Lorenz System
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Time-series prediction | Lorenz system | RMSE0.2454 | 9 | |
| Learning Nonlinear and Non-Periodic Responses on ODEs/PDEs | Lorenz System rho=10 (test) | Relative Error0.2187 | 7 | |
| Learning Nonlinear and Non-Periodic Responses on ODEs/PDEs | Lorenz System rho=5 (test) | Relative Error0.0051 | 7 | |
| State Estimation | Lorenz system Input z(t) | MSE (x^2)3.43 | 4 | |
| State Estimation | Lorenz system Input y(t) | MSE (x)1.52 | 4 | |
| State Estimation | Lorenz system Input x(t) | MSE (y)1.62 | 4 | |
| System Identification | Lorenz System 5% noise | MSE156.4 | 3 | |
| State Inference | Lorenz system | MSE (x(t) -> y)2.73 | 2 | |
| Dynamics Modeling | Lorenz System (extrapolation) | MSE6,031.36 | 2 | |
| Dynamics Modeling | Lorenz System (interpolation) | MSE2,596.05 | 1 |
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