Propagation of chaos: a review of models, methods and applications. II. Applications
The notion of propagation of chaos for large systems of interacting particles originates in
statistical physics and has recently become a central notion in many areas of applied …
statistical physics and has recently become a central notion in many areas of applied …
Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning
We investigate the implementation of a new stochastic Kuramoto-Vicsek-type model for
global optimization of nonconvex functions on the sphere. This model belongs to the class of …
global optimization of nonconvex functions on the sphere. This model belongs to the class of …
[HTML][HTML] Learning mean-field equations from particle data using WSINDy
We develop a weak-form sparse identification method for interacting particle systems (IPS)
with the primary goals of reducing computational complexity for large particle number N and …
with the primary goals of reducing computational complexity for large particle number N and …
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit
We introduce a new stochastic differential model for global optimization of nonconvex
functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto …
functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto …
On the mean‐field limit for the consensus‐based optimization
This paper is concerned with the large particle limit for the consensus‐based optimization
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …
Anisotropic diffusion in consensus-based optimization on the sphere
In this paper, we are concerned with the global minimization of a possibly nonsmooth and
nonconvex objective function constrained on the unit hypersphere by means of a multi-agent …
nonconvex objective function constrained on the unit hypersphere by means of a multi-agent …
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations
The well‐posedness and regularity properties of diffusion–aggregation equations, emerging
from interacting particle systems, are established on the whole space for bounded …
from interacting particle systems, are established on the whole space for bounded …
On the mean-field limit for the Vlasov–Poisson–Fokker–Planck system
We rigorously justify the mean-field limit of an N-particle system subject to Brownian motions
and interacting through the Newtonian potential in R^ 3 R 3. Our result leads to a derivation …
and interacting through the Newtonian potential in R^ 3 R 3. Our result leads to a derivation …
Quantitative relative entropy estimates on the whole space for convolution interaction forces
Quantitative estimates are derived, on the whole space, for the relative entropy between the
joint law of random interacting particles and the tensorized law at the limiting systeme. The …
joint law of random interacting particles and the tensorized law at the limiting systeme. The …
The microscopic derivation and well-posedness of the stochastic Keller–Segel equation
In this paper, we propose and study a stochastic aggregation–diffusion equation of the
Keller–Segel (KS) type for modeling the chemotaxis in dimensions d= 2, 3 d= 2, 3. Unlike the …
Keller–Segel (KS) type for modeling the chemotaxis in dimensions d= 2, 3 d= 2, 3. Unlike the …