SEQUENTIAL ALGORITHM FOR DISORDER DETECTION IN MULTIVARIATE TIME SERIES

Ekaterina N. Antonova
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Abstract

The paper considers a set of issues related to the construction and sequential algorithms use for detecting spontaneous changes in multidimensional time series probabilistic characteristics (disorder). The study is motivated by the mathematical support problems for decision-making processes based on data from large systems multi-channel monitoring and is devoted to the analysis of the measurements multidimensional time series spatio-temporal dynamics. As an alternative to traditional approaches, new technologies for analyzing inter-channel communications are proposed. Dimension reduction technologies are used based on the data matrices presentation in the first singular basis and multiple regression in the projection space. The considered approach can be applied for interventions early detection in computer networks. The developed approach application in the analyzing the characteristics problem of a turbulent flow based on the pressure deviations measurement data at various points in the volume is demonstrated.
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多变量时间序列中无序检测的顺序算法
本文考虑了一组与用于检测多维时间序列概率特征(无序)的自发变化的构造和顺序算法相关的问题。本研究以大系统多通道监测数据决策过程的数学支持问题为动力,致力于多维时间序列测量的时空动态分析。作为传统方法的替代方案,人们提出了新的信道间通信分析技术。采用基于第一奇异基的数据矩阵表示和投影空间的多元回归的降维技术。所考虑的方法可以应用于计算机网络干预的早期检测。介绍了该方法在分析湍流特性问题中的应用,该方法是基于体积中各点的压力偏差测量数据。
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