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Betweenness is a well-known centrality measure that ranks the nodes according to their participation in the shortest paths of a network. In several scenarios, having a high betweenness can have a positive impact on the node itself. Hence,…

Data Structures and Algorithms · Computer Science 2018-08-02 Elisabetta Bergamini , Pierluigi Crescenzi , Gianlorenzo D'Angelo , Henning Meyerhenke , Lorenzo Severini , Yllka Velaj

This paper introduces two new closely related betweenness centrality measures based on the Randomized Shortest Paths (RSP) framework, which fill a gap between traditional network centrality measures based on shortest paths and more recent…

Social and Information Networks · Computer Science 2016-02-03 Ilkka Kivimäki , Bertrand Lebichot , Jari Saramäki , Marco Saerens

As relational datasets modeled as graphs keep increasing in size and their data-acquisition is permeated by uncertainty, graph-based analysis techniques can become computationally and conceptually challenging. In particular, node centrality…

Social and Information Networks · Computer Science 2020-03-10 Marco Avella-Medina , Francesca Parise , Michael T. Schaub , Santiago Segarra

In network analysis, the betweenness centrality of a node informally captures the fraction of shortest paths visiting that node. The computation of the betweenness centrality measure is a fundamental task in the analysis of modern networks,…

Social and Information Networks · Computer Science 2022-03-02 Diego Santoro , Ilie Sarpe

We describe a limitation in the expressiveness of the predictive uncertainty estimate given by mean-field variational inference (MFVI), a popular approximate inference method for Bayesian neural networks. In particular, MFVI fails to give…

Machine Learning · Statistics 2019-06-28 Andrew Y. K. Foong , Yingzhen Li , José Miguel Hernández-Lobato , Richard E. Turner

Vertex centrality measures are a multi-purpose analysis tool, commonly used in many application environments to retrieve information and unveil knowledge from the graphs and network structural properties. However, the algorithms of such…

Social and Information Networks · Computer Science 2018-12-03 Felipe Grando , Luis C. Lamb

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

Physics and Society · Physics 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

In this paper we are interested in a version of the All-pairs Shortest Paths problem (APSP) that fits neither in the exact nor in the approximate case. We define a measure of centrality of a shortest path, related to the ``importance'' of…

Data Structures and Algorithms · Computer Science 2020-05-06 Alane M. de Lima , Murilo V. G. da Silva , André L. Vignatti

Margin has played an important role on the design and analysis of learning algorithms during the past years, mostly working with the maximization of the minimum margin. Recent years have witnessed the increasing empirical studies on the…

Machine Learning · Computer Science 2022-06-01 Meng-Zhang Qian , Zheng Ai , Teng Zhang , Wei Gao

Betweenness centrality quantifies the importance of a vertex for the information flow in a network. We propose a flexible definition of betweenness for temporal multiplexes, where geodesics are determined accounting for the topological and…

Physics and Society · Physics 2020-02-04 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

Spanning Centrality is a measure used in network analysis to determine the importance of an edge in a graph based on its contribution to the connectivity of the entire network. Specifically, it quantifies how critical an edge is in terms of…

Social and Information Networks · Computer Science 2025-03-25 Gökhan Göktürk , Kamer Kaya

Betweenness is a measure of the centrality of a node in a network, and is normally calculated as the fraction of shortest paths between node pairs that pass through the node of interest. Betweenness is, in some sense, a measure of the…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

Centrality measures for simple graphs are well-defined and several main-memory algorithms exist for each. Simple graphs are not adequate for modeling complex data sets with multiple entities and relationships. Multilayer networks (MLNs)…

Information Theory · Computer Science 2023-08-15 Hamza Reza Pavel , Abhishek Santra , Sharma Chakravarthy

In this work we present PercIS, an algorithm based on Importance Sampling to approximate the percolation centrality of all the nodes of a graph. Percolation centrality is a generalization of betweenness centrality to attributed graphs, and…

Social and Information Networks · Computer Science 2025-09-16 Antonio Cruciani , Leonardo Pellegrina

Saliency computation models aim to imitate the attention mechanism in the human visual system. The application of deep neural networks for saliency prediction has led to a drastic improvement over the last few years. However, deep models…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Saman Zabihi , Hamed Rezazadegan Tavakoli , Ali Borji

A regularized artificial neural network (RANN) is proposed for interval-valued data prediction. The ANN model is selected due to its powerful capability in fitting linear and nonlinear functions. To meet mathematical coherence requirement…

Computation · Statistics 2018-08-22 Zebin Yang , Dennis K. J. Lin , Aijun Zhang

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

Systems and Control · Computer Science 2012-08-16 Amir Noori

Betweenness centrality, measured by the number of times a vertex occurs on all shortest paths of a graph, has been recognized as a key indicator for the importance of a vertex in the network. However, the betweenness of a vertex is often…

Databases · Computer Science 2021-07-22 Qi Zhang , Rong-Hua Li , Minjia Pan , Yongheng Dai , Guoren Wang , Ye Yuan