云南师范大学学报（自然科学版）2024，Vol.44Issue(1)：23-29,7.DOI:10.7699/j.ynnu.ns-2024-006
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
Research and Application on Multi-fractals of Complex Network for Time Series Based on Probability Penetrable Visibility Graph
摘要
Abstract
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.关键词
时间序列/复杂网络/概率穿越可视图/网络维数/多重分形Key words
Time series/Complex network/Probability penetrable visibility graph/Network dimension/Multi-fractals分类
数理科学引用本文复制引用
刘胜久..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[J].云南师范大学学报（自然科学版）,2024,44(1):23-29,7.基金项目
重庆市教育委员会科学技术研究资助项目(KJQN202103404,KJQN202303419,KJQN202303428) （KJQN202103404,KJQN202303419,KJQN202303428）
重庆市教育委员会职业教育教学改革研究资助项目(GZ222029) （GZ222029）
重庆工程职业技术学院校级科研资助项目(KJA202313). （KJA202313）
