Neural Operator Learning on GRF-Helmholtz
0.6176Relative L2 ErrorFNO
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| FNOk=60, ℓ=0.352026.05 | 0.6176 | 0.5706 | |
| FNOk=120, ℓ=0.352026.05 | 0.7084 | 1.0692 | |
| DeepONetk=60, ℓ=0.352026.05 | 0.712 | 0.6785 | |
| FNOk=60, ℓ=0.052026.05 | 0.8428 | 0.87 | |
| FNOk=120, ℓ=0.052026.05 | 0.9096 | 1.2323 | |
| UFOk=120, ℓ=0.352026.05 | 0.9989 | 2.7161 | |
| UFOk=60, ℓ=0.352026.05 | 1.0027 | 1.0747 | |
| UFOk=60, ℓ=0.052026.05 | 1.0486 | 1.019 | |
| DeepONetk=60, ℓ=0.052026.05 | 1.2074 | 1.2996 | |
| UFOk=120, ℓ=0.052026.05 | 1.2138 | 2.6334 | |
| DeepONetk=120, ℓ=0.352026.05 | 1.5353 | 6.8914 | |
| DeepONetk=120, ℓ=0.052026.05 | 2.9746 | 11.3943 |