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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

There has been a rising interest in graph neural networks (GNNs) for representation learning over the past few years. GNNs provide a general and efficient framework to learn from graph-structured data. However, GNNs typically only use the…

Machine Learning · Computer Science 2022-08-30 Julie Choi

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized…

Discrete Mathematics · Computer Science 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

Given a large graph, how can we determine similarity between nodes in a fast and accurate way? Random walk with restart (RWR) is a popular measure for this purpose and has been exploited in numerous data mining applications including…

Social and Information Networks · Computer Science 2017-12-05 Minji Yoon , Jinhong Jung , U Kang

The personalized PageRank algorithm is one of the most versatile tools for the analysis of networks. In spite of its ubiquity, maintaining personalized PageRank vectors when the underlying network constantly evolves is still a challenging…

Social and Information Networks · Computer Science 2021-10-07 Esteban Bautista , Matthieu Latapy

Online transaction fraud presents substantial challenges to businesses and consumers, risking significant financial losses. Conventional rule-based systems struggle to keep pace with evolving fraud tactics, leading to high false positive…

Risk Management · Quantitative Finance 2024-02-20 Catayoun Azarm , Erman Acar , Mickey van Zeelt

Bipartite graphs are widely used to model relationships between entities of different types, where nodes are divided into two disjoint sets. Similarity search, a fundamental operation that retrieves nodes similar to a given query node,…

Data Structures and Algorithms · Computer Science 2025-12-15 Xi Ou , Longlong Lin , Zeli Wang , Pingpeng Yuan , Rong-Hua Li

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

Link prediction in complex networks--identifying the missing or future connections--remains a cornerstone problem for understanding network evolution and function, yet existing methods struggle to balance computational efficiency with…

Social and Information Networks · Computer Science 2025-11-25 Huilin Wang Wenjun Zhang Weibing Deng

PageRank (PR) is a fundamental algorithm in graph machine learning tasks. Owing to the increasing importance of algorithmic fairness, we consider the problem of computing PR vectors subject to various group-fairness criteria based on…

Machine Learning · Computer Science 2026-02-10 Emmanouil Kariotakis , Aritra Konar

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

Given an undirected graph G and a seed node s, the local clustering problem aims to identify a high-quality cluster containing s in time roughly proportional to the size of the cluster, regardless of the size of G. This problem finds…

Social and Information Networks · Computer Science 2019-04-08 Renchi Yang , Xiaokui Xiao , Zhewei Wei , Sourav S Bhowmick , Jun Zhao , Rong-Hua Li

This paper shows that pairwise PageRank orders emerge from two-hop walks. The main tool used here refers to a specially designed sign-mirror function and a parameter curve, whose low-order derivative information implies pairwise PageRank…

Machine Learning · Computer Science 2019-03-12 Ying Tang

We present an interactive Web platform that, given a directed graph, allows identifying the most relevant nodes related to a given query node. Besides well-established algorithms such as PageRank and Personalized PageRank, the demo includes…

Information Retrieval · Computer Science 2024-05-06 Luca Cavalcanti , Cristian Consonni , Martin Brugnara , David Laniado , Alberto Montresor

In this paper, we analyze the efficiency of Monte Carlo methods for incremental computation of PageRank, personalized PageRank, and similar random walk based methods (with focus on SALSA), on large-scale dynamically evolving social…

Data Structures and Algorithms · Computer Science 2010-09-01 Bahman Bahmani , Abdur Chowdhury , Ashish Goel

Popular graph neural networks are shallow models, despite the success of very deep architectures in other application domains of deep learning. This reduces the modeling capacity and leaves models unable to capture long-range relationships.…

Machine Learning · Computer Science 2022-07-05 Andreas Roth , Thomas Liebig

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

The PageRank algorithm employed at Google assigns a measure of importance to each web page for rankings in search results. In our recent papers, we have proposed a distributed randomized approach for this algorithm, where web pages are…

Systems and Control · Computer Science 2016-11-15 Hideaki Ishii , Roberto Tempo , Er-Wei Bai

PageRank is a famous measure of graph centrality that has numerous applications in practice. The problem of computing a single node's PageRank has been the subject of extensive research over a decade. However, existing methods still incur…

Data Structures and Algorithms · Computer Science 2023-07-27 Hanzhi Wang , Zhewei Wei