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剔除支持向量回归中异常数据算法

曾绍华 魏延 唐远炎

重庆大学学报:自然科学版2012,Vol.35Issue(12):120-132,13.
重庆大学学报:自然科学版2012,Vol.35Issue(12):120-132,13.

剔除支持向量回归中异常数据算法

Algorithm of removing outliers in SVR

曾绍华 1魏延 2唐远炎3

作者信息

  • 1. 重庆大学计算机学院,重庆400044 重庆师范大学模式分析与信息处理研究所,重庆401331
  • 2. 重庆师范大学模式分析与信息处理研究所,重庆401331
  • 3. 重庆大学计算机学院,重庆400044
  • 折叠

摘要

Abstract

The outlier and the measurement that an outlier does not fit the theoretical model in the regression problems are defined.The relationship between the theoretical model and the regression model in the regression problem is analyzed.An approximate theorem is proposed and verified by deleting outlier one by one to construct SVR to approximate the theoretical model.An algorithm of detecting outliers in the SVR problems is constructed based on the approximate theorem.The theoretical analysis of the convergence and effectiveness of the proposed algorithm is given.Then,the step-by-step search algorithm is introduced to improve the outlier removing algorithm to remove outliers in SVR with large-scale samples.The theoretical analysis shows that the improved algorithm is convergent and effective.Finally,the samples produced by two test functions and the samples in UCI data set are used for simulation,and the results show that the proposed algorithm is effective and robust.

关键词

支持向量回归/异常数据/剔除异常数据算法/仿真

Key words

SVR(support vector regression)/algorithm/algorithm of detecting outliers/simulation

分类

信息技术与安全科学

引用本文复制引用

曾绍华,魏延,唐远炎..剔除支持向量回归中异常数据算法[J].重庆大学学报:自然科学版,2012,35(12):120-132,13.

基金项目

重庆市教委科学技术研究项目 ()

重庆市自然科学基金资助项目 ()

重庆大学学报:自然科学版

OA北大核心CSCDCSTPCD

1000-582X

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