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基于一类SVM的贝叶斯分类算法
引用本文:闭乐鹏,徐伟,宋瀚涛.基于一类SVM的贝叶斯分类算法[J].北京理工大学学报,2006,26(2):143-146.
作者姓名:闭乐鹏  徐伟  宋瀚涛
作者单位:北京理工大学,计算机科学技术学院,北京,100081
基金项目:国家重点基础研究发展计划(973计划)
摘    要:提出一种基于一类支持向量机(one-class SVM)的贝叶斯分类算法,该算法用一类SVM对类条件概率密度进行估计以构造贝叶斯分类器. 证明采用高斯核的一类SVM,其解可以归一化为密度函数,并把该密度函数看作类条件概率密度的平滑估计,构造贝叶斯分类器. 实际数据集上的实验结果表明,提出的分类算法测试准确率高于简单贝叶斯分类器与贝叶斯网络分类器,不低于传统二类SVM;比传统二类SVM需要计算的核矩阵规模更小,训练时间更短.

关 键 词:贝叶斯分类  支持向量机  概率密度估计  简单贝叶斯  分类算法  Classification  Algorithm  训练时间  规模  核矩阵  计算  网络分类器  准确率  算法测试  结果  实验  数据集  平滑估计  密度函数  归一化  高斯核  构造  条件概率密度  一类支持向量机
文章编号:1001-0645(2006)02-0143-04
收稿时间:07 1 2005 12:00AM
修稿时间:2005年7月1日

A Bayesian Classification Algorithm Based-on One-Class SVM
BI Le-peng,XU Wei and SONG Han-tao.A Bayesian Classification Algorithm Based-on One-Class SVM[J].Journal of Beijing Institute of Technology(Natural Science Edition),2006,26(2):143-146.
Authors:BI Le-peng  XU Wei and SONG Han-tao
Institution:Sehool of Computer Seienee and Teehnology, Beijing Institute of Teehnology, Beijing 100081, China
Abstract:A Bayesian classification algorithm based on one-class SVM is presented.It constructs the Bayesian classifier using the classes' conditional density estimated by one-class SVM.It is proven that the solution of one-class SVM using the Gaussian kernel can be normalized as an estimate of probability density,and can be used to obtain the Bayesian classifier.Experimental results showed that the proposed classifier outperformed NaiveBayes and BayesNet in terms of prediction accuracy,comparable to traditional two-class SVM.The size of kernel matrix of the new algorithm is less than that of the traditional two-class SVM,which lead to less training time for the new classifier.
Keywords:Bayesian classification  support vector machine  probability density estimate
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