In this paper we propose an ι1-norm penalized sparse support vector machine (SSVM) as an embedded approach
to the hyperspectral imagery band selection problem. SSVMs exhibit a model structure that includes a clearly
identifiable gap between zero and non-zero weights that permits important bands to be definitively selected in
conjunction with the classification problem. The SSVM Algorithm is trained using bootstrap aggregating to
obtain a sample of SSVM models to reduce variability in the band selection process. This preliminary sample
approach for band selection is followed by a secondary band selection which involves retraining the SSVM to
further reduce the set of bands retained. We propose and compare three adaptations of the SSVM band selection
algorithm for the multiclass problem. Two extensions of the SSVM Algorithm are based on pairwise band
selection between classes. Their performance is validated by using one-against-one (OAO) SSVMs. The third
proposed method is a combination of the filter band selection method WaLuMI in sequence with the (OAO)
SSVM embedded band selection algorithm. We illustrate the perfomance of these methods on the AVIRIS
Indian Pines data set and compare the results to other techniques in the literature. Additionally we illustrate
the SSVM Algorithm on the Long-Wavelength Infrared (LWIR) data set consisting of hyperspectral videos of
chemical plumes.
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