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Evolutionary algorithms are bio-inspired algorithms that can easily adapt to changing environments. Recent results in the area of runtime analysis have pointed out that algorithms such as the (1+1)~EA and Global SEMO can efficiently…

Neural and Evolutionary Computing · Computer Science 2022-06-07 Vahid Roostapour , Aneta Neumann , Frank Neumann

This paper extends the runtime analysis of non-elitist evolutionary algorithms (EAs) with fitness-proportionate selection from the simple OneMax function to the linear functions. Not only does our analysis cover a larger class of fitness…

Neural and Evolutionary Computing · Computer Science 2019-08-26 Duc-Cuong Dang , Anton Eremeev , Per Kristian Lehre

This paper looks in detail at how an evolutionary algorithm attempts to solve instances from the multimodal problem generator. The paper shows that in order to consistently reach the global optimum, an evolutionary algorithm requires a…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Fernando G. Lobo , Claudio F. Lima

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

A core feature of evolutionary algorithms is their mutation operator. Recently, much attention has been devoted to the study of mutation operators with dynamic and non-uniform mutation rates. Following up on this line of work, we propose a…

Data Structures and Algorithms · Computer Science 2018-11-22 Tobias Friedrich , Andreas Göbel , Francesco Quinzan , Markus Wagner

Extending previous analyses on function classes like linear functions, we analyze how the simple (1+1) evolutionary algorithm optimizes pseudo-Boolean functions that are strictly monotone. Contrary to what one would expect, not all of these…

Neural and Evolutionary Computing · Computer Science 2015-03-17 Benjamin Doerr , Thomas Jansen , Dirk Sudholt , Carola Winzen , Christine Zarges

In this paper we propose a crossover operator for evolutionary algorithms with real values that is based on the statistical theory of population distributions. The operator is based on the theoretical distribution of the values of the genes…

Neural and Evolutionary Computing · Computer Science 2011-09-13 N. García-Pedrajas , C. Hervás-Martínez , D. Ortiz-Boyer

Neural networks (NN) have been recently applied together with evolutionary algorithms (EAs) to solve dynamic optimization problems. The applied NN estimates the position of the next optimum based on the previous time best solutions. After…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Maryam Hasani-Shoreh , Renato Hermoza Aragonés , Frank Neumann

Evolutionary algorithms have been successfully applied to a variety of optimisation problems in stationary environments. However, many real world optimisation problems are set in dynamic environments where the success criteria shifts…

Neural and Evolutionary Computing · Computer Science 2016-10-11 Matthew Hughes

The main goal of diversity optimization is to find a diverse set of solutions which satisfy some lower bound on their fitness. Evolutionary algorithms (EAs) are often used for such tasks, since they are naturally designed to optimize…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Denis Antipov , Aneta Neumann , Frank Neumann

The heavy-tailed mutation operator proposed in Doerr, Le, Makhmara, and Nguyen (GECCO 2017), called \emph{fast mutation} to agree with the previously used language, so far was proven to be advantageous only in mutation-based algorithms.…

Neural and Evolutionary Computing · Computer Science 2022-06-09 Denis Antipov , Maxim Buzdalov , Benjamin 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

We study the dynamics of a population subject to selective pressures, evolving either on RNA neutral networks or in toy fitness landscapes. We discuss the spread and the neutrality of the population in the steady state. Different limits…

Populations and Evolution · Quantitative Biology 2009-11-13 Sumedha , Olivier C Martin , Luca Peliti

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

For genetic algorithms using a bit-string representation of length~$n$, the general recommendation is to take $1/n$ as mutation rate. In this work, we discuss whether this is really justified for multimodal functions. Taking jump functions…

Neural and Evolutionary Computing · Computer Science 2017-03-23 Benjamin Doerr , Huu Phuoc Le , Régis Makhmara , Ta Duy Nguyen

We re-investigate a fundamental question: how effective is crossover in Genetic Algorithms in combining building blocks of good solutions? Although this has been discussed controversially for decades, we are still lacking a rigorous and…

Neural and Evolutionary Computing · Computer Science 2014-11-27 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

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

Population-based learning paradigms, including evolutionary strategies, Population-Based Training (PBT), and recent model-merging methods, combine fast within-model optimisation with slower population-level adaptation. Despite their…

Machine Learning · Computer Science 2026-03-26 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

The practice of evolutionary algorithms involves the tuning of many parameters. How big should the population be? How many generations should the algorithm run? What is the (tournament selection) tournament size? What probabilities should…

Neural and Evolutionary Computing · Computer Science 2018-06-08 Moshe Sipper , Weixuan Fu , Karuna Ahuja , Jason H. Moore