Detect and evaluate dependencies between aero-engine gas path system variables based on multiscale horizontal visibility graph analysis

2019 ◽  
Vol 526 ◽  
pp. 120830 ◽  
Author(s):  
Hong Zhang ◽  
Linan Long ◽  
Keqiang Dong
Keyword(s):  
Visibility Graph ◽  
Graph Analysis ◽  
Horizontal Visibility ◽  
Aero Engine ◽  
Path System ◽  
System Variables ◽  
Visibility Graph Analysis ◽  
Horizontal Visibility Graph

scholarly journals Multiscale Horizontal Visibility Graph Analysis of Higher-Order Moments for Estimating Statistical Dependency

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 1008 ◽  
Author(s):  
Keqiang Dong ◽  
Haowei Che ◽  
Zhi Zou
Keyword(s):  
Time Series ◽  
Information Exchange ◽  
Engine Performance ◽  
Visibility Graph ◽  
Stationary Time Series ◽  
Third Order ◽  
Horizontal Visibility ◽  
Statistical Dependency ◽  
Visibility Graph Analysis ◽  
Horizontal Visibility Graph

The horizontal visibility graph is not only a powerful tool for the analysis of complex systems, but also a promising way to analyze time series. In this paper, we present an approach to measure the nonlinear interactions between a non-stationary time series based on the horizontal visibility graph. We describe how a horizontal visibility graph may be calculated based on second-order and third-order statistical moments. We compare the new methods with the first-order measure, and then give examples including stock markets and aero-engine performance parameters. These analyses suggest that measures derived from the horizontal visibility graph may be of particular relevance to the growing interest in quantifying the information exchange between time series.

Visibility Graph Analysis of Particle Size Distribution During Flocculation for Water Treatment

2021 ◽  
Vol 232 (3) ◽  
Author(s):  
Kamila Jessie Sammarro Silva ◽  
Larissa Lopes Lima ◽  
Gustavo Santos Nunes ◽  
Lyda Patricia Sabogal-Paz
Keyword(s):  
Particle Size ◽  
Water Treatment ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis

scholarly journals Extracting Correlations in Earthquake Time Series Using Visibility Graph Analysis

2021 ◽  
Vol 9 ◽  
Author(s):  
Sumanta Kundu ◽  
Anca Opris ◽  
Yohei Yukutake ◽  
Takahiro Hatano
Keyword(s):  
Time Series ◽  
Complex Network ◽  
Recent Observation ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Common Belief ◽  
Complex Network Theory ◽  
Event Time ◽  
Visibility Graph Analysis ◽  
Present Understanding

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still limited due to their non-linear and non-stationary nature. Here we utilize complex network theory to shed new light on the statistical properties of earthquake time series. We investigate two kinds of time series, which are magnitude and inter-event time (IET), for three different categories of earthquakes: regular earthquakes, earthquake swarms, and tectonic tremors. Following the criterion of visibility graph, earthquake time series are mapped into a complex network by considering each seismic event as a node and determining the links. As opposed to the current common belief, it is found that the magnitude time series are not statistically equivalent to random time series. The IET series exhibit correlations similar to fractional Brownian motion for all the categories of earthquakes. Furthermore, we show that the time series of three different categories of earthquakes can be distinguished by the topology of the associated visibility graph. Analysis on the assortativity coefficient also reveals that the swarms are more intermittent than the tremors.

Visibility graph analysis on heartbeat dynamics of meditation training

2013 ◽  
Vol 102 (25) ◽  
pp. 253702 ◽  
Author(s):  
Sen Jiang ◽  
Chunhua Bian ◽  
Xinbao Ning ◽  
Qianli D. Y. Ma
Keyword(s):  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis

scholarly journals Analysing the Dynamics of Interbeat Interval Time Series Using Grouped Horizontal Visibility Graph

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 9926-9934 ◽  
Author(s):  
Gulraiz Iqbal Choudhary ◽  
Wajid Aziz ◽  
Ishtiaq Rasool Khan ◽  
Susanto Rahardja ◽  
Pasi Franti
Keyword(s):  
Time Series ◽  
Visibility Graph ◽  
Interbeat Interval ◽  
Horizontal Visibility ◽  
Interval Time ◽  
Interval Time Series ◽  
Horizontal Visibility Graph
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