Poisson Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Operator Learning | Poisson Equation RPB (Out) | Relative Median L1 Error0.27 | 7 | |
| Operator Learning | Poisson Equation In RPB | Relative Median L1 Test Error0.21 | 7 | |
| Operator Learning | Poisson equation (test) | Mean Relative L2 Error0.0182 | 6 | |
| Solving Partial Differential Equations | Poisson equation | Total Parameters0.0279 | 6 | |
| Partial Differential Equation Solving | Poisson equation | Total Training Time (min)11.88 | 6 | |
| Operator Learning | Poisson equation | Max GPU Memory Usage (GB)7.39 | 6 | |
| PDE inverse problems | Poisson Equation | CRPS1.05 | 5 | |
| Poisson Equation | Poisson Equation 100K epochs | L1 Error0.0001 | 5 | |
| Joint sparse reconstruction | Poisson equation | Relative Error6.93 | 4 | |
| Equation Discovery | Poisson Equation Noise Levels: 0%, 0.1%, 5% (large) PDE | Mp1 | 4 |
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