Stagnation in Evolutionary Algorithms: Convergence $\neq$ Optimality

Fuente: arXiv
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Autore principale: Zhou, Xiaojun
Natura: Preprint
Pubblicazione: 2025
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author Zhou, Xiaojun
author_facet Zhou, Xiaojun
contents In the evolutionary computation community, it is widely believed that stagnation impedes convergence in evolutionary algorithms, and that convergence inherently indicates optimality. However, this perspective is misleading. In this study, it is the first to highlight that the stagnation of an individual can actually facilitate the convergence of the entire population, and convergence does not necessarily imply optimality, not even local optimality. Convergence alone is insufficient to ensure the effectiveness of evolutionary algorithms. Several counterexamples are provided to illustrate this argument.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01036
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stagnation in Evolutionary Algorithms: Convergence $\neq$ Optimality
Zhou, Xiaojun
Machine Learning
Artificial Intelligence
In the evolutionary computation community, it is widely believed that stagnation impedes convergence in evolutionary algorithms, and that convergence inherently indicates optimality. However, this perspective is misleading. In this study, it is the first to highlight that the stagnation of an individual can actually facilitate the convergence of the entire population, and convergence does not necessarily imply optimality, not even local optimality. Convergence alone is insufficient to ensure the effectiveness of evolutionary algorithms. Several counterexamples are provided to illustrate this argument.
title Stagnation in Evolutionary Algorithms: Convergence $\neq$ Optimality
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2505.01036