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Evolutionary algorithms have been frequently used for dynamic optimization problems. With this paper, we contribute to the theoretical understanding of this research area. We present the first computational complexity analysis of…

Data Structures and Algorithms · Computer Science 2015-04-27 Frank Neumann , Carsten Witt

Large language models (LLMs) are increasingly used for optimization modeling and solver-code generation, yet practical operations research and optimization problems often require a harder capability: designing scalable algorithms that…

A boundary evolution Algorithm (BEA) is proposed by simultaneously taking into account the bottom and the high-level crossover and mutation, ie., the boundary of the hierarchical genetic algorithm. Operators and optimal individuals based on…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Zhaoyang Ai , Chaodong Fan , Yingjie Zhang , Huigui Rong , Ze'an Tian , Haibing Fu

Genetic algorithms are highly effective optimization techniques for many computationally challenging problems, including combinatorial optimization tasks like portfolio optimization. Quantum computing has also shown potential in addressing…

Emerging Technologies · Computer Science 2025-04-28 Mohammad Kashfi Haghighi , Matthieu Fortin-Deschênes , Christophe Pere , Mickaël Camus

Genetic algorithms have been widely used in many practical optimization problems. Inspired by natural selection, operators, including mutation, crossover and selection, provide effective heuristics for search and black-box optimization.…

Machine Learning · Statistics 2018-03-14 Tanmay Gangwani , Jian Peng

To gain a better theoretical understanding of how evolutionary algorithms (EAs) cope with plateaus of constant fitness, we propose the $n$-dimensional Plateau$_k$ function as natural benchmark and analyze how different variants of the $(1 +…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Denis Antipov , Benjamin Doerr

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Guanghui Huang , Zhifeng Pan

We study mean change point testing problems for high-dimensional data, with exponentially- or polynomially-decaying tails. In each case, depending on the $\ell_0$-norm of the mean change vector, we separately consider dense and sparse…

Statistics Theory · Mathematics 2025-10-14 Mengchu Li , Yudong Chen , Tengyao Wang , Yi Yu

Various studies have shown that characteristic Artificial Immune System (AIS) operators such as hypermutations and ageing can be very efficient at escaping local optima of multimodal optimisation problems. However, this efficiency comes at…

Neural and Evolutionary Computing · Computer Science 2018-06-04 Dogan Corus , Pietro S. Oliveto , Donya Yazdani

To address the challenges of delayed scheduling information, heavy reliance on manual labour, and low operational efficiency in traditional large-scale agricultural machinery operations, this study proposes a method for multi-agricultural…

Neural and Evolutionary Computing · Computer Science 2023-12-08 Haohao Du

Genetic algorithms have been used in recent decades to solve a broad variety of search problems. These algorithms simulate natural selection to explore a parameter space in search of solutions for a broad variety of problems. In this paper,…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Yoshio Martinez , Katya Rodriguez , Carlos Gershenson

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

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

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

Neural and Evolutionary Computing · Computer Science 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen

In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great…

Machine Learning · Computer Science 2024-09-17 Kevin Li , Fulu Li

Multi-objective optimization problems (MOPs) are ubiquitous in real-world applications, presenting a complex challenge of balancing multiple conflicting objectives. Traditional evolutionary algorithms (EAs), though effective, often rely on…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Yuxiao Huang , Shenghao Wu , Wenjie Zhang , Jibin Wu , Liang Feng , Kay Chen Tan

It is an ongoing debate whether and how comma selection in evolutionary algorithms helps to escape local optima. We propose a new benchmark function to investigate the benefits of comma selection: OneMax with randomly planted local optima,…

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

Problems defined on binary decision spaces have been intensively studied in the theory of multi-objective evolutionary algorithms (MOEAs). In contrast, no mathematical runtime analyses exist so far for MOEAs dealing with decision variables…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Mingfeng Li , Zheng Cheng , Weijie Zheng , Benjamin Doerr

State-of-the-art search-based approaches for test case generation work at test case level, where tests are represented as sequences of statements. These approaches make use of genetic operators (i.e., mutation and crossover) that create…

Software Engineering · Computer Science 2021-08-13 Mitchell Olsthoorn , Pouria Derakhshanfar , Annibale Panichella

Recently, a number of mostly $\ell_1$-norm regularized least squares type deterministic algorithms have been proposed to address the problem of \emph{sparse} adaptive signal estimation and system identification. From a Bayesian perspective,…