(mathematics, physics) A function which specifies the average density of atoms, molecules etc in three dimensions from a given point.

In mathematics a radial basis function is a real-valued function whose value depends only on the distance between the input and some fixed point, either the origin, so that , or some other fixed point , called a center, so that .

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

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

an advanced method in approximation theory for constructing high-order accurate interpolants of unstructured data, possibly in high-dimensional spaces.