Reaction-Diffusion
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Forecasting | Reaction-Diffusion (test) | Normalized Log-Likelihood-1.7 | 12 | |
| Completion | Reaction-Diffusion (test) | Normalized Log-Likelihood1.38 | 12 | |
| PDE Solving | Reaction-Diffusion (train) | Error0 | 7 | |
| PDE Solving | Reaction-Diffusion (val) | Error0 | 7 | |
| Long-horizon forecasting | Reaction-Diffusion (RD) | L2 Error0.0075 | 7 | |
| Parameter Reconstruction | Reaction-diffusion 10 instances 1.0 (test) | RMSE0 | 7 | |
| Posterior Sampling | Reaction–Diffusion | Time per Sample (s)1.04 | 6 | |
| Equation Discovery | Reaction-diffusion | Complexity (C)16 | 6 | |
| Learning Nonlinear and Non-Periodic Responses on ODEs/PDEs | Reaction-Diffusion (D=0.01, k=0.01) (test) | Relative Error9.09 | 6 | |
| Hybrid Modeling (Parameter Estimation and Prediction) | REACTION-DIFFUSION (test) | Theta Error0.0001 | 6 | |
| Forward problem | Reaction-Diffusion | Relative L2 Error1.9 | 5 | |
| Forecasting | Reaction-Diffusion (RD) | MSE7.1 | 5 | |
| Event Risk Prediction | Reaction-diffusion | Mean RMSE0.1133 | 4 | |
| Constrained PDE Generative Modeling | Reaction–Diffusion | MMSE0.0017 | 4 | |
| Partial Differential Equation (PDE) Solving | Reaction-Diffusion 10K (evaluation) | Relative L2 Error1.08 | 4 | |
| Partial Differential Equation Solving | Reaction-Diffusion | Error0.0095 | 3 | |
| Equation Discovery | Reaction-diffusion 8 | Prediction Error0.008 | 3 | |
| Parameter inference | reaction–diffusion (test) | Data Generation Time (s)0 | 3 |
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