| 来源类型 | Monograph (IIASA Research Report (Reprint))
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| 规范类型 | 报告
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| Second Order Mathematical Formulations Programming for Discriminant Analysis. |
| Duarte Silva AP; Stam A
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| 发表日期 | 1994
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| 出版者 | IIASA, Laxenburg, Austria: RR-95-007.
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| 出版年 | 1994
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| 语种 | 英语
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| 摘要 | This paper introduces a nonparametric formulation-based mathematical programming (MP) for solving the classification problem in discriminant analysis. This method 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. By including second order (i.e., quadratic and cross-product) terms of the attribute variables, 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 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)
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| URL | http://pure.iiasa.ac.at/id/eprint/4068/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/124190
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推荐引用方式
GB/T 7714 |
Duarte Silva AP,Stam A. Second Order Mathematical Formulations Programming for Discriminant Analysis.. 1994.
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文件名：
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RR-95-07.pdf
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格式：
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Adobe PDF
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