Numerical methods for mean field games based on Gaussian processes and Fourier features
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Publication:2137987
DOI10.1016/j.jcp.2022.111188OpenAlexW4200632387WikidataQ114163327 ScholiaQ114163327MaRDI QIDQ2137987
Chenchen Mou, Xianjin Yang, Chao Zhou
Publication date: 11 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05414
Game theory (91Axx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Related Items
Random features for high-dimensional nonlocal mean-field games, Machine learning architectures for price formation models, Sparse Gaussian processes for solving nonlinear PDEs
Cites Work
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- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
- Mean field games
- Two numerical approaches to stationary mean-field games
- First-order, stationary mean-field games with congestion
- On stationary fractional mean field games
- Iterative strategies for solving linearized discrete mean field games systems
- Numerical methods for finite-state mean-field games satisfying a monotonicity condition
- Solving and learning nonlinear PDEs with Gaussian processes
- Kernel flows: from learning kernels from data into the abyss
- Mean field games and applications: numerical aspects
- A mean-field game approach to price formation
- Fourier approximation methods for first-order nonlocal mean-field games
- An invariance principle in large population stochastic dynamic games
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Mean Field Games: Numerical Methods for the Planning Problem
- Mean Field Games and Applications
- Proximal Methods for Stationary Mean Field Games with Local Couplings
- Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation
- Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
- On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings
- The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures
- Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case
- Computational Methods for First-Order Nonlocal Mean Field Games with Applications
- Mean Field Games for Modeling Crowd Motion
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Mean Field Games: Numerical Methods
