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The k-shell decomposition of a random graph provides a different and more insightful separation of the roles of the different nodes in such a graph than does the usual analysis in terms of node degrees. We develop this approach in order to…

Disordered Systems and Neural Networks · Physics 2007-06-23 Shai Carmi , Shlomo Havlin , Scott Kirkpatrick , Yuval Shavitt , Eran Shir

Understanding what is normal is a key aspect of protecting a domain. Other domains invest heavily in observational science to develop models of normal behavior to better detect anomalies. Recent advances in high performance graph libraries,…

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Traffic anomalies and attacks are commonplace in today's networks and identifying them rapidly and accurately is critical for large network operators. For a statistical intrusion detection system (IDS), it is crucial to detect at the…

Graphics · Computer Science 2025-06-27 Pin Ren , Yan Gao , Zhichun Li , Yan Chen , Benjamin Watson

We study information-theoretic phase transitions for the detectability of latent geometry in bipartite random geometric graphs RGGs with Gaussian d-dimensional latent vectors while only a subset of edges carries latent information…

Probability · Mathematics 2026-04-13 Andreas Göbel , Marcus Pappik , Leon Schiller

Mapping the Internet generally consists in sampling the network from a limited set of sources by using traceroute-like probes. This methodology, akin to the merging of different spanning trees to a set of destination, has been argued to…

Networking and Internet Architecture · Computer Science 2011-11-09 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Getting good statistical models of traffic on network links is a well-known, often-studied problem. A lot of attention has been given to correlation patterns and flow duration. The distribution of the amount of traffic per unit time is an…

Networking and Internet Architecture · Computer Science 2019-02-12 Mohammed Alasmar , George Parisis , Richard G. Clegg , Nickolay Zakhleniuk

Network security has been an active research topic for long. One critical issue is improving the anomaly detection capability of intrusion detection systems (IDSs), such as firewalls. However, existing network anomaly datasets are out of…

Cryptography and Security · Computer Science 2021-03-11 Lei Chen , Shao-En Weng , Chu-Jun Peng , Hong-Han Shuai , Wen-Huang Cheng

Cyberthreats are a permanent concern in our modern technological world. In the recent years, sophisticated traffic analysis techniques and anomaly detection (AD) algorithms have been employed to face the more and more subversive adversarial…

Machine Learning · Computer Science 2022-05-17 Paul Irofti , Andrei Pătraşcu , Andrei Iulian Hîji

Social media, e-commerce, streaming video, e-mail, cloud documents, web pages, traffic flows, and network packets fill vast digital lakes, rivers, and oceans that we each navigate daily. This digital hyperspace is an amorphous flow of data…

Mathematical Software · Computer Science 2021-07-20 Jeremy Kepner , Timothy Davis , Vijay Gadepally , Hayden Jananthan , Lauren Milechin

Early detection of network intrusions and cyber threats is one of the main pillars of cybersecurity. One of the most effective approaches for this purpose is to analyze network traffic with the help of artificial intelligence algorithms,…

Cryptography and Security · Computer Science 2024-02-13 Giacomo Zonneveld , Lorenzo Principi , Marco Baldi

Network telescopes or "Darknets" provide a unique window into Internet-wide malicious activities associated with malware propagation, denial of service attacks, scanning performed for network reconnaissance, and others. Analyses of the…

Cryptography and Security · Computer Science 2021-08-09 Michalis Kallitsis , Vasant Honavar , Rupesh Prajapati , Dinghao Wu , John Yen

Identifying the source of epidemic-like spread in networks is crucial for removing internet viruses or finding the source of rumors in online social networks. The challenge lies in tracing the source from a snapshot observation of infected…

Social and Information Networks · Computer Science 2024-10-10 Pei-Duo Yu , Chee Wei Tan

Vertex similarity is a major problem in network science with a wide range of applications. In this work we provide novel perspectives on finding (dis)similar vertices within a network and across two networks with the same number of vertices…

Social and Information Networks · Computer Science 2013-05-28 Charalampos E. Tsourakakis

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? Existing approaches aim to detect individually…

Machine Learning · Computer Science 2020-08-25 Siddharth Bhatia , Bryan Hooi , Minji Yoon , Kijung Shin , Christos Faloutsos

We consider the problem of graph matching for a sequence of graphs generated under a time-dependent Markov chain noise model. Our edgelighter error model, a variant of the classical lamplighter random walk, iteratively corrupts the graph…

Statistics Theory · Mathematics 2026-01-29 Zhirui Li , Keith D. Levin , Zhiang Zhao , Vince Lyzinski

Through detailed analysis of scores of publicly available data sets corresponding to a wide range of large-scale networks, from communication and road networks to various forms of social networks, we explore a little-studied geometric…

Physics and Society · Physics 2013-07-02 W. Sean Kennedy , Onuttom Narayan , Iraj Saniee

Getting good statistical models of traffic on network links is a well-known, often-studied problem. A lot of attention has been given to correlation patterns and flow duration. The distribution of the amount of traffic per unit time is an…

Networking and Internet Architecture · Computer Science 2021-02-26 Mohammed Alasmar , Richard Clegg , Nickolay Zakhleniuk , George Parisis

Network-wide traffic flow, which captures dynamic traffic volume on each link of a general network, is fundamental to smart mobility applications. However, the observed traffic flow from sensors is usually limited across the entire network…

Machine Learning · Computer Science 2025-02-07 Zijian Hu , Zhenjie Zheng , Monica Menendez , Wei Ma

The rise of automated scanning tools and AI assisted reconnaissance agents has significantly altered internet background traffic patterns, threatening the baseline assumptions underlying intrusion detection systems (IDS) deployed in…

Cryptography and Security · Computer Science 2026-05-15 Alex Carbajal , Caleb Faultersack , Jonahtan Vasquez , Shereen Ismail , Asma Jodeiri Akbarfam