A Review of 315 Benchmark and Test Functions for Machine Learning Optimization Algorithms and Metaheuristics with Mathematical and Visual Descriptions

Fuente: arXiv
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Autores principales: Naser, M. Z., al-Bashiti, Mohammad Khaled, Tapeh, Arash Teymori Gharah, Eslamlou, Armin Dadras, Naser, Ahmed, Kodur, Venkatesh, Hawileeh, Rami, Abdalla, Jamal, Khodadadi, Nima, Gandomi, Amir H.
Formato: Preprint
Publicado: 2024
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author Naser, M. Z.
al-Bashiti, Mohammad Khaled
Tapeh, Arash Teymori Gharah
Eslamlou, Armin Dadras
Naser, Ahmed
Kodur, Venkatesh
Hawileeh, Rami
Abdalla, Jamal
Khodadadi, Nima
Gandomi, Amir H.
author_facet Naser, M. Z.
al-Bashiti, Mohammad Khaled
Tapeh, Arash Teymori Gharah
Eslamlou, Armin Dadras
Naser, Ahmed
Kodur, Venkatesh
Hawileeh, Rami
Abdalla, Jamal
Khodadadi, Nima
Gandomi, Amir H.
contents In the rapidly evolving optimization and metaheuristics domains, the efficacy of algorithms is crucially determined by the benchmark (test) functions. While several functions have been developed and derived over the past decades, little information is available on the mathematical and visual description, range of suitability, and applications of many such functions. To bridge this knowledge gap, this review provides an exhaustive survey of more than 300 benchmark functions used in the evaluation of optimization and metaheuristics algorithms. This review first catalogs benchmark and test functions based on their characteristics, complexity, properties, visuals, and domain implications to offer a wide view that aids in selecting appropriate benchmarks for various algorithmic challenges. This review also lists the 25 most commonly used functions in the open literature and proposes two new, highly dimensional, dynamic and challenging functions that could be used for testing new algorithms. Finally, this review identifies gaps in current benchmarking practices and suggests directions for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09581
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Review of 315 Benchmark and Test Functions for Machine Learning Optimization Algorithms and Metaheuristics with Mathematical and Visual Descriptions
Naser, M. Z.
al-Bashiti, Mohammad Khaled
Tapeh, Arash Teymori Gharah
Eslamlou, Armin Dadras
Naser, Ahmed
Kodur, Venkatesh
Hawileeh, Rami
Abdalla, Jamal
Khodadadi, Nima
Gandomi, Amir H.
Machine Learning
Neural and Evolutionary Computing
In the rapidly evolving optimization and metaheuristics domains, the efficacy of algorithms is crucially determined by the benchmark (test) functions. While several functions have been developed and derived over the past decades, little information is available on the mathematical and visual description, range of suitability, and applications of many such functions. To bridge this knowledge gap, this review provides an exhaustive survey of more than 300 benchmark functions used in the evaluation of optimization and metaheuristics algorithms. This review first catalogs benchmark and test functions based on their characteristics, complexity, properties, visuals, and domain implications to offer a wide view that aids in selecting appropriate benchmarks for various algorithmic challenges. This review also lists the 25 most commonly used functions in the open literature and proposes two new, highly dimensional, dynamic and challenging functions that could be used for testing new algorithms. Finally, this review identifies gaps in current benchmarking practices and suggests directions for future research.
title A Review of 315 Benchmark and Test Functions for Machine Learning Optimization Algorithms and Metaheuristics with Mathematical and Visual Descriptions
topic Machine Learning
Neural and Evolutionary Computing
url https://arxiv.org/abs/2406.09581