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We present a selective review of statistical modeling of dynamic networks. We focus on models with latent variables, specifically, the latent space models and the latent class models (or stochastic blockmodels), which investigate both the…

Methodology · Statistics 2018-05-31 Bomin Kim , Kevin Lee , Lingzhou Xue , Xiaoyue Niu

One of the main challenges in the study of time-varying networks is the interplay of memory effects with structural heterogeneity. In particular, different nodes and dyads can have very different statistical properties in terms of both link…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Claudio J. Tessone , Diego Garlaschelli

We introduce and study a general model of social network formation and evolution based on the concept of preferential link formation between similar nodes and increased similarity between connected nodes. The model is studied numerically…

Physics and Society · Physics 2007-05-23 George C. M. A. Ehrhardt , Matteo Marsili , Fernando Vega-Redondo

The development of Econophysics is studied from the perspective of scientific communication networks. Papers in Econophysics published from 1992 to 2003 are collected. Then a weighted and directed network of scientific communication,…

Soft Condensed Matter · Physics 2007-05-23 Ying Fan , Menghui Li , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu

Growing network models can potentially be a useful tool in the development of economic theory. This work introduces an "opportunistic attachment" mechanism where incoming nodes, in deciding where to join a network, consider features of the…

Physics and Society · Physics 2026-04-21 Carolina ES Mattsson

This paper reviews, classifies and compares recent models for social networks that have mainly been published within the physics-oriented complex networks literature. The models fall into two categories: those in which the addition of new…

Physics and Society · Physics 2008-12-24 Riitta Toivonen , Lauri Kovanen , Mikko Kivelä , Jukka-Pekka Onnela , Jari Saramäki , Kimmo Kaski

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

Understanding the formation of social ties requires disentangling the roles of individual traits and local network structure. We analyse signed social relationships among 3,395 students using an interpretable machine learning model -- the…

Physics and Society · Physics 2026-04-10 María Pereda

The global financial system can be represented as a large complex network in which banks, hedge funds and other financial institutions are interconnected to each other through visible and invisible financial linkages. Recently, a lot of…

Risk Management · Quantitative Finance 2018-04-11 Fabio Caccioli , Paolo Barucca , Teruyoshi Kobayashi

In this paper, we provide a review on both fundamentals of social networks and latent space modeling. The former discusses important topics related to network description, including vertex characteristics and network structure; whereas the…

Social and Information Networks · Computer Science 2020-12-07 Juan Sosa , Lina Buitrago

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

In this paper we consider the dyadic effect introduced in complex networks when nodes are distinguished by a binary characteristic. Under these circumstances two independent parameters, namely dyadicity and heterophilicity, are able to…

Combinatorics · Mathematics 2019-04-12 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

Networks have been studied mainly using statistical methods. Here I collect some dynamical systems tools which are useful to study both the dynamics on networks and their evolution. They include decomposition of differential dynamics,…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Vilela Mendes

Models of social learning feature either binary signals or abstract signal structures often deprived of micro-foundations. Both models are limited when analyzing interim results or performing empirical analysis. We present a method of…

Theoretical Economics · Economics 2020-02-26 Amir Ban , Moran Koren

This paper presents novel methods and theories for estimation and inference about parameters in econometric models using machine learning for nuisance parameters estimation when data are dyadic. We propose a dyadic cross fitting method to…

Econometrics · Economics 2022-12-20 Harold D Chiang , Yukun Ma , Joel Rodrigue , Yuya Sasaki

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

Structural balance in social network theory starts from signed networks with active relationships (friendly or hostile) to establish a hierarchy between four different types of triadic relationships. The lack of an active link also provides…

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li