title        = {Mean-Field-Type Game-Based Computation Offloading in Multi-Access
                  Edge Computing Networks},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {19},
  number       = {12},
  pages        = {8366--8381},
  year         = {2020},
  url          = {https://doi.org/10.1109/TWC.2020.3021907},
  doi          = {10.1109/TWC.2020.3021907},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/twc/BanezTLYSHP20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ecai/HuangXDZZ20,
  author       = {Wei Huang and
                  Richard Yi Da Xu and
                  Weitao Du and
                  Yutian Zeng and
                  Yunce Zhao},
  editor       = {Giuseppe De Giacomo and
                  Alejandro Catal{\'{a}} and
                  Bistra Dilkina and
                  Michela Milano and
                  Sen{\'{e}}n Barro and
                  Alberto Bugar{\'{\i}}n and
                  J{\'{e}}r{\^{o}}me Lang},
  title        = {Mean Field Theory for Deep Dropout Networks: Digging up Gradient Backpropagation
                  Deeply},
  booktitle    = {{ECAI} 2020 - 24th European Conference on Artificial Intelligence,
                  29 August-8 September 2020, Santiago de Compostela, Spain, August
                  29 - September 8, 2020 - Including 10th Conference on Prestigious
                  Applications of Artificial Intelligence {(PAIS} 2020)},
  series       = {Frontiers in Artificial Intelligence and Applications},
  volume       = {325},
  pages        = {1215--1222},
  publisher    = {{IOS} Press},
  year         = {2020},
  url          = {https://doi.org/10.3233/FAIA200221},
  doi          = {10.3233/FAIA200221},
  timestamp    = {Thu, 04 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/ecai/HuangXDZZ20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/globecom/ZhangHP20,
  author       = {Hongliang Zhang and
                  Zhu Han and
                  H. Vincent Poor},
  title        = {Trajectory Optimization for UAV-to-Device Underlaid Cellular Networks
                  by Mean-Field-Type Control},
  booktitle    = {{IEEE} Global Communications Conference, {GLOBECOM} 2020, Virtual
                  Event, Taiwan, December 7-11, 2020},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2020},
  url          = {https://doi.org/10.1109/GLOBECOM42002.2020.9322086},
  doi          = {10.1109/GLOBECOM42002.2020.9322086},
  timestamp    = {Mon, 12 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/globecom/ZhangHP20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icc/BanezGLYHP20,
  author       = {Reginald A. Banez and
                  Hao Gao and
                  Lixin Li and
                  Chungang Yang and
                  Zhu Han and
                  H. Vincent Poor},
  title        = {Belief and Opinion Evolution in Social Networks Based on a Multi-Population
                  Mean Field Game Approach},
  booktitle    = {2020 {IEEE} International Conference on Communications, {ICC} 2020,
                  Dublin, Ireland, June 7-11, 2020},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2020},
  url          = {https://doi.org/10.1109/ICC40277.2020.9148985},
  doi          = {10.1109/ICC40277.2020.9148985},
  timestamp    = {Thu, 23 Jun 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/icc/BanezGLYHP20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/SwiatkowskiRVTD20,
  author       = {Jakub Swiatkowski and
                  Kevin Roth and
                  Bastiaan S. Veeling and
                  Linh Tran and
                  Joshua V. Dillon and
                  Jasper Snoek and
                  Stephan Mandt and
                  Tim Salimans and
                  Rodolphe Jenatton and
                  Sebastian Nowozin},
  title        = {The k-tied Normal Distribution: {A} Compact Parameterization of Gaussian
                  Mean Field Posteriors in Bayesian Neural Networks},
  booktitle    = {Proceedings of the 37th International Conference on Machine Learning,
                  {ICML} 2020, 13-18 July 2020, Virtual Event},
  series       = {Proceedings of Machine Learning Research},
  volume       = {119},
  pages        = {9289--9299},
  publisher    = {{PMLR}},
  year         = {2020},
  url          = {http://proceedings.mlr.press/v119/swiatkowski20a.html},
  timestamp    = {Tue, 15 Dec 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/icml/SwiatkowskiRVTD20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2001-11443,
  author       = {Phan{-}Minh Nguyen and
                  Huy Tuan Pham},
  title        = {A Rigorous Framework for the Mean Field Limit of Multilayer Neural
                  Networks},
  journal      = {CoRR},
  volume       = {abs/2001.11443},
  year         = {2020},
  url          = {https://arxiv.org/abs/2001.11443},
  eprinttype    = {arXiv},
  eprint       = {2001.11443},
  timestamp    = {Mon, 03 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2001-11443.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-02655,
  author       = {Jakub Swiatkowski and
                  Kevin Roth and
                  Bastiaan S. Veeling and
                  Linh Tran and
                  Joshua V. Dillon and
                  Stephan Mandt and
                  Jasper Snoek and
                  Tim Salimans and
                  Rodolphe Jenatton and
                  Sebastian Nowozin},
  title        = {The k-tied Normal Distribution: {A} Compact Parameterization of Gaussian
                  Mean Field Posteriors in Bayesian Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2002.02655},
  year         = {2020},
  url          = {https://arxiv.org/abs/2002.02655},
  eprinttype    = {arXiv},
  eprint       = {2002.02655},
  timestamp    = {Mon, 10 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2002-02655.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-03704,
  author       = {Sebastian Farquhar and
                  Lewis Smith and
                  Yarin Gal},
  title        = {Try Depth Instead of Weight Correlations: Mean-field is a Less Restrictive
                  Assumption for Deeper Networks},
  journal      = {CoRR},
  volume       = {abs/2002.03704},
  year         = {2020},
  url          = {https://arxiv.org/abs/2002.03704},
  eprinttype    = {arXiv},
  eprint       = {2002.03704},
  timestamp    = {Wed, 12 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2002-03704.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-04026,
  author       = {Zixiang Chen and
                  Yuan Cao and
                  Quanquan Gu and
                  Tong Zhang},
  title        = {Mean-Field Analysis of Two-Layer Neural Networks: Non-Asymptotic Rates
                  and Generalization Bounds},
  journal      = {CoRR},
  volume       = {abs/2002.04026},
  year         = {2020},
  url          = {https://arxiv.org/abs/2002.04026},
  eprinttype    = {arXiv},
  eprint       = {2002.04026},
  timestamp    = {Wed, 13 Jan 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2002-04026.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-10113,
  author       = {Alex Tong Lin and
                  Samy Wu Fung and
                  Wuchen Li and
                  Levon Nurbekyan and
                  Stanley J. Osher},
  title        = {APAC-Net: Alternating the Population and Agent Control via Two Neural
                  Networks to Solve High-Dimensional Stochastic Mean Field Games},
  journal      = {CoRR},
  volume       = {abs/2002.10113},
  year         = {2020},
  url          = {https://arxiv.org/abs/2002.10113},
  eprinttype    = {arXiv},
  eprint       = {2002.10113},
  timestamp    = {Tue, 03 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2002-10113.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-02457,
  author       = {Giovanni Conforti and
                  Anna Kazeykina and
                  Zhenjie Ren},
  title        = {Game on Random Environment, Mean-field Langevin System and Neural
                  Networks},
  journal      = {CoRR},
  volume       = {abs/2004.02457},
  year         = {2020},
  url          = {https://arxiv.org/abs/2004.02457},
  eprinttype    = {arXiv},
  eprint       = {2004.02457},
  timestamp    = {Tue, 28 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2004-02457.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-10815,
  author       = {Stephan Wojtowytsch and
                  Weinan E},
  title        = {Can Shallow Neural Networks Beat the Curse of Dimensionality? {A}
                  mean field training perspective},
  journal      = {CoRR},
  volume       = {abs/2005.10815},
  year         = {2020},
  url          = {https://arxiv.org/abs/2005.10815},
  eprinttype    = {arXiv},
  eprint       = {2005.10815},
  timestamp    = {Fri, 22 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2005-10815.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-13530,
  author       = {Stephan Wojtowytsch},
  title        = {On the Convergence of Gradient Descent Training for Two-layer ReLU-networks
                  in the Mean Field Regime},
  journal      = {CoRR},
  volume       = {abs/2005.13530},
  year         = {2020},
  url          = {https://arxiv.org/abs/2005.13530},
  eprinttype    = {arXiv},
  eprint       = {2005.13530},
  timestamp    = {Fri, 29 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2005-13530.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2006-09355,
  author       = {Huy Tuan Pham and
                  Phan{-}Minh Nguyen},
  title        = {A Note on the Global Convergence of Multilayer Neural Networks in
                  the Mean Field Regime},
  journal      = {CoRR},
  volume       = {abs/2006.09355},
  year         = {2020},
  url          = {https://arxiv.org/abs/2006.09355},
  eprinttype    = {arXiv},
  eprint       = {2006.09355},
  timestamp    = {Wed, 17 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2006-09355.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2006-13295,
  author       = {Matthijs Ruijgrok},
  title        = {A critique of the Mean Field Approximation in preferential attachment
                  networks},
  journal      = {CoRR},
  volume       = {abs/2006.13295},
  year         = {2020},
  url          = {https://arxiv.org/abs/2006.13295},
  eprinttype    = {arXiv},
  eprint       = {2006.13295},
  timestamp    = {Thu, 02 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2006-13295.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2007-01452,
  author       = {Cong Fang and
                  Jason D. Lee and
                  Pengkun Yang and
                  Tong Zhang},
  title        = {Modeling from Features: a Mean-field Framework for Over-parameterized
                  Deep Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2007.01452},
  year         = {2020},
  url          = {https://arxiv.org/abs/2007.01452},
  eprinttype    = {arXiv},
  eprint       = {2007.01452},
  timestamp    = {Thu, 03 Dec 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2007-01452.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2010-11858,
  author       = {Andrea Agazzi and
                  Jianfeng Lu},
  title        = {Global optimality of softmax policy gradient with single hidden layer
                  neural networks in the mean-field regime},
  journal      = {CoRR},
  volume       = {abs/2010.11858},
  year         = {2020},
  url          = {https://arxiv.org/abs/2010.11858},
  eprinttype    = {arXiv},
  eprint       = {2010.11858},
  timestamp    = {Tue, 27 Oct 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2010-11858.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2012-15477,
  author       = {Atsushi Nitanda and
                  Denny Wu and
                  Taiji Suzuki},
  title        = {Particle Dual Averaging: Optimization of Mean Field Neural Networks
                  with Global Convergence Rate Analysis},
  journal      = {CoRR},
  volume       = {abs/2012.15477},
  year         = {2020},
  url          = {https://arxiv.org/abs/2012.15477},
  eprinttype    = {arXiv},
  eprint       = {2012.15477},
  timestamp    = {Fri, 08 Jan 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2012-15477.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/hal/Chen19a,
  author       = {Rui Chen},
  title        = {Dynamic optimal control for distress large financial networks and
                  Mean field systems with jumps. (Contr{\^{o}}le stochastique de syst{\`{e}}mes
                  {\`{a}} champs moyens et applications au contr{\^{o}}le du risque
                  syst{\'{e}}mique)},
  school       = {Paris Dauphine University, France},
  year         = {2019},
  url          = {https://tel.archives-ouvertes.fr/tel-02434108},
  timestamp    = {Thu, 17 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/phd/hal/Chen19a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/hal/Gabrie19,
  author       = {Marylou Gabri{\'{e}}},
  title        = {Towards an understanding of neural networks: mean-field incursions.
                  ({\'{E}}l{\'{e}}ments de compr{\'{e}}hension des r{\'{e}}seaux
                  de neurones pour l'apprentissage automatique par m{\'{e}}thodes
                  de champ moyen)},
  school       = {Paris Sciences et lettres University, France},
  year         = {2019},
  url          = {https://tel.archives-ouvertes.fr/tel-02921539},
  timestamp    = {Tue, 03 Nov 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/phd/hal/Gabrie19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/Barreiro-GomezT19b,
  author       = {Julian Barreiro{-}Gomez and
                  Hamidou Tembine},
  title        = {Mean-Field-Type Model Predictive Control: An Application to Water
                  Distribution Networks},
  journal      = {{IEEE} Access},
  volume       = {7},
  pages        = {135332--135339},
  year         = {2019},
  url          = {https://doi.org/10.1109/ACCESS.2019.2940761},
  doi          = {10.1109/ACCESS.2019.2940761},
  timestamp    = {Thu, 28 Nov 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/access/Barreiro-GomezT19b.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/compnet/NiranjanSA19,
  author       = {Utkarsh Niranjan and
                  Anurag Singh and
                  Ramesh Kumar Agrawal},
  title        = {A mean-field-theoretic model for dual information propagation in networks},
  journal      = {J. Complex Networks},
  volume       = {7},
  number       = {4},
  pages        = {585--602},
  year         = {2019},
  url          = {https://doi.org/10.1093/comnet/cny033},
  doi          = {10.1093/COMNET/CNY033},
  timestamp    = {Fri, 28 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/compnet/NiranjanSA19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijdsn/MiaoWLXZ19,
  author       = {Li Miao and
                  Lina Wang and
                  Shuai Li and
                  Haitao Xu and
                  Xianwei Zhou},
  title        = {Optimal defense strategy based on the mean field game model for cyber
                  security},
  journal      = {Int. J. Distributed Sens. Networks},
  volume       = {15},
  number       = {2},
  year         = {2019},
  url          = {https://doi.org/10.1177/1550147719831180},
  doi          = {10.1177/1550147719831180},
  timestamp    = {Fri, 15 Dec 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ijdsn/MiaoWLXZ19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/VoloRCD19,
  author       = {Matteo di Volo and
                  Alberto Romagnoni and
                  Cristiano Capone and
                  Alain Destexhe},
  title        = {Biologically Realistic Mean-Field Models of Conductance-Based Networks
                  of Spiking Neurons with Adaptation},
  journal      = {Neural Comput.},
  volume       = {31},
  number       = {4},
  year         = {2019},
  url          = {https://doi.org/10.1162/neco\_a\_01173},
  doi          = {10.1162/NECO\_A\_01173},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/neco/VoloRCD19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/AchdouDLT19,
  author       = {Yves Achdou and
                  Manh{-}Khang Dao and
                  Olivier Ley and
                  Nicoletta Tchou},
  title        = {A class of infinite horizon mean field games on networks},
  journal      = {Networks Heterog. Media},
  volume       = {14},
  number       = {3},
  pages        = {537--566},
  year         = {2019},
  url          = {https://doi.org/10.3934/nhm.2019021},
  doi          = {10.3934/NHM.2019021},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/AchdouDLT19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamads/BaccelliT19,
  author       = {Fran{\c{c}}ois Baccelli and
                  Thibaud O. Taillefumier},
  title        = {Replica-Mean-Field Limits for Intensity-Based Neural Networks},
  journal      = {{SIAM} J. Appl. Dyn. Syst.},
  volume       = {18},
  number       = {4},
  pages        = {1756--1797},
  year         = {2019},
  url          = {https://doi.org/10.1137/19M1243877},
  doi          = {10.1137/19M1243877},
  timestamp    = {Fri, 10 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/siamads/BaccelliT19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/telsys/KhaliqAASA19,
  author       = {Saim Bin Abdul Khaliq and
                  Muhammad Faisal Amjad and
                  Haider Abbas and
                  Narmeen Shafqat and
                  Hammad Afzal},
  title        = {Defence against {PUE} attacks in ad hoc cognitive radio networks:
                  a mean field game approach},
  journal      = {Telecommun. Syst.},
  volume       = {70},
  number       = {1},
  pages        = {123--140},
  year         = {2019},
  url          = {https://doi.org/10.1007/s11235-018-0472-y},
  doi          = {10.1007/S11235-018-0472-Y},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/telsys/KhaliqAASA19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgcn/GeJZXLV19,
  author       = {Xiaohu Ge and
                  Haoming Jia and
                  Yi Zhong and
                  Yong Xiao and
                  Yonghui Li and
                  Branka Vucetic},
  title        = {Energy Efficient Optimization of Wireless-Powered 5G Full Duplex Cellular
                  Networks: {A} Mean Field Game Approach},
  journal      = {{IEEE} Trans. Green Commun. Netw.},
  volume       = {3},
  number       = {2},
  pages        = {455--467},
  year         = {2019},
  url          = {https://doi.org/10.1109/TGCN.2019.2904093},
  doi          = {10.1109/TGCN.2019.2904093},
  timestamp    = {Thu, 18 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tgcn/GeJZXLV19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tits/GaoT19,
  author       = {Jian Gao and
                  Hamidou Tembine},
  title        = {Distributed Mean-Field-Type Filters for Traffic Networks},
  journal      = {{IEEE} Trans. Intell. Transp. Syst.},
  volume       = {20},
  number       = {2},
  pages        = {507--521},
  year         = {2019},
  url          = {https://doi.org/10.1109/TITS.2018.2816811},
  doi          = {10.1109/TITS.2018.2816811},
  timestamp    = {Tue, 24 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tits/GaoT19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/ZhangYLH19,
  author       = {Yue Zhang and
                  Chungang Yang and
                  Jiandong Li and
                  Zhu Han},
  title        = {Distributed Interference-Aware Traffic Offloading and Power Control
                  in Ultra-Dense Networks: Mean Field Game With Dominating Player},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {68},
  number       = {9},
  pages        = {8814--8826},
  year         = {2019},
  url          = {https://doi.org/10.1109/TVT.2019.2929227},
  doi          = {10.1109/TVT.2019.2929227},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tvt/ZhangYLH19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aistats/KarakidaAA19,
  author       = {Ryo Karakida and
                  Shotaro Akaho and
                  Shun{-}ichi Amari},
  editor       = {Kamalika Chaudhuri and
                  Masashi Sugiyama},
  title        = {Universal Statistics of Fisher Information in Deep Neural Networks:
                  Mean Field Approach},
  booktitle    = {The 22nd International Conference on Artificial Intelligence and Statistics,
                  {AISTATS} 2019, 16-18 April 2019, Naha, Okinawa, Japan},
  series       = {Proceedings of Machine Learning Research},
  volume       = {89},
  pages        = {1032--1041},
  publisher    = {{PMLR}},
  year         = {2019},
  url          = {http://proceedings.mlr.press/v89/karakida19a.html},
  timestamp    = {Fri, 07 Jun 2019 09:03:47 +0200},
  biburl       = {https://dblp.org/rec/conf/aistats/KarakidaAA19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/GomesMS19,
  author       = {Diogo A. Gomes and
                  Diego Marcon and
                  Fatimah Al Saleh},
  title        = {The current method for stationary mean-field games on networks},
  booktitle    = {58th {IEEE} Conference on Decision and Control, {CDC} 2019, Nice,
                  France, December 11-13, 2019},
  pages        = {305--310},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/CDC40024.2019.9029982},
  doi          = {10.1109/CDC40024.2019.9029982},
  timestamp    = {Fri, 04 Mar 2022 13:30:46 +0100},
  biburl       = {https://dblp.org/rec/conf/cdc/GomesMS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/ZhouX19,
  author       = {Zejian Zhou and
                  Hao Xu},
  title        = {Decentralized Adaptive Optimal Control for Massive Multi-agent Systems
                  Using Mean Field Game with Self-Organizing Neural Networks},
  booktitle    = {58th {IEEE} Conference on Decision and Control, {CDC} 2019, Nice,
                  France, December 11-13, 2019},
  pages        = {1225--1230},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/CDC40024.2019.9029540},
  doi          = {10.1109/CDC40024.2019.9029540},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cdc/ZhouX19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/colt/MeiMM19,
  author       = {Song Mei and
                  Theodor Misiakiewicz and
                  Andrea Montanari},
  editor       = {Alina Beygelzimer and
                  Daniel Hsu},
  title        = {Mean-field theory of two-layers neural networks: dimension-free bounds
                  and kernel limit},
  booktitle    = {Conference on Learning Theory, {COLT} 2019, 25-28 June 2019, Phoenix,
                  AZ, {USA}},
  series       = {Proceedings of Machine Learning Research},
  volume       = {99},
  pages        = {2388--2464},
  publisher    = {{PMLR}},
  year         = {2019},
  url          = {http://proceedings.mlr.press/v99/mei19a.html},
  timestamp    = {Mon, 08 Jul 2019 16:13:41 +0200},
  biburl       = {https://dblp.org/rec/conf/colt/MeiMM19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/econvn/DjehicheBT19,
  author       = {Boualem Djehiche and
                  Julian Barreiro{-}Gomez and
                  Hamidou Tembine},
  editor       = {Vladik Kreinovich and
                  Nguyen Ngoc Thach and
                  Nguyen Duc Trung and
                  Dang Van Thanh},
  title        = {Mean-Field-Type Games for Blockchain-Based Distributed Power Networks},
  booktitle    = {Beyond Traditional Probabilistic Methods in Economics, {ECONVN} 2019,
                  International Econometric Conference of Vietnam, Ho Chi Minh City,
                  Vietnam, 14-16 January, 2019},
  series       = {Studies in Computational Intelligence},
  volume       = {809},
  pages        = {45--64},
  publisher    = {Springer},
  year         = {2019},
  url          = {https://doi.org/10.1007/978-3-030-04200-4\_3},
  doi          = {10.1007/978-3-030-04200-4\_3},
  timestamp    = {Sun, 12 Nov 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/econvn/DjehicheBT19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/embc/TodorovT19,
  author       = {Dmitrii Todorov and
                  Wilson Truccolo},
  title        = {Stability of stochastic finite-size spiking-neuron networks: Comparing
                  mean-field, 1-loop correction and quasi-renewal approximations},
  booktitle    = {41st Annual International Conference of the {IEEE} Engineering in
                  Medicine and Biology Society, {EMBC} 2019, Berlin, Germany, July 23-27,
                  2019},
  pages        = {4380--4386},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/EMBC.2019.8857101},
  doi          = {10.1109/EMBC.2019.8857101},
  timestamp    = {Sat, 05 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/embc/TodorovT19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icc/BanezLYSH19,
  author       = {Reginald A. Banez and
                  Lixin Li and
                  Chungang Yang and
                  Lingyang Song and
                  Zhu Han},
  title        = {A Mean-Field-Type Game Approach to Computation Offloading in Mobile
                  Edge Computing Networks},
  booktitle    = {2019 {IEEE} International Conference on Communications, {ICC} 2019,
                  Shanghai, China, May 20-24, 2019},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/ICC.2019.8761282},
  doi          = {10.1109/ICC.2019.8761282},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/icc/BanezLYSH19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icsc2/NguyenN0W19,
  author       = {Son Luu Nguyen and
                  Dung T. Nguyen and
                  George Yin and
                  Le Yi Wang},
  title        = {Modeling and Controls of Large-Scale Switching Diffusion Networks
                  with Mean-Field Interactions},
  booktitle    = {8th International Conference on Systems and Control, {ICSC} 2019,
                  Marrakesh, Morocco, October 23-25, 2019},
  pages        = {321--326},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/ICSC47195.2019.8950514},
  doi          = {10.1109/ICSC47195.2019.8950514},
  timestamp    = {Fri, 26 Aug 2022 11:38:09 +0200},
  biburl       = {https://dblp.org/rec/conf/icsc2/NguyenN0W19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mobihoc/NarasimhaSY19,
  author       = {Dheeraj Narasimha and
                  Srinivas Shakkottai and
                  Lei Ying},
  title        = {A Mean Field Game Analysis of Distributed {MAC} in Ultra-Dense Multichannel
                  Wireless Networks},
  booktitle    = {Proceedings of the Twentieth {ACM} International Symposium on Mobile
                  Ad Hoc Networking and Computing, Mobihoc 2019, Catania, Italy, July
                  2-5, 2019},
  pages        = {1--10},
  publisher    = {{ACM}},
  year         = {2019},
  url          = {https://doi.org/10.1145/3323679.3326498},
  doi          = {10.1145/3323679.3326498},
  timestamp    = {Mon, 02 Oct 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/mobihoc/NarasimhaSY19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/BlumenfeldGS19,
  author       = {Yaniv Blumenfeld and
                  Dar Gilboa and
                  Daniel Soudry},
  editor       = {Hanna M. Wallach and
                  Hugo Larochelle and
                  Alina Beygelzimer and
                  Florence d'Alch{\'{e}}{-}Buc and
                  Emily B. Fox and
                  Roman Garnett},
  title        = {A Mean Field Theory of Quantized Deep Networks: The Quantization-Depth
                  Trade-Off},
  booktitle    = {Advances in Neural Information Processing Systems 32: Annual Conference
                  on Neural Information Processing Systems 2019, NeurIPS 2019, December
                  8-14, 2019, Vancouver, BC, Canada},
  pages        = {7036--7046},
  year         = {2019},
  url          = {https://proceedings.neurips.cc/paper/2019/hash/38ef4b66cb25e92abe4d594acb841471-Abstract.html},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/BlumenfeldGS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wcsp/ChengLXRL0H19,
  author       = {Qianqian Cheng and
                  Lixin Li and
                  Kaiyuan Xue and
                  Huan Ren and
                  Xu Li and
                  Wei Chen and
                  Zhu Han},
  title        = {Beam-Steering Optimization in Multi-UAVs mmWave Networks: {A} Mean
                  Field Game Approach},
  booktitle    = {11th International Conference on Wireless Communications and Signal
                  Processing, {WCSP} 2019, Xi'an, China, October 23-25, 2019},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/WCSP.2019.8927962},
  doi          = {10.1109/WCSP.2019.8927962},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wcsp/ChengLXRL0H19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wcsp/MkiramweniYLLH19,
  author       = {Mbazingwa Elirehema Mkiramweni and
                  Chungang Yang and
                  Jiandong Li and
                  Lixin Li and
                  Zhu Han},
  title        = {Interference and Energy Management for Dense Aerial Access Networks:
                  {A} Mean Field Game Approach},
  booktitle    = {11th International Conference on Wireless Communications and Signal
                  Processing, {WCSP} 2019, Xi'an, China, October 23-25, 2019},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/WCSP.2019.8927924},
  doi          = {10.1109/WCSP.2019.8927924},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wcsp/MkiramweniYLLH19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wocc/XueLYZLH19,
  author       = {Kaiyuan Xue and
                  Lixin Li and
                  Fucheng Yang and
                  Huisheng Zhang and
                  Xu Li and
                  Zhu Han},
  title        = {Multi-UAV Delay Optimization in Edge Caching Networks: {A} Mean Field
                  Game Approach},
  booktitle    = {28th Wireless and Optical Communications Conference, {WOCC} 2019,
                  Beijing, China, May 9-10, 2019},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/WOCC.2019.8770639},
  doi          = {10.1109/WOCC.2019.8770639},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wocc/XueLYZLH19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1902-02880,
  author       = {Phan{-}Minh Nguyen},
  title        = {Mean Field Limit of the Learning Dynamics of Multilayer Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1902.02880},
  year         = {2019},
  url          = {http://arxiv.org/abs/1902.02880},
  eprinttype    = {arXiv},
  eprint       = {1902.02880},
  timestamp    = {Tue, 21 May 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1902-02880.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1902-06015,
  author       = {Song Mei and
                  Theodor Misiakiewicz and
                  Andrea Montanari},
  title        = {Mean-field theory of two-layers neural networks: dimension-free bounds
                  and kernel limit},
  journal      = {CoRR},
  volume       = {abs/1902.06015},
  year         = {2019},
  url          = {http://arxiv.org/abs/1902.06015},
  eprinttype    = {arXiv},
  eprint       = {1902.06015},
  timestamp    = {Tue, 21 May 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1902-06015.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1902-08411,
  author       = {Yajing Zheng and
                  Zhaofei Yu and
                  Shanshan Jia and
                  Jian K. Liu and
                  Tiejun Huang and
                  Yonghong Tian},
  title        = {Probabilistic Inference of Binary Markov Random Fields in Spiking
                  Neural Networks through Mean-field Approximation},
  journal      = {CoRR},
  volume       = {abs/1902.08411},
  year         = {2019},
  url          = {http://arxiv.org/abs/1902.08411},
  eprinttype    = {arXiv},
  eprint       = {1902.08411},
  timestamp    = {Thu, 02 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1902-08411.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1903-02721,
  author       = {Xiaohu Ge and
                  Haoming Jia and
                  Yi Zhong and
                  Yong Xiao and
                  Yonghui Li and
                  Branka Vucetic},
  title        = {Energy Efficient Optimization of Wireless-powered 5G Full Duplex Cellular
                  Networks: {A} Mean Field Game Approach},
  journal      = {CoRR},
  volume       = {abs/1903.02721},
  year         = {2019},
  url          = {http://arxiv.org/abs/1903.02721},
  eprinttype    = {arXiv},
  eprint       = {1903.02721},
  timestamp    = {Thu, 23 May 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1903-02721.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1906-00771,
  author       = {Yaniv Blumenfeld and
                  Dar Gilboa and
                  Daniel Soudry},
  title        = {A Mean Field Theory of Quantized Deep Networks: The Quantization-Depth
                  Trade-Off},
  journal      = {CoRR},
  volume       = {abs/1906.00771},
  year         = {2019},
  url          = {http://arxiv.org/abs/1906.00771},
  eprinttype    = {arXiv},
  eprint       = {1906.00771},
  timestamp    = {Fri, 14 Jun 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1906-00771.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1909-07278,
  author       = {Kaitong Hu and
                  Anna Kazeykina and
                  Zhenjie Ren},
  title        = {Mean-field Langevin System, Optimal Control and Deep Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1909.07278},
  year         = {2019},
  url          = {http://arxiv.org/abs/1909.07278},
  eprinttype    = {arXiv},
  eprint       = {1909.07278},
  timestamp    = {Tue, 24 Sep 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1909-07278.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1909-11820,
  author       = {Masoud Badiei Khuzani and
                  Liyue Shen and
                  Shahin Shahrampour and
                  Lei Xing},
  title        = {A Mean-Field Theory for Kernel Alignment with Random Features in Generative
                  Adversarial Networks},
  journal      = {CoRR},
  volume       = {abs/1909.11820},
  year         = {2019},
  url          = {http://arxiv.org/abs/1909.11820},
  eprinttype    = {arXiv},
  eprint       = {1909.11820},
  timestamp    = {Tue, 07 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1909-11820.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-00890,
  author       = {Marylou Gabri{\'{e}}},
  title        = {Mean-field inference methods for neural networks},
  journal      = {CoRR},
  volume       = {abs/1911.00890},
  year         = {2019},
  url          = {http://arxiv.org/abs/1911.00890},
  eprinttype    = {arXiv},
  eprint       = {1911.00890},
  timestamp    = {Mon, 11 Nov 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1911-00890.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-05421,
  author       = {Yuchi Wu and
                  Junfeng Wu and
                  Minyi Huang and
                  Ling Shi},
  title        = {Mean-Field Transmission Power Control in Dense Networks, Part {I}
                  - Characterization of the Equilibrium Strategy},
  journal      = {CoRR},
  volume       = {abs/1911.05421},
  year         = {2019},
  url          = {http://arxiv.org/abs/1911.05421},
  eprinttype    = {arXiv},
  eprint       = {1911.05421},
  timestamp    = {Tue, 20 Oct 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1911-05421.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-09132,
  author       = {Wei Huang and
                  Richard Yi Da Xu and
                  Weitao Du and
                  Yutian Zeng and
                  Yunce Zhao},
  title        = {Mean field theory for deep dropout networks: digging up gradient backpropagation
                  deeply},
  journal      = {CoRR},
  volume       = {abs/1912.09132},
  year         = {2019},
  url          = {http://arxiv.org/abs/1912.09132},
  eprinttype    = {arXiv},
  eprint       = {1912.09132},
  timestamp    = {Thu, 04 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1912-09132.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-05426,
  title        = {Mean-Field Transmission Power Control in Dense Networks, Part {II}
                  - Social Welfare Evaluation},
  journal      = {CoRR},
  volume       = {abs/1911.05426},
  year         = {2019},
  note         = {Withdrawn.},
  url          = {http://arxiv.org/abs/1911.05426},
  eprinttype    = {arXiv},
  eprint       = {1911.05426},
  timestamp    = {Fri, 05 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1911-05426.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/YangDLZH18,
  author       = {Chungang Yang and
                  Haoxiang Dai and
                  Jiandong Li and
                  Yue Zhang and
                  Zhu Han},
  title        = {Distributed Interference-Aware Power Control in Ultra-Dense Small
                  Cell Networks: {A} Robust Mean Field Game},
  journal      = {{IEEE} Access},
  volume       = {6},
  pages        = {12608--12619},
  year         = {2018},
  url          = {https://doi.org/10.1109/ACCESS.2018.2799138},
  doi          = {10.1109/ACCESS.2018.2799138},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/access/YangDLZH18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcns/ZerlautCCD18,
  author       = {Yann Zerlaut and
                  Sandrine Chemla and
                  Fr{\'{e}}d{\'{e}}ric Chavane and
                  Alain Destexhe},
  title        = {Modeling mesoscopic cortical dynamics using a mean-field model of
                  conductance-based networks of adaptive exponential integrate-and-fire
                  neurons},
  journal      = {J. Comput. Neurosci.},
  volume       = {44},
  number       = {1},
  pages        = {45--61},
  year         = {2018},
  url          = {https://doi.org/10.1007/s10827-017-0668-2},
  doi          = {10.1007/S10827-017-0668-2},
  timestamp    = {Thu, 16 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcns/ZerlautCCD18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/YangX18,
  author       = {Junyuan Yang and
                  Fei Xu},
  title        = {Global stability of two {SIS} epidemic mean-field models on complex
                  networks: Lyapunov functional approach},
  journal      = {J. Frankl. Inst.},
  volume       = {355},
  number       = {14},
  pages        = {6763--6779},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.jfranklin.2018.06.040},
  doi          = {10.1016/J.JFRANKLIN.2018.06.040},
  timestamp    = {Sun, 12 Nov 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jfi/YangX18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/HaKPZ18,
  author       = {Seung{-}Yeal Ha and
                  Jeongho Kim and
                  Jinyeong Park and
                  Xiongtao Zhang},
  title        = {Uniform stability and mean-field limit for the augmented Kuramoto
                  model},
  journal      = {Networks Heterog. Media},
  volume       = {13},
  number       = {2},
  pages        = {297--322},
  year         = {2018},
  url          = {https://doi.org/10.3934/nhm.2018013},
  doi          = {10.3934/NHM.2018013},
  timestamp    = {Mon, 13 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nhm/HaKPZ18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tompecs/LiXGMSSX18,
  author       = {Jian Li and
                  Bainan Xia and
                  Xinbo Geng and
                  Hao Ming and
                  Srinivas Shakkottai and
                  Vijay G. Subramanian and
                  Le Xie},
  title        = {Mean Field Games in Nudge Systems for Societal Networks},
  journal      = {{ACM} Trans. Model. Perform. Evaluation Comput. Syst.},
  volume       = {3},
  number       = {4},
  pages        = {15:1--15:31},
  year         = {2018},
  url          = {https://doi.org/10.1145/3232076},
  doi          = {10.1145/3232076},
  timestamp    = {Wed, 17 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tompecs/LiXGMSSX18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/wc/YangLSAX18,
  author       = {Chungang Yang and
                  Jiandong Li and
                  Min Sheng and
                  Alagan Anpalagan and
                  Jia Xiao},
  title        = {Mean Field Game-Theoretic Framework for Interference and Energy-Aware
                  Control in 5G Ultra-Dense Networks},
  journal      = {{IEEE} Wirel. Commun.},
  volume       = {25},
  number       = {1},
  pages        = {114--121},
  year         = {2018},
  url          = {https://doi.org/10.1109/MWC.2017.1600114},
  doi          = {10.1109/MWC.2017.1600114},
  timestamp    = {Tue, 29 Dec 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/wc/YangLSAX18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/apsipa/ZhangLLLH18,
  author       = {Zihe Zhang and
                  Lixin Li and
                  Xiaomin Liu and
                  Wei Liang and
                  Zhu Han},
  title        = {Matching-Based Resource Allocation and Distributed Power Control Using
                  Mean Field Game in the NOMA-Based {UAV} Networks},
  booktitle    = {Asia-Pacific Signal and Information Processing Association Annual
                  Summit and Conference, {APSIPA} {ASC} 2018, Honolulu, HI, USA, November
                  12-15, 2018},
  pages        = {420--426},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.23919/APSIPA.2018.8659478},
  doi          = {10.23919/APSIPA.2018.8659478},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/apsipa/ZhangLLLH18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/BaharlooAA18,
  author       = {Mohammad M. Baharloo and
                  Jalal Arabneydi and
                  Amir G. Aghdam},
  title        = {Near-Optimal Control Strategy in Leader-Follower Networks: {A} Case
                  Study for Linear Quadratic Mean-Field Teams},
  booktitle    = {57th {IEEE} Conference on Decision and Control, {CDC} 2018, Miami,
                  FL, USA, December 17-19, 2018},
  pages        = {3288--3293},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.1109/CDC.2018.8619211},
  doi          = {10.1109/CDC.2018.8619211},
  timestamp    = {Fri, 04 Mar 2022 13:30:11 +0100},
  biburl       = {https://dblp.org/rec/conf/cdc/BaharlooAA18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/ChenPS18,
  author       = {Minmin Chen and
                  Jeffrey Pennington and
                  Samuel S. Schoenholz},
  editor       = {Jennifer G. Dy and
                  Andreas Krause},
  title        = {Dynamical Isometry and a Mean Field Theory of RNNs: Gating Enables
                  Signal Propagation in Recurrent Neural Networks},
  booktitle    = {Proceedings of the 35th International Conference on Machine Learning,
                  {ICML} 2018, Stockholmsm{\"{a}}ssan, Stockholm, Sweden, July
                  10-15, 2018},
  series       = {Proceedings of Machine Learning Research},
  volume       = {80},
  pages        = {872--881},
  publisher    = {{PMLR}},
  year         = {2018},
  url          = {http://proceedings.mlr.press/v80/chen18i.html},
  timestamp    = {Wed, 03 Apr 2019 18:17:30 +0200},
  biburl       = {https://dblp.org/rec/conf/icml/ChenPS18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/XiaoBSSP18,
  author       = {Lechao Xiao and
                  Yasaman Bahri and
                  Jascha Sohl{-}Dickstein and
                  Samuel S. Schoenholz and
                  Jeffrey Pennington},
  editor       = {Jennifer G. Dy and
                  Andreas Krause},
  title        = {Dynamical Isometry and a Mean Field Theory of CNNs: How to Train 10,
                  000-Layer Vanilla Convolutional Neural Networks},
  booktitle    = {Proceedings of the 35th International Conference on Machine Learning,
                  {ICML} 2018, Stockholmsm{\"{a}}ssan, Stockholm, Sweden, July
                  10-15, 2018},
  series       = {Proceedings of Machine Learning Research},
  volume       = {80},
  pages        = {5389--5398},
  publisher    = {{PMLR}},
  year         = {2018},
  url          = {http://proceedings.mlr.press/v80/xiao18a.html},
  timestamp    = {Wed, 03 Apr 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/icml/XiaoBSSP18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/KawamotoTO18,
  author       = {Tatsuro Kawamoto and
                  Masashi Tsubaki and
                  Tomoyuki Obuchi},
  editor       = {Samy Bengio and
                  Hanna M. Wallach and
                  Hugo Larochelle and
                  Kristen Grauman and
                  Nicol{\`{o}} Cesa{-}Bianchi and
                  Roman Garnett},
  title        = {Mean-field theory of graph neural networks in graph partitioning},
  booktitle    = {Advances in Neural Information Processing Systems 31: Annual Conference
                  on Neural Information Processing Systems 2018, NeurIPS 2018, December
                  3-8, 2018, Montr{\'{e}}al, Canada},
  pages        = {4366--4376},
  year         = {2018},
  url          = {https://proceedings.neurips.cc/paper/2018/hash/f6e794a75c5d51de081dbefa224304f9-Abstract.html},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/KawamotoTO18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/vtc/HuJBZ18,
  author       = {Yabai Hu and
                  Yanxiang Jiang and
                  Mehdi Bennis and
                  Fu{-}Chun Zheng},
  title        = {Distributed Edge Caching in Ultra-Dense Fog Radio Access Networks:
                  {A} Mean Field Approach},
  booktitle    = {88th {IEEE} Vehicular Technology Conference, {VTC} Fall 2018, Chicago,
                  IL, USA, August 27-30, 2018},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.1109/VTCFall.2018.8690593},
  doi          = {10.1109/VTCFALL.2018.8690593},
  timestamp    = {Mon, 03 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/vtc/HuJBZ18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wcsp/ZhangLLLGCH18,
  author       = {Zihe Zhang and
                  Lixin Li and
                  Wei Liang and
                  Xu Li and
                  Ang Gao and
                  Wei Chen and
                  Zhu Han},
  title        = {Downlink Interference Management in Dense Drone Small Cells Networks
                  Using Mean-Field Game Theory},
  booktitle    = {10th International Conference on Wireless Communications and Signal
                  Processing, {WCSP} 2018, Hangzhou, China, October 18-20, 2018},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.1109/WCSP.2018.8555533},
  doi          = {10.1109/WCSP.2018.8555533},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wcsp/ZhangLLLGCH18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wiopt/NguyenBP18,
  author       = {Thi Thu Hang Nguyen and
                  Olivier Brun and
                  Balakrishna J. Prabhu},
  title        = {Mean-field limit of the fixed-reward incentive mechanism in delay
                  tolerant networks},
  booktitle    = {16th International Symposium on Modeling and Optimization in Mobile,
                  Ad Hoc, and Wireless Networks, WiOpt 2018, Shanghai, China, May 7-11,
                  2018},
  pages        = {1--8},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://dl.ifip.org/db/conf/wiopt/wiopt2018/1570417438.pdf},
  doi          = {10.23919/WIOPT.2018.8362810},
  timestamp    = {Mon, 28 Aug 2023 21:17:48 +0200},
  biburl       = {https://dblp.org/rec/conf/wiopt/NguyenBP18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1801-07367,
  author       = {Hyesung Kim and
                  Jihong Park and
                  Mehdi Bennis and
                  Seong{-}Lyun Kim and
                  M{\'{e}}rouane Debbah},
  title        = {Mean-Field Game Theoretic Edge Caching in Ultra-Dense Networks},
  journal      = {CoRR},
  volume       = {abs/1801.07367},
  year         = {2018},
  url          = {http://arxiv.org/abs/1801.07367},
  eprinttype    = {arXiv},
  eprint       = {1801.07367},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1801-07367.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1802-03435,
  author       = {Leonardo Stella and
                  Dario Bauso},
  title        = {Mean-field Games for Bio-inspired Collective Decision-making in Dynamical
                  Networks},
  journal      = {CoRR},
  volume       = {abs/1802.03435},
  year         = {2018},
  url          = {http://arxiv.org/abs/1802.03435},
  eprinttype    = {arXiv},
  eprint       = {1802.03435},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1802-03435.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1804-06561,
  author       = {Song Mei and
                  Andrea Montanari and
                  Phan{-}Minh Nguyen},
  title        = {A Mean Field View of the Landscape of Two-Layers Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1804.06561},
  year         = {2018},
  url          = {http://arxiv.org/abs/1804.06561},
  eprinttype    = {arXiv},
  eprint       = {1804.06561},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1804-06561.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-01316,
  author       = {Ryo Karakida and
                  Shotaro Akaho and
                  Shun{-}ichi Amari},
  title        = {Universal Statistics of Fisher Information in Deep Neural Networks:
                  Mean Field Approach},
  journal      = {CoRR},
  volume       = {abs/1806.01316},
  year         = {2018},
  url          = {http://arxiv.org/abs/1806.01316},
  eprinttype    = {arXiv},
  eprint       = {1806.01316},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1806-01316.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-05393,
  author       = {Lechao Xiao and
                  Yasaman Bahri and
                  Jascha Sohl{-}Dickstein and
                  Samuel S. Schoenholz and
                  Jeffrey Pennington},
  title        = {Dynamical Isometry and a Mean Field Theory of CNNs: How to Train 10,
                  000-Layer Vanilla Convolutional Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1806.05393},
  year         = {2018},
  url          = {http://arxiv.org/abs/1806.05393},
  eprinttype    = {arXiv},
  eprint       = {1806.05393},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1806-05393.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-05394,
  author       = {Minmin Chen and
                  Jeffrey Pennington and
                  Samuel S. Schoenholz},
  title        = {Dynamical Isometry and a Mean Field Theory of RNNs: Gating Enables
                  Signal Propagation in Recurrent Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1806.05394},
  year         = {2018},
  url          = {http://arxiv.org/abs/1806.05394},
  eprinttype    = {arXiv},
  eprint       = {1806.05394},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1806-05394.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-09076,
  author       = {Yabai Hu and
                  Yanxiang Jiang and
                  Mehdi Bennis and
                  Fu{-}Chun Zheng},
  title        = {Distributed Edge Caching in Ultra-dense Fog Radio Access Networks:
                  {A} Mean Field Approach},
  journal      = {CoRR},
  volume       = {abs/1806.09076},
  year         = {2018},
  url          = {http://arxiv.org/abs/1806.09076},
  eprinttype    = {arXiv},
  eprint       = {1806.09076},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1806-09076.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1810-11908,
  author       = {Tatsuro Kawamoto and
                  Masashi Tsubaki and
                  Tomoyuki Obuchi},
  title        = {Mean-field theory of graph neural networks in graph partitioning},
  journal      = {CoRR},
  volume       = {abs/1810.11908},
  year         = {2018},
  url          = {http://arxiv.org/abs/1810.11908},
  eprinttype    = {arXiv},
  eprint       = {1810.11908},
  timestamp    = {Wed, 31 Oct 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1810-11908.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1811-08674,
  author       = {Raghavendra Selvan and
                  Thomas N. Kipf and
                  Max Welling and
                  Jesper Holst Pedersen and
                  Jens Petersen and
                  Marleen de Bruijne},
  title        = {Graph Refinement based Tree Extraction using Mean-Field Networks and
                  Graph Neural Networks},
  journal      = {CoRR},
  volume       = {abs/1811.08674},
  year         = {2018},
  url          = {http://arxiv.org/abs/1811.08674},
  eprinttype    = {arXiv},
  eprint       = {1811.08674},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1811-08674.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1812-05598,
  author       = {Mucong Ding and
                  Kwok Yip Szeto},
  title        = {First-passage time distribution for random walks on complex networks
                  using inverse Laplace transform and mean-field approximation},
  journal      = {CoRR},
  volume       = {abs/1812.05598},
  year         = {2018},
  url          = {http://arxiv.org/abs/1812.05598},
  eprinttype    = {arXiv},
  eprint       = {1812.05598},
  timestamp    = {Thu, 03 Jan 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1812-05598.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/MaghsudiH17,
  author       = {Setareh Maghsudi and
                  Ekram Hossain},
  title        = {Distributed User Association in Energy Harvesting Dense Small Cell
                  Networks: {A} Mean-Field Multi-Armed Bandit Approach},
  journal      = {{IEEE} Access},
  volume       = {5},
  pages        = {3513--3523},
  year         = {2017},
  url          = {https://doi.org/10.1109/ACCESS.2017.2676166},
  doi          = {10.1109/ACCESS.2017.2676166},
  timestamp    = {Tue, 23 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/access/MaghsudiH17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/icl/DadlaniKMK17,
  author       = {Aresh Dadlani and
                  Muthukrishnan Senthil Kumar and
                  Manikanta Gowtham Maddi and
                  Kiseon Kim},
  title        = {Mean-Field Dynamics of Inter-Switching Memes Competing Over Multiplex
                  Social Networks},
  journal      = {{IEEE} Commun. Lett.},
  volume       = {21},
  number       = {5},
  pages        = {967--970},
  year         = {2017},
  url          = {https://doi.org/10.1109/LCOMM.2017.2651815},
  doi          = {10.1109/LCOMM.2017.2651815},
  timestamp    = {Thu, 20 Aug 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/icl/DadlaniKMK17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijdsn/MiaoL17,
  author       = {Li Miao and
                  Shuai Li},
  title        = {Cyber security based on mean field game model of the defender: Attacker
                  strategies},
  journal      = {Int. J. Distributed Sens. Networks},
  volume       = {13},
  number       = {10},
  year         = {2017},
  url          = {https://doi.org/10.1177/1550147717737908},
  doi          = {10.1177/1550147717737908},
  timestamp    = {Sun, 21 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ijdsn/MiaoL17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigmetrics/CecchiBLW17,
  author       = {Fabio Cecchi and
                  Sem C. Borst and
                  J. S. H. van Leeuwaarden and
                  Phil Whiting},
  title        = {Spatial Mean-Field Limits for Ultra-Dense Random-Access Networks},
  journal      = {{SIGMETRICS} Perform. Evaluation Rev.},
  volume       = {45},
  number       = {3},
  pages        = {123--136},
  year         = {2017},
  url          = {https://doi.org/10.1145/3199524.3199545},
  doi          = {10.1145/3199524.3199545},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sigmetrics/CecchiBLW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigmetrics/CecchiVS17,
  author       = {Fabio Cecchi and
                  Peter M. van de Ven and
                  Seva Shneer},
  title        = {Mean-field limits for multi-hop random-access networks},
  journal      = {{SIGMETRICS} Perform. Evaluation Rev.},
  volume       = {45},
  number       = {3},
  pages        = {109--122},
  year         = {2017},
  url          = {https://doi.org/10.1145/3199524.3199544},
  doi          = {10.1145/3199524.3199544},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sigmetrics/CecchiVS17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/BausoZP17,
  author       = {Dario Bauso and
                  Xuan Zhang and
                  Antonis Papachristodoulou},
  title        = {Density Flow in Dynamical Networks via Mean-Field Games},
  journal      = {{IEEE} Trans. Autom. Control.},
  volume       = {62},
  number       = {3},
  pages        = {1342--1355},
  year         = {2017},
  url          = {https://doi.org/10.1109/TAC.2016.2584979},
  doi          = {10.1109/TAC.2016.2584979},
  timestamp    = {Tue, 15 Mar 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tac/BausoZP17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tccn/MariSDQ17,
  author       = {Matthieu De Mari and
                  Emilio Calvanese Strinati and
                  M{\'{e}}rouane Debbah and
                  Tony Q. S. Quek},
  title        = {Joint Stochastic Geometry and Mean Field Game Optimization for Energy-Efficient
                  Proactive Scheduling in Ultra Dense Networks},
  journal      = {{IEEE} Trans. Cogn. Commun. Netw.},
  volume       = {3},
  number       = {4},
  pages        = {766--781},
  year         = {2017},
  url          = {https://doi.org/10.1109/TCCN.2017.2761381},
  doi          = {10.1109/TCCN.2017.2761381},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tccn/MariSDQ17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/LiBPSS17,
  author       = {Jian Li and
                  Rajarshi Bhattacharyya and
                  Suman Paul and
                  Srinivas Shakkottai and
                  Vijay G. Subramanian},
  title        = {Incentivizing Sharing in Realtime {D2D} Streaming Networks: {A} Mean
                  Field Game Perspective},
  journal      = {{IEEE/ACM} Trans. Netw.},
  volume       = {25},
  number       = {1},
  pages        = {3--17},
  year         = {2017},
  url          = {https://doi.org/10.1109/TNET.2016.2562028},
  doi          = {10.1109/TNET.2016.2562028},
  timestamp    = {Tue, 22 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ton/LiBPSS17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/YangLSHPH17,
  author       = {Chungang Yang and
                  Jiandong Li and
                  Prabodini Semasinghe and
                  Ekram Hossain and
                  Samir Medina Perlaza and
                  Zhu Han},
  title        = {Distributed Interference and Energy-Aware Power Control for Ultra-Dense
                  {D2D} Networks: {A} Mean Field Game},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {16},
  number       = {2},
  pages        = {1205--1217},
  year         = {2017},
  url          = {https://doi.org/10.1109/TWC.2016.2641959},
  doi          = {10.1109/TWC.2016.2641959},
  timestamp    = {Tue, 23 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/twc/YangLSHPH17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/allerton/CecchiBLW17,
  author       = {Fabio Cecchi and
                  Sem C. Borst and
                  Johan S. H. van Leeuwaarden and
                  Philip A. Whiting},
  title        = {Spatial mean-field limits for {CSMA} networks},
  booktitle    = {55th Annual Allerton Conference on Communication, Control, and Computing,
                  Allerton 2017, Monticello, IL, USA, October 3-6, 2017},
  pages        = {502--509},
  publisher    = {{IEEE}},
  year         = {2017},
  url          = {https://doi.org/10.1109/ALLERTON.2017.8262779},
  doi          = {10.1109/ALLERTON.2017.8262779},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/allerton/CecchiBLW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/complexnetworks/NiuMDLKS17,
  author       = {Xiang Niu and
                  Alaa Moussawi and
                  Noemi Derzsy and
                  Xin Lin and
                  Gy{\"{o}}rgy Korniss and
                  Boleslaw K. Szymanski},
  editor       = {Chantal Cherifi and
                  Hocine Cherifi and
                  M{\'{a}}rton Karsai and
                  Mirco Musolesi},
  title        = {Evolution of the Global Risk Network Mean-Field Stability Point},
  booktitle    = {Complex Networks {\&} Their Applications {VI} - Proceedings of
                  Complex Networks 2017 (The Sixth International Conference on Complex
                  Networks and Their Applications), {COMPLEX} {NETWORKS} 2017, Lyon,
                  France, November 29 - December 1, 2017},
  series       = {Studies in Computational Intelligence},
  volume       = {689},
  pages        = {1124--1134},
  publisher    = {Springer},
  year         = {2017},
  url          = {https://doi.org/10.1007/978-3-319-72150-7\_91},
  doi          = {10.1007/978-3-319-72150-7\_91},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/complexnetworks/NiuMDLKS17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/globecom/YangZLH17,
  author       = {Chungang Yang and
                  Yue Zhang and
                  Jiandong Li and
                  Zhu Han},
  title        = {Power Control Mean Field Game with Dominator in Ultra-Dense Small
                  Cell Networks},
  booktitle    = {2017 {IEEE} Global Communications Conference, {GLOBECOM} 2017, Singapore,
                  December 4-8, 2017},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2017},
  url          = {https://doi.org/10.1109/GLOCOM.2017.8254552},
  doi          = {10.1109/GLOCOM.2017.8254552},
  timestamp    = {Wed, 05 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/globecom/YangZLH17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/YangS17,
  author       = {Greg Yang and
                  Samuel S. Schoenholz},
  editor       = {Isabelle Guyon and
                  Ulrike von Luxburg and
                  Samy Bengio and
                  Hanna M. Wallach and
                  Rob Fergus and
                  S. V. N. Vishwanathan and
                  Roman Garnett},
  title        = {Mean Field Residual Networks: On the Edge of Chaos},
  booktitle    = {Advances in Neural Information Processing Systems 30: Annual Conference
                  on Neural Information Processing Systems 2017, December 4-9, 2017,
                  Long Beach, CA, {USA}},
  pages        = {7103--7114},
  year         = {2017},
  url          = {https://proceedings.neurips.cc/paper/2017/hash/81c650caac28cdefce4de5ddc18befa0-Abstract.html},
  timestamp    = {Thu, 21 Jan 2021 13:58:27 +0100},
  biburl       = {https://dblp.org/rec/conf/nips/YangS17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/valuetools/CerottiR17,
  author       = {Davide Cerotti and
                  Daniele Codetta Raiteri},
  editor       = {Simonetta Balsamo and
                  Andrea Marin and
                  Enrico Vicario},
  title        = {Mean Field Analysis for Continuous Time Bayesian Networks},
  booktitle    = {New Frontiers in Quantitative Methods in Informatics - 7th Workshop,
                  InfQ 2017, Venice, Italy, December 4, 2017, Revised Selected Papers},
  series       = {Communications in Computer and Information Science},
  volume       = {825},
  pages        = {156--169},
  publisher    = {Springer},
  year         = {2017},
  url          = {https://doi.org/10.1007/978-3-319-91632-3\_12},
  doi          = {10.1007/978-3-319-91632-3\_12},
  timestamp    = {Wed, 25 Sep 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/valuetools/CerottiR17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1710-01467,
  author       = {Haiping Huang},
  title        = {Mean-field theory of input dimensionality reduction in unsupervised
                  deep neural networks},
  journal      = {CoRR},
  volume       = {abs/1710.01467},
  year         = {2017},
  url          = {http://arxiv.org/abs/1710.01467},
  eprinttype    = {arXiv},
  eprint       = {1710.01467},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1710-01467.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1712-08969,
  author       = {Greg Yang and
                  Samuel S. Schoenholz},
  title        = {Mean Field Residual Networks: On the Edge of Chaos},
  journal      = {CoRR},
  volume       = {abs/1712.08969},
  year         = {2017},
  url          = {http://arxiv.org/abs/1712.08969},
  eprinttype    = {arXiv},
  eprint       = {1712.08969},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1712-08969.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ficn/NicolaTS16,
  author       = {Wilten Nicola and
                  Bryan P. Tripp and
                  Matthew Scott},
  title        = {Obtaining Arbitrary Prescribed Mean Field Dynamics for Recurrently
                  Coupled Networks of Type-I Spiking Neurons with Analytically Determined
                  Weights},
  journal      = {Frontiers Comput. Neurosci.},
  volume       = {10},
  pages        = {15},
  year         = {2016},
  url          = {https://doi.org/10.3389/fncom.2016.00015},
  doi          = {10.3389/FNCOM.2016.00015},
  timestamp    = {Mon, 15 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ficn/NicolaTS16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/poit/BaccelliRS16,
  author       = {Fran{\c{c}}ois Baccelli and
                  Alexandre N. Rybko and
                  Senya B. Shlosman},
  title        = {Queueing networks with mobile servers: The mean-field approach},
  journal      = {Probl. Inf. Transm.},
  volume       = {52},
  number       = {2},
  pages        = {178--199},
  year         = {2016},
  url          = {https://doi.org/10.1134/S0032946016020071},
  doi          = {10.1134/S0032946016020071},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/poit/BaccelliRS16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/BausoTB16,
  author       = {Dario Bauso and
                  Hamidou Tembine and
                  Tamer Basar},
  title        = {Opinion Dynamics in Social Networks through Mean-Field Games},
  journal      = {{SIAM} J. Control. Optim.},
  volume       = {54},
  number       = {6},
  pages        = {3225--3257},
  year         = {2016},
  url          = {https://doi.org/10.1137/140985676},
  doi          = {10.1137/140985676},
  timestamp    = {Thu, 09 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamco/BausoTB16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/CamilliM16,
  author       = {Fabio Camilli and
                  Claudio Marchi},
  title        = {Stationary Mean Field Games Systems Defined on Networks},
  journal      = {{SIAM} J. Control. Optim.},
  volume       = {54},
  number       = {2},
  pages        = {1085--1103},
  year         = {2016},
  url          = {https://doi.org/10.1137/15M1022082},
  doi          = {10.1137/15M1022082},
  timestamp    = {Thu, 09 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamco/CamilliM16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/spl/CakmakUMPFH16,
  author       = {Burak {\c{C}}akmak and
                  Daniel Nygaard Urup and
                  Florian Meyer and
                  Troels Pedersen and
                  Bernard H. Fleury and
                  Franz Hlawatsch},
  title        = {Cooperative Localization for Mobile Networks: {A} Distributed Belief
                  Propagation-Mean Field Message Passing Algorithm},
  journal      = {{IEEE} Signal Process. Lett.},
  volume       = {23},
  number       = {6},
  pages        = {828--832},
  year         = {2016},
  url          = {https://doi.org/10.1109/LSP.2016.2550534},
  doi          = {10.1109/LSP.2016.2550534},
  timestamp    = {Thu, 08 Jun 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/spl/CakmakUMPFH16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/HanifTAZ16,
  author       = {Ahmed Farhan Hanif and
                  Hamidou Tembine and
                  Mohamad Assaad and
                  Djamal Zeghlache},
  title        = {Mean-Field Games for Resource Sharing in Cloud-Based Networks},
  journal      = {{IEEE/ACM} Trans. Netw.},
  volume       = {24},
  number       = {1},
  pages        = {624--637},
  year         = {2016},
  url          = {https://doi.org/10.1109/TNET.2014.2387100},
  doi          = {10.1109/TNET.2014.2387100},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ton/HanifTAZ16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvt/Al-ZahraniYH16,
  author       = {Ali Y. Al{-}Zahrani and
                  F. Richard Yu and
                  Minyi Huang},
  title        = {A Joint Cross-Layer and Colayer Interference Management Scheme in
                  Hyperdense Heterogeneous Networks Using Mean-Field Game Theory},
  journal      = {{IEEE} Trans. Veh. Technol.},
  volume       = {65},
  number       = {3},
  pages        = {1522--1535},
  year         = {2016},
  url          = {https://doi.org/10.1109/TVT.2015.2413394},
  doi          = {10.1109/TVT.2015.2413394},
  timestamp    = {Thu, 25 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvt/Al-ZahraniYH16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/IEEEssd/SiweT16,
  author       = {Alain Tcheukam Siwe and
                  Hamidou Tembine},
  title        = {Mean-field-type games on airline networks and airport queues: Braess
                  paradox, its negation, and crowd effect},
  booktitle    = {13th International Multi-Conference on Systems, Signals {\&} Devices,
                  {SSD} 2016, Leipzig, Germany, March 21-24, 2016},
  pages        = {595--600},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/SSD.2016.7473658},
  doi          = {10.1109/SSD.2016.7473658},
  timestamp    = {Mon, 09 Aug 2021 14:54:04 +0200},
  biburl       = {https://dblp.org/rec/conf/IEEEssd/SiweT16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/HamidoucheSDP16,
  author       = {Kenza Hamidouche and
                  Walid Saad and
                  M{\'{e}}rouane Debbah and
                  H. Vincent Poor},
  title        = {Mean-Field Games for Distributed Caching in Ultra-Dense Small Cell
                  Networks},
  booktitle    = {2016 American Control Conference, {ACC} 2016, Boston, MA, USA, July
                  6-8, 2016},
  pages        = {4699--4704},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/ACC.2016.7526096},
  doi          = {10.1109/ACC.2016.7526096},
  timestamp    = {Thu, 23 Jun 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/amcc/HamidoucheSDP16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/complexnetworks/QuW16,
  author       = {Bo Qu and
                  Huijuan Wang},
  editor       = {Hocine Cherifi and
                  Sabrina Gaito and
                  Walter Quattrociocchi and
                  Alessandra Sala},
  title        = {The Accuracy of Mean-Field Approximation for Susceptible-Infected-Susceptible
                  Epidemic Spreading with Heterogeneous Infection Rates},
  booktitle    = {Complex Networks {\&} Their Applications {V} - Proceedings of
                  the 5th International Workshop on Complex Networks and their Applications
                  {(COMPLEX} {NETWORKS} 2016), Milan, Italy, November 30 - December
                  2, 2016},
  series       = {Studies in Computational Intelligence},
  volume       = {693},
  pages        = {499--510},
  publisher    = {Springer},
  year         = {2016},
  url          = {https://doi.org/10.1007/978-3-319-50901-3\_40},
  doi          = {10.1007/978-3-319-50901-3\_40},
  timestamp    = {Fri, 09 Apr 2021 18:42:17 +0200},
  biburl       = {https://dblp.org/rec/conf/complexnetworks/QuW16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eusipco/ValZMZP16,
  author       = {Jorge del Val and
                  Santiago Zazo and
                  Sergio Valcarcel Macua and
                  Javier Zazo and
                  Juan Parras},
  title        = {Optimal attack and defence of large scale networks using mean field
                  theory},
  booktitle    = {24th European Signal Processing Conference, {EUSIPCO} 2016, Budapest,
                  Hungary, August 29 - September 2, 2016},
  pages        = {973--977},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/EUSIPCO.2016.7760393},
  doi          = {10.1109/EUSIPCO.2016.7760393},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/eusipco/ValZMZP16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/infocom/Cecchi16,
  author       = {Fabio Cecchi},
  title        = {Mean-field analysis of {CSMA} wireless networks},
  booktitle    = {{IEEE} Conference on Computer Communications Workshops, {INFOCOM}
                  Workshops 2016, San Francisco, CA, USA, April 10-14, 2016},
  pages        = {540--541},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/INFCOMW.2016.7562135},
  doi          = {10.1109/INFCOMW.2016.7562135},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/infocom/Cecchi16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/infocom/CecchiBLW16,
  author       = {Fabio Cecchi and
                  Sem C. Borst and
                  J. S. H. van Leeuwaarden and
                  Philip A. Whiting},
  title        = {{CSMA} networks in a many-sources regime: {A} mean-field approach},
  booktitle    = {35th Annual {IEEE} International Conference on Computer Communications,
                  {INFOCOM} 2016, San Francisco, CA, USA, April 10-14, 2016},
  pages        = {1--9},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/INFOCOM.2016.7524604},
  doi          = {10.1109/INFOCOM.2016.7524604},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/infocom/CecchiBLW16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wiopt/TanakaPL16,
  author       = {Toshiyuki Tanaka and
                  Kumar Shashi Prabh and
                  Yiyan Liu},
  title        = {Throughput equalization in mean-field hard-core models for CSMA-based
                  wireless networks},
  booktitle    = {14th International Symposium on Modeling and Optimization in Mobile,
                  Ad Hoc, and Wireless Networks, WiOpt 2016, Tempe, AZ, USA, May 9-13,
                  2016},
  pages        = {329--336},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://doi.org/10.1109/WIOPT.2016.7492939},
  doi          = {10.1109/WIOPT.2016.7492939},
  timestamp    = {Tue, 23 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wiopt/TanakaPL16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/HamidoucheSDP16,
  author       = {Kenza Hamidouche and
                  Walid Saad and
                  M{\'{e}}rouane Debbah and
                  H. Vincent Poor},
  title        = {Mean-Field Games for Distributed Caching in Ultra-Dense Small Cell
                  Networks},
  journal      = {CoRR},
  volume       = {abs/1603.07031},
  year         = {2016},
  url          = {http://arxiv.org/abs/1603.07031},
  eprinttype    = {arXiv},
  eprint       = {1603.07031},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/HamidoucheSDP16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/LiBPSS16,
  author       = {Jian Li and
                  Rajarshi Bhattacharyya and
                  Suman Paul and
                  Srinivas Shakkottai and
                  Vijay G. Subramanian},
  title        = {Incentivizing Sharing in Realtime {D2D} Streaming Networks: {A} Mean
                  Field Game Perspective},
  journal      = {CoRR},
  volume       = {abs/1604.02435},
  year         = {2016},
  url          = {http://arxiv.org/abs/1604.02435},
  eprinttype    = {arXiv},
  eprint       = {1604.02435},
  timestamp    = {Tue, 22 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/LiBPSS16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/MaghsudiH16a,
  author       = {Setareh Maghsudi and
                  Ekram Hossain},
  title        = {Distributed Cell Association for Energy Harvesting IoT Devices in
                  Dense Small Cell Networks: {A} Mean-Field Multi-Armed Bandit Approach},
  journal      = {CoRR},
  volume       = {abs/1605.00057},
  year         = {2016},
  url          = {http://arxiv.org/abs/1605.00057},
  eprinttype    = {arXiv},
  eprint       = {1605.00057},
  timestamp    = {Tue, 23 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/MaghsudiH16a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/SamarakoonBSDL16a,
  author       = {Sumudu Samarakoon and
                  Mehdi Bennis and
                  Walid Saad and
                  M{\'{e}}rouane Debbah and
                  Matti Latva{-}aho},
  title        = {Energy-Efficient Resource Management in Ultra Dense Small Cell Networks:
                  {A} Mean-Field Approach},
  journal      = {CoRR},
  volume       = {abs/1604.08763},
  year         = {2016},
  url          = {http://arxiv.org/abs/1604.08763},
  eprinttype    = {arXiv},
  eprint       = {1604.08763},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/SamarakoonBSDL16a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/HertyPS15,
  author       = {Michael Herty and
                  Lorenzo Pareschi and
                  Sonja Steffensen},
  title        = {Mean-field control and Riccati equations},
  journal      = {Networks Heterog. Media},
  volume       = {10},
  number       = {3},
  pages        = {699--715},
  year         = {2015},
  url          = {http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=11428},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/HertyPS15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/InglisT15,
  author       = {J. Inglis and
                  D. Talay},
  title        = {Mean-Field Limit of a Stochastic Particle System Smoothly Interacting
                  Through Threshold Hitting-Times and Applications to Neural Networks
                  with Dendritic Component},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {47},
  number       = {5},
  pages        = {3884--3916},
  year         = {2015},
  url          = {https://doi.org/10.1137/140989042},
  doi          = {10.1137/140989042},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/InglisT15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigmetrics/CecchiSBL15,
  author       = {Fabio Cecchi and
                  Sem C. Borst and
                  J. S. H. van Leeuwaarden},
  title        = {Mean-Field Analysis of Ultra-Dense {CSMA} Networks},
  journal      = {{SIGMETRICS} Perform. Evaluation Rev.},
  volume       = {43},
  number       = {2},
  pages        = {13--15},
  year         = {2015},
  url          = {https://doi.org/10.1145/2825236.2825241},
  doi          = {10.1145/2825236.2825241},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sigmetrics/CecchiSBL15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/allerton/TanakaP15,
  author       = {Toshiyuki Tanaka and
                  Kumar Shashi Prabh},
  title        = {Mean-field hard-core model of interference in ad-hoc wireless networks},
  booktitle    = {53rd Annual Allerton Conference on Communication, Control, and Computing,
                  Allerton 2015, Allerton Park {\&} Retreat Center, Monticello,
                  IL, USA, September 29 - October 2, 2015},
  pages        = {279--285},
  publisher    = {{IEEE}},
  year         = {2015},
  url          = {https://doi.org/10.1109/ALLERTON.2015.7447016},
  doi          = {10.1109/ALLERTON.2015.7447016},
  timestamp    = {Tue, 23 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/allerton/TanakaP15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/critis/ScalaSLD15,
  author       = {Antonio Scala and
                  Stefano Sebastio and
                  Pier Giorgio De Sanctis Lucentini and
                  Gregorio D'Agostino},
  editor       = {Erich Rome and
                  Marianthi Theocharidou and
                  Stephen D. Wolthusen},
  title        = {A Mean Field Model of Coupled Cascades in Flow Networks},
  booktitle    = {Critical Information Infrastructures Security - 10th International
                  Conference, {CRITIS} 2015, Berlin, Germany, October 5-7, 2015, Revised
                  Selected Papers},
  series       = {Lecture Notes in Computer Science},
  volume       = {9578},
  pages        = {259--263},
  publisher    = {Springer},
  year         = {2015},
  url          = {https://doi.org/10.1007/978-3-319-33331-1\_24},
  doi          = {10.1007/978-3-319-33331-1\_24},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/critis/ScalaSLD15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/globecom/SamarakoonBSDL15,
  author       = {Sumudu Samarakoon and
                  Mehdi Bennis and
                  Walid Saad and
                  M{\'{e}}rouane Debbah and
                  Matti Latva{-}aho},
  title        = {Energy-Efficient Resource Management in Ultra Dense Small Cell Networks:
                  {A} Mean-Field Approach},
  booktitle    = {2015 {IEEE} Global Communications Conference, {GLOBECOM} 2015, San
                  Diego, CA, USA, December 6-10, 2015},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2015},
  url          = {https://doi.org/10.1109/GLOCOM.2014.7417725},
  doi          = {10.1109/GLOCOM.2014.7417725},
  timestamp    = {Fri, 27 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/globecom/SamarakoonBSDL15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/infocom/LiBPSS15,
  author       = {Jian Li and
                  Rajarshi Bhattacharyya and
                  Suman Paul and
                  Srinivas Shakkottai and
                  Vijay G. Subramanian},
  title        = {Incentivizing sharing in realtime {D2D} streaming networks: {A} mean
                  field game perspective},
  booktitle    = {2015 {IEEE} Conference on Computer Communications, {INFOCOM} 2015,
                  Kowloon, Hong Kong, April 26 - May 1, 2015},
  pages        = {2119--2127},
  publisher    = {{IEEE}},
  year         = {2015},
  url          = {https://doi.org/10.1109/INFOCOM.2015.7218597},
  doi          = {10.1109/INFOCOM.2015.7218597},
  timestamp    = {Tue, 22 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/infocom/LiBPSS15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/CakmakUMPFH15,
  author       = {Burak {\c{C}}akmak and
                  Daniel Nygaard Urup and
                  Florian Meyer and
                  Troels Pedersen and
                  Bernard H. Fleury and
                  Franz Hlawatsch},
  title        = {Cooperative Localization for Mobile Networks: {A} Distributed Belief
                  Propagation - Mean Field Message Passing Algorithm},
  journal      = {CoRR},
  volume       = {abs/1512.07782},
  year         = {2015},
  url          = {http://arxiv.org/abs/1512.07782},
  eprinttype    = {arXiv},
  eprint       = {1512.07782},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/CakmakUMPFH15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/TalebiGL15,
  author       = {Mahmoud Talebi and
                  Jan Friso Groote and
                  Jean{-}Paul M. G. Linnartz},
  title        = {Communication Patterns in Mean Field Models for Wireless Sensor Networks},
  journal      = {CoRR},
  volume       = {abs/1503.07693},
  year         = {2015},
  url          = {http://arxiv.org/abs/1503.07693},
  eprinttype    = {arXiv},
  eprint       = {1503.07693},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/TalebiGL15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcns/Grabska-BarwinskaL14,
  author       = {Agnieszka Grabska{-}Barwinska and
                  Peter E. Latham},
  title        = {How well do mean field theories of spiking quadratic-integrate-and-fire
                  networks work in realistic parameter regimes?},
  journal      = {J. Comput. Neurosci.},
  volume       = {36},
  number       = {3},
  pages        = {469--481},
  year         = {2014},
  url          = {https://doi.org/10.1007/s10827-013-0481-5},
  doi          = {10.1007/S10827-013-0481-5},
  timestamp    = {Thu, 16 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcns/Grabska-BarwinskaL14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/HuiHBH14,
  author       = {Qing Hui and
                  Wassim M. Haddad and
                  James M. Bailey and
                  Tomohisa Hayakawa},
  title        = {A Stochastic Mean Field Model for an Excitatory and Inhibitory Synaptic
                  Drive Cortical Neuronal Network},
  journal      = {{IEEE} Trans. Neural Networks Learn. Syst.},
  volume       = {25},
  number       = {4},
  pages        = {751--763},
  year         = {2014},
  url          = {https://doi.org/10.1109/TNNLS.2013.2281065},
  doi          = {10.1109/TNNLS.2013.2281065},
  timestamp    = {Mon, 09 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tnn/HuiHBH14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/WangYTH14,
  author       = {Yanwei Wang and
                  F. Richard Yu and
                  Helen Tang and
                  Minyi Huang},
  title        = {A Mean Field Game Theoretic Approach for Security Enhancements in
                  Mobile Ad hoc Networks},
  journal      = {{IEEE} Trans. Wirel. Commun.},
  volume       = {13},
  number       = {3},
  pages        = {1616--1627},
  year         = {2014},
  url          = {https://doi.org/10.1109/TWC.2013.122313.131118},
  doi          = {10.1109/TWC.2013.122313.131118},
  timestamp    = {Sun, 06 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/twc/WangYTH14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/bmei/WeiZLWYD14,
  author       = {Xile Wei and
                  Danhong Zhang and
                  Meili Lu and
                  Jiang Wang and
                  Haitao Yu and
                  Bin Deng},
  editor       = {Dong Xie and
                  Ron Yang and
                  Jinguang Sun and
                  Lipo Wang and
                  Xiaowei Hui and
                  Ying Chen},
  title        = {Enhanced stochastic resonance induced by mean field feedback in synaptic
                  coupled networks},
  booktitle    = {7th International Conference on Biomedical Engineering and Informatics,
                  {BMEI} 2014, Dalian, China, October 14-16, 2014},
  pages        = {436--440},
  publisher    = {{IEEE}},
  year         = {2014},
  url          = {https://doi.org/10.1109/BMEI.2014.7002814},
  doi          = {10.1109/BMEI.2014.7002814},
  timestamp    = {Thu, 25 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/bmei/WeiZLWYD14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/BausoZP14,
  author       = {Dario Bauso and
                  Xuan Zhang and
                  Antonis Papachristodoulou},
  title        = {Density flow over networks: {A} mean-field game theoretic approach},
  booktitle    = {53rd {IEEE} Conference on Decision and Control, {CDC} 2014, Los Angeles,
                  CA, USA, December 15-17, 2014},
  pages        = {3469--3474},
  publisher    = {{IEEE}},
  year         = {2014},
  url          = {https://doi.org/10.1109/CDC.2014.7039927},
  doi          = {10.1109/CDC.2014.7039927},
  timestamp    = {Tue, 15 Mar 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/cdc/BausoZP14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/LiZ14b,
  author       = {Yujia Li and
                  Richard S. Zemel},
  title        = {Mean-Field Networks},
  journal      = {CoRR},
  volume       = {abs/1410.5884},
  year         = {2014},
  url          = {http://arxiv.org/abs/1410.5884},
  eprinttype    = {arXiv},
  eprint       = {1410.5884},
  timestamp    = {Sat, 02 Dec 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/LiZ14b.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/hal/Fasoli13,
  author       = {Diego Fasoli},
  title        = {Attacking the brain with neuroscience : mean-field theory, finite
                  size effects and encoding capability of stochastic neural networks.
                  (Traiter le cerveau avec les neurosciences : th{\'{e}}orie de
                  champ-moyen, effets de taille finie et capacit{\'{e}} de codage
                  des r{\'{e}}seaux de neurones stochastiques)},
  school       = {University of Nice Sophia Antipolis, France},
  year         = {2013},
  url          = {https://tel.archives-ouvertes.fr/tel-00850289},
  timestamp    = {Tue, 21 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/phd/hal/Fasoli13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ficn/NicolaC13,
  author       = {Wilten Nicola and
                  Sue Ann Campbell},
  title        = {Mean-field models for heterogeneous networks of two-dimensional integrate
                  and fire neurons},
  journal      = {Frontiers Comput. Neurosci.},
  volume       = {7},
  pages        = {184},
  year         = {2013},
  url          = {https://doi.org/10.3389/fncom.2013.00184},
  doi          = {10.3389/FNCOM.2013.00184},
  timestamp    = {Sat, 23 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ficn/NicolaC13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/SahnehSM13,
  author       = {Faryad Darabi Sahneh and
                  Caterina M. Scoglio and
                  Piet Van Mieghem},
  title        = {Generalized Epidemic Mean-Field Model for Spreading Processes Over
                  Multilayer Complex Networks},
  journal      = {{IEEE/ACM} Trans. Netw.},
  volume       = {21},
  number       = {5},
  pages        = {1609--1620},
  year         = {2013},
  url          = {https://doi.org/10.1109/TNET.2013.2239658},
  doi          = {10.1109/TNET.2013.2239658},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ton/SahnehSM13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/TembineBB13,
  author       = {Hamidou Tembine and
                  Dario Bauso and
                  Tamer Basar},
  title        = {Robust linear quadratic mean-field games in crowd-seeking social networks},
  booktitle    = {Proceedings of the 52nd {IEEE} Conference on Decision and Control,
                  {CDC} 2013, Florence, Italy, December 10-13, 2013},
  pages        = {3134--3139},
  publisher    = {{IEEE}},
  year         = {2013},
  url          = {https://doi.org/10.1109/CDC.2013.6760361},
  doi          = {10.1109/CDC.2013.6760361},
  timestamp    = {Fri, 04 Mar 2022 13:29:02 +0100},
  biburl       = {https://dblp.org/rec/conf/cdc/TembineBB13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mswim/WangYHBC13,
  author       = {Yanwei Wang and
                  F. Richard Yu and
                  Minyi Huang and
                  Azzedine Boukerche and
                  Tao Chen},
  editor       = {Mirela Sechi Moretti Annoni Notare and
                  Abdelhamid Mammeri},
  title        = {Securing vehicular ad hoc networks with mean field game theory},
  booktitle    = {Proceedings of the third {ACM} international symposium on Design and
                  analysis of intelligent vehicular networks and applications, DIVANet@MSWiM
                  2013, Barcelona, Spain, November 3-4, 2013},
  pages        = {55--60},
  publisher    = {{ACM}},
  year         = {2013},
  url          = {https://doi.org/10.1145/2512921.2512936},
  doi          = {10.1145/2512921.2512936},
  timestamp    = {Tue, 06 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/mswim/WangYHBC13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pimrc/Al-ZahraniYH13,
  author       = {Ali Y. Al{-}Zahrani and
                  F. Richard Yu and
                  Minyi Huang},
  title        = {A distributed interference control scheme in large cellular networks
                  using mean-field game theory},
  booktitle    = {24th {IEEE} Annual International Symposium on Personal, Indoor, and
                  Mobile Radio Communications, {PIMRC} 2013, London, United Kingdom,
                  September 8-11, 2013},
  pages        = {3339--3343},
  publisher    = {{IEEE}},
  year         = {2013},
  url          = {https://doi.org/10.1109/PIMRC.2013.6666724},
  doi          = {10.1109/PIMRC.2013.6666724},
  timestamp    = {Wed, 16 Oct 2019 14:14:50 +0200},
  biburl       = {https://dblp.org/rec/conf/pimrc/Al-ZahraniYH13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wosp/GuentherB13,
  author       = {Marcel C. Guenther and
                  Jeremy T. Bradley},
  editor       = {Seetharami Seelam and
                  Petr Tuma and
                  Giuliano Casale and
                  Tony Field and
                  Jos{\'{e}} Nelson Amaral},
  title        = {Mean-field analysis of data flows in wireless sensor networks},
  booktitle    = {{ACM/SPEC} International Conference on Performance Engineering, ICPE'13,
                  Prague, Czech Republic - April 21 - 24, 2013},
  pages        = {51--62},
  publisher    = {{ACM}},
  year         = {2013},
  url          = {https://doi.org/10.1145/2479871.2479882},
  doi          = {10.1145/2479871.2479882},
  timestamp    = {Tue, 06 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/wosp/GuentherB13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BlaszczyszynJK13,
  author       = {Bartlomiej Blaszczyszyn and
                  Miodrag Jovanovic and
                  Mohamed Kadhem Karray},
  title        = {Mean user throughput versus traffic demand in large irregular cellular
                  networks - a typical cell approach explaining real field measurements},
  journal      = {CoRR},
  volume       = {abs/1307.8409},
  year         = {2013},
  url          = {http://arxiv.org/abs/1307.8409},
  eprinttype    = {arXiv},
  eprint       = {1307.8409},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BlaszczyszynJK13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1301-6793,
  author       = {Fran{\c{c}}ois M{\'{e}}riaux and
                  Vineeth S. Varma and
                  Samson Lasaulce},
  title        = {Mean Field Energy Games in Wireless Networks},
  journal      = {CoRR},
  volume       = {abs/1301.6793},
  year         = {2013},
  url          = {http://arxiv.org/abs/1301.6793},
  eprinttype    = {arXiv},
  eprint       = {1301.6793},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1301-6793.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1303-1414,
  author       = {Kameron Decker Harris and
                  Christopher M. Danforth and
                  Peter Sheridan Dodds},
  title        = {Dynamics of influence processes on networks: Complete mean-field theory;
                  the roles of response functions, connectivity, and synchrony; and
                  applications to social contagion},
  journal      = {CoRR},
  volume       = {abs/1303.1414},
  year         = {2013},
  url          = {http://arxiv.org/abs/1303.1414},
  eprinttype    = {arXiv},
  eprint       = {1303.1414},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1303-1414.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/AchdouP12,
  author       = {Yves Achdou and
                  V{\'{\i}}ctor P{\'{e}}rez},
  title        = {Iterative strategies for solving linearized discrete mean field games
                  systems},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {197--217},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.197},
  doi          = {10.3934/NHM.2012.7.197},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/AchdouP12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/Bardi12,
  author       = {Martino Bardi},
  title        = {Explicit solutions of some linear-quadratic mean field games},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {243--261},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.243},
  doi          = {10.3934/NHM.2012.7.243},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/Bardi12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/CamilliS12,
  author       = {Fabio Camilli and
                  Francisco Silva},
  title        = {A semi-discrete approximation for a first order mean field game problem},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {263--277},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.263},
  doi          = {10.3934/NHM.2012.7.263},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/CamilliS12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/CardaliaguetLLP12,
  author       = {Pierre Cardaliaguet and
                  Jean{-}Michel Lasry and
                  Pierre{-}Louis Lions and
                  Alessio Porretta},
  title        = {Long time average of mean field games},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {279--301},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.279},
  doi          = {10.3934/NHM.2012.7.279},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/CardaliaguetLLP12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/GomesPS12,
  author       = {Diogo A. Gomes and
                  Gabriel E. Pires and
                  H{\'{e}}ctor S{\'{a}}nchez{-}Morgado},
  title        = {A-priori estimates for stationary mean-field games},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {303--314},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.303},
  doi          = {10.3934/NHM.2012.7.303},
  timestamp    = {Mon, 22 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nhm/GomesPS12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/Gueant12,
  author       = {Olivier Gu{\'{e}}ant},
  title        = {New numerical methods for mean field games with quadratic costs},
  journal      = {Networks Heterog. Media},
  volume       = {7},
  number       = {2},
  pages        = {315--336},
  year         = {2012},
  url          = {https://doi.org/10.3934/nhm.2012.7.315},
  doi          = {10.3934/NHM.2012.7.315},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/Gueant12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acssc/MeriauxVL12,
  author       = {Fran{\c{c}}ois M{\'{e}}riaux and
                  Vineeth S. Varma and
                  Samson Lasaulce},
  editor       = {Michael B. Matthews},
  title        = {Mean field energy games in wireless networks},
  booktitle    = {Conference Record of the Forty Sixth Asilomar Conference on Signals,
                  Systems and Computers, {ACSCC} 2012, Pacific Grove, CA, USA, November
                  4-7, 2012},
  pages        = {671--675},
  publisher    = {{IEEE}},
  year         = {2012},
  url          = {https://doi.org/10.1109/ACSSC.2012.6489095},
  doi          = {10.1109/ACSSC.2012.6489095},
  timestamp    = {Wed, 16 Oct 2019 14:14:57 +0200},
  biburl       = {https://dblp.org/rec/conf/acssc/MeriauxVL12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/TembineTV12,
  author       = {Hamidou Tembine and
                  Ra{\'{u}}l Tempone and
                  Pedro Vilanova},
  title        = {Mean field games for cognitive radio networks},
  booktitle    = {American Control Conference, {ACC} 2012, Montreal, QC, Canada, June
                  27-29, 2012},
  pages        = {6388--6393},
  publisher    = {{IEEE}},
  year         = {2012},
  url          = {https://doi.org/10.1109/ACC.2012.6314643},
  doi          = {10.1109/ACC.2012.6314643},
  timestamp    = {Sun, 08 Aug 2021 01:40:54 +0200},
  biburl       = {https://dblp.org/rec/conf/amcc/TembineTV12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/socinfo/BirkholzBHSG12,
  author       = {Julie M. Birkholz and
                  Rena Bakhshi and
                  Ravindra Harige and
                  Maarten van Steen and
                  Peter Groenewegen},
  editor       = {Karl Aberer and
                  Andreas Flache and
                  Wander Jager and
                  Ling Liu and
                  Jie Tang and
                  Christophe Gu{\'{e}}ret},
  title        = {Scalable Analysis for Large Social Networks: The Data-Aware Mean-Field
                  Approach},
  booktitle    = {Social Informatics - 4th International Conference, SocInfo 2012, Lausanne,
                  Switzerland, December 5-7, 2012. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {7710},
  pages        = {406--419},
  publisher    = {Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-642-35386-4\_30},
  doi          = {10.1007/978-3-642-35386-4\_30},
  timestamp    = {Mon, 26 Jun 2023 20:48:44 +0200},
  biburl       = {https://dblp.org/rec/conf/socinfo/BirkholzBHSG12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1205-2655,
  author       = {Ido Cohn and
                  Tal El{-}Hay and
                  Nir Friedman and
                  Raz Kupferman},
  title        = {Mean Field Variational Approximation for Continuous-Time Bayesian
                  Networks},
  journal      = {CoRR},
  volume       = {abs/1205.2655},
  year         = {2012},
  url          = {http://arxiv.org/abs/1205.2655},
  eprinttype    = {arXiv},
  eprint       = {1205.2655},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1205-2655.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1206-6294,
  author       = {Andrew Lucas},
  title        = {Exact mean field dynamics for epidemic-like processes on heterogeneous
                  networks},
  journal      = {CoRR},
  volume       = {abs/1206.6294},
  year         = {2012},
  url          = {http://arxiv.org/abs/1206.6294},
  eprinttype    = {arXiv},
  eprint       = {1206.6294},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1206-6294.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1209-6615,
  author       = {Julie M. Birkholz and
                  Rena Bakhshi and
                  Ravindra Harige and
                  Maarten van Steen and
                  Peter Groenewegen},
  title        = {Scalable Analysis for Large Social Networks: the data-aware mean-field
                  approach},
  journal      = {CoRR},
  volume       = {abs/1209.6615},
  year         = {2012},
  url          = {http://arxiv.org/abs/1209.6615},
  eprinttype    = {arXiv},
  eprint       = {1209.6615},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1209-6615.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aaai/LowdS11,
  author       = {Daniel Lowd and
                  Arash Shamaei},
  editor       = {Wolfram Burgard and
                  Dan Roth},
  title        = {Mean Field Inference in Dependency Networks: An Empirical Study},
  booktitle    = {Proceedings of the Twenty-Fifth {AAAI} Conference on Artificial Intelligence,
                  {AAAI} 2011, San Francisco, California, USA, August 7-11, 2011},
  pages        = {404--410},
  publisher    = {{AAAI} Press},
  year         = {2011},
  url          = {https://doi.org/10.1609/aaai.v25i1.7936},
  doi          = {10.1609/AAAI.V25I1.7936},
  timestamp    = {Mon, 04 Sep 2023 16:05:54 +0200},
  biburl       = {https://dblp.org/rec/conf/aaai/LowdS11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/allerton/TembineTV11,
  author       = {Hamidou Tembine and
                  Ra{\'{u}}l Tempone and
                  Pedro Vilanova},
  title        = {Mean field interaction in biochemical reaction networks},
  booktitle    = {49th Annual Allerton Conference on Communication, Control, and Computing,
                  Allerton 2011, Allerton Park {\&} Retreat Center, Monticello,
                  IL, USA, 28-30 September, 2011},
  pages        = {991--997},
  publisher    = {{IEEE}},
  year         = {2011},
  url          = {https://doi.org/10.1109/Allerton.2011.6120274},
  doi          = {10.1109/ALLERTON.2011.6120274},
  timestamp    = {Wed, 16 Oct 2019 14:14:55 +0200},
  biburl       = {https://dblp.org/rec/conf/allerton/TembineTV11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/gamenets/TembineVD11,
  author       = {Hamidou Tembine and
                  Pedro Vilanova and
                  M{\'{e}}rouane Debbah},
  editor       = {Rahul Jain and
                  Rajgopal Kannan},
  title        = {Noisy Mean Field Game Model for Malware Propagation in Opportunistic
                  Networks},
  booktitle    = {Game Theory for Networks - 2nd International {ICST} Conference, {GAMENETS}
                  2011, Shanghai, China, April 16-18, 2011, Revised Selected Papers},
  series       = {Lecture Notes of the Institute for Computer Sciences, Social Informatics
                  and Telecommunications Engineering},
  volume       = {75},
  pages        = {459--474},
  publisher    = {Springer},
  year         = {2011},
  url          = {https://doi.org/10.1007/978-3-642-30373-9\_32},
  doi          = {10.1007/978-3-642-30373-9\_32},
  timestamp    = {Tue, 03 May 2022 16:52:20 +0200},
  biburl       = {https://dblp.org/rec/conf/gamenets/TembineVD11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/vtc/BeccutiPHHF11,
  author       = {Marco Beccuti and
                  Massimiliano De Pierro and
                  Andr{\'{a}}s Horv{\'{a}}th and
                  {\'{A}}d{\'{a}}m Horv{\'{a}}th and
                  K{\'{a}}roly Farkas},
  title        = {A Mean Field Based Methodology for Modeling Mobility in Ad Hoc Networks},
  booktitle    = {Proceedings of the 73rd {IEEE} Vehicular Technology Conference, {VTC}
                  Spring 2011, 15-18 May 2011, Budapest, Hungary},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2011},
  url          = {https://doi.org/10.1109/VETECS.2011.5956248},
  doi          = {10.1109/VETECS.2011.5956248},
  timestamp    = {Sun, 02 Jun 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/vtc/BeccutiPHHF11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1106-0246,
  author       = {Chiru Bhattacharyya and
                  S. Sathiya Keerthi},
  title        = {Mean Field Methods for a Special Class of Belief Networks},
  journal      = {CoRR},
  volume       = {abs/1106.0246},
  year         = {2011},
  url          = {http://arxiv.org/abs/1106.0246},
  eprinttype    = {arXiv},
  eprint       = {1106.0246},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1106-0246.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1106-4215,
  author       = {Paolo Moretti and
                  Suyu Liu and
                  Andrea Baronchelli and
                  Romualdo Pastor{-}Satorras},
  title        = {Unified mean-field approach to voter-like models on networks},
  journal      = {CoRR},
  volume       = {abs/1106.4215},
  year         = {2011},
  url          = {http://arxiv.org/abs/1106.4215},
  eprinttype    = {arXiv},
  eprint       = {1106.4215},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1106-4215.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1112-5683,
  author       = {Zimo Yang and
                  Tao Zhou},
  title        = {Epidemic Spreading in Weighted Networks: An Edge-Based Mean-Field
                  Solution},
  journal      = {CoRR},
  volume       = {abs/1112.5683},
  year         = {2011},
  url          = {http://arxiv.org/abs/1112.5683},
  eprinttype    = {arXiv},
  eprint       = {1112.5683},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1112-5683.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijbc/PototskyJ10,
  author       = {Andrey Pototsky and
                  Natalia B. Janson},
  title        = {Global Dynamics in Networks of 1D Elements with Time Delayed Mean
                  Field Coupling Subject to Noise: Synchronization Threshold, Multistability
                  and Hysteresis},
  journal      = {Int. J. Bifurc. Chaos},
  volume       = {20},
  number       = {6},
  pages        = {1825--1836},
  year         = {2010},
  url          = {https://doi.org/10.1142/S0218127410026873},
  doi          = {10.1142/S0218127410026873},
  timestamp    = {Thu, 05 Nov 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ijbc/PototskyJ10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/CohnEFK10,
  author       = {Ido Cohn and
                  Tal El{-}Hay and
                  Nir Friedman and
                  Raz Kupferman},
  title        = {Mean Field Variational Approximation for Continuous-Time Bayesian
                  Networks},
  journal      = {J. Mach. Learn. Res.},
  volume       = {11},
  pages        = {2745--2783},
  year         = {2010},
  url          = {https://dl.acm.org/doi/10.5555/1756006.1953022},
  doi          = {10.5555/1756006.1953022},
  timestamp    = {Thu, 02 Jun 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jmlr/CohnEFK10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nhm/BordenaveMP10,
  author       = {Charles Bordenave and
                  David D. McDonald and
                  Alexandre Prouti{\`{e}}re},
  title        = {A particle system in interaction with a rapidly varying environment:
                  Mean field limits and applications},
  journal      = {Networks Heterog. Media},
  volume       = {5},
  number       = {1},
  pages        = {31--62},
  year         = {2010},
  url          = {https://doi.org/10.3934/nhm.2010.5.31},
  doi          = {10.3934/NHM.2010.5.31},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nhm/BordenaveMP10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/crowncom/TembineLJ10,
  author       = {Hamidou Tembine and
                  Samson Lasaulce and
                  Marc Jungers},
  editor       = {Erik Larsson and
                  Aawatif Hayar},
  title        = {Joint power control-allocation for green cognitive wireless networks
                  using mean field theory},
  booktitle    = {5th International {ICST} Conference on Cognitive Radio Oriented Wireless
                  Networks and Communications, {CROWNCOM} 2010, Cannes, France, June
                  9-11, 2010},
  pages        = {1--5},
  publisher    = {{ICST} / {IEEE}},
  year         = {2010},
  url          = {https://doi.org/10.4108/ICST.CROWNCOM2010.9219},
  doi          = {10.4108/ICST.CROWNCOM2010.9219},
  timestamp    = {Sun, 08 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/crowncom/TembineLJ10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fcs/GuoZL10,
  author       = {Weipeng Guo and
                  Pei Li Zhou and
                  Yongli Li},
  editor       = {Hamid R. Arabnia and
                  George A. Gravvanis and
                  Ashu M. G. Solo},
  title        = {The Extended Model of Rough Sets Theory Based on Panweighted Field
                  and Panweighted Networks in the Meaning of Recursive},
  booktitle    = {Proceedings of the 2010 International Conference on Foundations of
                  Computer Science, {FCS} 2010, July 12-15, 2010, Las Vegas, Nevada,
                  {USA}},
  pages        = {199--204},
  publisher    = {{CSREA} Press},
  year         = {2010},
  timestamp    = {Wed, 08 Dec 2010 08:03:41 +0100},
  biburl       = {https://dblp.org/rec/conf/fcs/GuoZL10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/qest/BakhshiEEFH10,
  author       = {Rena Bakhshi and
                  J{\"{o}}rg Endrullis and
                  Stefan Endrullis and
                  Wan J. Fokkink and
                  Boudewijn R. Haverkort},
  title        = {Automating the Mean-Field Method for Large Dynamic Gossip Networks},
  booktitle    = {{QEST} 2010, Seventh International Conference on the Quantitative
                  Evaluation of Systems, Williamsburg, Virginia, USA, 15-18 September
                  2010},
  pages        = {241--250},
  publisher    = {{IEEE} Computer Society},
  year         = {2010},
  url          = {https://doi.org/10.1109/QEST.2010.38},
  doi          = {10.1109/QEST.2010.38},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/qest/BakhshiEEFH10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1011-3710,
  author       = {James P. Gleeson and
                  Sergey Melnik and
                  Jonathan A. Ward and
                  Mason A. Porter and
                  Peter J. Mucha},
  title        = {How Accurate is Mean-Field Theory for Dynamics on Real-World Networks?},
  journal      = {CoRR},
  volume       = {abs/1011.3710},
  year         = {2010},
  url          = {http://arxiv.org/abs/1011.3710},
  eprinttype    = {arXiv},
  eprint       = {1011.3710},
  timestamp    = {Sun, 25 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1011-3710.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ficn/FaugerasTC09,
  author       = {Olivier D. Faugeras and
                  Jonathan Touboul and
                  Bruno Cessac},
  title        = {A constructive mean-field analysis of multi population neural networks
                  with random synaptic weights and stochastic inputs},
  journal      = {Frontiers Comput. Neurosci.},
  volume       = {3},
  pages        = {1},
  year         = {2009},
  url          = {https://doi.org/10.3389/neuro.10.001.2009},
  doi          = {10.3389/NEURO.10.001.2009},
  timestamp    = {Sat, 23 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ficn/FaugerasTC09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/teletraffic/Norros09,
  author       = {Ilkka Norros},
  title        = {A mean-field approach to some Internet-like random networks},
  booktitle    = {21st International Teletraffic Congress, {ITC} 2009, Paris, France,
                  September 15-17, 2009},
  pages        = {1--8},
  publisher    = {{IEEE}},
  year         = {2009},
  url          = {https://ieeexplore.ieee.org/document/5300239/},
  timestamp    = {Sat, 12 Nov 2022 12:58:30 +0100},
  biburl       = {https://dblp.org/rec/conf/teletraffic/Norros09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/uai/CohnEFK09,
  author       = {Ido Cohn and
                  Tal El{-}Hay and
                  Nir Friedman and
                  Raz Kupferman},
  editor       = {Jeff A. Bilmes and
                  Andrew Y. Ng},
  title        = {Mean Field Variational Approximation for Continuous-Time Bayesian
                  Networks},
  booktitle    = {{UAI} 2009, Proceedings of the Twenty-Fifth Conference on Uncertainty
                  in Artificial Intelligence, Montreal, QC, Canada, June 18-21, 2009},
  pages        = {91--100},
  publisher    = {{AUAI} Press},
  year         = {2009},
  url          = {https://www.auai.org/uai2009/papers/UAI2009\_0134\_c9c16e478d8e82ecc3848c5dc76b4925.pdf},
  timestamp    = {Tue, 25 Oct 2022 12:03:45 +0200},
  biburl       = {https://dblp.org/rec/conf/uai/CohnEFK09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hais/BenderskayaZ08,
  author       = {Elena N. Benderskaya and
                  Sofya V. Zhukova},
  editor       = {Emilio Corchado and
                  Ajith Abraham and
                  Witold Pedrycz},
  title        = {Clustering by Chaotic Neural Networks with Mean Field Calculated Via
                  Delaunay Triangulation},
  booktitle    = {Hybrid Artificial Intelligence Systems, Third International Workshop,
                  {HAIS} 2008, Burgos, Spain, September 24-26, 2008. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {5271},
  pages        = {408--416},
  publisher    = {Springer},
  year         = {2008},
  url          = {https://doi.org/10.1007/978-3-540-87656-4\_51},
  doi          = {10.1007/978-3-540-87656-4\_51},
  timestamp    = {Tue, 14 May 2019 10:00:51 +0200},
  biburl       = {https://dblp.org/rec/conf/hais/BenderskayaZ08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sigcomm/LelargeB08,
  author       = {Marc Lelarge and
                  Jean Bolot},
  editor       = {Joan Feigenbaum and
                  Yang Richard Yang},
  title        = {A local mean field analysis of security investments in networks},
  booktitle    = {Proceedings of the {ACM} {SIGCOMM} 2008 Workshop on Economics of Networked
                  Systems, NetEcon 2008, Seattle, WA, USA, August 22, 2008},
  pages        = {25--30},
  publisher    = {{ACM}},
  year         = {2008},
  url          = {https://doi.org/10.1145/1403027.1403034},
  doi          = {10.1145/1403027.1403034},
  timestamp    = {Thu, 27 Jan 2022 17:25:25 +0100},
  biburl       = {https://dblp.org/rec/conf/sigcomm/LelargeB08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0803-3455,
  author       = {Marc Lelarge and
                  Jean Bolot},
  title        = {A Local Mean Field Analysis of Security Investments in Networks},
  journal      = {CoRR},
  volume       = {abs/0803.3455},
  year         = {2008},
  url          = {http://arxiv.org/abs/0803.3455},
  eprinttype    = {arXiv},
  eprint       = {0803.3455},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-0803-3455.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/teletraffic/BordenaveMP07,
  author       = {Charles Bordenave and
                  David D. McDonald and
                  Alexandre Prouti{\`{e}}re},
  editor       = {Lorne Mason and
                  Tadeusz Drwiega and
                  James Yan},
  title        = {Random Multi-access Algorithms in Networks with Partial Interaction:
                  {A} Mean Field Analysis},
  booktitle    = {Managing Traffic Performance in Converged Networks, 20th International
                  Teletraffic Congress, {ITC20} 2007, Ottawa, Canada, June 17-21, 2007,
                  Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {4516},
  pages        = {779--790},
  publisher    = {Springer},
  year         = {2007},
  url          = {https://doi.org/10.1007/978-3-540-72990-7\_68},
  doi          = {10.1007/978-3-540-72990-7\_68},
  timestamp    = {Sat, 12 Nov 2022 12:58:31 +0100},
  biburl       = {https://dblp.org/rec/conf/teletraffic/BordenaveMP07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/valuetools/Proutiere07,
  author       = {Alexandre Prouti{\`{e}}re},
  editor       = {Peter W. Glynn},
  title        = {Random multi-access protocols in networks with partial interaction
                  and non-saturated nodes: a mean field approach},
  booktitle    = {Proceedings of the 2nd International Conference on Performance Evaluation
                  Methodolgies and Tools, {VALUETOOLS} 2007, Nantes, France, October
                  22-27, 2007},
  series       = {{ACM} International Conference Proceeding Series},
  pages        = {67},
  publisher    = {{ICST/ACM}},
  year         = {2007},
  url          = {https://doi.org/10.4108/inter-perf.2007.4},
  doi          = {10.4108/INTER-PERF.2007.4},
  timestamp    = {Tue, 27 Nov 2018 10:40:37 +0100},
  biburl       = {https://dblp.org/rec/conf/valuetools/Proutiere07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isipta/IdeC05,
  author       = {Jaime Shinsuke Ide and
                  F{\'{a}}bio Gagliardi Cozman},
  editor       = {F{\'{a}}bio Gagliardi Cozman and
                  Robert Nau and
                  Teddy Seidenfeld},
  title        = {Approximate Inference in Credal Networks by Variational Mean Field
                  Methods},
  booktitle    = {{ISIPTA} '05, Proceedings of the Fourth International Symposium on
                  Imprecise Probabilities and Their Applications, Carnegie Mellon University,
                  Pittsburgh, PA, USA, July 20-23 2005},
  pages        = {203--212},
  publisher    = {{SIPTA}},
  year         = {2005},
  timestamp    = {Fri, 06 Mar 2015 14:11:06 +0100},
  biburl       = {https://dblp.org/rec/conf/isipta/IdeC05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/CurtiMCA04,
  author       = {Emanuele Curti and
                  Gianluigi Mongillo and
                  Giancarlo La Camera and
                  Daniel J. Amit},
  title        = {Mean Field and Capacity in Realistic Networks of Spiking Neurons Storing
                  Sparsely Coded Random Memories},
  journal      = {Neural Comput.},
  volume       = {16},
  number       = {12},
  pages        = {2597--2637},
  year         = {2004},
  url          = {https://doi.org/10.1162/0899766042321805},
  doi          = {10.1162/0899766042321805},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/neco/CurtiMCA04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icoin/ChenHL04,
  author       = {Maoke Chen and
                  Tao He and
                  Xing Li},
  editor       = {Hyun{-}Kook Kahng},
  title        = {A Mean-Field Theory of Cellular Automata Model for Distributed Packet
                  Networks},
  booktitle    = {Information Networking, Networking Technologies for Broadband and
                  Mobile Networks, International Conference {ICOIN} 2004, Busan, Korea,
                  February 18-20, 2004, Revised Selected Papers},
  series       = {Lecture Notes in Computer Science},
  volume       = {3090},
  pages        = {773--783},
  publisher    = {Springer},
  year         = {2004},
  url          = {https://doi.org/10.1007/978-3-540-25978-7\_77},
  doi          = {10.1007/978-3-540-25978-7\_77},
  timestamp    = {Sun, 12 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/icoin/ChenHL04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/BofillGT03,
  author       = {Pau Bofill and
                  Roger Guimer{\`{a}} and
                  Carme Torras},
  title        = {Comparison of simulated annealing and mean field annealing as applied
                  to the generation of block designs},
  journal      = {Neural Networks},
  volume       = {16},
  number       = {10},
  pages        = {1421--1428},
  year         = {2003},
  url          = {https://doi.org/10.1016/j.neunet.2003.07.003},
  doi          = {10.1016/J.NEUNET.2003.07.003},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/BofillGT03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigmetrics/Marbukh03,
  author       = {Vladimir Marbukh},
  title        = {Towards mean field theory of wireless networks},
  journal      = {{SIGMETRICS} Perform. Evaluation Rev.},
  volume       = {31},
  number       = {2},
  pages        = {17--19},
  year         = {2003},
  url          = {https://doi.org/10.1145/959143.959154},
  doi          = {10.1145/959143.959154},
  timestamp    = {Sat, 25 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sigmetrics/Marbukh03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nn/HertzLA03,
  author       = {John Hertz and
                  Alexander Lerchner and
                  Mandana Ahmadi},
  editor       = {P{\'{e}}ter {\'{E}}rdi and
                  Anna Esposito and
                  Maria Marinaro and
                  Silvia Scarpetta},
  title        = {Mean Field Methods for Cortical Network Dynamics},
  booktitle    = {Computational Neuroscience: Cortical Dynamics, 8th International Summer
                  School on Neural Nets, Erice, Italy, October 31-November 6, 2003,
                  Revised Lectures},
  series       = {Lecture Notes in Computer Science},
  volume       = {3146},
  pages        = {71--89},
  publisher    = {Springer},
  year         = {2003},
  url          = {https://doi.org/10.1007/978-3-540-27862-7\_4},
  doi          = {10.1007/978-3-540-27862-7\_4},
  timestamp    = {Tue, 14 May 2019 10:00:54 +0200},
  biburl       = {https://dblp.org/rec/conf/nn/HertzLA03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jair/BhattacharyyaK01,
  author       = {Chiranjib Bhattacharyya and
                  S. Sathiya Keerthi},
  title        = {Mean Field Methods for a Special Class of Belief Networks},
  journal      = {J. Artif. Intell. Res.},
  volume       = {15},
  pages        = {91--114},
  year         = {2001},
  url          = {https://doi.org/10.1613/jair.734},
  doi          = {10.1613/JAIR.734},
  timestamp    = {Mon, 21 Jan 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jair/BhattacharyyaK01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/npl/DauceMPS01,
  author       = {Emmanuel Dauc{\'{e}} and
                  Olivier Moynot and
                  Olivier Pinaud and
                  Manuel Samuelides},
  title        = {Mean-field Theory and Synchronization in Random Recurrent Neural Networks},
  journal      = {Neural Process. Lett.},
  volume       = {14},
  number       = {2},
  pages        = {115--126},
  year         = {2001},
  url          = {https://doi.org/10.1023/A:1012435207437},
  doi          = {10.1023/A:1012435207437},
  timestamp    = {Thu, 09 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/npl/DauceMPS01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/npl/HumphreysT00,
  author       = {Keith Humphreys and
                  D. M. Titterington},
  title        = {Improving the Mean-Field Approximation in Belief Networks Using Bahadur's
                  Reparameterisation of the Multivariate Binary Distribution},
  journal      = {Neural Process. Lett.},
  volume       = {12},
  number       = {2},
  pages        = {183--197},
  year         = {2000},
  url          = {https://doi.org/10.1023/A:1009617914949},
  doi          = {10.1023/A:1009617914949},
  timestamp    = {Thu, 09 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/npl/HumphreysT00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ijcnn/PengJ00,
  author       = {Yun Peng and
                  Miao Jin},
  title        = {A Mean Field Approach to {MAP} in Belief Networks},
  booktitle    = {Proceedings of the {IEEE-INNS-ENNS} International Joint Conference
                  on Neural Networks, {IJCNN} 2000, Neural Computing: New Challenges
                  and Perspectives for the New Millennium, Como, Italy, July 24-27,
                  2000, Volume 5},
  pages        = {652},
  publisher    = {{IEEE} Computer Society},
  year         = {2000},
  url          = {https://doi.org/10.1109/IJCNN.2000.861543},
  doi          = {10.1109/IJCNN.2000.861543},
  timestamp    = {Fri, 24 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/ijcnn/PengJ00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/BhattacharyyaK00,
  author       = {Chiranjib Bhattacharyya and
                  S. Sathiya Keerthi},
  editor       = {Todd K. Leen and
                  Thomas G. Dietterich and
                  Volker Tresp},
  title        = {A Variational Mean-Field Theory for Sigmoidal Belief Networks},
  booktitle    = {Advances in Neural Information Processing Systems 13, Papers from
                  Neural Information Processing Systems {(NIPS)} 2000, Denver, CO, {USA}},
  pages        = {374--380},
  publisher    = {{MIT} Press},
  year         = {2000},
  url          = {https://proceedings.neurips.cc/paper/2000/hash/e74c0d42b4433905293aab661fcf8ddb-Abstract.html},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/BhattacharyyaK00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ijcnn/Tanaka99,
  author       = {Toshiyuki Tanaka},
  title        = {Exploration of mean-field approximation for feedforward networks},
  booktitle    = {International Joint Conference Neural Networks, {IJCNN} 1999, Washington,
                  DC, USA, July 10-16, 1999},
  pages        = {506--509},
  publisher    = {{IEEE}},
  year         = {1999},
  url          = {https://doi.org/10.1109/IJCNN.1999.831548},
  doi          = {10.1109/IJCNN.1999.831548},
  timestamp    = {Tue, 10 Aug 2021 14:29:47 +0200},
  biburl       = {https://dblp.org/rec/conf/ijcnn/Tanaka99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/Wang98,
  author       = {Lipo Wang},
  title        = {Effects of noise in training patterns on the memory capacity of the
                  fully connected binary Hopfield neural network: mean-field theory
                  and simulations},
  journal      = {{IEEE} Trans. Neural Networks},
  volume       = {9},
  number       = {4},
  pages        = {697--704},
  year         = {1998},
  url          = {https://doi.org/10.1109/72.701182},
  doi          = {10.1109/72.701182},
  timestamp    = {Mon, 11 Feb 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tnn/Wang98.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/WangA98,
  author       = {Gangsheng Wang and
                  Nirwan Ansari},
  title        = {Searching for optimal frame patterns in an integrated {TDMA} communication
                  system using mean field annealing},
  journal      = {{IEEE} Trans. Neural Networks},
  volume       = {9},
  number       = {6},
  pages        = {1292--1300},
  year         = {1998},
  url          = {https://doi.org/10.1109/72.728379},
  doi          = {10.1109/72.728379},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/WangA98.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/12/SaulJ98,
  author       = {Lawrence K. Saul and
                  Michael I. Jordan},
  editor       = {Michael I. Jordan},
  title        = {A Mean Field Learning Algorithm for Unsupervised Neural Networks},
  booktitle    = {Learning in Graphical Models},
  series       = {{NATO} {ASI} Series},
  volume       = {89},
  pages        = {541--554},
  publisher    = {Springer Netherlands},
  year         = {1998},
  url          = {https://doi.org/10.1007/978-94-011-5014-9\_20},
  doi          = {10.1007/978-94-011-5014-9\_20},
  timestamp    = {Thu, 01 Aug 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/sp/12/SaulJ98.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsac/WangA97,
  author       = {Gangsheng Wang and
                  Nirwan Ansari},
  title        = {Optimal Broadcast Scheduling in Packet Radio Networks Using Mean Field
                  Annealing},
  journal      = {{IEEE} J. Sel. Areas Commun.},
  volume       = {15},
  number       = {2},
  pages        = {250--260},
  year         = {1997},
  url          = {https://doi.org/10.1109/49.552074},
  doi          = {10.1109/49.552074},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jsac/WangA97.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/OhlssonP97,
  author       = {Mattias Ohlsson and
                  Hong Pi},
  title        = {A Study of the Mean Field Approach to Knapsack Problems},
  journal      = {Neural Networks},
  volume       = {10},
  number       = {2},
  pages        = {263--271},
  year         = {1997},
  url          = {https://doi.org/10.1016/S0893-6080(97)89067-3},
  doi          = {10.1016/S0893-6080(97)89067-3},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/OhlssonP97.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jair/SaulJJ96,
  author       = {Lawrence K. Saul and
                  Tommi S. Jaakkola and
                  Michael I. Jordan},
  title        = {Mean Field Theory for Sigmoid Belief Networks},
  journal      = {J. Artif. Intell. Res.},
  volume       = {4},
  pages        = {61--76},
  year         = {1996},
  url          = {https://doi.org/10.1613/jair.251},
  doi          = {10.1613/JAIR.251},
  timestamp    = {Mon, 21 Jan 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jair/SaulJJ96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/KuritaF96,
  author       = {Naoki Kurita and
                  Ken{-}ichi Funahashi},
  title        = {On the Hopfield Neural Networks and Mean Field Theory},
  journal      = {Neural Networks},
  volume       = {9},
  number       = {9},
  pages        = {1531--1540},
  year         = {1996},
  url          = {https://doi.org/10.1016/0893-6080(95)00129-8},
  doi          = {10.1016/0893-6080(95)00129-8},
  timestamp    = {Thu, 28 Nov 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/KuritaF96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/OpperW96,
  author       = {Manfred Opper and
                  Ole Winther},
  editor       = {Michael Mozer and
                  Michael I. Jordan and
                  Thomas Petsche},
  title        = {A Mean Field Algorithm for Bayes Learning in Large Feed-forward Neural
                  Networks},
  booktitle    = {Advances in Neural Information Processing Systems 9, NIPS, Denver,
                  CO, USA, December 2-5, 1996},
  pages        = {225--231},
  publisher    = {{MIT} Press},
  year         = {1996},
  url          = {http://papers.nips.cc/paper/1268-a-mean-field-algorithm-for-bayes-learning-in-large-feed-forward-neural-networks},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/OpperW96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/cs-AI-9603102,
  author       = {Lawrence K. Saul and
                  Tommi S. Jaakkola and
                  Michael I. Jordan},
  title        = {Mean Field Theory for Sigmoid Belief Networks},
  journal      = {CoRR},
  volume       = {cs.AI/9603102},
  year         = {1996},
  url          = {https://arxiv.org/abs/cs/9603102},
  timestamp    = {Fri, 10 Jan 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/cs-AI-9603102.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/AnsariHY95,
  author       = {Nirwan Ansari and
                  Edwin S. H. Hou and
                  Youyi Yu},
  title        = {A new method to optimize the satellite broadcasting schedules using
                  the mean field annealing of a Hopfield neural network},
  journal      = {{IEEE} Trans. Neural Networks},
  volume       = {6},
  number       = {2},
  pages        = {470--483},
  year         = {1995},
  url          = {https://doi.org/10.1109/72.363481},
  doi          = {10.1109/72.363481},
  timestamp    = {Fri, 09 Apr 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/AnsariHY95.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icnn/Burkitt95,
  author       = {Anthony N. Burkitt},
  title        = {Study of analogue neural networks that obey Dale's law using mean-field
                  theory},
  booktitle    = {Proceedings of International Conference on Neural Networks (ICNN'95),
                  Perth, WA, Australia, November 27 - December 1, 1995},
  pages        = {2583--2586},
  publisher    = {{IEEE}},
  year         = {1995},
  url          = {https://doi.org/10.1109/ICNN.1995.487815},
  doi          = {10.1109/ICNN.1995.487815},
  timestamp    = {Thu, 29 Aug 2019 08:54:05 +0200},
  biburl       = {https://dblp.org/rec/conf/icnn/Burkitt95.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/ZerubiaC93,
  author       = {Josiane Zerubia and
                  Rama Chellappa},
  title        = {Mean field annealing using compound Gauss-Markov random fields for
                  edge detection and image estimation},
  journal      = {{IEEE} Trans. Neural Networks},
  volume       = {4},
  number       = {4},
  pages        = {703--709},
  year         = {1993},
  url          = {https://doi.org/10.1109/72.238324},
  doi          = {10.1109/72.238324},
  timestamp    = {Mon, 26 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/ZerubiaC93.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/HellstromK92,
  author       = {Benjamin J. Hellstrom and
                  Laveen N. Kanal},
  title        = {Asymmetric mean-field neural networks for multiprocessor scheduling},
  journal      = {Neural Networks},
  volume       = {5},
  number       = {4},
  pages        = {671--686},
  year         = {1992},
  url          = {https://doi.org/10.1016/S0893-6080(05)80044-9},
  doi          = {10.1016/S0893-6080(05)80044-9},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nn/HellstromK92.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/BilbroSGG92,
  author       = {Griff L. Bilbro and
                  Wesley E. Snyder and
                  Stephen J. Garnier and
                  James W. Gault},
  title        = {Mean field annealing: a formalism for constructing GNC-like algorithms},
  journal      = {{IEEE} Trans. Neural Networks},
  volume       = {3},
  number       = {1},
  pages        = {131--138},
  year         = {1992},
  url          = {https://doi.org/10.1109/72.105426},
  doi          = {10.1109/72.105426},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tnn/BilbroSGG92.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ACMse/DevetsikiotisT92,
  author       = {Michael Devetsikiotis and
                  J. Keith Townsend},
  editor       = {Mladen A. Vouk and
                  Douglas S. Reeves and
                  Cherri M. Pancake},
  title        = {Optimization of importance sampling parameters for the efficient simulation
                  of communication networks and {ATM} switches using mean field annealing},
  booktitle    = {Proceedings of the 30th Annual Southeast Regional Conference, 1992,
                  Raleigh, North Carolina, USA, April 8-10, 1992},
  pages        = {100--107},
  publisher    = {{ACM}},
  year         = {1992},
  url          = {https://doi.org/10.1145/503720.503757},
  doi          = {10.1145/503720.503757},
  timestamp    = {Fri, 12 Mar 2021 15:27:48 +0100},
  biburl       = {https://dblp.org/rec/conf/ACMse/DevetsikiotisT92.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/PetersonH89,
  author       = {Carsten Peterson and
                  Eric Hartman},
  title        = {Explorations of the mean field theory learning algorithm},
  journal      = {Neural Networks},
  volume       = {2},
  number       = {6},
  pages        = {475--494},
  year         = {1989},
  url          = {https://doi.org/10.1016/0893-6080(89)90045-2},
  doi          = {10.1016/0893-6080(89)90045-2},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nn/PetersonH89.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/compsys/PetersonA87,
  author       = {Carsten Peterson and
                  James R. Anderson},
  title        = {A Mean Field Theory Learning Algorithm for Neural Networks},
  journal      = {Complex Syst.},
  volume       = {1},
  number       = {5},
  year         = {1987},
  url          = {http://www.complex-systems.com/abstracts/v01\_i05\_a06.html},
  timestamp    = {Fri, 11 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/compsys/PetersonA87.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/Scofield87,
  author       = {Christopher L. Scofield},
  editor       = {Dana Z. Anderson},
  title        = {A Mean Field Theory of Layer {IV} of Visual Cortex and Its Application
                  to Artificial Neural Networks},
  booktitle    = {Neural Information Processing Systems, Denver, Colorado, USA, 1987},
  pages        = {683--692},
  publisher    = {American Institue of Physics},
  year         = {1987},
  url          = {http://papers.nips.cc/paper/10-a-mean-field-theory-of-layer-iv-of-visual-cortex-and-its-application-to-artificial-neural-networks},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/Scofield87.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
a service of  Schloss Dagstuhl - Leibniz Center for Informatics