Spatiotemporal Chaos Forecasting on Kuramoto-Sivashinsky (KS) system
95Mean VPTWeak DM (Poly)
Evaluation results
| Method | Links | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Weak DM (Poly)Framework=Weak DM, Filtering=Poly, Test Function Parameters (p,L,h)=(7,5.5,1.1)2026.06 | 95 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (Poly)Framework=Weak (WKRR), Kernel=Diffusion Maps (DM), Filtering=Poly2026.06 | 95 | — | — | — | — | — | — | — | — | — | — | 75.51 | |
| Weak DM (n/a)Framework=Weak DM, Filtering=n/a, Test Function Parameters (p,L,h)=(7,5.5,1.1)2026.06 | 89 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (n/a)Framework=Weak (WKRR), Kernel=Diffusion Maps (DM), Filtering=n/a2026.06 | 89 | — | — | — | — | — | — | — | — | — | — | 75.51 | |
| Strong DM (Wavelet)Framework=Strong (KRR), Kernel=Diffusion Maps (DM), Filtering=Wavelet2026.06 | 87 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong DM (Poly)Framework=Strong (KRR), Kernel=Diffusion Maps (DM), Filtering=Poly2026.06 | 85 | — | — | — | — | — | — | — | — | — | — | 75.51 | |
| Strong (Wavelet)Framework=Strong, Filtering=Wavelet2026.06 | 80 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (Poly)Framework=Weak, Filtering=Poly, Test Function Parameters (p,L,h)=(7,5.5,1.1)2026.06 | 80 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Poly)Framework=Strong, Filtering=Poly, Test Function Parameters (p,L,h)=(7,5.5,1.1)2026.06 | 79 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (n/a)Framework=Weak, Filtering=n/a, Test Function Parameters (p,L,h)=(7,5.5,1.1)2026.06 | 78 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (n/a)Framework=Strong, Filtering=n/a2026.06 | 75 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong DM (n/a)Framework=Strong (KRR), Kernel=Diffusion Maps (DM), Filtering=n/a2026.06 | 74 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (n/a)Framework=Weak DM, Filtering=n/a, Test Function Parameters (p,L,h)=(5,8,1.6)2026.06 | 67 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (Poly)Framework=Weak DM, Filtering=Poly, Test Function Parameters (p,L,h)=(5,8,1.6)2026.06 | 67 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Wavelet)Framework=Strong, Filtering=Wavelet2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Poly)Framework=Strong, Filtering=Poly, Test Function Parameters (p,L,h)=(5,8,1.6)2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (n/a)Framework=Weak, Filtering=n/a, Test Function Parameters (p,L,h)=(5,8,1.6)2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (Poly)Framework=Weak, Filtering=Poly, Test Function Parameters (p,L,h)=(5,8,1.6)2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (n/a)Framework=Weak DM, Filtering=n/a, Test Function Parameters (p,L,h)=(5,9.5,1.9)2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (Poly)Framework=Weak DM, Filtering=Poly, Test Function Parameters (p,L,h)=(5,9.5,1.9)2026.06 | 55 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Wavelet)Framework=Strong, Filtering=Wavelet2026.06 | 47 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (Poly)Framework=Weak, Filtering=Poly, Test Function Parameters (p,L,h)=(5,9.5,1.9)2026.06 | 47 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Poly)Framework=Strong, Filtering=Poly, Test Function Parameters (p,L,h)=(5,9.5,1.9)2026.06 | 46 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (n/a)Framework=Weak, Filtering=n/a, Test Function Parameters (p,L,h)=(5,9.5,1.9)2026.06 | 46 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (n/a)Framework=Weak DM, Filtering=n/a, Test Function Parameters (p,L,h)=(6,11.5,2.3)2026.06 | 44 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak DM (Poly)Framework=Weak DM, Filtering=Poly, Test Function Parameters (p,L,h)=(6,11.5,2.3)2026.06 | 44 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Wavelet)Framework=Strong, Filtering=Wavelet2026.06 | 39 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (Poly)Framework=Strong, Filtering=Poly, Test Function Parameters (p,L,h)=(6,11.5,2.3)2026.06 | 39 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (n/a)Framework=Weak, Filtering=n/a, Test Function Parameters (p,L,h)=(6,11.5,2.3)2026.06 | 39 | — | — | — | — | — | — | — | — | — | — | — | |
| Weak (Poly)Framework=Weak, Filtering=Poly, Test Function Parameters (p,L,h)=(6,11.5,2.3)2026.06 | 39 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (n/a)Framework=Strong, Filtering=n/a2026.06 | 38 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (n/a)Framework=Strong, Filtering=n/a2026.06 | 25 | — | — | — | — | — | — | — | — | — | — | — | |
| Strong (n/a)Framework=Strong, Filtering=n/a2026.06 | 16 | — | — | — | — | — | — | — | — | — | — | — | |
| DeepSkip2025.11 | — | 4.26 | 2.51 | 1.16 | 0.76 | 0.45 | 0.03 | 0.01 | 0.034 | 0.09 | 1.71 | — | |
| MP-NODE2025.11 | — | 1.63 | 2.13 | 2.37 | 1.57 | 1.14 | 0.13 | 0.1 | 0.009 | 0.1 | 0.46 | — | |
| Strong NODETrajectory window size (T)=502025.11 | — | 2.78 | 2.67 | 2.89 | 2.12 | 1.27 | 0.16 | 0.21 | 0.18 | 0.15 | 0.13 | — | |
| Strong NODETrajectory window size (T)=252025.11 | — | 2.61 | 2.49 | 2.45 | 1.88 | 1.32 | 0.45 | 0.08 | 0.01 | 0.01 | 0.02 | — | |
| Weak NODE2025.11 | — | 3.49 | 3.82 | 1.97 | 2.42 | 0.44 | 1.78 | 1.57 | 1.9 | 1.9 | 1.9 | — | |
| WP-NODE2025.11 | — | 3.38 | 3.71 | 3.31 | 2.87 | 1.53 | 0.93 | 0.12 | 0.008 | 0.02 | 0.1 | — |