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Operator Learning on Darcy interface problem nf=141, nc=43 (test)

0.0084Relative Error (x10^-2)Fourier Transformer
0.0081480.0097160.0112850.012854May 31, 2021

Evaluation results

MethodLinks
Fourier TransformerNormalization scheme=regular Layer Normalization2021.050.0084
Galerkin TransformerNormalization scheme=Galerkin projection-type Layer Normalization on K, V2021.050.0084
Fourier TransformerNormalization scheme=Galerkin projection-type Layer Normalization on Q, K2021.050.0087
Linear Transformer (LT)Normalization scheme=Galerkin projection-type Layer Normalization on K, V2021.050.0088
Galerkin TransformerNormalization scheme=regular Layer Normalization2021.050.0089
Softmax Transformer (ST)Normalization scheme=Galerkin projection-type Layer Normalization on Q, K2021.050.0095
Linear Transformer (LT)Normalization scheme=regular Layer Normalization2021.050.0102
Softmax Transformer (ST)Normalization scheme=regular Layer Normalization2021.050.0108
FNO2dTraining scheduler=original step scheduler (500 epochs)2021.050.0109
FNO2dTraining scheduler=1cycle (100 epochs)2021.050.0142