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Population diversity is crucial in evolutionary algorithms as it helps with global exploration and facilitates the use of crossover. Despite many runtime analyses showing advantages of population diversity, we have no clear picture of how…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Johannes Lengler , Andre Opris , Dirk Sudholt

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

Our theoretical understanding of crossover is limited by our ability to analyze how population diversity evolves. In this study, we provide one of the first rigorous analyses of population diversity and optimization time in a setting where…

Neural and Evolutionary Computing · Computer Science 2024-04-19 Sacha Cerf , Johannes Lengler

Population diversity plays a key role in evolutionary algorithms that enables global exploration and avoids premature convergence. This is especially more crucial in dynamic optimization in which diversity can ensure that the population…

Neural and Evolutionary Computing · Computer Science 2019-10-15 Maryam Hasani-Shoreh , Frank Neumann

The search ability of an Evolutionary Algorithm (EA) depends on the variation among the individuals in the population [3, 4, 8]. Maintaining an optimal level of diversity in the EA population is imperative to ensure that progress of the EA…

Neural and Evolutionary Computing · Computer Science 2015-10-27 Maumita Bhattacharya

The search ability of an Evolutionary Algorithm (EA) depends on the variation among the individuals in the population. Maintaining an optimal level of diversity in the EA population is imperative to ensure that progress of the EA search is…

Neural and Evolutionary Computing · Computer Science 2014-11-18 Maumita Bhattacharya

Real-world optimisation problems are often dynamic. Previously good solutions must be updated or replaced due to changes in objectives and constraints. It is often claimed that evolutionary algorithms are particularly suitable for dynamic…

Neural and Evolutionary Computing · Computer Science 2016-07-13 Duc-Cuong Dang , Thomas Jansen , Per Kristian Lehre

Diversity is an important factor in evolutionary algorithms to prevent premature convergence towards a single local optimum. In order to maintain diversity throughout the process of evolution, various means exist in literature. We analyze…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

Population diversity is essential for avoiding premature convergence in Genetic Algorithms (GAs) and for the effective use of crossover. Yet the dynamics of how diversity emerges in populations are not well understood. We use rigorous…

Neural and Evolutionary Computing · Computer Science 2016-08-11 Duc-Cuong Dang , Tobias Friedrich , Timo Kötzing , Martin S. Krejca , Per Kristian Lehre , Pietro S. Oliveto , Dirk Sudholt , Andrew M. Sutton

Exploration is a key problem in reinforcement learning, since agents can only learn from data they acquire in the environment. With that in mind, maintaining a population of agents is an attractive method, as it allows data be collected…

Machine Learning · Computer Science 2020-10-08 Jack Parker-Holder , Aldo Pacchiano , Krzysztof Choromanski , Stephen Roberts

In Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

Robotics · Computer Science 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette

The evolutionary diversity optimization aims at finding a diverse set of solutions which satisfy some constraint on their fitness. In the context of multi-objective optimization this constraint can require solutions to be Pareto-optimal. In…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Denis Antipov , Aneta Neumann , Frank Neumann

The utilization of populations is one of the most important features of evolutionary algorithms (EAs). There have been many studies analyzing the impact of different population sizes on the performance of EAs. However, most of such studies…

Neural and Evolutionary Computing · Computer Science 2012-08-14 Tianshi Chen , Ke Tang , Guoliang Chen , Xin Yao

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

It is generally accepted that "diversity" is associated with success in evolutionary algorithms. However, diversity is a broad concept that can be measured and defined in a multitude of ways. To date, most evolutionary computation research…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Jose Guadalupe Hernandez , Alexander Lalejini , Emily Dolson

In the real world, there exist a class of optimization problems that multiple (local) optimal solutions in the solution space correspond to a single point in the objective space. In this paper, we theoretically show that for such multimodal…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shengjie Ren , Zhijia Qiu , Chao Bian , Miqing Li , Chao Qian

Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

Pareto optimization using evolutionary multi-objective algorithms has been widely applied to solve constrained submodular optimization problems. A crucial factor determining the runtime of the used evolutionary algorithms to obtain good…

Neural and Evolutionary Computing · Computer Science 2023-05-15 Frank Neumann , Carsten Witt

Diversity plays a crucial role in evolutionary computation. While diversity has been mainly used to prevent the population of an evolutionary algorithm from premature convergence, the use of evolutionary algorithms to obtain a diverse set…

Neural and Evolutionary Computing · Computer Science 2018-02-16 Aneta Neumann , Wanru Gao , Carola Doerr , Frank Neumann , Markus Wagner

Diversification in a set of solutions has become a hot research topic in the evolutionary computation community. It has been proven beneficial for optimisation problems in several ways, such as computing a diverse set of high-quality…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Amirhossein Moosavi , Aneta Neumann , Frank Neumann
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