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Radial basis function

Known as: Basis, RBF, Radial basis functions 
A radial basis function (RBF) is a real-valued function whose value depends only on the distance from the origin, so that ; or alternatively on the… Expand
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Related topics

Related topics

32 relations
Activation functionArtificial neural networkBasis functionBoundary element method
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Broader (2)

InterpolationNumerical analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Radial Basis Functions - Theory and Implementations
  • M. Buhmann
  • Cambridge monographs on applied and computational…
  • 2009
    • Corpus ID: 122445786
Preface 1. Introduction 2. Summary of methods and applications 3. General methods for approximation and interpolation 4. Radial… Expand
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Highly Cited
2003
Highly Cited
2003
Radial Basis Functions
From the Publisher: "In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal… Expand
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Highly Cited
2002
Highly Cited
2002
A point interpolation meshless method based on radial basis functions
A point interpolation meshless method is proposed based on combining radial and polynomial basis functions. Involvement of radial… Expand
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Highly Cited
2001
Highly Cited
2001
Reconstruction and representation of 3D objects with radial basis functions
We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair… Expand
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Highly Cited
2001
Highly Cited
2001
A Radial Basis Function Method for Global Optimization
AbstractWe introduce a method that aims to find the global minimum of a continuous nonconvex function on a compact subset of… Expand
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Highly Cited
1999
Highly Cited
1999
An algorithm for selecting a good value for the parameter c in radial basis function interpolation
  • S. Rippa
  • Adv. Comput. Math.
  • 1999
    • Corpus ID: 3330803
The accuracy of many schemes for interpolating scattered data with radial basis functions depends on a shape parameter c of the… Expand
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Highly Cited
1996
Highly Cited
1996
Introduction to radial basis function networks
This document is an introduction to radial basis function RBF networks a type of arti cial neural network for application to… Expand
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Highly Cited
1995
Highly Cited
1995
Error estimates and condition numbers for radial basis function interpolation
For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable… Expand
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Highly Cited
1993
Highly Cited
1993
Approximation and Radial-Basis-Function Networks
This paper concerns conditions for the approximation of functions in certain general spaces using radial-basis-function networks… Expand
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Highly Cited
1988
Highly Cited
1988
Radial Basis Functions, Multi-Variable Functional Interpolation and Adaptive Networks
Abstract : The relationship between 'learning' in adaptive layered networks and the fitting of data with high dimensional… Expand
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