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We consider the detection of activations over graphs under Gaussian noise, where signals are piece-wise constant over the graph. Despite the wide applicability of such a detection algorithm, there has been little success in the development…

Machine Learning · Statistics 2012-07-13 James Sharpnack , Akshay Krishnamurthy , Aarti Singh

In the Internet of Things (IoT) devices are exposed to various kinds of attacks when connected to the Internet. An attack detection mechanism that understands the limitations of these severely resource-constrained devices is necessary. This…

Cryptography and Security · Computer Science 2017-01-25 Nidhi Rastogi , James Hendler

One-dimensional geometric random graphs are constructed by distributing $n$ nodes uniformly and independently on a unit interval and then assigning an undirected edge between any two nodes that have a distance at most $r_n$. These graphs…

Physics and Society · Physics 2015-02-20 Jun Zhao , Osman Yağan , Virgil Gligor

IThe botnet is considered as a critical issue of the Internet due to its fast growing mechanism and affect. Recently, Botnets have utilized the DNS and query DNS server just like any legitimate hosts. In this case, it is difficult to…

Networking and Internet Architecture · Computer Science 2009-11-04 Ahmed M. Manasrah , Awsan Hasan , Omar Amer Abouabdalla , Sureswaran Ramadass

This paper considers the problem of simultaneous sensor fault detection, isolation, and networked estimation of linear full-rank dynamical systems. The proposed networked estimation is a variant of single time-scale protocol and is based on…

Systems and Control · Electrical Eng. & Systems 2020-09-28 Mohammadreza Doostmohammadian , Nader Meskin

We study the problem of detecting the edge correlation between two random graphs with $n$ unlabeled nodes. This is formalized as a hypothesis testing problem, where under the null hypothesis, the two graphs are independently generated;…

Statistics Theory · Mathematics 2021-02-09 Yihong Wu , Jiaming Xu , Sophie H. Yu

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

Conventional network data has largely focused on pairwise interactions between two entities, yet multi-way interactions among multiple entities have been frequently observed in real-life hypergraph networks. In this article, we propose a…

Machine Learning · Statistics 2021-09-06 Yaoming Zhen , Junhui Wang

Bots constitute a significant portion of Internet traffic and are a source of various issues across multiple domains. Modern bots often become indistinguishable from real users, as they employ similar methods to browse the web, including…

Machine Learning · Computer Science 2024-12-04 Jan Kadel , August See , Ritwik Sinha , Mathias Fischer

We consider that a network is an observation, and a collection of observed networks forms a sample. In this setting, we provide methods to test whether all observations in a network sample are drawn from a specified model. We achieve this…

Methodology · Statistics 2020-04-17 P-A. G. Maugis , Carey E. Priebe , S. C. Olhede , P. J. Wolfe

We consider the task of detecting a hidden bipartite subgraph in a given random graph. This is formulated as a hypothesis testing problem, under the null hypothesis, the graph is a realization of an Erd\H{o}s-R\'{e}nyi random graph over $n$…

Data Structures and Algorithms · Computer Science 2024-03-07 Asaf Rotenberg , Wasim Huleihel , Ofer Shayevitz

In this contribution we discuss some approaches of network analysis providing information about single links or single nodes with respect to a null hypothesis taking into account the heterogeneity of the system empirically observed. With…

Methodology · Statistics 2021-08-30 Salvatore Miccichè , Rosario Nunzio Mantegna

Botnet attacks are a major threat to networked systems because of their ability to turn the network nodes that they compromise into additional attackers, leading to the spread of high volume attacks over long periods. The detection of such…

Networking and Internet Architecture · Computer Science 2023-03-27 Erol Gelenbe , Mert Nakıp

We consider methods for quantifying the similarity of vertices in networks. We propose a measure of similarity based on the concept that two vertices are similar if their immediate neighbors in the network are themselves similar. This leads…

Physics and Society · Physics 2007-05-23 E. A. Leicht , Petter Holme , M. E. J. Newman

We consider the problem of detecting whether or not, in a given sensor network, there is a cluster of sensors which exhibit an "unusual behavior." Formally, suppose we are given a set of nodes and attach a random variable to each node. We…

Statistics Theory · Mathematics 2011-03-10 Ery Arias-Castro , Emmanuel J. Candès , Arnaud Durand

We consider the problem of testing whether two finite-dimensional random dot product graphs have generating latent positions that are independently drawn from the same distribution, or distributions that are related via scaling or…

Statistics Theory · Mathematics 2015-11-13 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Networks and data supported on graphs have become ubiquitous in the sciences and engineering. This paper studies the 'blind' community detection problem, where we seek to infer the community structure of a graph model given the observation…

Social and Information Networks · Computer Science 2020-10-28 T. Mitchell Roddenberry , Michael T. Schaub , Hoi-To Wai , Santiago Segarra

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra