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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 $s$…

数据结构与算法 · 计算机科学 2020-06-25 Hanzhi Wang , Zhewei Wei , Junhao Gan , Sibo Wang , Zengfeng Huang

How to enable efficient analytics over such data has been an increasingly important research problem. Given the sheer size of such social networks, many existing studies resort to sampling techniques that draw random nodes from an online…

社会与信息网络 · 计算机科学 2015-05-12 Zhuojie Zhou , Nan Zhang , Gautam Das

We propose a scalable, efficient and statistically motivated computational framework for Graphical Lasso (Friedman et al., 2007b) - a covariance regularization framework that has received significant attention in the statistics community…

机器学习 · 统计学 2011-10-26 Rahul Mazumder , Deepak K. Agarwal

The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at…

数据结构与算法 · 计算机科学 2014-05-22 Balázs Csanád Csáji , Raphaël M. Jungers , Vincent D. Blondel

PageRank is a widely used centrality measure that "ranks" vertices in a graph by considering the connections and their importance. In this report, we first introduce one of the most efficient GPU implementations of Static PageRank, which…

分布式、并行与集群计算 · 计算机科学 2024-04-25 Subhajit Sahu

Partitioning the vertices of a (hyper)graph into k roughly balanced blocks such that few (hyper)edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge (hyper)graphs using low…

数据结构与算法 · 计算机科学 2023-02-14 Kamal Eyubov , Marcelo Fonseca Faraj , Christian Schulz

The PageRank algorithm enables to rank the nodes of a network through a specific eigenvector of the Google matrix, using a damping parameter $\alpha \in ]0,1[$. Using extensive numerical simulations of large web networks, with a special…

信息检索 · 计算机科学 2011-11-04 K. M. Frahm , B. Georgeot , D. L. Shepelyansky

Low-latency gravitational wave search pipelines such as GstLAL take advantage of low-rank factorization of the template matrix via singular value decomposition (SVD). With unprecedented improvements in detector bandwidth and sensitivity in…

广义相对论与量子宇宙学 · 物理学 2021-08-03 Amit Reza , Anirban Dasgupta , Anand S. Sengupta

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

数据库 · 计算机科学 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized…

离散数学 · 计算机科学 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

We propose a network-filtering method, the Triangulated Maximally Filtered Graph (TMFG), that provides an approximate solution to the Weighted Maximal Planar Graph problem. The underlying idea of TMFG consists in building a triangulation…

数据结构与算法 · 计算机科学 2015-08-26 Guido Previde Massara , T. Di Matteo , Tomaso Aste

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

数据结构与算法 · 计算机科学 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

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…

机器学习 · 计算机科学 2020-09-30 Yuwei Hu , Zihao Ye , Minjie Wang , Jiali Yu , Da Zheng , Mu Li , Zheng Zhang , Zhiru Zhang , Yida Wang

The potential for machine learning systems to amplify social inequities and unfairness is receiving increasing popular and academic attention. Much recent work has focused on developing algorithmic tools to assess and mitigate such…

The quantization of the PageRank algorithm is a promising tool for a future quantum internet. Here we present a modification of the quantum PageRank introducing arbitrary phase rotations (APR) in the underlying Szegedy's quantum walk. We…

量子物理 · 物理学 2023-02-01 Sergio A. Ortega , Miguel A. Martin-Delgado

Recently, Graph Neural Networks (GNNs) have gained popularity in a variety of real-world scenarios. Despite the great success, the architecture design of GNNs heavily relies on manual labor. Thus, automated graph neural network (AutoGNN)…

机器学习 · 计算机科学 2021-12-03 Zhili Wang , Shimin Di , Lei Chen

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

数据结构与算法 · 计算机科学 2021-02-09 Alexandra Porter , Mary Wootters

Training modern neural networks on large datasets is computationally and environmentally costly. We introduce GRAFT, a scalable in-training subset selection method that (i) extracts a low-rank feature representation for each batch, (ii)…

机器学习 · 计算机科学 2025-08-25 Ashish Jha , Anh huy Phan , Razan Dibo , Valentin Leplat

We present four novel approximation algorithms for finding triangulation of minimum treewidth. Two of the algorithms improve on the running times of algorithms by Robertson and Seymour, and Becker and Geiger that approximate the optimum by…

数据结构与算法 · 计算机科学 2013-01-14 Eyal Amir

Graph-based methods have been demonstrated as one of the most effective approaches for semi-supervised learning, as they can exploit the connectivity patterns between labeled and unlabeled data samples to improve learning performance.…

机器学习 · 计算机科学 2019-07-01 Qimai Li , Xiao-Ming Wu , Han Liu , Xiaotong Zhang , Zhichao Guan