Lotka-Volterra
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Interpolation | Lotka-Volterra Simulated | Normalized Log-Likelihood-3.46 | 12 | |
| Model Reconstruction | Lotka Volterra | Reconstruction MSE0.03 | 6 | |
| Reconstruction | Lotka-Volterra Real | Normalized Log-Likelihood-4.29 | 6 | |
| Forecasting | Lotka-Volterra Real | Normalized Log-Likelihood-5.01 | 6 | |
| Interpolation | Lotka-Volterra Real | Normalized Log-Likelihood-4.18 | 6 | |
| Forecasting | Lotka-Volterra Simulated | NLL-4.87 | 6 | |
| Estimating source distributions | Lotka-Volterra (LV) high-dimensional (test) | C2ST Accuracy62 | 5 | |
| Hamiltonian approximation | Lotka-Volterra eq. B.7 Domain [0, 8] × [0, 8] | Relative L2 Error0 | 4 | |
| Hamiltonian approximation | Lotka-Volterra eq. B.6, Domain [-5, 5] × [-5, 5] | Relative L2 Error0 | 4 | |
| Hamiltonian approximation | Lotka-Volterra eq. B.6 Domain [-2, 2] × [-2, 2] | Relative L2 Error0 | 4 | |
| State Prediction | Lotka-Volterra simulations (test) | RMSE0.048 | 4 | |
| Regression | Lotka Volterra predator-prey system (val) | MSE (Data)0.0092 | 3 | |
| Dynamics Modeling | Lotka Volterra LV 1 (single densely observed trajectory) | Log Likelihood1.96 | 3 | |
| Dynamics Modeling | Lotka-Volterra (extrapolation) | MSE62,545,026 | 1 | |
| Dynamical system modeling | Lotka-Volterra (LV) (m=10, n=1) (test) | Metric- | 0 | |
| Trajectory Prediction | Lotka Volterra LV 100 (test) | Metric- | 0 | |
| Dynamics Modeling | Lotka-Volterra (interpolation) | Metric- | 0 |
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