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Multivariate Time Series Representation and Similarity Search Using PCA

机译:使用PCA的多元时间序列表示和相似性搜索

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Multivariate time series (MTS) data mining has attracted much interest in recent years due to the increasing number of fields requiring the capability to manage and process large collections of MTS. In those frameworks, carrying out pattern recognition tasks such as similarity search, clustering or classification can be challenging due to the high dimensionality, noise, redundancy and feature correlated characteristics of the data. Dimensionality reduction is consequently often used as a preprocessing step to render the data more manageable. We propose in this paper a novel MTS similarity search approach that addresses these problems through dimensionality reduction and correlation analysis. An important contribution of the proposed technique is a representation allowing to transform the MTS with large number of variables to a univariate signal prior to seeking correlations within the set. The technique relies on unsupervised learning through Principal Component Analysis (PCA) to uncover and use, weights associated with the original input variables, in the univariate derivation. We conduct numerous experiments using various benchmark datasets to study the performance of the proposed technique. Compared to major existing techniques, our results indicate increased accuracy and efficiency. We also show that our technique yields improved similarity search accuracy.
机译:近年来,由于越来越多的字段需要管理和处理MTS集合的能力,因此多元时间序列(MTS)数据挖掘引起了人们的极大兴趣。在那些框架中,由于数据的高维度,噪声,冗余和与特征相关的特性,执行模式识别任务(例如,相似性搜索,聚类或分类)可能具有挑战性。因此,降维通常被用作预处理步骤,以使数据更易于管理。我们在本文中提出了一种新颖的MTS相似性搜索方法,该方法通过降维和相关分析来解决这些问题。所提出的技术的重要贡献是一种表示,该表示允许在寻求集合内的相关性之前将具有大量变量的MTS转换为单变量信号。该技术依赖于通过主成分分析(PCA)进行的无监督学习,以发现和使用单变量推导中与原始输入变量关联的权重。我们使用各种基准数据集进行了大量实验,以研究所提出技术的性能。与主要的现有技术相比,我们的结果表明准确性和效率得到了提高。我们还表明,我们的技术可提高相似性搜索的准确性。

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