Kuramoto-Sivashinsky
Benchmarks
TaskDatasetSOTA resultTrendResults
Kuramoto–Sivashinsky (KS)
0.2nRMSE
63
Kuramoto–Sivashinsky long horizon 640 steps
0.006RMSE
45
Kuramoto–Sivashinsky short horizon 140 steps
0.006RMSE
45
2D Kuramoto-Sivashinsky (test)
0.81Mean Error
27
Kuramoto-Sivashinsky 1D (test)
0.009Relative MSE Loss
18
Kuramoto-Sivashinsky (KS)
0.02Rel L2 Error
11
Kuramoto-Sivashinsky L=32π, min(z^4, 10)
1.15RMSE
8
Kuramoto-Sivashinsky L=32π arctan
0.11RMSE
8
Kuramoto-Sivashinsky L=16π, min(z^4, 10)
0.11RMSE
8
Kuramoto-Sivashinsky L=16π, arctan
0.07RMSE
8
Kuramoto-Sivashinsky
0.12Total Variation (TV)
8
Kuramoto–Sivashinsky long horizon, 640 steps
243HCT (MS-2)
8
Kuramoto–Sivashinsky short horizon, 140 steps
140HCT (MS-2)
8
Kuramoto-Sivashinsky (KS) L=66, σ=2.0
0.226Wasserstein Distance
7
Kuramoto-Sivashinsky (KS) L=66, σ=1.0
0.15Wasserstein Distance
7
Kuramoto-Sivashinsky (KS) L=66, σ=0.5
0.13Wasserstein Distance
7
Kuramoto-Sivashinsky (KS) L=22, σ=2.0
0.514Wasserstein Distance
7
Kuramoto-Sivashinsky (KS) L=22, σ=1.0
0.311Wasserstein distance
7
Kuramoto-Sivashinsky (KS) L=22, σ=0.5
0.188Wasserstein Distance
7
2D Kuramoto-Sivashinsky
4.28Mean Error
7
2D Kuramoto-Sivashinsky
1.11Mean Prediction Error
7
Kuramoto-Sivashinsky (KS) L=66, σ=0.05
0.123Wasserstein Distance
6
Kuramoto-Sivashinsky
01-step MSE
6
Kuramoto-Sivashinsky (KS) (test)
7.7RMSD
4
Kuramoto-Sivashinsky (KS) sigma=2.0 L=66 (test)
2.17Mean CRPS
3