Affiliation:
1. Duke University, Durham, NC
2. Hong Kong University of Science and Technology, Hong Kong, China
Abstract
Querying uncertain data has emerged as an important problem in data management due to the imprecise nature of many measurement data. In this article, we study answering range queries over uncertain data. Specifically, we are given a collection
P
of
n
uncertain points in ℝ, each represented by its one-dimensional probability density function (pdf). The goal is to build a data structure on
P
such that, given a query interval
I
and a probability threshold τ, we can quickly report all points of
P
that lie in
I
with probability at least τ. We present various structures with linear or near-linear space and (poly)logarithmic query time. Our structures support pdf's that are either histograms or more complex ones such as Gaussian or piecewise algebraic.
Funder
Army Research Office
Division of Computer and Network Systems
Division of Information and Intelligent Systems
Division of Computing and Communication Foundations
Research Grants Council, University Grants Committee, Hong Kong
U.S. Department of Energy
National Institutes of Health
Publisher
Association for Computing Machinery (ACM)
Subject
Mathematics (miscellaneous)
Reference24 articles.
1. Agarwal P. K. and Erickson J. 1999. Geometric range searching and its relatives. In Advances in Discrete and Computational Geometry. American Mathematical Society 1--56. Agarwal P. K. and Erickson J. 1999. Geometric range searching and its relatives. In Advances in Discrete and Computational Geometry. American Mathematical Society 1--56.
2. On range searching with semialgebraic sets
3. Agarwal P. K. and Sharir M. 2000. Davenport-Schinzel sequences and their geometric applications. In Handbook of Computational Geometry Elsevier Science Publishers B.V. North-Holland Amsterdam 1--47. Agarwal P. K. and Sharir M. 2000. Davenport-Schinzel sequences and their geometric applications. In Handbook of Computational Geometry Elsevier Science Publishers B.V. North-Holland Amsterdam 1--47.
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