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Single-source and top-$k$ SimRank queries are two important types of similarity search in graphs with numerous applications in web mining, social network analysis, spam detection, etc. A plethora of techniques have been proposed for these…

Databases · Computer Science 2018-10-30 Yu Liu , Bolong Zheng , Xiaodong He , Zhewei Wei , Xiaokui Xiao , Kai Zheng , Jiaheng Lu

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

Landing probabilities (LP) of random walks (RW) over graphs encode rich information regarding graph topology. Generalized PageRanks (GPR), which represent weighted sums of LPs of RWs, utilize the discriminative power of LP features to…

Social and Information Networks · Computer Science 2019-12-30 Pan Li , Eli Chien , Olgica Milenkovic

{\it SimRank} is a classic measure of the similarities of nodes in a graph. Given a node $u$ in graph $G =(V, E)$, a {\em single-source SimRank query} returns the SimRank similarities $s(u, v)$ between node $u$ and each node $v \in V$. This…

Data Structures and Algorithms · Computer Science 2019-05-08 Zhewei Wei , Xiaodong He , Xiaokui Xiao , Sibo Wang , Yu Liu , Xiaoyong Du , Ji-Rong Wen

We introduce Probabilistic Rank and Reward (PRR), a scalable probabilistic model for personalized slate recommendation. Our approach allows off-policy estimation of the reward in the scenario where the user interacts with at most one item…

Information Retrieval · Computer Science 2024-07-08 Imad Aouali , Achraf Ait Sidi Hammou , Otmane Sakhi , David Rohde , Flavian Vasile

We study the computational complexity of locally estimating a node's PageRank centrality in a directed graph $G$. For any node $t$, its PageRank centrality $\pi(t)$ is defined as the probability that a random walk in $G$, starting from a…

Data Structures and Algorithms · Computer Science 2026-01-21 Mikkel Thorup , Hanzhi Wang , Zhewei Wei , Mingji Yang

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

The Internet is one of the most valuable technologies invented to date. Among them, Google is the most widely used search engine. The PageRank algorithm is the backbone of Google search, ranking web pages according to relevance and recency.…

Quantum Physics · Physics 2024-01-17 Colin Benjamin , Naini Dudhe

Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity score between two nodes in a graph, and it has been successfully…

Databases · Computer Science 2012-02-01 Yasuhiro Fujiwara , Makoto Nakatsuji , Makoto Onizuka , Masaru Kitsuregawa

Random walks can be used to search complex networks for a desired resource. To reduce search lengths, we propose a mechanism based on building random walks connecting together partial walks (PW) previously computed at each network node.…

Networking and Internet Architecture · Computer Science 2013-04-19 Víctor M. López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

Traditional recommendation systems estimate user preference on items from past interaction history, thus suffering from the limitations of obtaining fine-grained and dynamic user preference. Conversational recommendation system (CRS) brings…

Information Retrieval · Computer Science 2020-07-02 Wenqiang Lei , Gangyi Zhang , Xiangnan He , Yisong Miao , Xiang Wang , Liang Chen , Tat-Seng Chua

Probabilistic recurrence relations (PRRs) are a standard formalism for describing the runtime of a randomized algorithm. Given a PRR and a time limit $\kappa$, we consider the classical concept of tail probability $\Pr[T \ge \kappa]$, i.e.,…

Data Structures and Algorithms · Computer Science 2023-05-25 Yican Sun , Hongfei Fu , Krishnendu Chatterjee , Amir Kafshdar Goharshady

Query evaluation over probabilistic databases is notoriously intractable -- not only in combined complexity, but often in data complexity as well. This motivates the study of approximation algorithms, and particularly of combined FPRASes,…

Databases · Computer Science 2025-12-17 Antoine Amarilli , Timothy van Bremen , Octave Gaspard , Kuldeep S. Meel

Given an input graph G and a node v in G, homogeneous network embedding (HNE) maps the graph structure in the vicinity of v to a compact, fixed-dimensional feature vector. This paper focuses on HNE for massive graphs, e.g., with billions of…

Social and Information Networks · Computer Science 2020-06-24 Renchi Yang , Jieming Shi , Xiaokui Xiao , Yin Yang , Sourav S. Bhowmick

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

We describe a new forward-backward variant of Dijkstra's and Spira's Single-Source Shortest Paths (SSSP) algorithms. While essentially all SSSP algorithm only scan edges forward, the new algorithm scans some edges backward. The new…

Data Structures and Algorithms · Computer Science 2014-05-30 David B. Wilson , Uri Zwick

Graph Neural Networks (GNNs) have achieved great successes in many learning tasks performed on graph structures. Nonetheless, to propagate information GNNs rely on a message passing scheme which can become prohibitively expensive when…

Machine Learning · Computer Science 2022-11-09 Ariel R. Ramos Vela , Johannes F. Lutzeyer , Anastasios Giovanidis , Michalis Vazirgiannis

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 (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

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