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We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

Preferential attachment is a popular model of growing networks. We consider a generalized model with random node removal, and a combination of preferential and random attachment. Using a high-degree expansion of the master equation, we…

Statistical Mechanics · Physics 2012-01-20 Heiko Bauke , Cristopher Moore , Jean-Baptiste Rouquier , David Sherrington

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

We introduce a formalism based on a continuous time approximation, to study the characteristics of Page Rank random walks. We find that the diffusion of the occupancy probability has a dynamics that exponentially "forgets" the initial…

Statistical Mechanics · Physics 2020-07-17 Emilio Aced Fuentes , Simone Santini

We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible.…

Statistical Mechanics · Physics 2009-11-10 Vittoria Colizza , Jayanth R. Banavar , Amos Maritan , Andrea Rinaldo

In many real applications that use and analyze networked data, the links in the network graph may be erroneous, or derived from probabilistic techniques. In such cases, the node classification problem can be challenging, since the…

Databases · Computer Science 2014-05-23 Michele Dallachiesa , Charu Aggarwal , Themis Palpanas

In many real-world networks, nodes have class labels, attributes, or variables that affect the network's topology. If the topology of the network is known but the labels of the nodes are hidden, we would like to select a small subset of…

Information Theory · Computer Science 2011-09-16 Cristopher Moore , Xiaoran Yan , Yaojia Zhu , Jean-Baptiste Rouquier , Terran Lane

We study the problem of learning the Markov order in categorical sequences that represent paths in a network, i.e. sequences of variable lengths where transitions between states are constrained to a known graph. Such data pose challenges…

Machine Learning · Computer Science 2020-07-07 Luka V. Petrović , Ingo Scholtes

Network reliability is a well-studied problem that requires to measure the probability that a target node is reachable from a source node in a probabilistic (or uncertain) graph, i.e., a graph where every edge is assigned a probability of…

Social and Information Networks · Computer Science 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

Modern navigation services often provide multiple paths connecting the same source and destination for users to select. Hence, ranking such paths becomes increasingly important, which directly affects the service quality. We present…

Machine Learning · Computer Science 2019-07-10 Sean Bin Yang , Bin Yang

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

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

This research considers Bayesian decision-analytic approaches toward the traversal of an uncertain graph. Namely, a traveler progresses over a graph in which rewards are gained upon a node's first visit and costs are incurred for every edge…

Artificial Intelligence · Computer Science 2025-03-11 William N. Caballero , Phillip R. Jenkins , David Banks , Matthew Robbins

Estimation of latent network flows is a common problem in statistical network analysis. The typical setting is that we know the margins of the network, i.e. in- and outdegrees, but the flows are unobserved. In this paper, we develop a mixed…

Applications · Statistics 2020-01-23 Marc Schneble , Göran Kauermann

We study the fluctuation properties and return-time statistics on inhomogeneous scale-free networks using packets moving with two different dynamical rules; random diffusion and locally navigated diffusive motion with preferred edges.…

Materials Science · Physics 2008-02-25 Bernard Kujawski , Bosiljka Tadic , Geoff J. Rodgers

Decision-making problems often feature uncertainty stemming from heterogeneous and context-dependent human preferences. To address this, we propose a sequential learning-and-optimization pipeline to learn preference distributions and…

Machine Learning · Computer Science 2026-03-19 Benjamin Hudson , Laurent Charlin , Emma Frejinger

To address the sparsity and cold start problem of collaborative filtering, researchers usually make use of side information, such as social networks or item attributes, to improve recommendation performance. This paper considers the…

Information Retrieval · Computer Science 2018-08-28 Hongwei Wang , Fuzheng Zhang , Jialin Wang , Miao Zhao , Wenjie Li , Xing Xie , Minyi Guo

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

We address the problem of selecting $k$ representative nodes from a network, aiming to achieve two objectives: identifying the most influential nodes and ensuring the selection proportionally reflects the network's diversity. We propose two…

Computer Science and Game Theory · Computer Science 2026-05-21 Georgios Papasotiropoulos , Oskar Skibski , Piotr Skowron , Tomasz Wąs

The nodes' interconnections on a social network often reflect their dependencies and information-sharing behaviors. Nevertheless, abnormal nodes, which significantly deviate from most of the network concerning patterns or behaviors, can…

Multiagent Systems · Computer Science 2025-08-28 Xiaotong Cheng , Setareh Maghsudi