VLSF/augmentation

General Covariance Data Augmentation for Neural PDE Solvers

Links:

• https://arxiv.org/abs/2301.12730
• All datasets

Tutorials:

• Random coordinate transformations in D=1 and D=2
• Augmentation for D=1 datasets
• Augmentation for D=2 datasets
• Training with and without augmentation
• Lid-driven cavity flow

Individual links for datasets (convenient to download from Google Colab, look here for the example):

• Elliptic 1D
• Convection-diffusion 1D
• Wave (10) 1D
• Wave (5) 1D
• Elliptic alpha 2D
• Elliptic beta 2D
• Convection-diffusion 2D
• Wave 2D
• Elliptic alpha 2D hard
• Elliptic beta 2D hard
• Convection-diffusion 2D hard
• Wave 2D hard