Multi-scale DeepOnet (Mscale-DeepOnet) for Mitigating Spectral Bias in Learning High Frequency Operators of Oscillatory Functions.

On spectral bias reduction of multi-scale neural networks for regression problems.

Entropy stable conservative flux form neural networks.

On the Convergence of the Multi-scale Deep Neural Network (MscaleDNN) in Approximating Oscillatory Functions.

A Causality-DeepONet for Causal Responses of Linear Dynamical Systems.

DeepPropNet - A Recursive Deep Propagator Neural Network for Learning Evolution PDE Operators.

Multiscale DeepONet for Nonlinear Operators in Oscillatory Function Spaces for Building Seismic Wave Responses.

A Linearized Learning with Multiscale Deep Neural Network for Stationary Navier-Stokes Equations with Oscillatory Solutions.

A Phase Shift Deep Neural Network for High Frequency Approximation and Wave Problems.

A Phase Shift Deep Neural Network for High Frequency Wave Equations in Inhomogeneous Media.

PhaseDNN - A Parallel Phase Shift Deep Neural Network for Adaptive Wideband Learning.