PDE Discovery

Benchmarks

Dataset Name	SOTA Method	Metric
React-Diff PDE	PySINDy 2.0.0	F1 Score100	24	2mo ago
KdV–Burgers PDE	EqOD	F1 Score95.7	24	2mo ago
KS PDE	PySINDy 2.0.0	F1 Score100	24	2mo ago
NLS equation dataset	Weak-PDE-Net	TPR100	18	4mo ago
KdV PDE	PySINDy 2.0.0	F1 Score100	16	2mo ago
KdV equation	Weak-PDE-Net	TPR100	10	4mo ago
Kuramoto-Sivashinsky (KS) Equation	Weak-PDE-Net	TPR100	10	4mo ago
1D viscous Burgers equation	Weak-PDE-Net	TPR100	10	4mo ago
2D Wave equation	Weak-PDE-Net	TPR100	10	4mo ago
Sine-Gordon (SG) equation dataset	Weak-PDE-Net	TPR100	10	4mo ago
Burgers' equation multiple-source dataset 1000 data per case	PDE-FIND	Discovered PDE Structure1	8	24d ago
Burgers' equation multiple-source 100 data per case	PDE-FIND	PDE Structure Match1	8	24d ago
Burgers' equation from multiple-source dataset 50 data per case	PDE-FIND	Discovered PDE Structure1	8	24d ago
Fisher-KPP	WSINDy	F1 Score59.8	8	2mo ago
Heat	WSINDy	F1 Score100	8	2mo ago
Heat PDE	PySINDy 2.0.0	F1 Score100	8	2mo ago
Burgers’ equation (0.2% Noise)	BLADE	MSE0	5	3mo ago
Video-to-PDE (val)	C	Median Train MSE1.745	4	2mo ago
Burgers’ equation (viscosity ϑ = 0.1, noise level ϵ = 50)	ELTO-AKF	MSE2.48	2	1mo ago
Cylinder wake experimental data from PINN-SR		Weak-form R^2 (Slice 0 - lower)0.632	2	2mo ago
2D Wave Equation 0.1% noise	PDE-Net 2.0	MSE2.92	2	4mo ago
2D Wave Equation 0.0% noise	SGN	MSE2.54	2	4mo ago
2D Wave Equation 10.0% noise	SGN	MSE7.84	1	4mo ago
2D Wave Equation 5.0% noise	SGN	MSE6.71	1	4mo ago
2D Wave Equation 2.0% noise	SGN	MSE0.0001	1	4mo ago

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