Operator Learning Rollout Prediction on Allen-Cahn Equation E2
0MSEU-NO
Evaluation results
| Method | Links | |||
|---|---|---|---|---|
| U-NOStep=12026.06 | 0 | 0.0387 | 0.0195 | |
| TF-SNOStep=12026.06 | 0 | 0.0619 | 0.0374 | |
| PINOStep=12026.06 | 0 | 0.0631 | 0.0397 | |
| FNOStep=12026.06 | 0 | 0.0753 | 0.0526 | |
| WNOStep=12026.06 | 0 | 0.0797 | 0.0502 | |
| FINOStep=12026.06 | 0 | 0.0768 | 0.0546 | |
| U-NOStep=102026.06 | 0.0001 | 0.2356 | 0.1335 | |
| TF-SNOStep=102026.06 | 0.0004 | 0.3993 | 0.2883 | |
| U-NOStep=252026.06 | 0.0004 | 0.3803 | 0.2113 | |
| PINOStep=102026.06 | 0.0005 | 0.4437 | 0.3246 | |
| TF-SNOStep=252026.06 | 0.0005 | 0.419 | 0.4171 | |
| TF-SNOStep=502026.06 | 0.0006 | 0.281 | 0.3386 | |
| FNOStep=102026.06 | 0.0007 | 0.5648 | 0.474 | |
| FINOStep=102026.06 | 0.0008 | 0.5792 | 0.4984 | |
| WNOStep=102026.06 | 0.0011 | 0.673 | 0.4461 | |
| PINOStep=252026.06 | 0.0013 | 0.6644 | 0.5496 | |
| FNOStep=252026.06 | 0.002 | 0.808 | 0.8971 | |
| FINOStep=252026.06 | 0.002 | 0.8239 | 0.9642 | |
| U-NOStep=502026.06 | 0.0023 | 0.5623 | 0.324 | |
| DeepONetStep=12026.06 | 0.0031 | 0.9921 | 0.9774 | |
| WNOStep=252026.06 | 0.0045 | 1.2277 | 0.8328 | |
| FINOStep=502026.06 | 0.0048 | 0.8097 | 1.1458 | |
| FNOStep=502026.06 | 0.0053 | 0.852 | 1.0533 | |
| PINOStep=502026.06 | 0.007 | 0.9747 | 0.6957 | |
| WNOStep=502026.06 | 0.0188 | 1.6084 | 0.9928 | |
| TF-SNO2026.06 | 0.0249 | 0.366 | 0.3223 | |
| FINO2026.06 | 0.0807 | 0.727 | 0.7891 | |
| U-NO2026.06 | 0.0999 | 0.6331 | 0.4913 | |
| DeepONetStep=102026.06 | 0.1827 | 7.3546 | 2.6739 | |
| PINO2026.06 | 0.218 | 1.0546 | 0.9413 | |
| DeepONet2026.06 | 0.2649 | 2.1997 | 1.6288 | |
| DeepONetStep=502026.06 | 0.2656 | 6.047 | 3.8644 | |
| DeepONetStep=252026.06 | 0.284 | 9.6964 | 4.7195 | |
| FNO2026.06 | 0.3012 | 1.1483 | 0.9816 | |
| WNO2026.06 | 0.4172 | 2.2082 | 1.0296 |