Multivariate calibration of near infrared spectra by orthogonal WAVElet correction using a genetic algorithm

Orthogonal WAVElet correction (OWAVEC) is a pre-processing method aimed at simultaneously accomplishing two essential needs in multivariate calibration, signal correction and data compression, by combining the application of an orthogonal signal correction algorithm to remove information unrelated to a certain response with the great potential that wavelet analysis has shown for signal processing. In the previous version of the OWAVEC method, once the wavelet coefficients matrix had been computed from NIR spectra and deflated from irrelevant information in the orthogonalization step, effective data compression was achieved by selecting those largest correlation/variance wavelet coefficients serving as the basis for the development of a reliable regression model. This paper presents an evolution of the OWAVEC method, maintaining the first two stages in its application procedure (wavelet signal decomposition and direct orthogonalization) intact but incorporating genetic algorithms as a wavelet coefficients selection method to perform data compression and to improve the quality of the regression models developed later. Several specific applications dealing with diverse NIR regression problems are analyzed to evaluate the actual performance of the new OWAVEC method. Results provided by OWAVEC are also compared with those obtained with original data and with other orthogonal signal correction methods.

[1]  S. Wold,et al.  PLS regression on wavelet compressed NIR spectra , 1998 .

[2]  Consuelo Pizarro,et al.  OWAVEC: a combination of wavelet analysis and an orthogonalization algorithm as a pre-processing step in multivariate calibration , 2004 .

[3]  Beata Walczak,et al.  Wavelets in Chemistry , 2001 .

[4]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[5]  R. Bonner,et al.  Application of wavelet transforms to experimental spectra : Smoothing, denoising, and data set compression , 1997 .

[6]  Desire L. Massart,et al.  Noise suppression and signal compression using the wavelet packet transform , 1997 .

[7]  Consuelo Pizarro,et al.  Generalization of OWAVEC method for simultaneous noise suppression, data compression and orthogonal signal correction , 2005 .

[8]  K. Jetter,et al.  Principles and applications of wavelet transformation to chemometrics , 2000 .

[9]  Riccardo Leardi,et al.  Extraction of representative subsets by potential functions method and genetic algorithms , 1998 .

[10]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[11]  D. B. Hibbert Genetic algorithms in chemistry , 1993 .

[12]  Junbin Gao,et al.  A review on applications of wavelet transform techniques in chemical analysis: 1989–1997 , 1998 .

[13]  R. Leardi,et al.  Genetic algorithms applied to feature selection in PLS regression: how and when to use them , 1998 .

[14]  Douglas B. Kell,et al.  Wavelet Denoising of Infrared Spectra , 1997 .

[15]  Desire L. Massart,et al.  Wavelets — something for analytical chemistry? , 1997 .

[16]  R. Leardi,et al.  Variable selection for multivariate calibration using a genetic algorithm: prediction of additive concentrations in polymer films from Fourier transform-infrared spectral data , 2002 .

[17]  Age K. Smilde,et al.  Direct orthogonal signal correction , 2001 .

[18]  K. Jetter,et al.  Quantitative analysis of near infrared spectra by wavelet coefficient regression using a genetic algorithm , 1999 .