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When it comes to solving optimization problems with evolutionary algorithms (EAs) in a reliable and scalable manner, detecting and exploiting linkage information, i.e., dependencies between variables, can be key. In this article, we present…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Arkadiy Dushatskiy , Marco Virgolin , Anton Bouter , Dirk Thierens , Peter A. N. Bosman

Optimal Mixing (OM) is a variation operator that integrates local search with genetic recombination. EAs with OM are capable of state-of-the-art optimization in discrete spaces, offering significant advantages over classic…

Neural and Evolutionary Computing · Computer Science 2025-06-19 Anton Bouter , Dirk Thierens , Peter A. N. Bosman

The Gene-pool Optimal Mixing Evolutionary Algorithm (GOMEA) is a model-based EA framework that has been shown to perform well in several domains, including Genetic Programming (GP). Differently from traditional EAs where variation acts…

Neural and Evolutionary Computing · Computer Science 2021-03-08 Marco Virgolin , Tanja Alderliesten , Cees Witteveen , Peter A. N. Bosman

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

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

Model-Based Evolutionary Algorithms (MBEAs) can be highly scalable by virtue of linkage (or variable interaction) learning. This requires, however, that the linkage model can capture the exploitable structure of a problem. Usually, a single…

Neural and Evolutionary Computing · Computer Science 2022-03-14 Arthur Guijt , Dirk Thierens , Tanja Alderliesten , Peter A. N. Bosman

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. However, theoretical results regarding the $(\mu+\lambda)$ evolutionary algorithm (EA) for combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Min Huang , Pengxiang Chen , Han Huang , Tongli He , Yushan Zhang , Zhifeng Hao

Genetic Algorithms (GAs) are known for their efficiency in solving combinatorial optimization problems, thanks to their ability to explore diverse solution spaces, handle various representations, exploit parallelism, preserve good…

Neural and Evolutionary Computing · Computer Science 2023-09-29 Majid Sohrabi , Amir M. Fathollahi-Fard , Vasilii A. Gromov

Most evolutionary algorithms (EAs) used in practice employ crossover. In contrast, only for few and mostly artificial examples a runtime advantage from crossover could be proven with mathematical means. The most convincing such result shows…

Neural and Evolutionary Computing · Computer Science 2023-02-27 Benjamin Doerr , Aymen Echarghaoui , Mohammed Jamal , Martin S. Krejca

Co-evolutionary algorithms have a wide range of applications, such as in hardware design, evolution of strategies for board games, and patching software bugs. However, these algorithms are poorly understood and applications are often…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Per Kristian Lehre

Evolutionary algorithms (EAs) are a kind of nature-inspired general-purpose optimization algorithm, and have shown empirically good performance in solving various real-word optimization problems. During the past two decades, promising…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian , Yang Yu , Ke Tang , Xin Yao , Zhi-Hua Zhou

The decomposition-based multi-objective evolutionary algorithm (MOEA/D) does not directly optimize a given multi-objective function $f$, but instead optimizes $N + 1$ single-objective subproblems of $f$ in a co-evolutionary manner. It…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Benjamin Doerr , Martin S. Krejca , Noé Weeks

The $(1 + (\lambda,\lambda))$ genetic algorithm is a younger evolutionary algorithm trying to profit also from inferior solutions. Rigorous runtime analyses on unimodal fitness functions showed that it can indeed be faster than classical…

Neural and Evolutionary Computing · Computer Science 2022-06-17 Denis Antipov , Benjamin Doerr , Vitalii Karavaev

Real world constrained multiobjective optimization problems (CMOPs) are prevalent and often come with stringent time-sensitive requirements. However, most contemporary constrained multiobjective evolutionary algorithms (CMOEAs) suffer from…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Weixiong Huang , Rui Wang , Wenhua Li , Sheng Qi , Tianyu Luo , Delong Chen , Tao Zhang , Ling Wang

Evolutionary algorithms (EAs) have emerged as a predominant approach for addressing multi-objective optimization problems. However, the theoretical foundation of multi-objective EAs (MOEAs), particularly the fundamental aspects like running…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Shengjie Ren , Chao Bian , Miqing Li , Chao Qian

In Symbolic Regression (SR), achieving a proper balance between accuracy and interpretability remains a key challenge. The Genetic Programming variant of the Gene-pool Optimal Mixing Evolutionary Algorithm (GP-GOMEA) is of particular…

Neural and Evolutionary Computing · Computer Science 2025-07-08 Joe Harrison , Tanja Alderliesten. Peter A. N. Bosman

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

The Gene-pool Optimal Mixing EA (GOMEA) family of EAs offers a specific means to exploit problem-specific knowledge through linkage learning, i.e., inter-variable dependency detection, expressed using subsets of variables, that should…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Renzo J. Scholman , Tanja Alderliesten , Peter A. N. Bosman

The $(1+(\lambda,\lambda))$ genetic algorithm, first proposed at GECCO 2013, showed a surprisingly good performance on so me optimization problems. The theoretical analysis so far was restricted to the OneMax test function, where this GA…

Neural and Evolutionary Computing · Computer Science 2017-04-17 Maxim Buzdalov , Benjamin Doerr

Linear functions play a key role in the runtime analysis of evolutionary algorithms and studies have provided a wide range of new insights and techniques for analyzing evolutionary computation methods. Motivated by studies on separable…

Neural and Evolutionary Computing · Computer Science 2022-08-12 Frank Neumann , Carsten Witt
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