Allen-Cahn
Benchmarks
TaskDatasetSOTA resultTrendResults
Allen-Cahn 3D
4.125Relative L2 Error (t=50)
24
Allen-Cahn
0Relative Error
21
Allen–Cahn 10K-epoch
1.19Relative L2 Error
16
Allen-Cahn 1D
0.05Mean L2 Relative Error
12
Allen-Cahn
0Relative L2 Error
12
Allen-Cahn continuous parameter space (test)
1,328Memory (MB)
10
1D Allen-Cahn
1.09Training Time (s)
7
Allen-Cahn (test)
0.004Mean Relative L2 Error
6
Allen-Cahn
27,937Total Parameters
6
Allen–Cahn
20.05Total Training Time (min)
6
Allen–Cahn
6.87Max GPU Memory Usage (GB)
6
Allen-Cahn-2D
100Success Rate
6
Allen-Cahn
1.33Inference Time (s)
6
Allen-Cahn
0.009MSE
6
Allen-Cahn (test)
1.03Relative L1 Error (Final Time)
6
Allen-Cahn (test)
0MSE
6
Allen–Cahn (train)
1.54Residual MSE
5
Allen-Cahn 20D
119.8Evaluation Time
5
Allen-Cahn 10D
66.29Evaluation Cost
5
Allen-Cahn 1D (test)
0.006Relative Prediction Error (5-step)
4
Allen-Cahn 2D (test)
0.375-Step Relative Prediction Error
3
Allen-Cahn-2D (full)
100SR
3
Allen-Cahn 100KD
0.054Error
3
Allen-Cahn 10KD
0Error
3
Allen-Cahn 1KD
0.053Error
3