Advection-Diffusion-Reaction on PDEBench ADR 64 x 64 (nc=2, Pe=1, Da=0.1)
0.028Relative L2 ErrorDeepONet
Evaluation Results
| Method | Links | |
|---|---|---|
| DeepONetNumber of labeled samples (Nl)=250, Single-channel only=true2026.04 | 0.028 | |
| DeepONetNumber of labeled samples (Nl)=100, Single-channel only=true2026.04 | 0.036 | |
| DeepONetNumber of labeled samples (Nl)=50, Single-channel only=true2026.04 | 0.079 | |
| ScratchNumber of labeled samples (Nl)=2502026.04 | 0.082 | |
| DeepONetNumber of labeled samples (Nl)=25, Single-channel only=true2026.04 | 0.092 | |
| ScratchNumber of labeled samples (Nl)=502026.04 | 0.097 | |
| PI-JEPANumber of labeled samples (Nl)=1002026.04 | 0.097 | |
| ScratchNumber of labeled samples (Nl)=1002026.04 | 0.097 | |
| PI-JEPANumber of labeled samples (Nl)=2502026.04 | 0.097 | |
| PI-JEPANumber of labeled samples (Nl)=502026.04 | 0.098 | |
| PI-JEPANumber of labeled samples (Nl)=252026.04 | 0.101 | |
| ScratchNumber of labeled samples (Nl)=252026.04 | 0.102 | |
| DeepONetNumber of labeled samples (Nl)=10, Single-channel only=true2026.04 | 0.108 | |
| PI-JEPANumber of labeled samples (Nl)=102026.04 | 0.113 | |
| ScratchNumber of labeled samples (Nl)=102026.04 | 0.114 | |
| FNONumber of labeled samples (Nl)=2502026.04 | 0.139 | |
| FNONumber of labeled samples (Nl)=1002026.04 | 0.145 | |
| FNONumber of labeled samples (Nl)=502026.04 | 0.176 | |
| FNONumber of labeled samples (Nl)=252026.04 | 0.21 | |
| FNONumber of labeled samples (Nl)=102026.04 | 0.257 |