On a population sizing model for evolution strategies in multimodal landscapes

L Schönenberger, HG Beyer - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This paper derives a population sizing model for standard Evolution Strategies (ES) in highly
multimodal fitness landscapes with exponentially many local optima. The Rastrigin …

Self-adaptation via multi-objectivisation: an empirical study

X Qin, PK Lehre - International Conference on Parallel Problem Solving …, 2022 - Springer
Non-elitist evolutionary algorithms (EAs) can be beneficial in optimisation of noisy and or
rugged fitness landscapes. However, this benefit can only be realised if the parameters of …

Convergence Properties of the (μ/μI, λ)-ES on the Rastrigin Function

A Omeradzic, HG Beyer - Proceedings of the 17th ACM/SIGEVO …, 2023 - dl.acm.org
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 …

On a population sizing model for evolution strategies optimizing the highly multimodal rastrigin function

L Schönenberger, HG Beyer - Proceedings of the Genetic and …, 2023 - dl.acm.org
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 …

On the design of constraint covariance matrix self-adaptation evolution strategies including a cardinality constraint

HG Beyer, S Finck - IEEE Transactions on Evolutionary …, 2012 - ieeexplore.ieee.org
This paper describes the algorithm's engineering of a covariance matrix self-adaptation
evolution strategy (CMSA-ES) for solving a mixed linear/nonlinear constrained optimization …

Bias in standard self-adaptive evolution strategies

A Omeradzic, HG Beyer - 2024 IEEE Congress on Evolutionary …, 2024 - ieeexplore.ieee.org
The mutation strength $(\sigma) $ adaptation of a multi-recombinative self-adapting
Evolution Strategy is investigated on the Rastrigin test function by theoretical and …

Evolving artificial neural networks for multi-objective tasks

S Künzel, S Meyer-Nieberg - … , EvoApplications 2018, Parma, Italy, April 4 …, 2018 - Springer
Neuroevolution represents a growing research field in Artificial and Computational
Intelligence. The adjustment of the network weights and the topology is usually based on a …

The dynamics of self-adaptive multirecombinant evolution strategies on the general ellipsoid model

HG Beyer, A Melkozerov - IEEE transactions on evolutionary …, 2013 - ieeexplore.ieee.org
The optimization behavior of the self-adaptation (SA) evolution strategy (ES) with
intermediate multi-recombination [(μ/μ I, λ)-σSA-ES] using isotropic mutations is investigated …

Toward a steady-state analysis of an evolution strategy on a robust optimization problem with noise-induced multimodality

HG Beyer, B Sendhoff - IEEE Transactions on Evolutionary …, 2017 - ieeexplore.ieee.org
A steady state analysis of the optimization quality of a classical self-adaptive evolution
strategy (ES) on a class of robust optimization problems is presented. A novel technique for …

Self-Adaptation of Multi-Recombinant Evolution Strategies on the Highly Multimodal Rastrigin Function

A Omeradzic, HG Beyer - IEEE Transactions on Evolutionary …, 2024 - ieeexplore.ieee.org
The self-adaptive, multi-recombinative (μ/μI, λ)-ES (Evolution Strategy) is investigated on the
highly multimodal Rastrigin test function by theoretical and experimental means. The …