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Multilayer networks preserve full information about the different interactions among the constituents of a complex system, and have recently proven quite useful in modelling transportation networks, social circles, and the human brain. A…

Physics and Society · Physics 2020-06-29 Andrea Santoro , Vincenzo Nicosia

The relation between EEG rhythms, brain functions, and behavioral correlates is well-established. Some mechanisms underlying rhythm generation are understood, enabling the replication of brain rhythms $in\; silico$. This allows to explore…

Neurons and Cognition · Quantitative Biology 2024-08-02 Gustavo Menesse , Joaquin J. Torres

Whatever information a deep neural network has gleaned from training data is encoded in its weights. How this information affects the response of the network to future data remains largely an open question. Indeed, even defining and…

Machine Learning · Computer Science 2020-06-23 Alessandro Achille , Giovanni Paolini , Stefano Soatto

Accurately capturing individual differences in semantic networks is fundamental to advancing our mechanistic understanding of semantic memory. Past empirical attempts to construct individual-level semantic networks from behavioral paradigms…

Computation and Language · Computer Science 2024-10-25 Samuel Aeschbach , Rui Mata , Dirk U. Wulff

Data classification techniques partition the data or feature space into smaller sub-spaces, each corresponding to a specific class. To classify into subspaces, physical features e.g., distance and distributions are utilized. This approach…

Machine Learning · Computer Science 2025-03-11 Josimar Chire , Khalid Mahmood , Zhao Liang

Triadic closure has been conceptualized and measured in a variety of ways, most famously the clustering coefficient. Existing extensions to affiliation networks, however, are sensitive to repeat group attendance, which manifests in…

Combinatorics · Mathematics 2016-06-27 Jason Cory Brunson

Protein interaction networks are a promising type of data for studying complex biological systems. However, despite the rich information embedded in these networks, they face important data quality challenges of noise and incompleteness…

Molecular Networks · Quantitative Biology 2012-10-29 Gaurav Pandey , Sahil Manocha , Gowtham Atluri , Vipin Kumar

Full-reference image quality assessment (FR-IQA) models generally operate by measuring the visual differences between a degraded image and its reference. However, existing FR-IQA models including both the classical ones (eg, PSNR and SSIM)…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Kang Xiao , Xu Wang , Yulin He , Baoliang Chen , Xuelin Shen

Recent studies have shown that a system composed from several randomly interdependent networks is extremely vulnerable to random failure. However, real interdependent networks are usually not randomly interdependent, rather a pair of…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Celine Rozenblat , Daniele Ietri , Cesar Ducruet , Shlomo Havlin

In this work, we developed new mathematical methods for analyzing network topology and applied these methods to the analysis of brain networks. More specifically, we rigorously developed quantitative methods based on complexes constructed…

Neurons and Cognition · Quantitative Biology 2026-04-28 Heitor Baldo

Cognition is increasingly framed in terms of information processing, yet most fMRI analyses focus on activation or functional connectivity rather than quantifying how information is stored and transferred. To remedy this problem, we propose…

Neurons and Cognition · Quantitative Biology 2026-02-04 Chetan Gohil , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

This paper proposes that common measures for network transitivity, based on the enumeration of transitive triples, do not reflect the theoretical statements about transitivity they aim to describe. These statements are often formulated as…

Applications · Statistics 2017-08-03 David Dekker , David Krackhardt , Tom A. B. Snijders

This work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the…

Statistical Mechanics · Physics 2007-09-19 Luciano da Fontoura Costa , Luis Enrique C. da Rocha

Information-theoretic (IT) measures are ubiquitous in artificial intelligence: entropy drives decision-tree splits and uncertainty quantification, cross-entropy is the default classification loss, mutual information underpins representation…

Artificial Intelligence · Computer Science 2026-04-28 Nikolaos Al. Papadopoulos , Konstantinos E. Psannis

The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized is a parameter. This allows one to…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Marro , J. J. Torres , J. M. Cortes , B. Wemmenhove

Graph connectivity and network design problems are among the most fundamental problems in combinatorial optimization. The minimum spanning tree problem, the two edge-connected spanning subgraph problem (2-ECSS) and the tree augmentation…

Data Structures and Algorithms · Computer Science 2020-01-14 David Adjiashvili , Felix Hommelsheim , Moritz Mühlenthaler

Complex systems, from the human brain to the global economy, are made of multiple elements that interact in such ways that the behaviour of the `whole' often seems to be more than what is readily explainable in terms of the `sum of the…

Neurons and Cognition · Quantitative Biology 2021-09-28 Pedro A. M. Mediano , Fernando E. Rosas , Andrea I Luppi , Robin L. Carhart-Harris , Daniel Bor , Anil K. Seth , Adam B. Barrett

The information transmission rate (ITR), or effective bit rate, is a popular and widely used information measurement metric, particularly popularized for SSVEP-based Brain-Computer (BCI) interfaces. By combining speed and accuracy into a…

Human-Computer Interaction · Computer Science 2023-06-13 Suayb S. Arslan , Pawan Sinha

Information-centric networks are an interesting new paradigm for distributing content on the Internet. They bring up many research challenges, such as addressing content by name, securing content, and wide-spread caching of content. Caching…

Networking and Internet Architecture · Computer Science 2016-08-09 Liang Wang , Jussi Kangasharju , Jon Crowcroft
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