Autoregressive PDE Solving on KdV equation LPSDA protocol (in-distribution)
0.0047NMSEPACE-FNO (AR)
Evaluation Results
| Method | Links | |
|---|---|---|
| PACE-FNO (AR)Symmetry (Sym.)=windowed g1 + structured g2–g4, Architecture=m=20, w=64, 4 layers, 1 frame, Number of samples=5122026.05 | 0.0047 | |
| FNO (AR)Symmetry (Sym.)=g1g2g3g4, Architecture=m=32, w=256, 5 layers, 20 frames, Number of samples=5122026.05 | 0.0053 | |
| PACE-FNO (AR)Symmetry (Sym.)=temporal-window g1 + PACE g2–g4, Architecture=m=32, w=256, 5 layers, 20 frames, Number of samples=5122026.05 | 0.0061 | |
| FNO (AR)Symmetry (Sym.)=−, Architecture=m=32, w=256, 5 layers, 20 frames, Number of samples=5122026.05 | 0.013 |