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...

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

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

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

square-integrable functions cannot be represented as finite linear combinations of these basis functions, which therefore do not comprise a Hamel basis. Every Hamel...

computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartree–Fock...

"square-shaped" functions which together form a wavelet family or basis. Wavelet analysis is similar to Fourier analysis in that it allows a target function over...

cost of an asset Basis function Basis (linear algebra) Dual basis Orthonormal basis Schauder basis Basis (universal algebra) Basis of a matroid Generating...

the basis function of degree one is a triangle function. It rises from zero to one, then falls to zero again. While it rises, the basis function of the...

Raviart–Thomas basis functions are vector basis functions used in finite element and boundary element methods. They are regularly used as basis functions when working...

In machine learning, a Hyper basis function network, or HyperBF network, is a generalization of radial basis function (RBF) networks concept, where the...

or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of...

multivariate function whose variables are the coordinates on some basis of the vector on which the function is applied. When the basis is changed, the...

automatic basis function construction (or basis discovery) is the mathematical method of looking for a set of task-independent basis functions that map...

a basis wave function. If spin is taken into account, there are two basis functions for each triple. The function space thus has a countable basis. The...

chooses basis functions. We used piecewise linear basis functions in our discussion, but it is common to use piecewise polynomial basis functions. Separate...

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...

combination of pre-defined basis functions; generally, the coefficients of these basis functions are the sought unknowns. Green's functions and Galerkin method...

empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from...

with the i-th current basis function (i.e., dotting from the left and integrating over the domain of the i-th current basis function, thereby completing...

the function space has an orthonormal basis given by the set of functions {u1(t), u2(t), …, un(t)}, where n may be infinite. For the orthonormal basis, ⟨...

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 defines...

same linear span as an orthonormal basis may not be a basis at all. For instance, any square-integrable function on the interval [ − 1 , 1 ] {\displaystyle...

(statistics) Lagrange interpolation Missing data Newton–Cotes formulas Radial basis function interpolation Simple rational approximation Smoothing Sheppard, William...

Parts-per notation Per-unit system Percent point function Tick size "Beep". Investopedia. Chad Langager. "Basis Point (BPS) Definition & How It's Used". Investopedia...

of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are...

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

functions are orthogonal over the sphere in the continuous case. Thus they can also be thought of as a generalized Fourier series in which the basis functions...

function ψ ∈ L 2 ( R ) {\displaystyle \psi \,\in \,L^{2}(\mathbb {R} )} is called an orthonormal wavelet if it can be used to define a Hilbert basis,...