[1]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,(06):745-747.
 SHAO Li,YANG Yu-wang.Using Optimization Method to Solve Linear Discriminant Equations[J].Journal of Nanjing University of Science and Technology,2005,(06):745-747.
点击复制

利用优化方法求解线性鉴别方程
分享到:

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2005年06期
页码:
745-747
栏目:
出版日期:
2005-12-30

文章信息/Info

Title:
Using Optimization Method to Solve Linear Discriminant Equations
作者:
邵黎;杨余旺;
南京理工大学计算机科学与技术系, 江苏南京210094
Author(s):
SHAO LiYANG Yu-wang
Department of Computer Science and Technology,NUST,Nanjing 210094,China
关键词:
优化方法 模式识别 线性鉴别分析
Keywords:
optimization method pattern recognition linear discriminant analysis
分类号:
TP391.41
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。
Abstract:
The sequential quadrat ic programming ( SQP) method is adopted to solve the linear ( Fisher) discrim-i nant 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 solut ion of Fisher discriminant model.

参考文献/References:

[ 1] 孙即祥. 现代模式识别[M] . 长沙: 国防科技大学出版社, 2001.
[ 2] Liu Ke, Jiang Ren, Cheng Yongqing, et al. Color Human Face Image Recognition Based On StatisticalModel[ A] . Neural and Stochastic Methods in Image and Signal Processing [ A ] . SPIE, 1992, 1776: 702- 707.
[ 3] 金忠, 杨静宇, 陆建峰. 一种具有统计不相关的最佳鉴别矢量集[ J] . 计算机学报, 1999, 22( 10) : 1 105- 1 108.
[ 4] 解可新, 韩立兴. 最优化方法[M] . 天津: 天津大学出版社, 1997.
[ 5] 葛哲学. MATLAB 6. 5 辅助优化计算与设计[M] . 北京: 电子工业出版社, 2003.

相似文献/References:

[1]邓敏,韩玉启.基于数据推理和模式识别的财务困境预警模型[J].南京理工大学学报(自然科学版),2009,(06):833.
 DENG Min,HAN Yu-qi.Pre-warning Model of Financial Distress Based on Calculus Derivation and Pattern Recognition[J].Journal of Nanjing University of Science and Technology,2009,(06):833.
[2]束婷婷,甘岚,杨静宇.求解统计不相关的最佳鉴别矢量的统一算法[J].南京理工大学学报(自然科学版),2002,(03):290.
 ShuTingting GanLan YangJingyu.A Unified Algorithm for the Computation of Statistically Uncorrelated Optimal Discriminant Vectors[J].Journal of Nanjing University of Science and Technology,2002,(06):290.
[3]孙怀江,杨静宇.λ-模糊测度辨识方法研究[J].南京理工大学学报(自然科学版),2001,(01):44.
 SunHuaijiang YangJingyu.A Study on Identification Methods of λ-Fuzzy Measures[J].Journal of Nanjing University of Science and Technology,2001,(06):44.
[4]谭东宁,谭东汉.小样本机器学习理论:统计学习理论[J].南京理工大学学报(自然科学版),2001,(01):108.
 TanDongnin TanDonghan.Small-sample Machine Learning Theory: Statistical Learning Theory[J].Journal of Nanjing University of Science and Technology,2001,(06):108.
[5]聂伟荣,朱继南,赵玉霞.基于改进BP网络的地震动信号目标识别[J].南京理工大学学报(自然科学版),2000,(01):20.
 NieWeirong ZhuJinan ZhaoYuxia.Microseismic Signal Targets Identification Based on Improved BP Neural Networks[J].Journal of Nanjing University of Science and Technology,2000,(06):20.
[6]李宏东,李宏升,顾伟康.应用专门知识引导的联机自然手写汉字识别[J].南京理工大学学报(自然科学版),2000,(02):147.
 LiHongdong LiHongsheng GuWeikang.A Knowledge Based Algorithm for Online Cursive Chinese Character Recognition[J].Journal of Nanjing University of Science and Technology,2000,(06):147.
[7]李士进,杨静宇,金忠.基于离散隐马尔可夫模型和奇异值特征的人脸检测[J].南京理工大学学报(自然科学版),2000,(05):385.
 LiShijin YangJingyu JinZhong.Face Detection Based on Discrete Hidden Markov Models and Singular Value Feature[J].Journal of Nanjing University of Science and Technology,2000,(06):385.
[8]夏德深,金盛,王健.基于分数维与灰度梯度共生矩阵的气象云图识别(Ⅰ)——分数维对纹理复杂度和粗糙度的描述[J].南京理工大学学报(自然科学版),1999,(03):90.
 XiaDeshen JinSheng WangJian.Fractal Dimension and GGCM Based Meteorology Cloud Pictures Recognition Description of Texture Complexity and Roughness by Fractal Dimension (Ⅰ)[J].Journal of Nanjing University of Science and Technology,1999,(06):90.
[9]夏德深,金盛,王健.基于分数维与灰度梯度共生矩阵的气象云图识别(Ⅱ)——灰度梯度共生矩阵对纹理统计特征的描述[J].南京理工大学学报(自然科学版),1999,(04):289.
 XiaDeshen JinSheng WangJian.Fractal Dimension and GGCM Meteorology Cloud Pictures Recognition[J].Journal of Nanjing University of Science and Technology,1999,(06):289.
[10]黄修武,郭跃飞,杨静宇.基于代数方法的图像特征抽取和识别[J].南京理工大学学报(自然科学版),1998,(01):5.
 Huang Xiuwu Guo Yuefei Yang Jingyu.Image Feature Extraction and Recognition Based on Algebraic Method[J].Journal of Nanjing University of Science and Technology,1998,(06):5.

备注/Memo

备注/Memo:
国家留学回国人员基金
作者简介: 邵黎( 1960- ) , 女, 副教授, 主要研究方向: 计算机应用, E-mail: lishao608@126. com。
更新日期/Last Update: 2013-03-03