Quality-Related Process Monitoring Based on Total Kernel PLS Model and Its Industrial Application

Algorithm 2

T-KPLS algorithm for calculation.

Obtain 𝐊 and 𝐘

(1) After KPLS model: 𝐓=𝐊𝐔(𝐓^𝑇𝐊𝐔)⁻¹

(2) Run eigenvector decomposition on 𝐘: 𝐓_𝑦=𝐘𝐐_𝑦=𝐓𝐐^𝑇𝐐_𝑦

(3) Perform eigenvector decomposition on (1/𝑛)𝐊_𝑜 to get the eigenvectors

   𝐖_𝑜 with regard to its largest 𝐴_𝑜 eigenvalues. 𝐓_𝑜=𝐊_𝑜𝐖_𝑜

(4) Perform eigenvector decomposition on (1/𝑛)𝐊_𝑟 to get the eigenvectors

   𝐖_𝑟 with regard to its largest 𝐴_𝑟 eigenvalues. 𝐓_𝑟=𝐊_𝑟𝐖_𝑟