Optimal Upper and Lower Bounds for Boolean Expressions by Dissociation
Artificial Intelligence
2015-03-19 v1 Databases
Logic in Computer Science
Abstract
This paper develops upper and lower bounds for the probability of Boolean expressions by treating multiple occurrences of variables as independent and assigning them new individual probabilities. Our technique generalizes and extends the underlying idea of a number of recent approaches which are varyingly called node splitting, variable renaming, variable splitting, or dissociation for probabilistic databases. We prove that the probabilities we assign to new variables are the best possible in some sense.
Cite
@article{arxiv.1105.2813,
title = {Optimal Upper and Lower Bounds for Boolean Expressions by Dissociation},
author = {Wolfgang Gatterbauer and Dan Suciu},
journal= {arXiv preprint arXiv:1105.2813},
year = {2015}
}
Comments
7 pages, 2 figures; for details see the project page: http://LaPushDB.com/