Chapter

Genetic Programming

Volume 6621 of the series Lecture Notes in Computer Science pp 154-165

Statistical Distribution of Generation-to-Success in GP: Application to Model Accumulated Success Probability

  • David F. BarreroAffiliated withDepartamento de Automática, Universidad de Alcalá
  • , Bonifacio CastañoAffiliated withDepartamento de Automática, Universidad de Alcalá
  • , María D. R-MorenoAffiliated withDepartamento de Automática, Universidad de Alcalá
  • , David CamachoAffiliated withDepartamento de Automática, Universidad de Alcalá

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Abstract

Many different metrics have been defined in Genetic Programming. Depending on the experiment requirements and objectives, a collection of measures are selected in order to achieve an understanding of the algorithm behaviour. One of the most common metrics is the accumulated success probability, which evaluates the probability of an algorithm to achieve a solution in a certain generation. We propose a model of accumulated success probability composed by two parts, a binomial distribution that models the total number of success, and a lognormal approximation to the generation-to-success, that models the variation of the success probability with the generation.

Keywords

Generation-to-success success probability measures models performance metrics