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Many natural and artificial networks evolve in time. Nodes and connections appear and disappear at various timescales, and their dynamics has profound consequences for any processes in which they are involved. The first empirical analysis…

Statistical Mechanics · Physics 2012-05-21 Michele Starnini , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in…

Physics and Society · Physics 2017-11-20 Ingo Scholtes , Nicolas Wider , Antonios Garas

Recently, graph (network) data is an emerging research area in artificial intelligence, machine learning and statistics. In this work, we are interested in whether node's labels (people's responses) are affected by their neighbor's features…

Methodology · Statistics 2022-10-12 Haixiang Zhang , Yingjun Deng , Alan J. X. Guo , Qing-Hu Hou , Ou Wu

Longitudinal binary relational data can be better understood by implementing a latent space model for dynamic networks. This approach can be broadly extended to many types of weighted edges by using a link function to model the mean of the…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

Temporal networks representing a stream of timestamped edges are seemingly ubiquitous in the real-world. However, the massive size and continuous nature of these networks make them fundamentally challenging to analyze and leverage for…

Data Structures and Algorithms · Computer Science 2021-01-08 Nesreen K. Ahmed , Nick Duffield , Ryan A. Rossi

Traffic prediction has drawn increasing attention in AI research field due to the increasing availability of large-scale traffic data and its importance in the real world. For example, an accurate taxi demand prediction can assist taxi…

Machine Learning · Computer Science 2018-11-06 Huaxiu Yao , Xianfeng Tang , Hua Wei , Guanjie Zheng , Zhenhui Li

We propose generalizations of a number of standard network models, including the classic random graph, the configuration model, and the stochastic block model, to the case of time-varying networks. We assume that the presence and absence of…

Social and Information Networks · Computer Science 2018-05-02 Xiao Zhang , Cristopher Moore , M. E. J. Newman

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

In the pursuit of autonomous learning systems, the foundational assumption of stationarity, the premise that data distributions and model behaviors remain constant, is fundamentally untenable. Historically, the research community has…

Machine Learning · Computer Science 2026-05-05 Xiaoyu Yang , En Yu , Jie Lu

Temporal networks allow representing connections between objects while incorporating the temporal dimension. While static network models can capture unchanging topological regularities, they often fail to model the effects associated with…

Machine Learning · Computer Science 2025-07-11 Mathilde Perez , Raphaël Romero , Bo Kang , Tijl De Bie , Jefrey Lijffijt , Charlotte Laclau

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

Methodology · Statistics 2023-12-04 Anass B. El-Yaagoubi , Hernando Ombao

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Dynamic networks have intrinsic structural, computational, and multidisciplinary advantages. Link prediction estimates the next relationship in dynamic networks. However, in the current link prediction approaches, only bipartite or…

Social and Information Networks · Computer Science 2020-06-09 Mohamoud Ali , Yugyung Lee , Praveen Rao

The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä