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Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

社会与信息网络 · 计算机科学 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

We study how the behavior of viral spreading processes is influenced by local structural properties of the network over which they propagate. For a wide variety of spreading processes, the largest eigenvalue of the adjacency matrix of the…

最优化与控制 · 数学 2012-09-05 Victor M. Preciado , Moez Draief , Ali Jadbabaie

Accurate and reliable ego-localization is critical for autonomous driving. In this paper, we present EgoVM, an end-to-end localization network that achieves comparable localization accuracy to prior state-of-the-art methods, but uses…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Yuzhe He , Shuang Liang , Xiaofei Rui , Chengying Cai , Guowei Wan

We study the network localization problem, i.e., the problem of determining node positions of a wireless sensor network modeled as a unit disk graph. In an arbitrarily deployed network, positions of all nodes of the network may not be…

分布式、并行与集群计算 · 计算机科学 2020-08-04 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

Network embedding has been intensively studied in the literature and widely used in various applications, such as link prediction and node classification. While previous work focus on the design of new algorithms or are tailored for various…

社会与信息网络 · 计算机科学 2019-11-12 Wenqing Lin , Feng He , Faqiang Zhang , Xu Cheng , Hongyun Cai

Eigenvector centrality is a standard network analysis tool for determining the importance of (or ranking of) entities in a connected system that is represented by a graph. However, many complex systems and datasets have natural multi-way…

社会与信息网络 · 计算机科学 2019-03-25 Austin R. Benson

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

种群与进化 · 定量生物学 2020-07-28 Doina Bucur , Petter Holme

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

机器学习 · 统计学 2014-01-20 Brian Baingana , Georgios B. Giannakis

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

社会与信息网络 · 计算机科学 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

This paper presents the applications of Eigenvalues and Eigenvectors (as part of spectral decomposition) to analyze the bipartivity index of graphs as well as to predict the set of vertices that will constitute the two partitions of graphs…

社会与信息网络 · 计算机科学 2016-01-20 Natarajan Meghanathan

Deep learning on graphs has become a popular research topic with many applications. However, past work has concentrated on learning graph embedding tasks, which is in contrast with advances in generative models for images and text. Is it…

机器学习 · 计算机科学 2018-02-13 Martin Simonovsky , Nikos Komodakis

We consider a setting where individuals interact in a network, each choosing actions which optimize utility as a function of neighbors' actions. A central authority aiming to maximize social welfare at equilibrium can intervene by paying…

社会与信息网络 · 计算机科学 2020-07-14 William Brown , Utkarsh Patange

We study a simple embedding technique based on a matrix of personalized PageRank vectors seeded on a random set of nodes. We show that the embedding produced by the element-wise logarithm of this matrix (1) are related to the spectral…

社会与信息网络 · 计算机科学 2022-07-26 Disha Shur , Yufan Huang , David F. Gleich

A serious challenge when finding influential actors in real-world social networks is the lack of knowledge about the structure of the underlying network. Current state-of-the-art methods rely on hand-crafted sampling algorithms; these…

社会与信息网络 · 计算机科学 2020-02-21 Harshavardhan Kamarthi , Priyesh Vijayan , Bryan Wilder , Balaraman Ravindran , Milind Tambe

In this article, we consider eigenvector centrality for the nodes of a graph and study the robustness (and stability) of this popular centrality measure. For a given weighted graph {\mathcal G} (both directed and undirected), we consider…

数值分析 · 数学 2025-08-14 Michele Benzi , Nicola Guglielmi

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

社会与信息网络 · 计算机科学 2020-08-10 Xiao Shen , Fu-Lai Chung

The spectrum of the nonbacktracking matrix associated to a network is known to contain fundamental information regarding percolation properties of the network. Indeed, the inverse of its leading eigenvalue is often used as an estimate for…

物理与社会 · 物理学 2025-01-30 James Martin , Tim Rogers , Luca Zanetti

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

社会与信息网络 · 计算机科学 2020-11-12 Giuseppe Pirrò

Networks are often studied using the eigenvalues of their adjacency matrix, a powerful mathematical tool with a wide range of applications. Since in real systems the exact graph structure is not known, researchers resort to random graphs to…

谱理论 · 数学 2020-01-30 Pau Vilimelis Aceituno

The existing methods to calculate the Eigenvector Centrality(EC) tend to not be robust enough for determination of EC in low time complexity or not well-scalable for large networks, hence rendering them practically unreliable/…

社会与信息网络 · 计算机科学 2021-11-10 Appan Rakaraddi , Mahardhika Pratama