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相关论文: A spectral method for community detection in moder…

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The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

Based on the classical Degree Corrected Stochastic Blockmodel (DCSBM) model for network community detection problem, we propose two novel approaches: principal component clustering (PCC) and normalized principal component clustering (NPCC).…

机器学习 · 统计学 2020-11-11 Huan Qing , Jingli Wang

We consider the problem of identifying underlying community-like structures in graphs. Towards this end we study the Stochastic Block Model (SBM) on $k$-clusters: a random model on $n=km$ vertices, partitioned in $k$ equal sized clusters,…

数据结构与算法 · 计算机科学 2015-07-10 Naman Agarwal , Afonso S. Bandeira , Konstantinos Koiliaris , Alexandra Kolla

Identifying edge-dense communities that are also well-connected is an important aspect of understanding community structure. Prior work has shown that community detection methods can produce poorly connected communities, and some can even…

社会与信息网络 · 计算机科学 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , Lahari Anne , George Chacko , Tandy Warnow

We investigate privacy-preserving spectral clustering for community detection within stochastic block models (SBMs). Specifically, we focus on edge differential privacy (DP) and propose private algorithms for community recovery. Our work…

社会与信息网络 · 计算机科学 2025-05-12 Antti Koskela , Mohamed Seif , Andrea J. Goldsmith

This paper considers the problem of community detection on multiple potentially correlated graphs from an information-theoretical perspective. We first put forth a random graph model, called the multi-view stochastic block model (MVSBM),…

社会与信息网络 · 计算机科学 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li

Detecting communities in high-dimensional graphs can be achieved by applying random matrix theory where the adjacency matrix of the graph is modeled by a Stochastic Block Model (SBM). However, the SBM makes an unrealistic assumption that…

信号处理 · 电气工程与系统科学 2023-12-08 Robert Malinas , Dogyoon Song , Alfred O. Hero

This article considers spectral community detection in the regime of sparse networks with heterogeneous degree distributions, for which we devise an algorithm to efficiently retrieve communities. Specifically, we demonstrate that a…

机器学习 · 统计学 2021-10-12 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the…

社会与信息网络 · 计算机科学 2013-11-06 Arash A. Amini , Aiyou Chen , Peter J. Bickel , Elizaveta Levina

The integration of network information and node attribute information has recently gained significant attention in the community detection literature. In this work, we consider community detection in the Contextual Labeled Stochastic Block…

机器学习 · 统计学 2025-01-28 Dian Jin , Yuqian Zhang , Qiaosheng Zhang

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

统计方法学 · 统计学 2020-03-02 Jesús Arroyo , Elizaveta Levina

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

社会与信息网络 · 计算机科学 2024-12-06 Tianjun Ke , Zhiyu Xu

In this article, we study spectral methods for community detection based on $ \alpha$-parametrized normalized modularity matrix hereafter called $ {\bf L}_\alpha $ in heterogeneous graph models. We show, in a regime where community…

机器学习 · 统计学 2016-11-04 Hafiz Tiomoko Ali , Romain Couillet

We consider the sparse stochastic block model in the case where the degrees are uninformative. The case where the two communities have approximately the same size has been extensively studied and we concentrate here on the community…

概率论 · 数学 2017-04-04 Francesco Caltagirone , Marc Lelarge , Léo Miolane

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 consider the problem of estimating overlapping community memberships in a network, where each node can belong to multiple communities. More than a few communities per node are difficult to both estimate and interpret, so we focus on…

社会与信息网络 · 计算机科学 2021-06-23 Jesús Arroyo , Elizaveta Levina

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

机器学习 · 统计学 2013-09-18 Tai Qin , Karl Rohe

Designing effective algorithms for community detection is an important and challenging problem in {\em large-scale} graphs, studied extensively in the literature. Various solutions have been proposed, but many of them are centralized with…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

社会与信息网络 · 计算机科学 2024-03-01 Guillaume Braun , Masashi Sugiyama

Community detection in graphs that are generated according to stochastic block models (SBMs) has received much attention lately. In this paper, we focus on the binary symmetric SBM -- in which a graph of $n$ vertices is randomly generated…

最优化与控制 · 数学 2021-09-28 Peng Wang , Zirui Zhou , Anthony Man-Cho So