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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

Force-directed approach is one of the most widely used methods in graph drawing research. There are two main problems with the traditional force-directed algorithms. First, there is no mature theory to ensure the convergence of iteration…

Computational Geometry · Computer Science 2018-03-12 Yong-Xian Wang , Zheng-Hua Wang

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

Popular graph neural networks are shallow models, despite the success of very deep architectures in other application domains of deep learning. This reduces the modeling capacity and leaves models unable to capture long-range relationships.…

Machine Learning · Computer Science 2022-07-05 Andreas Roth , Thomas Liebig

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 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

Support vector data description (SVDD) is a machine learning technique that is used for single-class classification and outlier detection. The idea of SVDD is to find a set of support vectors that defines a boundary around data. When…

Machine Learning · Statistics 2018-11-05 Hansi Jiang , Haoyu Wang , Wenhao Hu , Deovrat Kakde , Arin Chaudhuri

Most methods for Personalized PageRank (PPR) precompute and store all accurate PPR vectors, and at query time, return the ones of interest directly. However, the storage and computation of all accurate PPR vectors can be prohibitive for…

Information Retrieval · Computer Science 2016-08-23 Qin Liu , Zhenguo Li , John C. S. Lui , Jiefeng Cheng

Graph neural networks (GNNs) are gaining increasing popularity as a promising approach to machine learning on graphs. Unlike traditional graph workloads where each vertex/edge is associated with a scalar, GNNs attach a feature tensor to…

Machine Learning · Computer Science 2020-09-30 Yuwei Hu , Zihao Ye , Minjie Wang , Jiali Yu , Da Zheng , Mu Li , Zheng Zhang , Zhiru Zhang , Yida Wang

We propose a simple and optimal algorithm, BackMC, for local PageRank estimation in undirected graphs: given an arbitrary target node $t$ in an undirected graph $G$ comprising $n$ nodes and $m$ edges, BackMC accurately estimates the…

Data Structures and Algorithms · Computer Science 2024-09-16 Hanzhi Wang

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

The push-sum algorithm is probably the most important distributed averaging approach over directed graphs, which has been applied to various problems including distributed optimization. This paper establishes the explicit absolute…

Optimization and Control · Mathematics 2023-04-20 Yixuan Lin , Ji Liu

Federated Learning (FL) on graph-structured data typically faces non-IID challenges, particularly in scenarios where each client holds a distinct subgraph sampled from a global graph. In this paper, we introduce Federated learning with…

Machine Learning · Computer Science 2025-10-01 Wei Zhuo , Zhaohuan Zhan , Han Yu

We investigate the convergence rate of the recently proposed subgradient-push method for distributed optimization over time-varying directed graphs. The subgradient-push method can be implemented in a distributed way without requiring…

Optimization and Control · Mathematics 2015-02-17 Angelia Nedic , Alex Olshevsky

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

With the increasingly strengthened data privacy act and the difficult data centralization, Federated Learning (FL) has become an effective solution to collaboratively train the model while preserving each client's privacy. FedAvg is a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Zhifang Deng , Xiaohong Huang , Dandan Li , Xueguang Yuan

In this letter, we study distributed optimization, where a network of agents, abstracted as a directed graph, collaborates to minimize the average of locally-known convex functions. Most of the existing approaches over directed graphs are…

Optimization and Control · Mathematics 2018-06-08 Ran Xin , Usman A. Khan

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

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