Ratko Orlandic 

(Department of Computer Science, IIT)

Topological Selections in High-Dimensional Spaces

 

Abstract

Many database applications, which include multimedia systems, data mining and scientific simulations, deal with large amounts of persistent data characterized by very high dimensionality. Unfortunately, other than the fact that contemporary multi-dimensional access methods do not handle well large sets of high-dimensional data, we know little about the underlying causes of their inadequacy. In this seminar, we will discuss the problems of traditional spatial structures that result in their inability to handle high-dimensional data. Then we introduce two new structures that effectively attack the limitations of the contemporary access methods in high-dimensional spaces.

The first structure, called QSF-trees, is designed to accommodate extended spatial objects in both low- and high-dimensional spaces. The analytical and experimental evidence shows that QSF-trees outperform the traditional SAMs, including two variants of R*-trees and object-transformation schemes. As the number of dimensions grows, the improvements have a tendency to increase. The other structure, called the high-dimensional KDB-tree, is designed to accommodate points in high-dimensional spaces. The structure is a general-purpose point access method that effectively attacks the limitations of KDB-trees in high-dimensional spaces, while preserving their simplicity and good performance characteristics in low-dimensional spaces. 

 
Last updated by  am@charlie.iit.edu  on 01/27/01