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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…

Computation · Statistics 2021-12-24 Sevag Kevork , Göran Kauermann

Networks are often characterized by node heterogeneity for which nodes exhibit different degrees of interaction and link homophily for which nodes sharing common features tend to associate with each other. In this paper, we propose a new…

Methodology · Statistics 2018-03-13 Ting Yan , Binyan Jiang , Stephen E. Fienberg , Chenlei Leng

What makes a network complex, in addition to its size, is the interconnected interactions between elements, disruption of which inevitably results in dysfunction. Likewise, the brain networks' complexity arises from interactions beyond pair…

Neurons and Cognition · Quantitative Biology 2022-04-19 Z. Moradimanesh , R. Khosrowabadi , M. Eshaghi Gordji , G. R. Jafari

Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex…

Adaptation and Self-Organizing Systems · Physics 2023-03-14 Hanlin Sun , Filippo Radicchi , Jürgen Kurths , Ginestra Bianconi

We study a ridge estimator for the high-dimensional two-way fixed effect regression model with a sparse bipartite network. We develop concentration inequalities showing that when the ridge parameters increase as the log of the network size,…

Econometrics · Economics 2026-01-08 Junnan He , Jean-Marc Robin

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

A popular method for estimating a causal treatment effect with observational data is the difference-in-differences (DiD) model. In this work, we consider an extension of the classical DiD setting to the hierarchical context in which data…

Methodology · Statistics 2019-10-17 James Normington , Eric F. Lock , Thomas A. Murray , Caroline S. Carlin

Estimating causal effects under networked interference from observational data is a crucial yet challenging problem. Most existing methods mainly rely on the networked unconfoundedness assumption, which guarantees the identification of…

Machine Learning · Computer Science 2026-01-28 Weilin Chen , Ruichu Cai , Jie Qiao , Yuguang Yan , José Miguel Hernández-Lobato

We address the problem of estimating heterogeneous treatment effects in panel data, adopting the popular Difference-in-Differences (DiD) framework under the conditional parallel trends assumption. We propose a novel doubly robust…

Machine Learning · Statistics 2025-04-29 Hui Lan , Haoge Chang , Eleanor Dillon , Vasilis Syrgkanis

Standard linear modeling approaches make potentially simplistic assumptions regarding the structure of categorical effects that may obfuscate more complex relationships governing data. For example, recent work focused on the two-way…

Methodology · Statistics 2019-03-05 Thomas A. Metzger , Christopher T. Franck

Complex networks grow subject to structural constraints which affect their measurable properties. Assessing the effect that such constraints impose on their observables is thus a crucial aspect to be taken into account in their analysis. To…

Physics and Society · Physics 2014-07-31 Oleguer Sagarra , Francesc Font-Clos , Conrad J. Pérez-Vicente , Albert Díaz-Guilera

Link prediction is central to unraveling social network evolution and node relationships, as well as understanding the characteristic mechanisms of complex networks. Currently, research on link prediction for complex dynamic networks…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Gaoxin Zhang , Ruixing Ren , Junhui Zhao , Xiaoke Sun

We present a new network model accounting for multidimensional assortativity. Each node is characterized by a number of features and the probability of a link between two nodes depends on common features. We do not fix a priori the total…

Social and Information Networks · Computer Science 2016-01-19 Irene Crimaldi , Michela Del Vicario , Greg Morrison , Walter Quattrociocchi , Massimo Riccaboni

The self-consistent probabilistic approach has proven itself powerful in studying the percolation behavior of interdependent or multiplex networks without tracking the percolation process through each cascading step. In order to understand…

Physics and Society · Physics 2016-05-04 Dunbiao Niu , Xin Yuan , Minhui Du , H. Eugene Stanley , Yanqing Hu

Despite the earlier claim of "Death of Distance", recent studies revealed that geographical proximity still greatly influences link formation in online social networks. However, it is unclear how physical distances are intertwined with…

General Economics · Economics 2024-05-01 Nils Breitmar , Matthew C. Harding , Hanqiao Zhang

Recently there has been an increasing interest in studying dynamical processes on networks exhibiting higher-order structures, such as simplicial complexes, where the dynamics acts above and beyond dyadic interactions. Using simulations or…

Physics and Society · Physics 2023-09-25 István Z. Kiss , Iacopo Iacopini , Péter L. Simon , Nicos Georgiou

We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized…

Physics and Society · Physics 2025-07-09 Francisco J. Perez-Reche , Sergei N. Taraskin

One of the defining features of complex networks is the connectivity properties that we observe emerging from local interactions. Recently, hypergraphs have emerged as a versatile tool to model networks with non-dyadic, higher-order…

Physics and Society · Physics 2025-09-30 Berné L. Nortier , Simon Dobson , Federico Battiston

Although stochastic resonance phenomena are ubiquitous across various complex systems, the influence mechanisms of higher-order interactions remain elusive. Here, we address this gap by investigating stochastic resonance in coupled phase…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

This paper introduces a methodology to conduct robust inference in bipartite networks under local misspecification. We focus on a class of dyadic network models with misspecified conditional moment restrictions. The framework of…

Econometrics · Economics 2024-03-21 Luis E. Candelaria , Yichong Zhang
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