In mathematics a radial basis function (RBF) is a real-valued function φ {\textstyle \varphi } whose value depends only on the distance between the input...

Radial basis function (RBF) interpolation is an advanced method in approximation theory for constructing high-order accurate interpolants of unstructured...

theory, basis functions are also called blending functions, because of their use in interpolation: In this application, a mixture of the basis functions provides...

mathematical modeling, a radial basis function network is an artificial neural network that uses radial basis functions as activation functions. The output of the...

the loss from interpolation error and give better performance in calculation process. This table gives some values of an unknown function f ( x ) {\displaystyle...

tricubic interpolation) Kriging Inverse distance weighting Natural-neighbor interpolation Spline interpolation Radial basis function interpolation Barnes...

statistics Gaussian process Multivariate interpolation Nonparametric regression Radial basis function interpolation Space mapping Spatial dependence Variogram...

two-dimensional window function is shared by its two-dimensional Fourier transform. The difference between the separable and radial forms is akin to the...

(cSSIM) has been introduced and studied in the context of radial basis function interpolation. SSIMULACRA and SSIMULACRA2 are variants of SSIM developed...

S2CID 53715158. Approximation theory Fitness approximation Kriging Least squares (function approximation) Radial basis function network v t e v t e...

Ann. Stat. Gumerov, N. A. and Duraiswami, R. (2007). "Fast radial basis function interpolation via preconditioned Krylov iteration". SIAM J. Scient. Computing...

{\displaystyle \nu } is an integer limiting values should be taken, (see ). Radial basis function Genton, Marc G. (1 March 2002). "Classes of kernels for machine...

likely to be treated as K separate scalar-output basis functions). An example of this is radial basis functions (RBF's), which compute some transformed version...

radial basis functions. Given a set of control points { c i , i = 1 , 2 , … , K } {\displaystyle \{c_{i},i=1,2,\ldots ,K\}} , a radial basis function...

image processing. Radial basis function network: an artificial neural network that uses radial basis functions as activation functions Self-organizing map:...

interests deal mainly with interpolation and approximation of functions and data by polynomials and radial basis functions (RBFs)). Stefano De Marchi...

weighting Radial basis function (RBF) — a function of the form ƒ(x) = φ(|x−x0|) Polyharmonic spline — a commonly used radial basis function Thin plate...

tools for handling and solving small dense linear systems. Radial Basis Function interpolation and parametrization even with large set of nodes. Sorting...

generalized Bayesian approaches; gradient-enhanced kriging (GEK); radial basis function; support vector machines; space mapping; artificial neural networks...

potential to a more general function F. This function F reduces to the μ {\displaystyle \mu } -version of the interpolation function after varying the over...

polynomial basis-functions are used along with new basis functions, such as splines, radial basis functions, and wavelets. These families of basis functions offer...

{\displaystyle L^{p}(\mathbb {R} )} by Marcinkiewicz interpolation, which amounts to decomposing such functions into a fat tail part in L2 plus a fat body part...

random feature matrices of size O ( D N ) {\textstyle O(DN)} . The radial basis function (RBF) kernel on two samples x i , x j ∈ R d {\displaystyle x_{i}...

"tuning", so automatic interpolation is feasible. This is not the case for other radial basis functions. For example, the Gaussian function e − k ⋅ r 2 {\displaystyle...

modeling Artificial neural networks including Multilayer perceptrons Radial basis function networks Support vector machines Due to the limited number of training...

determines its interpolation error. There exist a number of mathematical theories concerning the family of multiquadric radial basis functions and providing...

graphics, hierarchical RBF is an interpolation method based on radial basis functions (RBFs). Hierarchical RBF interpolation has applications in treatment...

Smoothed point interpolation method (S-PIM) (2005). Meshfree local radial point interpolation method (RPIM). Local radial basis function collocation Method...

Proper generalized decomposition Matrix interpolation Transfer function interpolation Piecewise tangential interpolation Loewner framework (Empirical) cross...

decomposition could be made in terms of Sinc functions and Airy functions, as in the Whittaker–Shannon interpolation formula and the Nyquist–Shannon sampling...