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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 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…

We present a novel approach for constructing discrete optimization benchmarks that enables fine-grained control over problem properties, and such benchmarks can facilitate analyzing discrete algorithm behaviors. We build benchmark problems…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Furong Ye , Frank Neumann , Thomas Bäck , Niki van Stein

The evaluation of clustering algorithms can involve running them on a variety of benchmark problems, and comparing their outputs to the reference, ground-truth groupings provided by experts. Unfortunately, many research papers and graduate…

Machine Learning · Computer Science 2023-10-27 Marek Gagolewski

Python has emerged as one of the most popular programming languages, extensively utilized in domains such as machine learning, data analysis, and web applications. Python's dynamic nature and extensive usage make it an attractive candidate…

Software Engineering · Computer Science 2024-03-04 Islem Bouzenia , Bajaj Piyush Krishan , Michael Pradel

Performance is a key quality of modern software. Although recent years have seen a spike in research on automated improvement of software's execution time, energy, memory consumption, etc., there is a noticeable lack of standard benchmarks…

Software Engineering · Computer Science 2025-09-09 Aymeric Blot , Justyna Petke

Benchmarks are used for testing new optimization algorithms and their variants to evaluate their performance. Most existing benchmarks are smooth functions. This chapter introduces ten new benchmarks with different properties, including…

Optimization and Control · Mathematics 2023-09-06 Xin-She Yang

Python has become the programming language of choice for research and industry projects related to data science, machine learning, and deep learning. Since optimization is an inherent part of these research fields, more optimization related…

Neural and Evolutionary Computing · Computer Science 2020-05-25 Julian Blank , Kalyanmoy Deb

The evaluation of heuristic optimizers on test problems, better known as \emph{benchmarking}, is a cornerstone of research in multi-objective optimization. However, most test problems used in benchmarking numerical multi-objective black-box…

Optimization and Control · Mathematics 2026-01-26 Lennart Schäpermeier , Pascal Kerschke

We introduce a framework for benchmarking optimizers according to multiple criteria over various test functions. Based on a recently introduced union-free generic depth function for partial orders/rankings, it fully exploits the ordinal…

Machine Learning · Computer Science 2024-09-09 Julian Rodemann , Hannah Blocher

Benchmarking is an important tool for assessing the relative performance of alternative solving approaches. However, the utility of benchmarking is limited by the quantity and quality of the available problem instances. Modern constraint…

Artificial Intelligence · Computer Science 2025-06-11 Nguyen Dang , Özgür Akgün , Joan Espasa , Ian Miguel , Peter Nightingale

Benchmarks are a useful tool for empirical performance comparisons. However, one of the main shortcomings of existing benchmarks is that it remains largely unclear how they relate to real-world problems. What does an algorithm's performance…

Neural and Evolutionary Computing · Computer Science 2020-04-15 Koen van der Blom , Timo M. Deist , Tea Tušar , Mariapia Marchi , Yusuke Nojima , Akira Oyama , Vanessa Volz , Boris Naujoks

In this paper, we tackle a critical challenge in model evaluation: how to keep code benchmarks useful when models might have already seen them during training. We introduce a novel solution, dynamic benchmarking framework, to address this…

Software Engineering · Computer Science 2025-03-11 Batu Guan , Xiao Wu , Yuanyuan Yuan , Shaohua Li

Many platforms for benchmarking optimization algorithms offer users the possibility of sharing their experimental data with the purpose of promoting reproducible and reusable research. However, different platforms use different data models…

Neural and Evolutionary Computing · Computer Science 2021-04-27 Ana Kostovska , Diederick Vermetten , Carola Doerr , Sašo Džeroski , Panče Panov , Tome Eftimov

This paper presents a numerical function optimization framework designed for constrained optimization problems in robotics. The tool is designed with real-time considerations and is suitable for online trajectory and control input…

Robotics · Computer Science 2025-11-11 Sait Sovukluk , Christian Ott

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

As optimization challenges continue to evolve, so too must our tools and understanding. To effectively assess, validate, and compare optimization algorithms, it is crucial to use a benchmark test suite that encompasses a diverse range of…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Amir H. Gandomi , Mohammad Nabi Omidvar , Rohit Salgotra , Kalyanmoy Deb

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

We introduce a Python framework designed to automate the most common tasks associated with the extraction and upscaling of the statistics of single-impact crater functions to inform coefficients of continuum equations describing surface…

Computational Physics · Physics 2014-10-31 Scott A. Norris

This report presents the design of the Scope infrastructure for extensible and portable benchmarking. Improvements in high- performance computing systems rely on coordination across different levels of system abstraction. Developing and…

Performance · Computer Science 2018-09-25 Carl Pearson , Abdul Dakkak , Cheng Li , Sarah Hashash , Jinjun Xiong , Wen-mei Hwu
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