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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.,…

神经与进化计算 · 计算机科学 2025-06-04 Catalin-Viorel Dinu , Yash J. Patel , Xavier Bonet-Monroig , Hao Wang

This paper analyses a $(1,\lambda)$-Evolution Strategy, a randomised comparison-based adaptive search algorithm, on a simple constraint optimisation problem. The algorithm uses resampling to handle the constraint and optimizes a linear…

神经与进化计算 · 计算机科学 2014-12-09 Alexandre Chotard , Anne Auger , Nikolaus Hansen

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

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

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

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

机器学习 · 统计学 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

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…

机器学习 · 计算机科学 2023-07-04 Lennart Purucker , Joeran Beel

Gradient descent is slow to converge for ill-conditioned problems and non-convex problems. An important technique for acceleration is step-size adaptation. The first part of this paper contains a detailed review of step-size adaptation…

机器学习 · 计算机科学 2022-05-27 Hengshuai Yao

Q-learning and SARSA are foundational reinforcement learning algorithms whose practical success depends critically on step-size calibration. Step-sizes that are too large can cause numerical instability, while step-sizes that are too small…

机器学习 · 统计学 2026-01-28 Hwanwoo Kim , Eric Laber

In the context of unconstraint numerical optimization, this paper investigates the global linear convergence of a simple probabilistic derivative-free optimization algorithm (DFO). The algorithm samples a candidate solution from a standard…

数值分析 · 计算机科学 2013-11-01 Anne Auger , Nikolaus Hansen

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

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…

神经与进化计算 · 计算机科学 2017-10-24 Zhenhua Li , Qingfu Zhang

This work presents the first finite-time analysis for the last-iterate convergence of average-reward $Q$-learning with an asynchronous implementation. A key feature of the algorithm we study is the use of adaptive stepsizes, which serve as…

机器学习 · 计算机科学 2026-04-07 Zaiwei Chen , Phalguni Nanda

Stochastic gradient descent is a canonical tool for addressing stochastic optimization problems, and forms the bedrock of modern machine learning and statistics. In this work, we seek to balance the fact that attenuating step-size is…

信号处理 · 电气工程与系统科学 2020-07-10 Zhan Gao , Alec Koppel , Alejandro Ribeiro

Step size in continuous cellular automata (CA) plays an important role in the stability and behavior of self-organizing patterns. Continous CA dynamics are defined by formula very similar to numerical estimation of physics-based ordinary…

元胞自动机与格子气 · 物理学 2022-05-26 Q. Tyrell Davis , Josh Bongard

Several recent publications investigated Markov-chain modelling of linear optimization by a $(1,\lambda)$-ES, considering both unconstrained and linearly constrained optimization, and both constant and varying step size. All of them assume…

数值分析 · 计算机科学 2014-06-19 Alexandre Chotard , Martin Holena

Contextual policy search (CPS) is a class of multi-task reinforcement learning algorithms that is particularly useful for robotic applications. A recent state-of-the-art method is Contextual Covariance Matrix Adaptation Evolution Strategies…

机器学习 · 计算机科学 2019-04-16 Alexander Fabisch

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,…

神经与进化计算 · 计算机科学 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

Experimental robot optimization often requires evaluating each candidate policy for seconds to minutes. The chosen evaluation time influences optimization because of a speed-accuracy tradeoff: shorter evaluations enable faster iteration,…

神经与进化计算 · 计算机科学 2026-01-15 Russell M. Martin , Steven H. Collins

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