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Random graphs are useful tools to study social interactions. In particular, the use of weighted random graphs allows to handle a high level of information concerning which agents interact and in which degree the interactions take place.…

Physics and Society · Physics 2009-11-13 Jose J. Ramasco

Conventionally, pairwise relationships between nodes are considered to be the fundamental building blocks of complex networks. However, over the last decade the overabundance of certain sub-network patterns, so called motifs, has attracted…

Physics and Society · Physics 2015-01-28 Marco Winkler , Joerg Reichardt

We present a probabilistic generative model and efficient algorithm to model reciprocity in directed networks. Unlike other methods that address this problem such as exponential random graphs, it assigns latent variables as community…

Social and Information Networks · Computer Science 2022-09-07 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Graph Neural Networks (GNNs) have shown promising results in various tasks, among which link prediction is an important one. GNN models usually follow a node-centric message passing procedure that aggregates the neighborhood information to…

Machine Learning · Computer Science 2022-01-17 Baole Ai , Zhou Qin , Wenting Shen , Yong Li

Previous network models have imagined that connections change to promote structural balance, or to reflect hierarchies. We propose a model where agents adjust their connections to appear credible to an external observer. In particular, we…

Social and Information Networks · Computer Science 2019-06-05 Joel Nishimura , Oscar Goodloe

As a new approach to train generative models, \emph{generative adversarial networks} (GANs) have achieved considerable success in image generation. This framework has also recently been applied to data with graph structures. We propose…

Machine Learning · Computer Science 2021-02-26 Shuangfei Fan , Bert Huang

Network visualization has established as a key complement to network analysis since the large variety of existing network layouts are able to graphically highlight different properties of networks. However, signed networks, i.e., networks…

Social and Information Networks · Computer Science 2019-12-03 Edoardo Galimberti , Chiara Madeddu , Francesco Bonchi , Giancarlo Ruffo

Synthetic power grids enable secure, real-world energy system simulations and are crucial for algorithm testing, resilience assessment, and policy formulation. We propose a novel method for the generation of synthetic transmission power…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Francesco Giacomarra , Gianmarco Bet , Alessandro Zocca

We propose a signed network formation game, in which pairs of individuals strategically change the signs of the edges in a complete network. These individuals are members of a social network who strategically reduce cognitive dissonances by…

Social and Information Networks · Computer Science 2019-10-01 Pedro Cisneros-Velarde , Francesco Bullo

The proliferation of social media such as real time microblogging and online reputation systems facilitate real time sensing of social patterns and behavior. In the last decade, sensing and decision making in social networks have witnessed…

Social and Information Networks · Computer Science 2014-05-07 Vikram Krishnamurthy , Omid Namvar Gharehshiran , Maziyar Hamdi

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

Machine Learning · Computer Science 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

The objective of this paper is to identify and analyze the response actions of a set of players embedded in sub-networks in the context of interaction and learning. We characterize strategic network formation as a static game of…

Theoretical Economics · Economics 2022-10-28 Alex Centeno

In this paper, we give an analytic solution for graphs with n nodes and E edges for which the probability of obtaining a given graph G is specified in terms of the degree sequence of G. We describe how this model naturally appears in the…

Probability · Mathematics 2008-10-20 M. Draief , A. Ganesh , L. Massoulie

Human interactions in the online world comprise a combination of positive and negative exchanges. These diverse interactions can be captured using signed network representations, where edges take positive or negative weights to indicate the…

Physics and Society · Physics 2025-09-09 Elena Candellone , Shazia'Ayn Babul , Özgür Togay , Alexandre Bovet , Javier Garcia-Bernardo

Detecting the dimensionality of graphs is a central topic in machine learning. While the problem has been tackled empirically as well as theoretically, existing methods have several drawbacks. On the one hand, empirical tools are…

Social and Information Networks · Computer Science 2024-08-16 Tobias Friedrich , Andreas Göbel , Maximilian Katzmann , Leon Schiller

Signed Graph Neural Networks (SGNNs) have been shown to be effective in analyzing complex patterns in real-world situations where positive and negative links coexist. However, SGNN models suffer from poor explainability, which limit their…

Machine Learning · Computer Science 2024-12-13 Lu Li , Jiale Liu , Xingyu Ji , Maojun Wang , Zeyu Zhang

Signed graphs have been introduced to enrich graph structures expressing relationships between persons or general social entities, introducing edge signs to reflect the nature of the relationship, e.g., friendship or enmity. Independently,…

Computational Complexity · Computer Science 2023-12-20 Zhidan Feng , Henning Fernau , Kevin Mann , Xingqin Qi

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

Random graph (RG) models play a central role in the complex networks analysis. They help to understand, control, and predict phenomena occurring, for instance, in social networks, biological networks, the Internet, etc. Despite a large…

Social and Information Networks · Computer Science 2024-03-22 Mikhail Drobyshevskiy , Denis Turdakov

In signed networks, some existing community detection methods treat negative connections as intercommunity links and positive ones as intracommunity links. However, it is important to recognize that negative links on real-world networks…

Physics and Society · Physics 2023-08-17 Peng Zhang , Xianyu Xu , Leyang Xue
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