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一种基于免疫识别的主因子数判断方法
引用本文:邵利民,邵学广,林祥钦.一种基于免疫识别的主因子数判断方法[J].高等学校化学学报,2003,24(4):595-598.
作者姓名:邵利民  邵学广  林祥钦
作者单位:中国科学技术大学化学系, 合肥 230026
基金项目:国家自然科学基金 (批准号 :2 9975 0 2 7)
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  
文章编号:0251-0790(2003)04-0595-04
收稿时间:2001-12-12

A Novel Method for Determining the Principal Factor Number Based on Immune Recognition
SHAO Li Min,SHAO Xue Guang ,LIN Xiang Qin.A Novel Method for Determining the Principal Factor Number Based on Immune Recognition[J].Chemical Research In Chinese Universities,2003,24(4):595-598.
Authors:SHAO Li Min  SHAO Xue Guang  LIN Xiang Qin
Institution:Department of Chemistry, University of Science and Technology of China, Hefei 230026, China
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.
Keywords:Immune algorithm  Factor analysis  Principal component analysis
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