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While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

Disordered Systems and Neural Networks · Physics 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger

This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are inherently modeled in discrete time-such as opinion…

Physics and Society · Physics 2025-11-25 Amirhossein Nazerian , MAlbor Asllani , Melvyn Tyloo , Francesco Sorrentino

The interplay between nonlinear dynamic systems and noise has proved to be of great relevance in several application areas. In this presentation, we focus on the areas of information transmission and storage. We review some recent results…

Other Condensed Matter · Physics 2017-11-22 P. I. Fierens , G. A. Patterson , A. A. García , D. F. Grosz

Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jie Zhang , Changsong Zhou , Xiaoke Xu , Michael Small

In these series of multi-part papers, a systematic study of fundamental limits of communications in interference networks is established. Here, interference network is referred to as a general single-hop communication scenario with…

Information Theory · Computer Science 2013-02-18 Reza K. Farsani

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Neurons and Cognition · Quantitative Biology 2017-10-16 Bertha Vázquez-Rodríguez , Andrea Avena-Koenigsberger , Olaf Sporns , Alessandra Griffa , Patric Hagmann , Hernán Larralde

Social networks play a fundamental role in the diffusion of information. However, there are two different ways of how information reaches a person in a network. Information reaches us through connections in our social networks, as well as…

Social and Information Networks · Computer Science 2012-06-08 Seth A. Myers , Chenguang Zhu , Jure Leskovec

Classical percolation theory underlies many processes of information transfer along the links of a network. In these standard situations, the requirement for two nodes to be able to communicate is the presence of at least one uninterrupted…

Statistical Mechanics · Physics 2023-10-25 Lorenzo Cirigliano , Claudio Castellano , Gábor Timár

While Graph Neural Networks (GNNs) have achieved remarkable success, their design largely relies on empirical intuition rather than theoretical understanding. In this paper, we present a comprehensive analysis of GNN behavior through three…

Machine Learning · Computer Science 2025-02-04 Qin Jiang , Chengjia Wang , Michael Lones , Wei Pang

The functioning of a living cell is largely determined by the structure of its regulatory network, comprising non-linear interactions between regulatory genes. An important factor for the stability and evolvability of such regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Gunnar Boldhaus , Konstantin Klemm

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

Microscopic structural damage, such as lesions in neural systems or disruptions in urban transportation networks, can impair the dynamics crucial for systems' functionality, such as electrochemical signals or human flows, or any other type…

Physics and Society · Physics 2022-02-22 Arsham Ghavasieh , Giulia Bertagnolli , Manlio De Domenico

This paper presents an unusual view of interference wireless networks based on complex system thinking. To proceed with this analysis, a literature review of the different applications of complex systems is firstly presented to illustrate…

Information Theory · Computer Science 2013-03-13 Pedro H. J. Nardelli , Paulo Cardieri , William A. Kretzschmar , Matti Latva-aho

Complex networks characterized by global transport processes rely on the presence of directed paths from input to output nodes and edges, which organize in characteristic linked components. The analysis of such network-spanning structures…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. Angeles Serrano , Paolo De Los Rios

Understanding how different networks relate to each other is key for obtaining a greater insight into complex systems. Here, we introduce an intuitive yet powerful framework to characterise the relationship between two networks comprising…

Social and Information Networks · Computer Science 2023-08-09 Andrea I. Luppi , Eckehard Olbrich , Conor Finn , Laura E. Suárez , Fernando E. Rosas , Pedro A. M. Mediano , Jürgen Jost

Highly dynamic networks are characterized by frequent changes in the availability of communication links. These networks are often partitioned into several components, which split and merge unpredictably. We present a distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Matthieu Barjon , Arnaud Casteigts , Serge Chaumette , Colette Johnen , Yessin M. Neggaz

Expander graphs are widely used in communication problems and construction of error correcting codes. In such graphs, information gets through very quickly. Typically, it is not true for social or biological networks, though we may find a…

Combinatorics · Mathematics 2011-03-04 Marianna Bolla

Most businesses impose a supervisory hierarchy on employees to facilitate management, decision-making, and collaboration, yet routine inter-employee communication patterns within workplaces tend to emerge more naturally as a consequence of…

Applications · Statistics 2024-03-12 Nathaniel Josephs , Sida Peng , Forrest W. Crawford

Communication networks are used today everywhere and on every scale: starting from small Internet of Things (IoT) networks at home, via campus and enterprise networks, and up to tier-one networks of Internet providers. Accordingly, network…

Networking and Internet Architecture · Computer Science 2022-02-16 Itamar Cohen

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles
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