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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

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

神经与进化计算 · 计算机科学 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

The (1+1)-evolution strategy (ES) with success-based step-size adaptation is analyzed on a general convex quadratic function and its monotone transformation, that is, $f(x) = g((x - x^*)^\mathrm{T} H (x - x^*))$, where…

神经与进化计算 · 计算机科学 2021-04-13 Daiki Morinaga , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

神经与进化计算 · 计算机科学 2013-08-26 Guanghui Huang , Zhifeng Pan

We introduce an evolutionary algorithm called recombinator-$k$-means for optimizing the highly non-convex kmeans problem. Its defining feature is that its crossover step involves all the members of the current generation, stochastically…

机器学习 · 计算机科学 2022-02-10 Carlo Baldassi

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

人工智能 · 计算机科学 2015-09-24 Shayan Poursoltan , Frank Neumann

High-dimensional numerical optimization presents a persistent challenge in computational science. This paper introduces Quasi-Adaptive Search with Asymptotic Reinitialization (QUASAR), an evolutionary algorithm to accelerate convergence in…

最优化与控制 · 数学 2026-02-03 Julian G. Soltes

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

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…

神经与进化计算 · 计算机科学 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

The paper presents a solution for the problem of choosing a method for analytical determining of weight factors for a genetic algorithm additive fitness function. This algorithm is the basis for an evolutionary process, which forms a stable…

神经与进化计算 · 计算机科学 2021-03-30 V. K. Ivanov , D. S. Dumina , N. A. Semenov

The ability to autonomously explore and resolve tasks with minimal human guidance is crucial for the self-development of embodied intelligence. Although reinforcement learning methods can largely ease human effort, it's challenging to…

机器人学 · 计算机科学 2024-12-19 Changxin Huang , Yanbin Chang , Junfan Lin , Junyang Liang , Runhao Zeng , Jianqiang Li

The class of algorithms called Hessian Estimation Evolution Strategies (HE-ESs) update the covariance matrix of their sampling distribution by directly estimating the curvature of the objective function. The approach is practically…

最优化与控制 · 数学 2021-06-16 Tobias Glasmachers , Oswin Krause

We present an analysis of the performance of an elitist Evolutionary algorithm using a recombination operator known as 1-Bit-Swap on the Royal Roads test function based on a population. We derive complete, approximate and asymptotic…

神经与进化计算 · 计算机科学 2011-08-25 Aram Ter-Sarkisov , Stephen Marsland

In evolutionary optimization, it is important to understand how fast evolutionary algorithms converge to the optimum per generation, or their convergence rate. This paper proposes a new measure of the convergence rate, called average…

神经与进化计算 · 计算机科学 2019-11-11 Jun He , Guangming Lin

In the empirical study of evolutionary algorithms, the solution quality is evaluated by either the fitness value or approximation error. The latter measures the fitness difference between an approximation solution and the optimal solution.…

神经与进化计算 · 计算机科学 2018-10-30 Jun He , Yu Chen , Yuren Zhou

In Quality-Diversity (QD) algorithms, which evolve a behaviourally diverse archive of high-performing solutions, the behaviour space is a difficult design choice that should be tailored to the target application. In QD meta-evolution, one…

神经与进化计算 · 计算机科学 2024-01-08 David M. Bossens , Danesh Tarapore

In this paper we propose a novel method for learning how algorithms perform. Classically, algorithms are compared on a finite number of existing (or newly simulated) benchmark datasets based on some fixed metrics. The algorithm(s) with the…

数据结构与算法 · 计算机科学 2019-11-01 Henry Wilde , Vincent Knight , Jonathan Gillard

We propose a gate-based Quantum Genetic Algorithm (QGA) for real-valued global optimization. In this model, individuals are represented by quantum circuits whose measurement outcomes are decoded into real-valued vectors through binary…

量子物理 · 物理学 2025-11-10 Leandro C. Souza , Laurent E. Dardenne , Renato Portugal

Inspired by Fisher's geometric approach to study beneficial mutations, we analyse probabilities of beneficial mutation and crossover recombination of strings in a general Hamming space with arbitrary finite alphabet. Mutations and…

种群与进化 · 定量生物学 2025-06-18 Roman V. Belavkin

Adaptive random search approaches have been shown to be effective for global optimization problems, where under certain conditions, the expected performance time increases only linearly with dimension. However, previous analyses assume that…

最优化与控制 · 数学 2022-03-22 David D. Linz , Zelda B. Zabinsky
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