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We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

计算机与社会 · 计算机科学 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

The randomized extended Kaczmarz and Gauss-Seidel algorithms have attracted much attention because of their ability to treat all types of linear systems (consistent or inconsistent, full rank or rank-deficient). In this paper, we interpret…

数值分析 · 数学 2018-01-11 Kui Du

We consider the effect of network structure on the evolution of a population. Models of this kind typically consider a population of fixed size and distribution. Here we consider eco-evolutionary dynamics where population size and…

种群与进化 · 定量生物学 2023-04-05 Karan Pattni , Wajid Ali , Mark Broom , Kieran J Sharkey

Evolutionary processes proved very useful for solving optimization problems. In this work, we build a formalization of the notion of cooperation and competition of multiple systems working toward a common optimization goal of the population…

神经与进化计算 · 计算机科学 2007-05-23 Mark Burgin , Eugene Eberbach

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

We describe a general-purpose method for finding high-quality solutions to hard optimization problems, inspired by self-organized critical models of co-evolution such as the Bak-Sneppen model. The method, called Extremal Optimization,…

最优化与控制 · 数学 2007-05-23 Stefan Boettcher , Allon G. Percus

We use an elementary argument building on group actions to prove that the selection-free steady state genetic algorithm analyzed by Sutton and Witt (GECCO 2019) takes an expected number of $\Omega(2^n / \sqrt n)$ iterations to find any…

神经与进化计算 · 计算机科学 2021-09-21 Benjamin Doerr

The optimal mixing evolutionary algorithms (OMEAs) have recently drawn much attention for their robustness, small size of required population, and efficiency in terms of number of function evaluations (NFE). In this paper, the performances…

神经与进化计算 · 计算机科学 2018-07-30 Yu-Fan Tung , Tian-Li Yu

This paper presents two different efficiency-enhancement techniques for probabilistic model building genetic algorithms. The first technique proposes the use of a mutation operator which performs local search in the sub-solution…

神经与进化计算 · 计算机科学 2007-05-23 Kumara Sastry , David E. Goldberg , Martin Pelikan

Evolutionary algorithms are popular algorithms for multiobjective optimisation (also called Pareto optimisation) as they use a population to store trade-offs between different objectives. Despite their popularity, the theoretical foundation…

神经与进化计算 · 计算机科学 2023-12-05 Duc-Cuong Dang , Andre Opris , Dirk Sudholt

This manuscript contains an outline of lectures course "Evolutionary Algorithms" read by the author. The course covers Canonic Genetic Algorithm and various other genetic algorithms as well as evolutionary strategies, genetic programming,…

神经与进化计算 · 计算机科学 2022-03-31 Anton V. Eremeev

A genetic algorithm (GA) is a search method that optimises a population of solutions by simulating natural evolution. Good solutions reproduce together to create better candidates. The standard GA assumes that any two solutions can mate.…

神经与进化计算 · 计算机科学 2021-04-12 Aymeric Vie

Randomized search algorithms for hard combinatorial problems exhibit a large variability of performances. We study the different types of rare events which occur in such out-of-equilibrium stochastic processes and we show how they cooperate…

统计力学 · 物理学 2009-11-07 Andrea Montanari , Riccardo Zecchina

Evolving one-dimensional cellular automata (CAs) with genetic algorithms has provided insight into how improved performance on a task requiring global coordination emerges when only local interactions are possible. Two approaches that can…

adap-org · 物理学 2007-05-23 Justin Werfel , Melanie Mitchell , James P. Crutchfield

In this note, we extend an evolutionary stochastic portfolio optimization framework to include probabilistic constraints. Both the stochastic programming-based modeling environment as well as the evolutionary optimization environment are…

投资组合管理 · 定量金融 2014-01-21 Ronald Hochreiter

Multi-tasking optimization can usually achieve better performance than traditional single-tasking optimization through knowledge transfer between tasks. However, current multi-tasking optimization algorithms have some deficiencies. For high…

神经与进化计算 · 计算机科学 2021-08-03 Zhengping Liang , Weiqi Liang , Xiuju Xu , Ling Liu , Zexuan Zhu

Evolutionary algorithms (EAs) are population-based metaheuristics, originally inspired by aspects of natural evolution. Modern varieties incorporate a broad mixture of search mechanisms, and tend to blend inspiration from nature with…

神经与进化计算 · 计算机科学 2018-05-29 David W. Corne , Michael A. Lones

In an evolutionary algorithm, the population has a very important role as its size has direct implications regarding solution quality, speed, and reliability. Theoretical studies have been done in the past to investigate the role of…

神经与进化计算 · 计算机科学 2007-05-23 Fernando G. Lobo , Claudio F. Lima

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…

神经与进化计算 · 计算机科学 2018-10-08 A. Maesani , G. Iacca , D. Floreano

In many real-world optimization problems, the objective function evaluation is subject to noise, and we cannot obtain the exact objective value. Evolutionary algorithms (EAs), a type of general-purpose randomized optimization algorithm,…

神经与进化计算 · 计算机科学 2022-11-29 Chao Qian , Chao Bian , Wu Jiang , Ke Tang