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In this paper, we study the information theoretic bounds for exact recovery in sub-hypergraph models for community detection. We define a general model called the $m-$uniform sub-hypergraph stochastic block model ($m-$ShSBM). Under the…

Machine Learning · Statistics 2021-07-07 Jiajun Liang , Chuyang Ke , Jean Honorio

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,…

Data Structures and Algorithms · Computer Science 2015-07-10 Naman Agarwal , Afonso S. Bandeira , Konstantinos Koiliaris , Alexandra Kolla

This article considers the problem of community detection in sparse dynamical graphs in which the community structure evolves over time. A fast spectral algorithm based on an extension of the Bethe-Hessian matrix is proposed, which benefits…

Social and Information Networks · Computer Science 2020-10-27 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

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…

Machine Learning · Statistics 2025-01-28 Dian Jin , Yuqian Zhang , Qiaosheng Zhang

In this work, we propose an original method for aggregating multiple clustering coming from different sources of information. Each partition is encoded by a co-membership matrix between observations. Our approach uses a mixture of…

Machine Learning · Computer Science 2024-01-10 Kylliann De Santiago , Marie Szafranski , Christophe Ambroise

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

Clustering of single-cell RNA sequencing (scRNA-seq) datasets can give key insights into the biological functions of cells. Therefore, it is not surprising that network-based community detection methods (one of the better clustering…

Methodology · Statistics 2026-02-17 Chetkar Jha , Mingyao Li , Ian Barnett

Community detection is an important problem when processing network data. Traditionally, this is done by exploiting the connections between nodes, but connections can be too sparse to detect communities in many real datasets. Node…

Methodology · Statistics 2023-06-29 Yaofang Hu , Wanjie Wang

Spectral algorithms are classic approaches to clustering and community detection in networks. However, for sparse networks the standard versions of these algorithms are suboptimal, in some cases completely failing to detect communities even…

Social and Information Networks · Computer Science 2014-01-20 Florent Krzakala , Cristopher Moore , Elchanan Mossel , Joe Neeman , Allan Sly , Lenka Zdeborová , Pan Zhang

The emerging problem of joint community detection and group synchronization, with applications in signal processing and machine learning, has been extensively studied in recent years. Previous research has predominantly focused on a…

Information Theory · Computer Science 2025-06-06 Yifeng Fan , Zhizhen Zhao

To overcome the quadratic cost of self-attention, recent works have proposed various sparse attention modules, most of which fall under one of two groups: 1) sparse attention under a hand-crafted patterns and 2) full attention followed by a…

Machine Learning · Computer Science 2022-10-28 Sungjun Cho , Seonwoo Min , Jinwoo Kim , Moontae Lee , Honglak Lee , Seunghoon Hong

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 $p$…

Statistics Theory · Mathematics 2023-01-13 Zongming Ma , Sagnik Nandy

Reconstruction-based methods are a dominant paradigm in time series anomaly detection (TSAD), however, their near-universal reliance on Mean Squared Error (MSE) loss results in statistically flawed reconstruction residuals. This fundamental…

Machine Learning · Computer Science 2026-05-12 Wenlong Shang , Shihao Tian , Xutong Wan , Peng Chang

Dense Retrieval Models (DRMs) are a prominent development in Information Retrieval (IR). A key challenge with these neural Transformer-based models is that they often struggle to generalize beyond the specific tasks and domains they were…

Information Retrieval · Computer Science 2025-10-20 Effrosyni Sokli , Pranav Kasela , Georgios Peikos , Gabriella Pasi

We investigate the clustering performances of the relaxed $K$means in the setting of sub-Gaussian Mixture Model (sGMM) and Stochastic Block Model (SBM). After identifying the appropriate signal-to-noise ratio (SNR), we prove that the…

Statistics Theory · Mathematics 2019-04-22 Christophe Giraud , Nicolas Verzelen

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Noise originating from several sources in a RF environment degrades the performance of communication systems. In wideband systems, such as cognitive radios, noise at the receiver can originate from non-linearity present in the RF front end,…

Signal Processing · Electrical Eng. & Systems 2018-01-31 Adnan Quadri , Mohsen Riahi Manesh , Naima Kaabouch

Using a Bayesian approach, we consider the problem of recovering sparse signals under additive sparse and dense noise. Typically, sparse noise models outliers, impulse bursts or data loss. To handle sparse noise, existing methods…

Machine Learning · Statistics 2015-01-13 Martin Sundin , Saikat Chatterjee , Magnus Jansson

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

We consider a blind identification problem in which we aim to recover a statistical model of a network without knowledge of the network's edges, but based solely on nodal observations of a certain process. More concretely, we focus on…

Machine Learning · Computer Science 2020-05-08 Michael T. Schaub , Santiago Segarra , John N. Tsitsiklis
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