The Kantorovich Metric in Computer Science: A Brief Survey

  • Authors:
  • Yuxin Deng;Wenjie Du

  • Affiliations:
  • Shanghai Jiao Tong University, China;Shanghai Normal University, China

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2009

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Abstract

In contrast to its wealth of applications in mathematics, the Kantorovich metric started to be noticed in computer science only in recent years. We give a brief survey of its applications in probabilistic concurrency, image retrieval, data mining, and bioinformatics. This paper highlights the usefulness of the Kantorovich metric as a general mathematical tool for solving various kinds of problems in rather unrelated domains.