SOTA Function Approximation benchmarks and papers with code

Benchmarks

Dataset Name	SOTA Method	Metric
Bratley Sum D=250	DeepPCE	Relative MSE0.0008	40	18d ago
Bratley Sum D=100	DeepPCE	Relative MSE0.0002	40	18d ago
F3(ξ)	Padé[K/3]-rKAN	MSE0	33	1mo ago
Function F2(xi)	Jacobi-rKAN	MSE0	31	1mo ago
Bratley Sum D=500	DeepPCE	Relative MSE0.0016	30	18d ago
Bratley Sum D=750	DeepPCE	Relative MSE0.001	20	18d ago
Function Approximation [np, 6, 1]	WavKAN	Time (sec/iter)0.0054	14	1mo ago
ModP (x, 4) over [0, 29]	BitStack	MAE0	12	1mo ago
Bratley Sum D=2000	DeepPCE	Relative MSE4.012	10	18d ago
Bratley Sum D=1000	DeepPCE	Relative MSE0.0016	10	18d ago
Negative Entropy (test)		Tsolve (s)0	7	1mo ago
Negative Logarithm (Neg. Log) (test)		Solve Time (s)0	7	1mo ago
KAN Paper Toy Functions 4D composite	KAN	Mean MSE1.38	6	18d ago
KAN Paper Toy Functions 10D sum	Hybrid FI-KAN	Mean Squared Error (MSE)0.0004	6	18d ago
KAN Paper Toy Functions (x · y)		Mean Squared Error (MSE)0	6	18d ago
KAN Paper Toy Functions e^x sin(y) + y^2	KAN	Mean MSE0.0432	6	18d ago
KAN Paper Toy Functions J0 Bessel	KAN	Mean Squared Error (MSE)0.0002	6	18d ago
2D smooth		RMSE2.481	5	1mo ago
3D Coulomb	MLP	RMSE2.361	4	1mo ago
2D multi-power	MLP	RMSE1.641	4	1mo ago
2D r^-1	MLP	RMSE1.731	4	1mo ago
2D r^1/2		RMSE1.081	4	1mo ago
2D log r		RMSE1.701	4	1mo ago
Analytic functions on L²(ℝ^d, γ_d), holomorphic in a strip	3D ReLU Network	Error Bound1	2	1mo ago
Analytic functions on [0, 1 - δ]^d	3D ReLU Network	Approximation Error1	2	1mo ago

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