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稳健的支持向量分类机的优化理论分析
  • ISSN号：1001-4098
  • 期刊名称：系统工程
  • 时间：0
  • 页码：123-130
  • 语言：中文
  • 分类：O221[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046, [2]中科院数学与系统科学研究院,北京100080, [3]中国农业大学理学院,北京100083
  • 相关基金：国家自然科学基金重点资助项目（10631070）;国家自然科学基金资助项目（70601033）
  • 相关项目：基于优化新技术的支持向量机的模型与算法研究
作者： 杨志霞|邓乃扬|
关键词： 带扰动的两分类问题, 稳健的支持向量分类机, 二阶锥规划, 2-class Classification with Perturbation, Robust Support Vector Classification , Second Order Cone Programming
中文摘要：

由于在实际中，我们已知的数据往往带有试验误差或者统计误差，因此对扰动数据的处理是一个重要的课题。文[2]对输入带球形扰动的两类分类问题提出了稳健的支持向量分类机的模型，本文主要对引入核后的稳健模型的优化理论做了系统深入的研究，内容包括原始问题的解的唯一性问题、对偶问题及其与原始问题的关系，从而完善了稳健的支持向量分类机的优化理论基础，为相应的算法提供了严密理论依据。

英文摘要：

In practice, the data have usually perturbations since they are subject to measurement or statistical errors, so dealing with the data with perturbations is currently an active research. The robust Support Vector Classification （SVC） was proposed for the training data with sphere perturbations of the 2-class classification in [2]. This paper studies the optimization theoretical foundations of the robust formulations, including： the existence and uniqueness of the primal problem and the relation between the solutions of primal problem and dual problem for robust SVC with Gaussian kernel. Therefore the optimization theoretical foundation has been set up and privdes the theoretical basis for establishing the algorithm.

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期刊信息
  • 《系统工程》
  • 中国科技核心期刊
  • 主管单位:湖南省社会科学院
  • 主办单位:湖南省系统工程与管理学会
  • 主编：陈收
  • 地址：长沙市浏河村巷37号省社科院内
  • 邮编：410003
  • 邮箱：xitonggongcheng@163.com
  • 电话：0731-4211215
  • 国际标准刊号：ISSN：1001-4098
  • 国内统一刊号：ISSN：43-1115/N
  • 邮发代号:42-67
  • 获奖情况:
  • 全国中文核心期刊,国家自然科学基金委员会管理科学重要期刊,中国科学引文数据库来源期刊
  • 国内外数据库收录:
  • 日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:27553