12 citations · 19 across the 6 of their papers we have counts for
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math.NA2022★ 1 cited
A replica exchange preconditioned Crank-Nicolson Langevin dynamic MCMC method for Bayesian inverse problems
Ou Na, Zecheng Zhang, Guang Lin
This paper proposes a replica exchange preconditioned Langevin diffusion discretized by the Crank-Nicolson scheme (repCNLD) to handle high-dimensional and multi-modal distribution…
math.NA2022
Multi-element flow-driven spectral chaos (ME-FSC) method for uncertainty quantification of dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
The flow-driven spectral chaos (FSC) is a recently developed method for tracking and quantifying uncertainties in the long-time response of stochastic dynamical systems using the s…
math.DS2022★ 6 cited
On Learning the Dynamical Response of Nonlinear Control Systems with Deep Operator Networks
Guang Lin, Christian Moya, Zecheng Zhang
We propose a Deep Operator Network~(DeepONet) framework to learn the dynamic response of continuous-time nonlinear control systems from data. To this end, we first construct and tr…