Rollout Prediction on Cahn-Hilliard 3D (Accuracy and Timing)
0.0388Relative L2 Error @ t=50HAMNO
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| HAMNONtrain=100, lambda=0.25, Tag=Hybrid2026.06 | 0.0388 | 0.0503 | 638.14 | 1.9062 | |
| HAMNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.06 | 0.0461 | 0.0597 | 369.44 | 1.8227 | |
| HAMNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.06 | 0.0461 | 0.0597 | 368.67 | 1.8738 | |
| HAMNONtrain=50, lambda=0.25, Tag=Hybrid2026.06 | 0.0475 | 0.0682 | 365.31 | 1.9128 | |
| DeepONetNtrain=50, lambda=1.0, Tag=Pure Phys.2026.06 | 0.0934 | 0.118 | 321.26 | 1.163 | |
| DeepONetNtrain=100, lambda=1.0, Tag=Pure Phys.2026.06 | 0.0934 | 0.118 | 320.95 | 1.1623 | |
| DeepONetNtrain=50, lambda=0.25, Tag=Hybrid2026.06 | 0.0991 | 0.131 | 301.62 | 1.126 | |
| HAMNONtrain=100, lambda=0, Tag=Pure Data2026.06 | 0.104 | 0.181 | 198.52 | 1.8736 | |
| DeepONetNtrain=100, lambda=0, Tag=Pure Data2026.06 | 0.117 | 0.202 | 174.09 | 1.1613 | |
| DeepONetNtrain=100, lambda=0.25, Tag=Hybrid2026.06 | 0.121 | 0.171 | 535.36 | 1.1646 | |
| FFNONtrain=50, lambda=0.25, Tag=Hybrid2026.06 | 0.13 | 0.189 | 342.32 | 1.5464 | |
| FFNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.06 | 0.13 | 0.183 | 348.41 | 1.563 | |
| FFNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.06 | 0.13 | 0.183 | 346.52 | 1.5454 | |
| DeepONetNtrain=50, lambda=0, Tag=Pure Data2026.06 | 0.143 | 0.247 | 102.79 | 1.1285 | |
| FFNONtrain=100, lambda=0.25, Tag=Hybrid2026.06 | 0.16 | 0.207 | 615.76 | 1.5893 | |
| FFNONtrain=100, lambda=0, Tag=Pure Data2026.06 | 0.17 | 0.29 | 187.05 | 1.5477 | |
| FFNONtrain=50, lambda=0, Tag=Pure Data2026.06 | 0.191 | 0.325 | 106.21 | 1.5145 | |
| HAMNONtrain=50, lambda=0, Tag=Pure Data2026.06 | 0.191 | 0.29 | 113.54 | 1.8595 | |
| FNONtrain=100, lambda=0, Tag=Pure Data2026.06 | 0.314 | 0.43 | 104.67 | 0.3174 | |
| FNONtrain=50, lambda=0, Tag=Pure Data2026.06 | 0.352 | 0.479 | 58.28 | 0.315 | |
| FNONtrain=50, lambda=0.25, Tag=Hybrid2026.06 | 0.413 | 0.525 | 192.55 | 0.318 | |
| FNONtrain=100, lambda=0.25, Tag=Hybrid2026.06 | 0.416 | 0.532 | 332.64 | 0.311 | |
| FNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.06 | 0.421 | 0.542 | 197.08 | 0.3217 | |
| FNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.06 | 0.421 | 0.542 | 194.82 | 0.3148 |