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The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Many biological, technological, and social systems can be effectively described as networks of interacting subsystems. Typically, these networks are not isolated objects, but interact with their environment through both signals and…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Amirhossein Nazerian , Malbor Asllani , Melvyn Tyloo , Wai Lim Ku , Francesco Sorrentino

Human social interactions are typically recorded as time-specific dyadic interactions, and represented as evolving (temporal) networks, where links are activated/deactivated over time. However, individuals can interact in groups of more…

Physics and Society · Physics 2022-11-03 Alberto Ceria , Huijuan Wang

The generalization properties of an attractive network of non monotonic neurons which infers concepts from samples are studied. The macroscopic dynamics for the overlap between the state of the neurons with the concepts, well as the…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

Physics and Society · Physics 2010-07-16 Kimmo Kaski

Syntax connects words to each other in very specific ways. Two words are syntactically connected if they depend directly on each other. Syntactic connections usually happen within a sentence. Gathering all those connection across several…

Computation and Language · Computer Science 2025-03-11 Juan Soria-Postigo , Luis F Seoane

The number of observable degrees of freedom is typically limited in experiments. Here, we consider discrete Markov networks in which an observer has access to a few visible transitions and the waiting times between these transitions.…

Statistical Mechanics · Physics 2025-09-26 Alexander M. Maier , Udo Seifert , Jann van der Meer

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

Networks offer a powerful approach to modeling complex systems by representing the underlying set of pairwise interactions. Link prediction is the task that predicts links of a network that are not directly visible, with profound…

Physics and Society · Physics 2024-04-22 Yijun Ran , Xiao-Ke Xu , Tao Jia

Directed acyclic graphs are a fundamental class of networks that includes citation networks, food webs, and family trees, among others. Here we define a random graph model for directed acyclic graphs and give solutions for a number of the…

Physics and Society · Physics 2009-03-23 Brian Karrer , M. E. J. Newman

The human organism is an integrated network where complex physiologic systems, each with its own regulatory mechanisms, continuously interact, and where failure of one system can trigger a breakdown of the entire network. Identifying and…

Data Analysis, Statistics and Probability · Physics 2012-03-02 Amir Bashan , Ronny P. Bartsch , Jan W. Kantelhardt , Shlomo Havlin , Plamen Ch. Ivanov

Network theory provides tools which are particularly appropriate for assessing the complex interdependencies that characterise our modern connected world. This article presents an introduction to network theory, in a way that doesn't…

Physics and Society · Physics 2020-05-01 Vaiva Vasiliauskaite , Fernando E. Rosas

Networks such as organizational network of a global company play an important role in a variety of knowledge management and information diffusion tasks. The nodes in these networks correspond to individuals who are self-interested. The…

Computer Science and Game Theory · Computer Science 2014-10-10 Swapnil Dhamal , Y. Narahari

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

The topology of interactions in network dynamical systems fundamentally underlies their function. Accelerating technological progress creates massively available data about collective nonlinear dynamics in physical, biological, and…

Physics and Society · Physics 2018-03-28 Jose Casadiego , Mor Nitzan , Sarah Hallerberg , Marc Timme

This work examines the problem of topology inference over discrete-time nonlinear stochastic networked dynamical systems. The goal is to recover the underlying digraph linking the network agents, from observations of their state-evolution.…

Multiagent Systems · Computer Science 2019-06-24 Augusto Santos , Vincenzo Matta , Ali H. Sayed

Interdependent networks are characterized by two kinds of interactions: The usual connectivity links within each network and the dependency links coupling nodes of different networks. Due to the latter links such networks are known to…

Physics and Society · Physics 2015-06-18 Marcell Stippinger , János Kertész

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

In this article we investigate the topological changes undergone by trajectory networks as a consequence of progressive geographical infiltration. Trajectory networks, a type of knitted network, are obtained by establishing paths between…

Discrete Mathematics · Computer Science 2008-04-21 Luciano da Fontoura Costa
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