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In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

Discrete Mathematics · Computer Science 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

Recent studies show that Graph Neural Networks (GNNs) are vulnerable to adversarial attack, i.e., an imperceptible structure perturbation can fool GNNs to make wrong predictions. Some researches explore specific properties of clean graphs…

Machine Learning · Computer Science 2022-03-23 Guangqian Yang , Yibing Zhan , Jinlong Li , Baosheng Yu , Liu Liu , Fengxiang He

Online social networks are being increasingly used for analyzing various societal phenomena such as epidemiology, information dissemination, marketing and sentiment flow. Popular analysis techniques such as clustering and influential node…

Cryptography and Security · Computer Science 2013-07-02 Faraz Ahmed , Rong Jin , Alex X. Liu

Although recent network representation learning (NRL) works in text-attributed networks demonstrated superior performance for various graph inference tasks, learning network representations could always raise privacy concerns when nodes…

Machine Learning · Computer Science 2023-02-10 Huixin Zhan , Victor S. Sheng

Graph neural networks (GNNs) have achieved tremendous success in the task of graph classification and its diverse downstream real-world applications. Despite the huge success in learning graph representations, current GNN models have…

Social and Information Networks · Computer Science 2023-09-07 Xin Wang , Heng Chang , Beini Xie , Tian Bian , Shiji Zhou , Daixin Wang , Zhiqiang Zhang , Wenwu Zhu

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

Physics and Society · Physics 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Graph is an important data representation ubiquitously existing in the real world. However, analyzing the graph data is computationally difficult due to its non-Euclidean nature. Graph embedding is a powerful tool to solve the graph…

Cryptography and Security · Computer Science 2021-10-07 Zhikun Zhang , Min Chen , Michael Backes , Yun Shen , Yang Zhang

Evaluating similarity between graphs is of major importance in several computer vision and pattern recognition problems, where graph representations are often used to model objects or interactions between elements. The choice of a distance…

Computer Vision and Pattern Recognition · Computer Science 2017-06-15 Sofia Ira Ktena , Sarah Parisot , Enzo Ferrante , Martin Rajchl , Matthew Lee , Ben Glocker , Daniel Rueckert

Graphs are commonly used to model complex networks prevalent in modern social media and literacy applications. Our research investigates the vulnerability of these graphs through the application of feature based adversarial attacks,…

Social and Information Networks · Computer Science 2024-03-06 Ying Xu , Michael Lanier , Anindya Sarkar , Yevgeniy Vorobeychik

Learning on graphs is becoming prevalent in a wide range of applications including social networks, robotics, communication, medicine, etc. These datasets belonging to entities often contain critical private information. The utilization of…

Machine Learning · Computer Science 2023-05-22 Nimesh Agrawal , Nikita Malik , Sandeep Kumar

In the modern age of social media and networks, graph representations of real-world phenomena have become an incredibly useful source to mine insights. Often, we are interested in understanding how entities in a graph are interconnected.…

Machine Learning · Computer Science 2021-12-16 Aneesh Komanduri , Justin Zhan

Deep neural networks (DNNs) have achieved significant performance in various tasks. However, recent studies have shown that DNNs can be easily fooled by small perturbation on the input, called adversarial attacks. As the extensions of DNNs…

Machine Learning · Computer Science 2020-12-15 Wei Jin , Yaxin Li , Han Xu , Yiqi Wang , Shuiwang Ji , Charu Aggarwal , Jiliang Tang

A self-repelling random walk of a token on a graph is one in which at each step, the token moves to a neighbor that has been visited least often (with ties broken randomly). The properties of self-repelling random walks have been analyzed…

Networking and Internet Architecture · Computer Science 2017-08-24 Vinod Kulathumani , Masahiro Nakagawa , Anish Arora

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

Message passing graph neural networks (GNNs) are a popular learning architectures for graph-structured data. However, one problem GNNs experience is oversquashing, where a GNN has difficulty sending information between distant nodes.…

Machine Learning · Computer Science 2023-06-07 Mitchell Black , Zhengchao Wan , Amir Nayyeri , Yusu Wang

In this paper, we study the robustness of graph convolutional networks (GCNs). Despite the good performance of GCNs on graph semi-supervised learning tasks, previous works have shown that the original GCNs are very unstable to adversarial…

Machine Learning · Computer Science 2019-11-12 Xiaoyun Wang , Xuanqing Liu , Cho-Jui Hsieh

Large scale complex systems, such as social networks, electrical power grid, database structure, consumption pattern or brain connectivity, are often modeled using network graphs. Valuable insight can be gained by measuring the similarity…

Quantum Physics · Physics 2019-03-01 Callum Schofield , Jingbo B. Wang , Yuying Li

Deep learning models for graphs have achieved strong performance for the task of node classification. Despite their proliferation, currently there is no study of their robustness to adversarial attacks. Yet, in domains where they are likely…

Machine Learning · Statistics 2021-12-10 Daniel Zügner , Amir Akbarnejad , Stephan Günnemann

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan