Hashing for Fast Pattern Set Selection

Fuente: arXiv
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Hauptverfasser: Karjalainen, Maiju, Miettinen, Pauli
Format: Preprint
Veröffentlicht: 2025
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author Karjalainen, Maiju
Miettinen, Pauli
author_facet Karjalainen, Maiju
Miettinen, Pauli
contents Pattern set mining, which is the task of finding a good set of patterns instead of all patterns, is a fundamental problem in data mining. Many different definitions of what constitutes a good set have been proposed in recent years. In this paper, we consider the reconstruction error as a proxy measure for the goodness of the set, and concentrate on the adjacent problem of how to find a good set efficiently. We propose a method based on bottom-k hashing for efficiently selecting the set and extend the method for the common case where the patterns might only appear in approximate form in the data. Our approach has applications in tiling databases, Boolean matrix factorization, and redescription mining, among others. We show that our hashing-based approach is significantly faster than the standard greedy algorithm while obtaining almost equally good results in both synthetic and real-world data sets.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08745
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hashing for Fast Pattern Set Selection
Karjalainen, Maiju
Miettinen, Pauli
Databases
Machine Learning
Pattern set mining, which is the task of finding a good set of patterns instead of all patterns, is a fundamental problem in data mining. Many different definitions of what constitutes a good set have been proposed in recent years. In this paper, we consider the reconstruction error as a proxy measure for the goodness of the set, and concentrate on the adjacent problem of how to find a good set efficiently. We propose a method based on bottom-k hashing for efficiently selecting the set and extend the method for the common case where the patterns might only appear in approximate form in the data. Our approach has applications in tiling databases, Boolean matrix factorization, and redescription mining, among others. We show that our hashing-based approach is significantly faster than the standard greedy algorithm while obtaining almost equally good results in both synthetic and real-world data sets.
title Hashing for Fast Pattern Set Selection
topic Databases
Machine Learning
url https://arxiv.org/abs/2507.08745