Granulation-based fuzzy clustering of large-scale time series

Xiao Wang, Fusheng Yu, Huixin Zhang
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引用次数: 2

Abstract

The clustering of a group of large-scale time series with same length is a challenging problem. Facing with this problem, the existing clustering algorithms usually show high computation cost and low efficiency. In this paper, a granulation-based clustering method is proposed for this problem. In this method, each large-scale time series in the given group is firstly segmented into subsequences (segments or windows) according to some principle, and then in each window a fuzzy information granule is built for the subsequence included. After that, a granular time series corresponding to the processed large-scale time series is obtained. Processing all the original large-scale time series in the given group in same manner will result in a group of granular time series who have good fitness to the original group of time series and are the objects of our new granulation-based clustering method. We regard the clustering result of the group of granular time series as the cluster structure of the original group of large-scale time series. The simulation experiment shows good performance and high efficiency of the new clustering approach in revealing the cluster property of the original group of large-scale time series.
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基于粒度的大尺度时间序列模糊聚类
一组相同长度的大规模时间序列的聚类是一个具有挑战性的问题。面对这一问题,现有的聚类算法通常表现出计算量大、效率低的特点。针对这一问题,本文提出了一种基于粒化的聚类方法。该方法首先按照一定的原则将给定组中的每个大规模时间序列分割成子序列(段或窗口),然后在每个窗口中为所包含的子序列构建一个模糊信息粒。然后,得到与处理后的大尺度时间序列相对应的粒度时间序列。对给定组中的所有原始大尺度时间序列进行相同的处理,将得到一组与原始组时间序列具有良好适应度的颗粒时间序列,这是我们新的基于颗粒的聚类方法的对象。我们将这组粒度时间序列的聚类结果视为原始大尺度时间序列的聚类结构。仿真实验表明,新聚类方法在揭示大尺度时间序列原始组的聚类特性方面具有良好的性能和高效率。
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