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Evolutionary algorithms (EAs) are general-purpose optimisers that come with several parameters like the sizes of parent and offspring populations or the mutation rate. It is well known that the performance of EAs may depend drastically on…

Neural and Evolutionary Computing · Computer Science 2022-10-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

Recent works showed that simple success-based rules for self-adjusting parameters in evolutionary algorithms (EAs) can match or outperform the best fixed parameters on discrete problems. Non-elitism in a (1,$\lambda$) EA combined with a…

Neural and Evolutionary Computing · Computer Science 2022-04-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

Self-adjustment of parameters can significantly improve the performance of evolutionary algorithms. A notable example is the $(1+(\lambda,\lambda))$ genetic algorithm, where the adaptation of the population size helps to achieve the linear…

Neural and Evolutionary Computing · Computer Science 2019-04-17 Anton Bassin , Maxim Buzdalov

While evolutionary algorithms are known to be very successful for a broad range of applications, the algorithm designer is often left with many algorithmic choices, for example, the size of the population, the mutation rates, and the…

Neural and Evolutionary Computing · Computer Science 2015-04-14 Benjamin Doerr , Carola Doerr

We propose a new way to self-adjust the mutation rate in population-based evolutionary algorithms in discrete search spaces. Roughly speaking, it consists of creating half the offspring with a mutation rate that is twice the current…

Neural and Evolutionary Computing · Computer Science 2018-05-28 Benjamin Doerr , Christian Gießen , Carsten Witt , Jing Yang

It is well known that evolutionary algorithms (EAs) achieve peak performance only when their parameters are suitably tuned to the given problem. Even more, it is known that the best parameter values can change during the optimization…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Arina Buzdalova , Carola Doerr , Anna Rodionova

Recent theoretical research has shown that self-adjusting and self-adaptive mechanisms can provably outperform static settings in evolutionary algorithms for binary search spaces. However, the vast majority of these studies focuses on…

Neural and Evolutionary Computing · Computer Science 2020-06-03 Amirhossein Rajabi , Carsten Witt

We analyze the performance of the 2-rate $(1+\lambda)$ Evolutionary Algorithm (EA) with self-adjusting mutation rate control, its 3-rate counterpart, and a $(1+\lambda)$~EA variant using multiplicative update rules on the OneMax problem. We…

Neural and Evolutionary Computing · Computer Science 2019-04-19 Anna Rodionova , Kirill Antonov , Arina Buzdalova , Carola Doerr

We propose and analyze a self-adaptive version of the $(1,\lambda)$ evolutionary algorithm in which the current mutation rate is part of the individual and thus also subject to mutation. A rigorous runtime analysis on the OneMax benchmark…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Benjamin Doerr , Carsten Witt , Jing Yang

A key challenge to make effective use of evolutionary algorithms is to choose appropriate settings for their parameters. However, the appropriate parameter setting generally depends on the structure of the optimisation problem, which is…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Brendan Case , Per Kristian Lehre

We study the $(1:s+1)$ success rule for controlling the population size of the $(1,\lambda)$-EA. It was shown by Hevia Fajardo and Sudholt that this parameter control mechanism can run into problems for large $s$ if the fitness landscape is…

Neural and Evolutionary Computing · Computer Science 2024-01-25 Marc Kaufmann , Maxime Larcher , Johannes Lengler , Xun Zou

We study the $(1,\lambda)$-EA with mutation rate $c/n$ for $c\le 1$, where the population size is adaptively controlled with the $(1:s+1)$-success rule. Recently, Hevia Fajardo and Sudholt have shown that this setup with $c=1$ is efficient…

Neural and Evolutionary Computing · Computer Science 2023-07-13 Marc Kaufmann , Maxime Larcher , Johannes Lengler , Xun Zou

Evolutionary algorithms (EAs) are population-based general-purpose optimization algorithms, and have been successfully applied in various real-world optimization tasks. However, previous theoretical studies often employ EAs with only a…

Neural and Evolutionary Computing · Computer Science 2016-06-13 Chao Qian , Yang Yu , Zhi-Hua Zhou

The runtime of evolutionary algorithms (EAs) depends critically on their parameter settings, which are often problem-specific. Automated schemes for parameter tuning have been developed to alleviate the high costs of manual parameter…

Neural and Evolutionary Computing · Computer Science 2016-06-20 Duc-Cuong Dang , Per Kristian Lehre

Most evolutionary algorithms have parameters, which allow a great flexibility in controlling their behavior and adapting them to new problems. To achieve the best performance, it is often needed to control some of the parameters during…

Neural and Evolutionary Computing · Computer Science 2021-06-07 Maxim Buzdalov , Carola Doerr

Parameter control has succeeded in accelerating the convergence process of evolutionary algorithms. While empirical and theoretical studies have shed light on the behavior of algorithms for single-objective optimization, little is known…

Neural and Evolutionary Computing · Computer Science 2023-05-09 Furong Ye , Frank Neumann , Jacob de Nobel , Aneta Neumann , Thomas Bäck

Despite significant empirical and theoretically supported evidence that non-static parameter choices can be strongly beneficial in evolutionary computation, the question how to best adjust parameter values plays only a marginal role in…

Neural and Evolutionary Computing · Computer Science 2018-03-06 Carola Doerr , Markus Wagner

The OneMax problem, alternatively known as the Hamming distance problem, is often referred to as the "drosophila of evolutionary computation (EC)", because of its high relevance in theoretical and empirical analyses of EC approaches. It is…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Maxim Buzdalov , Carola Doerr

Self-adaptive parameters are increasingly used in the field of Evolutionary Robotics, as they allow key evolutionary rates to vary autonomously in a context-sensitive manner throughout the optimisation process. A significant limitation to…

Neural and Evolutionary Computing · Computer Science 2017-04-04 Gerard David Howard

It is known that the $(1+(\lambda,\lambda))$~Genetic Algorithm (GA) with self-adjusting parameter choices achieves a linear expected optimization time on OneMax if its hyper-parameters are suitably chosen. However, it is not very well…

Neural and Evolutionary Computing · Computer Science 2019-04-10 Nguyen Dang , Carola Doerr
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