Basis Selection for Wavelet Regression
Wheeler, Kevin R., Dhawan, Atam P.
–Neural Information Processing Systems
The initial assumption is that the original data samples lie in the finest space Vo, which is spanned by the scaling function,p E Vo such that the collection {,p( x -t) It E Z} is a Riesz basis of Vo . The first level of the dyadic decomposition then consists of projecting the data samples onto scaling functions which have been dilated to be twice as wide as the original,p.
Neural Information Processing Systems
Dec-31-1999