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Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

数据结构与算法 · 计算机科学 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

In this paper we present new ideas to accelerate the computation of the eigenvector of the transition matrix associated to the PageRank algorithm. New ideas are based on the decomposition of the matrix-vector product that can be seen as a…

离散数学 · 计算机科学 2012-02-29 Dohy Hong

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

分布式、并行与集群计算 · 计算机科学 2012-10-09 Annie I. Chen , Asuman Ozdaglar

In this paper, we study Ranking, a well-known randomized greedy matching algorithm, for general graphs. The algorithm was originally introduced by Karp, Vazirani, and Vazirani [STOC 1990] for the online bipartite matching problem with…

数据结构与算法 · 计算机科学 2025-11-11 Mahsa Derakhshan , Mohammad Roghani , Mohammad Saneian , Tao Yu

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

数值分析 · 数学 2018-11-15 Gianna M. Del Corso , Francesco Romani

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

最优化与控制 · 数学 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

最优化与控制 · 数学 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

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…

数据结构与算法 · 计算机科学 2024-09-16 Hanzhi Wang

In this paper, we analyze the efficiency of Monte Carlo methods for incremental computation of PageRank, personalized PageRank, and similar random walk based methods (with focus on SALSA), on large-scale dynamically evolving social…

数据结构与算法 · 计算机科学 2010-09-01 Bahman Bahmani , Abdur Chowdhury , Ashish Goel

In the paper we compare well known numerical methods of finding PageRank vector. We propose Markov Chain Monte Carlo method and obtain a new estimation for this method. We also propose a new method for PageRank problem based on the…

最优化与控制 · 数学 2016-05-27 Alexander Gasnikov , Denis Dmitriev

Personalized PageRank (PPR) is a measure of the importance of a node from the perspective of another (we call these nodes the $\textit{target}$ and the $\textit{source}$, respectively). PPR has been used in many applications, such as…

社会与信息网络 · 计算机科学 2020-02-10 Daniel Vial , Vijay Subramanian

PageRank is a widely used centrality measure that assesses the significance of vertices in a graph by considering their connections and the importance of those connections. Efficiently updating PageRank on dynamic graphs is essential for…

分布式、并行与集群计算 · 计算机科学 2025-06-24 Subhajit Sahu

PageRank is a popular centrality metric that assigns importance to the vertices of a graph based on its neighbors and their score. Efficient parallel algorithms for updating PageRank on dynamic graphs is crucial for various applications,…

分布式、并行与集群计算 · 计算机科学 2024-01-29 Subhajit Sahu

Recently, the influence of potentially present symmetries has begun to be studied in complex networks. A typical way of studying symmetries is via the automorphism group of the corresponding graph. Since complex networks are often subject…

社会与信息网络 · 计算机科学 2025-02-26 David Hartman , Jaroslav Hlinka , Anna Pidnebesna , František Szczepanik

Distributed optimization utilizes local computation and communication to realize a global aim of optimizing the sum of local objective functions. This article addresses a class of constrained distributed nonconvex optimization problems…

最优化与控制 · 数学 2024-05-07 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective Hessenberg-type method built upon the Hessenberg process for…

数值分析 · 数学 2023-06-13 Xian-Ming Gu , Siu-Long Lei , Ke Zhang , Zhao-Li Shen , Chun Wen , Bruno Carpentieri

Graph Neural Networks (GNNs) have achieved tremendous success in a variety of real-world applications by relying on the fixed graph data as input. However, the initial input graph might not be optimal in terms of specific downstream tasks,…

机器学习 · 计算机科学 2023-09-22 Beidi Zhao , Boxin Du , Zhe Xu , Liangyue Li , Hanghang Tong

Modeling complex multiway relationships in large-scale networks is becoming more and more challenging in data science. The multilinear PageRank problem, arising naturally in the study of higher-order Markov chains, is a powerful framework…

数值分析 · 数学 2025-09-30 Maryam Boubekraoui , Ridwane Tahiri

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…

数据结构与算法 · 计算机科学 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

Unions of graph Fourier multipliers are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators to the high-dimensional signals…

分布式、并行与集群计算 · 计算机科学 2016-11-17 David I Shuman , Pierre Vandergheynst , Pascal Frossard