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The modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

数据分析、统计与概率 · 物理学 2007-12-12 Michael J. Barber

Evolutionary game theory is employed to study topological conditions of scale-free networks for the evolution of cooperation. We show that Apollonian Networks (ANs) are perfect scale-free networks, on which cooperation can spread to all…

种群与进化 · 定量生物学 2015-03-19 Dong-Ping Yang , Hai Lin , Chen-Xu Wu , Jianwei Shuai

Nowadays there is a multitude of measures designed to capture different aspects of network structure. To be able to say if the structure of certain network is expected or not, one needs a reference model (null model). One frequently used…

其他定量生物学 · 定量生物学 2007-05-23 Petter Holme , Jing Zhao

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

无序系统与神经网络 · 物理学 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

物理与社会 · 物理学 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu

In this work we propose a computational scheme inspired by the workings of human cognition. We embed some fundamental aspects of the human cognitive system into this scheme in order to obtain a minimization of computational resources and…

物理与社会 · 物理学 2015-03-20 Daniel Borkmann , Andrea Guazzini , Emanuele Massaro , Stefan Rudolph

Within the last fifteen years, network theory has been successfully applied both to natural sciences and to socioeconomic disciplines. In particular, bipartite networks have been recognized to provide a particularly insightful…

物理与社会 · 物理学 2015-12-07 Fabio Saracco , Riccardo Di Clemente , Andrea Gabrielli , Tiziano Squartini

Synchronization over networks depends strongly on the structure of the coupling between the oscillators. When the coupling presents certain regularities, the dynamics can be coarse-grained into clusters by means of External Equitable…

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

物理与社会 · 物理学 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

In a decentralized machine learning system, data is typically partitioned among multiple devices or nodes, each of which trains a local model using its own data. These local models are then shared and combined to create a global model that…

机器学习 · 计算机科学 2023-08-01 Luigi Palmieri , Lorenzo Valerio , Chiara Boldrini , Andrea Passarella

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

应用统计 · 统计学 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

社会与信息网络 · 计算机科学 2018-02-21 Austin R. Benson

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

机器学习 · 计算机科学 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

We propose a general framework for modelling network data that is designed to describe aspects of non-exchangeable networks. Conditional on latent (unobserved) variables, the edges of the network are generated by their finite growth history…

统计理论 · 数学 2020-07-29 Weichi Wu , Sofia Olhede , Patrick Wolfe

Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

物理与社会 · 物理学 2018-10-31 Raul J Mondragon

Motivated by a recently introduced network growth mechanism that rely on the ranking of node prestige measures [S. Fortunato \emph{et al}., Phys. Rev. Lett. \textbf{96}, 218701 (2006)], a rank-based model for weighted network evolution is…

无序系统与神经网络 · 物理学 2015-06-25 Liang Tian , Da-Ning Shi , Chen-Ping Zhu

The coexistence of sparsity and clustering (non-vanishing average fraction of triangles per node) is one of the few structural features that, irrespective of finer details, are ubiquitously observed across large real-world networks. This…

概率论 · 数学 2026-03-17 Alessio Catanzaro , Remco van der Hofstad , Diego Garlaschelli

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

计算机科学与博弈论 · 计算机科学 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

Finding dense bipartite subgraphs and detecting the relations among them is an important problem for affiliation networks that arise in a range of domains, such as social network analysis, word-document clustering, the science of science,…

社会与信息网络 · 计算机科学 2017-11-29 A. Erdem Sariyuce , Ali Pinar