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Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

Network models describe the brain as sets of nodes and edges that represent its distributed organization. So far, most discoveries in network neuroscience have prioritized insights that highlight distinct groupings and specialized…

Neurons and Cognition · Quantitative Biology 2021-05-18 Joshua Faskowitz , Richard F. Betzel , Olaf Sporns

A network is a typical expressive form of representing complex systems in terms of vertices and links, in which the pattern of interactions amongst components of the network is intricate. The network can be static that does not change over…

Social and Information Networks · Computer Science 2020-08-11 Hayat Dino Bedru , Shuo Yu , Xinru Xiao , Da Zhang , Liangtian Wan , He Guo , Feng Xia

Measure the similarity of the nodes in the complex networks have interested many researchers to explore it. In this paper, a new method which is based on the degree centrality and the Relative-entropy is proposed to measure the similarity…

Social and Information Networks · Computer Science 2015-02-04 Qi Zhang , Meizhu Li , Yong Deng , Sankaran Mahadevan

Network embedding is a highly effective method to learn low-dimensional node vector representations with original network structures being well preserved. However, existing network embedding algorithms are mostly developed for a single…

Social and Information Networks · Computer Science 2021-05-06 Xiao Shen , Quanyu Dai , Sitong Mao , Fu-lai Chung , Kup-Sze Choi

Nodes in real-world networks organize into densely linked communities where edges appear with high concentration among the members of the community. Identifying such communities of nodes has proven to be a challenging task mainly due to a…

Social and Information Networks · Computer Science 2012-11-08 Jaewon Yang , Jure Leskovec

In the last two decades we are witnessing a huge increase of valuable big data structured in the form of graphs or networks. To apply traditional machine learning and data analytic techniques to such data it is necessary to transform graphs…

Machine Learning · Computer Science 2024-03-22 Aleksandar Tomčić , Miloš Savić , Miloš Radovanović

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Paweł Stawiak , Przemysław Kazienko

Identifying critical nodes and links in graphs is a crucial task. These nodes/links typically represent critical elements/communication links that play a key role in a system's performance. However, a majority of the methods available in…

Social and Information Networks · Computer Science 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

Network embedding is a general-purpose machine learning technique that encodes network structure in vector spaces with tunable dimension. Choosing an appropriate embedding dimension -- small enough to be efficient and large enough to be…

Physics and Society · Physics 2021-06-22 Weiwei Gu , Aditya Tandon , Yong-Yeol Ahn , Filippo Radicchi

Attributed network embedding has attracted plenty of interest in recent years. It aims to learn task-independent, low-dimensional, and continuous vectors for nodes preserving both topology and attribute information. Most of the existing…

Machine Learning · Computer Science 2020-11-03 Xueyan Liu , Bo Yang , Wenzhuo Song , Katarzyna Musial , Wanli Zuo , Hongxu Chen , Hongzhi Yin

As more connectome data become available, the question of how to best analyse the structure of biological neural networks becomes increasingly pertinent. In brain networks, knowing that two areas are connected is often not sufficient, as…

Neurons and Cognition · Quantitative Biology 2024-01-30 Tanguy Fardet , Emmanouil Giannakakis , Lukas Paulun , Anna Levina

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

Graph embedding is a transformation of nodes of a network into a set of vectors. A good embedding should capture the underlying graph topology and structure, node-to-node relationship, and other relevant information about the graph, its…

Social and Information Networks · Computer Science 2021-12-02 Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

The problem of achieving consensus in a network of connected systems arises in many science and engineering applications. In contrast to previous works, we focus on the system reactivity, i.e., the initial amplification of the norm of the…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Amirhossein Nazerian , David Phillips , Hernan A. Makse , Francesco Sorrentino

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

Physics and Society · Physics 2007-05-23 Pan-Jun Kim , Hawoong Jeong

Bipartite networks provide an effective resource for representing, characterizing, and modeling several abstract and real-world systems and structures involving binary relations, which include food webs, social interactions, and…

Social and Information Networks · Computer Science 2024-02-01 Alexandre Benatti , Luciano da F. Costa

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Jaidev Gill , Jing Shuang Li

Identifying the node spreading influence in networks is an important task to optimally use the network structure and ensure the more efficient spreading in information. In this paper, by taking into account the shortest distance between a…

Physics and Society · Physics 2015-06-22 Jian-Guo Liu , Zhuo-Ming Ren , Qiang Guo

A number of network structural characteristics have recently been the subject of particularly intense research, including degree distributions, community structure, and various measures of vertex centrality, to mention only a few. Vertices…

Social and Information Networks · Computer Science 2016-03-23 Igor Trpevski , Tamara Dimitrova , Tommy Boshkovski , Ljupco Kocarev