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We study an extension of Duncan Watts' 2002 model of information cascades in social networks where edge weights are taken to be random, an innovation motivated by recent applications of cascade analysis to systemic risk in financial…

物理与社会 · 物理学 2012-11-27 T. R. Hurd , James P. Gleeson

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

社会与信息网络 · 计算机科学 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

In this paper, we show how informativity and identifiability for networks of dynamical systems can be investigated using Gr\"obner bases. We provide a sufficient condition for informativity in terms of positive definiteness of the spectrum…

系统与控制 · 电气工程与系统科学 2026-02-27 Anders Hansson , João Victor Galvão da Mata , Martin S. Andersen

In graph theory and network analysis, node degree is defined as a simple but powerful centrality to measure the local influence of node in a complex network. Preferential attachment based on node degree has been widely adopted for modeling…

社会与信息网络 · 计算机科学 2021-03-02 Jiaojiao Jiang , Sanjay Jha

As the amount of linked data published on the web grows, attempts are being made to describe and measure it. However even basic statistics about a graph, such as its size, are difficult to express in a uniform and predictable way. In order…

数据库 · 计算机科学 2014-10-21 William Waites

We derive a general expression for the probability of global spreading starting from a single infected seed for contagion processes acting on generalized, correlated random networks. We employ a simple probabilistic argument that encodes…

无序系统与神经网络 · 物理学 2015-07-01 Kameron Decker Harris , Joshua L. Payne , Peter Sheridan Dodds

Network structures are extremely important to the study of political science. Much of the data in its subfields are naturally represented as networks. This includes trade, diplomatic and conflict relationships. The social structure of…

统计方法学 · 统计学 2011-05-05 Drew Conway

Current methods for estimating the required neural-network size for a given problem class have focused on methods that can be computationally intensive, such as neural-architecture search and pruning. In contrast, methods that add capacity…

机器学习 · 计算机科学 2023-01-18 Noah Ford , John Winder , Josh McClellan

In the paper we show that the bibliographic data can be transformed into a collection of compatible networks. Using network multiplication different interesting derived networks can be obtained. In defining them an appropriate normalization…

社会与信息网络 · 计算机科学 2014-10-02 Vladimir Batagelj , Monika Cerinšek

Networks analysis has been commonly used to study the interactions between units of complex systems. One problem of particular interest is learning the network's underlying connection pattern given a single and noisy instantiation. While…

机器学习 · 统计学 2021-06-08 Tianxi Li , Can M. Le

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

物理与社会 · 物理学 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

We employ the mathematical programming approach in conjunction with the graph theory to study the structure of correspondent banking networks. Optimizing the network requires decisions to be made to onboard, terminate or restrict the bank…

机器学习 · 计算机科学 2019-12-09 Nima Safaei , Ivan A. Sergienko

Directed acyclic graphs provide a fundamental tool for representing directed dependence structures in multivariate network data, and are widely used to model financial and economic networks. However, accurate and interpretable estimation…

统计方法学 · 统计学 2026-05-26 Huihang Liu , Wenhui Li , Xinyu Zhang

A majority of real life networks are weighted and sparse. The present article aims at characterization of weighted networks based on sparsity, as a measure of inherent diversity, of different network parameters. It utilizes sparsity index…

离散数学 · 计算机科学 2021-01-12 Swati Goswami , Asit K. Das , Subhas C. Nandy

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

统计计算 · 统计学 2017-01-17 Jack Davis , Steven K. Thompson

Existing studies on the degree correlation of evolving networks typically rely on differential equations and statistical analysis, resulting in only approximate solutions due to inherent randomness. To address this limitation, we propose an…

统计计算 · 统计学 2024-06-13 Yue Xiao , Xiaojun Zhang

Two different types of directed networks are investigated, transcriptional regulation networks and neural networks. The directed network structure are studied and also shown to reflect the different processes taking place on the networks.…

无序系统与神经网络 · 物理学 2016-08-16 Andreas Grönlund

The world's collective knowledge is evolving through research and new scientific discoveries. It is becoming increasingly difficult to objectively rank the impact research institutes have on global advancements. However, since the funding,…

机器学习 · 计算机科学 2020-12-25 Vlad Sandulescu , Mihai Chiru

Recently, so-called treebased phylogenetic networks have gained considerable interest in the literature, where a treebased network is a network that can be constructed from a phylogenetic tree, called the base tree, by adding additional…

种群与进化 · 定量生物学 2019-11-28 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Many systems, ranging from biological and engineering systems to social systems, can be modeled as directed networks, with links representing directed interaction between two nodes. To assess the importance of a node in a directed network,…

物理与社会 · 物理学 2009-11-06 Naoki Masuda , Yoji Kawamura , Hiroshi Kori