357 citations · 875 across the 60 of their papers we have counts for
8 papers · 1 filter
A consensus-based global optimization method with adaptive momentum estimation
Jingrun Chen, Shi Jin, Liyao Lyu
Objective functions in large-scale machine-learning and artificial intelligence applications often live in high dimensions with strong non-convexity and massive local minima. First…
On the Random Batch Method for second order interacting particle systems
Shi Jin, Lei Li, Yiqun Sun
We investigate several important issues regarding the Random Batch Method (RBM) for second order interacting particle systems. We first show the uniform-in-time strong convergence…
A random batch Ewald method for particle systems with Coulomb interactions
Shi Jin, Lei Li, Zhenli Xu +1
We develop a random batch Ewald (RBE) method for molecular dynamics simulations of particle systems with long-range Coulomb interactions, which achieves an complexity in eac…
Random Batch Algorithms for Quantum Monte Carlo simulations
Shi Jin, Xiantao Li
Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the calculations of two-body…
On the mean field limit of the Random Batch Method for interacting particle systems
Shi Jin, Lei Li
The Random Batch Method proposed in our previous work [Jin et al., J. Comput. Phys., 400(1), 2020] is not only a numerical method for interacting particle systems and its mean-fiel…
Convergence of Random Batch Method for interacting particles with disparate species and weights
Shi Jin, Lei Li, Jian-Guo Liu
We consider in this work the convergence of Random Batch Method proposed in our previous work [Jin et al., J. Comput. Phys., 400(1), 2020] for interacting particles to the case of…
Convergence and error estimates for time-discrete consensus-based optimization algorithms
Seug-Yeal Ha, Shi Jin, Doheon Kim
We present convergence and error estimates of the time-discrete consensus-based optimization(CBO) algorithms proposed in [arXiv:1909.09249] for general nonconvex functions. In auth…
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…