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The covariance matrix adaptation evolution strategy (CMA-ES) is an efficient continuous black-box optimization method. The CMA-ES possesses many attractive features, including invariance properties and a well-tuned default hyperparameter…

Neural and Evolutionary Computing · Computer Science 2023-05-02 Yohei Watanabe , Kento Uchida , Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

Evolutionary optimization algorithms often face defects and limitations that complicate the evolution processes or even prevent them from reaching the global optimum. A notable constraint pertains to the considerable quantity of function…

Neural and Evolutionary Computing · Computer Science 2025-05-23 Farshid Farhadi Khouzani , Abdolreza Mirzaei , Paul La Plante , Laxmi Gewali

The Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES) is one of the most advanced algorithms in numerical black-box optimization. For noisy objective functions, several approaches were proposed to mitigate the noise, e.g.,…

Neural and Evolutionary Computing · Computer Science 2025-06-04 Catalin-Viorel Dinu , Yash J. Patel , Xavier Bonet-Monroig , Hao Wang

Contextual policy search (CPS) is a class of multi-task reinforcement learning algorithms that is particularly useful for robotic applications. A recent state-of-the-art method is Contextual Covariance Matrix Adaptation Evolution Strategies…

Machine Learning · Computer Science 2019-04-16 Alexander Fabisch

The Increasing Population Covariance Matrix Adaptation Evolution Strategy (IPOP-CMA-ES) algorithm is a reference stochastic optimizer dedicated to blackbox optimization, where no prior knowledge about the underlying problem structure is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 David Redon , Pierre Fortin , Bilel Derbel , Miwako Tsuji , Mitsuhisa Sato

Proportional integral derivative (PID) controllers are important and widely used tools in system control. Tuning of the controller gains is a laborious task, especially for complex systems such as combustion engines. To minimize the time of…

Systems and Control · Computer Science 2017-06-07 Katerina Henclova

Water distribution system design is a challenging optimisation problem with a high number of search dimensions and constraints. In this way, Evolutionary Algorithms (EAs) have been widely applied to optimise WDS to minimise cost subject…

Neural and Evolutionary Computing · Computer Science 2019-09-12 Mehdi Neshat , Bradley Alexander , Angus Simpson

This study modifies the Covariance Matrix Adaptation Evolution Strategy (CMA-ES) algorithm for multi-modal optimization problems. The enhancements focus on addressing the challenges of multiple global minima, improving the algorithm's…

Neural and Evolutionary Computing · Computer Science 2024-07-02 Wathsala Karunarathne , Indu Bala , Dikshit Chauhan , Matthew Roughan , Lewis Mitchell

Despite the state-of-the-art performance of the covariance matrix adaptation evolution strategy (CMA-ES), high-dimensional black-box optimization problems are challenging tasks. Such problems often involve a property called low effective…

Neural and Evolutionary Computing · Computer Science 2024-12-03 Kento Uchida , Teppei Yamaguchi , Shinichi Shirakawa

Recently it was shown by Nesterov (2011) that techniques form convex optimization can be used to successfully accelerate simple derivative-free randomized optimization methods. The appeal of those schemes lies in their low complexity, which…

Optimization and Control · Mathematics 2014-06-13 Sebastian U. Stich

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

Neural and Evolutionary Computing · Computer Science 2023-09-15 Masahiro Nomura , Youhei Akimoto , Isao Ono

Optimum implementation of non-conventional wells allows us to increase considerably hydrocarbon recovery. By considering the high drilling cost and the potential improvement in well productivity, well placement decision is an important…

Computational Engineering, Finance, and Science · Computer Science 2010-11-25 Zyed Bouzarkouna , Didier Yu Ding , Anne Auger

Rather than obtaining a single good solution for a given optimization problem, users often seek alternative design choices, because the best-found solution may perform poorly with respect to additional objectives or constraints that are…

Neural and Evolutionary Computing · Computer Science 2025-08-06 Maria Laura Santoni , Christoph Dürr , Carola Doerr , Mike Preuss , Elena Raponi

Evolution Strategies such as CMA-ES (covariance matrix adaptation evolution strategy) and NES (natural evolution strategy) have been widely used in machine learning applications, where an objective function is optimized without using its…

Optimization and Control · Mathematics 2019-10-28 Haishan Ye , Tong Zhang

In this paper, we propose an efficient approximated rank one update for covariance matrix adaptation evolution strategy (CMA-ES). It makes use of two evolution paths as simple as that of CMA-ES, while avoiding the computational matrix…

Neural and Evolutionary Computing · Computer Science 2017-10-24 Zhenhua Li , Qingfu Zhang

In this study, we consider a continuous min--max optimization problem $\min_{x \in \mathbb{X} \max_{y \in \mathbb{Y}}}f(x,y)$ whose objective function is a black-box. We propose a novel approach to minimize the worst-case objective function…

Neural and Evolutionary Computing · Computer Science 2023-03-29 Atsuhiro Miyagi , Yoshiki Miyauchi , Atsuo Maki , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

The interest in accelerating black-box optimizers has resulted in several surrogate model-assisted version of the Covariance Matrix Adaptation Evolution Strategy, a state-of-the-art continuous black-box optimizer. The version called…

Neural and Evolutionary Computing · Computer Science 2017-10-02 Jakub Repicky , Lukas Bajer , Zbynek Pitra , Martin Holena

We combine a refined version of two-point step-size adaptation with the covariance matrix adaptation evolution strategy (CMA-ES). Additionally, we suggest polished formulae for the learning rate of the covariance matrix and the…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Nikolaus Hansen

In this paper we investigate the convergence properties of a variant of the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). Our study is based on the recent theoretical foundation that the pure rank-mu update CMA-ES performs the…

Artificial Intelligence · Computer Science 2017-06-20 Youhei Akimoto

In several real-world applications in medical and control engineering, there are unsafe solutions whose evaluations involve inherent risk. This optimization setting is known as safe optimization and formulated as a specialized type of…

Neural and Evolutionary Computing · Computer Science 2024-05-20 Kento Uchida , Ryoki Hamano , Masahiro Nomura , Shota Saito , Shinichi Shirakawa