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Error tolerance and attack vulnerability are two common and important properties of complex networks, which are usually used to evaluate the robustness of a network. Recently, much work has been devoted to determining the network design…

Networking and Internet Architecture · Computer Science 2015-05-13 Jichang Zhao , Ke Xu

In recent years, there has been significant attention given to the robustness assessment of neural networks. Robustness plays a critical role in ensuring reliable operation of artificial intelligence (AI) systems in complex and uncertain…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Jie Wang , Jun Ai , Minyan Lu , Haoran Su , Dan Yu , Yutao Zhang , Junda Zhu , Jingyu Liu

Adversarial training has proven to be effective in hardening networks against adversarial examples. However, the gained robustness is limited by network capacity and number of training samples. Consequently, to build more robust models, it…

Machine Learning · Computer Science 2020-06-02 Zheng Xu , Ali Shafahi , Tom Goldstein

Generally, networks are classified into two sides of inequality and equality with respect to the number of links at nodes by the types of degree distributions. One side includes many social, technological, and biological networks which…

Physics and Society · Physics 2025-10-01 Yukio Hayashi , Taishi Ogawa

Vulnerability to adversarial attacks is a well-known weakness of Deep Neural networks. While most of the studies focus on single-task neural networks with computer vision datasets, very little research has considered complex multi-task…

Machine Learning · Computer Science 2021-10-29 Salah Ghamizi , Maxime Cordy , Mike Papadakis , Yves Le Traon

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

In varying degree distributions, we investigate the optimally robust networks against targeted attacks to nodes with higher degrees. In considering that a network tends to have more robustness with a smaller variance of degree…

Physics and Society · Physics 2023-01-18 Masaki Chujyo , Yukio Hayashi , Takehisa Hasegawa

We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws to investigate the impact of transient dynamics caused by the rebalancing of loads after an initial network failure…

Physics and Society · Physics 2010-05-04 Ingve Simonsen , Lubos Buzna , Karsten Peters , Stefan Bornholdt , Dirk Helbing

The robustness of complex networks was one of the first phenomena studied after the inception of network science. However, many contemporary presentations of this theory do not go beyond the original papers. Here we revisit this topic with…

Physics and Society · Physics 2022-02-17 Thilo Gross , Laura Barth

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

Graph Neural Networks (GNNs) have become a cornerstone in graph-based data analysis, with applications in diverse domains such as bioinformatics, social networks, and recommendation systems. However, the interplay between model…

Machine Learning · Computer Science 2025-05-06 Kirill Lukyanov , Georgii Sazonov , Serafim Boyarsky , Ilya Makarov

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

Physics and Society · Physics 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

This article offers a brief overview of the current research topics concerning strategies to mitigate the adverse effects of perturbations in complex networks. It addresses the issue of an unclear use of Robustness and Resilience…

Physics and Society · Physics 2019-09-17 Ulisses Lacerda de Morais , Luis Antunes

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

Adaptation and Self-Organizing Systems · Physics 2018-08-21 Giannis Moutsinas , Weisi Guo

Active distribution networks facilitating bidirectional power exchange with renewable energy resources are susceptible to cyberattacks due to integration of a diverse array of cyber components. This study introduces a grid-level defense…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Hampei Sasahara , Tatsuya Yamada , Jun-ichi Imura , Henrik Sandberg

Real-world attacks can be interpreted as the result of competitive interactions between networks, ranging from predator-prey networks to networks of countries under economic sanctions. Although the purpose of an attack is to damage a target…

Social and Information Networks · Computer Science 2015-10-22 Boris Podobnik , Davor Horvatic , Tomislav Lipic , Matjaz Perc , Javier M. Buldu , H. Eugene Stanley

Extensive researches have been dedicated to investigating the performance of real networks and synthetic networks against random failures or intentional attack guided by degree (degree attack). Degree is one of straightforward measures to…

Physics and Society · Physics 2011-09-26 Hui Wang , Jinyuan Huang , Xiaomin Xu , Yanghua Xiao , Wei Wang

Robustness is an important property of complex networks. Up to now, there are plentiful researches focusing on the network's robustness containing error and attack tolerance of network's connectivity and the shortest path. In this paper,…

Statistical Mechanics · Physics 2010-01-15 Jie Cheng , Xiaojia Li , Zengru Di , Ying Fan

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

Although deep networks achieve strong accuracy on a range of computer vision benchmarks, they remain vulnerable to adversarial attacks, where imperceptible input perturbations fool the network. We present both theoretical and empirical…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Chengzhi Mao , Amogh Gupta , Vikram Nitin , Baishakhi Ray , Shuran Song , Junfeng Yang , Carl Vondrick
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