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We propose an extended local-world evolving network model including a triad formation step. In the process of network evolution, random fluctuation in the number of new edges is involved. We derive analytical expressions for degree…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong , Bing Wang , Shuigeng Zhou , Jihong Guan

Much recent research activity has been devoted to empirical study and theoretical models of complex networks (random graphs) with three qualitative features: power-law degree distribution, local clustering of edges, and small diameter. We…

无序系统与神经网络 · 物理学 2017-08-23 David J. Aldous

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

社会与信息网络 · 计算机科学 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

We propose a synthetical weights' dynamic mechanism for weighted networks which takes into account the influences of strengths of nodes, weights of links and incoming new vertices. Strength/Weight preferential strategies are used in these…

物理与社会 · 物理学 2007-09-10 Lujun Fang , Zhongzhi Zhang , Shuigeng Zhou , Jihong Guan

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

物理与社会 · 物理学 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures…

统计方法学 · 统计学 2014-01-21 Andreas Joseph , Guanrong Chen

We generalize the stochastic block model to the important case in which edges are annotated with weights drawn from an exponential family distribution. This generalization introduces several technical difficulties for model estimation,…

机器学习 · 统计学 2013-05-27 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

社会与信息网络 · 计算机科学 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

This work presents a model that allows the study of research specialties through the manifestations of the specialty's social and epistemological processes in a collection of journal papers. Collections of papers are modeled as coupled…

物理与社会 · 物理学 2007-05-23 Steven. A. Morris , Gary G. Yen

We propose a wide class of preferential attachment models of random graphs, generalizing previous approaches. Graphs described by these models obey the power-law degree distribution, with the exponent that can be controlled in the models.…

组合数学 · 数学 2015-05-20 Liudmila Ostroumova , Alexander Ryabchenko , Egor Samosvat

This article describes a complex network model whose weights are proportional to the difference between uniformly distributed ``fitness'' values assigned to the nodes. It is shown both analytically and experimentally that the strength…

统计力学 · 物理学 2009-11-11 Luciano da Fontoura Costa , Gonzalo Travieso

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

统计力学 · 物理学 2007-05-23 Dafang Zheng , Guler Ergun

Complex-valued neural networks (CVNNs) have been widely applied to various fields, especially signal processing and image recognition. However, few works focus on the generalization of CVNNs, albeit it is vital to ensure the performance of…

机器学习 · 计算机科学 2021-12-08 Haowen Chen , Fengxiang He , Shiye Lei , Dacheng Tao

We propose a possible relation between complex networks and gravity. Our guide in our proposal is the power-law distribution of the node degree in network theory and the information approach to gravity. The established bridge may allow us…

综合物理 · 物理学 2012-11-30 J. A. Nieto

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

社会与信息网络 · 计算机科学 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

物理与社会 · 物理学 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

机器学习 · 计算机科学 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

Cluster-Weighted Modeling (CWM) is a flexible mixture approach for modeling the joint probability of data coming from a heterogeneous population as a weighted sum of the products of marginal distributions and conditional distributions. In…

统计方法学 · 统计学 2012-12-20 Salvatore Ingrassia , Simona C. Minotti , Antonio Punzo , Giorgio Vittadini

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

物理与社会 · 物理学 2024-02-29 Lucas Böttcher , Mason A. Porter

Many important real-world networks manifest "small-world" properties such as scale-free degree distributions, small diameters, and clustering. The most common model of growth for these networks is "preferential attachment", where nodes…

定量方法 · 定量生物学 2009-11-13 Samarth Swarup , Les Gasser