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Uniform generation in spatial constraint databases and applications (Extended abstract)

Published: 01 May 2000 Publication History

Abstract

We study the efficient approximation of queries in linear constraint databases using sampling techniques. We define the notion of an almost uniform generator for a generalized relation and extend the classical generator of Dyer, Frieze and Kannan for convex sets to the union and the projection of relations. For the intersection and the difference, we give sufficient conditions for the existence of such generators. We show how such generators give relative estimations of the volume and approximations of generalized relations as the composition of convex hulls obtained from the samples.

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cover image ACM Conferences
PODS '00: Proceedings of the nineteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
May 2000
281 pages
ISBN:158113214X
DOI:10.1145/335168
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 May 2000

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