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.
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.
出处
《运筹学学报》
CSCD
北大核心
2007年第3期105-112,共8页
Operations Research Transactions
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
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