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Given an undirected graph $G=(V, E)$, the Personalized PageRank (PPR) of $t\in V$ with respect to $s\in V$, denoted $\pi(s,t)$, is the probability that an $\alpha$-discounted random walk starting at $s$ terminates at $t$. We study the time…

Data Structures and Algorithms · Computer Science 2026-02-12 Christian Bertram , Mads Vestergaard Jensen

We present new, more efficient algorithms for estimating random walk scores such as Personalized PageRank from a given source node to one or several target nodes. These scores are useful for personalized search and recommendations on…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren

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

We study discounted random walks in directed graphs. In each step, the walk either terminates with a constant probability $\alpha$, or proceeds to a random out-neighbor. Our goal is to estimate the probability $\pi(s, t)$ that a discounted…

Data Structures and Algorithms · Computer Science 2026-05-19 Christian Bertram , Mads Vestergaard Jensen , Mikkel Thorup , Hanzhi Wang , Shuyi Yan

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

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

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

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) 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

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 propose and analyze two algorithms for maintaining approximate Personalized PageRank (PPR) vectors on a dynamic graph, where edges are added or deleted. Our algorithms are natural dynamic versions of two known local variations of power…

Data Structures and Algorithms · Computer Science 2017-12-27 Hongyang Zhang , Peter Lofgren , Ashish Goel

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

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

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

Partially-observed network data collected by link-tracing based sampling methods is often being studied to obtain the characteristics of a large complex network. However, little attention has been paid to sampling from directed networks…

Social and Information Networks · Computer Science 2014-05-28 Mostafa Salehi , Hamid R. Rabiee

{\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

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

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

Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

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
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