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This chapter provides a comprehensive and self-contained discussion of the most recent developments of information theory of networks. Maximum entropy models of networks are the least biased ensembles enforcing a set of constraints and are…

Disordered Systems and Neural Networks · Physics 2022-06-14 Ginestra Bianconi

A systematic assessment of global neural network connectivity through direct electrophysiological assays has remained technically unfeasible even in dissociated neuronal cultures. We introduce an improved algorithmic approach based on…

Neurons and Cognition · Quantitative Biology 2015-06-03 Olav Stetter , Demian Battaglia , Jordi Soriano , Theo Geisel

In many complex systems, whether biological or artificial, the thermodynamic costs of communication among their components are large. These systems also tend to split information transmitted between any two components across multiple…

Statistical Mechanics · Physics 2024-02-12 Farita Tasnim , Nahuel Freitas , David H. Wolpert

Empirical data on real complex systems are becoming increasingly available. Parallel to this is the need for new methods of reconstructing (inferring) the topology of networks from time-resolved observations of their node-dynamics. The…

Dynamical Systems · Mathematics 2019-09-16 Marc G. Leguia , Zoran Levnajic , Ljupco Todorovski , Bernard Zenko

Connectivity structure shapes neural computation, but inferring this structure from population recordings is degenerate: multiple connectivity structures can generate identical dynamics. Recent work uses low-rank recurrent neural networks…

Neurons and Cognition · Quantitative Biology 2026-03-30 Timothy Doyeon Kim , Ulises Pereira-Obilinovic , Yiliu Wang , Eric Shea-Brown , Uygar Sümbül

From the perspective of network analysis, the ubiquitous networks are comprised of regular and irregular components, which makes uncovering the complexity of network structures to be a fundamental challenge. Exploring the regular…

Social and Information Networks · Computer Science 2018-08-30 Tao Wu , Shaojie Qiao , Xingping Xian , Xi-Zhao Wang , Wei Wang , Yanbing Liu

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

A novel information-theoretic method for reconstruction of interaction networks is introduced. We prove that the method is exact for some class of networks. Performance tests on large synthetic transcriptional regulatory networks produce…

Molecular Networks · Quantitative Biology 2007-05-23 Adam A. Margolin , Ilya Nemenman , Chris Wiggins , Gustavo Stolovitzky , Andrea Califano

The interdependency between different network layers is commonly observed in Cyber Physical Systems and communication networks adopting the dissociation of logic and hardware implementation, such as Software Defined Networking and Network…

Networking and Internet Architecture · Computer Science 2019-03-06 Genya Ishigaki , Riti Gour , Jason P. Jue

To capture the systemic complexity of international financial systems, network data is an important prerequisite. However, dyadic data is often not available, raising the need for methods that allow for reconstructing networks based on…

Applications · Statistics 2019-09-05 Michael Lebacher , Samantha Cook , Nadja Klein , Göran Kauermann

The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behaviour, it is crucial to convene as much information as possible about…

Neurons and Cognition · Quantitative Biology 2024-06-18 Gustavo Menesse , Akke Mats Houben , Jordi Soriano , Joaquin J. Torres

Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth…

Methodology · Statistics 2017-05-01 Gabriel Loaiza-Ganem , Yuanjun Gao , John P. Cunningham

Economic and financial networks play a crucial role in various important processes, including economic integration, globalization, and financial crises. Of particular interest is understanding whether the temporal evolution of a real…

Physics and Society · Physics 2014-05-08 Tiziano Squartini , Diego Garlaschelli

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

Molecular Networks · Quantitative Biology 2017-11-06 Gabriel A. Silva

Revealing physical interactions in complex systems from observed collective dynamics constitutes a fundamental inverse problem in science. Current reconstruction methods require access to a system's model or dynamical data at a level of…

Physics and Society · Physics 2018-01-18 Mor Nitzan , Jose Casadiego , Marc Timme

Accurate distribution grid topology is essential for reliable modern grid operations. However, real-world utility data originates from multiple sources with varying characteristics and levels of quality. In this work, developed in…

Machine Learning · Computer Science 2025-08-11 Haoran Li , Lihao Mai , Muhao Guo , Jiaqi Wu , Yang Weng , Yannan Sun , Ce Jimmy Liu

We investigate the dependence of the maximum entropy method (MEM) reconstruction performance on the default model. The maximum entropy method is a reconstruction technique that utilizes prior information, referred to as the default model,…

Statistical Mechanics · Physics 2025-10-06 Masaru Hitomi , Masayuki Ohzeki

How do inter-organizational networks emerge? Accounting for interdependence among ties while studying tie formation is one of the key challenges in this area of research. We address this challenge using an equilibrium framework where firms'…

Econometrics · Economics 2021-05-04 Shweta Gaonkar , Angelo Mele

The worldwide trade network has been widely studied through different data sets and network representations with a view to better understanding interactions among countries and products. Here we investigate international trade through the…

Physics and Society · Physics 2018-12-12 Luiz G. A. Alves , Giuseppe Mangioni , Francisco A. Rodrigues , Pietro Panzarasa , Yamir Moreno

The discovery, representation and reconstruction of Business Networks (BN) from Network Mining (NM) raw data is a difficult problem for enterprises. This is due to huge amounts of complex business processes within and across enterprise…

Databases · Computer Science 2013-12-31 Daniel Ritter