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Classification of Sparse Time Series via Supervised Matrix Factorization

机译:通过监督矩阵分解对稀疏时间序列进行分类

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摘要

Data sparsity is an emerging real-world problem observed in a various domains ranging from sensor networks to medical diagnosis. Consecutively, numerous machine learning methods were modeled to treat missing values. Nevertheless, sparsity, denned as missing segments, has not been thoroughly investigated in the context of time-series classification. We propose a novel principle for classifying time series, which in contrast to existing approaches, avoids reconstructing the missing segments in time series and operates solely on the observed ones. Based on the proposed principle, we develop a method that prevents adding noise that incurs during the reconstruction of the original time series. Our method adapts supervised matrix factorization by projecting time series in a latent space through stochastic learning. Furthermore the projected data is built in a supervised fashion via a logistic regression. Abundant experiments on a large collection of 37 data sets demonstrate the superiority of our method, which in the majority of cases outperforms a set of baselines that do not follow our proposed principle.
机译:数据稀疏性是在从传感器网络到医学诊断的各个领域中观察到的一个新兴的现实世界问题。连续地,对许多机器学习方法进行了建模以处理缺失值。但是,稀疏性(被定义为缺失的片段)尚未在时间序列分类的背景下进行彻底研究。我们提出了一种新的时间序列分类原则,与现有方法相反,该原则避免了重建时间序列中丢失的片段,而仅对观察到的片段进行操作。基于提出的原理,我们开发了一种方法,该方法可以防止在原始时间序列的重建过程中产生额外的噪声。我们的方法通过随机学习投影潜在空间中的时间序列,从而适应监督矩阵分解。此外,通过逻辑回归以监督的方式构建投影数据。在大量的37个数据集上进行的大量实验证明了我们方法的优越性,在大多数情况下,该方法的性能优于一组不遵循我们提出的原理的基准。

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