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The robustness of complex networks against node failure and malicious attack has been of interest for decades, while most of the research has focused on random attack or hub-targeted attack. In many real-world scenarios, however, attacks…

Physics and Society · Physics 2015-06-23 Shuai Shao , Xuqing Huang , H Eugene Stanley , Shlomo Havlin

Neural networks are susceptible to artificially designed adversarial perturbations. Recent efforts have shown that imposing certain modifications on classification layer can improve the robustness of the neural networks. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Cong Xu , Xiang Li , Min Yang

Random scale-free overlay topologies provide a number of properties like for example high resilience against failures of random nodes, small (average) diameter as well as good expansion and congestion characteristics that make them…

Networking and Internet Architecture · Computer Science 2013-07-16 Ingo Scholtes

Scale-free networks with small power law exponent are known to be robust, meaning that their qualitative topological structure cannot be altered by random removal of even a large proportion of nodes. By contrast, it has been argued in the…

Probability · Mathematics 2013-08-23 Maren Eckhoff , Peter Mörters

We show that real multiplex networks are unexpectedly robust against targeted attacks on high degree nodes, and that hidden interlayer geometric correlations predict this robustness. Without geometric correlations, multiplexes exhibit an…

This work studies how to preemptively increase the resilience of a network by means of time-varying topological actuation. To do this, we focus on linear dynamical systems that are compatible with a given network, and consider policies that…

Optimization and Control · Mathematics 2026-02-24 Fei Chen , Jorge Cortés , Sonia Martínez

In this paper, we explore the relationship between the topological characteristics of a complex network and its robustness to sustained targeted attacks. Using synthesised scale-free, small-world and random networks, we look at a number of…

Physics and Society · Physics 2014-02-27 Dharshana Kasthurirathna , Mahendra Piraveenan , Gnanakumar Thedchanamoorthy

The structure and design of optimal supply networks is an important topic in complex networks research. A fundamental trait of natural and man-made networks is the emergence of loops and the trade-off governing their formation: adding…

Physics and Society · Physics 2020-11-25 Franz Kaiser , Henrik Ronellenfitsch , Dirk Witthaut

In this paper, we study an adaptive spatial network. We consider an SIS (susceptible-infectedsusceptible) epidemic on the network, with a link/contact rewiring process constrained by spatial proximity. In particular, we assume that…

Populations and Evolution · Quantitative Biology 2016-11-25 P. Rattana , L. Berthouze , I. Z. Kiss

Increasing the connectivity of a graph is a pivotal challenge in robust network design. The weighted connectivity augmentation problem is a common version of the problem that takes link costs into consideration. The problem is then to find…

Data Structures and Algorithms · Computer Science 2024-02-13 Marcelo Fonseca Faraj , Ernestine Großmann , Felix Joos , Thomas Möller , Christian Schulz

In this paper, we numerically investigate the robustness of cooperation clusters in prisoner's dilemma played on scale-free networks, where the network topologies change by continuous removal and addition of nodes. Each removal and addition…

Physics and Society · Physics 2013-11-14 Genki Ichinose , Yuto Tenguishi , Toshihiro Tanizawa

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

Network robustness against attacks is one of the most fundamental researches in network science as it is closely associated with the reliability and functionality of various networking paradigms. However, despite the study on intrinsic…

Social and Information Networks · Computer Science 2015-06-23 Pin-Yu Chen , Shin-Ming Cheng

We numerically investigate that optimal robust onion-like networks can emerge even with the constraint of surface growth in supposing a spatially embedded transportation or communication system. To be onion-like, moderately long links are…

Physics and Society · Physics 2019-11-11 Yukio Hayashi , Yuki Tanaka

Improving the resilience of a network is a fundamental problem in network science, which protects the underlying system from natural disasters and malicious attacks. This is traditionally achieved via successive degree-preserving edge…

Machine Learning · Computer Science 2022-05-24 Shanchao Yang , Kaili Ma , Baoxiang Wang , Tianshu Yu , Hongyuan Zha

In complex systems (e.g., communication, transportation, and biological networks), high robustness ensures sustained functionality and stability even when resisting attacks. However, the inherent structure complexity and the…

Physics and Society · Physics 2025-06-13 Xilong Qu , Wenbin Pei , Haifang Li , Qiang Zhang , Bing Xue , Mengjie Zhang

In this paper we provide an approach for deep learning that protects against adversarial examples in image classification-type networks. The approach relies on two mechanisms:1) a mechanism that increases robustness at the expense of…

Machine Learning · Computer Science 2021-01-07 Yuting Liang , Reza Samavi

Certified defenses against small-norm adversarial examples have received growing attention in recent years; though certified accuracies of state-of-the-art methods remain far below their non-robust counterparts, despite the fact that…

Machine Learning · Computer Science 2023-01-24 Klas Leino

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

Graph Neural Networks (GNNs) have achieved promising results in tasks such as node classification and graph classification. However, recent studies reveal that GNNs are vulnerable to backdoor attacks, posing a significant threat to their…

Machine Learning · Computer Science 2025-03-13 Zhiwei Zhang , Minhua Lin , Junjie Xu , Zongyu Wu , Enyan Dai , Suhang Wang