134 citations · 154 across the 13 of their papers we have counts for
25 papers
Quantum algorithms for uncertainty quantification: application to partial differential equations
Francois Golse, Shi Jin, Nana Liu
Most problems in uncertainty quantification, despite its ubiquitousness in scientific computing, applied mathematics and data science, remain formidable on a classical computer. Fo…
Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty
Shi Jin, Yiwen Lin
This paper is concerned with a kineitc-fluid model with random initial inputs in the fine particle regime, which is a system coupling the incompressible Navier-Stokes equations and…
A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties
Jingrun Chen, Shi Jin, Liyao Lyu
We propose a deep learning based discontinuous Galerkin method (D2GM) to solve hyperbolic equations with discontinuous solutions and random uncertainties. The main computational ch…
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings
Shi Jin, Lei Li
We review the Random Batch Methods (RBM) for interacting particle systems consisting of -particles, with being large. The computational cost of such systems is of ,…
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…