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ResearchFormerly WizWand

PDE Discovery

Benchmarks

DatasetSOTA methodMetricTrendResultsLast updated

100F1 Score

24

May 13, 2026

KdV–Burgers PDE

95.7F1 Score

24

May 13, 2026

100F1 Score

24

May 13, 2026

NLS equation dataset

100TPR

18

Mar 25, 2026

100F1 Score

16

May 13, 2026

100TPR

10

Mar 25, 2026

Kuramoto-Sivashinsky (KS) Equation

100TPR

10

Mar 25, 2026

1D viscous Burgers equation

100TPR

10

Mar 25, 2026

2D Wave equation

100TPR

10

Mar 25, 2026

Sine-Gordon (SG) equation dataset

100TPR

10

Mar 25, 2026

Burgers' equation multiple-source dataset 1000 data per case

1Discovered PDE Structure

8

Jul 1, 2026

Burgers' equation multiple-source 100 data per case

1PDE Structure Match

8

Jul 1, 2026

Burgers' equation from multiple-source dataset 50 data per case

1Discovered PDE Structure

8

Jul 1, 2026

59.8F1 Score

8

May 13, 2026

100F1 Score

8

May 13, 2026

100F1 Score

8

May 13, 2026

Burgers’ equation (0.2% Noise)

0MSE

5

Apr 14, 2026

Video-to-PDE (val)

1.745Median Train MSE

4

May 7, 2026

Burgers’ equation (viscosity ϑ = 0.1, noise level ϵ = 50)

2.48MSE

2

Jun 15, 2026

Cylinder wake experimental data from PINN-SR

0.632Weak-form R^2 (Slice 0 - lower)

2

May 13, 2026

2D Wave Equation 0.1% noise

2.92MSE

2

Mar 25, 2026

2D Wave Equation 0.0% noise

2.54MSE

2

Mar 25, 2026

2D Wave Equation 10.0% noise

7.84MSE

1

Mar 25, 2026

2D Wave Equation 5.0% noise

6.71MSE

1

Mar 25, 2026

2D Wave Equation 2.0% noise

0MSE

1

Mar 25, 2026