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Comparing weighted networks in neuroscience is hard, because the topological properties of a given network are necessarily dependent on the number of edges of that network. This problem arises in the analysis of both weighted and unweighted…

应用统计 · 统计学 2014-03-28 Cedric E. Ginestet , Arnaud P. Fournel , Andrew Simmons

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

无序系统与神经网络 · 物理学 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

The characterisation of quantum networks is fundamental to understanding how energy and information propagates through complex systems, with applications in control, communication, error mitigation and energy transfer. In this work, we…

量子物理 · 物理学 2025-09-19 Conall J. Campbell , Matthew Mackinnon , Mauro Paternostro , Diana A. Chisholm

Describing networks geometrically through low-dimensional latent metric spaces has helped design efficient learning algorithms, unveil network symmetries and study dynamical network processes. However, latent space embeddings are limited to…

物理与社会 · 物理学 2023-04-10 Adam Gosztolai , Alexis Arnaudon

The physical topology is emerging as the next frontier in an ongoing effort to render communication networks more flexible. While first empirical results indicate that these flexibilities can be exploited to reconfigure and optimize the…

网络与互联网体系结构 · 计算机科学 2018-07-10 Chen Avin , Stefan Schmid

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper we focus on networks…

无序系统与神经网络 · 物理学 2017-04-18 Daniel Fraiman , Nicolas Fraiman , Ricardo Fraiman

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

社会与信息网络 · 计算机科学 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

社会与信息网络 · 计算机科学 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

社会与信息网络 · 计算机科学 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

离散数学 · 计算机科学 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

Networks are often characterized by node heterogeneity for which nodes exhibit different degrees of interaction and link homophily for which nodes sharing common features tend to associate with each other. In this paper, we propose a new…

统计方法学 · 统计学 2018-03-13 Ting Yan , Binyan Jiang , Stephen E. Fienberg , Chenlei Leng

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…

物理与社会 · 物理学 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

Cyberthreats are a permanent concern in our modern technological world. In the recent years, sophisticated traffic analysis techniques and anomaly detection (AD) algorithms have been employed to face the more and more subversive adversarial…

机器学习 · 计算机科学 2022-05-17 Paul Irofti , Andrei Pătraşcu , Andrei Iulian Hîji

In the present work, we use information theory to understand the empirical convergence rate of tractography, a widely-used approach to reconstruct anatomical fiber pathways in the living brain. Based on diffusion MRI data, tractography is…

定量方法 · 定量生物学 2018-06-13 Daniel Moyer , Paul M. Thompson , Greg Ver Steeg

The approach for a network behavior description in terms of numerical time-dependant functions of the protocol parameters is suggested. This provides a basis for application of methods of mathematical and theoretical physics for information…

密码学与安全 · 计算机科学 2007-05-23 Vladimir Gudkov , Joseph E. Johnson

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

社会与信息网络 · 计算机科学 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

A concept of higher order neighborhood in complex networks, introduced previously (PRE \textbf{73}, 046101, (2006)), is systematically explored to investigate larger scale structures in complex networks. The basic idea is to consider each…

A classic network tomography problem is estimation of properties of the distribution of route traffic volumes based on counts taken on the network links. We consider inference for a general class of models for integer-valued traffic. Model…

统计方法学 · 统计学 2015-06-03 Martin L. Hazelton

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

社会与信息网络 · 计算机科学 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

A framework integrating information theory and network science is proposed, giving rise to a potentially new area. By incorporating and integrating concepts such as complexity, coding, topological projections and network dynamics, the…