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One of the key difficulties in using estimation-of-distribution algorithms is choosing the population size(s) appropriately: Too small values lead to genetic drift, which can cause enormous difficulties. In the regime with no genetic drift,…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Benjamin Doerr , Weijie Zheng

The majority of research on estimation-of-distribution algorithms (EDAs) concentrates on pseudo-Boolean optimization and permutation problems, leaving the domain of EDAs for problems in which the decision variables can take more than two…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Firas Ben Jedidia , Benjamin Doerr , Martin S. Krejca

We propose a general formulation of a univariate estimation-of-distribution algorithm (EDA). It naturally incorporates the three classic univariate EDAs \emph{compact genetic algorithm}, \emph{univariate marginal distribution algorithm} and…

Neural and Evolutionary Computing · Computer Science 2022-10-07 Benjamin Doerr , Marc Dufay

Estimation of Distribution Algorithms (EDAs) are one branch of Evolutionary Algorithms (EAs) in the broad sense that they evolve a probabilistic model instead of a population. Many existing algorithms fall into this category. Analogous to…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Benjamin Doerr , Weijie Zheng

Estimation-of-distribution algorithms (EDAs) are randomized search heuristics that create a probabilistic model of the solution space, which is updated iteratively, based on the quality of the solutions sampled according to the model. As…

Neural and Evolutionary Computing · Computer Science 2020-12-23 Benjamin Doerr , Martin Krejca

Estimation-of-distribution algorithms (EDAs) are general metaheuristics used in optimization that represent a more recent alternative to classical approaches like evolutionary algorithms. In a nutshell, EDAs typically do not directly evolve…

Neural and Evolutionary Computing · Computer Science 2018-06-15 Martin S. Krejca , Carsten Witt

Compact optimization algorithms are a class of Estimation of Distribution Algorithms (EDAs) characterized by extremely limited memory requirements (hence they are called "compact"). As all EDAs, compact algorithms build and update a…

Artificial Intelligence · Computer Science 2019-04-11 Giovanni Iacca , Fabio Caraffini

Population-based evolutionary algorithms (EAs) have been widely applied to solve various optimization problems. The question of how the performance of a population-based EA depends on the population size arises naturally. The performance of…

Neural and Evolutionary Computing · Computer Science 2013-05-13 Jun He , Tianshi Chen , Boris Mitavskiy

Estimation of Distribution Algorithms (EDAs) and Innovation Method are recognized methods for solving global optimization problems and for the estimation of parameters in diffusion processes, respectively. Well known is also that the…

Numerical Analysis · Mathematics 2018-04-10 Zochil González Arenas , Juan Carlos Jimenez , Li-Vang Lozada-Chang , Roberto Santana

Estimation of distribution algorithms (EDA) are stochastic optimization algorithms. EDA establishes a probability model to describe the distribution of solution from the perspective of population macroscopically by statistical learning…

Neural and Evolutionary Computing · Computer Science 2020-03-19 Zhenyu Liang , Yunfan Li , Zhongwei Wan

Unlike traditional evolutionary algorithms which produce offspring via genetic operators, Estimation of Distribution Algorithms (EDAs) sample solutions from probabilistic models which are learned from selected individuals. It is hoped that…

Neural and Evolutionary Computing · Computer Science 2018-02-05 Per Kristian Lehre , Phan Trung Hai Nguyen

This paper aims to study how the population size affects the computation time of evolutionary algorithms in a rigorous way. The computation time of an evolutionary algorithm can be measured by either the expected number of generations…

Neural and Evolutionary Computing · Computer Science 2016-06-15 Jun He , Xin Yao

In their recent work, Lehre and Nguyen (FOGA 2019) show that the univariate marginal distribution algorithm (UMDA) needs time exponential in the parent populations size to optimize the DeceptiveLeadingBlocks (DLB) problem. They conclude…

Neural and Evolutionary Computing · Computer Science 2022-04-28 Benjamin Doerr , Martin S. Krejca

A class of metaheuristic techniques called estimation-of-distribution algorithms (EDAs) are employed in optimization as more sophisticated substitutes for traditional strategies like evolutionary algorithms. EDAs generally drive the search…

Neural and Evolutionary Computing · Computer Science 2024-04-18 Sumit Adak , Carsten Witt

Understanding how the time-complexity of evolutionary algorithms (EAs) depend on their parameter settings and characteristics of fitness landscapes is a fundamental problem in evolutionary computation. Most rigorous results were derived…

Neural and Evolutionary Computing · Computer Science 2016-10-28 Dogan Corus , Duc-Cuong Dang , Anton V. Eremeev , Per Kristian Lehre

Finding a large set of optima in a multimodal optimization landscape is a challenging task. Classical population-based evolutionary algorithms typically converge only to a single solution. While this can be counteracted by applying niching…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Benjamin Doerr , Martin S. Krejca

The compact genetic algorithm (cGA) is one of the simplest estimation-of-distribution algorithms (EDAs). Next to the univariate marginal distribution algorithm (UMDA) -- another simple EDA -- , the cGA has been subject to extensive…

Neural and Evolutionary Computing · Computer Science 2026-03-04 Marcel Chwiałkowski , Benjamin Doerr , Martin S. Krejca

As a typical model-based evolutionary algorithm (EA), estimation of distribution algorithm (EDA) possesses unique characteristics and has been widely applied to global optimization. However, the common-used Gaussian EDA (GEDA) usually…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Yongsheng Liang , Zhigang Ren , Xianghua Yao , Zuren Feng , An Chen

Estimation of Distribution Algorithms (EDAs) are stochastic heuristics that search for optimal solutions by learning and sampling from probabilistic models. Despite their popularity in real-world applications, there is little rigorous…

Neural and Evolutionary Computing · Computer Science 2018-07-27 Duc-Cuong Dang , Per Kristian Lehre , Phan Trung Hai Nguyen

With elementary means, we prove a stronger run time guarantee for the univariate marginal distribution algorithm (UMDA) optimizing the LeadingOnes benchmark function in the desirable regime with low genetic drift. If the population size is…

Neural and Evolutionary Computing · Computer Science 2020-04-13 Benjamin Doerr , Martin Krejca
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