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In the last decade, network science has shed new light both on the structural (anatomical) and on the functional (correlations in the activity) connectivity among the different areas of the human brain. The analysis of brain networks has…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Mario Chavez , Vito Latora

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

Large knowledge graphs combine human knowledge garnered from projects ranging from academia and institutions to enterprises and crowdsourcing. Within such graphs, each relationship between two nodes represents a basic fact involving these…

Artificial Intelligence · Computer Science 2024-06-11 Loïck Lhote , Béatrice Markhoff , Arnaud Soulet

Node role explainability in complex networks is very difficult, yet is crucial in different application domains such as social science, neurosciences or computer science. Many efforts have been made on the quantification of hubs revealing…

Neurons and Cognition · Quantitative Biology 2023-02-01 Lucrezia Carboni , Michel Dojat , Sophie Achard

Detecting malicious activity within an enterprise computer network can be framed as a temporal link prediction task: given a sequence of graphs representing communications between hosts over time, the goal is to predict which edges…

Cryptography and Security · Computer Science 2023-03-29 Corentin Larroche

Multicellular self-assembly into functional structures is a dynamic process that is critical in the development and diseases, including embryo development, organ formation, tumor invasion, and others. Being able to infer collective cell…

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

Neurons and Cognition · Quantitative Biology 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

We introduce a taxonomy of interaction types and show that graphs are focal hypergraphs: every graph is canonically a focal hypergraph via its closed neighbourhood structure, and every graph dynamical model is a special case of the general…

Physics and Society · Physics 2026-03-05 Elkaïoum M. Moutuou

Networks with stochastic variables described by heavy tailed lognormal distribution are ubiquitous in nature, and hence they deserve an exact information-theoretic characterization. We derive analytical formulas for mutual information…

Disordered Systems and Neural Networks · Physics 2024-04-23 Maurycy Chwiłka , Jan Karbowski

Dynamic networks are used in a wide range of fields, including social network analysis, recommender systems, and epidemiology. Representing complex networks as structures changing over time allow network models to leverage not only…

Social and Information Networks · Computer Science 2021-06-15 Joakim Skarding , Bogdan Gabrys , Katarzyna Musial

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

Data Analysis, Statistics and Probability · Physics 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

The reasoning process of Graph Neural Networks is complex and considered opaque, limiting trust in their predictions. To alleviate this issue, prior work has proposed concept-based explanations, extracted from clusters in the model's node…

Machine Learning · Computer Science 2026-04-22 Lucie Charlotte Magister , Alexander Norcliffe , Iulia Duta , Pietro Lio

A graph theoretic perspective is taken for a range of phenomena in continuum physics in order to develop representations for analysis of large scale, high-fidelity solutions to these problems. Of interest are phenomena described by partial…

Computational Physics · Physics 2019-05-22 R. Banerjee , K. Sagiyama , G. H. Teichert , K. Garikipati

Network analysis has played a key role in knowledge discovery and data mining. In many real-world applications in recent years, we are interested in mining multilayer networks, where we have a number of edge sets called layers, which encode…

Social and Information Networks · Computer Science 2022-11-08 Yasushi Kawase , Atsushi Miyauchi , Hanna Sumita

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

In this work, we introduce a new algorithm for analyzing a diagram, which contains visual and textual information in an abstract and integrated way. Whereas diagrams contain richer information compared with individual image-based or…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Daesik Kim , Youngjoon Yoo , Jeesoo Kim , Sangkuk Lee , Nojun Kwak

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko