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We present a new algorithm for estimating the Personalized PageRank (PPR) between a source and target node on undirected graphs, with sublinear running-time guarantees over the worst-case choice of source and target nodes. Our work builds…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren , Siddhartha Banerjee , Ashish Goel

PageRank is a graph centrality metric that gives the importance of each node in a given graph. The PageRank algorithm provides important insights to understand the behavior of nodes through the connections they form with other nodes. It is…

Data Structures and Algorithms · Computer Science 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

Given the damping factor $\alpha$ and precision tolerance $\epsilon$, \citet{andersen2006local} introduced Approximate Personalized PageRank (APPR), the \textit{de facto local method} for approximating the PPR vector, with runtime bounded…

Machine Learning · Computer Science 2024-10-22 Baojian Zhou , Yifan Sun , Reza Babanezhad Harikandeh , Xingzhi Guo , Deqing Yang , Yanghua Xiao

We consider the PageRank problem in the dynamic setting, where the goal is to explicitly maintain an approximate PageRank vector $\pi \in \mathbb{R}^n$ for a graph under a sequence of edge insertions and deletions. Our main result is a…

Data Structures and Algorithms · Computer Science 2024-05-20 Rajesh Jayaram , Jakub Łącki , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

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

Initially used to rank web pages, PageRank has now been applied in many fields. With the growing scale of graph, accelerating PageRank computing is urged and designing parallel algorithm is a feasible solution. In this paper, two parallel…

Data Structures and Algorithms · Computer Science 2023-02-08 Qi Zhang , Rongxia Tang , Zhengan Yao , Jun Liang

{\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

Phase retrieval (PR), a long-established challenge for recovering a complex-valued signal from its Fourier intensity-only measurements, has attracted considerable attention due to its widespread applications in digital imaging. Recently,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-19 Qiuliang Ye , Li-Wen Wang , Daniel Pak-Kong Lun

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

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

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

Network embedding has numerous practical applications and has received extensive attention in graph learning, which aims at mapping vertices into a low-dimensional and continuous dense vector space by preserving the underlying structural…

Machine Learning · Computer Science 2024-08-07 Longlong Lin , Yunfeng Yu , Zihao Wang , Zeli Wang , Yuying Zhao , Jin Zhao , Tao Jia

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

PageRank is a fundamental link analysis algorithm that also functions as a key representative of the performance of Sparse Matrix-Vector (SpMV) multiplication. The traditional PageRank implementation generates fine granularity random memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-08 Kartik Lakhotia , Rajgopal Kannan , Viktor Prasanna

A new work has been proposed in this paper in order to overcome one of the main drawbacks that found in the Orthogonal Frequency Division Multiplex (OFDM) systems, namely Peak to Average Power Ratio (PAPR). Furthermore, this work will be…

Information Theory · Computer Science 2016-09-07 Q. J. Hamarsheh , O. R. Daoud , M. M. Ali , A. A. Damati

Driven by many real applications, we study the problem of seeded graph matching. Given two graphs $G_1 = (V_1, E_1)$ and $G_2 = (V_2, E_2)$, and a small set $S$ of pre-matched node pairs $[u, v]$ where $u \in V_1$ and $v \in V_2$, the…

Data Structures and Algorithms · Computer Science 2018-10-29 Haida Zhang , Zengfeng Huang , Xuemin Lin , Zhe Lin , Wenjie Zhang , Ying Zhang

Preference-based reinforcement learning (PbRL) can help avoid sophisticated reward designs and align better with human intentions, showing great promise in various real-world applications. However, obtaining human feedback for preferences…

Machine Learning · Computer Science 2026-04-06 Yiqin Yang , Hao Hu , Yihuan Mao , Jin Zhang , Chengjie Wu , Yuhua Jiang , Xu Yang , Runpeng Xie , Yi Fan , Bo Liu , Yang Gao , Bo Xu , Chongjie Zhang

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

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 classic algorithm [Papadimitriou, J.ACM '81] for IPs has a running time $n^{O(m)}(m\cdot\max\{\Delta,\|\textbf{b}\|_{\infty}\})^{O(m^2)}$, where $m$ is the number of constraints, $n$ is the number of variables, and $\Delta$ and…

Optimization and Control · Mathematics 2026-01-01 Hauke Brinkop , Hua Chen , Lin Chen , Klaus Jansen , Guochuan Zhang