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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

Sociotechnological and geospatial processes exhibit time varying structure that make insight discovery challenging. This paper proposes a new statistical model for such systems, modeled as dynamic networks, to address this challenge. It…

Social and Information Networks · Computer Science 2017-06-27 Jace Robinson , Derek Doran

We propose a nonparametric and time-varying directed information graph (TV-DIG) framework to estimate the evolving causal structure in time series networks, thereby addressing the limitations of traditional econometric models in capturing…

Econometrics · Economics 2023-12-29 Jalal Etesami , Ali Habibnia , Negar Kiyavash

This paper introduces a novel framework for modeling temporal events with complex longitudinal dependency that are generated by dependent sources. This framework takes advantage of multidimensional point processes for modeling time of…

Machine Learning · Statistics 2016-10-04 Seyed Abbas Hosseini , Ali Khodadadi , Soheil Arabzade , Hamid R. Rabiee

Human social interactions tend to vary in intensity over time, whether they are in person or online. Variable rates of interaction in structured populations can be described by networks with the time-varying activity of links and nodes. One…

Physics and Society · Physics 2023-04-17 Anzhi Sheng , Qi Su , Aming Li , Long Wang , Joshua B. Plotkin

Exponential-family random graph models (ERGMs) are probabilistic network models that are parametrized by sufficient statistics based on structural (i.e., graph-theoretic) properties. The ergm package for the R statistical computing system…

Social and Information Networks · Computer Science 2015-06-24 Omer Nebil Yaveroglu , Sean M. Fitzhugh , Maciej Kurant , Athina Markopoulou , Carter T. Butts , Natasa Przulj

This paper considers a time-varying vector error-correction model that allows for different time series behaviours (e.g., unit-root and locally stationary processes) to interact with each other to co-exist. From practical perspectives, this…

Econometrics · Economics 2023-05-30 Jiti Gao , Bin Peng , Yayi Yan

Generative models for network time series (also known as dynamic graphs) have tremendous potential in fields such as epidemiology, biology and economics, where complex graph-based dynamics are core objects of study. Designing flexible and…

Machine Learning · Statistics 2023-11-01 Jase Clarkson , Mihai Cucuringu , Andrew Elliott , Gesine Reinert

In the last few years, there has been a surge of interest in learning representations of entitiesand relations in knowledge graph (KG). However, the recent availability of temporal knowledgegraphs (TKGs) that contain time information for…

Computation and Language · Computer Science 2020-10-27 Chengjin Xu , Mojtaba Nayyeri , Fouad Alkhoury , Hamed Shariat Yazdi , Jens Lehmann

Accurate long series forecasting of traffic information is critical for the development of intelligent traffic systems. We may benefit from the rapid growth of neural network analysis technology to better understand the underlying…

Machine Learning · Computer Science 2022-10-06 Ruikang Luo , Yaofeng Song , Liping Huang , Yicheng Zhang , Rong Su

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

A rich literature has explored the modeling of homophily and other forms of nonuniform mixing associated with individual-level covariates within the exponential family random graph (ERGM) framework. Such differential mixing does not fully…

Social and Information Networks · Computer Science 2019-08-06 Francis Lee , Carter T. Butts

Residential electricity demand at granular scales is driven by what people do and for how long. Accurately forecasting this demand for applications like microgrid management and demand response therefore requires generative models that can…

Applications · Statistics 2025-09-24 Rohit Dube , Natarajan Gautam , Amarnath Banerjee , Harsha Nagarajan

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

A class of models that have been widely used are the exponential random graph (ERG) models, which form a comprehensive family of models that include independent and dyadic edge models, Markov random graphs, and many other graph…

Statistics Theory · Mathematics 2022-02-07 Denise Duarte , Rafael Honório Pereira Alves

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

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

A temporal network is a dynamic graph where every edge is assigned an integer time label that indicates at which discrete time step the edge is available. We consider the problem of hierarchically decomposing the network and introduce an…

Social and Information Networks · Computer Science 2024-11-14 Lutz Oettershagen , Athanasios L. Konstantinidis , Giuseppe F. Italiano

Many complex real-world systems exhibit inherently intertwined temporal and spatial characteristics. Spatio-temporal knowledge graphs (STKGs) have therefore emerged as a powerful representation paradigm, as they integrate entities,…

Social and Information Networks · Computer Science 2025-12-19 Philipp Plamper , Hanna Köpcke , Anika Groß

Temporal Knowledge Graph (TKG) is an efficient method for describing the dynamic development of facts along a timeline. Most research on TKG reasoning (TKGR) focuses on modelling the repetition of global facts and designing patterns of…

Artificial Intelligence · Computer Science 2025-07-03 Yuehang Si , Zefan Zeng , Jincai Huang , Qing Cheng
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