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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

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 the evolutionary computation research community, the performance of most evolutionary algorithms (EAs) depends strongly on their implemented coordinate system. However, the commonly used coordinate system is fixed and not well suited for…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Zhi-Zhong Liu , Yong Wang , Shengxiang Yang , Ke Tang

The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still,…

Neural and Evolutionary Computing · Computer Science 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

In practical optimisation the dominant characteristics of the problem are often not known prior. Therefore, there is a need to develop general solvers as it is not always possible to tailor a specialised approach to each application. The…

Neural and Evolutionary Computing · Computer Science 2021-04-23 P. A. Grudniewski , A. J. Sobey

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

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

While evolutionary computation is well suited for automatic discovery in engineering, it can also be used to gain insight into how humans and organizations could perform more effectively. Using a real-world problem of innovation search in…

Neural and Evolutionary Computing · Computer Science 2023-07-04 Erkin Bahceci , Riitta Katila , Risto Miikkulainen

We present a new method of blackbox optimization via gradient approximation with the use of structured random orthogonal matrices, providing more accurate estimators than baselines and with provable theoretical guarantees. We show that this…

Machine Learning · Computer Science 2018-06-13 Krzysztof Choromanski , Mark Rowland , Vikas Sindhwani , Richard E. Turner , Adrian Weller

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

Evolutionary algorithms (EAs) are population-based metaheuristics, originally inspired by aspects of natural evolution. Modern varieties incorporate a broad mixture of search mechanisms, and tend to blend inspiration from nature with…

Neural and Evolutionary Computing · Computer Science 2018-05-29 David W. Corne , Michael A. Lones

Parameter adaptation, that is the capability to automatically adjust an algorithm's hyperparameters depending on the problem being faced, is one of the main trends in evolutionary computation applied to numerical optimization. While several…

Neural and Evolutionary Computing · Computer Science 2022-06-30 Michele Tessari , Giovanni Iacca

Evolutionary multi-agent systems (EMASs) are very good at dealing with difficult, multi-dimensional problems, their efficacy was proven theoretically based on analysis of the relevant Markov-Chain based model. Now the research continues on…

Neural and Evolutionary Computing · Computer Science 2022-10-25 Mateusz Godzik , Jacek Dajda , Marek Kisiel-Dorohinicki , Aleksander Byrski , Leszek Rutkowski , Patryk Orzechowski , Joost Wagenaar , Jason H. Moore

The CSA-ES is an Evolution Strategy with Cumulative Step size Adaptation, where the step size is adapted measuring the length of a so-called cumulative path. The cumulative path is a combination of the previous steps realized by the…

Machine Learning · Computer Science 2013-02-19 Alexandre Chotard , Anne Auger , Nikolaus Hansen

Outline of several strategies for using Gaussian processes as surrogate models for the covariance matrix adaptation evolution strategy (CMA-ES).

Neural and Evolutionary Computing · Computer Science 2014-12-01 Lukáš Bajer , Martin Holeňa

We propose a method for evolving solutions that are robust with respect to variations of the environmental conditions (i.e. that can operate effectively in new conditions immediately, without the need to adapt to variations). The obtained…

Neural and Evolutionary Computing · Computer Science 2019-06-19 Paolo Pagliuca , Stefano Nolfi

Recently, optimization has become an emerging tool for neuroscientists to study neural code. In the visual system, neurons respond to images with graded and noisy responses. Image patterns eliciting highest responses are diagnostic of the…

Neural and Evolutionary Computing · Computer Science 2022-04-15 Binxu Wang , Carlos R. Ponce

In this study, we analyze behaviours of the well-known CMA-ES by extracting the time-series features on its dynamic strategy parameters. An extensive experiment was conducted on twelve CMA-ES variants and 24 test problems taken from the…

Neural and Evolutionary Computing · Computer Science 2021-04-19 Jacob de Nobel , Hao Wang , Thomas Bäck

Three state-of-the-art adaptive population control strategies (PCS) are theoretically and empirically investigated for a multi-recombinative, cumulative step-size adaptation Evolution Strategy $(\mu/\mu_I, \lambda)$-CSA-ES. First, scaling…

Neural and Evolutionary Computing · Computer Science 2024-10-02 Amir Omeradzic , Hans-Georg Beyer

The CSA-ES is an Evolution Strategy with Cumulative Step size Adaptation, where the step size is adapted measuring the length of a so-called cumulative path. The cumulative path is a combination of the previous steps realized by the…

Machine Learning · Computer Science 2012-07-02 Alexandre Adrien Chotard , Anne Auger , Nikolaus Hansen