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线性支持向量顺序回归机的原始问题的解集分析
  • ISSN号：1007-6093
  • 期刊名称：运筹学学报
  • 时间：0
  • 页码：375-378
  • 语言：中文
  • 分类：O221.1[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]中国农业大学理学院,北京100083, [2]新疆大学数学与系统科学学院,乌鲁木齐830046, [3]中科院数学与系统科学研究院,北京100080
  • 相关基金：本文由国家自然科学基金重点项目（No.10631070）,国家自然科学基金（No.70601033）资助.
  • 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： 邓乃扬|杨志霞|
关键词： 运筹学, 非线性最优化, 顺序回归, 线性支持向量顺序回归机, Operations research, nonlinear optimization, ordinal regression, linear support vector ordinal regression machines
中文摘要：

本文主要对线性支持向量顺序回归机进行理论研究．对其相应原始问题解的存在性唯一性问题进行细致的分析，指明其解集的确切结构，并给出由对偶问题的解求出原始问题的解集的具体步骤．从而为建立理论上完备的线性支持向量顺序回归机提供了依据．

英文摘要：

For linear support vector ordinal regression machines, some theoretical aspects are studied in this paper. By examining the existence and uniqueness of the primal problem, the structure of its solution set is shown. Furthermore, the detail to obtain the solution set via the solution of its dual problem is given. Thus, we provide a theoretical foundation for establishing complete linear support vector ordinal regression machines.

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期刊信息
  • 《运筹学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国运筹学会
  • 主编：胡旭东
  • 地址：上海市上大路99号上海大学期刊社
  • 邮编：200444
  • 邮箱：ort@mail.shu.edu.cn
  • 电话：021-66137605
  • 国际标准刊号：ISSN：1007-6093
  • 国内统一刊号：ISSN：31-1732/O1
  • 邮发代号:4-777
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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（2011版）,中国北大核心期刊（2014版）
  • 被引量:1362