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ResearchFormerly WizWand

Inverse coefficient identification on Inverse Problem 5.3 nf, nc = 141, 36

0.018Relative ErrorFourier Transformer
0.011790.0536420.0954950.137348May 31, 2021
Updated 8mo ago

Evaluation results

MethodLinks
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.018
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=02021.050.0192
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=02021.050.0194
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0203
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=02021.050.0216
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0225
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=02021.050.0236
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=02021.050.0243
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0247
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0254
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=0.012021.050.0255
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.012021.050.0272
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.012021.050.0281
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0311
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.012021.050.0319
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=0.012021.050.032
Galerkin TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0666
Galerkin TransformerLayerNorm=on K, V, Noise level (epsilon)=0.12021.050.0669
Fourier TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.12021.050.0673
Fourier TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0681
Softmax TransformerLayerNorm=on Q, K, Noise level (epsilon)=0.12021.050.07
Softmax TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0743
Linear TransformerLayerNorm=on K, V, Noise level (epsilon)=0.12021.050.0866
Linear TransformerLayerNorm=regular Ln, Noise level (epsilon)=0.12021.050.0906
FNO2dinput_resolution=only nf, Noise level (epsilon)=02021.050.1371
FNO2dinput_resolution=only nf, Noise level (epsilon)=0.012021.050.1378
FNO2dinput_resolution=only nc, Noise level (epsilon)=02021.050.1417
FNO2dinput_resolution=only nc, Noise level (epsilon)=0.012021.050.1431
FNO2dinput_resolution=only nf, Noise level (epsilon)=0.12021.050.1512
FNO2dinput_resolution=only nc, Noise level (epsilon)=0.12021.050.173