Kolmogorov flow
Benchmarks
TaskDatasetSOTA resultTrendResults
Kolmogorov flow short horizon 60 steps
0.016RMSE
63
Kolmogorov flow long horizon 180 steps
0.016RMSE
45
Kolmogorov Flow
1KDE R^2
20
KF256 (2D Kolmogorov Flow) (test)
0.309RL2
13
Kolmogorov flow
-2.712Decay Rate Exponent
12
Kolmogorov Flow (test)
1.89Log-Likelihood
8
Kolmogorov flow
0Dissipation
8
Kolmogorov flow long horizon, 180 steps
180HCT (MS, Res=2)
8
Kolmogorov flow short horizon 60 steps
38HCT (MS-2)
8
2D Kolmogorov flow
0.149w Avg Error
8
Kolmogorov Flow ν=1e-4
0.001Wasserstein Distance
7
Kolmogorov Flow ν=5e-4
0.001Wasserstein Distance
7
Kolmogorov Flow ν=1e-3
0.001Wasserstein Distance
7
Kolmogorov flow 2D Navier-Stokes
1.72Mean
7
Kolmogorov flow 40 frames Super-resolution (test)
0.02L2 Relative Error
6
Kolmogorov flow 40 frames Forcing-shift (test)
0.021L2 Relative Error
6
Kolmogorov flow 40 frames Viscosity-shift (test)
0.034L2 Relative Error
6
Kolmogorov flow 40 frames In-distribution (test)
0.808L2 Relative Error
6
Kolmogorov Flow
0MSE (1-step)
6
Kolmogorov Flow PhysBR |S| = 256 (test)
45Mean Relative L2 Error
5
Kolmogorov Flow PhysBR |S| = 3,200 (test)
0.12Mean Rel L2 Error
5
Kolmogorov Flow single-traj Clean (sigma = 0.0)
0.178L1 Histogram Distance
4
Kolmogorov Flow
0Encoder Training Time (s)
4
Kolmogorov Flow (test)
6,431IT
4
Kolmogorov Flow nu=1e-4 standard (test)
1.8Mean CRPS
3