Title
A divide-and-conquer discretization algorithm
Abstract
The problem of real value attribute discretization can be converted into the reduct problem in the Rough Set Theory, which is NP-hard and can be solved by some heuristic algorithms. In this paper we show that the straightforward conversion is not scalable and propose a divide-and-conquer algorithm. This algorithm is fully scalable and can reduce the time complexity dramatically especially while integrated with the tournament discretization algorithm. Parallel versions of this algorithm can be easily written, and their complexity depends on the number of objects in each subtable rather than the number of objects in the initial decision table. There is a tradeoff between the time complexity and the quality of the discretization scheme obtained, and this tradeoff can be made through adjusting the number of subtables, or equivalently, the number of objects in each subtable. Experimental results confirm our analysis and indicate appropriate parameter setting.
Year
DOI
Venue
2005
null
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Keywords
Field
DocType
reduct problem,rough set theory,appropriate parameter setting,divide-and-conquer algorithm,real value attribute discretization,discretization scheme,divide-and-conquer discretization algorithm,tournament discretization algorithm,heuristic algorithm,time complexity,decision table,divide and conquer
Discretization,Heuristic,Reduct,Decision table,Parallel algorithm,Computer science,Algorithm,Rough set,Divide and conquer algorithms,Time complexity
Conference
Volume
Issue
ISSN
3613 LNAI
null
16113349
ISBN
Citations 
PageRank 
3-540-28312-9
3
0.41
References 
Authors
4
4
Name
Order
Citations
PageRank
Fan Min183846.96
Lijun Xie2244.56
Qihe Liu315312.32
Hongbin Cai460.85