[1]杨春华,杨玲.偏最小二乘建模及其多重共线抑制能力分析[J].华侨大学学报(自然科学版),2016,37(4):523-526.[doi:10.11830/ISSN.1000-5013.201604027]
　YANG Chunhua,YANG Ling.Partial Least Squares Modeling andIts Multiple Collinear Inhibition Capability Analysis[J].Journal of Huaqiao University(Natural Science),2016,37(4):523-526.[doi:10.11830/ISSN.1000-5013.201604027]
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偏最小二乘建模及其多重共线抑制能力分析()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第37卷
期数:
2016年第4期
页码:
523-526
栏目:
出版日期:
2016-07-04

文章信息/Info

Title:
Partial Least Squares Modeling andIts Multiple Collinear Inhibition Capability Analysis
文章编号:
1000-5013(2016)04-0523-04
作者:
杨春华;  杨玲
保山学院 数学学院, 云南 保山 678000
Author(s):
YANG Chunhua;  YANG Ling
School of Mathematics, Baoshan University, Baoshan 678000, China
关键词:
偏最小二乘;  数学归纳法;  多重共线;  回归分析
Keywords:
partial least squares;  mathematical induction;  multiple collinear;  regression analysis
分类号:
O625.63
DOI:
10.11830/ISSN.1000-5013.201604027
文献标志码:
A
摘要:
首先,分析偏最小二乘法解决问题的思路,进而从数学角度刻画偏最小二乘法的四步建模过程.然后,利用数学归纳法证实偏最小二乘法对多重共线的抑制能力.最后,以某地区的供水能力评价为研究实例,证实偏最小二乘法的有效性.结果表明:偏最小二乘法完全适用于多变量复杂关系的求解.
Abstract:
Firstly, by analyzing the thinking route to solve the problem of the partial least square method, the authors describe four modeling steps to the partial least square method. Finally, we confirmed the inhibition ability of partial least squares method for multiple collinear by using the mathematical induction method. By evaluating the water supply capacity of an area as a case study, it really shows the validity of the partial least squares method. Results in this paper shows that partial least squares method is completely applicable to the solution of multi variable complex relationships.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2016-05-05
通信作者: 杨春华(1973-),男,副教授,主要从事最优化理论及其应用的研究.E-mail:378667756@qq.com.
基金项目: 云南省教育厅科学研究基金资助项目(2012Y258)
更新日期/Last Update: 2016-07-20