5 papers
Towards Robust EEG Decoding Based on Riemannian Self-Attention
Shaocheng Jin, Tao Zhou, Rui Wang +4
Brain-Computer Interface (BCI) based on electroencephalography (EEG) enables direct interaction between the brain and external environments and has significant applications in assi…
On the stability of Lamb-Chaplygin dipole for the 2D Euler equation
Zexing Li, Peicong Song, Tao Zhou
The Lamb-Chaplygin dipole is a traveling wave solution to the 2D incompressible Euler equation, whose orbital stability was established in [Abe-Choi, 2022] and [Abe-Choi-Jeong, 202…
Decoupled Divergence-Free Neural Networks Basis Method for Incompressible Fluid Problems
Jinbao Cheng, Jianguo Huang, Haoqin Wang +1
We propose a decoupled divergence-free neural networks basis (Decoupled-DFNN) method for solving incompressible flow problems, including the Stokes and Navier-Stokes equations. To…
Deep learning for the semi-classical limit of the Schrödinger equation
Jizu Huang, Rukang You, Tao Zhou
In this paper, we integrate neural networks and Gaussian wave packets to numerically solve the Schrödinger equation with a smooth potential near the semi-classical limit. Our focus…
Frequency-adaptive Multi-scale Deep Neural Networks
Jizu Huang, Rukang You, Tao Zhou
Multi-scale deep neural networks (MscaleDNNs) with downing-scaling mapping have demonstrated superiority over traditional DNNs in approximating target functions characterized by hi…