English

Computational Complexity Analysis of Simple Genetic Programming On Two Problems Modeling Isolated Program Semantics

Neural and Evolutionary Computing 2010-11-16 v2 Computational Complexity Data Structures and Algorithms

Abstract

Analyzing the computational complexity of evolutionary algorithms for binary search spaces has significantly increased their theoretical understanding. With this paper, we start the computational complexity analysis of genetic programming. We set up several simplified genetic programming algorithms and analyze them on two separable model problems, ORDER and MAJORITY, each of which captures an important facet of typical genetic programming problems. Both analyses give first rigorous insights on aspects of genetic programming design, highlighting in particular the impact of accepting or rejecting neutral moves and the importance of a local mutation operator.

Keywords

Cite

@article{arxiv.1007.4636,
  title  = {Computational Complexity Analysis of Simple Genetic Programming On Two Problems Modeling Isolated Program Semantics},
  author = {Greg Durrett and Frank Neumann and Una-May O'Reilly},
  journal= {arXiv preprint arXiv:1007.4636},
  year   = {2010}
}

Comments

26 pages

R2 v1 2026-06-21T15:53:25.957Z