Function Approximation

Benchmarks

Dataset Name	SOTA Method	Metric
Function F2(xi)	Jacobi-rKAN	MSE0	45	16d ago
Two-dimensional function Equation 34	TP-ResNet	L_inf Error0	40	5d ago
Bratley Sum D=250	DeepPCE	Relative MSE0.0008	40	2mo ago
Bratley Sum D=100	DeepPCE	Relative MSE0.0002	40	2mo ago
F3(ξ)	Padé[K/3]-rKAN	MSE0	33	3mo ago
Bratley Sum D=500	DeepPCE	Relative MSE0.0016	30	2mo ago
Bratley Sum D=750	DeepPCE	Relative MSE0.001	20	2mo ago
Function Approximation [np, 6, 1]	WavKAN	Time (sec/iter)0.0054	14	3mo ago
ModP (x, 4) over [0, 29]	BitStack	MAE0	12	3mo ago
multi-sqrt	SincKAN	RMSE0.0002	10	1mo ago
sin high	SincKAN	RMSE0.0394	10	1mo ago
Bratley Sum D=2000	DeepPCE	Relative MSE4.012	10	2mo ago
Bratley Sum D=1000	DeepPCE	Relative MSE0.0016	10	2mo ago
f4		Relative L2 Error1.07	7	12d ago
f3 function		Relative L2 Error1.37	7	12d ago
f2 function		Rel. L2 Error0.0122	7	12d ago
f1 function		Relative L2 Error3.04	7	12d ago
Negative Entropy (test)		Tsolve (s)0	7	3mo ago
Negative Logarithm (Neg. Log) (test)		Solve Time (s)0	7	3mo ago
Besov space B^s_{q,r}([0, 1]^d)	Yarotsky and Zhevnerchuk	Approximation Error2	6	2d ago
Functions on low-dimensional manifolds	Gurevych et al.	Depth1	6	22d ago
KAN Paper Toy Functions 4D composite	KAN	Mean MSE1.38	6	2mo ago
KAN Paper Toy Functions 10D sum	Hybrid FI-KAN	Mean Squared Error (MSE)0.0004	6	2mo ago
KAN Paper Toy Functions (x · y)		Mean Squared Error (MSE)0	6	2mo ago
KAN Paper Toy Functions e^x sin(y) + y^2	KAN	Mean MSE0.0432	6	2mo ago

Showing 25 of 73 rows