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Evolutionary algorithms, such as Differential Evolution, excel in solving real-parameter optimization challenges. However, the effectiveness of a single algorithm varies across different problem instances, necessitating considerable efforts…

Neural and Evolutionary Computing · Computer Science 2024-03-08 Hongshu Guo , Yining Ma , Zeyuan Ma , Jiacheng Chen , Xinglin Zhang , Zhiguang Cao , Jun Zhang , Yue-Jiao Gong

We consider a simple setting in neuroevolution where an evolutionary algorithm optimizes the weights and activation functions of a simple artificial neural network. We then define simple example functions to be learned by the network and…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Paul Fischer , Emil Lundt Larsen , Carsten Witt

In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from the study of spatial ecology and amounts to the following…

Analysis of PDEs · Mathematics 2021-05-24 Idriss Mazari , Grégoire Nadin , Yannick Privat

The $(1+(\lambda,\lambda))$ genetic algorithm is a bright example of an evolutionary algorithm which was developed based on the insights from theoretical findings. This algorithm uses crossover, and it was shown to asymptotically outperform…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Anton Bassin , Maxim Buzdalov

Differential evolution (DE) is a well-known type of evolutionary algorithms (EA). Similarly to other EA variants it can suffer from small populations and loose diversity too quickly. This paper presents a new approach to mitigate this…

Neural and Evolutionary Computing · Computer Science 2020-02-10 Jakub M. Tomczak , Ewelina Weglarz-Tomczak , Agoston E. Eiben

In evolutionary algorithms, the fitness of a population increases with time by mutating and recombining individuals and by a biased selection of more fit individuals. The right selection pressure is critical in ensuring sufficient…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Marcus Hutter , Shane Legg

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

Under Frequency Fitness Assignment (FFA), the fitness corresponding to an objective value is its encounter frequency in fitness assignment steps and is subject to minimization. FFA renders optimization processes invariant under bijective…

Neural and Evolutionary Computing · Computer Science 2020-10-19 Thomas Weise , Zhize Wu , Xinlu Li , Yan Chen

Increasing the batch size is a popular way to speed up neural network training, but beyond some critical batch size, larger batch sizes yield diminishing returns. In this work, we study how the critical batch size changes based on…

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Evolutionary algorithms have been widely used for a range of stochastic optimization problems in order to address complex real-world optimization problems. We consider the knapsack problem where the profits involve uncertainties. Such a…

Neural and Evolutionary Computing · Computer Science 2022-04-13 Aneta Neumann , Yue Xie , Frank Neumann

We investigate the evolution of populations of random Boolean networks under selection for robustness of the dynamics with respect to the perturbation of the state of a node. The fitness landscape contains a huge plateau of maximum fitness…

Populations and Evolution · Quantitative Biology 2009-11-13 Tamara Mihaljev , Barbara Drossel

Evolutionary algorithms (EAs) have found many successful real-world applications, where the optimization problems are often subject to a wide range of uncertainties. To understand the practical behaviors of EAs theoretically, there are a…

Computational Complexity · Computer Science 2022-12-07 Chao Bian , Chao Qian , Ke Tang , Yang Yu

Bayesian optimization has become a successful tool for hyperparameter optimization of machine learning algorithms, such as support vector machines or deep neural networks. Despite its success, for large datasets, training and validating a…

Machine Learning · Computer Science 2017-03-08 Aaron Klein , Stefan Falkner , Simon Bartels , Philipp Hennig , Frank Hutter

The ability to track the optimum of dynamic environments is important in many practical applications. In this paper, the capability of a hybrid genetic algorithm (HGA) to track the optimum in some dynamic environments is investigated for…

Neural and Evolutionary Computing · Computer Science 2013-08-27 Quan Yuan , Zhixin Yang

Evolutionary algorithms (EAs) are general-purpose problem solvers that usually perform an unbiased search. This is reasonable and desirable in a black-box scenario. For combinatorial optimization problems, often more knowledge about the…

Neural and Evolutionary Computing · Computer Science 2020-04-23 Vahid Roostapour , Jakob Bossek , Frank Neumann

In binary decision-making, individuals often choose either the rare or the common action. In the framework of evolutionary game theory, the best-response update rule can be used to model this dichotomy. Those who prefer the common action…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Azadeh Aghaeeyan , Pouria Ramazi

In conventional deep learning, the number of neurons typically remains fixed during training. However, insights from biology suggest that the human hippocampus undergoes continuous neuron generation and pruning of neurons over the course of…

Machine Learning · Computer Science 2025-07-15 Taigo Sakai , Kazuhiro Hotta

We propose a new, flexible approach for dynamically maintaining successful mutation rates in evolutionary algorithms using $k$-bit flip mutations. The algorithm adds successful mutation rates to an archive of promising rates that are…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Martin S. Krejca , Carsten Witt

Boolean functions are mathematical objects with numerous applications in domains like coding theory, cryptography, and telecommunications. Finding Boolean functions with specific properties is a complex combinatorial optimization problem…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Marko Djurasevic , Domagoj Jakobovic , Luca Mariot , Stjepan Picek