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We develop Random Batch Methods for interacting particle systems with large number of particles.
Irreversibility and generalized noise
H. B. Callen and T. A. Welton · 1951
Earlier work this paper cites.
Foundations of kinetic theory
M. Kac · 1956
Earlier work this paper cites.
A Brownian-motion model for the eigenvalues of a random matrix
F. J. Dyson · 1962
Earlier work this paper cites.
Approach to translational equilibrium in a rigid sphere gas
G. A. Bird · 1963
Earlier work this paper cites.
Algorithm 235: random permutation
R. Durstenfeld · 1964
Earlier work this paper cites.
Propagation of chaos for a class of non-linear parabolic equations
H. P. McKean · 1967
Earlier work this paper cites.
Monte Carlo Sampling Methods Using Markov Chains and Their Applications
W. K. Hastings · 1970
Earlier work this paper cites.
Phase transitions and critical phenomena
H. E. Stanley · 1971
Earlier work this paper cites.
Direct simulation scheme derived from the Boltzmann equation. i. monocomponent gases
Kenichi Nanbu · 1980
Earlier work this paper cites.
Stochastic block models: First steps
P. W Holland, K. B. Laskey, and S. Leinhardt · 1983
Earlier work this paper cites.
Rapid solution of integral equations of classical potential theory
V. Rokhlin · 1985
Earlier work this paper cites.
Some comments on the Sherrington-Kirkpatrick model of spin glasses
J. Fröhlich and B. Zegarlinski · 1987
Earlier work this paper cites.
A convergence proof for Nanbu’s simulation method for the full Boltzmann equation
Hans Babovsky and Reinhard Illner · 1989
Earlier work this paper cites.
A convergence proof for Bird’s direct simulation Monte Carlo method for the Boltzmann equation
W. Wagner · 1992
Earlier work this paper cites.
Molecular Gas Dynamics and the Direct Simulation Monte Carlo of Gas Flows
G. A. Bird · 1994
Earlier work this paper cites.
Novel type of phase transition in a system of self-driven particles
T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet · 1995
Earlier work this paper cites.
Markov chain Monte Carlo in practice
W. R Gilks, S. Richardson, and D. Spiegelhalter · 1995
Earlier work this paper cites.
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg · 1996
Earlier work this paper cites.
Nonlinear self-stabilizing processes–i existence, invariant probability, propagation of chaos
S Benachour, B Roynette, D Talay, and P Vallois · 1998
Earlier work this paper cites.
Online learning and stochastic approximations
L. Bottou · 1998
Earlier work this paper cites.
Wealth condensation in a simple model of economy
J.-P. Bouchaud and M. Mézard · 2000
Earlier work this paper cites.
Crystalline order on a sphere and the generalized Thomson problem
M. Bowick, A. Cacciuto, D. R. Nelson, and A. Travesset · 2002
Earlier work this paper cites.
Stochastic analysis on manifolds
E. P. Hsu · 2002
Earlier work this paper cites.
From 1970 until present: the Keller-Segel model in chemotaxis and its consequences
D. Horstmann · 2003
Earlier work this paper cites.
Stochastic differential equations: an introduction with applications
B. Øksendal · 2003
Earlier work this paper cites.
The mean-field limit for the dynamics of large particle systems
F. Golse · 2003
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AR Bausch, MJ Bowick, A Cacciuto, AD Dinsmore, MF Hsu, DR Nelson, MG Nikolaides, A Travesset, and DA Weitz · 2003
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S. Franz and F. L. Toninelli · 2004
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Fast monte carlo algorithms for matrices i: Approximating matrix multiplication
P. Drineas, R. Kannan, and M. W. Mahoney · 2006
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Z. Yao · 2016
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Robust and efficient multi-way spectral clustering
A. Damle, V. Minden, and L. Ying · 2016
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T. Lelievre and G. Stoltz · 2016
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