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Several test function suites are being used for numerical benchmarking of multiobjective optimization algorithms. While they have some desirable properties, like well-understood Pareto sets and Pareto fronts of various shapes, most of the…

Artificial Intelligence · Computer Science 2019-01-07 Dimo Brockhoff , Tea Tusar , Anne Auger , Nikolaus Hansen

Benchmark problems play a central role in assessing the performance of numerical optimization algorithms. However, many existing constrained multiobjective optimization benchmark problems rely on overly restricted constructions or lack…

Optimization and Control · Mathematics 2026-04-13 Anne Auger , Dimo Brockhoff , Luka Opravš , Tea Tušar

Solving many-objective problems (MaOPs) is still a significant challenge in the multi-objective optimization (MOO) field. One way to measure algorithm performance is through the use of benchmark functions (also called test functions or test…

Neural and Evolutionary Computing · Computer Science 2020-02-13 Ivan Reinaldo Meneghini , Marcos Antonio Alves , António Gaspar-Cunha , Frederico Gadelha Guimarães

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

The landscapes of real-world optimization problems can vary strongly depending on the application. In engineering design optimization, objective functions and constraints are often derived from governing equations, resulting in moderate…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Nobuo Namura

Although synthetic test problems are widely used for the performance assessment of evolutionary multi-objective optimization algorithms, they are likely to include unrealistic properties which may lead to overestimation/underestimation. To…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Ryoji Tanabe , Hisao Ishibuchi

Benchmarking optimization algorithms is fundamental for the advancement of computational intelligence. However, widely adopted artificial test suites exhibit limited correspondence with the diversity and complexity of real-world engineering…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Stefan Ivić , Siniša Družeta , Luka Grbčić

This work proposes a novel multi-objective optimization approach that globally finds a representative non-inferior set of solutions, also known as Pareto-optimal solutions, by automatically formulating and solving a sequence of weighted sum…

Optimization and Control · Mathematics 2023-12-11 Marcos M. Raimundo , Paulo A. V. Ferreira , Fernando J. Von Zuben

This work proposes a novel multi-objective optimization approach that globally finds a representative non-inferior set of solutions, also known as Pareto-optimal solutions, by automatically formulating and solving a sequence of weighted sum…

Optimization and Control · Mathematics 2023-12-11 Marcos M. Raimundo , Fernando J. Von Zuben

Benchmarking is essential for developing and evaluating black-box optimization algorithms, providing a structured means to analyze their search behavior. Its effectiveness relies on carefully selected problem sets used for evaluation. To…

Neural and Evolutionary Computing · Computer Science 2025-11-17 Iván Olarte Rodríguez , Maria Laura Santoni , Fabian Duddeck , Carola Doerr , Thomas Bäck , Elena Raponi

Choosing a set of benchmark problems is often a key component of any empirical evaluation of iterative optimization heuristics. In continuous, single-objective optimization, several sets of problems have become widespread, including the…

Neural and Evolutionary Computing · Computer Science 2023-12-19 Diederick Vermetten , Furong Ye , Thomas Bäck , Carola Doerr

We present Bencher, a modular benchmarking framework for black-box optimization that fundamentally decouples benchmark execution from optimization logic. Unlike prior suites that focus on combining many benchmarks in a single project,…

Machine Learning · Computer Science 2025-05-28 Leonard Papenmeier , Luigi Nardi

In multi-objective optimization, designing good benchmark problems is an important issue for improving solvers. Controlling the global location of Pareto optima in existing benchmark problems has been problematic, and it is even more…

Optimization and Control · Mathematics 2024-02-13 Ryosuke Ota , Reiya Hagiwara , Naoki Hamada , Likun Liu , Takahiro Yamamoto , Daisuke Sakurai

This document introduces a set of 24 box-constrained numerical global optimization problem instances, systematically constructed using the Generalized Numerical Benchmark Generator (GNBG). These instances cover a broad spectrum of problem…

Optimization and Control · Mathematics 2023-12-13 Amir H. Gandomi , Danial Yazdani , Mohammad Nabi Omidvar , Kalyanmoy Deb

To achieve peak predictive performance, hyperparameter optimization (HPO) is a crucial component of machine learning and its applications. Over the last years, the number of efficient algorithms and tools for HPO grew substantially. At the…

Dynamic multi-objective optimization with a changing number of objectives has recently attracted increasing attention due to its relevance to real-world problems whose evaluation criteria may evolve over time. However, existing benchmark…

Neural and Evolutionary Computing · Computer Science 2026-05-26 Ke Shang , Zhiyun Xiao , Yuxuan Liu , Jianguo Li , Shaojiang Wang , Wei Sun

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

Dealing with multi-objective problems by using generation methods has some interesting advantages since it provides the decision-maker with the complete information about the set of non-dominated points (Pareto front) and a clear overview…

Optimization and Control · Mathematics 2022-09-09 Mariana Mesquita-Cunha , José Rui Figueira , Ana Paula Barbosa-Póvoa

Because the choice and tuning of the optimizer affects the speed, and ultimately the performance of deep learning, there is significant past and recent research in this area. Yet, perhaps surprisingly, there is no generally agreed-upon…

Machine Learning · Computer Science 2019-03-14 Frank Schneider , Lukas Balles , Philipp Hennig

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
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