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The modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

数据分析、统计与概率 · 物理学 2007-12-12 Michael J. Barber

Bipartite networks provide an effective resource for representing, characterizing, and modeling several abstract and real-world systems and structures involving binary relations, which include food webs, social interactions, and…

社会与信息网络 · 计算机科学 2024-02-01 Alexandre Benatti , Luciano da F. Costa

Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite…

物理与社会 · 物理学 2014-09-16 Chang Chang , Chao Tang

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

社会与信息网络 · 计算机科学 2020-05-20 Rudy Arthur

Our ability to control complex systems is a fundamental challenge of contemporary science. Recently introduced tools to identify the driver nodes, nodes through which we can achieve full control, predict the existence of multiple control…

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

社会与信息网络 · 计算机科学 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

Ecological networks are often composed of different sub-communities (often referred to as modules). Identifying such modules has the potential to develop a better understanding of the assembly of ecological communities and to investigate…

定量方法 · 定量生物学 2014-03-14 Carsten F. Dormann , Rouven Strauss

There are two main categories of networks that are investigated in the complexity physics community: monopartite and bipartite networks. In this letter, we report a general finding between these two classes. If a random bipartite network is…

物理与社会 · 物理学 2023-04-25 Izat B. Baybusinov , Enrico Maria Fenoaltea , Yi-Cheng Zhang

A recent development in data-driven modelling addresses the problem of identifying dynamic models of interconnected systems, represented as linear dynamic networks. For these networks the notion network identifiability has been introduced…

系统与控制 · 计算机科学 2018-03-08 Harm Weerts , Paul M. J. Van den Hof , Arne Dankers

Bipartite networks are a useful tool for representing and investigating interaction networks. We consider methods for identifying communities in bipartite networks. Intuitive notions of network community groups are made explicit using…

物理与社会 · 物理学 2009-11-13 Michael J. Barber , Margarida Faria , Ludwig Streit , Oleg Strogan

We introduce and study random bipartite networks with hidden variables. Nodes in these networks are characterized by hidden variables which control the appearance of links between node pairs. We derive analytic expressions for the degree…

数据分析、统计与概率 · 物理学 2015-03-19 Maksim Kitsak , Dmitri Krioukov

Networks are a general language for representing relational information among objects. An effective way to model, reason about, and summarize networks, is to discover sets of nodes with common connectivity patterns. Such sets are commonly…

社会与信息网络 · 计算机科学 2014-01-30 Jaewon Yang , Julian McAuley , Jure Leskovec

Bipartite networks are a common type of network data in which there are two types of vertices, and only vertices of different types can be connected. While bipartite networks exhibit community structure like their unipartite counterparts,…

社会与信息网络 · 计算机科学 2014-07-14 Daniel B. Larremore , Aaron Clauset , Abigail Z. Jacobs

Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

数值分析 · 数学 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

The identification of influential nodes in complex network can be very challenging. If the network has a community structure, centrality measures may fail to identify the complete set of influential nodes, as the hubs and other central…

社会与信息网络 · 计算机科学 2015-03-23 J. Liebig , A. Rao

Modular structure is ubiquitous in real-world complex networks, and its detection is important because it gives insights in the structure-functionality Modular structure is ubiquitous in real-world complex networks, and its detection is…

数据分析、统计与概率 · 物理学 2008-05-29 Alex Arenas , Alberto Fernandez , Sergio Gomez

One important issue implied by the finite nature of real-world networks regards the identification of their more external (border) and internal nodes. The present work proposes a formal and objective definition of these properties, founded…

物理与社会 · 物理学 2015-05-13 Bruno A. N. Travencolo , Matheus P. Viana , Luciano da F. Costa

We present a novel method for detecting communities in bipartite networks. Based on an extension of the $k$-clique community detection algorithm, we demonstrate how modular structure in bipartite networks presents itself as overlapping…

数据分析、统计与概率 · 物理学 2008-07-22 Sune Lehmann , Martin Schwartz , Lars Kai Hansen

Many real-world complex networks actually have a bipartite nature: their nodes may be separated into two classes, the links being between nodes of different classes only. Despite this, and despite the fact that many ad-hoc tools have been…

统计力学 · 物理学 2007-05-23 Matthieu Latapy , Clemence Magnien , Nathalie Del Vecchio

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

机器学习 · 计算机科学 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording
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