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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

The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

Neural and Evolutionary Computing · Computer Science 2018-10-08 A. Maesani , G. Iacca , D. Floreano

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

This work provides an efficient sampling method for the covariance matrix adaptation evolution strategy (CMA-ES) in large-scale settings. In contract to the Gaussian sampling in CMA-ES, the proposed method generates mutation vectors from a…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Xiaoyu He , Zibin Zheng , Yuren Zhou

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

Various variants of the well known Covariance Matrix Adaptation Evolution Strategy (CMA-ES) have been proposed recently, which improve the empirical performance of the original algorithm by structural modifications. However, in practice it…

Neural and Evolutionary Computing · Computer Science 2018-08-20 Sander van Rijn , Hao Wang , Matthijs van Leeuwen , Thomas Bäck

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

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

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

An evolution strategy (ES) variant based on a simplification of a natural evolution strategy recently attracted attention because it performs surprisingly well in challenging deep reinforcement learning domains. It searches for neural…

Neural and Evolutionary Computing · Computer Science 2018-05-03 Joel Lehman , Jay Chen , Jeff Clune , Kenneth O. Stanley

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

Computer Science and Game Theory · Computer Science 2019-01-18 Sam Ganzfried

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is a popular method to deal with nonconvex and/or stochastic optimization problems when the gradient information is not available. Being based on the CMA-ES, the recently proposed…

Neural and Evolutionary Computing · Computer Science 2017-05-19 Ilya Loshchilov , Tobias Glasmachers , Hans-Georg Beyer

Multiobjective evolutionary algorithms (MOEAs) have been successfully applied to a number of constrained optimization problems. Many of them adopt mutation and crossover operators from differential evolution. However, these operators do not…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Wei Huang , Tao Xu , Kangshun Li , Jun He

This paper introduces a novel competitive mechanism into differential evolution (DE), presenting an effective DE variant named competitive DE (CDE). CDE features a simple yet efficient mutation strategy: DE/winner-to-best/1. Essentially,…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Rui Zhong , Yang Cao , Enzhi Zhang , Masaharu Munetomo

Evolution strategies (ESs) are zeroth-order stochastic black-box optimization heuristics invariant to monotonic transformations of the objective function. They evolve a multivariate normal distribution, from which candidate solutions are…

Numerical Analysis · Mathematics 2022-02-09 Youhei Akimoto , Anne Auger , Tobias Glasmachers , Daiki Morinaga

Constrained optimization problems are often characterized by multiple constraints that, in the practice, must be satisfied with different tolerance levels. While some constraints are hard and as such must be satisfied with zero-tolerance,…

Neural and Evolutionary Computing · Computer Science 2020-12-21 Stefano Fioravanzo , Giovanni Iacca

Designing evolutionary algorithms capable of uncovering highly evolvable representations is an open challenge; such evolvability is important because it accelerates evolution and enables fast adaptation to changing circumstances. This paper…

Neural and Evolutionary Computing · Computer Science 2019-07-16 Alexander Gajewski , Jeff Clune , Kenneth O. Stanley , Joel Lehman

Efficiency of an optimization process is largely determined by the search algorithm and its fundamental characteristics. In a given optimization, a single type of algorithm is used in most applications. In this paper, we will investigate…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang , Suash Deb

Theoretical analyses of evolution strategies are indispensable for gaining a deep understanding of their inner workings. For constrained problems, rather simple problems are of interest in the current research. This work presents a…

Neural and Evolutionary Computing · Computer Science 2019-08-12 Patrick Spettel , Hans-Georg Beyer
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