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Seeded PageRank is an important network analysis tool for identifying and studying regions nearby a given set of nodes, which are called seeds. The seeded PageRank vector is the stationary distribution of a random walk that randomly resets…

Social and Information Networks · Computer Science 2017-05-23 David F. Gleich , Kyle Kloster , Huda Nassar

The PageRank is a widely used scoring function of networks in general and of the World Wide Web graph in particular. The PageRank is defined for directed graphs, but in some special cases applications for undirected graphs occur. In the…

Data Structures and Algorithms · Computer Science 2017-02-09 Vince Grolmusz

Graph neural networks (GNNs) have emerged as a powerful approach for solving many network mining tasks. However, learning on large graphs remains a challenge - many recently proposed scalable GNN approaches rely on an expensive…

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

PageRank has become a key element in the success of search engines, allowing to rank the most important hits in the top screen of results. One key aspect that distinguishes PageRank from other prestige measures such as in-degree is its…

Information Retrieval · Computer Science 2007-05-23 Santo Fortunato , Marian Boguna , Alessandro Flammini , Filippo Menczer

The bipartite graph is a ubiquitous data structure that can model the relationship between two entity types: for instance, users and items, queries and webpages. In this paper, we study the problem of ranking vertices of a bipartite graph,…

Information Retrieval · Computer Science 2017-08-16 Xiangnan He , Ming Gao , Min-Yen Kan , Dingxian Wang

Methods for ranking the importance of nodes in a network have a rich history in machine learning and across domains that analyze structured data. Recent work has evaluated these methods though the seed set expansion problem: given a subset…

Social and Information Networks · Computer Science 2017-05-04 Isabel Kloumann , Johan Ugander , Jon Kleinberg

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 Route Recommendation (PRR) aims to generate user-specific route suggestions in response to users' route queries. Early studies cast the PRR task as a pathfinding problem on graphs, and adopt adapted search algorithms by…

Artificial Intelligence · Computer Science 2019-07-22 Jingyuan Wang , Ning Wu , Wayne Xin Zhao , Fanzhang Peng , Xin Lin

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 algorithms based on message passing neural networks (MPNNs) on graphs have recently achieved great success for various graph applications. However, studies find that these methods always propagate the information to very limited…

Artificial Intelligence · Computer Science 2026-02-10 Mingcan Wang , Junchang Xin , Zhongming Yao , Kaifu Long , Zhiqiong Wang

The objective of privacy-preserving synthetic graph publishing is to safeguard individuals' privacy while retaining the utility of original data. Most existing methods focus on graph neural networks under differential privacy (DP), and yet…

Databases · Computer Science 2025-01-07 Sen Zhang , Haibo Hu , Qingqing Ye , Jianliang Xu

We propose FrogWild, a novel algorithm for fast approximation of high PageRank vertices, geared towards reducing network costs of running traditional PageRank algorithms. Our algorithm can be seen as a quantized version of power iteration…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Ioannis Mitliagkas , Michael Borokhovich , Alexandros G. Dimakis , Constantine Caramanis

We consider the problem of selecting important nodes in a random network, where the nodes connect to each other randomly with certain transition probabilities. The node importance is characterized by the stationary probabilities of the…

Methodology · Statistics 2019-01-14 Haidong Li , Xiaoyun Xu , Yijie Peng , Chun-Hung Chen

The "Local Ranking Problem" (LRP) is related to the computation of a centrality-like rank on a local graph, where the scores of the nodes could significantly differ from the ones computed on the global graph. Previous work has studied LRP…

Data Structures and Algorithms · Computer Science 2015-05-26 Michele Trevisiol , Luca Maria Aiello , Paolo Boldi , Roi Blanco

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

Physics and Society · Physics 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

The PageRank of a graph is a scalar function defined on the node set of the graph which encodes nodes centrality information of the graph. In this article, we use the PageRank function along with persistent homology to obtain a scalable…

Computational Geometry · Computer Science 2020-09-15 Mustafa Hajij , Elizabeth Munch , Paul Rosen

Local graph clustering methods aim to find small clusters in very large graphs. These methods take as input a graph and a seed node, and they return as output a good cluster in a running time that depends on the size of the output cluster…

Machine Learning · Computer Science 2020-01-14 Wooseok Ha , Kimon Fountoulakis , Michael W. Mahoney

The quantization of the PageRank algorithm is a promising tool for a future quantum internet. Here we present a modification of the quantum PageRank introducing arbitrary phase rotations (APR) in the underlying Szegedy's quantum walk. We…

Quantum Physics · Physics 2023-02-01 Sergio A. Ortega , Miguel A. Martin-Delgado

Similarity search over a bipartite graph aims to retrieve from the graph the nodes that are similar to each other, which finds applications in various fields such as online advertising, recommender systems etc. Existing similarity measures…

Social and Information Networks · Computer Science 2023-12-13 Renchi Yang
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