Statistical Emulation of Chaotic Systems on KS single-traj (Noisy (sigma = 0.3))
0.259L1 Histogram DistanceWGAN (1D-Conv) (ours)
Evaluation Results
| Method | Links | |||
|---|---|---|---|---|
| WGAN (1D-Conv) (ours)Architecture=1D-Conv, Dimension (d)=32026.04 | 0.259 | 0.198 | 0.393 | |
| WGAN (2D-Conv) (ours)Architecture=2D-Conv, Dimension (d)=32026.04 | 0.273 | 0.157 | 0.424 | |
| Fixed OTDimension (d)=32026.04 | 0.29 | 0.349 | 0.379 | |
| WGAN (ours)Dimension (d)=32026.04 | 0.339 | 0.148 | 0.375 | |
| Sinkhorn (2D-Conv) (ours)Architecture=2D-Conv, Dimension (d)=32026.04 | 0.36 | 0.144 | 0.405 | |
| Sinkhorn (ours)Dimension (d)=32026.04 | 0.435 | 0.219 | 0.373 | |
| No OT (baseline)Dimension (d)=32026.04 | 0.454 | 0.351 | 0.37 | |
| Fixed OTDimension (d)=32026.04 | 0.614 | 0.168 | 0.381 | |
| No OT (baseline)Dimension (d)=32026.04 | 0.66 | 0.249 | 0.381 |