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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

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

We present a novel Natural Evolution Strategy (NES) variant, the Rank-One NES (R1-NES), which uses a low rank approximation of the search distribution covariance matrix. The algorithm allows computation of the natural gradient with cost…

Artificial Intelligence · Computer Science 2011-06-14 Yi Sun , Faustino Gomez , Tom Schaul , Juergen Schmidhuber

Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is a highly effective optimization technique. A primary challenge when applying CMA-ES in high dimensionality is sampling from a multivariate normal distribution with an arbitrary…

Neural and Evolutionary Computing · Computer Science 2026-01-05 Jarosław Arabas , Adam Stelmaszczyk , Eryk Warchulski , Dariusz Jagodziński , Rafał Biedrzycki

One of the most challenging types of ill-posedness in global optimization is the presence of insensitivity regions in design parameter space, so the identification of their shape will be crucial, if ill-posedness is irrecoverable. Such…

Neural and Evolutionary Computing · Computer Science 2019-05-20 Jakub Sawicki , Maciej Smołka , Marcin Łoś , Robert Schaefer

Natural evolution strategies are a class of approximate-gradient black-box optimizers that have been successfully used for continuous parameter spaces. In this paper, we derive NES algorithms for discrete parameter spaces and demonstrate…

Neural and Evolutionary Computing · Computer Science 2024-04-02 Ahmad Ayaz Amin

We focus on the challenge of finding a diverse collection of quality solutions on complex continuous domains. While quality diver-sity (QD) algorithms like Novelty Search with Local Competition (NSLC) and MAP-Elites are designed to generate…

Machine Learning · Computer Science 2020-05-08 Matthew C. Fontaine , Julian Togelius , Stefanos Nikolaidis , Amy K. Hoover

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

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

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

In this paper, we propose a new natural evolution strategy for unconstrained black-box function optimization (BBFO) problems and implicitly constrained BBFO problems. BBFO problems are known to be difficult because explicit representations…

Neural and Evolutionary Computing · Computer Science 2021-10-19 Masahiro Nomura , Isao Ono

Since the debut of Evolution Strategies (ES) as a tool for Reinforcement Learning by Salimans et al. 2017, there has been interest in determining the exact relationship between the Evolution Strategies gradient and the gradient of a similar…

Neural and Evolutionary Computing · Computer Science 2020-01-07 John C. Raisbeck , Matthew Allen , Ralph Weissleder , Hyungsoon Im , Hakho Lee

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is widely accepted as a robust derivative-free continuous optimization algorithm for non-linear and non-convex optimization problems. CMA-ES is well known to be almost…

Neural and Evolutionary Computing · Computer Science 2014-06-12 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag , Nikolaus Hansen

Consensus-based optimization (CBO) has established itself as an efficient gradient-free optimization scheme, with attractive mathematical properties, such as mean-field convergence results for non-convex loss functions. In this work, we…

Optimization and Control · Mathematics 2025-07-01 Tim Roith , Leon Bungert , Philipp Wacker

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

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

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

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

This work concerns the evolutionary approaches to distributed stochastic black-box optimization, in which each worker can individually solve an approximation of the problem with nature-inspired algorithms. We propose a distributed evolution…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Xiaoyu He , Zibin Zheng , Chuan Chen , Yuren Zhou , Chuan Luo , Qingwei Lin

With the development of fast and massively parallel evaluations in many domains, Quality-Diversity (QD) algorithms, that already proved promising in a large range of applications, have seen their potential multiplied. However, we have yet…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Manon Flageat , Bryan Lim , Antoine Cully