PDE Solving on PINNacle
0.0129Error (1D Burgers, C)LAAF
Evaluation results
| Method | Links | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| LAAFOptimizer=MAdam2026.06 | 0.0129 | 0.494 | 0.635 | 0.204 | 0.469 | 0.866 | 0.101 | 0.0245 | 0.998 | 0.0213 | 0.0663 | 0.997 | 0.42 | 0.762 | 1.03 | 0.0948 | 0.998 | 0.0041 | 0.496 | — | |
| PINN + MAdamOptimization=MAdam2026.06 | 0.0129 | 0.516 | 0.662 | 0.194 | 0.625 | 0.94 | 0.0283 | 0.0182 | 0.998 | 0.0415 | 0.0974 | 0.994 | 0.486 | 1 | 0.805 | 0.0932 | 0.971 | 0.0008 | 0.546 | — | |
| LAAFOptimizer=Adam2026.06 | 0.0143 | 0.277 | 0.768 | 0.579 | 0.593 | 0.642 | 0.074 | 0.0239 | 0.999 | 0.036 | 0.0824 | 0.998 | 0.454 | 0.819 | 1.06 | 0.0947 | 1.01 | 0.0041 | 0.522 | — | |
| PINNOptimization=Base2026.06 | 0.0145 | 0.324 | 0.694 | 0.56 | 0.63 | 1.01 | 0.0621 | 0.0364 | 0.999 | 0.047 | 0.119 | 0.996 | 0.588 | 1.84 | 1.34 | 0.319 | 1.01 | 0.003 | 0.361 | — | |
| GAAFOptimizer=MAdam2026.06 | 0.0201 | 0.508 | 0.606 | 0.23 | 0.979 | 1.06 | 0.126 | 0.46 | 1 | 0.0362 | 0.167 | 0.999 | 0.659 | 0.724 | 1.03 | 0.0945 | 1.01 | 0.0077 | 0.485 | — | |
| GAAFOptimizer=Adam2026.06 | 0.052 | 0.295 | 0.604 | 0.502 | 0.931 | 0.849 | 0.985 | 0.461 | 0.999 | 0.0379 | 0.174 | 0.999 | 0.677 | 0.794 | 1.06 | 0.0946 | 1 | 0.0078 | 0.521 | — |