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We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

离散数学 · 计算机科学 2014-08-20 Fern Y. Hunt

Shortest path network interdiction is a combinatorial optimization problem on an activity network arising in a number of important security-related applications. It is classically formulated as a bilevel maximin problem representing an…

最优化与控制 · 数学 2010-09-06 Alexander Gutfraind , Aric A. Hagberg , David Izraelevitz , Feng Pan

Effective Resistance (ER) is a fundamental tool in various graph learning tasks. In this paper, we address the problem of efficiently approximating ER on a graph $\mathcal{G}=(\mathcal{V},\mathcal{E})$ with $n$ vertices and $m$ edges.…

数据结构与算法 · 计算机科学 2025-07-08 Yichun Yang , Rong-Hua Li , Meihao Liao , Guoren Wang

Edge service caching can significantly mitigate latency and reduce communication and computing overhead by fetching and initializing services (applications) from clouds. The freshness of cached service data is critical when providing…

信息论 · 计算机科学 2024-08-27 Yuhan Yi , Guanglin Zhang , Hai Jiang

In many applications, it is needed to change the topology of a tensor network directly and without approximation. This work will introduce a general scheme that satisfies these needs. We will describe the procedure by two examples and show…

数值分析 · 数学 2012-03-08 Stefan Handschuh

In order to better accommodate the dramatically increasing demand for data caching and computing services, storage and computation capabilities should be endowed to some of the intermediate nodes within the network. In this paper, we design…

网络与互联网体系结构 · 计算机科学 2017-06-30 Yuchen Zhou , F. Richard Yu , Jian Chen , Yonghong Kuo

In graph signal processing, data samples are associated to vertices on a graph, while edge weights represent similarities between those samples. We propose a convex optimization problem to learn sparse well connected graphs from data. We…

信号处理 · 电气工程与系统科学 2020-04-21 Eduardo Pavez , Antonio Ortega

Avoiding overfitting is a central challenge in machine learning, yet many large neural networks readily achieve zero training loss. This puzzling contradiction necessitates new approaches to the study of overfitting. Here we quantify…

信息论 · 计算机科学 2022-10-13 Vudtiwat Ngampruetikorn , David J. Schwab

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

社会与信息网络 · 计算机科学 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks. For static networks, approximation based on…

社会与信息网络 · 计算机科学 2014-09-23 Elisabetta Bergamini , Henning Meyerhenke , Christian L. Staudt

We develop efficient and effective strategies for the update of Katz centralities after node and edge removal in simple graphs. We provide explicit formulas for the ``loss of walks" a network suffers when nodes/edges are removed, and use…

数值分析 · 数学 2025-05-02 Francesca Arrigo , Daniele Bertaccini , Alessandro Filippo

In this paper, we study the intricate realm of digital twin synchronization and deployment in multi-access edge computing (MEC) networks, with the aim of optimizing and balancing the two performance metrics Age of Information (AoI) and…

网络与互联网体系结构 · 计算机科学 2024-09-19 Yongna Guo , Yaru Fu , Yan Zhang , Tony Q. S. Quek

Many applications produce massive complex networks whose analysis would benefit from parallel processing. Parallel algorithms, in turn, often require a suitable network partition. For solving optimization tasks such as graph partitioning on…

数据结构与算法 · 计算机科学 2014-02-14 Roland Glantz , Henning Meyerhenke , Christian Schulz

We present an efficient algorithm for the min-max correlation clustering problem. The input is a complete graph where edges are labeled as either positive $(+)$ or negative $(-)$, and the objective is to find a clustering that minimizes the…

数据结构与算法 · 计算机科学 2025-02-19 Nairen Cao , Steven Roche , Hsin-Hao Su

If a piece of information is released from a media site, can it spread, in 1 month, to a million web pages? This influence estimation problem is very challenging since both the time-sensitive nature of the problem and the issue of…

社会与信息网络 · 计算机科学 2013-11-18 Nan Du , Le Song , Manuel Gomez Rodriguez , Hongyuan Zha

Online influence maximization aims to maximize the influence spread of a content in a social network with unknown network model by selecting a few seed nodes. Recent studies followed a non-adaptive setting, where the seed nodes are selected…

机器学习 · 计算机科学 2022-07-01 Kaixuan Huang , Yu Wu , Xuezhou Zhang , Shenyinying Tu , Qingyun Wu , Mengdi Wang , Huazheng Wang

A widely studied process of influence diffusion in social networks posits that the dynamics of influence diffusion evolves as follows: Given a graph $G=(V,E)$, representing the network, initially \emph{only} the members of a given…

数据结构与算法 · 计算机科学 2015-12-22 Gennaro Cordasco , Luisa Gargano , Adele A. Rescigno , Ugo Vaccaro

Many information systems use tags and keywords to describe and annotate content. These allow for efficient organization and categorization of items, as well as facilitate relevant search queries. As such, the selected set of tags for an…

社会与信息网络 · 计算机科学 2016-05-20 Nir Rosenfeld , Amir Globerson

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

数据结构与算法 · 计算机科学 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

网络与互联网体系结构 · 计算机科学 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami