Toward a Theory of Evolution Strategies: The (μ, λ)-Theory
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TL;DR
The multimembered evolution strategy acting on parents and offspring is analyzed for real-valued, N-dimensional parameter spaces (N 30) and N-dependent progress rate formulas are derived for (1, ) and (, ) strategies on spherical models.
Abstract
The multimembered evolution strategy (ES) acting on μ parents and λ offspring is analyzed for real-valued, N-dimensional parameter spaces (N ≳ 30). N-dependent progress rate formulas are derived for (1, λ) and (μ, λ) strategies on spherical models. The analytical results obtained are compared with simulation experiments for the (hyper)sphere and the inclined (hyper)plane.