Heat equation
Benchmarks
TaskDatasetSOTA resultTrendResults
Heat Equation 24 (test)
0.019Empirical L2 Error
84
Heat equation (24) m=30 (test)
0.031Empirical L2-error
14
Heat equation 24 m=20 (test)
0.081Empirical L2 Error
14
Heat equation (24) m=10 (test)
0.029L2 Error (Empirical)
14
5D-Heat equation
0.001Relative L2 Error
10
Heat Equation
0.845MMSE
7
heat equation multi-frequency initial condition
1.41Best Relative L2 Error
5
Heat Equation 20K epochs
0.002L1 Error
5
Heat Equation PDE Noise Levels: 0%, 0.1%, 15% (large)
1Mp
4
Heat Equation
0.002L2 Error
3
Heat Equation Step IC
1.8MSE (IBC)
2
Heat Equation Sine Mix IC
2MSE (IBC)
2
Heat Equation Sine IC
2.4MSE (IBC)
2
Heat Equation Gauss IC
2.4MSE (IBC)
2
Heat Equation Poly IC
8.2MSE (IBC)
2