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In this paper, we study community detection when we observe $m$ sparse networks and a high dimensional covariate matrix, all encoding the same community structure among $n$ subjects. In the asymptotic regime where the number of features $p$…

统计理论 · 数学 2023-01-13 Zongming Ma , Sagnik Nandy

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

统计理论 · 数学 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Detection of interesting (e.g., coherent or anomalous) clusters has been studied extensively on plain or univariate networks, with various applications. Recently, algorithms have been extended to networks with multiple attributes for each…

机器学习 · 计算机科学 2018-09-21 Feng Chen , Baojian Zhou , Adil Alim , Liang Zhao

In the present paper, we studied a Dynamic Stochastic Block Model (DSBM) under the assumptions that the connection probabilities, as functions of time, are smooth and that at most $s$ nodes can switch their class memberships between two…

统计方法学 · 统计学 2017-05-04 Marianna Pensky , Teng Zhang

This paper focuses on the sparse subspace clustering problem, and develops an online algorithmic solution to cluster data points on-the-fly, without revisiting the whole dataset. The strategy involves an online solution of a sparse…

最优化与控制 · 数学 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

Complex systems in nature and in society are often represented as networks, describing the rich set of interactions between objects of interest. Many deterministic and probabilistic clustering methods have been developed to analyze such…

统计方法学 · 统计学 2015-03-13 Pierre Latouche , Etienne Birmelé , Christophe Ambroise

Community detection in multi-layer undirected networks has attracted considerable attention in recent years. However, multi-layer directed networks are common in the real world, and existing community detection methods often either ignore…

社会与信息网络 · 计算机科学 2025-02-28 Huan Qing

We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

社会与信息网络 · 计算机科学 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Modeling relations between individuals is a classical question in social sciences, ecology, etc. In order to uncover a latent structure in the data, a popular approach consists in clustering individuals according to the observed patterns of…

统计方法学 · 统计学 2020-02-28 Avner Bar-Hen , Pierre Barbillon , Sophie Donnet

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

机器学习 · 计算机科学 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

Most density based stream clustering algorithms separate the clustering process into an online and offline component. Exact summarized statistics are being employed for defining micro-clusters or grid cells during the online stage followed…

数据库 · 计算机科学 2016-12-09 Andrei Sorin Sabau

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

For community detection problem, spectral clustering is a widely used method for detecting clusters in networks. In this paper, we propose an improved spectral clustering (ISC) approach under the degree corrected stochastic block model…

机器学习 · 统计学 2020-11-13 Huan Qing , Jingli Wang

In complex network research clique percolation, introduced by Palla et al., is a deterministic community detection method, which allows for overlapping communities and is purely based on local topological properties of a network. Here we…

物理与社会 · 物理学 2009-11-13 Jussi M. Kumpula , Mikko Kivela , Kimmo Kaski , Jari Saramaki

This paper investigates the problem of estimating sparse channels in massive MIMO systems. Most wireless channels are sparse with large delay spread, while some channels can be observed having sparse common support (SCS) within a certain…

信息论 · 计算机科学 2017-04-24 Zhengdao Yuan , Chuanzong Zhang , Zhongyong Wang , Qinghua Guo

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

计算机视觉与模式识别 · 计算机科学 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Deep Subspace Clustering Networks (DSC) provide an efficient solution to the problem of unsupervised subspace clustering by using an undercomplete deep auto-encoder with a fully-connected layer to exploit the self expressiveness property.…

计算机视觉与模式识别 · 计算机科学 2020-11-18 Jeya Maria Jose Valanarasu , Vishal M. Patel

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

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

机器学习 · 计算机科学 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

Finding communities in networks is a problem that remains difficult, in spite of the amount of attention it has recently received. The Stochastic Block-Model (SBM) is a generative model for graphs with "communities" for which, because of…

机器学习 · 统计学 2021-04-22 Yali Wan , Marina Meila