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A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry. Actually we propose a constructive way to associate to a -…

Mathematical Physics · Physics 2017-12-19 Roberto Franzosi , Domenico Felice , Stefano Mancini , Marco Pettini

To understand large, connected systems, we cannot only zoom into the details. We also need to see the large-scale features from afar. One way to take a step back and get the whole picture is to model the systems as a network. However, many…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

We survey some of the concepts, methods, and applications of community detection, which has become an increasingly important area of network science. To help ease newcomers into the field, we provide a guide to available methodology and…

Physics and Society · Physics 2016-09-08 Mason A. Porter , Jukka-Pekka Onnela , Peter J. Mucha

In many applications, it is important to derive information about the topology and the internal connections of dynamical systems interacting together. Examples can be found in fields as diverse as Economics, Neuroscience and Biochemistry.…

Dynamical Systems · Mathematics 2011-03-04 D. Materassi , G. Innocenti , L. Giarré , M. Salapaka

With the widespread use of information technologies, information networks are becoming increasingly popular to capture complex relationships across various disciplines, such as social networks, citation networks, telecommunication networks,…

Social and Information Networks · Computer Science 2018-07-20 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

In this paper we quantify our limited information horizon, by measuring the information necessary to locate specific nodes in a network. To investigate different ways to overcome this horizon, and the interplay between communication and…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Rosvall , K. Sneppen

A collection of articles on the statistical modelling and inference of social networks is analysed in a network fashion. The references of these articles are used to construct a citation network data set, which is almost a directed acyclic…

Applications · Statistics 2018-10-30 Clement Lee , Darren J Wilkinson

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

This textbook is an introduction to economic networks, intended for students and researchers in the fields of economics and applied mathematics. The textbook emphasizes quantitative modeling, with the main underlying tools being graph…

General Economics · Economics 2022-07-04 Thomas J. Sargent , John Stachurski

Modeling and topological analysis of networks in biological and other complex systems, must venture beyond the limited consideration of very few network metrics like degree, betweenness or assortativity. A proper identification of…

Quantitative Methods · Quantitative Biology 2012-09-25 Soumen Roy

Social Network Analysis is the use of Network and Graph Theory to study social phenomena, which was found to be highly relevant in areas like Criminology. This chapter provides an overview of key methods and tools that may be used for the…

Social and Information Networks · Computer Science 2021-03-05 Lucia Cavallaro , Ovidiu Bagdasar , Pasquale De Meo , Giacomo Fiumara , Antonio Liotta

This paper has been withdrawn by the author due to a crucial accuracy error in Fig. 5. For precise performance of ALBNN please refer to Yoon et al.'s work in the following article. Yoon, H., Park, C. S., Kim, J. S., & Baek, J. G. (2013).…

Neural and Evolutionary Computing · Computer Science 2015-02-27 Rizwana Kalsoom , Moomal Qureshi

The literature review presented below on Image Compression, Transmission of 3D data over wireless networks and tracking of objects is the in depth study of Research Papers done in Multimedia lab. Most of the papers presented in this…

Multimedia · Computer Science 2022-04-08 Sravanti Chinta , Rajat Bothra Jain

In this chapter, we present a review of latent position models for networks. We review the recent literature in this area and illustrate the basic aspects and properties of this modeling framework. Through several illustrative examples we…

Methodology · Statistics 2023-04-07 Hardeep Kaur , Riccardo Rastelli , Nial Friel , Adrian E. Raftery

We analyze the data about works (papers, books) from the time period 1990-2010 that are collected in Zentralblatt MATH database. The data were converted into four 2-mode networks (works $\times$ authors, works $\times$ journals, works…

Social and Information Networks · Computer Science 2016-03-30 Monika Cerinšek , Vladimir Batagelj

Networks have become the de facto diagram of the Big Data age (try searching Google Images for [big data AND visualisation] and see). The concept of networks has become central to many fields of human inquiry and is said to revolutionise…

Social and Information Networks · Computer Science 2018-06-22 Liliana Bounegru , Tommaso Venturini , Jonathan Gray , Mathieu Jacomy

In this paper, we provide a review on both fundamentals of social networks and latent space modeling. The former discusses important topics related to network description, including vertex characteristics and network structure; whereas the…

Social and Information Networks · Computer Science 2020-12-07 Juan Sosa , Lina Buitrago

Network analysis has a crucial need for tools to compare networks and assess the significance of differences between networks. We propose a principled statistical approach to network comparison that approximates networks as probability…

Statistics Theory · Mathematics 2015-07-27 Dena Asta , Cosma Rohilla Shalizi

Understanding the causes and consequences of, and devising countermeasures to, global warming is a profoundly complex problem. Network representations are sometimes the only way forward, and sometimes able to reduce the complexity of the…

Physics and Society · Physics 2022-05-30 Petter Holme , Juan C. Rocha