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We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

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

Network systems have become a ubiquitous modeling tool in many areas of science where nodes in a graph represent distributed processes and edges between nodes represent a form of dynamic coupling. When a network topology is already known…

Adaptation and Self-Organizing Systems · Physics 2019-05-30 Donatello Materassi , Murti V. Salapaka

Graph theory has become a very critical component in many applications in the computing field including networking and security. Unfortunately, it is also amongst the most complex topics to understand and apply. In this paper, we review…

Cryptography and Security · Computer Science 2015-11-17 Jonathan Webb , Fernando Docemmilli , Mikhail Bonin

We take a unified view of network coding and decentralized control. Precisely speaking, we consider both as linear time-invariant systems by appropriately restricting channels and coding schemes of network coding to be linear…

Optimization and Control · Mathematics 2013-08-26 Se Yong Park , Anant Sahai

We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model this problem via an adversarial noise, presenting a formal…

Information Theory · Computer Science 2022-05-31 Allison Beemer , Altan Berdan Kilic , Alberto Ravagnani

We find large deviations rates for consensus-based distributed inference for directed networks. When the topology is deterministic, we establish the large deviations principle and find exactly the corresponding rate function, equal at all…

Information Theory · Computer Science 2016-06-29 Dragana Bajović , José M. F. Moura , João Xavier , Bruno Sinopoli

This work clarifies the relation between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how to determine a network topology that is…

Chaotic Dynamics · Physics 2015-05-13 M. S. Baptista , J. X. de Carvalho , M. S. Hussein

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

Modeling how networks change under structural perturbations can yield foundational insights into network robustness, which is critical in many real-world applications. The largest connected component is a popular measure of network…

Physics and Society · Physics 2025-09-30 Jessica Jiang , Allison C. Zhuang , Petter Holme , Peter J. Mucha , Alice C. Schwarze

There is currently growing interest in modeling the information diffusion on social networks across multi-disciplines. The majority of the corresponding research has focused on information diffusion independently, ignoring the network…

Physics and Society · Physics 2020-02-28 Chuang Liu , Nan Zhou , Xiu-Xiu Zhan , Gui-Quan Sun , Zi-Ke Zhang

Without having direct access to the information that is being exchanged, traces of information flow can be obtained by looking at temporal sequences of user interactions. These sequences can be represented as causality trees whose…

Physics and Society · Physics 2013-02-04 Fernando Peruani , Lionel Tabourier

To comprehend the multipartite organization of large-scale biological and social systems, we introduce a new information theoretic approach that reveals community structure in weighted and directed networks. The method decomposes a network…

Physics and Society · Physics 2008-02-13 M. Rosvall , C. T. Bergstrom

This paper presents an information theory based detection framework for covert channels. We first show that the usual notion of interference does not characterize the notion of deliberate information flow of covert channels. We then show…

Cryptography and Security · Computer Science 2011-03-01 Loïc Hélouët , Aline Roumy

Assessing where and how information is stored in biological networks (such as neuronal and genetic networks) is a central task both in neuroscience and in molecular genetics, but most available tools focus on the network's structure as…

Information Theory · Computer Science 2023-02-24 Clifford Bohm , Douglas Kirkpatrick , Victoria Cao , Christoph Adami

Network complexity, network information content analysis, and lossless compressibility of graph representations have been played an important role in network analysis and network modeling. As multidimensional networks, such as time-varying,…

Information Theory · Computer Science 2020-10-06 Felipe S. Abrahão , Klaus Wehmuth , Hector Zenil , Artur Ziviani

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Understanding and interacting with everyday physical scenes requires rich knowledge about the structure of the world, represented either implicitly in a value or policy function, or explicitly in a transition model. Here we introduce a new…

We explore link prediction as a proxy for automatically surfacing documents from existing literature that might be topically or contextually relevant to a new document. Our model uses transformer-based graph embeddings to encode the meaning…

Social and Information Networks · Computer Science 2024-03-29 William Watson , Lawrence Yong

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

Learning influence pathways of a network of dynamically related processes from observations is of considerable importance in many disciplines. In this article, influence networks of agents which interact dynamically via linear dependencies…

Systems and Control · Computer Science 2018-09-28 Saurav Talukdar , Deepjyoti Deka , Harish Doddi , Donatello Materassi , Misha Chertkov , Murti V. Salapaka
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