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Everything about Radial basis function

Type of mathematical function

In mathematics a radial basis function (RBF) 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. Any function that satisfies the property is a radial function. The distance is usually Euclidean distance, although other metrics are sometimes used. They are often used as a collection which forms a basis for some function space of interest, hence the name. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Radial basis functionA 5-minute orientation
  2. Skim a recent paper: Time-series forecasting using manifold learning, radial basis function interpolation, and geometric harmonicsInfluential work since 2022
  3. Pick up a classic book: Computer and Computing Technologies in Agriculture VIThe most-reprinted book on the subject
  4. Read the landmark paper: Mesh deformation based on radial basis function interpolationCited 728 times
  5. Go sideways: Polyharmonic splineA closely related topic
  6. Go sideways: Kansa methodA closely related topic

đź“– Definitions

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🗂️ The subject at a glance

  1. Definition
  2. Approximation
  3. RBF Network
  4. RBFs for PDEs

🏆 Landmark papers (most cited)

🆕 Influential since 2022

đź“š Books worth reading

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