首页|基于概率穿越可视图的时间序列网络多重分形研究与应用

基于概率穿越可视图的时间序列网络多重分形研究与应用

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  • 国家科技期刊平台
  • NETL
  • NSTL
  • 万方数据
  • 维普
对有限穿越可视图进行改进,提出了概率穿越可视图.首先,将间接可视的节点之间的关联处理为穿越距离的函数,而且节点之间的关联随穿越距离的增加而减小,从而将无权图形式的时间序列网络推广到带权图;其次,采用复杂网络中的网络维数计算方法处理所得到的时间序列网络的分形维数,从而对其自相似特性进行分析;最后,通过划分不同的时间粒度得到多个不同的时间序列网络,对应有多个不同的分形维数,进而分析了所得到的时间序列网络的多重分形特性.在与经典的可视图法、水平可视图法及有限穿越可视图法的对比中论证了所提出的概率穿越可视图的优势.
Research and Application on Multi-fractals of Complex Network for Time Series Based on Probability Penetrable Visibility Graph
In this paper,the probability penetrable visibility graph is proposed by improving limited penetrable visibility graph.Firstly,by treating the association of indirectly visible node pairs as a func-tion of penetrable distance with the association of node pairs decreasing with the increasing of penetra-ble distance,the form of complex network for time series extended from unweighted graph to weighted graph.Secondly,the self-similarity characteristics of complex network for time series can be analyzed with the fractal dimension by using network dimension calculation method for complex network on complex network for time series obtained.Finally,various complex networks for time series appending with various fractal dimensions will be obtained by dividing time series with different time granulari-ty,thus the multi-fractal characteristics of complex network for time series obtained can be analyzed.The feasibility and effectiveness of proposed probability penetrable visibility graph is confirmed com-pared with the classical visibility graph,horizontal visibility graph and limited penetrable visibility graph.

Time seriesComplex networkProbability penetrable visibility graphNetwork dimensionMulti-fractals

刘胜久

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重庆工程职业技术学院 大数据与物联网学院,重庆 402260

时间序列 复杂网络 概率穿越可视图 网络维数 多重分形

重庆市教委科学技术研究计划重庆市教委科学技术研究计划重庆市教委科学技术研究计划重庆市教委职业教育教学改革研究项目重庆工程职业技术学院校级科研项目

KJQN202103404KJQN202303419KJQN202303428GZ222029KJA202313

2024

10.7699/j.ynnu.ns-2024-006

云南师范大学学报(自然科学版)
云南师范大学

云南师范大学学报(自然科学版)

CSTPCD
影响因子：0.54
ISSN：1007-9793
年,卷(期)：2024.44(1)
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