• 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...
    19 KB (1,831 words) - 16:39, 3 August 2025
  • mathematical modeling, a radial basis function network is an artificial neural network that uses radial basis functions as activation functions. The output of the...
    30 KB (4,849 words) - 16:40, 3 August 2025
  • In machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In...
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  • Radial basis function (RBF) interpolation is an advanced method in approximation theory for constructing high-order accurate interpolants of unstructured...
    9 KB (1,390 words) - 08:17, 19 June 2025
  • In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as...
    3 KB (336 words) - 02:35, 22 July 2022
  • In mathematics, a radial function is a real-valued function defined on a Euclidean space ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠ whose value at each...
    4 KB (451 words) - 19:20, 20 September 2024
  • 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...
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  • feedforward networks. Radial basis functions are functions that have a distance criterion with respect to a center. Radial basis functions have been applied...
    90 KB (10,769 words) - 14:27, 19 July 2025
  • Thumbnail for Reproducing kernel Hilbert space
    space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space H {\displaystyle H} of functions from a set...
    33 KB (6,325 words) - 05:39, 15 June 2025
  • Thumbnail for Activation function
    special class of activation functions known as radial basis functions (RBFs) are used in RBF networks. These activation functions can take many forms, but...
    25 KB (1,963 words) - 00:07, 21 July 2025
  • 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}...
    11 KB (1,705 words) - 05:20, 19 May 2025
  • Thumbnail for Function approximation
    S2CID 53715158. Approximation theory Fitness approximation Kriging Least squares (function approximation) Radial basis function network v t e v t e...
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  • mainly with interpolation and approximation of functions and data by polynomials and radial basis functions (RBFs)). Stefano De Marchi studied Bachelor's...
    6 KB (576 words) - 02:57, 3 July 2025
  • patterns in the feature space. Bell-shaped function Cauchy distribution Normal distribution Radial basis function kernel Squires, G. L. (2001-08-30). Practical...
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  • {\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...
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  • basis Hilbert's basis theorem Generating set of a group Base (topology) Change of basis Greedoid Normal basis Polynomial basis Radial basis function Standard...
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  • distance weighting Natural-neighbor interpolation Spline interpolation Radial basis function interpolation Barnes interpolation Bilinear interpolation Bicubic...
    6 KB (758 words) - 21:22, 6 June 2025
  • distance through a Gaussian RBF, obtains the hidden layer of a radial basis function network. This use of k-means has been successfully combined with...
    62 KB (7,772 words) - 16:49, 3 August 2025
  • Thumbnail for Feedforward neural network
    activation functions have been proposed, including the rectifier and softplus functions. More specialized activation functions include radial basis functions (used...
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  • Thumbnail for Mark Gasson
    (2010). "Prediction of Parkinson's disease tremor onset using radial basis function neural networks". Expert Systems with Applications. 37 (4): 2923...
    18 KB (1,966 words) - 07:56, 12 July 2025
  • {\displaystyle k} K ( x , x k ) {\displaystyle K(x,x_{k})} is the Radial basis function kernel (Gaussian kernel) as formulated below. K ( x , x k ) = e...
    3 KB (461 words) - 06:00, 24 April 2025
  • _{j})=(\mathbf {x} _{i}\cdot \mathbf {x} _{j}+r)^{d}} . Gaussian radial basis function: k ( x i , x j ) = exp ⁡ ( − γ ‖ x i − x j ‖ 2 ) {\displaystyle...
    65 KB (9,071 words) - 17:00, 3 August 2025
  • Thumbnail for Interpolation
    (statistics) Lagrange interpolation Missing data Newton–Cotes formulas Radial basis function interpolation Simple rational approximation Smoothing Sheppard,...
    23 KB (3,039 words) - 00:32, 18 July 2025
  • A polyharmonic spline is a linear combination of polyharmonic radial basis functions (RBFs) denoted by φ {\displaystyle \varphi } plus a polynomial term:...
    31 KB (5,802 words) - 02:43, 5 June 2025
  • Thumbnail for Origin (mathematics)
    Pointed space, a topological space with a distinguished point Radial basis function, a function depending only on the distance from the origin Madsen, David...
    3 KB (388 words) - 14:10, 7 April 2025
  • Park, J.; Sandberg, I. W. (1991). "Universal Approximation Using Radial-Basis-Function Networks". Neural Computation. 3 (2): 246–257. doi:10.1162/neco...
    39 KB (5,230 words) - 15:20, 27 July 2025
  • Rangierbahnhof, a railway marshalling yard in Germany Radial basis function in mathematics Radial basis function kernel or RBF kernel Random Block File, an OS-9...
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  • Thumbnail for Hierarchy
    modeling Hierarchical modulation Hierarchical proportion Hierarchical radial basis function Hierarchical storage management Hierarchical task network Hierarchical...
    61 KB (5,921 words) - 01:31, 4 August 2025
  • Hybrid Forward Algorithm (HFA) can be used for the construction of radial basis function (RBF) neural networks with tunable nodes. The RBF neural network...
    15 KB (2,845 words) - 14:43, 24 May 2025
  • Thumbnail for Neural network (machine learning)
    visual recognition problems, which became known as "deep learning". Radial basis function and wavelet networks were introduced in 2013. These can be shown...
    168 KB (17,613 words) - 12:10, 26 July 2025