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Multiplex networks are generalized network structures that are able to describe networks in which the same set of nodes are connected by links that have different connotations. Multiplex networks are ubiquitous since they describe social,…

Physics and Society · Physics 2016-09-01 Jacopo Iacovacci , Ginestra Bianconi

Personalized PageRank is an algorithm to classify the improtance of web pages on a user-dependent basis. We introduce two generalizations of Personalized PageRank with node-dependent restart. The first generalization is based on the…

Information Retrieval · Computer Science 2014-08-05 Konstantin Avrachenkov , Remco W. Van Der Hofstad , Marina Sokol

Rankings are ubiquitous in the online world today. As we have transitioned from finding books in libraries to ranking products, jobs, job applicants, opinions and potential romantic partners, there is a substantial precedent that ranking…

Information Retrieval · Computer Science 2018-10-18 Ashudeep Singh , Thorsten Joachims

We study the behavior of network diffusions based on the PageRank random walk from a set of seed nodes. These diffusions are known to reveal small, localized clusters (or communities) and also large macro-scale clusters by varying a…

Social and Information Networks · Computer Science 2016-07-06 Kyle Kloster , David F. Gleich

Measuring the influence of users in social networks is key for numerous applications. A recently proposed influence metric, coined as $\psi$-score, allows to go beyond traditional centrality metrics, which only assess structural graph…

Networking and Internet Architecture · Computer Science 2022-10-21 Nouamane Arhachoui , Esteban Bautista , Maximilien Danisch , Anastasios Giovanidis

A fundamental problem arising in many applications in Web science and social network analysis is, given an arbitrary approximation factor $c>1$, to output a set $S$ of nodes that with high probability contains all nodes of PageRank at least…

Data Structures and Algorithms · Computer Science 2015-03-20 Christian Borgs , Michael Brautbar , Jennifer Chayes , Shang-Hua Teng

PageRank has numerous applications in information retrieval, reputation systems, machine learning, and graph partitioning.In this paper, we study PageRank in undirected random graphs with expansion property. The Chung-Lu random graph…

Social and Information Networks · Computer Science 2016-11-28 Konstantin Avrachenkov , Arun Kadavankandy , Liudmila Ostroumova , Andrei Raigorodskii

We compare two link analysis ranking methods of web pages in a site. The first, called Site Rank, is an adaptation of PageRank to the granularity of a web site and the second, called Popularity Rank, is based on the frequencies of user…

Artificial Intelligence · Computer Science 2007-05-23 Jose Borges , Mark Levene

The inference of rankings plays a central role in the theory of social choice, which seeks to establish preferences from collectively generated data, such as pairwise comparisons. Examples include political elections, ranking athletes based…

Social and Information Networks · Computer Science 2025-03-25 Juan Ignacio Perotti

In network science, there is often the need to sort the graph nodes. While the sorting strategy may be different, in general sorting is performed by exploiting the network structure. In particular, the metric PageRank has been used in the…

Social and Information Networks · Computer Science 2018-02-16 Marco Buzzanca , Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

In this paper, we consider the problem of diversity in ranking of the nodes in a graph. The task is to pick the top-k nodes in the graph which are both 'central' and 'diverse'. Many graph-based models of NLP like text summarization, opinion…

Information Retrieval · Computer Science 2015-03-20 Rama Badrinath , C. E. Veni Madhavan

PageRank is a graph centrality metric that gives the importance of each node in a given graph. The PageRank algorithm provides important insights to understand the behavior of nodes through the connections they form with other nodes. It is…

Data Structures and Algorithms · Computer Science 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

Rankings on online platforms help their end-users find the relevant information -- people, news, media, and products -- quickly. Fair ranking tasks, which ask to rank a set of items to maximize utility subject to satisfying group-fairness…

Computers and Society · Computer Science 2023-06-22 Sruthi Gorantla , Anay Mehrotra , Amit Deshpande , Anand Louis

Competition between a complex system's constituents and a corresponding reward mechanism based on it have profound influence on the functioning, stability, and evolution of the system. But determining the dominance hierarchy or ranking…

Physics and Society · Physics 2016-03-25 Juyong Park , Soon-Hyung Yook

In this paper, we introduce a novel method that combines multiple neural network results to decide the class of the input. This is the first study which used the method for web pages classification. In our model, each element is represented…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Fahri Aydos , A. Murat Özbayoğlu , Yahya Şirin , M. Fatih Demirci

We propose a new Ising-PageRank model of opinion formation on a social network by introducing an Ising- or spin-like structure of the corresponding Google matrix. Each elector or node of the network has two components corresponding to a red…

Physics and Society · Physics 2019-04-18 Klaus M. Frahm , Dima L. Shepelyansky

PageRank is a widely used algorithm for ranking webpages and plays a significant role in determining web traffic. This study employs the Gini coefficient, a measure of income/wealth inequality, to assess the inequality in PageRank…

Computers and Society · Computer Science 2024-12-30 Subhajit Sahu

The well-known statistic PageRank was created in 1998 by co-founders of Google, Sergey Brin and Larry Page, to optimize the ranking of websites for their search engine outcomes. It is computed using an iterative algorithm, based on the idea…

Computation · Statistics 2023-06-09 Yoichi Nishiyama

The rank of neural networks measures information flowing across layers. It is an instance of a key structural condition that applies across broad domains of machine learning. In particular, the assumption of low-rank feature representations…

Machine Learning · Computer Science 2022-06-14 Ruili Feng , Kecheng Zheng , Yukun Huang , Deli Zhao , Michael Jordan , Zheng-Jun Zha

Real-world social networks have structural inequalities, including the majority and minorities, and fairness-agnostic centrality measures often amplify these inequalities by disproportionately favoring majority nodes. Fairness-Sensitive…

Social and Information Networks · Computer Science 2026-02-03 Mukesh Kumar , Gaurav Dixit , Akrati Saxena
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