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The continuous computational power growth in the last decades has made solving several optimization problems significant to humankind a tractable task; however, tackling some of them remains a challenge due to the overwhelming amount of…

Machine Learning · Computer Science 2023-02-01 Luiz C. F. Ribeiro , Mateus Roder , Gustavo H. de Rosa , Leandro A. Passos , João P. Papa

Metaheuristic algorithms are often nature-inspired, and they are becoming very powerful in solving global optimization problems. More than a dozen of major metaheuristic algorithms have been developed over the last three decades, and there…

Optimization and Control · Mathematics 2011-05-19 Xin-She Yang

Despite the increasing popularity of metaheuristics, many crucially important questions remain unanswered. There are two important issues: theoretical framework and the gap between theory and applications. At the moment, the practice of…

Optimization and Control · Mathematics 2012-11-29 Xin-She Yang

Metaheuristic algorithms are optimization methods that are inspired by real phenomena in nature or the behavior of living beings, e.g., animals, to be used for solving complex problems, as in engineering, energy optimization, health care,…

Neural and Evolutionary Computing · Computer Science 2025-06-16 Ardalan H. Awlla , Tarik A. Rashid , Ronak M. Abdullah

Nature-inspired metaheuristic algorithms are important components of artificial intelligence, and are increasingly used across disciplines to tackle various types of challenging optimization problems. This paper demonstrates the usefulness…

Neural and Evolutionary Computing · Computer Science 2024-08-20 Elvis Han Cui , Zizhao Zhang , Culsome Junwen Chen , Weng Kee Wong

Metaheuristics are general methods that guide application of concrete heuristic(s) to problems that are too hard to solve using exact algorithms. However, even though a growing body of literature has been devoted to their statistical…

Artificial Intelligence · Computer Science 2019-04-02 Miloš Simić

Research on new optimization algorithms is often funded based on the motivation that such algorithms might improve the capabilities to deal with real-world and industrially relevant optimization challenges. Besides a huge variety of…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Ramses Sala , Ralf Müller

Following decades of sustained improvement, metaheuristics are one of the great success stories of optimization research. However, in order for research in metaheuristics to avoid fragmentation and a lack of reproducibility, there is a…

Solving an optimization task in any domain is a very challenging problem, especially when dealing with nonlinear problems and non-convex functions. Many meta-heuristic algorithms are very efficient when solving nonlinear functions. A…

Neural and Evolutionary Computing · Computer Science 2020-07-28 Mona Nasr , Omar Farouk , Ahmed Mohamedeen , Ali Elrafie , Marwan Bedeir , Ali Khaled

Metaheuristic algorithms are currently widely used to solve a variety of optimization problems across various industries. This article discusses the application of a metaheuristic algorithm to optimize the hierarchical architecture of an…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Ruslan Zakirzyanov

Most optimization problems in real life applications are often highly nonlinear. Local optimization algorithms do not give the desired performance. So, only global optimization algorithms should be used to obtain optimal solutions. This…

Neural and Evolutionary Computing · Computer Science 2012-11-28 Mohammed El-Dosuky , Ahmed EL-Bassiouny , Taher Hamza , Magdy Rashad

Feature selection for a given model can be transformed into an optimization task. The essential idea behind it is to find the most suitable subset of features according to some criterion. Nature-inspired optimization can mitigate this…

Neural and Evolutionary Computing · Computer Science 2021-01-15 Gustavo H. de Rosa , João Paulo Papa , Xin-She Yang

The domain of metaheuristic optimization has become vibrant due to a flood of new algorithms using a new nature-inspired metaphor but lacking clear methodological novelty. The Criticism behind the development of these algorithms has reached…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Iztok Fister , Žan Hozjan , Iztok Fister, , Damjan Strnad

Ignoring uncertainty in combinatorial optimization leads to suboptimal decisions in practice. Nevertheless, the focus is often on deterministic combinatorial optimization problems, mainly because they are already challenging enough without…

Optimization and Control · Mathematics 2024-08-13 Joost Berkhout

Swarm intelligence and bio-inspired algorithms form a hot topic in the developments of new algorithms inspired by nature. These nature-inspired metaheuristic algorithms can be based on swarm intelligence, biological systems, physical and…

Neural and Evolutionary Computing · Computer Science 2013-07-17 Iztok Fister , Xin-She Yang , Iztok Fister , Janez Brest , Dušan Fister

While most heuristics studied in heuristic search depend only on the state, some accumulate information during search and thus also depend on the search history. Various existing approaches use such dynamic heuristics in $\mathrm{A}^*$-like…

Artificial Intelligence · Computer Science 2025-12-10 Remo Christen , Florian Pommerening , Clemens Büchner , Malte Helmert

Several Artificial Intelligence based heuristic and metaheuristic algorithms have been developed so far. These algorithms have shown their superiority towards solving complex problems from different domains. However, it is necessary to…

Optimization and Control · Mathematics 2022-12-08 Ishaan R Kale , Anand J Kulkarni , Efren Mezura-Montes

Lack of data on which to perform experimentation is a recurring issue in many areas of research, particularly in machine learning. The inability of most automated data mining techniques to be generalized to all types of data is inherently…

Machine Learning · Computer Science 2024-10-17 Gustavo Assunção , Paulo Menezes

Metaheuristic algorithms are essential for solving complex optimization problems in different fields. However, the difficulty in comparing and rating these algorithms remains due to the wide range of performance metrics and problem…

Neural and Evolutionary Computing · Computer Science 2024-11-28 Evgenia-Maria K. Goula , Dimitris G. Sotiropoulos

We use differential equations based approaches to provide some {\it \textbf{physics}} insights into analyzing the dynamics of popular optimization algorithms in machine learning. In particular, we study gradient descent, proximal gradient…

Machine Learning · Computer Science 2018-10-26 Lin F. Yang , R. Arora , V. Braverman , Tuo Zhao