57 citations · 82 across the 7 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
eess.SP2020★ 5 cited
Data-driven learning of non-autonomous systems
Tong Qin, Zhen Chen, John Jakeman +1
We present a numerical framework for recovering unknown non-autonomous dynamical systems with time-dependent inputs. To circumvent the difficulty presented by the non-autonomous na…
math.NA2020★ 2 cited
Methods to Recover Unknown Processes in Partial Differential Equations Using Data
Zhen Chen, Kailiang Wu, Dongbin Xiu
We study the problem of identifying unknown processes embedded in time-dependent partial differential equation (PDE) using observational data, with an application to advection-diff…
cs.LG2020★ 57 cited
On generalized residue network for deep learning of unknown dynamical systems
Zhen Chen, Dongbin Xiu
We present a general numerical approach for learning unknown dynamical systems using deep neural networks (DNNs). Our method is built upon recent studies that identified the residu…