Table 3 Approaches of finding best shape parameter
From: A review of radial basis function with applications explored
Approaches | Author | Shape parameter value |
|---|---|---|
Trial and error | Rolland L. Hardy [15] | \(0.815{\text{d}};{\text{ d}} = \frac{1}{{\text{N}}}\mathop \sum \limits_{{{\text{k}} = 1}}^{{\text{N}}} {\text{d}}_{{\text{i}}}\) \({\text{d}}_{{\text{i}}}\) is the distance between point and neighbourhood |
Richard Franke [16] | \(\frac{1.25 D}{{\sqrt N }}\); D is the diameter of minimal circle | |
G. E. Fasshauer (2002)Â [64] | \(\frac{2}{\sqrt N }\) | |
The power function | Neyman and Pearson [65] | – |
Leave-one-out cross-validation (LOOCV) | Rippa S. [58] | – |