Probabilistic beam search for the longest common subsequence problem

  • Authors:
  • Christian Blum;Maria J. Blesa

  • Affiliations:
  • ALBCOM, Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Barcelona, Spain;ALBCOM, Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Barcelona, Spain

  • Venue:
  • SLS'07 Proceedings of the 2007 international conference on Engineering stochastic local search algorithms: designing, implementing and analyzing effective heuristics
  • Year:
  • 2007

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Abstract

Finding the common part of a set of strings has many important applications, for example, in pattern recognition or computational biology. In computer science, this problem is known as the longest common subsequence problem. In this work we present a probabilistic beam search approach to solve this classical problem. To our knowledge, this algorithm is the first stochastic local search algorithm proposed for this problem. The results show the great potential of our algorithm when compared to existing heuristic methods.