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In this work, we study the problem of community detection in the stochastic block model with adversarial node corruptions. Our main result is an efficient algorithm that can tolerate an $\epsilon$-fraction of corruptions and achieves error…

Data Structures and Algorithms · Computer Science 2022-07-26 Allen Liu , Ankur Moitra

In this paper, we propose a novel semi-parametric probabilistic model which considers interactions between different communities and can provide more information about the network topology besides correctly detecting communities. By using…

Physics and Society · Physics 2008-07-11 Wei Ren , Guiying Yan , Xiaoping Liao

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

Physics and Society · Physics 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

Communities are an important feature of social networks. The goal of this paper is to propose a mathematical model to study the community structure in social networks. For this, we consider a particular case of a social network, namely…

Social and Information Networks · Computer Science 2020-04-14 Peter Marbach

Identifying significant community structures in networks with incomplete data is a challenging task, as the reliability of solutions diminishes with increasing levels of missing information. However, in many empirical contexts, some…

Social and Information Networks · Computer Science 2024-10-28 Nicola Pedreschi , Renaud Lambiotte , Alexandre Bovet

In the standard stochastic block model for networks, the probability of a connection between two nodes, often referred to as the edge probability, depends on the unobserved communities each of these nodes belongs to. We consider a flexible…

Econometrics · Economics 2024-02-27 Yuichi Kitamura , Louise Laage

A team of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node and declare that they have all met. Agents have different labels and move in synchronous rounds along…

Data Structures and Algorithms · Computer Science 2019-09-02 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc

We study a general framework for broadcast gossip algorithms which use companion variables to solve the average consensus problem. Each node maintains an initial state and a companion variable. Iterative updates are performed asynchronously…

Systems and Control · Computer Science 2012-09-03 Wu Shaochuan , Michael G. Rabbat

We investigate signed networks with community structure with respect to their spectrum and their evolution under a dynamical model of structural balance, a prominent theory of signed social networks. The spectrum of the adjacency matrix…

Social and Information Networks · Computer Science 2020-07-15 Megan Morrison , Michael Gabbay

How can we uncover the natural communities in a real network that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new community detection algorithm, called Attractor, which…

Social and Information Networks · Computer Science 2014-09-30 Junming Shao , Zhichao Han , Qinli Yang

This paper considers the problem of community detection on multiple potentially correlated graphs from an information-theoretical perspective. We first put forth a random graph model, called the multi-view stochastic block model (MVSBM),…

Social and Information Networks · Computer Science 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li

We consider the stochastic block model where connection between vertices is perturbed by some latent (and unobserved) random geometric graph. The objective is to prove that spectral methods are robust to this type of noise, even if they are…

Machine Learning · Computer Science 2020-11-10 Sandrine Peche , Vianney Perchet

Gossip protocols are popular methods for average consensus problems in distributed computing. We prove new convergence guarantees for a variety of such protocols, including path, clique, and synchronous pairwise gossip. These arise by…

Optimization and Control · Mathematics 2021-10-28 Jamie Haddock , Benjamin Jarman , Chen Yap

Detecting community structure in social networks is a fundamental problem empowering us to identify groups of actors with similar interests. There have been extensive works focusing on finding communities in static networks, however, in…

Social and Information Networks · Computer Science 2018-02-26 Saeed Haji Seyed Javadi , Pedram Gharani , Shahram Khadivi

Gossip has been shown to be a relatively efficient solution to problems of cooperation in reputation-based systems of exchange, but many studies don't conceptualize gossiping in a realistic way, often assuming near-perfect information or…

Multiagent Systems · Computer Science 2025-11-26 Jan Majewski , Francesca Giardini

Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders and ignorants. Spreaders can become stiflers only after…

We present a family of gossiping algorithms whose members share the same structure though they vary their performance in function of a combinatorial parameter. We show that such parameter may be considered as a "knob" controlling the amount…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-09 Vincenzo De Florio , Chris Blondia

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local…

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

Social and Information Networks · Computer Science 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem