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This tutorial introduces the CMA Evolution Strategy (ES), where CMA stands Covariance Matrix Adaptation. The CMA-ES is a stochastic, or randomized, for real-parameter (continuous domain) optimization of non-linear, -convex functions. We try to motivate and derive the algorithm from concepts and from requirements of non-linear, non-convex search in domain.
Nikolaus Hansen (Sat,) studied this question.