1D Advection Equation Modeling on 1D Advection Equation
0.146MSENMIPS
Evaluation results
| Method | Links | ||
|---|---|---|---|
| NMIPSbeta (β)=0.7, Num=2, Testing scenario index=02026.02 | 0.146 | — | |
| NMIPSbeta (β)=0.7, Num=2, Testing scenario index=12026.02 | 0.148 | — | |
| SP-GPSRbeta (β)=0.7, Num=22026.02 | 0.151 | — | |
| PhySObeta (β)=0.7, Num=22026.02 | 0.159 | — | |
| DSRbeta (β)=0.7, Num=22026.02 | 0.159 | — | |
| NMIPSbeta (β)=0.7, Num=2, Testing scenario index=32026.02 | 0.16 | — | |
| Geo-FNObeta (β)=0.7, Num=22026.02 | 0.214 | — | |
| NMIPSbeta (β)=0.4, Num=1, Testing scenario index=22026.02 | 0.433 | — | |
| NMIPSbeta (β)=0.4, Num=1, Testing scenario index=32026.02 | 0.433 | — | |
| NMIPSbeta (β)=0.4, Num=1, Testing scenario index=02026.02 | 0.434 | — | |
| SP-GPSRbeta (β)=0.4, Num=12026.02 | 0.444 | — | |
| GNOTbeta (β)=0.4, Num=12026.02 | 0.448 | — | |
| DSRbeta (β)=0.4, Num=12026.02 | 0.451 | — | |
| PhySObeta (β)=0.4, Num=12026.02 | 0.464 | — | |
| GNOTbeta (β)=0.7, Num=22026.02 | 0.525 | — | |
| Geo-FNObeta (β)=0.4, Num=12026.02 | 0.539 | — | |
| NMIPSAggregation=Average2026.02 | 0.547 | — | |
| DSRAggregation=Average2026.02 | 0.558 | — | |
| NMIPSbeta (β)=0.1, Num=0, Testing scenario index=12026.02 | 0.564 | — | |
| NMIPSbeta (β)=0.1, Num=0, Testing scenario index=32026.02 | 0.575 | — | |
| SP-GPSRAggregation=Average2026.02 | 0.577 | — | |
| NMIPSbeta (β)=0.1, Num=0, Testing scenario index=22026.02 | 0.587 | — | |
| DSRbeta (β)=0.1, Num=02026.02 | 0.593 | — | |
| PhySOAggregation=Average2026.02 | 0.597 | — | |
| SP-GPSRbeta (β)=0.1, Num=02026.02 | 0.608 | — | |
| GNOTAggregation=Average2026.02 | 0.611 | — | |
| PhySObeta (β)=0.1, Num=02026.02 | 0.624 | — | |
| GNOTbeta (β)=1, Num=32026.02 | 0.655 | — | |
| Geo-FNOAggregation=Average2026.02 | 0.719 | — | |
| GNOTbeta (β)=0.1, Num=02026.02 | 0.818 | — | |
| Geo-FNObeta (β)=0.1, Num=02026.02 | 0.952 | — | |
| NMIPSbeta (β)=1, Num=3, Testing scenario index=02026.02 | 1.02 | — | |
| NMIPSbeta (β)=1, Num=3, Testing scenario index=22026.02 | 1.02 | — | |
| DSRbeta (β)=1, Num=32026.02 | 1.03 | — | |
| NMIPSbeta (β)=1, Num=3, Testing scenario index=12026.02 | 1.04 | — | |
| SP-GPSRbeta (β)=1, Num=32026.02 | 1.11 | — | |
| PhySObeta (β)=1, Num=32026.02 | 1.14 | — | |
| Geo-FNObeta (β)=1, Num=32026.02 | 1.17 | — | |
| DR-NODEzeta=0.012025.02 | — | 188,549 | |
| DR-NODEzeta=varying2025.02 | — | 214,461 | |
| FNO2025.02 | — | 549,569 | |
| Galerkin T.2025.02 | — | 530,305 | |
| MP-PDE2025.02 | — | 614,929 | |
| OFormer2025.02 | — | 660,814 | |
| U-Net2025.02 | — | 557,137 | |
| VCNeF2025.02 | — | 793,825 |