Network-based characterization of time series and its application to signal classification

IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Yujia Mi, Aijing Lin
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引用次数: 0

Abstract

Time series analysis in complex systems can help us to peep into the inner structure and operation law of the system so as to make relevant decisions. In this paper, we propose a binary symbolic pattern state transfer network for measuring the complexity of series. First, we capture the spatio-temporal characteristics of series through a weighted change pattern matrix, and then we define a new binary coding mode that accomplishes the conversion of complex series to symbolic series. In addition, we fully consider the temporal evolution of the series, construct a horizontal viewable view of the state transfer series and generate a complex network, and extract the relevant metrics. Simulation experiments verify the validity of the model and its robustness to parameters. Finally, the model is applied to physiological signal analysis. For two EEG datasets, we depicted the brain region activities of the subjects in different states and successfully categorized the subjects. In summary, our approach captures the intrinsic patterns and features of series from a new perspective and provides an effective way to measure the complexity of series, it also provides an effective way to recognize and classify complex signals.
基于网络的时间序列表征及其在信号分类中的应用
复杂系统中的时间序列分析可以帮助我们窥视系统的内部结构和运行规律,从而做出相应的决策。本文提出了一种测量序列复杂度的二元符号模式状态转移网络。首先,通过加权变化模式矩阵捕捉序列的时空特征,然后定义一种新的二进制编码模式,实现复序列到符号序列的转换。此外,我们充分考虑了序列的时间演化,构建了状态转移序列的水平可见视图,生成了复杂网络,并提取了相关指标。仿真实验验证了该模型的有效性和对参数的鲁棒性。最后,将该模型应用于生理信号分析。对于两个EEG数据集,我们描绘了受试者在不同状态下的脑区活动,并成功地对受试者进行了分类。综上所述,我们的方法从一个新的角度捕捉了序列的内在模式和特征,为测量序列的复杂性提供了一种有效的方法,也为识别和分类复杂信号提供了一种有效的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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