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We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We investigate the problem of multiplex graph embedding, that is, graphs in which nodes interact through multiple types of relations (dimensions). In recent years, several methods have been developed to address this problem. However, the…

Machine Learning · Computer Science 2023-12-29 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Social networks as a representation of relational data, often possess multiple types of dependency structures at the same time. There could be clustering (beyond homophily) at a macro level as well as transitivity (a friend's friend is more…

Methodology · Statistics 2017-04-04 Ming Cao

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

Full probability models are critical for the statistical modeling of complex networks, and yet there are few general, flexible and widely applicable generative methods. We propose a new family of probability models motivated by the idea of…

Methodology · Statistics 2018-04-13 Ian E. Fellows

Exploring the dynamic co-evolution of multiplex graphs and nodal attributes is a compelling question in criminal and terrorism networks. This article is motivated by the study of dynamically evolving interactions among prominent terrorist…

Applications · Statistics 2026-03-24 Jose Rodriguez-Acosta , Sharmistha Guha , Lekha Patel , Kurtis Shuler

Representation learning on temporal interaction graphs (TIG) is to model complex networks with the dynamic evolution of interactions arising in a broad spectrum of problems. Existing dynamic embedding methods on TIG discretely update node…

Social and Information Networks · Computer Science 2021-10-13 Xu Yan , Xiaoliang Fan , Peizhen Yang , Zonghan Wu , Shirui Pan , Longbiao Chen , Yu Zang , Cheng Wang

Demystifying the interactions among multiple agents from their past trajectories is fundamental to precise and interpretable trajectory prediction. However, previous works only consider pair-wise interactions with limited relational…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Chenxin Xu , Maosen Li , Zhenyang Ni , Ya Zhang , Siheng Chen

Real-world networks often exhibit strong transitivity with nontrivial local clustering spectra and degree correlations. Such features are not easily modeled in tractable network models, creating an obstacle to the theoretical understanding…

Physics and Society · Physics 2026-05-26 Lorenzo Cirigliano , Gareth J. Baxter , Gábor Timár

Many networks in real-life typically contain parts in which some nodes are more highly connected to each other than the other nodes of the network. The collection of such nodes are usually called clusters, communities, cohesive groups or…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-20 Xiahong Lin , Lin Gao , Kefei Chen , David K. Y. Chiu

Contemporary social media networks can be viewed as a break to the early two-step flow model in which influential individuals act as intermediaries between the media and the public for information diffusion. Today's social media platforms…

Social and Information Networks · Computer Science 2018-05-01 Isa Inuwa-Dutse

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

Reachability in hypergraphs is essential for modeling complex groupwise interactions in real-world applications such as co-authorship, social network, and biological analysis, where relationships go beyond pairwise interactions. In this…

Databases · Computer Science 2025-12-30 Peiting Xie , Xiangjun Zai , Yanping Wu , Xiaoyang Wang , Wenjie Zhang , Lu Qin

Pedestrian trajectory prediction is a prominent research track that has advanced towards modelling of crowd social and contextual interactions, with extensive usage of Long Short-Term Memory (LSTM) for temporal representation of walking…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 Sirin Haddad , Siew Kei Lam

We present a new model of the evolutionary dynamics and the growth of on-line social networks. The model emulates people's strategies for acquiring information in social networks, emphasising the local subjective view of an individual and…

Social and Information Networks · Computer Science 2013-10-01 Emanuele Massaro , Henrik Olsson , Andrea Guazzini , Franco Bagnoli

Multilayer networks represent multiple types of connections between the same set of nodes. Clearly, a multilayer description of a system adds value only if the multiplex does not merely consist of independent layers, i.e. if the inter-layer…

Physics and Society · Physics 2023-05-23 Nedim Bayrakdar , Valerio Gemmetto , Diego Garlaschelli

Many complex systems involve direct interactions among more than two entities and can be represented by hypergraphs, in which hyperedges encode higher-order interactions among an arbitrary number of nodes. To analyze structures and dynamics…

Physics and Society · Physics 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo , Naoki Masuda

Empirical contact networks or interaction networks demonstrate peculiar characteristics stemming from the fundamental social, psychological, physical mechanisms governing human interactions. Although these mechanisms are complex, we test…

Physics and Society · Physics 2025-03-20 Razieh Masoumi , Juliette Gambaudo , Mathieu Génois

Real-world complex networks are usually being modeled as graphs. The concept of graphs assumes that the relations within the network are binary (for instance, between pairs of nodes); however, this is not always true for many real-life…

Social and Information Networks · Computer Science 2020-05-06 Alessia Antelmi , Gennaro Cordasco , Bogumił Kamiński , Paweł Prałat , Vittorio Scarano , Carmine Spagnuolo , Przemyslaw Szufel
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