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We propose a novel statistical model for sparse networks with overlapping community structure. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with…

Methodology · Statistics 2025-02-06 Adrien Todeschini , Xenia Miscouridou , François Caron

In this paper, we analyze the dynamics of spreading processes taking place over time-varying networks. A common approach to model time-varying networks is via Markovian random graph processes. This modeling approach presents the following…

Social and Information Networks · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

Network sampling is integral to the analysis of social, information, and biological networks. Since many real-world networks are massive in size, continuously evolving, and/or distributed in nature, the network structure is often sampled in…

Social and Information Networks · Computer Science 2012-11-16 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

Randomising networks using a naive `accept-all' edge-swap algorithm is generally biased. Building on recent results for nondirected graphs, we construct an ergodic detailed balance Markov chain with non-trivial acceptance probabilities for…

Quantitative Methods · Quantitative Biology 2011-12-21 E. S. Roberts , A. C. C. Coolen

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

It has become increasingly easy nowadays to collect approximate posterior samples via fast algorithms such as variational Bayes, but concerns exist about the estimation accuracy. It is tempting to build solutions that exploit approximate…

Computation · Statistics 2024-06-17 Leo L. Duan , Anirban Bhattacharya

In networking applications, one often wishes to obtain estimates about the number of objects at different parts of the network (e.g., the number of cars at an intersection of a road network or the number of packets expected to reach a node…

Social and Information Networks · Computer Science 2020-06-22 Harshal A. Chaudhari , Michael Mathioudakis , Evimaria Terzi

Performing signal processing over graphs requires knowledge of the underlying fixed topology. However, graphs often grow in size with new nodes appearing over time, whose connectivity is typically unknown; hence, making more challenging the…

Signal Processing · Electrical Eng. & Systems 2022-03-16 Bishwadeep Das , Elvin Isufi

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

Machine Learning · Computer Science 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

Social networks have a small number of large hubs, and a large number of small dense communities. We propose a generative model that captures both hub and dense structures. Based on recent results about graphons on line graphs, our model is…

Machine Learning · Statistics 2025-10-10 Sevvandi Kandanaarachchi , Cheng Soon Ong

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

Social and Information Networks · Computer Science 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

Markov networks are frequently used in sciences to represent conditional independence relationships underlying observed variables arising from a complex system. It is often of interest to understand how an underlying network differs between…

Methodology · Statistics 2021-04-26 Byol Kim , Song Liu , Mladen Kolar

The lack of large-scale, continuously evolving empirical data usually limits the study of networks to the analysis of snapshots in time. This approach has been used for verification of network evolution mechanisms, such as preferential…

Physics and Society · Physics 2019-10-10 Lazaros K. Gallos , Shlomo Havlin , H. Eugene Stanley , Nina H. Fefferman

Complex networks have played an important role in describing real complex systems since the end of the last century. Recently, research on real-world data sets reports intermittent interaction among social individuals. In this paper, we pay…

Social and Information Networks · Computer Science 2025-11-25 Ziyan Zeng , Minyu Feng , Jürgen Kurths

Detecting malicious activity within an enterprise computer network can be framed as a temporal link prediction task: given a sequence of graphs representing communications between hosts over time, the goal is to predict which edges…

Cryptography and Security · Computer Science 2023-03-29 Corentin Larroche

Theoretical computer science plays an important role in the understanding of social networks and their properties. We can model information rippling throughout social networks, or the opinions of social media users for example, using graph…

Discrete Mathematics · Computer Science 2024-06-11 Timothy Horscroft

Network science has become a powerful tool to describe the structure and dynamics of real-world complex physical, biological, social, and technological systems. Largely built on empirical observations to tackle heterogeneous, temporal, and…

Physics and Society · Physics 2021-04-28 Gerardo Iñiguez , Federico Battiston , Márton Karsai

We analyze a distributed algorithm for estimation of scalar parameters belonging to nodes in a mobile network from noisy relative measurements. The motivation comes from the problem of clock skew and offset estimation for the purpose of…

Systems and Control · Computer Science 2013-02-20 Chenda Liao , Prabir Barooah

Financial institutions obtain enormous amounts of data about user transactions and money transfers, which can be considered as a large graph dynamically changing in time. In this work, we focus on the task of predicting new interactions in…

Machine Learning · Statistics 2020-01-24 Valentina Shumovskaia , Kirill Fedyanin , Ivan Sukharev , Dmitry Berestnev , Maxim Panov

A new scheme to sample signals defined in the nodes of a graph is proposed. The underlying assumption is that such signals admit a sparse representation in a frequency domain related to the structure of the graph, which is captured by the…

Social and Information Networks · Computer Science 2016-04-20 Antonio G. Marques , Santiago Segarra , Geert Leus , Alejandro Ribeiro