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A model for network panel data is discussed, based on the assumption that the observed data are discrete observations of a continuous-time Markov process on the space of all directed graphs on a given node set, in which changes in tie…

Applications · Statistics 2020-03-13 Tom A. B. Snijders , Johan Koskinen , Michael Schweinberger

Investigating the frequency and distribution of small subgraphs with a few nodes/edges, i.e., motifs, is an effective analysis method for static networks. Motif-driven analysis is also useful for temporal networks where the spectrum of…

Social and Information Networks · Computer Science 2021-05-04 Penghang Liu , Valerio Guarrasi , A. Erdem Sarıyüce

In this work we consider \emph{temporal networks}, i.e. networks defined by a \emph{labeling} $\lambda$ assigning to each edge of an \emph{underlying graph} $G$ a set of \emph{discrete} time-labels. The labels of an edge, which are natural…

Discrete Mathematics · Computer Science 2018-07-02 George B. Mertzios , Othon Michail , Paul G. Spirakis

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

In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

Machine Learning · Computer Science 2020-11-25 Charilaos Mylonas , Eleni Chatzi

Locally adapted parameterizations of a model (such as locally weighted regression) are expressive but often suffer from high variance. We describe an approach for reducing the variance, based on the idea of estimating simultaneously a…

Machine Learning · Computer Science 2012-07-03 Doina Precup , Philip Bachman

Recovering the random graph model from an observed collection of networks is known to present significant challenges in the setting, where the networks do not share a common node set and have different sizes. More specifically, the goal is…

Methodology · Statistics 2026-03-17 Roland Boniface Sogan , Tabea Rebafka

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

A common goal in network modeling is to uncover the latent community structure present among nodes. For many real-world networks, the true connections consist of events arriving as streams, which are then aggregated to form edges, ignoring…

Social and Information Networks · Computer Science 2023-10-27 Guanhua Fang , Owen G. Ward , Tian Zheng

Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny time-step across the entire computational domain when using…

Numerical Analysis · Mathematics 2024-09-27 Marcus J. Grote , Simon R. J. Michel , Stefan A. Sauter

The problem of structure estimation in graphical models with latent variables is considered. We characterize conditions for tractable graph estimation and develop efficient methods with provable guarantees. We consider models where the…

Machine Learning · Statistics 2013-04-23 Animashree Anandkumar , Ragupathyraj Valluvan

Assessing homophily in large-scale networks is central to understanding structural regularities in graphs, and thus inform the choice of models (such as graph neural networks) adopted to learn from network data. Evaluation of smoothness…

Signal Processing · Electrical Eng. & Systems 2025-12-22 Hamed Ajorlou , Gonzalo Mateos , Luana Ruiz

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…

Methodology · Statistics 2024-04-15 Binyan Jiang , Chenlei Leng , Ting Yan , Qiwei Yao , Xinyang Yu

From social networks to Internet applications, a wide variety of electronic communication tools are producing streams of graph data; where the nodes represent users and the edges represent the contacts between them over time. This has led…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Christopher Cole , Jennifer Neville

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

Methodology · Statistics 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

Soft Random Geometric Graphs (SRGGs) have been widely applied to various models including those of wireless sensor, communication, social and neural networks. SRGGs are constructed by randomly placing nodes in some space and making pairwise…

Disordered Systems and Neural Networks · Physics 2018-12-05 Pete Pratt , Carl P. Dettmann , Woon Hau Chin

Pattern counting in graphs is fundamental to network science tasks, and there are many scalable methods for approximating counts of small patterns, often called motifs, in large graphs. However, modern graph datasets now contain richer…

Social and Information Networks · Computer Science 2018-10-03 Paul Liu , Austin Benson , Moses Charikar

Temporal networks are essential for modeling and understanding systems whose behavior varies in time, from social interactions to biological systems. Often, however, real-world data are prohibitively expensive to collect in a large scale or…

Social and Information Networks · Computer Science 2023-08-23 Antonio Longa , Giulia Cencetti , Sune Lehmann , Andrea Passerini , Bruno Lepri

We propose an autoregressive framework for modelling dynamic networks with dependent edges. It encompasses models that accommodate, for example, transitivity, degree heterogenenity, and other stylized features often observed in real network…

Statistics Theory · Mathematics 2026-03-25 Jinyuan Chang , Qin Fang , Eric D. Kolaczyk , Peter W. MacDonald , Qiwei Yao