English

CMA-ES with Two-Point Step-Size Adaptation

Neural and Evolutionary Computing 2008-12-18 v4

Abstract

We combine a refined version of two-point step-size adaptation with the covariance matrix adaptation evolution strategy (CMA-ES). Additionally, we suggest polished formulae for the learning rate of the covariance matrix and the recombination weights. In contrast to cumulative step-size adaptation or to the 1/5-th success rule, the refined two-point adaptation (TPA) does not rely on any internal model of optimality. In contrast to conventional self-adaptation, the TPA will achieve a better target step-size in particular with large populations. The disadvantage of TPA is that it relies on two additional objective function

Keywords

Cite

@article{arxiv.0805.0231,
  title  = {CMA-ES with Two-Point Step-Size Adaptation},
  author = {Nikolaus Hansen},
  journal= {arXiv preprint arXiv:0805.0231},
  year   = {2008}
}
R2 v1 2026-06-21T10:36:50.835Z