English

Variance Reduction for Better Sampling in Continuous Domains

Neural and Evolutionary Computing 2020-04-27 v1 Machine Learning Machine Learning

Abstract

Design of experiments, random search, initialization of population-based methods, or sampling inside an epoch of an evolutionary algorithm use a sample drawn according to some probability distribution for approximating the location of an optimum. Recent papers have shown that the optimal search distribution, used for the sampling, might be more peaked around the center of the distribution than the prior distribution modelling our uncertainty about the location of the optimum. We confirm this statement, provide explicit values for this reshaping of the search distribution depending on the population size λ\lambda and the dimension dd, and validate our results experimentally.

Keywords

Cite

@article{arxiv.2004.11687,
  title  = {Variance Reduction for Better Sampling in Continuous Domains},
  author = {Laurent Meunier and Carola Doerr and Jeremy Rapin and Olivier Teytaud},
  journal= {arXiv preprint arXiv:2004.11687},
  year   = {2020}
}
R2 v1 2026-06-23T15:04:30.494Z