| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1016/0377-2217(94)90324-7 |
| Second order mathematical formulations programming for discriminant analysis. | |
| Duarte Silva AP; Stam A | |
| 发表日期 | 1994 |
| 出处 | European Journal of Operational Research 72 (1): 4-22 |
| 出版年 | 1994 |
| 语种 | 英语 |
| 摘要 | This paper introduces a nonparametric formulation based on mathematical programming (MP) for solving the classification problem in discriminant analysis, which differs from previously proposed MP-based models in that, even though the final discriminant function is linear in terms of the parameters to be estimated, the formulation is quadratic in terms of the predictor (attribute) variables. Including second order (i.e., quadratic and cross-product) terms of the attribute variables in the model is similar in concept to the usual treatment of multiple predictor variables in statistical methods such as Fisher's linear discriminant analysis, and allows an analysis of how including nonlinear terms and interaction effects affect the predictive ability of the estimated classification function. Using simulation experiments involving data conditions for which nonlinear classifiers are appropriate, the classificatory performance of this class of second order MP models is compared with that of existing statistical (linear and quadratic) and first order MP-based formulations. The results of these experiments show that the proposed formulation appears to be a very attractive alternative to previously introduced linear and quadratic statistical and linear MP-based classification methods. |
| 主题 | Methodology of Decision Analysis (MDA) |
| 关键词 | Linear programming Nonparametric statistics Linear statistical models Discriminant analysis |
| URL | http://pure.iiasa.ac.at/id/eprint/3893/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127282 |
| 推荐引用方式 GB/T 7714 | Duarte Silva AP,Stam A. Second order mathematical formulations programming for discriminant analysis.. 1994. |
| 条目包含的文件 | 条目无相关文件。 | |||||
| 个性服务 |
| 推荐该条目 |
| 保存到收藏夹 |
| 导出为Endnote文件 |
| 谷歌学术 |
| 谷歌学术中相似的文章 |
| [Duarte Silva AP]的文章 |
| [Stam A]的文章 |
| 百度学术 |
| 百度学术中相似的文章 |
| [Duarte Silva AP]的文章 |
| [Stam A]的文章 |
| 必应学术 |
| 必应学术中相似的文章 |
| [Duarte Silva AP]的文章 |
| [Stam A]的文章 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
