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Mesoscale structures are an integral part of the abstraction and analysis of complex systems. They reveal a node's function in the network, and facilitate our understanding of the network dynamics. For example, they can represent…

统计方法学 · 统计学 2023-01-27 Luka V. Petrović , Vincenzo Perri

This article describes the application of recently introduced complex networks concepts and methods to the characterization and analysis of cortical bone structure. Three-dimensional reconstructions of the system of channels underlying bone…

组织与器官 · 定量生物学 2007-05-23 Luciano da Fontoura Costa , Matheus Palhares Viana , Marcelo Emilio Beletti

We propose a new method to recover global information about a network of interconnected dynamical systems based on observations made at a small number (possibly one) of its nodes. In contrast to classical identification of full graph…

动力系统 · 数学 2016-10-18 A. Mauroy , J. Hendrickx

Discovering and tracking communities in time-varying networks is an important task in network science, motivated by applications in fields ranging from neuroscience to sociology. In this work, we characterize the celebrated family of…

社会与信息网络 · 计算机科学 2024-12-11 Jacob Hume , Laura Balzano

This article reviews and evaluates models of network evolution based on the notion of structural diversity. We show that diversity is an underlying theme of three principles of network evolution: the preferential attachment model,…

社会与信息网络 · 计算机科学 2020-09-22 Jérôme Kunegis

The analysis of the dynamics on complex networks is closely connected to structural features of the networks. Features like, for instance, graph-cores and node degrees have been studied ubiquitously. Here we introduce the D-spectrum of a…

组合数学 · 数学 2019-12-17 Ricky X. F. Chen , Christian M. Reidys , Andrei C. Bura

Social network analysis is an important problem in data mining. A fundamental step for analyzing social networks is to encode network data into low-dimensional representations, i.e., network embeddings, so that the network topology…

社会与信息网络 · 计算机科学 2019-04-19 Qiaoyu Tan , Ninghao Liu , Xia Hu

Layered neural networks have greatly improved the performance of various applications including image processing, speech recognition, natural language processing, and bioinformatics. However, it is still difficult to discover or interpret…

机器学习 · 统计学 2017-10-05 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

The discovery of community structure in networks is a problem of considerable interest in recent years. In online social networks, often times, users are simultaneously involved in multiple social media sites, some of which share common…

社会与信息网络 · 计算机科学 2016-08-05 Lin Li , W. M. Campbell

Deep neural network algorithms are difficult to analyze because they lack structure allowing to understand the properties of underlying transforms and invariants. Multiscale hierarchical convolutional networks are structured deep…

机器学习 · 计算机科学 2017-03-14 Jörn-Henrik Jacobsen , Edouard Oyallon , Stéphane Mallat , Arnold W. M. Smeulders

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

物理与社会 · 物理学 2015-05-11 Hui-Jia Li , J J. Daniels

We present a scalable nonparametric Bayesian method to perform network reconstruction from observed functional behavior that at the same time infers the communities present in the network. We show that the joint reconstruction with…

物理与社会 · 物理学 2019-09-23 Tiago P. Peixoto

The network structure (or topology) of a dynamical network is often unavailable or uncertain. Hence, we consider the problem of network reconstruction. Network reconstruction aims at inferring the topology of a dynamical network using…

最优化与控制 · 数学 2018-09-26 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Subgraph densities play a crucial role in network analysis, especially for the identification and interpretation of meaningful substructures in complex graphs. Localized subgraph densities, in particular, can provide valuable insights into…

社会与信息网络 · 计算机科学 2025-05-23 Connor Mattes , Esha Datta , Ali Pinar

The analysis of complex networks permeates all sciences, from biology to sociology. A fundamental, unsolved problem is how to characterize the community structure of a network. Here, using both standard and novel benchmarks, we show that…

分子网络 · 定量生物学 2012-12-24 Rodrigo Aldecoa , Ignacio Marín

We investigate hierarchical structure in various complex systems according to Minimum Spanning Tree methods. Firstly, we investigate stock markets where the graphis obtained from the matrix of correlations coefficient computed between all…

综合金融 · 定量金融 2014-06-13 Andrzej Jarynowski , Andrzej Buda

Analyzing and understanding the structure of complex relational data is important in many applications including analysis of the connectivity in the human brain. Such networks can have prominent patterns on different scales, calling for a…

机器学习 · 统计学 2013-11-22 Mikkel N. Schmidt , Tue Herlau , Morten Mørup

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

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

Network structures are extremely important to the study of political science. Much of the data in its subfields are naturally represented as networks. This includes trade, diplomatic and conflict relationships. The social structure of…

统计方法学 · 统计学 2011-05-05 Drew Conway
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