293 citations · 677 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
Learning reduced systems via deep neural networks with memory
Xiaohan Fu, Lo-Bin Chang, Dongbin Xiu
We present a general numerical approach for constructing governing equations for unknown dynamical systems when only data on a subset of the state variables are available. The unkn…
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…
A Non-Intrusive Correction Algorithm for Classification Problems with Corrupted Data
Jun Hou, Tong Qin, Kailiang Wu +1
A novel correction algorithm is proposed for multi-class classification problems with corrupted training data. The algorithm is non-intrusive, in the sense that it post-processes a…
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…