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As communication networks are growing at a fast pace, the need for more scalable approaches to operate such networks is pressing. Decentralization and locality are key concepts to provide scalability. Existing models for which local…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-04 Klaus-Tycho Foerster , Juho Hirvonen , Stefan Schmid , Jukka Suomela

Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

Physics and Society · Physics 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

The task of graph node classification is often approached by utilizing a local Graph Neural Network (GNN), that learns only local information from the node input features and their adjacency. In this paper, we propose to improve the…

Machine Learning · Computer Science 2024-06-18 Moshe Eliasof , Eran Treister

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

Optimization and Control · Mathematics 2019-02-08 Panos Parpas , Corey Muir

In the classical control of network systems, the control actions on a node are determined as a function of the states of all nodes in the network. Motivated by applications where the global state cannot be reconstructed in real time due to…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

Deep networks realize complex mappings that are often understood by their locally linear behavior at or around points of interest. For example, we use the derivative of the mapping with respect to its inputs for sensitivity analysis, or to…

Machine Learning · Computer Science 2019-07-09 Guang-He Lee , David Alvarez-Melis , Tommi S. Jaakkola

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

We analyze a distributed information network in which each node has access to the information contained in a limited set of nodes (its neighborhood) at a given time. A collective computation is carried out in which each node calculates a…

Social and Information Networks · Computer Science 2014-04-18 Antonio Córdoba , Daniel Aguilar-Hidalgo , M. Carmen Lemos

Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

Social and Information Networks · Computer Science 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He

A novel field theoretical approach towards modelling dynamic networking in complex systems is presented. An equilibrium networking formalism which utilises Gaussian fields is adapted to model the dynamics of particles that can bind and…

Soft Condensed Matter · Physics 2025-05-27 Nadine du Toit , Kristian K. Müller-Nedebock

Methods that learn representations of nodes in a graph play a critical role in network analysis since they enable many downstream learning tasks. We propose Graph2Gauss - an approach that can efficiently learn versatile node embeddings on…

Machine Learning · Statistics 2019-04-02 Aleksandar Bojchevski , Stephan Günnemann

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

The ability to perform computation on devices, such as smartphones, cars, or other nodes present at the Internet of Things leads to constraints regarding bandwidth, storage, and energy, as most of these devices are mobile and operate on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Natascha Harth , Hans-Joerg Voegel , Kostas Kolomvatsos , Christos Anagnostopoulos

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

Chaotic Dynamics · Physics 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

Dimension is a fundamental property of objects and the space in which they are embedded. Yet ideal notions of dimension, as in Euclidean spaces, do not always translate to physical spaces, which can be constrained by boundaries and…

Physics and Society · Physics 2022-07-06 Robert L. Peach , Alexis Arnaudon , Mauricio Barahona

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

The majority of real-world networks are dynamic and extremely large (e.g., Internet Traffic, Twitter, Facebook, ...). To understand the structural behavior of nodes in these large dynamic networks, it may be necessary to model the dynamics…

Social and Information Networks · Computer Science 2015-03-20 Ryan Rossi , Brian Gallagher , Jennifer Neville , Keith Henderson

Detecting new information and events in a dynamic network by probing individual nodes has many practical applications: discovering new webpages, analyzing influence properties in network, and detecting failure propagation in electronic…

Social and Information Networks · Computer Science 2015-07-30 Ahmad Mahmoody , Matteo Riondato , Eli Upfal