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Non-smooth PDE solution regression research benchmarks · SOTA2 Research

Non-smooth PDE solution regression

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Fractal terrain R = 0.8

0.014Test MSE

3

Mar 31, 2026

Fractal terrain R = 0.6

0.038Test MSE

3

Mar 31, 2026

Fractal terrain R = 0.4

0.102Test MSE

3

Mar 31, 2026

Fractal terrain R = 0.2

0.215Test MSE

3

Mar 31, 2026

Stochastic heat equation σ = 1.0

0.016Test MSE

3

Mar 31, 2026

Stochastic heat equation σ = 0.5

0.007Test MSE

3

Mar 31, 2026

Stochastic heat equation σ = 0.1

0.001Test MSE

3

Mar 31, 2026

L-shaped domain Laplacian Hölder 2/3

0.001Test MSE

3

Mar 31, 2026

Rough-coefficient diffusion Hc = 0.7

0Test MSE

3

Mar 31, 2026

Rough-coefficient diffusion Hc = 0.5

0Test MSE

3

Mar 31, 2026

Rough-coefficient diffusion Hc = 0.3

0Test MSE

3

Mar 31, 2026

Rough-coefficient diffusion Hc = 0.1

0Test MSE

3

Mar 31, 2026

Popular datasets

Rough-coefficient diffusion Fractal terrain Stochastic Heat Equation L-shaped domain Laplacian

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