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Papers Benchmarks Datasets Tasks

Advection Equation dataset and benchmarks · SOTA2 Research

Research Datasets

Advection Equation

Benchmarks

Task NameDataset NameSOTA MethodSort

Task NameDataset NameSOTA ResultTrendResults

Symbolic Regression

3D Advection Equation (test)

0.123MSE

60

Symbolic Regression

2D Advection Equation (test)

0.138MSE

38

Conservation Error Estimation

Advection equation 1D

1.56Momentum Error

8

Equation Discovery

Advection Equation Noise Levels: 0%, 1%, 20% (large) PDE

0.26RMSE (0% Noise)

8

Solving Advection Equation

Advection Equation

1.19Relative L2 Error

6

Advection Equation

Advection Equation 60K epochs

0L1 Error

5

Advection equation

1.15Relative L2 Error

4

Popular tasks

Symbolic Regression PDE solving Equation Discovery Advection Equation Conservation Error Estimation

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