在一个人口大小模型上,用于优化高度多式模式的拉斯特林功能进化策略
Lisa Schönenberger1, Hans-Georg Beyer1
1Vorarlberg University of Applied Sciences, Research Center Business Informatics, 6850 Dornbirn, Austria.
概括
本研究介绍了一种模型,用于计算汇聚到Rastrigin函数的全球最佳值的进化策略的成功概率. 基于搜索空间维度的可靠收得到人口大小公式.
科学领域:
- 优化算法的优化算法
- 计算智能是一种计算智能.
- 机器学习 机器学习
背景情况:
- 进化策略 (ES) 是一个随机优化算法.
- 拉斯特里金函数是评估全球优化性能的常用基准.
- 确定ES的适当种群大小对于可靠的融合至关重要.
研究的目的:
- 开发一个关于Rastrigin函数的香草演化策略的收成功概率的预测模型.
- 为了获得一个人口大小缩放公式,以确保高收性安全性.
- 分析搜索空间维度对ES性能的影响.
主要方法:
- 开发了一个数学模型来分析进化策略的趋同概率.
- 该模型特别针对Rastrigin测试函数.
- 调查了与搜索空间维度相关的人口规模缩放.
主要成果:
- 建立了一种方法来计算ES趋同到Rastrigin全球最佳的成功概率.
- 我们得出了一个人口规模缩放公式.
- 该公式可以估计所需的种群大小,以保证融合安全.
结论:
- 提出的模型为理解ES在具有挑战性的多式联运功能上的融合提供了理论基础.
- 衍生种群大小公式是实践人员设定适当种群大小的实用工具.
- 这项工作有助于在高维优化问题中可靠地应用进化策略.
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