Lorenz

Benchmarks

Task Name	Dataset Name	SOTA Result
Causal Discovery	Lorenz-96	AUROC100	36
Filtering	Lorenz-96	RMSE0.669	24
Filtering	Lorenz–63	Average EW25.744	18
Filtering	Lorenz-96 10-dimensional	RMSE0.592	18
Time Series Forecasting	Lorenz Base	MSE1.34	17
Probabilistic Time Series Forecasting	Lorenz-Base H=192	CRPS0.823	10
Probabilistic Time Series Forecasting	Lorenz-Base H=64	CRPS0.295	10
Causal Pruning	Lorenz F=40 T=500	PR62.2	9
Causal Pruning	Lorenz F=40 T=250	PR Score71.2	9
Causal Pruning	Lorenz F=10 T=500	PR60.2	9
Causal Pruning	Lorenz F=10 (T=250)	PR61.17	9
Granger Causal Discovery	Lorenz (40, 1000, 20)	AUROC93.9	8
Granger Causal Discovery	Lorenz(20,1000,10)	AUROC98.6	8
Trajectory Prediction	Lorenz '96 Temporal Interpolation	ACF at τ = 100.9771	8
Data Assimilation	Lorenz 1963	RMSE0.0502	8
Segment-level regime discovery	Lorenz	ARI1	8
Equation Discovery	Lorenz 96 Noise Levels: 0%, 1%, 10% (large) ODE	Mp1	8
ODE solving	Lorenz ρ = 10	L2 Error0.1731	6
ODEs	Lorenz ρ = 5	L-infinity Error0.0837	6
Data Assimilation	Lorenz 1963 (eval)	RMSE0.0502	6
Chaotic system forecasting	Lorenz-63	VPT (0% noise)1.2	6
Chaotic system prediction	Lorenz (test)	RMSE (128 steps)0.065	5
Time-series forecasting	Lorenz	Coverage@90%91	5
Parameter sampling	Lorenz 63 chaotic ODE system	Synthesis Time (10K Samples)0.0004	4
Trajectory Prediction	Lorenz '96 Temporal Extrapolation	ACF (τ=10)0.9763	4

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