Fetching the paper…
Reading the bibliography…
Mean-Field Game (MFG) serves as a crucial mathematical framework in modeling the collective behavior of individual agents interacting stochastically with a large population.
Über die umkehrung der naturgesetze
Erwin Schrödinger · 1931
Earlier work this paper cites.
Sur la théorie relativiste de l’électron et l’interprétation de la mécanique quantique
Erwin Schrödinger · 1932
Earlier work this paper cites.
The partial differential equation ut+ uux= μ \mu xx
Eberhard Hopf · 1950
Earlier work this paper cites.
On a quasi-linear parabolic equation occurring in aerodynamics
Julian D Cole · 1951
Earlier work this paper cites.
On stochastic differential equations , volume 4
Kiyosi Itô · 1951
Earlier work this paper cites.
The theory of dynamic programming
Richard Bellman · 1954
Earlier work this paper cites.
Probability densities with given marginals
Solomon Kullback · 1968
Earlier work this paper cites.
Biased assimilation and attitude polarization: The effects of prior theories on subsequently considered evidence
Charles G Lord, Lee Ross, and Mark R Lepper · 1979
Earlier work this paper cites.
Reverse-time diffusion equation models
Brian DO Anderson · 1982
Earlier work this paper cites.
On free energy, stochastic control, and schrödinger processes
Michele Pavon and Anton Wakolbinger · 1991
Earlier work this paper cites.
A stochastic control approach to reciprocal diffusion processes
Paolo Dai Pra · 1991
Earlier work this paper cites.
Backward stochastic differential equations and quasilinear parabolic partial differential equations
Etienne Pardoux and Shige Peng · 1992
Earlier work this paper cites.
Stochastic controls: Hamiltonian systems and HJB equations , volume 43
Jiongmin Yong and Xun Yu Zhou · 1999
Earlier work this paper cites.
Backward stochastic differential equations and partial differential equations with quadratic growth
Magdalena Kobylanski · 2000
Earlier work this paper cites.
Mean field games
Jean-Michel Lasry and Pierre-Louis Lions · 2007
Earlier work this paper cites.
Efficient computation of optimal actions
Emanuel Todorov · 2009
Earlier work this paper cites.
Mean field games and applications
Olivier Guéant, Jean-Michel Lasry, and Pierre-Louis Lions · 2011
Earlier work this paper cites.
From the schrödinger problem to the monge–kantorovich problem
Christian Léonard · 2012
Earlier work this paper cites.
Mean field games and mean field type control theory , volume 101
Alain Bensoussan, Jens Frehse, Phillip Yam, et al · 2013
Earlier work this paper cites.
Control of mckean–vlasov dynamics versus mean field games
René Carmona, François Delarue, and Aimé Lachapelle · 2013
Earlier work this paper cites.
Mean field forward-backward stochastic differential equations
René Carmona and François Delarue · 2013
Earlier work this paper cites.
Christian Léonard · 2013
Earlier work this paper cites.
Playing atari with deep reinforcement learning
Volodymyr Mnih, Koray Kavukcuoglu, David Silver, Alex Graves, Ioannis Antonoglou, Daan Wierstra, and Martin Riedmiller · 2013
Earlier work this paper cites.
Biased assimilation, homophily, and the dynamics of polarization
Pranav Dandekar, Ashish Goel, and David T Lee · 2013
Cited alongside, same era.
Partial differential equation models in macroeconomics
Yves Achdou, Francisco J Buera, Jean-Michel Lasry, Pierre-Louis Lions, and Benjamin Moll · 2014
Cited alongside, same era.
Stochastic processes and applications: diffusion processes, the Fokker-Planck and Langevin equations , volume 60
Grigorios A Pavliotis · 2014
Cited alongside, same era.
Optimal steering of inertial particles diffusing anisotropically with losses
Yongxin Chen, Tryphon Georgiou, and Michele Pavon · 2015
Cited alongside, same era.
Iterative bregman projections for regularized transportation problems
Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, and Gabriel Peyré · 2015
Cited alongside, same era.
Yiping Lu, Chao Ma, Yulong Lu, Jianfeng Lu, and Lexing Ying · 2020
Later among the works it cites.
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
Later among the works it cites.
The mean field schrödinger problem: ergodic behavior, entropy estimates and functional inequalities
Julio Backhoff, Giovanni Conforti, Ivan Gentil, and Christian Léonard · 2020
Later among the works it cites.
Score-based generative modeling through stochastic differential equations
Yang Song, Jascha Sohl-Dickstein, Diederik P Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole · 2020
Later among the works it cites.
Dynamical theories of Brownian motion , volume 106
Edward Nelson · 2020
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Timothy P Lillicrap, Jonathan J Hunt, Alexander Pritzel, Nicolas Heess, Tom Erez, Yuval Tassa, David Silver, and Daan Wierstra · 2015
Cited alongside, same era.
Trust region policy optimization
John Schulman, Sergey Levine, Pieter Abbeel, Michael Jordan, and Philipp Moritz · 2015
Cited alongside, same era.
Effective multi-step temporal-difference learning for non-linear function approximation
Harm van Seijen · 2016
Cited alongside, same era.
Decoupled weight decay regularization
Ilya Loshchilov and Frank Hutter · 2017
Cited alongside, same era.
Automatic differentiation in pytorch
Adam Paszke, Sam Gross, Soumith Chintala, Gregory Chanan, Edward Yang, Zachary DeVito, Zeming Lin, Alban Desmaison, Luca Antiga, and Adam Lerer · 2017
Cited alongside, same era.
A mean field game approach to swarming robots control
Zhiyu Liu, Bo Wu, and Hai Lin · 2018
Cited alongside, same era.
A mean-field optimal control formulation of deep learning
E Weinan, Jiequn Han, and Qianxiao Li · 2018
Cited alongside, same era.
Later among the works it cites.
Polarization in geometric opinion dynamics
Jason Gaitonde, Jon Kleinberg, and Éva Tardos · 2021
Later among the works it cites.
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
Later among the works it cites.
Density control of interacting agent systems
Yongxin Chen · 2021
Later among the works it cites.
Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games i: the ergodic case
René Carmona and Mathieu Laurière · 2021
Later among the works it cites.
Diffusion schrödinger bridge with applications to score-based generative modeling
Valentin De Bortoli, James Thornton, Jeremy Heng, and Arnaud Doucet · 2021
Later among the works it cites.
Solving schrödinger bridges via maximum likelihood
Francisco Vargas, Pierre Thodoroff, Neil D Lawrence, and Austen Lamacraft · 2021
Later among the works it cites.
Deep generative learning via schrödinger bridge
Gefei Wang, Yuling Jiao, Qian Xu, Yang Wang, and Can Yang · 2021
Later among the works it cites.
Likelihood training of schrödinger bridge using forward-backward sdes theory
Tianrong Chen, Guan-Horng Liu, and Evangelos A Theodorou · 2021
Later among the works it cites.
Wasserstein proximal algorithms for the schrödinger bridge problem: Density control with nonlinear drift
Kenneth Caluya and Abhishek Halder · 2021
Later among the works it cites.
Machine-learning approaches for the empirical schrödinger bridge problem
Francisco Vargas · 2021
Later among the works it cites.
Path integral sampler: a stochastic control approach for sampling
Qinsheng Zhang and Yongxin Chen · 2021
Later among the works it cites.
Value iteration in continuous actions, states and time
Michael Lutter, Shie Mannor, Jan Peters, Dieter Fox, and Animesh Garg · 2021
Later among the works it cites.
The effect of multi-step methods on overestimation in deep reinforcement learning
Lingheng Meng, Rob Gorbet, and Dana Kulić · 2021
Later among the works it cites.
Balint Negyesi, Kristoffer Andersson, and Cornelis W Oosterlee · 2021
Later among the works it cites.
Maximum likelihood training of score-based diffusion models
Yang Song, Conor Durkan, Iain Murray, and Stefano Ermon · 2021
Later among the works it cites.
A variational perspective on diffusion-based generative models and score matching
Chin-Wei Huang, Jae Hyun Lim, and Aaron Courville · 2021
Later among the works it cites.
Income and wealth distribution in macroeconomics: A continuous-time approach
Yves Achdou, Jiequn Han, Jean-Michel Lasry, Pierre-Louis Lions, and Benjamin Moll · 2022
Closest in time.
Recovering stochastic dynamics via gaussian schr \ \backslash " odinger bridges
Charlotte Bunne, Ya-Ping Hsieh, Marco Cuturi, and Andreas Krause · 2022
Closest in time.