Process / pipeline

Evolutionary Strategy (CMA-ES) — Covariance Matrix Adaptation

CMA-ES, short for Covariance Matrix Adaptation Evolution Strategy, is a modern derivative-free optimizer for continuous black-box functions introduced by Hansen and Ostermeier in 2001. It maintains a population of candidate solutions drawn from a multivariate normal distribution and iteratively updates the distribution's mean, step size, and full covariance matrix to steer the search toward better regions of the parameter space. It has become the de-facto standard for continuous black-box optimization and is widely used in neural architecture search and reinforcement-learning policy optimization.

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Sources

  1. Hansen, N. & Ostermeier, A. (2001). Completely Derandomized Self-Adaptation in Evolutionary Strategies. Evolutionary Computation, 9(2), 159-195. DOI: 10.1162/106365601750190398
  2. Hansen, N. (2016). The CMA Evolution Strategy: A Tutorial. arXiv:1604.00772. link

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Referenced by

ScholarGateEvolutionary Strategy (Covariance Matrix Adaptation Evolution Strategy (CMA-ES)). Retrieved 2026-06-04 from https://scholargate.app/en/optimization/evolutionary-strategy