Operator Learning on viscous Burgers' equation n=512
0.0011Relative ErrorFourier Transformer
Evaluation Results
| Method | Links | |
|---|---|---|
| Fourier TransformerNormalization scheme=Galerkin-type LayerNorm on Q, K2021.05 | 0.0011 | |
| Linear TransformerNormalization scheme=Galerkin-type LayerNorm on K, V2021.05 | 0.0011 | |
| Galerkin TransformerNormalization scheme=Galerkin-type LayerNorm on K, V2021.05 | 0.0012 | |
| Softmax TransformerNormalization scheme=Galerkin-type LayerNorm on Q, K2021.05 | 0.0013 | |
| Fourier TransformerNormalization scheme=Regular LayerNorm2021.05 | 0.0014 | |
| Leray-Schauder2024.10 | 0.0017 | |
| ANIE2024.10 | 0.0017 | |
| Linear TransformerNormalization scheme=Regular LayerNorm2021.05 | 0.0018 | |
| Softmax TransformerNormalization scheme=Regular LayerNorm2021.05 | 0.0019 | |
| Galerkin TransformerNormalization scheme=Regular LayerNorm2021.05 | 0.0022 | |
| FNO1dScheduler=1cycle, Epochs=1002021.05 | 0.0044 | |
| FNO1dScheduler=Step, Epochs=5002021.05 | 0.0158 |