Y. Mallet et al., CLASSIFICATION USING ADAPTIVE WAVELETS FOR FEATURE-EXTRACTION, IEEE transactions on pattern analysis and machine intelligence, 19(10), 1997, pp. 1058-1066
A major concern arising from the classification of spectral data is th
at the number of variables or dimensionality often exceeds the number
of available spectra This leads to a substantial deterioration in perf
ormance of traditionally favored classifiers. It becomes necessary to
decrease the number of variables to a manageable size, whilst, at the
same time, retaining as much discriminatory information as possible. A
new and innovative technique based on adaptive wavelets, which aims t
o reduce the dimensionality and optimize the discriminatory informatio
n is presented. The discrete wavelet transform is utilized to produce
wavelet coefficients which are used for classification. Rather than us
ing one of the standard wavelet bases, we generate the wavelet which o
ptimizes specified discriminant criteria.