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Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

People participate and activate in online social networks and thus tremendous amount of network data is generated; data regarding their interactions, interests and activities. Some people search for specific questions through online social…

Social and Information Networks · Computer Science 2019-01-23 Mohsen Shahriari , Ralf Klamma , Matthias Jarke

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

Game-theoretic solution concepts, such as the Nash equilibrium, have been key to finding stable joint actions in multi-player games. However, it has been shown that the dynamics of agents' interactions, even in simple two-player games with…

Multiagent Systems · Computer Science 2025-05-20 Natalia Koliou , George Vouros

The task of predicting future relationships in a social network, known as link prediction, has been studied extensively in the literature. Many link prediction methods have been proposed, ranging from common neighbors to probabilistic…

Social and Information Networks · Computer Science 2016-07-26 Ruthwik R. Junuthula , Kevin S. Xu , Vijay K. Devabhaktuni

Though action recognition in videos has achieved great success recently, it remains a challenging task due to the massive computational cost. Designing lightweight networks is a possible solution, but it may degrade the recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Wenhao Wu , Dongliang He , Xiao Tan , Shifeng Chen , Yi Yang , Shilei Wen

Given a sequence of sets, where each set contains an arbitrary number of elements, the problem of temporal sets prediction aims to predict the elements in the subsequent set. In practice, temporal sets prediction is much more complex than…

Machine Learning · Computer Science 2020-07-09 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Hui Xiong , Weifeng Lv

We propose a novel method of detecting directed interactions of a general dynamic network from measured data. By repeating random state variable resetting of a target node and appropriately averaging over the measurable data, the pairwise…

Data Analysis, Statistics and Probability · Physics 2018-11-14 Rundong Shi , Changbao Deng , Shihong Wang

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

A social interaction (so-called higher-order event/interaction) can be regarded as the activation of the hyperlink among the corresponding individuals. Social interactions can be, thus, represented as higher-order temporal networks, that…

Physics and Society · Physics 2024-12-17 Mathieu Jung-Muller , Alberto Ceria , Huijuan Wang

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

Machine Learning · Computer Science 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

Adaptation and Self-Organizing Systems · Physics 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

Networks representation aims to encode vertices into a low-dimensional space, while preserving the original network structures and properties. Most existing methods focus on static network structure without considering temporal dynamics.…

Social and Information Networks · Computer Science 2024-10-29 Ruixuan Han , Hongxiang Li , Bin Xie

Dynamic link prediction is an important problem considered in many recent works that propose approaches for learning temporal edge patterns. To assess their efficacy, models are evaluated on continuous-time and discrete-time temporal graph…

Machine Learning · Computer Science 2026-02-06 Moritz Lampert , Christopher Blöcker , Ingo Scholtes

Network classification has a variety of applications, such as detecting communities within networks and finding similarities between those representing different aspects of the real world. However, most existing work in this area focus on…

Social and Information Networks · Computer Science 2018-08-08 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam D. Turner

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Dynamic networks reflect temporal changes occurring to the graph's structure and are used to model a wide variety of problems in many application fields. We investigate the design space of dynamic graph visualization along two major…

Human-Computer Interaction · Computer Science 2022-09-07 Velitchko Filipov , Alessio Arleo , Markus Bögl , Silvia Miksch

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

We propose a dynamical system that captures changes to the network centrality of nodes as external interest in those nodes vary. We derive this system by adding time-dependent teleportation to the PageRank score. The result is not a single…

Social and Information Networks · Computer Science 2012-11-20 David F. Gleich , Ryan A. Rossi
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