偏最小二乘建模及其多重共线抑制能力分析

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.

Partial Least Squares Modeling andIts Multiple Collinear Inhibition Capability Analysis

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.