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Data Analysis of Non-standard Time Series: The role of graph Laplacians and covariance matrices in data and processes of complex systems.

机译:非标准时间序列的数据分析:图拉普拉斯算子和协方差矩阵在复杂系统的数据和过程中的作用。

摘要

In this report we provide an informal mathematical introduction to the use of some methods from graph theory for the data analysis of non-standard time series. By this we mean information from a channel that is not presented to us in the usual format as a regular sequence of numbers. In particular we are interested in the role of the Laplacian matrix operator in helping us to understand the underlying structure and meaning of information generated from a wide range of sources....
机译:在此报告中,我们提供了非正式的数学介绍,介绍了使用图论中的某些方法对非标准时间序列进行数据分析的方法。我们所说的是指来自某个频道的信息,它没有以常规格式作为常规数字序列呈现给我们。特别是,我们对拉普拉斯矩阵运算符在帮助我们理解从多种来源生成的信息的基本结构和含义方面的作用感兴趣。

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