| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| Plasticity | PGOT | Relative L2 Error0.0012 | 21 | 4d ago | |
| Airfoil | PGOT | Relative L20.46 | 21 | 4d ago | |
| Pipe | PGOT | Relative L2 Error0.0039 | 20 | 4d ago | |
| Elasticity | PGOT | Relative L2 Error0.0069 | 19 | 4d ago | |
| Darcy Flow | LNO | Relative Error0.49 | 10 | 4d ago | |
| Helmholtz Full Observation | FunDPS* | L2 Relative Error0.0108 | 9 | 4d ago | |
| Poisson Full Observation | FunDPS* | L2 Relative Error0.7 | 9 | 4d ago | |
| Darcy Flow Full Observation | PRISMA | L2 Relative Error1.05 | 9 | 4d ago | |
| Helmholtz (test) | sCM-PINN | Relative H1 Error0.233 | 9 | 4d ago | |
| Poisson (test) | sCM-PINN | Relative H1 Error0.181 | 9 | 4d ago | |
| Darcy Flow (test) | sCM-PINN | Relative H1 Error0.105 | 9 | 4d ago | |
| Helmholtz | PISD | PDE Residual0.37 | 9 | 4d ago | |
| Helmholtz 10% noise corruption | PRISMA | L2 Relative Error8.05 | 5 | 4d ago | |
| Navier–Stokes Full Observation | DiffusionPDE* | L2 Relative Error0.6 | 5 | 4d ago | |
| NS2d | LNO | Relative L2 Error8.45 | 5 | 4d ago | |
| Bounded Navier-Stokes | DiffusionPDE | Relative Error3.9 | 5 | 4d ago | |
| Non-bounded Navier-Stokes | DiffusionPDE | Relative Error6.9 | 5 | 4d ago | |
| Poisson | DiffusionPDE | Relative Error4.5 | 5 | 4d ago | |
| Bounded Navier-Stokes full observations | DiffusionPDE | Relative Error1.7 | 5 | 4d ago | |
| Non-bounded Navier-Stokes full observations | PINO | Relative Error0.011 | 5 | 4d ago | |
| Helmholtz full observations | DiffusionPDE | Relative Error0.023 | 5 | 4d ago | |
| Poisson full observations | DiffusionPDE | Relative Error2.7 | 5 | 4d ago | |
| Darcy Flow full observations | DiffusionPDE | Relative Error2.2 | 5 | 4d ago |
