Mixed Kernel Functions for Multivariate Statistical Monitoring of Nonlinear Processes

Author(s):  
Karl Ezra S. Pilario ◽  
Mahmood Shafiee
2015 ◽  
Vol 103 ◽  
pp. 338-351 ◽  
Author(s):  
Llorenç Burgas ◽  
Joaquim Melendez ◽  
Joan Colomer ◽  
Joaquim Massana ◽  
Carles Pous

2011 ◽  
Vol 107 (2) ◽  
pp. 258-268 ◽  
Author(s):  
José L. Godoy ◽  
Roque J. Minari ◽  
Jorge R. Vega ◽  
Jacinto L. Marchetti

2011 ◽  
Vol 35 (11) ◽  
pp. 2457-2468 ◽  
Author(s):  
Nazatul Aini Abd Majid ◽  
Mark P. Taylor ◽  
John J.J. Chen ◽  
Brent R. Young

Author(s):  
Jing Wang ◽  
Jinglin Zhou ◽  
Xiaolu Chen

AbstractIndustrial data variables show obvious high dimension and strong nonlinear correlation. Traditional multivariate statistical monitoring methods, such as PCA, PLS, CCA, and FDA, are only suitable for solving the high-dimensional data processing with linear correlation. The kernel mapping method is the most common technique to deal with the nonlinearity, which projects the original data in the low-dimensional space to the high-dimensional space through appropriate kernel functions so as to achieve the goal of linear separability in the new space. However, the space projection from the low dimension to the high dimension is contradictory to the actual requirement of dimensionality reduction of the data. So kernel-based method inevitably increases the complexity of data processing.


2020 ◽  
Vol 205 ◽  
pp. 112317 ◽  
Author(s):  
Bilal Taghezouit ◽  
Fouzi Harrou ◽  
Ying Sun ◽  
Amar Hadj Arab ◽  
Cherif Larbes

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