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The A-tree: An Index Structure for High-Dimensional Spaces Using Relative Approximation

Published 10 September 2000
Yasushi Sakurai, Masatoshi Yoshikawa, Shunsuke Uemura, Haruhiko Kojima
Citations206

TL;DR

A novel index structure, A-tree (Approximation tree), for similarity search of high-dimensional data, which outperforms the SR-tree and the VA-File in all range of dimensionality up to 64 dimension, which is the highest dimension in the authors' experiments.

Abstract

We propose a novel index structure, A-tree (Approximation tree), for similarity search of high-dimensional data. The basic idea of the A-tree is the introduction ofVirtual BoundingRectangl # (VBRs), which contain and approximate MBRs and data objects. VBRs can be represented rathercompactl , and thus affect the tree configuration both quantitativel and qualzR%#z el .Firstl , since tree nodes caninstal lsta number of entries of VBRs, fanout of nodes becomes lomes thuslR]# to fast search. More importantl , we have a free hand in arranging MBRs and VBRs in tree nodes. In the A-trees, nodes contain entries of an MBRand its chil8z8 VBRs. Therefore, by fetching a node of an A-tree, we can obtain the information of exact position of a parent MBR and approximate position of its chil*8#R We have performed experiments using both synthetic andreal data sets. For thereal data sets, the A-tree outperforms the SR-tree and the VA-Fil in al range ofdimensional...

Keywords

Computer Science