计算机科学 ›› 2013, Vol. 40 ›› Issue (12): 52-54.

• 综述 • 上一篇    下一篇

结构化加权最小二乘支持向量机

鲁淑霞,田如娜   

  1. 河北大学数学与计算机学院 保定071002;河北大学数学与计算机学院 保定071002
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家自然科学基金(61170040),河北省自然科学基金(F2011201063)资助

Structural Weighted Least Squares Support Vector Machine Classifier

LU Shu-xia and TIAN Ru-na   

  • Online:2018-11-16 Published:2018-11-16

摘要: 针对最小二乘支持向量机(LSSVM)没有考虑样例本身的结构信息和对异常点敏感,提出了一种新的分类器——结构化加权最小二乘支持向量机(SWLSSVM),SWLSSVM通过在目标函数中引入协方差矩阵考虑了样例的结构信息;为了减少异常点的影响,其根据本类样本点到该类中心的距离对误差项进行加权。实验表明,SWLSSVM与LSSVM和SVM相比具有更好的分类和泛化性能。

关键词: 最小二乘支持向量机,结构化,权,协方差矩阵

Abstract: The structure information in data has not been exploited in the Least Squares Support Vector Machine Classifier(LSSVM ) and the LSSVM is sensitive to the outliers.Focused on the above issues of the LSSVM, this paper proposed a new classifier---structural weighted least squares support vector machine (SWLSSVM).The structure information is considered by incorporating the covariance matrix into the objective function,and in order to reduce sensitive to the outliers,according to difference of the distances from different types of samples to the center of the sample,the different weights are assigned to the different training samples in the error term of objective function.The experimental results show that the SWLSSVM is more superior to the LSSVM and the SVM in classification and generalization performances.

Key words: Least squares support vector machine,Structure,Weight,Covariance matrix

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