46 citations · 110 across the 12 of their papers we have counts for
13 papers
The nonlocal attraction-repulsion transport equation with power kernels
Massimo Fornasier, Hui Huang, Lukang Sun
We study a nonlocal continuity equation on in which a probability density is driven by the competition between attraction toward a prescribed background measure …
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…
A Measure Theoretical Approach to the Mean-field Maximum Principle for Training NeurODEs
Benoît Bonnet, Cristina Cipriani, Massimo Fornasier +1
In this paper we consider a measure-theoretical formulation of the training of NeurODEs in the form of a mean-field optimal control with -regularization of the control. We der…
On the mean-field limit for the consensus-based optimization
Hui Huang, Jinniao Qiu
This paper is concerned with the large particle limit for the consensus-based optimization (CBO), which was postulated in the pioneering works [6,28]. In order to solve this open p…
Zero-Inertia Limit: from Particle Swarm Optimization to Consensus Based Optimization
Cristina Cipriani, Hui Huang, Jinniao Qiu
Recently a continuous description of the particle swarm optimization (PSO) based on a system of stochastic differential equations was proposed by Grassi and Pareschi in arXiv:2012.…
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…
Consensus-Based Optimization on Hypersurfaces: Well-Posedness and Mean-Field Limit
Massimo Fornasier, Hui Huang, Lorenzo Pareschi +1
We introduce a new stochastic differential model for global optimization of nonconvex functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto-Vicsek sy…
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…
Zero-diffusion Limit for Aggregation Equations over Bounded Domains
Razvan C. Fetecau, Hui Huang, Daniel Messenger +1
We establish the zero-diffusion limit for both continuous and discrete aggregation models over convex and bounded domains. Compared with a similar zero-diffusion limit derived in […
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…
Learning interacting particle systems: diffusion parameter estimation for aggregation equations
Hui Huang, Jian-Guo Liu, Jianfeng Lu
In this article, we study the parameter estimation of interacting particle systems subject to the Newtonian aggregation and Brownian diffusion. Specifically, we construct an estima…