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Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

神经元与认知 · 定量生物学 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

Many natural, technological, and social systems incorporate multiway interactions, yet are characterized and measured on the basis of weighted pairwise interactions. In this article, I propose a family of models in which pairwise…

物理与社会 · 物理学 2013-06-17 Eduardo López

Multilayer networks are a powerful paradigm to model complex systems, where multiple relations occur between the same entities. Despite the keen interest in a variety of tasks, algorithms, and analyses in this type of network, the problem…

数据结构与算法 · 计算机科学 2019-11-18 Edoardo Galimberti , Francesco Bonchi , Francesco Gullo , Tommaso Lanciano

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

机器学习 · 统计学 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

Visual recognition requires rich representations that span levels from low to high, scales from small to large, and resolutions from fine to coarse. Even with the depth of features in a convolutional network, a layer in isolation is not…

计算机视觉与模式识别 · 计算机科学 2019-01-07 Fisher Yu , Dequan Wang , Evan Shelhamer , Trevor Darrell

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

机器学习 · 计算机科学 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Complex networks are powerful representations of complex systems across scales and domains, and the field is experiencing unprecedented growth in data availability. However, real-world network data often suffer from noise, biases, and…

计算工程、金融与科学 · 计算机科学 2026-02-09 Tingyu Zhao , István A. Kovács

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

统计方法学 · 统计学 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

物理与社会 · 物理学 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

物理与社会 · 物理学 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Multivariate relations are general in various types of networks, such as biological networks, social networks, transportation networks, and academic networks. Due to the principle of ternary closures and the trend of group formation, the…

社会与信息网络 · 计算机科学 2020-08-11 Jin Xu , Shuo Yu , Ke Sun , Jing Ren , Ivan Lee , Shirui Pan , Feng Xia

Complex networks, such as transportation networks, social networks, or biological networks, capture the complex system they model often by representing only one type of interactions. In real world systems, there may be many different…

物理与社会 · 物理学 2020-10-16 Blaž Škrlj , Benjamin Renoust

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…

统计力学 · 物理学 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Community detection in networks is commonly performed using information about interactions between nodes. Recent advances have been made to incorporate multiple types of interactions, thus generalizing standard methods to multilayer…

社会与信息网络 · 计算机科学 2020-10-29 Martina Contisciani , Eleanor Power , Caterina De Bacco

In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include…

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

信号处理 · 电气工程与系统科学 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

Research on graph representation learning has received great attention in recent years. However, most of the studies so far have focused on the embedding of single-layer graphs. The few studies dealing with the problem of representation…

机器学习 · 计算机科学 2022-06-28 Luca Gallo , Vito Latora , Alfredo Pulvirenti

The rapid development of high-throughput technologies has enabled the generation of data from biological or disease processes that span multiple layers, like genomic, proteomic or metabolomic data, and further pertain to multiple sources,…

机器学习 · 统计学 2022-01-25 Subhabrata Majumdar , George Michailidis

Complex networks are made up of vertices and edges. The edges, which may be directed or undirected, are equipped with positive weights. Modeling complex systems that consist of different types of objects leads to multilayer networks, in…

数值分析 · 数学 2024-09-10 Silvia Noschese , Lothar Reichel

Many network systems are composed of interdependent but distinct types of interactions, which cannot be fully understood in isolation. These different types of interactions are often represented as layers, attributes on the edges or as a…

物理与社会 · 物理学 2015-10-13 Tiago P. Peixoto