Table 5 Computation times using a GPU for the D-LSPF applied to the multi phase leak localization test case. All timings are computed with 5000 particles.
HF | Reg-ViT-Trans | NoReg-ViT-Trans | Reg-Conv-Trans | Reg-ViT-NODE | |
|---|---|---|---|---|---|
P-RRMSE \(\downarrow\) | \(5.2\times 10^{-1}\) | \(\mathbf {9.6\times 10^{-3}}\) | \(1.1\times 10^{-2}\) | \(7.4\times 10^{-1}\) | \(1.5\times 10^{-2}\) |
P-Wasserstein-1 \(\downarrow\) | – | 169.9 | 168.4 | 875.7 | 172.7 |
S-RRMSE \(\downarrow\) | \(7.9\times 10^{-2}\) | \(\mathbf {2.5\times 10^{-2}}\) | \(2.9 \times 10^{-2}\) | \(8.3 \times 10^{-2}\) | \(3.1\times 10^{-2}\) |
S-AMRMSE \(\downarrow\) | – | \(\mathbf {4.3\times 10^{-3}}\) | \(4.4\times 10^{-3}\) | \(4.5\times 10^{-3}\) | \(4.5\times 10^{-3}\) |
P-NLL \(\downarrow\) | – | 5.09 | 5.70 | 6.01 | 12.54 |
S-NLL \(\downarrow\) | – | 16.87 | 15.37 | 18.37 | 17.32 |
Time (GPU) \(\downarrow\) | – | 24.89 s | 24.90 s | 23.58 s | 6.52 |
Speed-up (GPU) \(\downarrow\) | – | 1807.95 | 1807.23 | 1908.40 | 6901.84 |
Time (CPU) \(\downarrow\) | 45,000 s | 332.3 s | 317.0 s | 328.8 s | 45.9 s |
Speed-up (CPU) \(\downarrow\) | – | 135.4 | 142.0 | 136.9 | 980.8 |
