61 citations · 114 across the 8 of their papers we have counts for
4 papers · 1 filter
A Note on StiffDNN -- a DNN for Stiff Dynamic Systems
Wei Cai
In this note, we will present a specially designed deep neural network (DNN), which will target components of the solution of different time rate individually through perspective o…
Multi-scale Deep Neural Networks for Solving High Dimensional PDEs
Wei Cai, Zhi-Qin John Xu
In this paper, we propose the idea of radial scaling in frequency domain and activation functions with compact support to produce a multi-scale DNN (MscaleDNN), which will have the…
A Phase Shift Deep Neural Network for High Frequency Approximation and Wave Problems
Wei Cai, Xiaoguang Li, Lizuo Liu
In this paper, we propose a phase shift deep neural network (PhaseDNN), which provides a uniform wideband convergence in approximating high frequency functions and solutions of wav…
PhaseDNN - A Parallel Phase Shift Deep Neural Network for Adaptive Wideband Learning
Wei Cai, Xiaoguang Li, Lizuo Liu
In this paper, we propose a phase shift deep neural network (PhaseDNN) which provides a wideband convergence in approximating a high dimensional function during its training of the…