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We derive asymptotic properties for a stochastic dynamic network model in a stochastic dynamic population. In the model, nodes give birth to new nodes until they die, each node being equipped with a social index given at birth. During the…

Probability · Mathematics 2019-07-10 Tom Britton , Mathias Lindholm , Tatyana Turova

Part I of this paper considered optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network…

Multiagent Systems · Computer Science 2019-07-01 Roula Nassif , Stefan Vlaski , Ali H. Sayed

This paper focuses on the analytical probabilistic modeling of vehicular traffic. It formulates a stochastic node model. It then formulates a network model by coupling the node model with the link model of Lu and Osorio (2018), which is a…

Computer Science and Game Theory · Computer Science 2022-09-07 Jing Lu , Carolina Osorio

During the last decade, we witnessed a rapid growth in deployment of pull-based P2P streaming applications. In these applications, each node selects some other nodes as its neighbors and requests streaming data from them. This scheme allows…

Networking and Internet Architecture · Computer Science 2013-10-22 Abbas Bradai , Toufik Ahmed

In many real-world networks, the rates of node and link addition are time dependent. This observation motivates the definition of accelerating networks. There has been relatively little investigation of accelerating networks and previous…

Physics and Society · Physics 2009-10-08 David M. D. Smith , Jukka-Pekka Onnela , Nick S. Jones

This paper presents an analytical framework to model fault-tolerance in unstructured peer-to-peer overlays, represented as complex networks. We define a distributed protocol peers execute for managing the overlay and reacting to node…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-09 Stefano Ferretti

This paper considers the problem of randomized influence maximization over a Markovian graph process: given a fixed set of nodes whose connectivity graph is evolving as a Markov chain, estimate the probability distribution (over this fixed…

Social and Information Networks · Computer Science 2017-11-10 Buddhika Nettasinghe , Vikram Krishnamurthy

Paper proposes a model of large networks based on a random preferential attachment graph with addition of complete subgraphs (cliques). The proposed model refers to models of random graphs following the nonlinear preferential attachment…

Social and Information Networks · Computer Science 2019-04-05 E. B. Yudin

Online social networks play a major role in the spread of information at very large scale and it becomes essential to provide means to analyse this phenomenon. In this paper we address the issue of predicting the temporal dynamics of the…

Social and Information Networks · Computer Science 2013-03-26 Adrien Guille , Hakim Hacid , Cécile Favre

Models of dynamic networks --- networks that evolve over time --- have manifold applications. We develop a discrete-time generative model for social network evolution that inherits the richness and flexibility of the class of…

Methodology · Statistics 2015-03-24 Pavel N. Krivitsky , Mark S. Handcock

Will a new smartphone application diffuse deeply in the population or will it sink into oblivion soon? To predict this, we argue that common models of spread of innovations based on cascade dynamics or epidemics may not be fully adequate.…

Social and Information Networks · Computer Science 2021-03-02 Fabio Fagnani , Lorenzo Zino

Graph neural networks (GNNs) have achieved strong performance in various applications. In the real world, network data is usually formed in a streaming fashion. The distributions of patterns that refer to neighborhood information of nodes…

Machine Learning · Computer Science 2020-12-07 Junshan Wang , Guojie Song , Yi Wu , Liang Wang

Detecting abrupt changes in streaming graph signals is relevant in a variety of applications ranging from energy and water supplies, to environmental monitoring. In this paper, we address this problem when anomalies activate localized…

Signal Processing · Electrical Eng. & Systems 2019-10-16 André Ferrari , Cédric Richard , Louis Verduci

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

Discrete Mathematics · Computer Science 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

Machine Learning · Statistics 2016-12-21 Brian Baingana , Georgios B. Giannakis

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

The degree distribution of a graph $G=(V,E)$, $|V|=n$, $|E|=m$ is one of the most fundamental objects of study in the analysis of graphs as it embodies relationship among entities. In particular, an important derived distribution from…

Data Structures and Algorithms · Computer Science 2025-07-30 Arijit Bishnu , Debarshi Chanda , Gopinath Mishra

Representation learning of static and more recently dynamically evolving graphs has gained noticeable attention. Existing approaches for modelling graph dynamics focus extensively on the evolution of individual nodes independently of the…

Machine Learning · Computer Science 2021-05-12 Simeon Spasov , Alessandro Di Stefano , Pietro Lio , Jian Tang

The sheer increase in the size of graph data has created a lot of interest into developing efficient distributed graph processing frameworks. Popular existing frameworks such as Graphlab and Pregel rely on balanced graph partitioning in…

Data Structures and Algorithms · Computer Science 2014-08-21 Charalampos E. Tsourakakis