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Temporal networks have gained significant prominence in the past decade for modelling dynamic interactions within complex systems. A key challenge in this domain is Temporal Link Prediction (TLP), which aims to forecast future connections…

Artificial Intelligence · Computer Science 2025-03-03 Jiafeng Xiong , Ahmad Zareie , Rizos Sakellariou

To maximize future rewards in this ever-changing world, animals must be able to discover the temporal structure of stimuli and then anticipate or act correctly at the right time. How the animals perceive, maintain, and use time intervals…

Neurons and Cognition · Quantitative Biology 2020-07-08 Zedong Bi , Changsong Zhou

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

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

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

Mobile phone data has enabled the timely and fine-grained study human mobility. Call Detail Records, generated at call events, allow building descriptions of mobility at different resolutions and with different spatial, temporal and social…

Physics and Society · Physics 2020-03-17 David Pastor-Escuredo , Enrique Frias-Martinez

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

Streamflow is a dynamical process that integrates water movement in space and time within basin boundaries. The authors characterize the dynamics associated with streamflow time series data from about seventy-one U.S. Geological Survey…

Physics and Society · Physics 2021-04-14 Ganesh R. Ghimire , Navid Jadidoleslam , Witold F. Krajewski , Anastasios A. Tsonis

Temporal networks, defined as sequences of time-aggregated adjacency matrices, sample latent graph dynamics and trace trajectories in graph space. By interpreting each adjacency matrix as a different time snapshot of a scalar field,…

Data Analysis, Statistics and Probability · Physics 2026-02-27 Lucas Lacasa

Temporal graphs model relationships among entities over time. Recent studies applied temporal graphs to abstract complex systems such as continuous communication among participants of social networks. Often, the amount of data is larger…

Data Structures and Algorithms · Computer Science 2022-04-27 Luiz F. A. Brito , Bruno A. N. Travençolo , Marcelo K. Albertini

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

In this paper, we focus on temporal property graphs, that is, property graphs whose labeled nodes and edges as well as the values of the properties associated with them may change with time. For instance, consider a bibliographic network,…

Social and Information Networks · Computer Science 2024-01-26 Evangelia Tsoukanara , Georgia Koloniari , Evaggelia Pitoura

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

Flows over time generalize classical network flows by introducing a notion of time. Each arc is equipped with a transit time that specifies how long flow takes to traverse it, while flow rates may vary over time within the given edge…

Discrete Mathematics · Computer Science 2012-11-13 Jan-Philipp W. Kappmeier , Jannik Matuschke , Britta Peis

This work formalizes the associational task of predicting node attribute evolution in temporal graphs from the perspective of learning equivariant representations. We show that node representations in temporal graphs can be cast into two…

Machine Learning · Computer Science 2023-03-29 Jianfei Gao , Bruno Ribeiro

Networks represent how the entities of a system are connected and can be partitioned differently, prompting ways to compare partitions. Common approaches for comparing network partitions include information-theoretic measures based on…

Social and Information Networks · Computer Science 2024-01-18 Christopher Blöcker , Ingo Scholtes

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

We discuss how spreading processes on temporal networks are impacted by the shape of their inter-event time distributions. Through simple mathematical arguments and toy examples, we find that the key factor is the ordering in which events…

Physics and Society · Physics 2015-06-15 Renaud Lambiotte , Lionel Tabourier , Jean-Charles Delvenne

The paper considers the consensus problem in large networks represented by time-varying directed graphs. A practical way of dealing with large-scale networks is to reduce their dimension by collapsing the states of nodes belonging to…

Systems and Control · Computer Science 2016-08-31 Samuel Martin , Irinel-Constantin Morarescu , Dragan Nesic

Many real-world graphs or networks are temporal, e.g., in a social network persons only interact at specific points in time. This information directs dissemination processes on the network, such as the spread of rumors, fake news, or…

Social and Information Networks · Computer Science 2021-08-23 Lutz Oettershagen , Nils M. Kriege , Christopher Morris , Petra Mutzel

There has been much research on network flows over time due to their important role in real world applications. This has led to many results, but the more challenging continuous time model still lacks some of the key concepts and techniques…

Systems and Control · Computer Science 2014-01-24 Ebrahim Nasrabadi , Ronald Koch
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