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This paper develops a method to conduct causal inference in the presence of unobserved confounders by leveraging networks with homophily, a frequently observed tendency to form edges with similar nodes. I introduce a concept of asymptotic…

计量经济学 · 经济学 2025-11-04 Vincent Starck

We study nonparametric methods for the setting where multiple distinct networks are observed on the same set of nodes. Such samples may arise in the form of replicated networks drawn from a common distribution, or in the form of…

统计方法学 · 统计学 2020-01-15 Swati Chandna , Pierre-Andre Maugis

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

基因组学 · 定量生物学 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

统计方法学 · 统计学 2021-05-28 Zixuan Han , Tao Li , Jinhong You

The purpose of this study is to investigate how homophily, memory constraints, and adversarial disruptions collectively shape the resilience and adaptability of complex networks. To achieve this, we develop a new framework that integrates…

社会与信息网络 · 计算机科学 2025-12-16 Saad Alqithami

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

物理与社会 · 物理学 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

We study a family of binary state, socially-inspired contagion models which incorporate imitation limited by an aversion to complete conformity. We uncover rich behavior in our models whether operating with either probabilistic or…

混沌动力学 · 物理学 2013-03-08 Peter Sheridan Dodds , Kameron Decker Harris , Christopher M. Danforth

Network autocorrelation models are widely used to evaluate the impact of social influence on some variable of interest. This is a large class of models that parsimoniously accounts for how one's neighbors influence one's own behaviors or…

社会与信息网络 · 计算机科学 2020-05-21 Daniel K. Sewell

Existing multiplex graph models often assume homophily, where connected nodes tend to belong to the same class or share similar attributes. Consequently, these models may struggle with graphs exhibiting heterophily, where connected nodes…

机器学习 · 计算机科学 2026-05-14 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

The principle that 'the brand effect is attractive' underlies preferential attachment. Here we show that the brand effect is just one dimension of attractiveness. Another dimension is competitiveness. We firstly develop a general framework…

物理与社会 · 物理学 2014-05-20 Jin-Li Guo

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

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

动力系统 · 数学 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

社会与信息网络 · 计算机科学 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

This paper considers the evolution of a network in a discrete time, stochastic setting in which agents learn about each other through repeated interactions and maintain/break links on the basis of what they learn from these interactions.…

物理与社会 · 物理学 2015-11-27 Mihaela van der Schaar , Simpson Zhang

In this article we presented a brief study of the main network models with growth and preferential attachment. Such models are interesting because they present several characteristics of real systems. We started with the classical model…

物理与社会 · 物理学 2020-07-06 Gabriel G. Piva , Fabiano L. Ribeiro , Angelica S. Mata

The principle of similarity, or homophily, is often used to explain patterns observed in complex networks such as transitivity and the abundance of triangles (3-cycles). However, many phenomena from division of labor to protein-protein…

物理与社会 · 物理学 2022-10-12 Szymon Talaga , Andrzej Nowak

The presence of unobserved node specific heterogeneity in Exponential Random Graph Models (ERGM) is a general concern, both with respect to model validity as well as estimation instability. We therefore extend the ERGM by including node…

统计计算 · 统计学 2021-12-24 Sevag Kevork , Göran Kauermann

This article reviews and evaluates models of network evolution based on the notion of structural diversity. We show that diversity is an underlying theme of three principles of network evolution: the preferential attachment model,…

社会与信息网络 · 计算机科学 2020-09-22 Jérôme Kunegis

Contact networks are heterogeneous. People with similar characteristics are more likely to interact, a phenomenon called assortative mixing or homophily. While age-assortativity is well-established and social contact matrices for…

物理与社会 · 物理学 2024-01-19 Claus Kadelka

Dynamic network data analysis requires joint modelling individual snapshots and time dynamics. This paper proposes a new two-way heterogeneity model towards this goal. The new model equips each node of the network with two heterogeneity…

统计方法学 · 统计学 2024-04-15 Binyan Jiang , Chenlei Leng , Ting Yan , Qiwei Yao , Xinyang Yu