Lorenz-96
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| State Estimation | Lorenz-96 arctan observation operator | RMSE0.189 | 48 | |
| State Estimation | Lorenz-96 quadratic capped observation operator (test) | RMSE0.201 | 48 | |
| State Estimation | Lorenz-96 | MSE0.0304 | 28 | |
| Filtering | Lorenz-96 Arctangent Observation Operator | RMSE0.287 | 24 | |
| Causal Discovery | Lorenz-96 D=40, T=1000 | AUROC100 | 24 | |
| Drift Estimation | Lorenz 96 mu5 (out-of-sample) | OOS Drift Error (E_20^mu)7.92 | 20 | |
| Forecasting | Lorenz-96 N=40 (test) | RMSE h=40.183 | 17 | |
| Causal Discovery | Lorenz-96 with noisy observations (sigma = 0.1) | F1 Score89.4 | 12 | |
| Data Assimilation | Lorenz-96 Delta t = 0.2 | Relative RMSE0.1531 | 11 | |
| Data Assimilation | Lorenz-96 Delta t = 0.1 | Relative RMSE0.1429 | 11 | |
| Continuous Ranked Probability Score (CRPS) Estimation | Lorenz-96 200 samples (test) | CRPS Component F0.36 | 11 | |
| Filtering | Single-scale Lorenz-96 (test) | RMSE0.1632 | 10 | |
| Dynamical systems reconstruction | Lorenz-96 20d | Dstsp1.59 | 8 | |
| Structural recovery | Lorenz-96 N=40 | Local/Nonlocal Ratio1,256.43 | 7 | |
| Chaotic system forecasting | Lorenz-96 | VPT (0% noise)1.46 | 5 | |
| Time-series imputation | Lorenz-96 20D (OOD) | RMSE3.2363 | 4 | |
| Time-series imputation | Lorenz-96 20D (ID) | RMSE2.6246 | 4 | |
| Leading Lyapunov Exponent Estimation | Lorenz-96 (L96) single-trajectory | LLE2.336 | 4 | |
| State reconstruction | Lorenz-96 20D (Out-of-Distribution) | RMSE1.7638 | 3 | |
| State reconstruction | Lorenz-96 20D (In-Distribution) | RMSE1.33 | 3 | |
| Operator Learning | Lorenz-96 chaotic ODE (test) | Metric- | 0 |
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