2011
DOI: 10.1063/1.3556121
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A comparison of two methods for modeling large-scale data from time series as complex networks

Abstract: In this paper, we compare two methods of mapping time series data to complex networks based on correlation coefficient and distance, respectively. These methods make use of two different physical aspects of large-scale data. We find that the method based on correlation coefficient cannot distinguish the randomness of a chaotic series from a purely random series, and it cannot express the certainty of chaos. The method based on distance can express the certainty of a chaotic series and can distinguish a chaotic… Show more

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Cited by 13 publications
(5 citation statements)
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“…This advantage makes the proposed method a potential candidate for real-world applications with low levels of noise background. In a recent work, Li et al reported that a judgment distance, defined as rate of maximum state transition distance to total number of nodes in a multidimensional phase space of a time series signal, can distinguish a chaotic series from a random series for a signal-to-noise ratio (SNR) over 50 (SNR ≥ 50) [16].…”
Section: A Discussion On Results Obtained For Biological Dynamical Symentioning
confidence: 99%
“…This advantage makes the proposed method a potential candidate for real-world applications with low levels of noise background. In a recent work, Li et al reported that a judgment distance, defined as rate of maximum state transition distance to total number of nodes in a multidimensional phase space of a time series signal, can distinguish a chaotic series from a random series for a signal-to-noise ratio (SNR) over 50 (SNR ≥ 50) [16].…”
Section: A Discussion On Results Obtained For Biological Dynamical Symentioning
confidence: 99%
“…Primary among these methods is correlation coefficient. We provide a detailed comparison of the methods that are based on space distance, and that are based on correlation coefficient in principle, effect, and application scope [26]. Different connecting methods will result in different graphs.…”
Section: Related Referencesmentioning
confidence: 99%
“…Using complex network theory to study stock prices not only allows us to analyze the relationship between different stocks, but also allows us to explore the macroaspects of the comovement characteristics of the market in different periods [9][10][11]. Previous studies have proposed a variety of methods to build complex networks using the time series of stock prices, including visibility graphs [12][13][14], recurrence networks [15][16][17], correlation networks [11,18,19], pattern networks [10,20], and K-neighbors networks [21,22]. Of all the network construction methods, the symbolic pattern network is favored by many scholars because it can more accurately reflect the degree of correlation and direction of the primitive elements in a complex system [10,20,23,24].…”
Section: Introductionmentioning
confidence: 99%