An Information-Theoretic Analysis on the Interactions of Variables in Combinatorial Optimization Problems

  • Authors:
  • Dong-Il Seo;Byung-Ro Moon

  • Affiliations:
  • School of Computer Science & Engineering, Seoul National University, Sillim-dong, Gwanak-gu, Seoul, 151-744 Korea diseo@soar.snu.ac.kr;School of Computer Science & Engineering, Seoul National University, Sillim-dong, Gwanak-gu, Seoul, 151-744 Korea moon@soar.snu.ac.kr

  • Venue:
  • Evolutionary Computation
  • Year:
  • 2007

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Abstract

In optimization problems, the contribution of a variable to fitness often depends on the states of other variables. This phenomenon is referred to as epistasis or linkage. In this paper, we show that a new theory of epistasis can be established on the basis of Shannon's information theory. From this, we derive a new epistasis measure called entropic epistasis and some theoretical results. We also provide experimental results verifying the measure and showing how it can be used for designing efficient evolutionary algorithms.