Recent developments in discriminant analysis on high dimensional spectral data

Chemometrics and Intelligent Laboratory Systems

Volumn 35, Issue 2, 1996, Pages 157-173

  Mallet, Y ^a   Coomans, D ^a   De Vel, O ^a  

^a JAMES COOK UNIVERSITY   (Australia)

Author keywords

classification; dimension reduction; discriminant analysis; feature extraction; high dimensional classifiers; high dimensional spectral data; low dimensional classifiers

Indexed keywords

ARTICLE; CHEMOMETRICS; PRIORITY JOURNAL; STATISTICS;

EID: 0030471418     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-7439(96)00050-0     Document Type: Article

References (49)

1. 1 G.J. McLachlan, Discriminant Analysis and Statistical Pattern Recognition (Wiley, New York, 1992).
2. [2] D. Coomans and I. Broeckaert, Potential Pattern Recognition in Chemical and Medical Decision Making (Wiley, New York, 1986).
3. [3] S. Aeberhard, D. Coomans and O. De Vel, Pattern Recognition 27 (1994) 1065-1077.
4. [4] A.K. Jain and W.G. Waller, Pattern Recognition 10 (1978) 365-374.
5. [5] L. Breiman, J.H. Friedman, R.A. Olshen and C.J. Stone, Classification and Regression Trees (Wadsworth, CA, 1984).
6. [6] B. Ripley, J. R. Statist. Soc. B (1994) 409-456.
7. [7] T. Hastie, R. Tibshirani and A. Buja, J. Am. Stat. Assoc. 89 (1994) 1255-1270.
8. [8] L. Lebart, A. Morineau and K.M. Warwick, Multivariate Descriptive Statistical Analysis: Correspondence Analysis and Related Techniques for Large Matrices (Wiley, New York, 1984).
9. [9] M. Tatsuoka, Multivariate Analysis: Techniques for Educational and Psychological Research (Wiley, New York, 1971).
10. [10] T. Hastie, A. Buja and R. Tibshirani, Ann. Stat. 23 (1995) 73-102.
11. [11] P. Jonathan, W.V. McCarthy and A.M. Roberts, J. Chemom. (1995), submitted for publication.
12. [12] P.J. Brown, Measurement, Regression and Calibration (Oxford, 1993).
13. [13] R.A. Johnson and D.W. Wichern Applied Multivariate Statistical Analysis (Prentice Hall, NJ, 1988).
14. [14] T. Fearn, NIR News 4 (1993) 4-5.
15. [15] L. Breiman and R. Ihaka, Technical Report, University of California, Dept. of Statistics (1984).
16. [16] J. Friedman, Ann. Stat. 19 (1991) 1-141.
17. [17] T. Hastie and R. Tibshirani, Generalized Additive Models (Chapman and Hall, London, 1990).
18. [18] W. Wu, B. Walczak, D.L. Massart, K.A. Prebble and I.R. Last, Anal. Chim. Acta 315 (1995) 243-255.
19. [19] C. Gilbert, S. Kokot and U. Meyer, Appl. Spectrosc. 47 (1993) 741-748.
20. [20] D.G. Evans, C.N. Scotter, L.Z. Day and M.N. Hall, J. Near Infrared Spectrosc. 1 (1993) 33-44.
21. [21] T.Y. Young and T.W. Calvert, Classification, Estimation and Pattern Recognition (Elsevier, New York, 1974).
22. [22] W. Wu, B. Walczak, W. Penninckx and D.L. Massart, Anal. Chim. Acta (1996), in press.
23. [23] M. Bos and J.A.M. Vrielink, J. Chemom. Intell. Lab. Syst. 23 (1994) 115-122.
24. [24] N. Saito and R.R. Coiffman, in: A.F. Laine and M.A. Unser (Eds.), Wavelet Applications in Signal and Image Processing II, Proc. SPIE, Vol. 2303 (1994).
25. [25] R. Tate, D. Watson and S. Eglen, A. Antoniadis and G. Oppenheim (Eds.), Wavelets and Statistics (1995) p. 373.
26. [26] R.E. Learned and A.S. Wilsky, App. Comp. Harm. Anal. 2 (1995) 265-278.
27. [27] I. Jolliffe, Principal Component Analysis (Springer-Verlag, New York, 1986).
28. [28] G. Downey, P. Robert, D. Bertrand and P.M. Kelly, Appl. Spectrosc. 44 (1990) 150.
29. [29] I.E. Frank and J.H. Friedman, J. Chemom. 3 (1989) 463-475.
30. [30] S. Wold, Patt. Recog. 8 (1976) 127-139.
31. [31] Numerical Recipes in C: the Art of Scientific Computing (Cambridge University Press, New York, 1992).
32. [32] T. Odom-Maryon, B. Langholz, J. Niland and S. Azen, Statist. Med. 10 (1991) 473-485.
33. [33] B. Vidaković and P. Muller, ftp://ftp.isds.duke.edu/pub/ brani/papers/wav4kids[AB].ps.Z.
34. [34] B.A. Telfer, H.H. Szu, G.J. Dobeck, J.P. Garcia, H. Ko, A. Dubey and N. Witherspoon, Opt. Eng. 33 (1994) 2192-2203.
35. [35] H.H. Szu, B. Telfer and S. Kadambe, Opt. Eng. 31 (1992) 1907-1916.
36. [36] Y. Mallet, J. Kautsky, D. Coomans and O. De Vel, IEEE Patt. Anal. Mach. Intell. (1996), in preparation.
37. [37] I. Daubechies, Ten Lectures on Wavelets, 51AM, 1992.
38. [38] R.R. Coifman and M.V. Wickerhauser, IEEE Info. T. 38 (1992) 713-718.
39. [39] K.M. Bewig, A.D. Clarke, C. Roberts and N. Unklesbay, JAOCS 71 (1994) 195-200.
40. [40] H.L. Mark and D. Tunnell, Anal. Chem. 57 (1985) 1449-1456.
41. [41] S. Aeberhard, O. De Vel and D. Coomans, Siam (1996), submitted for publication.
42. [42] K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic Press, Boston, 1990).
43. [43] D.J. Hand, Discrimination and Classification (Wiley, New York, 1981).
44. [44] D. Jouan-Rimbaud, D. Massart, R. Leardi and D. Denoord, Anal. Chem. 67 (1995) 4295-4301.
45. [45] R. Leardi, J. Chemom. 8 (1994) 65-79.
46. [46] A.K. Jain and B. Chandrasekaren, P.R. Krishnaiah and L. Kanal (Eds), Handbook of Statistics, Vol. II (Amsterdam, 1982) pp. 835-855.
47. [47] J. Friedman, J. Am. Stat. Assoc. 84 (1989) 165-175.
48. [48] W. Rayens and T Greene, Comput. Stat. Data Anal. 11 (1991) 17-42.
49. [49] W. Wu, Y. Mallet, B. Walczak, W. Penninckx and D.L. Massart, Anal. Chem. (1996), in press.