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Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

统计方法学 · 统计学 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

统计方法学 · 统计学 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot

Much of the past work in network analysis has focused on analyzing discrete graphs, where binary edges represent the "presence" or "absence" of a relationship. Since traditional network measures (e.g., betweenness centrality) utilize a…

社会与信息网络 · 计算机科学 2011-04-05 Joseph J. Pfeiffer , Jennifer Neville

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

数据分析、统计与概率 · 物理学 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

社会与信息网络 · 计算机科学 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

Attributed network embedding has attracted plenty of interest in recent years. It aims to learn task-independent, low-dimensional, and continuous vectors for nodes preserving both topology and attribute information. Most of the existing…

机器学习 · 计算机科学 2020-11-03 Xueyan Liu , Bo Yang , Wenzhuo Song , Katarzyna Musial , Wanli Zuo , Hongxu Chen , Hongzhi Yin

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

社会与信息网络 · 计算机科学 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Bipartite networks manifest as a stream of edges that represent transactions, e.g., purchases by retail customers. Many machine learning applications employ neighborhood-based measures to characterize the similarity among the nodes, such as…

社会与信息网络 · 计算机科学 2018-05-09 Nesreen K. Ahmed , Nick Duffield , Liangzhen Xia

Probability density function estimation with weighted samples is the main foundation of all adaptive importance sampling algorithms. Classically, a target distribution is approximated either by a non-parametric model or within a parametric…

机器学习 · 计算机科学 2023-10-16 Julien Demange-Chryst , François Bachoc , Jérôme Morio , Timothé Krauth

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

社会与信息网络 · 计算机科学 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang

A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized…

社会与信息网络 · 计算机科学 2012-08-06 Rumi Ghosh , Kristina Lerman

A random set is a generalisation of a random variable, i.e. a set-valued random variable. The random set theory allows a unification of other uncertainty descriptions such as interval variable, mass belief function in Dempster-Shafer theory…

数值分析 · 数学 2018-11-27 Truong-Vinh Hoang , Hermann G. Matthies

We consider the problem of selecting important nodes in a random network, where the nodes connect to each other randomly with certain transition probabilities. The node importance is characterized by the stationary probabilities of the…

统计方法学 · 统计学 2019-01-14 Haidong Li , Xiaoyun Xu , Yijie Peng , Chun-Hung Chen

Social sampling is a novel randomized message passing protocol inspired by social communication for opinion formation in social networks. In a typical social sampling algorithm, each agent holds a sample from the empirical distribution of…

系统与控制 · 电气工程与系统科学 2024-12-20 Qian Liu , Xingkang He , Haitao Fang

In a social network individuals or nodes connect to other nodes by choosing one of the channels of communication at a time to re-establish the existing social links. Since available data sets are usually restricted to a limited number of…

物理与社会 · 物理学 2019-05-24 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

This paper introduces a novel framework that combines traditional centrality measures with eigenvalue spectra and diffusion processes for a more comprehensive analysis of complex networks. While centrality measures such as degree,…

其他计算机科学 · 计算机科学 2025-03-28 Arsh Jha

Randomising networks using a naive `accept-all' edge-swap algorithm is generally biased. Building on recent results for nondirected graphs, we construct an ergodic detailed balance Markov chain with non-trivial acceptance probabilities for…

定量方法 · 定量生物学 2011-12-21 E. S. Roberts , A. C. C. Coolen

In complex networks, each node has some unique characteristics that define the importance of the node based on the given application-specific context. These characteristics can be identified using various centrality metrics defined in the…

社会与信息网络 · 计算机科学 2020-11-17 Akrati Saxena , Sudarshan Iyengar

This article investigates a family of centrality models for urban networks that incorporate both topological and non-topological factors. Since centrality is inherently recursive, these models can be formulated as fixed-point equations,…

社会与信息网络 · 计算机科学 2026-02-17 María Magdalena Martínez-Rico , Luis Felipe Prieto-Martínez