Radial basis functions are used to approximate functions and so can be used to discretize and numerically solve Partial Differential Equations (PDEs). This was first done in 1990 by E. J. Kansa …

Jul 12, 2025 · The Radial Basis Function (RBF) kernel, also known as the Gaussian kernel, is one of the most widely used kernel functions. It operates by measuring the similarity between data points based …

Dec 17, 2024 · A Radial Basis Function (RBF) is a type of mathematical function whose value depends only on the distance from a central point. In Machine Learning, RBFs are commonly used to model …

RBFs have their origins in techniques for performing exact function interpolation [Bishop, 1995] These techniques place a basis function at each training example

Jan 23, 2023 · The radial basis function is a mathematical function that takes a real-valued input and outputs a real-valued output based on the distance between the input value projected in space from …

Definition: A radial function is any function of the form φ(x) = so that φ acts on a vector in IRn, but only through the norm so that φ : [0, φ( x ), ∞) → IR. It is possible to then take some set of radial functions …

In a neural network, the hidden units form a set of “functions” that compose a random “basis” for the input patterns (vectors). These functions are called radial basis functions[5]. Radial basis functions …