Title
Quantitative Association Rules Based on Half-Spaces: An Optimization Approach
Abstract
We tackle the problem of finding association rules for quantitative data. Whereas most of the previous approaches operate on hyperrectangles, we propose a representation based on half-spaces. Consequently, the left-hand side and right-hand side of an association rule does not contain a conjunction of items or intervals, but a weighted sum of variables tested against a threshold. Since the downward closure property does not hold for such rules, we propose an optimization setting for finding locally optimal rules. A simple gradient descent algorithm optimizes a parameterized score function, where iterations optimizing the first separating hyperplane alternate with iterations optimizing the second. Experiments with two real-world data sets show that the approach finds non-random patterns and scales up well. We therefore propose quantitative association rules based on half-spaces as an interesting new class of patterns with a high potential for applications.
Year
DOI
Venue
2004
10.1109/ICDM.2004.10038
ICDM
Keywords
Field
DocType
data mining,gradient methods,optimisation,downward closure property,gradient descent algorithm,hyper rectangles,locally optimal rules,optimization,quantitative association rules
Downward closure,Data mining,Data set,Gradient descent,Mathematical optimization,Parameterized complexity,Computer science,Association rule learning,Artificial intelligence,Hyperplane,Score,Machine learning
Conference
ISBN
Citations 
PageRank 
0-7695-2142-8
19
1.37
References 
Authors
10
3
Name
Order
Citations
PageRank
Ulrich Ruckert1717.70
Lothar Richter2986.32
Stefan Kramer31313141.90