Noisy optimization is currently receiving increasing popularity for its widespread applications
in engineering optimization problems, where the objective functions are often found to be …

This paper derives a population sizing model for standard Evolution Strategies (ES) in highly
multimodal fitness landscapes with exponentially many local optima. The Rastrigin …

According to a theorem by Astete-Morales, Cauwet, and Teytaud,“simple Evolution
Strategies (ES)” that optimize quadratic functions disturbed by additive Gaussian noise of …

The highly multimodal Rastrigin test function is analyzed by deriving a new aggregated
progress rate measure. It is derived as a function of the residual distance to the optimizer by …

A model is presented that allows for the calculation of the success probability by which a
vanilla Evolution Strategy converges to the global optimizer of the Rastrigin test function. As …

This paper proposes and analyzes a class of test functions for evolutionary robust
optimization, the" functions with noise-induced multimodality"(FNIMs). After a motivational …

This paper addresses the analysis of covariance matrix self-adaptive Evolution Strategies
(CMSA-ES) on a subclass of quadratic functions subject to additive Gaussian noise: the …

This paper presents an analysis of the performance of the (μ/μ, λ)-ES with isotropically
distributed mutations and cumulative step length adaptation on the noisy parabolic ridge …

A first and second order progress rate analysis was conducted for the intermediate multi-
recombinative Evolution Strategy (μ/μ I, λ)-ES with isotropic scale-invariant mutations on the …

The paper proposes a novel strategy to adapt sample size of population members of a multi-
objective optimization (MOO) problem, where the objective surface is contaminated with …