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Despite the tremendous success of graph-based learning systems in handling structural data, it has been widely investigated that they are fragile to adversarial attacks on homophilic graph data, where adversaries maliciously modify the…

Machine Learning · Computer Science 2025-09-05 Yulin Zhu , Yuni Lai , Xing Ai , Wai Lun LO , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

Resonance is a well-known phenomenon that happens in systems with second order dynamics. In this paper we address the fundamental question of making a network robust to signal being periodically pumped into it at or near a resonant…

Social and Information Networks · Computer Science 2025-01-30 Alp Sahin , Nicolas Kozachuk , Rick S. Blum , Subhrajit Bhattacharya

This article presents an analysis of the structural resilience of a fragment of Internet topology against both targeted and random attacks, based on empirical data obtained from the iThena project. Using a processed visualization of the…

Networking and Internet Architecture · Computer Science 2025-04-28 Lukasz Swierczewski

As the scale of networked control systems increases and interactions between different subsystems become more sophisticated, questions of the resilience of such networks increase in importance. The need to redefine classical system and…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Mohammad Pirani , Aritra Mitra , Shreyas Sundaram

Deep learning on graph structures has shown exciting results in various applications. However, few attentions have been paid to the robustness of such models, in contrast to numerous research work for image or text adversarial attack and…

Machine Learning · Computer Science 2018-06-08 Hanjun Dai , Hui Li , Tian Tian , Xin Huang , Lin Wang , Jun Zhu , Le Song

Robustness is a critical measure of the resilience of large networked systems, such as transportation and communication networks. Most prior works focus on the global robustness of a given graph at large, e.g., by measuring its overall…

Social and Information Networks · Computer Science 2015-01-09 Hau Chan , Shuchu Han , Leman Akoglu

The robustness of deep neural networks (DNNs) against adversarial attacks has been studied extensively in hopes of both better understanding how deep learning models converge and in order to ensure the security of these models in…

Machine Learning · Computer Science 2023-07-11 Jovon Craig , Josh Andle , Theodore S. Nowak , Salimeh Yasaei Sekeh

Multi-agent networks are often modeled as interaction graphs, where the nodes represent the agents and the edges denote some direct interactions. The robustness of a multi-agent network to perturbations such as failures, noise, or malicious…

Multiagent Systems · Computer Science 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

Real-world complex systems exhibit intricate interconnections and dependencies, especially social networks, technological infrastructures, and communication networks. These networks are prone to disconnection due to random failures or…

Social and Information Networks · Computer Science 2025-05-23 Rajesh Kumar , Suchi Kumari , Anubhav Mishra

Graph Neural Networks (GNNs) are powerful tools in representation learning for graphs. However, recent studies show that GNNs are vulnerable to carefully-crafted perturbations, called adversarial attacks. Adversarial attacks can easily fool…

Machine Learning · Computer Science 2020-06-30 Wei Jin , Yao Ma , Xiaorui Liu , Xianfeng Tang , Suhang Wang , Jiliang Tang

We investigate how the graph topology influences the robustness to noise in undirected linear consensus networks. We measure the structural robustness by using the smallest possible value of steady state population variance of states under…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Yasin Yazicioglu , Waseem Abbas , Mudassir Shabbir

Recent study shows that the accuracy of the k-shell method in determining node coreness in a spreading process is largely impacted due to the existence of core-like group, which has a large k-shell index but a low spreading efficiency.…

Physics and Society · Physics 2015-05-28 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

The concept of k-core, which indicates the largest induced subgraph where each node has k or more neighbors, plays a significant role in measuring the cohesiveness and the engagement of a network, and it is exploited in diverse…

Social and Information Networks · Computer Science 2023-01-03 Yuqian Lv , Bo Zhou , Jinhuan Wang , Qi Xuan

Recent work has shown that graph neural networks (GNNs) are vulnerable to adversarial attacks on graph data. Common attack approaches are typically informed, i.e. they have access to information about node attributes such as labels and…

Machine Learning · Computer Science 2021-07-29 Hussain Hussain , Tomislav Duricic , Elisabeth Lex , Denis Helic , Markus Strohmaier , Roman Kern

A networked system can be made resilient against adversaries and attacks if the underlying network graph is structurally robust. For instance, to achieve distributed consensus in the presence of adversaries, the underlying network graph…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Faiq Ghawash , Waseem Abbas

Recent studies have shown that attackers can catastrophically reduce the performance of GNNs by maliciously modifying the graph structure or node features on the graph. Adversarial training, which has been shown to be one of the most…

Machine Learning · Computer Science 2023-12-11 Xiaobing Pei , Haoran Yang , Gang Shen

k-connectivity is an important measure of network robustness and resilience to random faults and disruptions. We undertake both local and global approaches to k-connectivity and calculate closed form analytic formulas for the probability…

Disordered Systems and Neural Networks · Physics 2013-12-13 Orestis Georgiou , Carl P. Dettmann , Justin Coon

Graph Neural Networks (GNNs) obtain tremendous success in modeling relational data. Still, they are prone to adversarial attacks, which are massive threats to applying GNNs to risk-sensitive domains. Existing defensive methods neither…

Machine Learning · Computer Science 2023-04-11 Beini Xie , Heng Chang , Ziwei Zhang , Xin Wang , Daixin Wang , Zhiqiang Zhang , Rex Ying , Wenwu Zhu

The scale-fee networks, having connectivity distribution $P(k)\sim k^{-\alpha}$ (where $k$ is the site connectivity), is very resilient to random failures but fragile to intentional attack. The purpose of this paper is to find the network…

Statistical Mechanics · Physics 2009-11-11 Jian-Guo Liu , Zhong-Tuo Wang , Yan-Zhong Dang

Random intersection graphs have received much attention for nearly two decades, and currently have a wide range of applications ranging from key predistribution in wireless sensor networks to modeling social networks. In this paper, we…

Discrete Mathematics · Computer Science 2016-11-15 Jun Zhao , Osman Yağan , Virgil Gligor