In machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular...

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...

In functional analysis, a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional...

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

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

recognition. Fisher kernel Graph kernels Kernel smoother Polynomial kernel Radial basis function kernel (RBF) String kernels Neural tangent kernel Neural network...

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},x_{j}\in...

with kernel methods to cluster the patterns in the feature space. Bell-shaped function Cauchy distribution Normal distribution Radial basis function kernel...

test case from the neuron's center point and then applies the radial basis function kernel using the sigma values. For PNN there is one pattern neuron for...

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 − d k / 2 σ...

a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix. It was first introduced...

\|f\|_{\mathcal {H}}\leq 1} (as is the case for the widely used radial basis function kernels), then with probability at least 1 − δ {\displaystyle 1-\delta...

special class of activation functions known as radial basis functions (RBFs) are used in RBF networks. These activation functions can take many forms, but...

integration against a kernel K z ( ζ ) {\displaystyle K_{z}(\zeta )} , the Bergman kernel. This kernel is the analog of the delta function in this Hilbert space...

\{w_{i}\}} is a set of mapping coefficients. The TPS corresponds to the radial basis kernel φ ( r ) = r 2 log ⁡ r {\displaystyle \varphi (r)=r^{2}\log r} . Suppose...

railway marshalling yard in Germany Radial basis function in mathematics Radial basis function kernel or RBF kernel Random Block File, an OS-9 file manager...

Nyström method Support vector machine Radial basis function kernel Regularized least squares Andreas Müller (2012). Kernel Approximations for Efficient SVMs...

R (programming language) Rada Mihalcea Rademacher complexity Radial basis function kernel Rand index Random indexing Random projection Random subspace...

statistics, the Matérn covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning...

activation functions have been proposed, including the rectifier and softplus functions. More specialized activation functions include radial basis functions (used...

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

\theta ,\phi )=R(r)\,\,Y_{\ell }^{m}\!(\theta ,\phi )} where R are radial functions and Ym ℓ(θ, φ) are spherical harmonics of degree ℓ and order m. This...

sparse-kernel model identical in functional form to SVM Sequential minimal optimization Space mapping Winnow (algorithm) Radial basis function network...

radial basis function (RBF, also called a kernel function) is applied to the distance to compute the weight (influence) for each neuron. The radial basis...

space is an example of a reproducing kernel Hilbert space, which is a Hilbert space of functions along with a kernel K(ζ, z) that verifies a reproducing...

less from curse of dimensionality. Approximation based on Gaussian radial basis functions has been successfully applied to the coagulation equation in more...

activation functions have been proposed, including the rectifier and softplus functions. More specialized activation functions include radial basis functions (used...

"Incorporation of Nuclear Quantum effects in electronic structure," Radial basis function kernel, a gaussian algorithm used to support vector machines, is applied...

{\displaystyle K(x,x_{i})=\left({1+x_{i}^{T}x/c}\right)^{d},} Radial basis function RBF kernel : K ( x , x i ) = exp ⁡ ( − ‖ x − x i ‖ 2 / σ 2 ) , {\displaystyle...

shown in 2020 to work even for high degree polynomials and radial basis function kernels. Assume we have two large datasets, represented as matrices...