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Zhao, JH; Zhou, HJ; Zhou, HJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Zhou, HJ (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.
Feedback arcs and node hierarchy in directed networks
Source PublicationCHINESE PHYSICS B
Language英语
KeywordDirected Graph Feedback Arc Hierarchy Message-passing Algorithm
AbstractDirected networks such as gene regulation networks and neural networks are connected by arcs (directed links). The nodes in a directed network are often strongly interwound by a huge number of directed cycles, which leads to complex information-processing dynamics in the network and makes it highly challenging to infer the intrinsic direction of information flow. In this theoretical paper, based on the principle of minimum-feedback, we explore the node hierarchy of directed networks and distinguish feedforward and feedback arcs. Nearly optimal node hierarchy solutions, which minimize the number of feedback arcs from lower-level nodes to higher-level nodes, are constructed by belief-propagation and simulated-annealing methods. For real-world networks, we quantify the extent of feedback scarcity by comparison with the ensemble of direction-randomized networks and identify the most important feedback arcs. Our methods are also useful for visualizing directed networks.
2017
Volume26Issue:7Pages:78901
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1674-1056/26/7/078901
Funding OrganizationNational Basic Research Program of China [2013CB932804] ; National Basic Research Program of China [2013CB932804] ; National Basic Research Program of China [2013CB932804] ; National Basic Research Program of China [2013CB932804] ; National Natural Science Foundations of China [11121403, 11225526] ; National Natural Science Foundations of China [11121403, 11225526] ; National Natural Science Foundations of China [11121403, 11225526] ; National Natural Science Foundations of China [11121403, 11225526] ; Fondazione CRT under project SIBYL ; Fondazione CRT under project SIBYL ; Fondazione CRT under project SIBYL ; Fondazione CRT under project SIBYL
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22025
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, HJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Zhou, HJ (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.
Recommended Citation
GB/T 7714
Zhao, JH,Zhou, HJ,Zhou, HJ ,et al. Feedback arcs and node hierarchy in directed networks[J]. CHINESE PHYSICS B,2017,26(7):78901.
APA Zhao, JH,Zhou, HJ,Zhou, HJ ,&Zhou, HJ .(2017).Feedback arcs and node hierarchy in directed networks.CHINESE PHYSICS B,26(7),78901.
MLA Zhao, JH,et al."Feedback arcs and node hierarchy in directed networks".CHINESE PHYSICS B 26.7(2017):78901.
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