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ResearchFormerly WizWand

Operator Learning on viscous Burgers' equation n=512

0.0011Relative ErrorFourier Transformer
0.0005480.0045080.0084680.012427May 31, 2021Dec 20, 2021Jul 11, 2022Jan 31, 2023Aug 22, 2023Mar 12, 2024Oct 2, 2024
Updated 8mo ago

Evaluation results

MethodLinks
Fourier TransformerNormalization scheme=Galerkin-type LayerNorm on Q, K2021.050.0011
Linear TransformerNormalization scheme=Galerkin-type LayerNorm on K, V2021.050.0011
Galerkin TransformerNormalization scheme=Galerkin-type LayerNorm on K, V2021.050.0012
Softmax TransformerNormalization scheme=Galerkin-type LayerNorm on Q, K2021.050.0013
Fourier TransformerNormalization scheme=Regular LayerNorm2021.050.0014
Leray-Schauder2024.100.0017
ANIE2024.100.0017
Linear TransformerNormalization scheme=Regular LayerNorm2021.050.0018
Softmax TransformerNormalization scheme=Regular LayerNorm2021.050.0019
Galerkin TransformerNormalization scheme=Regular LayerNorm2021.050.0022
FNO1dScheduler=1cycle, Epochs=1002021.050.0044
FNO1dScheduler=Step, Epochs=5002021.050.0158