中国科学:物理学 力学 天文学(英文版)2024,Vol.67Issue(4) :51-63.DOI:10.1007/s11433-023-2303-7

Uncovering hidden nodes and hidden links in complex dynamic networks

Zhaoyang Zhang Xinyu Wang Haihong Li Yang Chen Zhilin Qu Yuanyuan Mi Gang Hu
中国科学:物理学 力学 天文学(英文版)2024,Vol.67Issue(4) :51-63.DOI:10.1007/s11433-023-2303-7

Uncovering hidden nodes and hidden links in complex dynamic networks

Zhaoyang Zhang 1Xinyu Wang 2Haihong Li 3Yang Chen 4Zhilin Qu 5Yuanyuan Mi 6Gang Hu7
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作者信息

  • 1. Department of Physics,School of Physical Science and Technology,Ningbo University,Ningbo 315211,China
  • 2. School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China;Department of Medicine,David Geffen School of Medicine,University of California,Los Angeles 90095,USA
  • 3. School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China
  • 4. Brainnetome Center and National Laboratory of Pattern Recognition,Institute of Automation,Chinese Academy of Sciences,Beijing 100190,China
  • 5. Department of Medicine,David Geffen School of Medicine,University of California,Los Angeles 90095,USA
  • 6. Department of Psychology,Tsinghua University,Beijing 100084,China
  • 7. Department of Physics,Beijing Normal University,Beijing 100875,China
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Abstract

Inferring network structures from available data has attracted much interest in network science;however,in many realistic net-works,only some of the nodes are perceptible while others are hidden,making it a challenging task.In this work,we develop a method for reconstructing the network with hidden nodes and links,taking account of fast-varying noise and time-delay inter-actions.By calculating the correlations of available data with different derivative orders for multiple pairs of accessible nodes,analyzing and integrating the relationships between different correlations,and defining diverse hidden-node-related reconstruction motifs,we can effectively identify the hidden nodes and hidden links in the network.

Key words

networks and genealogical trees/stochastic analysis methods/time series analysis

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基金项目

国家自然科学基金(11835003)

国家自然科学基金(12375033)

国家自然科学基金(12235007)

国家自然科学基金(11975131)

浙江省自然科学基金(LY23A050002)

K.C.Wong Magna Fund at Ningbo University()

国家自然科学基金(T2122016)

National Science and Technology Innovation Major Program(2030)(2021ZD0203700)

National Science and Technology Innovation Major Program(2030)(2021ZD0203705)

中央高校基本科研业务费专项(2022CDJKYJH034)

美国国立卫生研究院项目(R01 HL134709)

美国国立卫生研究院项目(R01 HL139829)

美国国立卫生研究院项目(R01 HL157116)

美国国立卫生研究院项目(P01 HL164311)

国家自然科学基金(11905291)

CAS Project for Young Scientists in Basic Research(YSBR-041)

出版年

2024
中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子:0.91
ISSN:1674-7348
参考文献量54
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