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Hyperparameters of deep neural networks are often optimized by grid search, random search or Bayesian optimization. As an alternative, we propose to use the Covariance Matrix Adaptation Evolution Strategy (CMA-ES), which is known for its…

神经与进化计算 · 计算机科学 2016-04-26 Ilya Loshchilov , Frank Hutter

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…

神经与进化计算 · 计算机科学 2014-06-12 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag , Nikolaus Hansen

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…

神经与进化计算 · 计算机科学 2026-01-05 Jarosław Arabas , Adam Stelmaszczyk , Eryk Warchulski , Dariusz Jagodziński , Rafał Biedrzycki

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…

神经与进化计算 · 计算机科学 2022-03-25 Xiaoyu He , Zibin Zheng , Yuren Zhou

This tutorial introduces the CMA Evolution Strategy (ES), where CMA stands for Covariance Matrix Adaptation. The CMA-ES is a stochastic, or randomized, method for real-parameter (continuous domain) optimization of non-linear, non-convex…

机器学习 · 计算机科学 2023-03-13 Nikolaus Hansen

In many practical optimization problems, the derivatives of the functions to be optimized are unavailable or unreliable. Such optimization problems are solved using derivative-free optimization techniques. One of the state-of-the-art…

神经与进化计算 · 计算机科学 2018-05-30 Najeeb Khan

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…

神经与进化计算 · 计算机科学 2024-10-14 Qiqi Duan , Chang Shao , Guochen Zhou , Minghan Zhang , Qi Zhao , Yuhui Shi

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is one of the most successful examples of a derandomized evolution strategy. However, it still relies on randomly sampling offspring, which can be done via a uniform distribution…

神经与进化计算 · 计算机科学 2024-09-25 Jacob de Nobel , Diederick Vermetten , Thomas H. W. Bäck , Anna V. Kononova

This paper introduces a novel theoretically sound approach for the celebrated CMA-ES algorithm. Assuming the parameters of the multi variate normal distribution for the minimum follow a conjugate prior distribution, we derive their optimal…

机器学习 · 计算机科学 2019-04-03 Eric Benhamou , David Saltiel , Sebastien Verel , Fabien Teytaud

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…

神经与进化计算 · 计算机科学 2023-05-02 Yohei Watanabe , Kento Uchida , Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

Discrete and mixed-variable optimization problems have appeared in several real-world applications. Most of the research on mixed-variable optimization considers a mixture of integer and continuous variables, and several integer handlings…

最优化与控制 · 数学 2024-08-26 Kento Uchida , Ryoki Hamano , Masahiro Nomura , Shota Saito , Shinichi Shirakawa

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…

神经与进化计算 · 计算机科学 2018-08-20 Sander van Rijn , Hao Wang , Matthijs van Leeuwen , Thomas Bäck

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…

神经与进化计算 · 计算机科学 2017-05-19 Ilya Loshchilov , Tobias Glasmachers , Hans-Georg Beyer

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…

最优化与控制 · 数学 2022-10-25 Cheikh Touré , Anne Auger , Nikolaus Hansen

We introduce an acceleration for covariance matrix adaptation evolution strategies (CMA-ES) by means of adaptive diagonal decoding (dd-CMA). This diagonal acceleration endows the default CMA-ES with the advantages of separable CMA-ES…

神经与进化计算 · 计算机科学 2019-05-16 Youhei Akimoto , 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…

人工智能 · 计算机科学 2017-06-20 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…

神经与进化计算 · 计算机科学 2018-09-24 Patrick Spettel , Hans-Georg Beyer , Michael Hellwig

Bilinear Matrix Inequalities (BMIs) are fundamental to control system design but are notoriously difficult to solve due to their nonconvexity. This study addresses BMI-based control optimization problems by adapting and integrating advanced…

系统与控制 · 电气工程与系统科学 2026-01-14 Syue-Cian Lin , Wei-Yu Chiu , Chien-Feng Wu

Over the past decades, more and more methods gain a giant development due to the development of technology. Evolutionary Algorithms are widely used as a heuristic method. However, the budget of computation increases exponentially when the…

神经与进化计算 · 计算机科学 2021-05-12 Yangjie Mei , Hao Wang

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…

神经与进化计算 · 计算机科学 2024-07-02 Wathsala Karunarathne , Indu Bala , Dikshit Chauhan , Matthew Roughan , Lewis Mitchell
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