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This article discusses how concepts and methods of complex networks can be applied to real-time imaging and computer vision. After a brief introduction of complex networks basic concepts, their use as means to represent and characterize…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Luciano da Fontoura Costa

The study of complex networks that account for different types of interactions has become a subject of interest in the last few years, specially because its representational power in the description of users interactions in diverse online…

Physics and Society · Physics 2015-09-17 Albert Solé-Ribalta , Clara Granell , Sergio Gómez , Alex Arenas

Due to the complexity of the human body, most diseases present a high inter-personal variability in the way they manifest, i.e. in their phenotype, which has important clinical repercussions - as for instance the difficulty in defining…

Physics and Society · Physics 2018-06-06 Massimiliano Zanin , Juan Manuel Tuñas , Ernestina Menasalvas

Multilayer networks provide a framework to study complex systems with multiple types of interactions, multiple dynamical processes, and/or multiple subsystems. When studying a dynamical process on a multilayer network, it is important to…

Physics and Society · Physics 2025-09-25 Suman S. Kulkarni , Christopher W. Lynn , Mason A. Porter , Dani S. Bassett

The past decade has seen tremendous growth in the field of Complex Social Networks. Several network generation models have been extensively studied to develop an understanding of how real world networks evolve over time. Two important…

Social and Information Networks · Computer Science 2017-01-23 Muhammad Qasim Pasta , Faraz Zaidi

The potential of applying diffusion models (DMs) for multiple antenna communications is discussed. A unified framework of applying DM for multiple antenna tasks is first proposed. Then, the tasks are innovatively divided into two…

Signal Processing · Electrical Eng. & Systems 2025-02-05 Jia Guo , Xiaoxia Xu , Yuanwei Liu , Arumugam Nallanathan

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

The recently introduced complex active optical network (LANER) generalizes the concept of laser system to a collection of links, building a bridge with random-laser physics and quantum-graphs theory. So far, LANERs have been studied with a…

Adaptation and Self-Organizing Systems · Physics 2020-07-15 Giovanni Giacomelli , Antonio Politi , Serhiy Yanchuk

Real networks often form interacting parts of larger and more complex systems. Examples can be found in different domains, ranging from the Internet to structural and functional brain networks. Here, we show that these multiplex systems are…

Physics and Society · Physics 2017-09-11 Kaj-Kolja Kleineberg , Marian Boguna , M. Angeles Serrano , Fragkiskos Papadopoulos

Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

Methodology · Statistics 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe

Community structures in collaboration networks reflect the natural tendency of individuals to organize their work in groups in order to better achieve common goals. In most of the cases, individuals exploit their connections to introduce…

Physics and Society · Physics 2016-01-29 Federico Battiston , Jacopo Iacovacci , Vincenzo Nicosia , Ginestra Bianconi , Vito Latora

The abundance of data affords researchers to pursue more powerful computational tools to learn the dynamics of complex system, such as neural networks, engineered systems and social networks. Traditional machine learning approaches capture…

Machine Learning · Computer Science 2024-05-16 Yan Shen , Fan Yang , Mingchen Gao , Wen Dong

Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities in mutual interactions are grouped in…

Physics and Society · Physics 2018-11-21 Giulia Cencetti , Franco Bagnoli , Giorgio Battistelli , Luigi Chisci , Duccio Fanelli

We introduce a general procedure for directly ascertaining how many independent stochastic sources exist in a complex system modeled through a set of coupled Langevin equations of arbitrary dimension. The procedure is based on the…

Data Analysis, Statistics and Probability · Physics 2013-06-03 V. V. Vasconcelos , F. Raischel , M. Haase , J. Peinke , M. Wächter , P. G. Lind , D. Kleinhans

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

Statistical Mechanics · Physics 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

This paper provides the analysis for structural and functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced, and local and global dynamic…

Physics and Society · Physics 2018-07-18 Olexandr Polishchuk

With the emerging of new networks, such as wireless sensor networks, vehicle networks, P2P networks, cloud computing, mobile Internet, or social networks, the network dynamics and complexity expands from system design, hardware, software,…

Social and Information Networks · Computer Science 2013-05-07 Jianguo Ding , Pascal Bouvry

This chapter reviews the purpose and use of models from the field of complex systems and, in particular, the implications of trying to use models to understand or make decisions within complex situations, such as policy makers usually face.…

Multiagent Systems · Computer Science 2013-11-25 Bruce Edmonds , Carlos Gershenson