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Recent advances in deep learning has witnessed many innovative frameworks that solve high dimensional mean-field games (MFG) accurately and efficiently.
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Jean-David Benamou, Guillaume Carlier, and Filippo Santambrogio · 2017
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Fourier neural operator for parametric partial differential equations
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Multipole graph neural operator for parametric partial differential equations
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Optimal transport mapping via input convex neural networks
Ashok Makkuva, Amirhossein Taghvaei, Sewoong Oh, and Jason Lee · 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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Neural operator: Learning maps between function spaces
Nikola Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew Stuart, and Anima Anandkumar · 2021
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Attention is all you need
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Łukasz Kaiser, and Illia Polosukhin · 2017
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A mean field game approach to swarming robots control
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Foldingnet: Point cloud auto-encoder via deep grid deformation
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The deep ritz method: a deep learning-based numerical algorithm for solving variational problems
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Learning mean-field games
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Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
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Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
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Energy efficient resource allocation in cache based terahertz vehicular networks: a mean-field game approach
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Income and wealth distribution in macroeconomics: A continuous-time approach
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Generalization in mean field games by learning master policies
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Bridging mean-field games and normalizing flows with trajectory regularization
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In-context operator learning with data prompts for differential equation problems
Liu Yang, Siting Liu, Tingwei Meng, and Stanley J Osher · 2023
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Computational mean-field games on manifolds
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https://www.kaggle.com/datasets/cristiangarcia/pointcloudmnist2d/data
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