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A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

Physics and Society · Physics 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

Networks are powerful instruments to study complex phenomena, but they become hard to analyze in data that contain noise. Network backbones provide a tool to extract the latent structure from noisy networks by pruning non-salient edges. We…

Physics and Society · Physics 2017-01-26 Michele Coscia , Frank Neffke

Network science provides effective tools to model and analyze complex systems. However, the increasing size of real-world networks becomes a major hurdle in order to understand their structure and topological features. Therefore, mapping…

Social and Information Networks · Computer Science 2020-08-11 Zakariya Ghalmane , Chantal Cherifi , Hocine Cherifi , Mohammed El Hassouni

Network backbones provide useful sparse representations of weighted networks by keeping only their most important links, permitting a range of computational speedups and simplifying network visualizations. A key limitation of existing…

Social and Information Networks · Computer Science 2025-06-13 Alec Kirkley

Networks are useful for representing phenomena in a broad range of domains. Although their ability to represent complexity can be a virtue, it is sometimes useful to focus on a simplified network that contains only the most important edges:…

Social and Information Networks · Computer Science 2022-06-02 Zachary P. Neal

The constantly growing size of real-world networks is a great challenge. Therefore, building a compact version of networks allowing their analyses is a must. Backbone extraction techniques are among the leading solutions to reduce network…

Social and Information Networks · Computer Science 2022-02-01 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

As networks grow in size and complexity, backbones become an essential network representation. Indeed, they provide a simplified yet informative overview of the underlying organization by retaining the most significant and structurally…

Social and Information Networks · Computer Science 2024-07-30 Sanaa Hmaida , Hocine Cherifi , Mohammed El Hassouni

Networks provide an informative, yet non-redundant description of complex systems only if links represent truly dyadic relationships that cannot be directly traced back to node-specific properties such as size, importance, or coordinates in…

Physics and Society · Physics 2017-06-12 Valerio Gemmetto , Alessio Cardillo , Diego Garlaschelli

Real world network datasets often contain a wealth of complex topological information. In the face of these data, researchers often employ methods to extract reduced networks containing the most important structures or pathways, sometimes…

Physics and Society · Physics 2014-02-19 Louis M. Shekhtman , James P. Bagrow , Dirk Brockmann

Networks are useful representations for complex systems. Especially, heterogeneous and asymmetrical relations commonly found in complex systems can be converted to weighted directed edges between nodes. The disparity filter (Serrano et al.,…

Physics and Society · Physics 2025-11-21 Hyunuk Kim

Networks are essential for analyzing complex systems. However, their growing size necessitates backbone extraction techniques aimed at reducing their size while retaining critical features. In practice, selecting, implementing, and…

Social and Information Networks · Computer Science 2025-03-21 Ali Yassin , Abbas Haidar , Hocine Cherifi , Hamida Seba , Olivier Togni

In many data sets, crucial information on the structure and temporality of a system coexists with noise and non-essential elements. In networked systems, for instance, some edges might be non-essential or exist only by chance. Filtering…

Physics and Society · Physics 2019-01-16 Teruyoshi Kobayashi , Taro Takaguchi , Alain Barrat

Many systems in nature, society and technology can be described as networks, where the vertices are the system's elements and edges between vertices indicate the interactions between the corresponding elements. Edges may be weighted if the…

Physics and Society · Physics 2011-04-18 Filippo Radicchi , José J. Ramasco , Santo Fortunato

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

Machine Learning · Computer Science 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

Network data has attracted growing interest across scientific domains, prompting the development of various network models. Existing network analysis methods mainly focus on unsigned networks, whereas signed networks, consisting of both…

Methodology · Statistics 2026-03-25 Yuwen Wang , Shiwen Ye , Jingnan Zhang , Junhui Wang

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

Methodology · Statistics 2025-11-06 Alberto Caimo , Isabella Gollini

In this paper we discuss a very simple approach of combining content and link information in graph structures for the purpose of community discovery, a fundamental task in network analysis. Our approach hinges on the basic intuition that…

Social and Information Networks · Computer Science 2012-12-04 Yiye Ruan , David Fuhry , Srinivasan Parthasarathy

Social networks often contain dense and overlapping connections that obscure their essential interaction patterns, making analysis and interpretation challenging. Identifying the structural backbone of such networks is crucial for…

Social and Information Networks · Computer Science 2025-10-14 Yutong Hu , Bingxin Zhou , Jing Wang , Weishu Zhao , Liang Hong
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