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ResearchFormerly WizWand

Inverse coefficient identification on Inverse Problem 5.3 nf, nc = 211, 71

0.0152Relative Error (x10^-2)Fourier Transformer
0.0094230.0486190.0878150.127011May 31, 2021
Updated 8mo ago

Evaluation results

MethodLinks
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=02021.050.0152
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0156
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=02021.050.0165
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0173
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=02021.050.0189
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0206
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0207
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=02021.050.0214
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.012021.050.0269
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.027
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=0.012021.050.0273
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0278
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.012021.050.0312
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0337
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=0.012021.050.0354
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0354
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=0.12021.050.079
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0802
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0811
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.12021.050.0829
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.12021.050.0879
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0892
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=0.12021.050.0962
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0987
FNO2dinput_resolution=only nc, Noise level (epsilon)=02021.050.136
FNO2dinput_resolution=only nc, Noise level (epsilon)=0.012021.050.1369
FNO2dinput_resolution=only nf, Noise level (epsilon)=02021.050.1393
FNO2dinput_resolution=only nf, Noise level (epsilon)=0.012021.050.1396
FNO2dinput_resolution=only nf, Noise level (epsilon)=0.12021.050.1504
FNO2dinput_resolution=only nc, Noise level (epsilon)=0.12021.050.1604