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In this work, we consider two types of adversarial attacks on a network of nodes seeking to reach consensus. The first type involves an adversary that is capable of breaking a specific number of links at each time instant. In the second…

Optimization and Control · Mathematics 2013-03-12 Ali Khanafer , Behrouz Touri , Tamer Başar

The goal of this note is to assess whether simple machine learning algorithms can be used to determine whether and how a given network has been attacked. The procedure is based on the $k$-Nearest Neighbor and the Random Forest…

Physics and Society · Physics 2023-08-30 Davide Coppes , Paolo Cermelli

Graph-structured data exist in numerous applications in real life. As a state-of-the-art graph neural network, the graph convolutional network (GCN) plays an important role in processing graph-structured data. However, a recent study…

Machine Learning · Computer Science 2020-12-01 Jiazhu Dai , Weifeng Zhu , Xiangfeng Luo

Recent research has revealed that Graph Neural Networks (GNNs) are susceptible to adversarial attacks targeting the graph structure. A malicious attacker can manipulate a limited number of edges, given the training labels, to impair the…

Machine Learning · Computer Science 2023-03-30 Zihan Liu , Ge Wang , Yun Luo , Stan Z. Li

In this work we consider the communication of information in the presence of an online adversarial jammer. In the setting under study, a sender wishes to communicate a message to a receiver by transmitting a codeword x=x_1,...,x_n…

Information Theory · Computer Science 2008-11-19 Bikash Kumar Dey , Sidharth Jaggi , Michael Langberg

In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms such as the Erd\H{o}s-R\'{e}nyi model or the Barab\'{a}si-Albert model. Unfortunately, most graph generating…

Combinatorics · Mathematics 2018-08-16 Isaac Klickstein , Francesco Sorrentino

Adversarial training, in which a network is trained on both adversarial and clean examples, is one of the most trusted defense methods against adversarial attacks. However, there are three major practical difficulties in implementing and…

Machine Learning · Computer Science 2019-10-11 Shixian Wen , Laurent Itti

We study the problem of robustly estimating the parameter $p$ of an Erd\H{o}s-R\'enyi random graph on $n$ nodes, where a $\gamma$ fraction of nodes may be adversarially corrupted. After showing the deficiencies of canonical estimators, we…

Data Structures and Algorithms · Computer Science 2022-02-16 Jayadev Acharya , Ayush Jain , Gautam Kamath , Ananda Theertha Suresh , Huanyu Zhang

Recent model inversion attack algorithms permit adversaries to reconstruct a neural network's private and potentially sensitive training data by repeatedly querying the network. In this work, we develop a novel network architecture that…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Sayanton V. Dibbo , Adam Breuer , Juston Moore , Michael Teti

Deep Neural Networks have been widely used in many fields. However, studies have shown that DNNs are easily attacked by adversarial examples, which have tiny perturbations and greatly mislead the correct judgment of DNNs. Furthermore, even…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Shaowei Zhu , Wanli Lyu , Bin Li , Zhaoxia Yin , Bin Luo

Graph codes play an important role in photonic quantum technologies as they provide significant protection against qubit loss, a dominant noise mechanism. Here, we develop methods to analyse and optimise measurement-based tolerance to qubit…

Quantum Physics · Physics 2022-12-12 Tom J. Bell , Love A. Pettersson , Stefano Paesani

We lay down the foundations of the Eigenvalue Method in coding theory. The method uses modern algebraic graph theory to derive upper bounds on the size of error-correcting codes for various metrics, addressing major open questions in the…

Combinatorics · Mathematics 2025-09-24 Aida Abiad , Loes Peters , Alberto Ravagnani

We study and further develop powerful general-purpose schemes to maintain random assignments under adversarial dynamic changes. The goal is to maintain assignments that are (approximately) distributed similarly as a completely fresh…

Data Structures and Algorithms · Computer Science 2026-04-08 Bernhard Haeupler , Anton Paramonov

Deep neural networks have been proved that they are vulnerable to adversarial examples, which are generated by adding human-imperceptible perturbations to images. To defend these adversarial examples, various detection based methods have…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Kejiang Chen , Yuefeng Chen , Hang Zhou , Chuan Qin , Xiaofeng Mao , Weiming Zhang , Nenghai Yu

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

For a $d$-uniform random hypergraph on $n$ vertices in which hyperedges are included i.i.d.\ so that the average degree in the hypergraph is $n^{\delta+o(1)}$, the projection of such a hypergraph is a graph on the same $n$ vertices where an…

Statistics Theory · Mathematics 2026-04-03 Shuyang Gong , Zhangsong Li , Qiheng Xu

Vertex classification is vulnerable to perturbations of both graph topology and vertex attributes, as shown in recent research. As in other machine learning domains, concerns about robustness to adversarial manipulation can prevent…

Machine Learning · Computer Science 2020-03-13 Benjamin A. Miller , Mustafa Çamurcu , Alexander J. Gomez , Kevin Chan , Tina Eliassi-Rad

CNNs are poised to become integral parts of many critical systems. Despite their robustness to natural variations, image pixel values can be manipulated, via small, carefully crafted, imperceptible perturbations, to cause a model to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

In a recent paper, Jaggi et al. (INFOCOM 2007), presented a distributed polynomial-time rate-optimal network-coding scheme that works in the presence of Byzantine faults. We revisit their adversarial models and augment them with three,…

Information Theory · Computer Science 2008-02-06 Leah Nutman , Michael Langberg

Extensive research has highlighted the vulnerability of graph neural networks (GNNs) to adversarial attacks, including manipulation, node injection, and the recently emerging threat of backdoor attacks. However, existing defenses typically…

Machine Learning · Computer Science 2025-10-20 Yuyuan Feng , Bin Ma , Enyan Dai
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