Succinct summarization of transactional databases: an overlapped hyperrectangle scheme

  • Authors:
  • Yang Xiang;Ruoming Jin;David Fuhry;Feodor F. Dragan

  • Affiliations:
  • Kent State University, Kent, OH, USA;Kent State University, Kent, OH, USA;Kent State University, Kent, OH, USA;Kent State University, Kent, OH, USA

  • Venue:
  • Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
  • Year:
  • 2008

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Abstract

Transactional data are ubiquitous. Several methods, including frequent itemsets mining and co-clustering, have been proposed to analyze transactional databases. In this work, we propose a new research problem to succinctly summarize transactional databases. Solving this problem requires linking the high level structure of the database to a potentially huge number of frequent itemsets. We formulate this problem as a set covering problem using overlapped hyperrectangles; we then prove that this problem and its several variations are NP-hard. We develop an approximation algorithm HYPER which can achieve a ln(k) + 1 approximation ratio in polynomial time. We propose a pruning strategy that can significantly speed up the processing of our algorithm. Additionally, we propose an efficient algorithm to further summarize the set of hyperrectangles by allowing false positive conditions. A detailed study using both real and synthetic datasets shows the effectiveness and efficiency of our approaches in summarizing transactional databases.