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We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

We propose a method for obtaining parsimonious decompositions of networks into higher order interactions which can take the form of arbitrary motifs.The method is based on a class of analytically solvable generative models, where vertices…

Social and Information Networks · Computer Science 2024-04-03 Anatol E. Wegner , Sofia C. Olhede

Data collected over networks can be modelled as noisy observations of an unknown function over the nodes of a graph or network structure, fully described by its nodes and their connections, the edges. In this context, function estimation…

Methodology · Statistics 2024-10-18 Dingjia Cao , Marina I. Knight , Guy P. Nason

With the rapid development of information technology and the widespread utilization of recommendation algorithms, users are able to access information more conveniently, while the content they receive tends to be homogeneous. Homogeneous…

Social and Information Networks · Computer Science 2025-05-07 Suwen Yang , Lei Shi

Qubit-efficient optimization studies how large combinatorial problems can be addressed with quantum circuits whose width is far smaller than the number of logical variables. In quadratic unconstrained binary optimization (QUBO), objective…

Quantum Physics · Physics 2026-01-13 Gordon Ma , Dimitris G. Angelakis

We propose a new, more actionable view of neural network interpretability and data analysis by leveraging the remarkable matching effectiveness of representations derived from deep networks, guided by an approach for class-conditional…

Computation and Language · Computer Science 2021-06-15 Allen Schmaltz

Real bipartite networks combine degree-constrained random mixing with structured, locality-like rules. We introduce a statistical filter that benchmarks node-level bipartite clustering against degree-preserving randomizations to classify…

Physics and Society · Physics 2025-09-27 Lucía S. Ramírez , Roya Aliakbarisani , M. Ángeles Serrano , Marián Boguñá

We study information-theoretic phase transitions for the detectability of latent geometry in bipartite random geometric graphs RGGs with Gaussian d-dimensional latent vectors while only a subset of edges carries latent information…

Probability · Mathematics 2026-04-13 Andreas Göbel , Marcus Pappik , Leon Schiller

Ecological networks are often composed of different sub-communities (often referred to as modules). Identifying such modules has the potential to develop a better understanding of the assembly of ecological communities and to investigate…

Quantitative Methods · Quantitative Biology 2014-03-14 Carsten F. Dormann , Rouven Strauss

The variety and complexity of relations in multimedia data lead to Heterogeneous Information Networks (HINs). Capturing the semantics from such networks requires approaches capable of utilizing the full richness of the HINs. Existing…

Machine Learning · Computer Science 2023-09-26 Shuai Wang , Jiayi Shen , Athanasios Efthymiou , Stevan Rudinac , Monika Kackovic , Nachoem Wijnberg , Marcel Worring

We study the power of \textit{local information algorithms} for optimization problems on social networks. We focus on sequential algorithms for which the network topology is initially unknown and is revealed only within a local neighborhood…

Social and Information Networks · Computer Science 2013-10-15 Christian Borgs , Michael Brautbar , Jennifer Chayes , Sanjeev Khanna , Brendan Lucier

This paper considers the identification of large-scale 1D networks consisting of identical LTI dynamical systems. A new subspace identification method is developed that only uses local input-output information and does not rely on knowledge…

Systems and Control · Computer Science 2017-02-14 Chengpu Yu , Michel Verhaegen , Anders Hansson

In this paper, we propose a novel hypergraph based method (called HF) to fit and segment multi-structural data. The proposed HF formulates the geometric model fitting problem as a hypergraph partition problem based on a novel hypergraph…

Computer Vision and Pattern Recognition · Computer Science 2016-07-12 Guobao Xiao , Hanzi Wang , Taotao Lai , David Suter

A fundamental problem in studying and modeling economic and financial systems is represented by privacy issues, which put severe limitations on the amount of accessible information. Here we introduce a novel, highly nontrivial method to…

Physics and Society · Physics 2018-12-10 Giulio Cimini , Tiziano Squartini , Andrea Gabrielli , Diego Garlaschelli

Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and…

Physics and Society · Physics 2016-02-05 Rudolf P. Rohr , Russel E. Naisbit , Christian Mazza , Louix-Félix Bersier

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

In this article, we present a novel approach to reconstruct the topology of networked linear dynamical systems with latent nodes. The network is allowed to have directed loops and bi-directed edges. The main approach relies on the unique…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Mishfad S. V. , Harish Doddi , Murti V. Salapaka

Psychological network approaches propose to see symptoms or questionnaire items as interconnected nodes, with links between them reflecting pairwise statistical dependencies evaluated cross-sectional, time-series, or panel data. These…

Many networks can be usefully decomposed into a dense core plus an outlying, loosely-connected periphery. Here we propose an algorithm for performing such a decomposition on empirical network data using methods of statistical inference. Our…

Social and Information Networks · Computer Science 2015-06-22 Xiao Zhang , Travis Martin , M. E. J. Newman

Molecular interactions have widely been modelled as networks. The local wiring patterns around molecules in molecular networks are linked with their biological functions. However, networks model only pairwise interactions between molecules…

Molecular Networks · Quantitative Biology 2018-09-21 Thomas Gaudelet , Noel Malod-Dognin , Natasa Przulj