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Surrogate-assisted evolutionary algorithms (SAEAs) are powerful optimisation tools for computationally expensive problems (CEPs). However, a randomly selected algorithm may fail in solving unknown problems due to no free lunch theorems, and…

Neural and Evolutionary Computing · Computer Science 2019-10-28 Hao Tong , Jialin Liu , Xin Yao

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

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

Machine Learning · Computer Science 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Recent research in Cooperative Coevolution~(CC) have achieved promising progress in solving large-scale global optimization problems. However, existing CC paradigms have a primary limitation in that they require deep expertise for selecting…

Machine Learning · Computer Science 2025-04-25 Hongshu Guo , Wenjie Qiu , Zeyuan Ma , Xinglin Zhang , Jun Zhang , Yue-Jiao Gong

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

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

Machine Learning · Computer Science 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos

Hyperparameter optimization (HPO), formulated as black-box optimization (BBO), is recognized as essential for automation and high performance of machine learning approaches. The CMA-ES is a promising BBO approach with a high degree of…

Machine Learning · Computer Science 2020-12-15 Masahiro Nomura , Shuhei Watanabe , Youhei Akimoto , Yoshihiko Ozaki , Masaki Onishi

In this study, we investigate the problem of min-max continuous optimization in a black-box setting $\min_{x} \max_{y}f(x,y)$. A popular approach updates $x$ and $y$ simultaneously or alternatingly. However, two major limitations have been…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Atsuhiro Miyagi , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

Many state-of-the-art automated machine learning (AutoML) systems use greedy ensemble selection (GES) by Caruana et al. (2004) to ensemble models found during model selection post hoc. Thereby, boosting predictive performance and likely…

Machine Learning · Computer Science 2023-07-04 Lennart Purucker , Joeran Beel

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Surrogate-assisted evolutionary algorithms have been widely developed to solve complex and computationally expensive multi-objective optimization problems in recent years. However, when dealing with high-dimensional optimization problems,…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Guodong Chen , Jiu Jimmy Jiao , Xiaoming Xue , Zhongzheng Wang

Pre-training a diverse set of neural network controllers in simulation has enabled robots to adapt online to damage in robot locomotion tasks. However, finding diverse, high-performing controllers requires expensive network training and…

Robotics · Computer Science 2023-09-19 Bryon Tjanaka , Matthew C. Fontaine , David H. Lee , Aniruddha Kalkar , Stefanos Nikolaidis

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian

Expensive optimization problems (EOPs) are black-box tasks with costly objective evaluations and no gradient access, making the evaluation budget the key bottleneck. Surrogate-assisted evolutionary algorithms (SAEAs) reduce evaluations via…

Neural and Evolutionary Computing · Computer Science 2026-05-06 Ye Lu , Bingdong Li , Aimin Zhou , Hao Hao

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

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

Single-objective optimization algorithms search for the single highest-quality solution with respect to an objective. Quality diversity (QD) optimization algorithms, such as Covariance Matrix Adaptation MAP-Elites (CMA-ME), search for a…

Machine Learning · Computer Science 2023-06-07 Matthew C. Fontaine , Stefanos Nikolaidis

Evolution Strategies (ES) are stochastic derivative-free optimization algorithms whose most prominent representative, the CMA-ES algorithm, is widely used to solve difficult numerical optimization problems. We provide the first rigorous…

Optimization and Control · Mathematics 2022-10-25 Cheikh Touré , Anne Auger , Nikolaus Hansen

We propose a new way to self-adjust the mutation rate in population-based evolutionary algorithms in discrete search spaces. Roughly speaking, it consists of creating half the offspring with a mutation rate that is twice the current…

Neural and Evolutionary Computing · Computer Science 2018-05-28 Benjamin Doerr , Christian Gießen , Carsten Witt , Jing Yang

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Kamrul Hasan Rahi