7 papers
Quantitative estimate of the overdamped limit for the Vlasov-Fokker-Planck systems
Hui Huang
This note adapts a probabilistic approach to establish a quantified estimate of the overdamped limit for the Vlasov-Fokker-Planck equation towards the aggregation-diffusion equatio…
Mean-field particle swarm optimization
Sara Grassi, Hui Huang, Lorenzo Pareschi +1
In this work we survey some recent results on the global minimization of a non-convex and possibly non-smooth high dimensional objective function by means of particle based gradien…
Anisotropic Diffusion in Consensus-based Optimization on the Sphere
Massimo Fornasier, Hui Huang, Lorenzo Pareschi +1
In this paper we are concerned with the global minimization of a possibly non-smooth and non-convex objective function constrained on the unit hypersphere by means of a multi-agent…
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation
Hui Huang, Jinniao Qiu
In this paper, we propose and study a stochastic aggregation-diffusion equation of the Keller-Segel (KS) type for modeling the chemotaxis in dimensions . Unlike the classica…
On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
Hui Huang, Jian-Guo Liu, Peter Pickl
We rigorously justify the mean-field limit of a -particle system subject to the Brownian motion and interacting through a Newtonian potential in . Our result leads…
Propagation of chaos for the Keller-Segel equation over bounded domains
Razvan C. Fetecau, Hui Huang, Weiran Sun
In this paper we rigorously justify the propagation of chaos for the parabolic-elliptic Keller-Segel equation over bounded convex domains. The boundary condition under consideratio…