The Top-K Frequent Closed Itemset Mining Using Top-K SAT Problem

Abstract

In this paper, we introduce a new problem, called Top- k SAT, that consists in enumerating the Top- k models of a propositional formula. A Top- k model is defined as a model with less than k models preferred to it with respect to a preference relation. We show that Top- k SAT generalizes two well-known problems: the partial Max-SAT problem and the problem of computing minimal models. Moreover, we propose a general algorithm for Top- k SAT. Then, we give the first application of our declarative framework in data mining, namely, the problem of enumerating the Top- k frequent closed itemsets of length at least min ( ${\cal FCIM}_{min}^k$ ). Finally, to show the nice declarative aspects of our framework, we encode several other variants of ${\cal FCIM}_{min}^k$ into the Top- k SAT problem.

Cite

Text

Jabbour et al. "The Top-K Frequent Closed Itemset Mining Using Top-K SAT Problem." European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, 2013. doi:10.1007/978-3-642-40994-3_26

Markdown

[Jabbour et al. "The Top-K Frequent Closed Itemset Mining Using Top-K SAT Problem." European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, 2013.](https://mlanthology.org/ecmlpkdd/2013/jabbour2013ecmlpkdd-topk/) doi:10.1007/978-3-642-40994-3_26

BibTeX

@inproceedings{jabbour2013ecmlpkdd-topk,
  title     = {{The Top-K Frequent Closed Itemset Mining Using Top-K SAT Problem}},
  author    = {Jabbour, Saïd and Sais, Lakhdar and Salhi, Yakoub},
  booktitle = {European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases},
  year      = {2013},
  pages     = {403-418},
  doi       = {10.1007/978-3-642-40994-3_26},
  url       = {https://mlanthology.org/ecmlpkdd/2013/jabbour2013ecmlpkdd-topk/}
}