| 利用优化方法求解线性鉴别方程 |
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| 引用本文： | 邵黎,杨余旺.利用优化方法求解线性鉴别方程[J].南京理工大学学报(自然科学版),2005,29(6):745-747,750. |
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| 作者姓名： | 邵黎 杨余旺 |
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| 作者单位： | 南京理工大学,计算机科学与技术系,江苏,南京,210094 |
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| 摘 要： | 该文采用序列二次规划（SQP）方法求解Fisher鉴别准则模型。介绍了几种优化技术及算法后，分析序列二次规划（SQP）方法相对于线性鉴别准则模型一般求解方法的高效性优点，并结合MATLAB中的优化工具，应用二次规划方法求解Fisher鉴别准则模型，实现两类（人脸图像）问题的分类。该文研究和实现是对Fisher鉴别准则模型解法的新尝试和贡献。
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| 关 键 词： | 优化方法 模式识别 线性鉴别分析 |
| 文章编号： | 1005-9830（2005）06-0745-03 |
| 收稿时间： | 2004-10-29 |
| 修稿时间： | 2004-10-292005-10-18 |
Using Optimization Method to Solve Linear Discriminant Equations |
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| SHAO Li,YANG Yu-wang.Using Optimization Method to Solve Linear Discriminant Equations[J].Journal of Nanjing University of Science and Technology(Nature Science),2005,29(6):745-747,750. |
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| Authors: | SHAO Li YANG Yu-wang |
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| Institution: | Department of Computer Science and Technology, NUST, Nanjing 210094, China |
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| Abstract: | The sequential quadratic programming(SQP) method is adopted to solve the linear(Fisher) discriminant criterion model in the pattern recognition field.Several kinds of optimization techniques and algorithms are explained,and the high efficiency of SQP method compared to the ordinary solution methods for the linear discriminant criterion models is analyzed.With the help of the optimization toolbox in MATLAB,the SQP method is adopted to solve the Fisher discriminant equation for the two-class problems(human face image),which obtains satisfactory results.The research and implementation is a new attempt and contribution to the solution of Fisher discriminant model. |
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| Keywords: | optimization method pattern recognitlon linear discriminant analysis |
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