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Mutation is one of the most important stages of the genetic algorithm because of its impact on the exploration of global optima, and to overcome premature convergence. There are many types of mutation, and the problem lies in selection of…

A key challenge in the application of evolutionary algorithms in practice is the selection of an algorithm instance that best suits the problem at hand. What complicates this decision further is that different algorithms may be best suited…

Neural and Evolutionary Computing · Computer Science 2021-02-15 Furong Ye , Carola Doerr , Thomas Bäck

The 0-1 knapsack problem is a well-known combinatorial optimisation problem. Approximation algorithms have been designed for solving it and they return provably good solutions within polynomial time. On the other hand, genetic algorithms…

Neural and Evolutionary Computing · Computer Science 2014-04-04 Jun He , Feidun He , Hongbin Dong

It is generally accepted that populations are useful for the global exploration of multi-modal optimisation problems. Indeed, several theoretical results are available showing such advantages over single-trajectory search heuristics. In…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Dogan Corus , Pietro S. Oliveto

This work discusses single-objective constrained genetic algorithm with floating-point, integer, binary and permutation representation. Floating-point genetic algorithm tuning with use of test functions is done and leads to a…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Tomasz Tarkowski

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Understanding when evolutionary algorithms are efficient or not, and how they efficiently solve problems, is one of the central research tasks in evolutionary computation. In this work, we make progress in understanding the interplay…

Neural and Evolutionary Computing · Computer Science 2019-04-16 Denis Antipov , Benjamin Doerr , Quentin Yang

Most evolutionary algorithms have multiple parameters and their values drastically affect the performance. Due to the often complicated interplay of the parameters, setting these values right for a particular problem (parameter tuning) is a…

Neural and Evolutionary Computing · Computer Science 2024-10-08 Denis Antipov , Maxim Buzdalov , Benjamin Doerr

We show how the characteristics of the evolutionary algorithm influence the evolvability of candidate solutions, i.e. the propensity of evolving individuals to generate better solutions as a result of genetic variation. More specifically,…

Neural and Evolutionary Computing · Computer Science 2017-12-13 Nicola Milano , Paolo Pagliuca , Stefano Nolfi

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

The choice of crossover and mutation strategies plays a crucial role in the searchability, convergence efficiency and precision of genetic algorithms. In this paper, a novel improved genetic algorithm is proposed by improving the crossover…

Neural and Evolutionary Computing · Computer Science 2022-10-12 Dingming Yang , Zeyu Yu , Hongqiang Yuan , Yanrong Cui

This paper proposes Genetic Algorithm with Border Trades (GAB), a novel modification of the standard genetic algorithm that enhances exploration by incorporating new chromosome patterns in the breeding process. This approach significantly…

Machine Learning · Computer Science 2025-06-27 Qingchuan Lyu

The use of balanced crossover operators in Genetic Algorithms (GA) ensures that the binary strings generated as offsprings have the same Hamming weight of the parents, a constraint which is sought in certain discrete optimization problems.…

Neural and Evolutionary Computing · Computer Science 2020-04-24 Luca Manzoni , Luca Mariot , Eva Tuba

Deep neural network learning can be formulated as a non-convex optimization problem. Existing optimization algorithms, e.g., Adam, can learn the models fast, but may get stuck in local optima easily. In this paper, we introduce a novel…

Machine Learning · Computer Science 2019-03-12 Jiawei Zhang , Fisher B. Gouza

While many optimization problems work with a fixed number of decision variables and thus a fixed-length representation of possible solutions, genetic programming (GP) works on variable-length representations. A naturally occurring problem…

Neural and Evolutionary Computing · Computer Science 2018-06-07 Benjamin Doerr , Timo Kötzing , J. A. Gregor Lagodzinski , Johannes Lengler

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 give a detailed analysis of the cost used by the (1+1)-evolutionary algorithm. The problem has been approached in the evolutionary algorithm literature under various views, formulation and degree of rigor. Our asymptotic approximations…

Probability · Mathematics 2014-09-18 Hsien-Kuei Hwang , Alois Panholzer , Nicolas Rolin , Tsung-Hsi Tsai , Wei-Mei Chen

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

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

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