Model Reduction on Burgers' Equation Shift Trajectory Manifold
1.16Relative Test ErrorConv-Weld-4
Evaluation results
| Method | Links | |
|---|---|---|
| Conv-Weld-4Latent Dimension=602025.12 | 1.16 | |
| Conv-Weld-2Latent Dimension=602025.12 | 1.47 | |
| FF-Weld-4Latent Dimension=302025.12 | 1.51 | |
| Conv-Weld-4Latent Dimension=902025.12 | 1.53 | |
| Conv-Weld-2Latent Dimension=2402025.12 | 1.55 | |
| Conv-Weld-2Latent Dimension=902025.12 | 1.7 | |
| Conv-Weld-2Latent Dimension=2702025.12 | 1.71 | |
| Conv-Weld-2Latent Dimension=2102025.12 | 1.78 | |
| FF-Weld-2Latent Dimension=602025.12 | 1.81 | |
| Conv-Weld-4Latent Dimension=302025.12 | 1.99 | |
| Conv-Weld-2Latent Dimension=3002025.12 | 2.01 | |
| Conv-Weld-2Latent Dimension=1202025.12 | 2.02 | |
| Conv-AENetLatent Dimension=602025.12 | 2.04 | |
| Conv-Weld-2Latent Dimension=1502025.12 | 2.05 | |
| Conv-Weld-4Latent Dimension=3002025.12 | 2.05 | |
| Latent-DONLatent Dimension=302025.12 | 2.09 | |
| FF-AENetLatent Dimension=302025.12 | 2.18 | |
| TimeInputLatent Dimension=602025.12 | 2.22 | |
| Conv-Weld-4Latent Dimension=2702025.12 | 2.27 | |
| Conv-Weld-4Latent Dimension=2102025.12 | 2.29 | |
| FF-Weld-2Latent Dimension=302025.12 | 2.32 | |
| Conv-Weld-4Latent Dimension=1202025.12 | 2.37 | |
| FF-Weld-2Latent Dimension=3002025.12 | 2.42 | |
| Conv-Weld-2Latent Dimension=302025.12 | 2.45 | |
| FF-Weld-2Latent Dimension=902025.12 | 2.46 | |
| FF-Weld-2Latent Dimension=2702025.12 | 2.47 | |
| Latent-DONLatent Dimension=2402025.12 | 2.48 | |
| Conv-Weld-2Latent Dimension=1802025.12 | 2.52 | |
| Conv-Weld-4Latent Dimension=2402025.12 | 2.53 | |
| LDNetLatent Dimension=302025.12 | 2.54 | |
| Latent-DONLatent Dimension=2702025.12 | 2.61 | |
| TimeInputLatent Dimension=3002025.12 | 2.65 | |
| TimeInputLatent Dimension=2702025.12 | 2.67 | |
| Latent-DONLatent Dimension=2102025.12 | 2.72 | |
| Conv-Weld-4Latent Dimension=1502025.12 | 2.78 | |
| FF-AENetLatent Dimension=2402025.12 | 2.84 | |
| FF-Weld-2Latent Dimension=2402025.12 | 2.87 | |
| FF-AENetLatent Dimension=2702025.12 | 2.89 | |
| Conv-AENetLatent Dimension=902025.12 | 2.91 | |
| Latent-DONLatent Dimension=602025.12 | 2.91 | |
| TimeInputLatent Dimension=302025.12 | 2.91 | |
| Conv-Weld-4Latent Dimension=1802025.12 | 2.95 | |
| TimeInputLatent Dimension=2402025.12 | 3.03 | |
| FF-AENetLatent Dimension=602025.12 | 3.1 | |
| FF-AENetLatent Dimension=2102025.12 | 3.12 | |
| Latent-DONLatent Dimension=3002025.12 | 3.18 | |
| Latent-DONLatent Dimension=1802025.12 | 3.2 | |
| TimeInputLatent Dimension=902025.12 | 3.23 | |
| Conv-AENetLatent Dimension=302025.12 | 3.28 | |
| FF-AENetLatent Dimension=3002025.12 | 3.4 | |
| FF-Weld-2Latent Dimension=2102025.12 | 3.63 | |
| FF-Weld-4Latent Dimension=602025.12 | 3.64 | |
| FF-AENetLatent Dimension=1802025.12 | 3.64 | |
| TimeInputLatent Dimension=2102025.12 | 3.66 | |
| Latent-DONLatent Dimension=1502025.12 | 3.86 | |
| LDNetLatent Dimension=602025.12 | 3.99 | |
| Latent-DONLatent Dimension=902025.12 | 4 | |
| FF-Weld-2Latent Dimension=1202025.12 | 4.27 | |
| Conv-AENetLatent Dimension=1202025.12 | 4.42 | |
| FF-AENetLatent Dimension=1502025.12 | 4.44 | |
| TimeInputLatent Dimension=1802025.12 | 4.51 | |
| FF-Weld-2Latent Dimension=1502025.12 | 4.55 | |
| Latent-DONLatent Dimension=1202025.12 | 4.6 | |
| FF-Weld-4Latent Dimension=2702025.12 | 4.68 | |
| FF-AENetLatent Dimension=902025.12 | 4.68 | |
| FF-Weld-4Latent Dimension=3002025.12 | 4.72 | |
| FF-Weld-2Latent Dimension=1802025.12 | 4.84 | |
| FF-Weld-4Latent Dimension=2102025.12 | 4.92 | |
| FF-Weld-4Latent Dimension=2402025.12 | 5.36 | |
| FF-AENetLatent Dimension=1202025.12 | 5.42 | |
| TimeInputLatent Dimension=1202025.12 | 5.48 | |
| TimeInputLatent Dimension=1502025.12 | 5.5 | |
| Conv-AENetLatent Dimension=1502025.12 | 5.54 | |
| FF-Weld-4Latent Dimension=1802025.12 | 5.57 | |
| FF-Weld-4Latent Dimension=902025.12 | 5.7 | |
| FF-Weld-4Latent Dimension=1502025.12 | 6.23 | |
| Conv-AENetLatent Dimension=1802025.12 | 6.27 | |
| LDNetLatent Dimension=3002025.12 | 6.38 | |
| LDNetLatent Dimension=2702025.12 | 6.57 | |
| FF-Weld-4Latent Dimension=1202025.12 | 6.69 | |
| LDNetLatent Dimension=2402025.12 | 7.22 | |
| Conv-AENetLatent Dimension=2102025.12 | 7.38 | |
| LDNetLatent Dimension=2102025.12 | 8.11 | |
| Conv-AENetLatent Dimension=2402025.12 | 8.67 | |
| LDNetLatent Dimension=1802025.12 | 9.19 | |
| Conv-AENetLatent Dimension=2702025.12 | 9.98 | |
| LDNetLatent Dimension=1502025.12 | 10.41 | |
| LDNetLatent Dimension=902025.12 | 10.43 | |
| Conv-AENetLatent Dimension=3002025.12 | 11.19 | |
| LDNetLatent Dimension=1202025.12 | 11.58 | |
| PCA-WeldNet-4Latent Dimension=302025.12 | 14.84 | |
| PCA-WeldNet-2Latent Dimension=302025.12 | 15 | |
| PCA-AENetLatent Dimension=302025.12 | 15.21 | |
| PCA-WeldNet-4Latent Dimension=602025.12 | 15.68 | |
| PCA-WeldNet-2Latent Dimension=602025.12 | 16.28 | |
| PCA-AENetLatent Dimension=602025.12 | 20.58 | |
| HDPLatent Dimension=302025.12 | 21.55 | |
| PCA-WeldNet-4Latent Dimension=902025.12 | 34.66 | |
| PCA-WeldNet-2Latent Dimension=902025.12 | 34.93 | |
| PCA-AENetLatent Dimension=902025.12 | 37.29 |