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The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

社会与信息网络 · 计算机科学 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

We address the question of finding the community structure of a complex network. In an earlier effort [H. Zhou, {\em Phys. Rev. E} (2003)], the concept of network random walking is introduced and a distance measure defined. Here we…

生物物理 · 物理学 2009-11-10 Haijun Zhou

Complex networks play a crucial role in understanding physical, biological, social and technological systems. One of the most relevant features of graphs representing real systems is community structure. In this paper, for a specific…

概率论 · 数学 2024-04-18 Yu Miao , Qing Yin

We consider the problem of fuzzy community detection in networks, which complements and expands the concept of overlapping community structure. Our approach allows each vertex of the graph to belong to multiple communities at the same time,…

物理与社会 · 物理学 2011-11-10 Tamás Nepusz , Andrea Petróczi , László Négyessy , Fülöp Bazsó

Complex networks topologies present interesting and surprising properties, such as community structures, which can be exploited to optimize communication, to find new efficient and context-aware routing algorithms or simply to understand…

数据分析、统计与概率 · 物理学 2009-03-24 V. Nicosia , G. Mangioni , V. Carchiolo , M. Malgeri

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

机器学习 · 统计学 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

Network community detection often relies on optimizing partition quality functions, like modularity. This optimization appears to be a complex problem traditionally relying on discrete heuristics. And although the problem could be…

社会与信息网络 · 计算机科学 2021-03-04 Stanislav Sobolevsky

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

信息论 · 计算机科学 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

We have recently introduced a multistep extension of the greedy algorithm for modularity optimization. The extension is based on the idea that merging l pairs of communities (l>1) at each iteration prevents premature condensation into few…

数据结构与算法 · 计算机科学 2008-09-26 Philipp Schuetz , Amedeo Caflisch

This paper introduces the notion of co-modularity, to co-cluster observations of bipartite networks into co-communities. The task of co-clustering is to group together nodes of one type with nodes of another type, according to the…

统计方法学 · 统计学 2021-11-09 Thomas E. Bartlett

Many networks in nature, society and technology are characterized by a mesoscopic level of organization, with groups of nodes forming tightly connected units, called communities or modules, that are only weakly linked to each other.…

物理与社会 · 物理学 2009-03-11 Andrea Lancichinetti , Santo Fortunato , Janos Kertesz

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

最优化与控制 · 数学 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

Distributed and iterative network utility maximization algorithms, such as the primal-dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal…

最优化与控制 · 数学 2018-12-11 Akhil P T , Rajesh Sundaresan

Graph theoretical analysis of the community structure of networks attempts to identify the communities (or modules) to which each node affiliates. However, this is in most cases an ill-posed problem, as the affiliation of a node to a single…

A new method for identifying communities in networks is proposed. Reference nodes, either selected using a priory information about the network or according to relevant node measurements, are obtained so as to indicate putative communities.…

社会与信息网络 · 计算机科学 2019-11-06 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Modularity is widely used to effectively measure the strength of the disjoint community structure found by community detection algorithms. Although several overlapping extensions of modularity were proposed to measure the quality of…

社会与信息网络 · 计算机科学 2018-07-02 Mingming Chen , Konstantin Kuzmin , Boleslaw K. Szymanski

Community discovery in the social network is one of the tremendously expanding areas which earn interest among researchers for the past one decade. There are many already existing algorithms. However, new seed-based algorithms establish an…

社会与信息网络 · 计算机科学 2018-08-13 Belfin R , E. Grace Mary Kanaga , Piotr Bródka

Networks are a convenient way to represent complex systems of interacting entities. Many networks contain "communities" of nodes that are more densely connected to each other than to nodes in the rest of the network. In this paper, we…

物理与社会 · 物理学 2017-12-27 Marya Bazzi , Mason A. Porter , Stacy Williams , Mark McDonald , Daniel J. Fenn , Sam D. Howison

Identifying strongly connected substructures in large networks provides insight into their coarse-grained organization. Several approaches based on the optimization of a quality function, e.g., the modularity, have been proposed. We present…

数据结构与算法 · 计算机科学 2008-05-02 Philipp Schuetz , Amedeo Caflisch

Many community detection algorithms have been developed to uncover the mesoscopic properties of complex networks. However how good an algorithm is, in terms of accuracy and computing time, remains still open. Testing algorithms on…

物理与社会 · 物理学 2017-08-29 Zhao Yang , René Algesheimer , Claudio Juan Tessone
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