AMATO, Giuseppe, Fausto RABITTI, Pasquale SAVINO and Pavel ZEZULA. Region proximity in metric spaces and its use for approximate similarity search. ACM Transactions on Information Systems. New York: ACM Press, vol. 21, No 2, p. 192 - 227. ISSN 1046-8188. 2003.
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Basic information
Original name Region proximity in metric spaces and its use for approximate similarity search
Authors AMATO, Giuseppe (380 Italy), Fausto RABITTI (380 Italy), Pasquale SAVINO (380 Italy) and Pavel ZEZULA (203 Czech Republic, guarantor).
Edition ACM Transactions on Information Systems, New York, ACM Press, 2003, 1046-8188.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 20206 Computer hardware and architecture
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 3.533
RIV identification code RIV/00216224:14330/03:00008675
Organization unit Faculty of Informatics
UT WoS 000182275900003
Keywords in English Approximation algorithms; approximate similarity search; metric data; metric trees; performance evaluation
Tags approximate similarity search, Approximation algorithms, metric data, metric trees, performance evaluation
Changed by Changed by: prof. Ing. Pavel Zezula, CSc., učo 47485. Changed: 14/5/2003 10:06.
Abstract
Similarity search structures for metric data typically bound object partitions by ball regions. Since regions can overlap, a relevant issue is to estimate the proximity of regions in order to predict the number of objects in the regions' intersection. This paper analyzes the problem using a probabilistic approach and provides a solution that effectively computes the proximity through realistic heuristics that only require small amounts of auxiliary data. An extensive simulation to validate the technique is provided. An application is developed to demonstrate how the proximity measure can be successfully applied to the approximate similarity search. Search speedup is achieved by ignoring data regions whose proximity to the query region is smaller than a user-defined threshold. This idea is implemented in a metric tree environment for the similarity range and "nearest neighbors" queries. Several measures of efficiency and effectiveness are applied to evaluate proposed approximate search algorithms on real-life data sets. An analytical model is developed to relate proximity parameters and the quality of search. Improvements of two orders of magnitude are achieved for moderately approximated search results. We demonstrate that the precision of proximity measures can significantly influence the quality of approximated algorithms.
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