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In the field of evolutionary computation, one of the most challenging topics is algorithm selection. Knowing which heuristics to use for which optimization problem is key to obtaining high-quality solutions. We aim to extend this research…

Neural and Evolutionary Computing · Computer Science 2019-04-17 Diederick Vermetten , Sander van Rijn , Thomas Bäck , Carola Doerr

The covariance matrix adaptation evolution strategy (CMA-ES) is one of the most successful methods for solving continuous black-box optimization problems. A practically useful aspect of the CMA-ES is that it can be used without…

Neural and Evolutionary Computing · Computer Science 2024-09-30 Masahiro Nomura , Youhei Akimoto , Isao Ono

In typical black-box optimization applications, the available computational budget is often allocated to a single algorithm, typically chosen based on user preference with limited knowledge about the problem at hand or according to some…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Catalin-Viorel Dinu , Diederick Vermetten , Carola Doerr

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

Optimization and Control · Mathematics 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

To guide the design of better iterative optimisation heuristics, it is imperative to understand how inherent structural biases within algorithm components affect the performance on a wide variety of search landscapes. This study explores…

Neural and Evolutionary Computing · Computer Science 2024-04-29 Niki van Stein , Sarah L. Thomson , Anna V. Kononova

One of the most challenging problems in evolutionary computation is to select from its family of diverse solvers one that performs well on a given problem. This algorithm selection problem is complicated by the fact that different phases of…

Neural and Evolutionary Computing · Computer Science 2020-06-12 Diederick Vermetten , Hao Wang , Carola Doerr , Thomas Bäck

This study targets the mixed-integer black-box optimization (MI-BBO) problem where continuous and integer variables should be optimized simultaneously. The CMA-ES, our focus in this study, is a population-based stochastic search method that…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

The performance of automated algorithm selection (AAS) strongly depends on the portfolio of algorithms to choose from. Selecting the portfolio is a non-trivial task that requires balancing the trade-off between the higher flexibility of…

In the post-Moore era, main performance gains of black-box optimizers are increasingly depending on parallelism, especially for large-scale optimization (LSO). Here we propose to parallelize the well-established covariance matrix adaptation…

Neural and Evolutionary Computing · Computer Science 2024-10-14 Qiqi Duan , Chang Shao , Guochen Zhou , Minghan Zhang , Qi Zhao , Yuhui Shi

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

Neural and Evolutionary Computing · Computer Science 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Bilevel optimization is a field of significant theoretical and practical interest, yet solving such optimization problems remains challenging. Evolutionary methods have been employed to address these problems in the black-box setting;…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Marc Ong , Youhei Akimoto

One key challenge in optimization is the selection of a suitable set of benchmark problems. A common goal is to find functions which are representative of a class of real-world optimization problems in order to ensure findings on the…

Neural and Evolutionary Computing · Computer Science 2025-05-15 Diederick Vermetten , Catalin-Viorel Dinu , Marcus Gallagher

The great amount of datasets generated by various data sources have posed the challenge to machine learning algorithm selection and hyperparameter configuration. For a specific machine learning task, it usually takes domain experts plenty…

Machine Learning · Computer Science 2020-07-08 Tianyu Mu , Hongzhi Wang , Chunnan Wang , Zheng Liang

Model merging has emerged as a cost-effective alternative to training large language models (LLMs) from scratch, enabling researchers to combine pre-trained models into more capable systems without full retraining. Evolutionary approaches…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Md. Robiul Islam Niloy

In this study, we consider simulation-based worst-case optimization problems with continuous design variables and a finite scenario set. To reduce the number of simulations required and increase the number of restarts for better local…

Neural and Evolutionary Computing · Computer Science 2022-12-01 Atsuhiro Miyagi , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

This paper addresses the development of a covariance matrix self-adaptation evolution strategy (CMSA-ES) for solving optimization problems with linear constraints. The proposed algorithm is referred to as Linear Constraint CMSA-ES…

Neural and Evolutionary Computing · Computer Science 2018-09-24 Patrick Spettel , Hans-Georg Beyer , Michael Hellwig

Black-box optimization is a very active area of research, with many new algorithms being developed every year. This variety is needed, on the one hand, since different algorithms are most suitable for different types of optimization…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Anja Jankovic , Tome Eftimov , Carola Doerr

We present a novel black box optimization algorithm called Hessian Estimation Evolution Strategy. The algorithm updates the covariance matrix of its sampling distribution by directly estimating the curvature of the objective function. This…

Machine Learning · Computer Science 2020-06-11 Tobias Glasmachers , Oswin Krause

This tutorial introduces the CMA Evolution Strategy (ES), where CMA stands for Covariance Matrix Adaptation. The CMA-ES is a stochastic, or randomized, method for real-parameter (continuous domain) optimization of non-linear, non-convex…

Machine Learning · Computer Science 2023-03-13 Nikolaus Hansen

We propose a multi-objective optimization algorithm aimed at achieving good anytime performance over a wide range of problems. Performance is assessed in terms of the hypervolume metric. The algorithm called HMO-CMA-ES represents a hybrid…

Neural and Evolutionary Computing · Computer Science 2016-05-10 Ilya Loshchilov , Tobias Glasmachers