Shallow-Water
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Continuum Field Reconstruction | Shallow-Water Avg | MSE0.257 | 18 | |
| Continuum Field Reconstruction | Shallow-Water (Out-t) | MSE0.465 | 18 | |
| Continuum Field Reconstruction | Shallow-Water In-t | MSE0.042 | 18 | |
| PDE solving | Shallow Water 3D (test) | Relative MSE Loss0.0046 | 18 | |
| Temporal Extrapolation | Shallow-Water (Out-t) | MSE0.0006 | 15 | |
| Temporal Extrapolation | Shallow-Water (In-t) | MSE0 | 15 | |
| Forward Generation | Shallow-Water (test) | Relative MSE0.0196 | 12 | |
| Reconstruction | Shallow-Water (test) | Relative MSE0.0178 | 12 | |
| Spatiotemporal forecasting | Shallow Water (SW) (test) | NRMSE0.0048 | 9 | |
| Long-horizon forecasting | Shallow-Water (SW) | L2 Error0.0007 | 8 | |
| Temporal extrapolation | Shallow-Water steps 51–90 (test) | L2 Error0.0436 | 8 | |
| Autoencoding | Shallow water (val) | MSE1.15 | 8 | |
| Synthetic Wave Reconstruction | Shallow water High wave amplitude | PSNR17.45 | 7 | |
| Synthetic Wave Reconstruction | Shallow water Low wave amplitude | PSNR25.67 | 7 | |
| PDE Imputation | Shallow Water 5/9 observed blocks | MSE0.0865 | 7 | |
| PDE Imputation | Shallow Water 8/9 observed blocks | MSE0.0203 | 7 | |
| PDE Imputation | Shallow Water 30% availability (test) | Feasibility Loss0.7379 | 7 | |
| PDE Imputation | Shallow Water 80% availability (test) | Feasibility Loss0.1869 | 7 | |
| Conservation-law dynamics prediction | Shallow water | Relative L2 Error0.0585 | 6 | |
| PDE dynamics forecasting | Shallow Water OOD | nMSE0 | 6 | |
| PDE dynamics forecasting | Shallow Water (ID) | nMSE0 | 6 | |
| State Forecasting | Shallow Water | MSE0.0206 | 5 | |
| Spatio-temporal forecasting | Shallow Water (test) | MSE1.82 | 4 | |
| High-accuracy coupled recovery | Shallow Water manufactured system | Relative L2 Error1.87 | 3 |
Showing 24 of 24 rows