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Test functions are important to validate and compare the performance of optimization algorithms. There have been many test or benchmark functions reported in the literature; however, there is no standard list or set of benchmark functions.…

Artificial Intelligence · Computer Science 2013-08-20 Momin Jamil , Xin-She Yang

In this study, we use Genetic Programming (GP) to compose new optimization benchmark functions. Optimization benchmarks have the important role of showing the differences between evolutionary algorithms, making it possible for further…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Yifan He , Claus Aranha

The aim of global optimization is to find the global optimum of arbitrary classes of functions, possibly highly multimodal ones. In this paper we focus on the subproblem of global optimization for differentiable functions and we propose an…

Neural and Evolutionary Computing · Computer Science 2018-06-18 Louis Faury , Flavian Vasile , Clément Calauzènes , Olivier Fercoq

Benchmark experiments are required to test, compare, tune, and understand optimization algorithms. Ideally, benchmark problems closely reflect real-world problem behavior. Yet, real-world problems are not always readily available for…

Neural and Evolutionary Computing · Computer Science 2020-08-17 Martin Zaefferer , Frederik Rehbach

In this paper, we present some new unimodal, multimodal, and noise test functions to assess the performance of global optimization algorithms. All the test functions are multidimensional problems. The 2-dimension landscape of the proposed…

Neural and Evolutionary Computing · Computer Science 2022-03-31 Abdesslem Layeb

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

Benchmarks are essential tools for the optimizer's development. Using them, we can check for what kind of problems a given optimizer is effective or not. Since the objective of the Evolutionary Computation field is to support the tools to…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Michal W. Przewozniczek , Bartosz Frej , Marcin M. Komarnicki

The development and identification of effective optimization algorithms for non-convex real-world problems is a challenge in global optimization. Because theoretical performance analysis is difficult, and problems based on models of…

Optimization and Control · Mathematics 2018-07-16 Ramses Sala , Niccolò Baldanzini , Marco Pierini

Within the optimization community, the question of how to generate new optimization problems has been gaining traction in recent years. Within topics such as instance space analysis (ISA), the generation of new problems can provide new…

Neural and Evolutionary Computing · Computer Science 2023-05-25 Fu Xing Long , Diederick Vermetten , Anna V. Kononova , Roman Kalkreuth , Kaifeng Yang , Thomas Bäck , Niki van Stein

Genetic algorithms are heuristic optimization techniques inspired by Darwinian evolution. Quantum computation is a new computational paradigm which exploits quantum resources to speed up information processing tasks. Therefore, it is…

Quantum Physics · Physics 2023-02-20 Rubén Ibarrondo , Giancarlo Gatti , Mikel Sanz

The choice of crossover and mutation strategies plays a crucial role in the searchability, convergence efficiency and precision of genetic algorithms. In this paper, a novel improved genetic algorithm is proposed by improving the crossover…

Neural and Evolutionary Computing · Computer Science 2022-10-12 Dingming Yang , Zeyu Yu , Hongqiang Yuan , Yanrong Cui

This work discusses single-objective constrained genetic algorithm with floating-point, integer, binary and permutation representation. Floating-point genetic algorithm tuning with use of test functions is done and leads to a…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Tomasz Tarkowski

Optimization benchmarks play a fundamental role in assessing algorithm performance; however, existing artificial benchmarks often fail to capture the diversity and irregularity of real-world problem structures, while benchmarks derived from…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Yuhiro Ono , Tomohiro Harada , Yukiya Miura

Benchmarking plays a major role in the development and analysis of optimization algorithms. As such, the way in which the used benchmark problems are defined significantly affects the insights that can be gained from any given benchmark…

Neural and Evolutionary Computing · Computer Science 2023-03-09 Diederick Vermetten , Furong Ye , Carola Doerr

Test functions are important to validate new optimization algorithms and to compare the performance of various algorithms. There are many test functions in the literature, but there is no standard list or set of test functions one has to…

Optimization and Control · Mathematics 2010-08-04 Xin-She Yang

Genetic algorithms are a powerful tool in optimization for single and multi-modal functions. This paper provides an overview of their fundamentals with some analytical examples. In addition, we explore how they can be used as a parameter…

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

As machine learning becomes increasingly central to molecular design, it is vital to ensure the reliability of learnable protein-ligand scoring functions on novel protein targets. While many scoring functions perform well on standard…

Machine Learning · Computer Science 2025-12-08 Jakub Kopko , David Graber , Saltuk Mustafa Eyrilmez , Stanislav Mazurenko , David Bednar , Jiri Sedlar , Josef Sivic

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
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