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Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the…

Social and Information Networks · Computer Science 2013-11-06 Arash A. Amini , Aiyou Chen , Peter J. Bickel , Elizaveta Levina

The stochastic block model is a powerful tool for inferring community structure from network topology. However, it predicts a Poisson degree distribution within each community, while most real-world networks have a heavy-tailed degree…

Social and Information Networks · Computer Science 2012-06-01 Yaojia Zhu , Xiaoran Yan , Cristopher Moore

We present new algorithms for Personalized PageRank estimation and Personalized PageRank search. First, for the problem of estimating Personalized PageRank (PPR) from a source distribution to a target node, we present a new bidirectional…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren , Siddhartha Banerjee , Ashish Goel

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

Statistics Theory · Mathematics 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

The spread of influence in networks is a topic of great importance in many application areas. For instance, one would like to maximise the coverage, limiting the budget for marketing campaign initialisation and use the potential of social…

Social and Information Networks · Computer Science 2020-09-11 Radosław Michalski , Jarosław Jankowski , Piotr Bródka

A multilevel network is defined as the junction of two interaction networks, one level representing the interactions between individuals and the other the interactions between organizations. The levels are linked by an affiliation…

Methodology · Statistics 2023-12-04 Saint-Clair Chabert-Liddell , Pierre Barbillon , Sophie Donnet , Emmanuel Lazega

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

Finding a small subset of influential nodes to maximise influence spread in a complex network is an active area of research. Different methods have been proposed in the past to identify a set of seed nodes that can help achieve a faster…

Social and Information Networks · Computer Science 2022-12-23 Abida Sadaf , Luke Mathieson , Piotr Bródka , Katarzyna Musial

We present a comprehensive analysis of algebraic methods for controlling the stationary distribution of PageRank-like random walkers. Building upon existing literature, we compile and extend results regarding both structural control…

Social and Information Networks · Computer Science 2025-08-26 Gonzalo Contreras-Aso , Regino Criado , Miguel Romance

We study the Personalized PageRank (PPR) algorithm, a local spectral method for clustering, which extracts clusters using locally-biased random walks around a given seed node. In contrast to previous work, we adopt a classical statistical…

Statistics Theory · Mathematics 2021-12-24 Alden Green , Sivaraman Balakrishnan , Ryan J. Tibshirani

Suppose that a graph is realized from a stochastic block model where one of the blocks is of interest, but many or all of the vertices' block labels are unobserved. The task is to order the vertices with unobserved block labels into a…

Machine Learning · Statistics 2015-11-18 D. E. Fishkind , V. Lyzinski , H. Pao , L. Chen , C. E. Priebe

Network embedding methodologies, which learn a distributed vector representation for each vertex in a network, have attracted considerable interest in recent years. Existing works have demonstrated that vertex representation learned through…

Machine Learning · Computer Science 2018-08-22 Vachik S. Dave , Baichuan Zhang , Pin-Yu Chen , Mohammad Al Hasan

In this paper, we address the problem of personalized next Point-of-interest (POI) recommendation which has become an important and very challenging task for location-based social networks (LBSNs), but not well studied yet. With the…

Social and Information Networks · Computer Science 2018-05-17 Jing He , Xin Li , Lejian Liao , Williamb K. Cheung

For maximizing influence spread in a social network, given a certain budget on the number of seed nodes, we investigate the effects of selecting and activating the seed nodes in multiple phases. In particular, we formulate an appropriate…

Social and Information Networks · Computer Science 2015-02-24 Swapnil Dhamal , Prabuchandran K. J. , Y. Narahari

Various types of promising techniques have come into being for influence maximization whose aim is to identify influential nodes in complex networks. In essence, real-world applications usually have high requirements on the balance between…

Social and Information Networks · Computer Science 2024-09-24 Yi Liu , Xiaoan Tang , Witold Pedrycz , Qiang Zhang

Ranking nodes in networks according to a defined measure of importance is an extensively studied task, with applications in ecology, economic trade networks, and social networks. This paper introduces a method based on a non-linear…

Statistical Mechanics · Physics 2025-04-01 Andrea Mazzolini , Michele Caselle , Matteo Osella

Respondent-driven sampling (RDS) is a popular approach to study marginalized or hard-to-reach populations. It collects samples from a networked population by incentivizing participants to refer their friends into the study. One major…

Statistics Theory · Mathematics 2018-12-21 Yilin Zhang , Karl Rohe , Sebastien Roch

Heat kernel pagerank is a variation of Personalized PageRank given in an exponential formulation. In this work, we present a sublinear time algorithm for approximating the heat kernel pagerank of a graph. The algorithm works by simulating…

Data Structures and Algorithms · Computer Science 2016-12-16 Fan Chung , Olivia Simpson

Personalized PageRank (PPR) is a fundamental tool in unsupervised learning of graph representations such as node ranking, labeling, and graph embedding. However, while data privacy is one of the most important recent concerns, existing PPR…

Cryptography and Security · Computer Science 2024-02-16 Alessandro Epasto , Vahab Mirrokni , Bryan Perozzi , Anton Tsitsulin , Peilin Zhong
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