22
Dynamic Dimensionality Allocation
The progressive spectral dimensionality process (PSDP) in Chapter 20 and progressive band dimensionality process (PBDP) in Chapter 21 are developed to mitigate three major issues arising in both dimensionality reduction (DR) and band selection (BS). One is that the number of dimensions to be retained after DR, q, and the number of bands for BS to select,
, must be known a priori. Another is that the values of q and
must be fixed once they are determined and cannot be changed during the process. The third one is that when the values of q and
are changed, the entire process of DR or BS must be reimplemented over again and cannot take advantage of results obtained with previous smaller values of q and
. Both PSDP and PBDP address the second and third issues by introducing dimensionality prioritization (DP) and band prioritization (BP) and the second issue by bounding q and
from below by nVD and above by 2nVD with nVD being the value determined by virtual ...