3 papers
cs.LG2026
Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems
Jizu Huang, Yue Qiu, Rukang You
Tensor neural networks (TNNs) have demonstrated their superiority in solving high-dimensional problems. However, similar to conventional neural networks, TNNs are also influenced b…
physics.comp-ph2025
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 focu…
cs.LG2024
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…