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 $\varepsilon -$ 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.

中文翻译：

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KBER：使用 Ricci 曲率的内核带宽估计

摘要

带宽的选择会极大地影响依赖它的分类方法的准确性。最近，已经开发出大量选择带宽的方法。本文介绍了一种称为 KBER 的简单方法，该方法使用平均 Ricci 曲率来估计带宽$\epsilon -$图。在我们的工作中选择了径向基函数核 (RBF)，因为它的简单性和在此类研究中的流行；也可以将我们的方法应用于具有相同类型参数的任何内核。