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Mean-field games (MFGs) are a modeling framework for systems with a large number of interacting agents.
A computational fluid mechanics solution to the monge-kantorovich mass transfer problem
Jean-David Benamou and Yann Brenier · 2000
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A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics
David Martin, Charless Fowlkes, Doron Tal, and Jitendra Malik · 2001
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Modeling the shape of the scene: A holistic representation of the spatial envelope
Aude Oliva and Antonio Torralba · 2001
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Real Analysis and Probability
R. M. Dudley · 2002
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Large population stochastic dynamic games: closed-loop mckean-vlasov systems and the nash certainty equivalence principle
Minyi Huang, Roland P Malhamé, Peter E Caines, et al · 2006
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Large-population cost-coupled lqg problems with nonuniform agents: individual-mass behavior and decentralized ε \varepsilon -nash equilibria
Minyi Huang, Peter E Caines, and Roland P Malhamé · 2007
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Mean field games
Jean-Michel Lasry and Pierre-Louis Lions · 2007
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Gradient flows: in metric spaces and in the space of probability measures
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2008
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Mean field games: numerical methods
Yves Achdou and Italo Capuzzo-Dolcetta · 2010
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Mean field games and applications
Olivier Guéant, Jean-Michel Lasry, and Pierre-Louis Lions · 2011
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Reading digits in natural images with unsupervised feature learning
Yuval Netzer, Tao Wang, Adam Coates, Alessandro Bissacco, Bo Wu, and Andrew Y Ng · 2011
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Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi · 2013
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Auto-encoding variational bayes
Diederik P Kingma and Max Welling · 2013
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Partial differential equation models in macroeconomics
Yves Achdou, Francisco J Buera, Jean-Michel Lasry, Pierre-Louis Lions, and Benjamin Moll · 2014
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Nice: Non-linear independent components estimation
Laurent Dinh, David Krueger, and Yoshua Bengio · 2014
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Generative adversarial nets
Ian Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
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Adam: A method for stochastic optimization
Diederik P Kingma and Jimmy Ba · 2014
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Optimal transport with proximal splitting
Nicolas Papadakis, Gabriel Peyré, and Edouard Oudet · 2014
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Augmented lagrangian methods for transport optimization, mean-field games and degenerate pdes
Jean-David Benamou and Guillaume Carlier · 2015
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From word embeddings to document distances
Matt Kusner, Yu Sun, Nicholas Kolkin, and Kilian Weinberger · 2015
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Deeply-supervised nets
Chen-Yu Lee, Saining Xie, Patrick Gallagher, Zhengyou Zhang, and Zhuowen Tu · 2015
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Norm-based capacity control in neural networks
Behnam Neyshabur, Ryota Tomioka, and Nathan Srebro · 2015
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Density estimation using real nvp
Laurent Dinh, Jascha Sohl-Dickstein, and Samy Bengio · 2016
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Improved variational inference with inverse autoregressive flow
Durk P Kingma, Tim Salimans, Rafal Jozefowicz, Xi Chen, Ilya Sutskever, and Max Welling · 2016
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Efficiency of the price formation process in presence of high frequency participants: a mean field game analysis
Aimé Lachapelle, Jean-Michel Lasry, Charles-Albert Lehalle, and Pierre-Louis Lions · 2016
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Wasserstein generative adversarial networks
Martin Arjovsky, Soumith Chintala, and Léon Bottou · 2017
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Spectrally-normalized margin bounds for neural networks
Peter L Bartlett, Dylan J Foster, and Matus J Telgarsky · 2017
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Variational mean field games
Learning mean-field games
Xin Guo, Anran Hu, Renyuan Xu, and Junzi Zhang · 2019
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Eurosat: A novel dataset and deep learning benchmark for land use and land cover classification
Patrick Helber, Benjamin Bischke, Andreas Dengel, and Damian Borth · 2019
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Flow++: Improving flow-based generative models with variational dequantization and architecture design
Jonathan Ho, Xi Chen, Aravind Srinivas, Yan Duan, and Pieter Abbeel · 2019
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Solving large-scale optimization problems with a convergence rate independent of grid size
Matt Jacobs, Flavien Léger, Wuchen Li, and Stanley Osher · 2019
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Sum-of-squares polynomial flow
Priyank Jaini, Kira A Selby, and Yaoliang Yu · 2019
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A mean field game-based distributed edge caching in fog radio access networks
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Jean-David Benamou, Guillaume Carlier, and Filippo Santambrogio · 2017
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Parseval networks: Improving robustness to adversarial examples
Moustapha Cisse, Piotr Bojanowski, Edouard Grave, Yann Dauphin, and Nicolas Usunier · 2017
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UCI machine learning repository, 2017
Dheeru Dua and Casey Graff · 2017
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An optimal execution problem in finance targeting the market trading speed: An mfg formulation
Dena Firoozi and Peter E Caines · 2017
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Optimal mass transport: Signal processing and machine-learning applications
Soheil Kolouri, Se Rim Park, Matthew Thorpe, Dejan Slepcev, and Gustavo K Rohde · 2017
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Masked autoregressive flow for density estimation
George Papamakarios, Theo Pavlakou, and Iain Murray · 2017
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Mean field game of controls and an application to trade crowding
Pierre Cardaliaguet and Charles-Albert Lehalle · 2018
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Yanxiang Jiang, Yabai Hu, Mehdi Bennis, Fu-Chun Zheng, and Xiaohu You · 2019
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Neural importance sampling
Thomas Müller, Brian McWilliams, Fabrice Rousselle, Markus Gross, and Jan Novák · 2019
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Computational optimal transport: With applications to data science
Gabriel Peyré and Marco Cuturi · 2019
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Unconstrained monotonic neural networks
Antoine Wehenkel and Gilles Louppe · 2019
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normalizing_flows
Kamen Bliznashki · 2020
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How to train your neural ode: the world of jacobian and kinetic regularization
Chris Finlay, Jörn-Henrik Jacobsen, Levon Nurbekyan, and Adam Oberman · 2020
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Normalizing flows: An introduction and review of current methods
Ivan Kobyzev, Simon Prince, and Marcus Brubaker · 2020
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A machine learning framework for solving high-dimensional mean field game and mean field control problems
Lars Ruthotto, Stanley J Osher, Wuchen Li, Levon Nurbekyan, and Samy Wu Fung · 2020
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Coupling-based invertible neural networks are universal diffeomorphism approximators
Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, and Masashi Sugiyama · 2020
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A mean field game model for the evolution of cities
César Barilla, Guillaume Carlier, and Jean-Michel Lasry · 2021
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Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
Alex Tong Lin, Samy Wu Fung, Wuchen Li, Levon Nurbekyan, and Stanley J. Osher · 2021
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Ot-flow: Fast and accurate continuous normalizing flows via optimal transport
Derek Onken, S Wu Fung, Xingjian Li, and Lars Ruthotto · 2021
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A fast proximal gradient method and convergence analysis for dynamic mean field planning
Jiajia Yu, Rongjie Lai, Wuchen Li, and Stanley Osher · 2021
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Energy efficient resource allocation in cache based terahertz vehicular networks: a mean-field game approach
Yaomin Zhang, Haijun Zhang, and Keping Long · 2021
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Income and wealth distribution in macroeconomics: A continuous-time approach
Yves Achdou, Jiequn Han, Jean-Michel Lasry, Pierre-Louis Lions, and Benjamin Moll · 2022
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Coupled alternating neural networks for solving multi-population high-dimensional mean-field games with stochasticity
Guofang Wang, Wang Yao, Xiao Zhang, and Zijia Niu · 2022
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