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PageRank, the prestige measure for Web pages used by Google, is the stationary probability of a peculiar random walk on directed graphs, which interpolates between a pure random walk and a process where all nodes have the same probability…

Physics and Society · Physics 2015-06-26 Santo Fortunato , Alessandro Flammini

PageRank is a widely used centrality measure that "ranks" vertices in a graph by considering the connections and their importance. In this report, we first introduce one of the most efficient GPU implementations of Static PageRank, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-25 Subhajit Sahu

For a directed graph, the Pagerank algorithm emulates a random walker on the graph that occasionally "jumps" to a random vertex based on a jumping parameter $\alpha$. Upon completion, the algorithm generates a stochastic vector whose…

Combinatorics · Mathematics 2021-04-19 Joseph Farnan , Franklin H. J. Kenter

There are several ideas being used today for Web information retrieval, and specifically in Web search engines. The PageRank algorithm is one of those that introduce a content-neutral ranking function over Web pages. This ranking is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Giorgos Kollias , Efstratios Gallopoulos , Daniel B. Szyld

In this paper, we consider a problem of learning supervised PageRank models, which can account for some properties not considered by classical approaches such as the classical PageRank algorithm. Due to huge hidden dimension of the…

As a measure of vertex importance according to the graph structure, PageRank has been widely applied in various fields. While many PageRank algorithms have been proposed in the past decades, few of them take into account whether the graph…

Networking and Internet Architecture · Computer Science 2023-03-07 Qi Zhang , Rongxia Tang , Zhengan Yao , Zanbo Zhang

Semi-supervised and unsupervised machine learning methods often rely on graphs to model data, prompting research on how theoretical properties of operators on graphs are leveraged in learning problems. While most of the existing literature…

Analysis of PDEs · Mathematics 2021-01-12 Amber Yuan , Jeff Calder , Braxton Osting

The PageRank algorithm employed by Google quantifies the importance of each page by the link structure of the web. To reduce the computational burden the distributed randomized PageRank algorithms (DRPA) recently appeared in literature…

Systems and Control · Computer Science 2013-05-15 Wenxiao Zhao , Han-Fu Chen , Hai-Tao Fang

PageRank is a ranking of the web pages that measures how often a given web page is visited by a random surfer on the web graph, for a simple model of web surfing. It seems realistic that PageRank may also have an influence on the behavior…

Probability · Mathematics 2007-12-05 Marianne Akian , Stephane Gaubert , Laure Ninove

PageRank is a metric that assigns importance to the vertices of a graph based on its neighbors and their scores. Recently, there has been increasing interest in computing PageRank on dynamic graphs, where the graph structure evolves due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Subhajit Sahu

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 an expansion property. The Chung-Lu random graph is…

We study the problem of estimating a vertex's PageRank within a constant relative error, with constant probability. We prove that an adaptive variant of the simple classic bidirectional algorithm is instance-optimal up to a polylogarithmic…

Data Structures and Algorithms · Computer Science 2026-05-15 Mikkel Thorup , Hanzhi Wang

We propose a new algorithm, FAST-PPR, for estimating personalized PageRank: given start node $s$ and target node $t$ in a directed graph, and given a threshold $\delta$, FAST-PPR estimates the Personalized PageRank $\pi_s(t)$ from $s$ to…

Data Structures and Algorithms · Computer Science 2014-08-25 Peter Lofgren , Siddhartha Banerjee , Ashish Goel , C. Seshadhri

Contextual ranking models have delivered impressive performance improvements over classical models in the document ranking task. However, these highly over-parameterized models tend to be data-hungry and require large amounts of data even…

Information Retrieval · Computer Science 2023-11-28 Abhijit Anand , Jurek Leonhardt , Jaspreet Singh , Koustav Rudra , Avishek Anand

Ranking on large-scale graphs plays a fundamental role in many high-impact application domains, ranging from information retrieval, recommender systems, sports team management, biology to neuroscience and many more. PageRank, together with…

Social and Information Networks · Computer Science 2018-11-27 Jian Kang , Meijia Wang , Nan Cao , Yinglong Xia , Wei Fan , Hanghang Tong

PageRank is a well-known algorithm whose robustness helps set a standard benchmark when processing graphs and analytical problems. The PageRank algorithm serves as a standard for many graph analytics and a foundation for extracting graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Hemalatha Eedi , Sahith Karra , Sathya Peri , Neha Ranabothu , Rahul Utkoor

Following criticisms against the journal Impact Factor, new journal influence scores have been developed such as the Eigenfactor or the Prestige Scimago Journal Rank. They are based on PageRank type algorithms on the cross-citations…

Methodology · Statistics 2018-01-24 Jean-Louis Foulley , Gilles Celeux , Julie Josse

PageRank is an algorithm introduced in 1998 and used by the Google Internet search engine. It assigns a numerical value to each element of a set of hyperlinked documents (that is, web pages) within the World Wide Web with the purpose of…

Systems and Control · Computer Science 2013-12-09 Hideaki Ishii , Roberto Tempo

We consider the problem of learning the qualities of a collection of items by performing noisy comparisons among them. Following the standard paradigm, we assume there is a fixed "comparison graph" and every neighboring pair of items in…

Machine Learning · Computer Science 2019-06-13 Julien M. Hendrickx , Alex Olshevsky , Venkatesh Saligrama

Reinforcement learning has gained wide popularity as a technique for simulation-driven approximate dynamic programming. A less known aspect is that the very reasons that make it effective in dynamic programming can also be leveraged for…

Machine Learning · Computer Science 2013-11-13 Vivek S. Borkar , Adwaitvedant S. Mathkar