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This work proposes a novel framework based on nested evolving set processes to accelerate Personalized PageRank (PPR) computation. At each stage of the process, we employ a localized inexact proximal point iteration to solve a simplified…

Machine Learning · Computer Science 2025-10-28 Binbin Huang , Luo Luo , Yanghua Xiao , Deqing Yang , Baojian Zhou

We focus on the problem of performing random walks efficiently in a distributed network. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain a random walk sample. We first present a fast sublinear…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-03 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

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

Graph Representation Learning (GRL) methods opened new avenues for addressing complex, real-world problems represented by graphs. However, many graphs used in these applications comprise millions of nodes and billions of edges and are…

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

Are users of an online social network interested equally in all connections in the network? If not, how can we obtain a summary of the network personalized to specific users? Can we use the summary for approximate query answering? As…

Databases · Computer Science 2022-03-29 Shinhwan Kang , Kyuhan Lee , Kijung Shin

Random walk neural networks (RWNNs) have emerged as a promising approach for graph representation learning, leveraging recent advances in sequence models to process random walks. However, under realistic sampling constraints, RWNNs often…

Machine Learning · Computer Science 2025-10-28 Michael Ito , Danai Koutra , Jenna Wiens

Finding maximum-weight independent sets in graphs is an important NP-hard optimization problem. Given a vertex-weighted graph $G$, the task is to find a subset of pairwise non-adjacent vertices of $G$ with maximum weight. Most recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-16 Jannick Borowitz , Ernestine Großmann , Mattthias Schimek

Our objective is to sample the node set of a large unknown graph via crawling, to accurately estimate a given metric of interest. We design a random walk on an appropriately defined weighted graph that achieves high efficiency by…

Social and Information Networks · Computer Science 2011-03-29 M. Kurant , M. Gjoka , C. T. Butts , A. Markopoulou

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

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Link prediction in complex networks--identifying the missing or future connections--remains a cornerstone problem for understanding network evolution and function, yet existing methods struggle to balance computational efficiency with…

Social and Information Networks · Computer Science 2025-11-25 Huilin Wang Wenjun Zhang Weibing Deng

Large data applications rely on storing data in massive, sparse graphs with millions to trillions of nodes. Graph-based methods, such as node prediction, aim for computational efficiency regardless of graph size. Techniques like localized…

Data Structures and Algorithms · Computer Science 2025-07-08 Yushen Huang , Ertai Luo , Reza Babenezhad , Yifan Sun

As a measure of vertex importance according to the graph structure, PageRank has been widely applied in various fields. While many PageRank algorithms have been proposed in the past decades, few of them take into account whether the graph…

Networking and Internet Architecture · Computer Science 2023-03-07 Qi Zhang , Rongxia Tang , Zhengan Yao , Zanbo Zhang

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

How can we analyze enormous networks including the Web and social networks which have hundreds of billions of nodes and edges? Network analyses have been conducted by various graph mining methods including shortest path computation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-27 Chiwan Park , Ha-Myung Park , Minji Yoon , U Kang

Graph-structured data arise in wide applications, such as computer vision, bioinformatics, and social networks. Quantifying similarities among graphs is a fundamental problem. In this paper, we develop a framework for computing graph…

Machine Learning · Statistics 2018-09-11 Zhen Zhang , Mianzhi Wang , Yijian Xiang , Yan Huang , Arye Nehorai

Dynamic graph representation learning is a task to learn node embeddings over dynamic networks, and has many important applications, including knowledge graphs, citation networks to social networks. Graphs of this type are usually…

Social and Information Networks · Computer Science 2021-06-04 Xingzhi Guo , Baojian Zhou , Steven Skiena

We propose refined GRFs (GRFs++), a new class of Graph Random Features (GRFs) for efficient and accurate computations involving kernels defined on the nodes of a graph. GRFs++ resolve some of the long-standing limitations of regular GRFs,…

Machine Learning · Computer Science 2025-10-10 Krzysztof Choromanski , Avinava Dubey , Arijit Sehanobish , Isaac Reid

Algorithms for mining very large graphs, such as those representing online social networks, to discover the relative frequency of small subgraphs within them are of high interest to sociologists, computer scientists and marketeers alike.…

Social and Information Networks · Computer Science 2017-06-16 Guyue Han , Harish Sethu