Selection of best bases for classification and regression, (with R. R. Coifman),
Proc.1994 IEEE-IMS Workshop on Information Theory and Statistics, p. 51, IEEE-IMS, Oct. 1994, Alexandria, VA.
Abstract
We describe extensions to the "best-basis" method to select orthonormal
bases suitable for signal classification (or regression) problems from a
collection of orthonormal bases using the relative entropy (or regression
errors). Once these bases are selected, the most significant
coordinates are fed into a traditional classifier (or regression method)
such as Linear Discriminant Analysis (LDA) or a Classification and Regression
Tree (CART).
The performance of these statistical methods is enhanced since the
proposed methods reduce the dimensionality of the problems by
using the basis functions which are well-localized in the time-frequency plane
as feature extractors.
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