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Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

Methodology · Statistics 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Spectral clustering is one of the most popular algorithms to group high dimensional data. It is easy to implement and computationally efficient. Despite its popularity and successful applications, its theoretical properties have not been…

Statistics Theory · Mathematics 2020-08-07 Matthias Löffler , Anderson Y. Zhang , Harrison H. Zhou

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

Machine Learning · Computer Science 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

Machine Learning · Computer Science 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

Machine Learning · Statistics 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

Most of the research on clustering ensemble focuses on designing practical consistency learning algorithms.To solve the problems that the quality of base clusters varies and the low-quality base clusters have an impact on the performance of…

Machine Learning · Computer Science 2024-11-04 Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

Generative approaches to clustering provide information on geometric properties of clusters, whereas discriminative approaches provide boundaries between clusters. Ideas from both approaches are incorporated to present a fully unsupervised,…

Machine Learning · Statistics 2026-04-28 Mackenzie R. Neal , Paul D. McNicholas , Arthur White

This study concentrates on clustering problems and aims to find compact clusters that are informative regarding the outcome variable. The main goal is partitioning data points so that observations in each cluster are similar and the outcome…

Neural and Evolutionary Computing · Computer Science 2022-01-27 Zahra Ghasemi , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

There is an extensive set of methods to determine sparse sources from mixtures where the mixing coefficients are unknown. Each method involves plotting N sets of mixed data against each other in N-dimensional space. In the approach adopted…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Malcolm Woolfson

Objective: The main objective of this paper is to construct a distributed clustering algorithm based upon spatial data correlation among sensor nodes and perform data accuracy for each distributed cluster at their respective cluster head…

Networking and Internet Architecture · Computer Science 2011-08-15 Jyotirmoy Karjee , H. S Jamadagni

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Vibration-based condition monitoring systems are receiving increasing attention due to their ability to accurately identify different conditions by capturing dynamic features over a broad frequency range. However, there is little research…

Machine Learning · Computer Science 2023-05-12 Philipp Sepin , Jana Kemnitz , Safoura Rezapour Lakani , Daniel Schall

We propose the DPSM method, a density-based node clustering approach that automatically determines the number of clusters and can be applied in both data space and graph space. Unlike traditional density-based clustering methods, which…

Machine Learning · Computer Science 2024-11-05 Feiping Nie , Yitao Song , Jingjing Xue , Rong Wang , Xuelong Li

Fuzzy clustering has become a widely used data mining technique and plays an important role in grouping, traversing and selectively using data for user specified applications. The deterministic Fuzzy C-Means (FCM) algorithm may result in…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

The performance of spectral clustering heavily relies on the quality of affinity matrix. A variety of affinity-matrix-construction (AMC) methods have been proposed but they have hyperparameters to determine beforehand, which requires strong…

Machine Learning · Computer Science 2023-02-07 Jicong Fan , Yiheng Tu , Zhao Zhang , Mingbo Zhao , Haijun Zhang

Recent spectral clustering methods are a propular and powerful technique for data clustering. These methods need to solve the eigenproblem whose computational complexity is $O(n^3)$, where $n$ is the number of data samples. In this paper, a…

Machine Learning · Computer Science 2007-11-26 Chunjing Xu , Jianzhuang Liu , Xiaoou Tang

Clustering data is an unsupervised learning approach that aims to divide a set of data points into multiple groups. It is a crucial yet demanding subject in machine learning and data mining. Its successful applications span various fields.…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Seok Bin Son , Soohyun Park , Joongheon Kim

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

Statistics Theory · Mathematics 2018-12-27 Zhixin Zhou , Arash A. Amini

We propose a joint channel estimation and signal detection technique for the uplink non-orthogonal multiple access using an unsupervised clustering approach. We apply the Gaussian mixture model to cluster received signals and accordingly…

Signal Processing · Electrical Eng. & Systems 2020-10-08 Ayoob Salari , Mahyar Shirvanimoghaddam , Muhammad Basit Shahab , Reza Arablouei , Sarah Johnson
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