Forward PDE Solving on Helmholtz (relative l2 error, runtime)
0.025Relative L2 ErrorDi-BiLPS
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Di-BiLPS2026.05 | 0.025 | 20.52 | |
| DiffPDE2026.05 | 0.088 | 249.81 | |
| FNO2026.05 | 0.982 | — | |
| PINO2026.05 | 1.065 | — | |
| DeepONet2026.05 | 1.231 | — | |
| PINNs2026.05 | 1.423 | — | |
| HQNNParameter value (λ)=22026.06 | 1.47 | — | |
| PINNParameter value (λ)=22026.06 | 1.99 | — | |
| PINNParameter value (λ)=42026.06 | 2.24 | — | |
| FPINNParameter value (λ)=32026.06 | 2.49 | — | |
| FPINNParameter value (λ)=22026.06 | 2.66 | — | |
| PI-HPQNNParameter value (λ)=42026.06 | 2.72 | — | |
| FPINNParameter value (λ)=42026.06 | 3.18 | — | |
| PINNParameter value (λ)=32026.06 | 3.69 | — | |
| HQNNParameter value (λ)=42026.06 | 4.39 | — | |
| HQNNParameter value (λ)=32026.06 | 4.65 | — | |
| PI-HPQNNParameter value (λ)=22026.06 | 6.32 | — | |
| PI-HPQNNParameter value (λ)=32026.06 | 9.51 | — |