基于云模型的自适应时间序列信息颗粒算法及其相似度测量.
Hailan Chen1, Xuedong Gao2, Qi Wu3
1School of Business, Sichuan Normal University, Chengdu 610101, China.
Entropy (Basel, Switzerland)
|February 26, 2025
概括
本研究介绍了一种基于云模型的新方法,用于时间序列的维度缩小. 适应性信息颗粒算法 (CMAIG) 和相似度测量 (CMAIG_ECM) 提高了对不同数据集的集群性能.
科学领域:
- 数据挖掘 数据挖掘
- 时间序列分析时间序列分析
- 人工智能的人工智能
背景情况:
- 减小尺寸对于有效的时间序列数据挖掘至关重要.
- 现有的方法可能需要对参数进行预先规范,从而限制了适应性.
- 云模型理论提供了一种代表不确定性和模糊性的新方法.
研究的目的:
- 提出一种新的信息颗粒化方法,用于使用云模型理论来减少时间序列的维度.
- 为颗粒时间序列开发相应的相似度测量.
- 在时间序列聚类中评估拟议方法的有效性.
主要方法:
- 基于云模型和预期的信息颗粒有效性指数 (IGV) 已开发出来.
- 提出了时间序列的自适应信息颗粒算法 (CMAIG),将时间序列转换为颗粒表示,而无需预先指定颗粒数.
- 一种新的相似度测量方法 (CMAIG_ECM) 设计用于颗粒式时间序列,集成到层次聚类算法 (CMAIG_ECM_HC) 中.
主要成果:
- 通过将时间序列转换为粒度表示 (正常云),CMAIG算法实现了高效的维度缩小.
- 通过CMAIG_ECM相似度测量,可以有效地捕获颗粒式时间序列之间的关系.
- 在UCR和库存数据集上的实验显示了CMAIG_ECM_HC在各种时间序列形状和趋势上的优越集群性能.
结论:
- 拟议的基于云计算模型的信息颗粒和相似度测量为时间序列维度缩小和集群提供了有效的方法.
- CMAIG_ECM_HC表现出强大的性能,在各种时间序列数据集上表现优于现有方法.
- 这项工作通过提供适应性和高效的颗粒技术来推进时间序列数据挖掘.
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