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The sensitivity of networks regarding the removal of vertices has been studied extensively within the last 15 years. A common approach to measure this sensitivity is (i) removing successively vertices by following a specific removal…

社会与信息网络 · 计算机科学 2020-01-09 Christoph Martin , Peter Niemeyer

We consider the effect of noise in sparse Boolean Networks with redundant functions. We show that they always exhibit a non-zero error level, and the dynamics undergoes a phase transition from non-ergodicity to ergodicity, as a function of…

生物物理 · 物理学 2015-03-13 Tiago P. Peixoto

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

社会与信息网络 · 计算机科学 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

Complex networks are made up of vertices and edges. The latter connect the vertices. There are several ways to measure the importance of the vertices, e.g., by counting the number of edges that start or end at each vertex, or by using the…

物理与社会 · 物理学 2024-07-08 Silvia Noschese , Lothar Reichel

Centrality is a fundamental concept in network science, providing critical insights into the structure and dynamics of complex systems such as social, transportation, biological and financial networks. Despite its extensive use, there is no…

社会与信息网络 · 计算机科学 2025-11-21 Sergey Shvydun

The recently introduced concept of dynamic communicability is a valuable tool for ranking the importance of nodes in a temporal network. Two metrics, broadcast score and receive score, were introduced to measure the centrality of a node…

物理与社会 · 物理学 2016-09-29 Ewan Colman , Nathaniel Charlton

Understanding generalization in deep neural networks is an active area of research. A promising avenue of exploration has been that of margin measurements: the shortest distance to the decision boundary for a given sample or that sample's…

机器学习 · 计算机科学 2024-05-29 Coenraad Mouton

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

物理与社会 · 物理学 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Sampling from large networks represents a fundamental challenge for social network research. In this paper, we explore the sensitivity of different sampling techniques (node sampling, edge sampling, random walk sampling, and snowball…

社会与信息网络 · 计算机科学 2017-02-20 Claudia Wagner , Philipp Singer , Fariba Karimi , Jürgen Pfeffer , Markus Strohmaier

The temporal component of social networks is often neglected in their analysis, and statistical measures are typically performed on a "static" representation of the network. As a result, measures of importance (like betweenness centrality)…

社会与信息网络 · 计算机科学 2015-05-13 Amir Afrasiabi Rad , Paola Flocchini , Joanne Gaudet

In both natural and engineered systems, communication often occurs dynamically over networks ranging from highly structured grids to largely disordered graphs. To use, or comprehend the use of, networks as efficient communication media…

物理与社会 · 物理学 2020-03-17 Giacomo Baggio , Virginia Rutten , Guillaume Hennequin , Sandro Zampieri

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

We consider the problem of identifying the most influential nodes for a spreading process on a network when prior knowledge about structure and dynamics of the system is incomplete or erroneous. Specifically, we perform a numerical analysis…

物理与社会 · 物理学 2018-10-09 Şirag Erkol , Ali Faqeeh , Filippo Radicchi

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

The world around us consists of objects that have different relationships with each other. The result of these communications is various networks, part of which are bipartite networks. While many studies have investigated essential network…

社会与信息网络 · 计算机科学 2021-12-03 Ali Hojjat , Ghazaleh Haddad

(1) The enhanced capability of Graph Neural Networks (GNNs) in unsupervised community detection of clustered nodes is attributed to their capacity to encode both the connectivity and feature information spaces of graphs. The identification…

机器学习 · 计算机科学 2024-01-05 William Leeney , Ryan McConville

Many real networks that are inferred or collected from data are incomplete due to missing edges. Missing edges can be inherent to the dataset (Facebook friend links will never be complete) or the result of sampling (one may only have access…

社会与信息网络 · 计算机科学 2016-09-28 Matthew Burgess , Eytan Adar , Michael Cafarella

Modularity, since its introduction, has remained one of the most widely used metrics to assess the quality of community structure in a complex network. However the resolution limit problem associated with modularity limits its applicability…

物理与社会 · 物理学 2018-06-13 Tianlong Chen , Pramesh Singh , Kevin E. Bassler

We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

生物物理 · 物理学 2015-03-17 Michael J. Barber , Manfred L. Ristig

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…

统计力学 · 物理学 2007-05-23 M. E. J. Newman