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We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Temporal exponential random graph models (TERGM) are powerful statistical models that can be used to infer the temporal pattern of edge formation and elimination in complex networks (e.g., social networks). TERGMs can also be used in a…

Social and Information Networks · Computer Science 2024-09-17 Yifan Huang , Clayton Barham , Eric Page , PK Douglas

We consider random walks on dynamical networks where edges appear and disappear during finite time intervals. The process is grounded on three independent stochastic processes determining the walker's waiting-time, the up-time and down-time…

Physics and Society · Physics 2018-11-28 Julien Petit , Martin Gueuning , Timoteo Carletti , Ben Lauwens , Renaud Lambiotte

We propose a family of statistical models for social network evolution over time, which represents an extension of Exponential Random Graph Models (ERGMs). Many of the methods for ERGMs are readily adapted for these models, including…

Machine Learning · Statistics 2009-08-11 Steve Hanneke , Wenjie Fu , Eric Xing

In this work, we propose a scheme that provides an analytical estimate for the time-dependent degree distribution of some networks. This scheme maps the problem into a random walk in degree space, and then we choose the paths that are…

Physics and Society · Physics 2017-01-25 H. L. Casa Grande , M. Cotacallapa , M. O. Hase

Time-varying group interactions constitute the building blocks of many complex systems. The framework of temporal hypergraphs makes it possible to represent them by taking into account the higher-order and temporal nature of the…

Physics and Society · Physics 2025-11-11 Marco Mancastroppa , Giulia Cencetti , Alain Barrat

Document networks are found in various collections of real-world data, such as citation networks, hyperlinked web pages, and online social networks. A large number of generative models have been proposed because they offer intuitive and…

Physics and Society · Physics 2020-01-22 Takafumi J. Suzuki

Studies using massive, passively data collected from communication technologies have revealed many ubiquitous aspects of social networks, helping us understand and model social media, information diffusion, and organizational dynamics. More…

Physics and Society · Physics 2015-02-04 Jameson L. Toole , Carlos Herrera-Yague , Christian M. Schneider , Marta C. Gonzalez

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

Physics and Society · Physics 2013-06-06 Vassilis Kostakos

We consider random walks in which the walk originates in one set of nodes and then continues until it reaches one or more nodes in a target set. The time required for the walk to reach the target set is of interest in understanding the…

Systems and Control · Computer Science 2019-01-11 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

Machine Learning · Computer Science 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

We extend a recent model of temporal random hyperbolic graphs by allowing connections and disconnections to persist across network snapshots with different probabilities, $\omega_1$ and $\omega_2$. This extension, while conceptually simple,…

Physics and Society · Physics 2024-08-20 Sofoclis Zambirinis , Fragkiskos Papadopoulos

Random walks are used for modeling various dynamics in, for example, physical, biological, and social contexts. Furthermore, their characteristics provide us with useful information on the phase transition and critical phenomena of even…

Statistical Mechanics · Physics 2007-05-23 Naoki Masuda , Norio Konno

There has been an increasing interest in modeling continuous-time dynamics of temporal graph data. Previous methods encode time-evolving relational information into a low-dimensional representation by specifying discrete layers of neural…

Machine Learning · Computer Science 2022-06-01 Jin Guo , Zhen Han , Zhou Su , Jiliang Li , Volker Tresp , Yuyi Wang

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

Digital contact tracing plays a crucial role in alleviating an outbreak, and designing multilevel digital contact tracing for a country is an open problem due to the analysis of large volumes of temporal contact data. We develop a…

Data Structures and Algorithms · Computer Science 2024-05-21 Gautam Mahapatra , Priodyuti Pradhan , Abhinandan Khan , Sanjit Kumar Setua , Rajat Kumar Pal , Ayush Rathor

In domains such as healthcare, finance, and e-commerce, the temporal dynamics of relational data emerge from complex interactions-such as those between patients and providers, or users and products across diverse categories. To be broadly…

Machine Learning · Computer Science 2025-11-07 Divyansha Lachi , Mahmoud Mohammadi , Joe Meyer , Vinam Arora , Tom Palczewski , Eva L. Dyer

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

Physics and Society · Physics 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat
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