1999
@article{KAA1999,
vgclass = {refpap},
vgproject = {cbir},
author = {K. V. Ravi Kanth and Divyakant Agrawal and Amr El Abbadi
and Ambuj Singh},
title = {Dimensionality Reduction for Similarity Searching in
Dynamic Databases},
journal = {Computer Vision and Image Understanding (special issue on content-based access for image
and video libraries)},
volume = {75},
number = {1/2},
pages = {59--72},
month = {July/August},
year = {1999},
url = {http://www.cs.ucsb.edu/\~{}kravi/dimred.ps},
abstract = {Databases are increasingly being used to store multimedia
objects such as maps, images, audio, and video. Storage and retrieval
of these objects is accomplished using multidimensional index
structures such as $R^*$-trees and SS-trees. As dimensionality
increases, query performance in these index structures degrades. This
phenomenon, generally referred to as the dimensionality curse, can be
circumvented by reducing the dimensionality of the data. Such a
reduction is, however, accompanied by a loss of precision of query
results. Current techniques such as QBIC use SVD transform-based
dimensionality reduction to ensure high query precision. The drawback
of this approach is that SVD is expensive to compute and, therefore,
not readily applicable to dynamic databases. In this paper, we propose
novel techniques for performing SVD-based dimensionality reduction in
dynamic databases. When the data distribution changes considerably so
as to degrade query precision, we recompute the SVD transform and
incorporate it in the existing index structure. For recomputing the
SVD-transform, we propose a novel technique that uses \emph{aggregate}
data from the existing index rather than the entire data. This
technique reduces the SVD-computation time without compromising query
precision. We then explore efficient ways to incorporate the
recomputed SVD-transform in the existing index structure. These
techniques reduce the computation time by a factor of 20 in experiments
on color and texture image vectors. The error due to approximate
computation of SVD is less than 10\%.},
}