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Related papers: Node and Edge Centrality based Failures in Multi-l…

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We study, both analytically and numerically, the cascade of failures in two coupled network systems A and B, where multiple support-dependent relations are randomly built between nodes of networks A and B. In our model we assume that each…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Jia Shao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

Compared to sequential learning models, graph-based neural networks exhibit excellent ability in capturing global information and have been used for semi-supervised learning tasks. Most Graph Convolutional Networks are designed with the…

Computation and Language · Computer Science 2022-04-12 Kunze Wang , Soyeon Caren Han , Siqu Long , Josiah Poon

We present an integrated approach to analyse the multi-lead ECG data using the frame work of multiplex recurrence networks (MRNs). We explore how their intralayer and interlayer topological features can capture the subtle variations in the…

Physics and Society · Physics 2021-02-03 Sneha Kachhara , G. Ambika

Biological networks, such as cellular metabolic pathways or networks of corticocortical connections in the brain, are intricately organized, yet remarkably robust toward structural damage. Whereas many studies have investigated specific…

Neurons and Cognition · Quantitative Biology 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

The effective utilization of consistency is crucial for multi-view learning. GCNs leverage node connections to propagate information across the graph, facilitating the exploitation of consistency in multi-view data. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Chengjie Cui , Taihua Xu , Shuyin Xia , Qinghua Zhang , Yun Cui , Shiping Wang

In the understanding of important edges in complex networks, the edges with larger degree are naturally considered more important, and they will cause greater destructiveness when attacked. However, through simulation analysis, we conclude…

Networking and Internet Architecture · Computer Science 2023-04-05 Peng Geng , Huizhen Hao , Annan Yang , Yan Liu

In this paper, we first study the fundamental limit of clustering networks when a multi-layer network is present. Under the mixture multi-layer stochastic block model (MMSBM), we show that the minimax optimal network clustering error rate,…

Statistics Theory · Mathematics 2023-11-28 Zhongyuan Lyu , Ting Li , Dong Xia

Heterogeneous graph convolutional networks have gained great popularity in tackling various network analytical tasks on heterogeneous network data, ranging from link prediction to node classification. However, most existing works ignore the…

Social and Information Networks · Computer Science 2022-08-15 Pengyang Yu , Chaofan Fu , Yanwei Yu , Chao Huang , Zhongying Zhao , Junyu Dong

We study the cascading failures in a system composed of two interdependent square lattice networks A and B placed on the same Cartesian plane, where each node in network A depends on a node in network B randomly chosen within a certain…

Data Analysis, Statistics and Probability · Physics 2012-06-04 Wei Li , Amir Bashan , Sergey V. Buldyrev , H. Eugene Stanley , Shlomo Havlin

An important issue in neural network research is how to choose the number of nodes and layers such as to solve a classification problem. We provide new intuitions based on earlier results by An et al. (2015) by deriving an upper bound on…

Machine Learning · Statistics 2018-02-13 Marjolein Troost , Katja Seeliger , Marcel van Gerven

Online users are typically active on multiple social media networks (SMNs), which constitute a multiplex social network. It is becoming increasingly challenging to determine whether given accounts on different SMNs belong to the same user;…

Physics and Society · Physics 2021-11-10 Rui Tang , Zhenxiong Miao , Shuyu Jiang , Xingshu Chen , Haizhou Wang , Wei Wang

In the race to bring Artificial Intelligence (AI) to the edge, collaborative intelligence has emerged as a promising way to lighten the computation load on edge devices that run applications based on Deep Neural Networks (DNNs). Typically,…

Image and Video Processing · Electrical Eng. & Systems 2021-05-24 Lior Bragilevsky , Ivan V. Bajić

Graph heterophily poses a formidable challenge to the performance of Message-passing Graph Neural Networks (MP-GNNs). The familiar low-pass filters like Graph Convolutional Networks (GCNs) face performance degradation, which can be…

Machine Learning · Computer Science 2025-09-17 Kushal Bose , Swagatam Das

With the sharp increase of power demand, large-scale blackouts in power grids occur frequently around the world. Cascading failures are the main causes of network outages. Therefore, revealing the complicated cascade mechanism in grids is…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Yubo Huang , Junguo Lu , Weidong Zhang

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

Graph Convolutional Networks (GCNs) have gained great popularity in tackling various analytics tasks on graph and network data. However, some recent studies raise concerns about whether GCNs can optimally integrate node features and…

Machine Learning · Computer Science 2020-07-14 Xiao Wang , Meiqi Zhu , Deyu Bo , Peng Cui , Chuan Shi , Jian Pei

For the convolutional neural network (CNN) used for pattern classification, the training loss function is usually applied to the final output of the network, except for some regularization constraints on the network parameters. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Qiuyu Zhu , Hao Wang , Xuewen Zu , Chengfei Liu

The main types of simultaneous targeted group attacks on complex network systems and processes of intersystem interactions are discussed in the article. On the basis of structural model of multilayer network system (MLNS) and its…

Physics and Society · Physics 2025-03-27 Olexandr Polishchuk , Dmytro Polishchuk