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Personalized PageRank (PPR) is a traditional measure for node proximity on large graphs. For a pair of nodes $s$ and $t$, the PPR value $\pi_s(t)$ equals the probability that an $\alpha$-discounted random walk from $s$ terminates at $t$ and…

Data Structures and Algorithms · Computer Science 2024-03-21 Mingji Yang , Hanzhi Wang , Zhewei Wei , Sibo Wang , Ji-Rong Wen

Personalized PageRank (PPR) is a widely used node proximity measure in graph mining and network analysis. Given a source node $s$ and a target node $t$, the PPR value $\pi(s,t)$ represents the probability that a random walk from $s$…

Data Structures and Algorithms · Computer Science 2020-06-25 Hanzhi Wang , Zhewei Wei , Junhao Gan , Sibo Wang , Zengfeng Huang

The paper provides statistical theory and intuition for personalized PageRank (called "PPR"): a popular technique that samples a small community from a massive network. We study a setting where the entire network is expensive to obtain…

Social and Information Networks · Computer Science 2020-07-02 Fan Chen , Yini Zhang , Karl Rohe

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

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

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

PageRank is a well-known centrality measure for the web used in search engines, representing the importance of each web page. In this paper, we follow the line of recent research on the development of distributed algorithms for computation…

Systems and Control · Electrical Eng. & Systems 2019-07-24 Atsushi Suzuki , Hideaki Ishii

Personalalized PageRank uses random walks to determine the importance or authority of nodes in a graph from the point of view of a given source node. Much past work has considered how to compute personalized PageRank from a given source…

Data Structures and Algorithms · Computer Science 2014-04-15 Peter Lofgren , Ashish Goel

PageRank (PR) is a fundamental tool for assessing the relative importance of the nodes in a network. In this paper, we propose a measure, weighted PageRank (WPR), extended from the classical PR for weighted, directed networks with possible…

Physics and Society · Physics 2021-05-18 Panpan Zhang , Tiandong Wang , Jun Yan

Many systems, including the Internet, social networks, and the power grid, can be represented as graphs. When analyzing graphs, it is often useful to compute scores describing the relative importance or distance between nodes. One example…

Social and Information Networks · Computer Science 2021-05-05 Daniel Vial , Vijay Subramanian

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

{\em Personalized PageRank (PPR)} stands as a fundamental proximity measure in graph mining. Since computing an exact SSPPR query answer is prohibitive, most existing solutions turn to approximate queries with guarantees. The…

Databases · Computer Science 2022-12-27 Guanhao Hou , Qintian Guo , Fangyuan Zhang , Sibo Wang , Zhewei Wei

Personalized PageRank (PPR) is an extensively studied and applied node proximity measure in graphs. For a pair of nodes $s$ and $t$ on a graph $G=(V,E)$, the PPR value $\pi(s,t)$ is defined as the probability that an $\alpha$-discounted…

Data Structures and Algorithms · Computer Science 2024-03-21 Zhewei Wei , Ji-Rong Wen , Mingji Yang

Given a graph $G$, a source node $s$ and a target node $t$, the personalized PageRank (PPR) of $t$ with respect to $s$ is the probability that a random walk starting from $s$ terminates at $t$. An important variant of the PPR query is…

Social and Information Networks · Computer Science 2019-08-29 Sibo Wang , Renchi Yang , Runhui Wang , Xiaokui Xiao , Zhewei Wei , Wenqing Lin , Yin Yang , Nan Tang

Personalized PageRank (PPR) has enormous applications, such as link prediction and recommendation systems for social networks, which often require the fully PPR to be known. Besides, most of real-life graphs are edge-weighted, e.g., the…

Social and Information Networks · Computer Science 2019-03-29 Wenqing Lin

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

Personalized PageRank (PPR) is a popular node proximity metric in graph mining and network research. Given a graph G=(V,E) and a source node $s \in V$, a single-source PPR (SSPPR) query asks for the PPR value $\vpi(u)$ with respect to s,…

Data Structures and Algorithms · Computer Science 2022-05-10 Hanzhi Wang , Zhewei Wei , Junhao Gan , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

Personalized PageRank (PPR) is a graph algorithm that evaluates the importance of the surrounding nodes from a source node. Widely used in social network related applications such as recommender systems, PPR requires real-time responses…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Lixiang Li , Yao Chen , Zacharie Zirnheld , Pan Li , Cong Hao

A hypergraph is a useful combinatorial object to model ternary or higher-order relations among entities. Clustering hypergraphs is a fundamental task in network analysis. In this study, we develop two clustering algorithms based on…

Data Structures and Algorithms · Computer Science 2021-10-27 Yuuki Takai , Atsushi Miyauchi , Masahiro Ikeda , Yuichi Yoshida

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
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