2 papers
math.NA2026
Time-Invariant Neural Operators with Applications in Solving Time-Dependent PDEs
Zihan Zhou, Wenzhong Zhang, Lizuo Liu
The deep operator network (DeepONet) is one of the basic architectures for learning nonlinear operators with neural networks. However, for operators that describe the dynamic respo…
cs.LG2025
Multi-scale DeepOnet (Mscale-DeepOnet) for Mitigating Spectral Bias in Learning High Frequency Operators of Oscillatory Functions
Bo Wang, Lizuo Liu, Wei Cai
In this paper, a multi-scale DeepOnet (Mscale-DeepOnet) is proposed to reduce the spectral bias of the DeepOnet in learning high-frequency mapping between highly oscillatory functi…