English

Exploration and Exploitation in Symbolic Regression using Quality-Diversity and Evolutionary Strategies Algorithms

Neural and Evolutionary Computing 2019-06-11 v1 Machine Learning

Abstract

By combining Genetic Programming, MAP-Elites and Covariance Matrix Adaptation Evolution Strategy, we demonstrate very high success rates in Symbolic Regression problems. MAP-Elites is used to improve exploration while preserving diversity and avoiding premature convergence and bloat. Then, a Covariance Matrix Adaptation-Evolution Strategy is used to evaluate free scalars through a non-gradient-based black-box optimizer. Although this evaluation approach is not computationally scalable to high dimensional problems, our algorithm is able to find exactly most of the 3131 targets extracted from the literature on which we evaluate it.

Keywords

Cite

@article{arxiv.1906.03959,
  title  = {Exploration and Exploitation in Symbolic Regression using Quality-Diversity and Evolutionary Strategies Algorithms},
  author = {J. -P. Bruneton and L. Cazenille and A. Douin and V. Reverdy},
  journal= {arXiv preprint arXiv:1906.03959},
  year   = {2019}
}

Comments

11 pages, 7 figures, 5 tables

R2 v1 2026-06-23T09:48:46.956Z