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2002.10113
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Alternating the Population and Control Neural Networks to Solve High-Dimensional Stochastic Mean-Field Games
Proceedings of the National Academy of Sciences of the United States of America (PNAS), 2020
24 February 2020
A. Lin
Samy Wu Fung
Wuchen Li
L. Nurbekyan
Stanley J. Osher
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Papers citing
"Alternating the Population and Control Neural Networks to Solve High-Dimensional Stochastic Mean-Field Games"
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End-to-End Training of High-Dimensional Optimal Control with Implicit Hamiltonians via Jacobian-Free Backpropagation
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Nicole Tianjiao Yang
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268
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01 Oct 2025
Exact Solutions to the Quantum Schrödinger Bridge Problem
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Marco Bertolini
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239
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30 Sep 2025
Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
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Shu Liu
Mo Zhou
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30 Sep 2025
Gaussian process policy iteration with additive Schwarz acceleration for forward and inverse HJB and mean field game problems
Xianjin Yang
Jingguo Zhang
234
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01 May 2025
Steering Large Agent Populations using Mean-Field Schrodinger Bridges with Gaussian Mixture Models
George Rapakoulias
Ali Reza Pedram
Panagiotis Tsiotras
356
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31 Mar 2025
Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
Journal of Computational Physics (JCP), 2024
Mo Zhou
Stanley Osher
Wuchen Li
379
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24 Sep 2024
Dynamical Measure Transport and Neural PDE Solvers for Sampling
Jingtong Sun
Julius Berner
Lorenz Richter
Marius Zeinhofer
Johannes Müller
Kamyar Azizzadenesheli
Anima Anandkumar
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DiffM
246
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10 Jul 2024
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations
Han Huang
Rongjie Lai
373
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27 Jan 2024
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws
Journal of Computational Physics (JCP), 2024
Liu Yang
Stanley J. Osher
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14 Jan 2024
Decoding Mean Field Games from Population and Environment Observations By Gaussian Processes
Journal of Computational Physics (JCP), 2023
Jinyan Guo
Chenchen Mou
Xianjin Yang
Chao Zhou
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384
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08 Dec 2023
Generalized Schrödinger Bridge Matching
International Conference on Learning Representations (ICLR), 2023
Guan-Horng Liu
Y. Lipman
Maximilian Nickel
Brian Karrer
Evangelos A. Theodorou
Ricky T. Q. Chen
DiffM
302
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03 Oct 2023
In-Context Operator Learning with Data Prompts for Differential Equation Problems
Proceedings of the National Academy of Sciences of the United States of America (PNAS), 2023
Liu Yang
Siting Liu
Tingwei Meng
Stanley J. Osher
405
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17 Apr 2023
Reimagining Demand-Side Management with Mean Field Learning
B. Moreno
Margaux Brégère
Pierre Gaillard
Nadia Oudjane
254
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16 Feb 2023
Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme
Scientific Reports (Sci Rep), 2022
Alexander Vidal
Samy Wu Fung
Luis Tenorio
Stanley Osher
L. Nurbekyan
256
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0
30 Nov 2022
Entropic Neural Optimal Transport via Diffusion Processes
Neural Information Processing Systems (NeurIPS), 2022
Nikita Gushchin
Alexander Kolesov
Alexander Korotin
Dmitry Vetrov
Evgeny Burnaev
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DiffM
354
53
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02 Nov 2022
Mean-field neural networks: learning mappings on Wasserstein space
Neural Networks (NN), 2022
H. Pham
X. Warin
362
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27 Oct 2022
Deep Generalized Schrödinger Bridge
Neural Information Processing Systems (NeurIPS), 2022
Guan-Horng Liu
T. Chen
Oswin So
Evangelos A. Theodorou
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386
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20 Sep 2022
Mean-Field Control Approach to Decentralized Stochastic Control with Finite-Dimensional Memories
Takehiro Tottori
Tetsuya J. Kobayashi
166
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12 Sep 2022
Multi-Agent Shape Control with Optimal Transport
A. Lin
Stanley J. Osher
OT
220
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30 Jun 2022
Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization
Journal of Computational Physics (JCP), 2022
Han Huang
Jiajia Yu
Jie Chen
Rongjie Lai
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224
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30 Jun 2022
Explainable AI via Learning to Optimize
Scientific Reports (Sci Rep), 2022
Howard Heaton
Samy Wu Fung
367
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29 Apr 2022
Provably convergent quasistatic dynamics for mean-field two-player zero-sum games
International Conference on Learning Representations (ICLR), 2022
Chao Ma
Lexing Ying
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243
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15 Feb 2022
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method
Journal of Computational Physics (JCP), 2021
Zhongjian Wang
Jack Xin
Zhiwen Zhang
414
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0
02 Nov 2021
JFB: Jacobian-Free Backpropagation for Implicit Networks
AAAI Conference on Artificial Intelligence (AAAI), 2021
Samy Wu Fung
Howard Heaton
Qiuwei Li
Daniel McKenzie
Stanley Osher
W. Yin
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516
121
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23 Mar 2021
An overview on deep learning-based approximation methods for partial differential equations
C. Beck
Martin Hutzenthaler
Arnulf Jentzen
Benno Kuckuck
694
176
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22 Dec 2020
Connecting GANs, MFGs, and OT
SIAM Journal on Applied Mathematics (SIAM J. Appl. Math.), 2020
Haoyang Cao
Xin Guo
Mathieu Laurière
GAN
498
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0
10 Feb 2020
Mean-Field and Kinetic Descriptions of Neural Differential Equations
Foundations of Data Science (FDS), 2020
Michael Herty
T. Trimborn
G. Visconti
562
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07 Jan 2020
Linear-Quadratic Mean-Field Reinforcement Learning: Convergence of Policy Gradient Methods
René Carmona
Mathieu Laurière
Zongjun Tan
313
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09 Oct 2019
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