| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| Helmholtz full observations | PINO | Relative Error0.049 | 14 | 4mo ago | |
| Poisson | Di-BiLPS | Relative Error0.123 | 13 | 2mo ago | |
| Darcy Flow | Di-BiLPS | Relative Error1.3 | 13 | 2mo ago | |
| Bounded Navier-Stokes | DiffPDE | Relative Error0.027 | 11 | 2mo ago | |
| Non-bounded Navier-Stokes | DiffPDE | Relative Error0.104 | 11 | 2mo ago | |
| Darcy | PBFM | Relative L2 Error1.02 | 10 | 2mo ago | |
| Helmholtz | Equi-FunDPS | Relative Error15.91 | 10 | 2mo ago | |
| Poisson Full Observation | PINO | L2 Relative Error10.2 | 9 | 4mo ago | |
| Darcy Flow Full Observation | PINO | L2 Relative Error0.021 | 9 | 4mo ago | |
| Helmholtz | Di-BiLPS | Relative L2 Error0.12 | 6 | 2mo ago | |
| 1D Burgers equation inverse problem | AL-PINN | Relative L2 Error4.02 | 5 | 2mo ago | |
| Navier-Stokes | Equi-FunDPS | Relative L2 Error7.84 | 5 | 2mo ago | |
| Helmholtz 10% noise corruption | PRISMA | L2 Relative Error43.56 | 5 | 4mo ago | |
| Poisson 10% noise corruption | PRISMA | L2 Relative Error27.12 | 5 | 4mo ago | |
| Navier–Stokes Full Observation | PRISMA | L2 Relative Error1.25 | 5 | 4mo ago | |
| Bounded Navier-Stokes full observations | DiffusionPDE | Relative Error1.4 | 5 | 4mo ago | |
| Non-bounded Navier-Stokes full observations | PINO | Relative Error6.8 | 5 | 4mo ago | |
| Poisson full observations | DiffusionPDE | Relative Error9.8 | 5 | 4mo ago | |
| Darcy Flow full observations | DiffusionPDE | Relative Error2 | 5 | 4mo ago | |
| HeatInv (test) | SEA-PINN | Mean L2 Relative Error0.1327 | 4 | 1mo ago | |
| PoissonInv (test) | SEA-PINN | Mean L2 Relative Error0.0612 | 4 | 1mo ago | |
| Navier-Stokes (test) | FM4PDE | Relative Error6.39 | 3 | 2mo ago | |
| Helmholtz (test) | FM4PDE | Relative Error24.78 | 3 | 2mo ago | |
| Poisson (test) | FM4PDE | Relative Error17.02 | 3 | 2mo ago | |
| Darcy Flow (test) | DeepONet | Relative Error5.21 | 3 | 2mo ago |
