1 citations · 2 across the 3 of their papers we have counts for
6 papers
An interacting particle consensus method for constrained global optimization
José A. Carrillo, Shi Jin, Haoyu Zhang +1
This paper presents a particle-based optimization method designed for addressing minimization problems with equality constraints, particularly in cases where the loss function exhi…
Boundary Control of Vlasov--Fokker--Planck Equations
Michael Herty, Shi Jin, Yuhua Zhu
We introduce a novel Lyapunov function for stabilization of linear Vlasov--Fokker--Planck type equations with stiff source term. Contrary to existing results relying on transport p…
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
Shi Jin, Yuhua Zhu, Enrique Zuazua
We consider the Vlasov-Fokker-Planck equation with random electric field where the random field is parametrized by countably many infinite random variables due to uncertainty. At t…
An Uncertainty Quantification Approach to the Study of Gene Expression Robustness
Pierre Degond, Shi Jin, Yuhua Zhu
We study a chemical kinetic system with uncertainty modeling a gene regulatory network in biology. Specifically, we consider a system of two equations for the messenger RNA and mic…
A consensus-based global optimization method for high dimensional machine learning problems
José A. Carrillo, Shi Jin, Lei Li +1
We improve recently introduced consensus-based optimization method, proposed in [R. Pinnau, C. Totzeck, O. Tse and S. Martin, Math. Models Methods Appl. Sci., 27(01):183--204, 2017…
Hypocoercivity and Uniform Regularity for the Vlasov-Poisson-Fokker-Planck System with Uncertainty and Multiple Scales
Shi Jin, Yuhua Zhu
We study the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. Here the uncertainty, modeled by random variables, enters the solution through initial data,…