高等学校化学学报

高等学校化学学报 ›› 2003, Vol. 24 ›› Issue (4): 595.

• 论文 • 上一篇    下一篇

一种基于免疫识别的主因子数判断方法

邵利民, 邵学广, 林祥钦   

  1. 中国科学技术大学化学系, 合肥 230026
  • 收稿日期:2001-12-12 出版日期:2003-04-24 发布日期:2003-04-24
  • 通讯作者: 邵学广(1963年出生),男,博士,教授,博士生导师,主要从事化学计量学算法及应用研究.E-mail:xshE-maiao@usE-maitc.edu.cn E-mail:xshE-maiao@usE-maitc.edu.cn
  • 基金资助:

    国家自然科学基金(批准号:29975027)

A Novel Method for Determining the Principal Factor Number Based on Immune Recognition

SHAO Li Min, SHAO Xue Guang, LIN Xiang Qin   

  1. Department of Chemistry, University of Science and Technology of China, Hefei 230026, China
  • Received:2001-12-12 Online:2003-04-24 Published:2003-04-24

PDF (PC)

被引次数

21

摘要： 根据免疫算法的基本思想,提出了一种基于免疫识别(IR)的主因子数判断方法.对模拟数据和HPLC-DAD数据的处理结果表明,IR比嵌入误差(IE)、因子指示函数(IND)和交叉验证(CV)更能有效地克服噪音的影响.当实际数据中的非线性和不等性方差噪音使其它方法失效时,IR仍能得到正确的主因子数.

关键词: 免疫算法, 因子分析, 主成分分析

Abstract: Based on the idea of the immune algorithm, an immune recognition(IR) method was proposed to obtain the principal factor number of a data matrix. The original matrix is input to the algorithm as antigens, a number of antibodies are generated by means of PCA, elimination of antigens is performed in a recurrence procedure. An equation for the calculation of the affinity value is defined. In each elimination, an affinity value is calculated. According to the series of the calculated affinity values, the principal factor number of the matrix can be obtained. By the tests of both simulated and experimental HPLC DAD data, the IR method showed the superiority over the imbedded error(IE), the factor indicator function(IND) and the cross validation(CV). In treating experimental HPLC DAD data, due to the interference of the nonlinearity and the heteroscedastic noise, only IR can obtain the correct factor number, none of IE, IND or CV succeeded.

Key words: Immune algorithm, Factor analysis, Principal component analysis

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