Variable selection in wavelet regression models

Analytica Chimica Acta

Volumn 368, Issue 1-2, 1998, Pages 29-44

  Alsberg, Bjørn K ^a   Woodward, Andrew M ^a   Winson, Michael K ^a   Rowland, Jem J ^a   Kell, Douglas B ^a  

^a ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

Feature extraction; Feature selection; Infrared spectra; Multivariate calibration; Mutual information; Partial least squares; Scalogram; Variable selection; Wavelet regression

Indexed keywords

ARTICLE; CALIBRATION; INFRARED SPECTROSCOPY; MODEL; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL; REGRESSION ANALYSIS; THEORY;

EID: 0032540841     PISSN: 00032670     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-2670(98)00194-9     Document Type: Article

References (66)

1. Lai E.P.C., Giroux R.D., Chen N.L., Guo R.D. Canad. J. Chem. 71:1993;968-975.
2. Marquardt L.A., Arnold M.A., Small G.W. Anal. Chem. 65:1993;3271-3278.
3. Workman J., Brown J. Spectroscopy. 11:1996;48-51.
4. Engstrom E., Karlberg B. J. Chemomet. 10:1996;509-520.
5. Thyholt K., Enersen G., Isaksson T. Meat Sci. 48:1998;49-63.
6. Downey G. Analyst. 119:1994;2367-2375.
7. Janik L.J., Skjemstad J.O. Austral. J. Soil Res. 33:1995;637-650.
8. Lai Y.W., Kemsley E.K., Wilson R.H. J. Agric. Food Chem. 42:1994;1154-1159.
9. Goodacre R., Trew S., Wrigley-Jones C., Neal M.J., Maddock J., Ottley T.W., Porter N., Kell D.B. Biotechnol. Bioeng. 44:1994;1205-1216.
10. Goodacre R., Neal M.J., Kell D.B. Anal. Chem. 66:1994;1070-1085.
11. Goodacre R., Neal M.J., Kell D.B., Greenham L.W., Noble W.C., Harvey R.G. J. Appl. Bacteriol. 76:1994;124-134.
12. Wold S. Technometrics. 35:1993;136-139.
13. Wold S., Ruhe A., Wold H., Dunn W.J. SIAM J. Sci. Stat. Comput. 5:1984;735-743.
14. Wold S., Martens H., Wold H. Lecture Notes Math. 973:1983;286-293.
15. Holcomb T.R., Morari M. Comput. Chem. Eng. 16:1992;393-411.
16. Frank I.E. Chemomet. Intell. Lab. Sys. 8:1990;109-119.
17. DeJong S. J. Chemomet. 7:1993;551-557.
18. Cheng B., Titterington D.M. Stat. Sci. 9:1994;2-30.
19. Delyon B., Juditsky A., Benveniste A. IEEE Trans. Neural Networks. 6:1995;332-348.
20. C.M. Bishop, Neural Networks for Pattern Recognition, Clarendon, Oxford, 1995.
21. A.B. Bulsari (Ed.), Neural Networks for Chemical Engineers, Elsevier, Amsterdam, 1995.
22. S. Haykin, Neural Networks, Macmillan, New York, 1994.
23. S.S. Haykin, Neural Networks: A Comprehensive Foundation, Macmillan, New York, 1994.
24. Szu H.H., Yang X.Y., Telfer B.A., Sheng Y.L. Phys. Rev. E. 48:1993;1497-1501.
25. Zhang J., Walter G.G., Miao Y.B., Lee W.N.W. IEEE Trans. Signal Process. 43:1995;1485-1497.
26. Alsberg B.K., Woodward A.M., Kell D.B. Chemomet. Intell. Lab. Sys. 37:1997;215-239.
27. I. Daubechies, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992.
28. Daubechies I. SIAM J. Math. Anal. 24:1993;499-519.
29. I. Daubechies, in: I. Daubechies (Ed.), Different Perspectives on Wavelets, American Mathematical Society, Providence, RI, 1993, pp. 1-33.
30. D.L. Donoho, in: I. Daubechies (Ed.), Different Perspectives on Wavelets, American Mathematical Society, Providence, RI, 1993, pp. 173-205.
31. Donoho D.L., Johnstone I.M. Biometrika. 81:1994;425-455.
32. Donoho D.L., Johnstone I.M., Kerkyacharian G., Picard D. J. Royal Stat. Soc. B. 57:1995;301-337.
33. Holschneider M. J. Math. Phys. 34:1993;3227-3244.
34. Holschneider M. J. Math. Phys. 34:1993;4190-4198.
35. Holschneider M. Commun. Math. Phys. 160:1994;457-473.
36. M. Holschneider, Wavelets: An Analysis Tool, Clarendon, Oxford, 1995.
37. Hong L. IEEE Trans. Aerospace Electron. Sys. 29:1993;1244-1251.
38. Huffman J.C. SMPTE J. 103:1994;723-727.
39. S. Mallat, IEEE Trans. Pattern Anal. Machine Intell. 2 (1989).
40. S. Mallat, Trans. Am. Math. Soc. 315 (1989) 69-87, 18215-18231.
41. Mallat S.G. IEEE Trans. Pattern Anal. Machine Intell. 11:1989;674-693.
42. Mallat S., Hwang W.L. IEEE Trans. Inform. Theory. 38:1992;617-643.
43. Y. Meyer, Congr. Int. Phys. Math., Swansea, July 1988.
44. Y. Meyer, Rapport CEREMADE, No. 8704, Univ. Paris-Dauphine, Paris, France, 1987.
45. Daubechies I., Grossmann A. Commun. Pure Appl. Math. 41:1988;151-164.
46. Teolis A., Benedetto J.J. Signal Process. 45:1995;369-387.
47. M. Cartwright, Fourier Methods for Mathematicians, Scientists and Engineers, Ellis Horwood, New York, 1990.
48. M. Vetterli, J. Kovacevic, Wavelets and Subband Coding, Prentice Hall PTR, New Jersey, 1995.
49. Davis G., Mallat S., Zhang Z.F. Optical Eng. 33:1994;2183-2191.
50. H. Martens, T. Næs, Multivariate Calibration, Wiley, Chichester, 1989.
51. Graps A. IEEE Comput. Sci. Eng. 2:1995;50-61.
52. P.R. Griffiths, J.A. de Haseth, Fourier Transform Infrared Spectrometry, Wiley, New York, 1986.
53. Lindgren F., Geladi P., Rannar S., Wold S. J. Chemomet. 8:1994;349-363.
54. Lindgren F., Geladi P., Berglund A., Sjostrom M., Wold S. J. Chemomet. 9:1995;331-342.
55. C.E. Shannon, A Mathematical Theory of Communication, American Telephone and Telegraph Co., New York, 1948.
56. Battiti R. IEEE Trans. Neural Networks. 5:1994;537-550.
57. C.C. Beardah, M.J. Baxter, Interfacing the past: Computer applications and quantitative methods in archaeology, CAA95, 1995.
58. Winson M.K., Alsberg B.K., Woodward A.M., Goodacre R., Timmins I., Jones A., Broadhurst D., Rowland J., Kell D.B. Anal. Chim. Acta. 348:1997;273-282.
59. Snee R.D. Technometrics. 19:1977;415-428.
60. J. Buckheit, S. Chen, J. Crutchfield, D. Donoho, H. Gao, I. Johnstone, E. Kolaczyk, J. Scargle, K. Young, T. Yu, http://playfair.Stanford.EDU:80/~wavelab/, 1996.
61. C.C. Beardah, Kernel Density Estimation Toolbox, 1.1 ed., Nottingham, Web address: http://maths.ntu.ac.uk/ccb/html/densest.html, 1996.
62. Alsberg B.K., Winson M.K., Kell D.B. Chemomet. Intell. Lab. Sys. 36:1997;95-109.
63. Brown P.J. J. Chemomet. 6:1992;151-161.
64. Brenchley J.M., Hörchner U., Kalivas J.H. Appl. Spectrosc. 51:1997;689-699.
65. Alsberg B.K., Kvalheim O.M. J. Chemomet. 7:1993;61-73.
66. Alsberg B.K., Nodland E., Kvalheim O.M. J. Chemomet. 8:1994;127-145.