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The betweenness centrality (BC) is an important quantity for understanding the structure of complex large networks. However, its calculation is in general difficult and known in simple cases only. In particular, the BC has been exactly…

物理与社会 · 物理学 2022-05-18 Vincent Verbavatz , Marc Barthelemy

Improving the robustness of neural nets in regression tasks is key to their application in multiple domains. Deep learning-based approaches aim to achieve this goal either by improving their prediction of specific values (i.e., point…

机器学习 · 计算机科学 2021-06-22 Eli Simhayev , Gilad Katz , Lior Rokach

Centrality measures, erstwhile popular amongst the sociologists and psychologists, have seen broad and increasing applications across several disciplines of late. Amongst a plethora of application specific definitions available in the…

社会与信息网络 · 计算机科学 2017-03-23 Rishi Ranjan Singh , Shubham Chaudhary , Manas Agarwal

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

Betweenness centrality (BC) is one of the most used centrality measures for network analysis, which seeks to describe the importance of nodes in a network in terms of the fraction of shortest paths that pass through them. It is key to many…

社会与信息网络 · 计算机科学 2019-08-30 Changjun Fan , Li Zeng , Yuhui Ding , Muhao Chen , Yizhou Sun , Zhong Liu

Finding central nodes is a fundamental problem in network analysis. Betweenness centrality is a well-known measure which quantifies the importance of a node based on the fraction of shortest paths going though it. Due to the dynamic nature…

数据结构与算法 · 计算机科学 2017-04-28 Elisabetta Bergamini , Henning Meyerhenke , Mark Ortmann , Arie Slobbe

Recent decades have witnessed the tremendous development of network science, which indeed brings a new and insightful language to model real systems of different domains. Betweenness, a widely employed centrality in network science, is a…

社会与信息网络 · 计算机科学 2017-01-24 Rui Fan , Ke Xu , Jichang Zhao

Computing node importance in networks is a long-standing fundamental problem that has driven extensive study of various centrality measures. A particularly well-known centrality measure is betweenness centrality, which becomes…

The sample mean is often used to aggregate different unbiased estimates of a parameter, producing a final estimate that is unbiased but possibly high-variance. This paper introduces the Bayesian median of means, an aggregation rule that…

统计理论 · 数学 2019-06-05 Paulo Orenstein

Betweenness centrality---measuring how many shortest paths pass through a vertex---is one of the most important network analysis concepts for assessing the relative importance of a vertex. The well-known algorithm of Brandes [J. Math.…

数据结构与算法 · 计算机科学 2020-05-14 Matthias Bentert , Alexander Dittmann , Leon Kellerhals , André Nichterlein , Rolf Niedermeier

Data classification is a major machine learning paradigm, which has been widely applied to solve a large number of real-world problems. Traditional data classification techniques consider only physical features (e.g., distance, similarity,…

机器学习 · 计算机科学 2020-11-12 Esteban Vilca , Liang Zhao

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

组合数学 · 数学 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

Betweenness centrality is a metric that seeks to quantify a sense of the importance of a vertex in a network graph in terms of its "control" on the distribution of information along geodesic paths throughout that network. This quantity…

网络与互联网体系结构 · 计算机科学 2009-08-28 Eric D. Kolaczyk , David B. Chua , Marc Barthelemy

We propose a betweenness centrality measure and algorithms for stochastic networks, where edges can fail and weights vary across realizations, making the most central node random. Our approach models the sequence of reported central nodes…

社会与信息网络 · 计算机科学 2026-05-19 Wencheng Bao , Eleftheria Kontou , Chrysafis Vogiatzis

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

社会与信息网络 · 计算机科学 2016-08-16 Sebastian Wandelt , Xiaoqian Sun

We consider the incremental computation of the betweenness centrality of all vertices in a large complex network modeled as a graph G = (V, E), directed or undirected, with positive real edge-weights. The current widely used algorithm to…

数据结构与算法 · 计算机科学 2013-11-19 Meghana Nasre , Matteo Pontecorvi , Vijaya Ramachandran

This paper presents an estimation method for time-varying graph signals among multiple sub-networks. In many sensor networks, signals observed are associated with nodes (i.e., sensors), and edges of the network represent the inter-node…

信号处理 · 电气工程与系统科学 2024-09-18 Tsutahiro Fukuhara , Junya Hara , Hiroshi Higashi , Yuichi Tanaka

A central task in network analysis is to identify important nodes in a graph. Betweenness centrality (BC) is a popular centrality measure that captures the significance of nodes based on the number of shortest paths each node intersects…

社会与信息网络 · 计算机科学 2024-08-05 Charalampos E. Tsourakakis

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

Here we present a range-limited approach to centrality measures in both non-weighted and weighted directed complex networks. We introduce an efficient method that generates for every node and every edge its betweenness centrality based on…

物理与社会 · 物理学 2011-11-24 Maria Ercsey-Ravasz , Ryan Lichtenwalter , Nitesh V. Chawla , Zoltan Toroczkai