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Benchmarks
PDE Simulation on High-dimensional Heat Equation 10-dimensional (test)
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0
MAE (t=0)
PFNN
-0.000876
0.005037
0.01095
0.016863
Oct 6, 2022
MAE (t=0)
MAE (t=0.5)
MAE (t=1)
MAE (average)
MAPE (t=0)
MAPE (t=0.5)
MAPE (t=1)
MAPE (average)
Updated 3mo ago
Evaluation Results
Method
Method
Links
MAE (t=0)
MAE (t=0.5)
MAE (t=1)
MAE (average)
MAPE (t=0)
MAPE (t=0.5)
MAPE (t=1)
MAPE (average)
PFNN
2022.10
0
0.1253
0.3367
0.1425
0
5.02
8.19
4.64
HC
2022.10
0
0.0029
0.0043
0.0026
0
0.12
0.11
0.1
PINN-LA
2022.10
0.0085
0.0149
0.0727
0.0235
0.55
0.59
1.73
0.78
PINN-LA-2
2022.10
0.0122
0.0274
0.1495
0.0466
0.79
1.08
3.57
1.49
PINN
2022.10
0.0219
0.0428
0.1687
0.0582
1.43
1.7
4.04
1.99
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