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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

Evolutionary algorithms often struggle to find well converged (e.g small inverted generational distance on test problems) solutions to multi-objective optimization problems on a limited budget of function evaluations (here, a few hundred).…

Neural and Evolutionary Computing · Computer Science 2025-04-30 Christopher M. Pierce , Young-Kee Kim , Ivan Bazarov

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Evolutionary algorithms based on modeling the statistical dependencies (interactions) between the variables have been proposed to solve a wide range of complex problems. These algorithms learn and sample probabilistic graphical models able…

Neural and Evolutionary Computing · Computer Science 2015-11-19 Murilo Zangari de Souza , Roberto Santana , Aurora Trinidad Ramirez Pozo , Alexander Mendiburu

NSGA-III is a prominent algorithm in evolutionary many-objective optimization. It is particularly well suited for optimizing problems with more than three objectives, distinguishing it from the classical NSGA-II. However, theoretical…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Andre Opris

Multi-objective evolutionary algorithms (MOEAs) are widely used for searching optimal solutions in complex multi-component applications. Traditional MOEAs for multi-component deep learning (MCDL) systems face challenges in enhancing the…

Neural and Evolutionary Computing · Computer Science 2025-06-12 Haoxiang Tian , Xingshuo Han , Guoquan Wu , An Guo , Yuan Zhou. Jie Zhang , Shuo Li , Jun Wei , Tianwei Zhang

Parallel evolutionary algorithms (PEAs) have been studied for reducing the execution time of evolutionary algorithms by utilizing parallel computing. An asynchronous PEA (APEA) is a scheme of PEAs that increases computational efficiency by…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Tomohiro Harada

In this paper, the monotone submodular maximization problem (SM) is studied. SM is to find a subset of size $\kappa$ from a universe of size $n$ that maximizes a monotone submodular objective function $f$. We show using a novel analysis…

Data Structures and Algorithms · Computer Science 2021-07-07 Victoria G. Crawford

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

In the last years, multi-objective evolutionary algorithms (MOEA) have been applied to different software engineering problems where many conflicting objectives have to be optimized simultaneously. In theory, evolutionary algorithms feature…

Software Engineering · Computer Science 2014-02-19 Donia El Kateb , François Fouquet , Johann Bourcier , Yves Le Traon

Population diversity is crucial in evolutionary algorithms to enable global exploration and to avoid poor performance due to premature convergence. This book chapter reviews runtime analyses that have shown benefits of population diversity,…

Neural and Evolutionary Computing · Computer Science 2018-01-31 Dirk Sudholt

Most of the real-world problems are multimodal in nature that consists of multiple optimum values. Multimodal optimization is defined as the process of finding multiple global and local optima (as opposed to a single solution) of a…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Shatendra Singh , Aruna Tiwari

Decomposition has been the mainstream approach in classic mathematical programming for multi-objective optimization and multi-criterion decision-making. However, it was not properly studied in the context of evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2024-10-23 Ke Li

Constrained multi-objective optimization problems (CMOPs) frequently arise in real-world applications where multiple conflicting objectives must be optimized under complex constraints. Existing dual-population two-stage algorithms have…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhen-Song Chen , Hong-Wei Ding , Xian-Jia Wang , Witold Pedrycz

The non-dominated sorting genetic algorithm~II (NSGA-II) is the most popular multi-objective optimization heuristic. Recent mathematical runtime analyses have detected two shortcomings in discrete search spaces, namely, that the NSGA-II has…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Benjamin Doerr , Tudor Ivan , Martin S. Krejca

Evolutionary algorithms face significant challenges when dealing with dynamic multi-objective optimization because Pareto optimal solutions and/or Pareto optimal fronts change. This paper proposes a unified paradigm, which combines the…

Neural and Evolutionary Computing · Computer Science 2023-12-05 Zhanglu Hou , Juan Zou , Gan Ruan , Yuan Liu , Yizhang Xia

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

Domination-based multi-objective (MO) evolutionary algorithms (EAs) are today arguably the most frequently used type of MOEA. These methods however stagnate when the majority of the population becomes non-dominated, preventing convergence…

Neural and Evolutionary Computing · Computer Science 2020-04-13 S. C. Maree , T. Alderliesten , P. A. N. Bosman

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

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