一种新的径向基函数网络数据分类学习算法

Yen-Jen Oyang, Shien-Ching Hwang, Yu-Yen Ou, Chien-Yu Chen, Zhi-Wei Chen
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引用次数: 11

摘要

提出了一种基于径向基函数(RBF)网络构建数据分类器的学习算法。使用所提出的学习算法构建的RBF网络通常能够提供与支持向量机(SVM)相同水平的分类精度。与支持向量机相比,所提出的学习算法的一个重要优点是,所提出的学习算法通常需要更少的时间来计算交叉验证的最优参数值。与支持向量机的比较很有趣,因为最近的一些研究表明,支持向量机通常能够提供比其他现有数据分类算法更高的准确性。该学习算法通过构造一个RBF网络来近似训练数据集中每一类目标的概率密度函数。所提出的学习算法的主要区别在于如何利用训练样本的局部分布来确定基函数的最优参数值。由于所提出的学习算法是基于实例的,因此本文还解决了数据约简问题。一个有趣的观察是,对于数据约简实验中使用的所有三个数据集,应用朴素数据约简机制后剩余的训练样本数量与SVM软件识别的支持向量数量非常接近。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A novel learning algorithm for data classification with radial basis function networks
This paper proposes a novel learning algorithm for constructing data classifiers with radial basis function (RBF) networks. The RBF networks constructed with the proposed learning algorithm generally are able to deliver the same level of classification accuracy as the support vector machines (SVM). One important advantage of the proposed learning algorithm, in comparison with the support vector machines, is that the proposed learning algorithm normally takes far less time to figure out optimal parameter values with cross validation. A comparison with the SVM is of interest, because it has been shown in a number of recent studies that the SVM generally is able to deliver higher level of accuracy than the other existing data classification algorithms. The proposed learning algorithm works by constructing one RBF network to approximate the probability density function of each class of objects in the training data set. The main distinction of the proposed learning algorithm is how it exploits local distributions of the training samples in determining the optimal parameter values of the basis functions. As the proposed learning algorithm is instance-based, the data reduction issue is also addressed in this paper. One interesting observation is that, for all three data sets used in data reduction experiments, the number of training samples remaining after a naive data reduction mechanism is applied is quite close to the number of support vectors identified by the SVM software.
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