Operator Learning for 3D Allen-Cahn Equation (alpha=60, tau=260, OOD)
1.0473Relative L2 Error at t=50DeepONet
Evaluation Results
| Method | Links | |||
|---|---|---|---|---|
| DeepONet# Samples=100, Sec./Sample=3.03922026.06 | 1.0473 | 1.5275 | 9.8308 | |
| FNO# Samples=100, Sec./Sample=0.47122026.06 | 2.1342 | 2.7254 | 2.0521 | |
| U-NO# Samples=100, Sec./Sample=1.22512026.06 | 2.3693 | 2.8165 | 2.1744 | |
| U-FNO# Samples=100, Sec./Sample=1.11882026.06 | 2.4549 | 3.0289 | 2.3 | |
| U-Net# Samples=100, Sec./Sample=0.41062026.06 | 2.5367 | 3.0182 | 2.3132 | |
| PI-HAMNO# Samples=100, Sec./Sample=1.32022026.06 | 3.3856 | 3.3326 | 4.02 | |
| HAMNO# Samples=100, Sec./Sample=1.35542026.06 | 9.057 | 1.2771 | 8.9824 | |
| FFNO# Samples=100, Sec./Sample=1.06462026.06 | 9.2818 | 1.3605 | 8.7555 |