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Complex networks datasets often come with the problem of missing information: interactions data that have not been measured or discovered, may be affected by errors, or are simply hidden because of privacy issues. This Element provides an…

Physics and Society · Physics 2021-08-11 Giulio Cimini , Rossana Mastrandrea , Tiziano Squartini

The emergence of interconnected urban networks is a crucial feature of globalisation processes. Understanding the drivers behind the growth of such networks - in particular urban firm networks -, is essential for the economic resilience of…

Physics and Society · Physics 2020-09-14 Juste Raimbault , Natalia Zdanowska , Elsa Arcaute

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

Social and Information Networks · Computer Science 2018-10-19 Tiago P. Peixoto

We address a fundamental problem that is systematically encountered when modeling complex systems: the limitedness of the information available. In the case of economic and financial networks, privacy issues severely limit the information…

Physics and Society · Physics 2015-12-07 Giulio Cimini , Tiziano Squartini , Diego Garlaschelli , Andrea Gabrielli

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

In this paper we estimate the propagation of liquidity shocks through interbank markets when the information about the underlying credit network is incomplete. We show that techniques such as Maximum Entropy currently used to reconstruct…

Risk Management · Quantitative Finance 2013-10-08 Iacopo Mastromatteo , Elia Zarinelli , Matteo Marsili

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

Systems and Control · Computer Science 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut

Designing effective recovery strategies for damaged networked systems is critical to the resilience of built, human and natural systems. However, progress has been limited by the inability to bring together distinct philosophies, such as…

Physics and Society · Physics 2018-11-20 Udit Bhatia , Lina Sela Perelman , Auroop Ratan Ganguly

Subset repair is an important data cleaning technique that enforces integrity constraints by deleting a minimal number of conflicting tuples, yet multiple minimal repairs often exist. Density-based methods address this ambiguity by favoring…

Databases · Computer Science 2026-01-28 Guoqi Zhao , Xixian Han , Xiaolong Wan

Production networks constitute the backbone of every economic system. They are inherently fragile as several recent crises clearly highlighted. Estimating the system-wide consequences of local disruptions (systemic risk) requires detailed…

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of previous works, to fully reconstruct the network structure from observed binary data remains to be challenging. We articulate a statistical inference…

Physics and Society · Physics 2018-03-14 Chuang Ma , Han-Shuang Chen , Ying-Cheng Lai , Hai-Feng Zhang

It has been recognized that many complex dynamical systems in the real world require a description in terms of multiplex networks, where a set of common, mutually connected nodes belong to distinct network layers and play a different role…

Physics and Society · Physics 2019-12-23 Chuang Ma , Han-Shuang Chen , Xiang Li , Ying-Cheng Lai , Hai-Feng Zhang

A problem of reconstruction of the topology and the respective edge resistance values of an unknown circular planar passive resistive network using limitedly available resistance distance measurements is considered. We develop a multistage…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Shivanagouda Biradar , Deepak U Patil

We present a method for the reconstruction of networks, based on the order of nodes visited by a stochastic branching process. Our algorithm reconstructs a network of minimal size that ensures consistency with the data. Crucially, we show…

Data Structures and Algorithms · Computer Science 2010-06-07 Nick Fyson , Tijl De Bie , Nello Cristianini

Reconstructing the equation of motion and thus the network topology of a system from time series is a very important problem. Although many powerful methods have been developed, it remains a great challenge to deal with systems in high…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Zishuo Yan , Lili Gui , Kun Xu , Yueheng Lan

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

The sheer amounts of biological data that are generated in recent years have driven the development of network analysis tools to facilitate the interpretation and representation of these data. A fundamental challenge in this domain is the…

Quantitative Methods · Quantitative Biology 2013-07-31 Arnon Mazza , Irit Gat-Viks , Hesso Farhan , Roded Sharan

The networked nature of supply chains makes them susceptible to systemic risk, where local firm failures can propagate through firm interdependencies that can lead to cascading supply chain disruptions. The systemic risk of supply chains…

General Economics · Economics 2025-05-01 Giacomo Zelbi , Leonardo Niccolò Ialongo , Stefan Thurner

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