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Efficient Similarity Search for Time Series Data Based on the Minimum Distance

机译:高效类似性根据最小距离搜索时间序列数据

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We address the problem of efficient similarity search based on the minimum distance in large time series databases. Most of previous work is focused on similarity matching and retrieval of time series based on the Euclidean distance. However, as we demonstrate in this paper, the Euclidean distance has limitations as a similarity measurement. It is sensitive to the absolute offsets of time sequences, so two time sequences that have similar shapes but with different vertical positions may be classified as dissimilar. The minimum distance is a more suitable similarity measurement than the Euclidean distance in many applications, where the shape of time series is a major consideration. To support minimum distance queries, most of previous work has the preprocessing step of vertical shifting that normalizes each time sequence by its mean before indexing. In this paper, we propose a novel and fast indexing scheme, called the segmented mean variation indexing(SMV-indexing). Our indexing scheme can match time series of similar shapes without vertical shifting and guarantees no false dismissals. Several experiments are performed on real data(stock price movement) to measure the performance of our indexing scheme. Experiments show that the SMV-indexing is more efficient than the sequential scanning in performance.
机译:基于大型时间序列数据库中的最小距离,我们解决了有效的相似性搜索问题。以前的大多数工作都专注于基于欧几里德距离的相似性匹配和检索时间序列。然而,正如我们在本文中所证明的那样,欧几里德距离具有限制作为相似性测量。它对时间序列的绝对偏移敏感,因此两个时间序列具有相似的形状,但具有不同的垂直位置可以被归类为不同的。最小距离是比许多应用中的欧几里德距离更合适的相似性测量,其中时间序列的形状是主要的考虑因素。为了支持最小距离查询,最先前的工作中的大多数工作具有垂直移位的预处理步骤,其每次序列通过其索引前的均值标准化。在本文中,我们提出了一种新颖且快速的分度方案,称为分段平均变异指数(SMV索引)。我们的索引方案可以匹配类似形状的时间序列,而无需垂直移位,保证没有虚假的解雇。对实际数据(股票价格运动)进行了几个实验,以衡量索引方案的性能。实验表明,SMV索引比性能中的顺序扫描更有效。

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