| 线性支持向量顺序回归机的原始问题的解集分析 |
| |
| 引用本文： | 杨志霞,邓乃扬.线性支持向量顺序回归机的原始问题的解集分析[J].运筹学学报,2007,11(3):105-112. |
| |
| 作者姓名： | 杨志霞 邓乃扬 |
| |
| 作者单位： | 1. 中国农业大学理学院,北京,100083;新疆大学数学与系统科学学院,乌鲁木齐,830046;中科院数学与系统科学研究院,北京,100080
2. 中国农业大学理学院,北京,100083 |
| |
| 基金项目： | 国家自然科学基金;国家自然科学基金 |
| |
| 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.
|
| 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 |
| 修稿时间： | 2006-10-23 |
The Analysis to the Solution Set of the Primal Problem in Linear Support Vector Ordinal Regression |
| |
| Yang Zhixia,Deng Naiyang.The Analysis to the Solution Set of the Primal Problem in Linear Support Vector Ordinal Regression[J].OR Transactions,2007,11(3):105-112. |
| |
| Authors: | Yang Zhixia Deng Naiyang |
| |
| Institution: | 1. College of Science, China Agricultural University, Beijing 100083; 2.College of Mathmatics and System Sciences, Xinjiang University, Urumqi 830046, China;3.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Operations research nonlinear optimization ordinal regression linear support vector ordinal regression machines |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
