From projection pursuit to other unsupervised chemometric techniques

Journal of Chemometrics

Volumn 21, Issue 7-9, 2007, Pages 270-279

  Daszykowski, Michał ^a  

^a UNIVERSITY OF SILESIA   (Poland)

Author keywords

Latent variables; Projection; Projection algorithm; Projection index; Robust PCA

Indexed keywords

INDEPENDENT COMPONENT ANALYSIS;

CHEMOMETRIC TECHNIQUES; DATA DENSITY; DATA VARIANCE; EXPLORATORY DATA ANALYSIS; LATENT VARIABLE; PROJECTION; PROJECTION ALGORITHMS; PROJECTION INDICES; PROJECTION PURSUITS; ROBUST PRINCIPAL COMPONENT ANALYSIS;

PRINCIPAL COMPONENT ANALYSIS;

EID: 35649010035     PISSN: 08869383     EISSN: 1099128X     Source Type: Journal    
DOI: 10.1002/cem.1044     Document Type: Article

References (29)

1. Daszykowski M, Walczak B, Massart DL. Projection methods in chemistry. Chemom. Intell. Lab. Syst. 2003; 65: 97-112.
2. Malinowski ER. Factor Analysis in Chemistry. John Wiley & Sons, Inc.: New York, 1991.
3. Friedman JH, Tuckey JW. A projection pursuit for exploratory data analysis. IEEE Trans. Comput. 1974; 23: c-23 9 (1974).
4. Croux C, Ruiz-Gazen A. A fast algorithm for robust principal components based on projection pursuit. COMPSTAT: Proceedings in Computational Statistics; 1996; 211-217, Heidelberg: Physica-Verlag.
5. Hyvärinen A, Karhunen J, Oja E. Independent Component Analysis. John Willey & Sons, Inc.: New York, 2001.
6. Huber PJ. Projection Pursuit. Ann. Stat. 1985; 13: 435-475.
7. Yenyukov S. Indices for projection pursuit. In Data Analysis Learning Symbolic and Numeric Knmoledge, Diday E (ed.). Nova Science Publishers: New York, 1989; 181-188.
8. Glover D, Hopke PK. Exploration of multivariate chemical data by projection pursuit. Chemom. Intell. Lab. Syst. 1992; 16: 45-59.
9. Guo Q, Wu W, Questier F, Massart DL, Boucon C, de Jong C. Sequential projection pursuit using genetic algorithms for data mining of analytical data. Anal. Chem. 2000; 72: 2846-2855.
10. Kvalheim OM, Telnaes N. Visualizing information in multivariate data: applications to petroleum geochemistry. Part 1. Projection methods. Anal. Chim. Acta 1986; 191: 87-96.
11. Hubert M, Rousseeuw PJ, Verboven S. A fast method for robust principal components with application to chemometrics. Chemom. Intell. Lab. Syst. 2002; 60: 101-111.
12. Wu W, Massart DL, de Jong S. The kernel PCA algorithms for wide data. Part I: Theory and algorithms. Chemometrics Intelligent Lab. Syst. 1997; 36: 165-172.
13. Frosch Møller S, von Frese J, Bro R. Robust methods for multivariate data analysis. J. Chemometrics 2005; 19: 549-563.
14. Daszykowski M, Kaczmarek K, Vander Heyden Y, Walczak B. Robust statistics in data analysis - a review. Basic concepts. Chemom. Intell. Lab. Syst. 2007; 85: 203-219.
15. Rousseeuw PJ, Croux C. Alternatives to Median Absolute Deviation. J. Am. Stat. Assoc. 1993; 88: 1273-1283.
16. Hyvärinen A, Oja E. Independent component analysis: algorithms and applications. Neural Netw. 2000; 13: 411-430.
17. De Lathauwer L, De Moor B, Vandewalle J. An introduction to independent component analysis. J. Chemometrics 2000; 14: 123-149.
18. Visser E, Lee T. An information-theoretic methodology for the resolution of pure component spectra without prior information using spectroscopic measurements. Chemom. Intell. Lab. Syst. 2004; 70: 147-155.
19. Westad F, Kermit M. Cross validation and uncertainty estimates in independent component analysis. Anal. Chim. Acta 2003; 490: 341-354.
20. Wang G, Cai W, Shao X. A primary study on resolution of overlapping GC-MS signal using mean-field approach independent component analysis. Chemom. Intell. Lab. Syst. 2006; 82: 137-144.
21. Westad F. Independent component analysis and regression applied on sensory data. J. Chemometrics 2005; 19: 171-179.
22. Chen J, Wang XZ. A new approach to near-infrared spectral data analysis using independent component analysis. J. Chem. Inf. Comput. Sci. 2001; 41: 992-1001.
23. ftp://ftp.clarkson.edu/pub/hopkepk/Chemdata/Original/oliveoil.dat
24. Krishna Reddy MM, Ghosh P, Rasool SN, Sarin RK, Sashidhar RB. Source identification of Indian opium based on chromatographic fingerprinting of amino acids. J. Chromatogr. A 2005; 1088: 158-168.
25. Rousseeuw PJ, Leroy AM. Robust Regression and Outlier Detection. John Wiley & Sons: New York, 1987.
26. Pena D, Prieto FJ. Cluster identification using projections. J. Am. Stat. Assoc. 2001; 96: 1433-1445.
27. Martens H, Naes T. Mutivariate Calibration. John Wiley & Sons: Chichester, UK, 1989.
28. Serneels S, Filzmoser P, Croux C, Van Espen PJ. Robust continuum regression. Chemom. Intell. Lab. Syst. 2005; 76: 197-204.
29. Liu H, Yao X, Liu M, Hu Z, Fan B. Prediction of gas-phase reduced ion mobility constants (KO) based on the multiple linear regression and projection pursuit regression. Talanta 2007; 71: 258-263.