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KBER: A kernel bandwidth estimate using the Ricci curvature

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  • Abdelrahman Eid
  • Nicolas Wicker

Abstract

The choice of a bandwidth can affect dramatically the accuracy of classification methods relying on it. Recently, a large number of methods to choose the bandwidth have been developed. This article presents a simple method called KBER to estimate the bandwidth using the average Ricci curvature of ɛ− graphs. The Radial Basis Function kernel (RBF) has been chosen in our work for its simplicity and its popularity in this kind of research; it is also possible to apply our method to any kernel with the same kind of parameter.

Suggested Citation

  • Abdelrahman Eid & Nicolas Wicker, 2023. "KBER: A kernel bandwidth estimate using the Ricci curvature," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(2), pages 398-408, January.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:2:p:398-408
    DOI: 10.1080/03610926.2021.1914099
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