The Simple Genetic Algorithm and the Walsh Transform: Part II, The Inverse

@article{Vose1998TheSG,
  title={The Simple Genetic Algorithm and the Walsh Transform: Part II, The Inverse},
  author={Michael D. Vose and Alden H. Wright},
  journal={Evolutionary Computation},
  year={1998},
  volume={6},
  pages={275-289}
}
This paper continues the development, begun in Part I, of the relationship between the simple genetic algorithm and the Walsh transform. The mixing scheme (comprised of crossover and mutation) is essentially triangularized when expressed in terms of the Walsh basis. This leads to a formulation of the inverse of the expected next generation operator. The fixed points of the mixing scheme are also determined, and a formula is obtained giving the fixed point corresponding to any starting… CONTINUE READING
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