Allen-Cahn equation
Benchmarks
TaskDatasetSOTA resultTrendResults
Allen-Cahn Equation E2
0MSE
35
2D Allen-Cahn equation a=15
0Relative L2 Error
32
Allen-Cahn equation
0L2 Relative Error
25
4D Allen-Cahn equation a=15 d=4
0Relative L2 Error
24
Allen-Cahn equation n = 32 (test)
0.001Relative L2 Error
7
Allen-Cahn Equation RPB (Out)
1.1Relative Median L1 Error
7
Allen-Cahn Equation RPB (In)
0.28Relative Median L1 Error
7
Allen-Cahn equation Large regime, phi=2
0Relative MSE
6
Allen-Cahn equation Medium regime, phi=1
0Relative MSE
6
Allen-Cahn equation Small regime, phi=0.5
0Relative MSE
6
Allen-Cahn equation 17
0ReL2 Error
6
Allen-Cahn equation 6D a=15 48000 points
0Relative L2 Error
5
6D Allen-Cahn equation a=15 d=6 32000 points
0Relative L2 Error
5
Allen–Cahn equation (test)
0.13RMSE
4
Allen-Cahn equation Example 7 epsilon = 10−4
0.96L2 Error
4
Allen-Cahn Equation vanilla PINN (test)
4.95rRMSE
3
Allen-Cahn Equation Solution Data Inverse problem
—Primary metric
0