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Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

A common approach for analyzing hypergraphs is to consider the projected adjacency or Laplacian matrices for each order of interactions (e.g., dyadic, triadic, etc.). However, this method can lose information about the hypergraph structure…

Adaptation and Self-Organizing Systems · Physics 2021-07-30 Anastasiya Salova , Raissa M. D'Souza

With the advent of multi-core processors, network-on-chip design has been key in addressing network performances, such as bandwidth, power consumption, and communication delays when dealing with on-chip communication between the increasing…

Emerging Technologies · Computer Science 2018-08-01 Tzyy-Juin Kao , Wolfgang Fink

In wireless communications, transforming network into graphs and processing them using deep learning models, such as Graph Neural Networks (GNNs), is one of the mainstream network optimization approaches. While effective, the generative AI…

Networking and Internet Architecture · Computer Science 2024-05-09 Jiacheng Wang , Yinqiu Liu , Hongyang Du , Dusit Niyato , Jiawen Kang , Haibo Zhou , Dong In Kim

This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned with the dynamical process acting on top of the network. We…

Social and Information Networks · Computer Science 2020-05-08 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

This paper introduces a graph Laplacian regularization in the hyperspectral unmixing formulation. The proposed regularization relies upon the construction of a graph representation of the hyperspectral image. Each node in the graph…

Computer Vision and Pattern Recognition · Computer Science 2014-10-15 Rita Ammanouil , André Ferrari , Cédric Richard

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

Optimization and Control · Mathematics 2023-06-13 Yan Huang , Jinming Xu

The reliable operation of large-scale electric power networks is increasingly challenging, particularly with the integration of stochastic renewable generation. In this work, we address the problem of minimizing network transients by…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Gerald Ogbonna , David Bindel , Lindsay C. Anderson

Building a network architecture must answer to organization needs, but also to two major elements which are the need for dependability and performance. By performance, we must understand the ability to meet an immediate need and the ability…

Networking and Internet Architecture · Computer Science 2022-04-21 Gilbert Moisio

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

A scalable framework is developed to allocate radio resources across a large number of densely deployed small cells with given traffic statistics on a slow timescale. Joint user association and spectrum allocation is first formulated as a…

Information Theory · Computer Science 2017-01-13 Binnan Zhuang , Dongning Guo , Ermin Wei , Michael L. Honig

Spectral analysis has been successfully applied at the detection of community structure of networks, respectively being based on the adjacency matrix, the standard Laplacian matrix, the normalized Laplacian matrix, the modularity matrix,…

Physics and Society · Physics 2010-10-21 Hua-Wei Shen , Xue-Qi Cheng

Graph learning methods have recently been receiving increasing interest as means to infer structure in datasets. Most of the recent approaches focus on different relationships between a graph and data sample distributions, mostly in…

Machine Learning · Computer Science 2020-03-23 Hermina Petric Maretic , Pascal Frossard

Higher-order networks are gaining significant scientific attention due to their ability to encode the many-body interactions present in complex systems. However, higher-order networks have the limitation that they only capture many-body…

Adaptation and Self-Organizing Systems · Physics 2023-12-20 Sanjukta Krishnagopal , Ginestra Bianconi

This work considers communication networks where individual links can be described as MIMO channels. Unlike orthogonal modulation methods (such as the singular-value decomposition), we allow interference between sub-channels, which can be…

Information Theory · Computer Science 2016-11-17 Anatoly Khina , Yuval Kochman , Uri Erez

Dynamical properties of complex networks are related to the spectral properties of the Laplacian matrix that describes the pattern of connectivity of the network. In particular we compute the synchronization time for different types of…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Juan A. Almendral , Albert Díaz-Guilera

In multi-agent systems, strong connectivity of the communication network is often crucial for establishing consensus protocols, which underpin numerous applications in decision-making and distributed optimization. However, this connectivity…

Optimization and Control · Mathematics 2024-11-12 Guilherme Ramos , Diogo Poças , Sérgio Pequito

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Cooperation between satellite and terrestrial wireless networks promises great potential in meeting fast-growing demands for ubiquitous communications coverage. To tackle spectrum scarcity, spectrum sharing is studied for a hybrid…

Information Theory · Computer Science 2026-01-27 Yanmin Wang , Wei Feng , Yunfei Chen , Yongxu Zhu , Shidong Zhou , Cheng-Xiang Wang

In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of `wire' available to connect nodes…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Markus Brede
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