A generalized variance of reconstruction error criterion for determining the optimum number of principal components

18th Mediterranean Conference on Control and Automation, MED'10 - Conference Proceedings

Volumn , Issue , 2010, Pages 868-873

  Mnassri, Baligh ^a   El Adel, El Mostafa ^a   Ananou, Bouchra ^a   Ouladsine, Mustapha ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GENERALIZED VARIANCE; INDEPENDENT VARIABLES; OPTIMUM NUMBER; PRINCIPAL COMPONENTS; QUADRATIC DETECTION; RECONSTRUCTION ERROR; SQUARED PREDICTION ERRORS;

OPTIMIZATION; QUALITY ASSURANCE; REDUNDANCY; REPAIR;

PRINCIPAL COMPONENT ANALYSIS;

EID: 77957004417     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MED.2010.5547759     Document Type: Conference Paper

References (10)

1. M. Tamura and S. Tsujita, A study on the number of principal components and sensitivity of fault detection using PCA, Computers & Chemical Engineering, vol. 31, no. 9, 2007, pp 1035-1046.
2. S.J. Qin and R. Dunia, Determining the number of principal components for best reconstruction, Journal of Process Control, vol. 10, no. 2, 2000, pp 245-250.
3. S.J. Qin, Statistical process monitoring: basics and beyond, Journal of Chemometrics, vol. 17, no. 8-9, 2003, pp 480-502.
4. S. Valle, W. Li and S.J. Qin, Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods, Ind. Eng. Chem. Res., vol. 38, no. 11, 1999, pp 4389-4401.
5. H.H. Yue and S.J. Qin, Reconstruction-Based Fault Identification Using a Combined Index, Ind. Eng. Chem. Res., vol. 40, no. 20, 2001, pp 4403-4414.
6. Y. Tharrault, G. Mourot, J. Ragot and D. Maquin, Fault detection and isolation with robust principal component analysis, Int. J. Appl. Math. Comput. Sci., vol. 18, no. 4, 2008, pp 429-442.
7. G.E.P. Box, Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification, Ann. Math. Statist., vol. 25, no. 2, 1954, pp 290-302.
8. P. Nomikos and J.F. MacGregor, Multivariate SPC charts for monitoring bach processes, Technometrics, vol. 37, no. 1, 1995, pp 41-59.
9. B. Mnassri, E.-M. El Adel and M. Ouladsine, "Fault Localization Using Principal Component Analysis Based on a New Contribution to the Squared Prediction Error", in 16th Mediterranean Conference on Control and Automation, Ajaccio, France, 2008, pp. 65-70.
10. B. Mnassri, E.-M. El Adel, B. Ananou and M. Ouladsine, "Fault Detection and Diagnosis Based on PCA and a New Contribution Plots", in 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Barcelona, Spain, 2009, pp. 834-839.