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The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

Statistics Theory · Mathematics 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

This paper studies the observability radius of network systems, which measures the robustness of a network to perturbations of the edges. We consider linear networks, where the dynamics are described by a weighted adjacency matrix, and…

Systems and Control · Computer Science 2016-12-20 Gianluca Bianchin , Paolo Frasca , Andrea Gasparri , Fabio Pasqualetti

An important issue in medical image processing is to be able to estimate not only the performances of algorithms but also the precision of the estimation of these performances. Reporting precision typically amounts to reporting…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Rosana El Jurdi , Olivier Colliot

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

Statistical Mechanics · Physics 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

A projective network model is a model that enables predictions to be made based on a subsample of the network data, with the predictions remaining unchanged if a larger sample is taken into consideration. An exchangeable model is a model…

Physics and Society · Physics 2018-04-13 A. P. Kartun-Giles , D. Krioukov , J. P. Gleeson , Y. Moreno , G. Bianconi

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

The usage of psychological networks that conceptualize psychological behavior as a complex interplay of psychological and other components has gained increasing popularity in various fields of psychology. While prior publications have…

Applications · Statistics 2017-01-23 Sacha Epskamp , Denny Borsboom , Eiko I. Fried

Even though a train/test split of the dataset randomly performed is a common practice, could not always be the best approach for estimating performance generalization under some scenarios. The fact is that the usual machine learning…

Machine Learning · Computer Science 2022-09-09 Carlos Catania , Jorge Guerra , Juan Manuel Romero , Gabriel Caffaratti , Martin Marchetta

Distributed aggregation allows the derivation of a given global aggregate property from many individual local values in nodes of an interconnected network system. Simple aggregates such as minima/maxima, counts, sums and averages have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-09 Miguel Borges , Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

Virtually all network analyses involve structural measures between pairs of vertices, or of the vertices themselves, and the large amount of symmetry present in real-world complex networks is inherited by such measures. This has practical…

Combinatorics · Mathematics 2020-08-05 Rubén J. Sánchez-García

We consider a network whose links have random capacities and in which a certain target amount of flow must be carried from some source nodes to some destination nodes. Each destination node has a fixed demand that must be satisfied and each…

Computation · Statistics 2018-05-10 Zdravko I. Botev , Pierre L'Ecuyer , Bruno Tuffin

Epidemiologists and social scientists have used the Network Scale-Up Method (NSUM) for over thirty years to estimate the size of a hidden sub-population within a social network. This method involves querying a subset of network nodes about…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Sergio Díaz-Aranda , Juan Marcos Ramírez , Mohit Daga , Jaya Prakash Champati , José Aguilar , Rosa Elvira Lillo , Antonio Fernández Anta

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-18 Abhinav Mishra

Signed graphs are widely used to analyze complex systems such as social, political, and biological networks. The notion of balance, a key concept of signed graphs, reflects the stability of relationships. While it has been extensively…

Data Structures and Algorithms · Computer Science 2026-05-19 Zeyu Wang , Kudria Sergei , Jingbang Chen , Jiawei Chen , Xinyu Wang , Xiaodong Luo , Can Wang

We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the…

Statistical Mechanics · Physics 2017-09-13 Reimer Kuehn , Tim Rogers

Robust and comprehensive characterization of the topological properties of complex networks requires the adoption of several respective measurements, among which the node degree has special importance. In the present work, we provide an…

Physics and Society · Physics 2021-10-11 Alexandre Benatti , Luciano da F. Costa

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There is, however, a subtle difference between networks where weights are continuos…

Physics and Society · Physics 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

The network scale-up method (NSUM) is a survey-based method for estimating the number of individuals in a hidden or hard-to-reach subgroup of a general population. In NSUM surveys, sampled individuals report how many others they know in the…

Methodology · Statistics 2021-11-19 Nathaniel Josephs , Dennis M. Feehan , Forrest W. Crawford

In signed networks, each edge is labeled as either positive or negative. The edge sign captures the polarity of a relationship. Balance of signed networks is a well-studied property in graph theory. In a balanced (sub)graph, the vertices…

Social and Information Networks · Computer Science 2020-10-22 Kartik Sharma , Iqra Altaf Gillani , Sourav Medya , Sayan Ranu , Amitabha Bagchi

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates
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