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Density peaks clustering has become a nova of clustering algorithm because of its simplicity and practicality. However, there is one main drawback: it is time-consuming due to its high computational complexity. Herein, a density peaks…

Machine Learning · Statistics 2022-07-21 Yunxiao Shan , Shu Li , Fuxiang Li , Yuxin Cui , Shuai Li , Ming Zhou , Xiang Li

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

Machine Learning · Computer Science 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

Recently, a number of works have studied clustering strategies that combine classical clustering algorithms and deep learning methods. These approaches follow either a sequential way, where a deep representation is learned using a deep…

Machine Learning · Computer Science 2019-06-13 Severine Affeldt , Lazhar Labiod , Mohamed Nadif

We propose a new approach -- called PK-clustering -- to help social scientists create meaningful clusters in social networks. Many clustering algorithms exist but most social scientists find them difficult to understand, and tools do not…

Human-Computer Interaction · Computer Science 2021-05-18 Alexis Pister , Paolo Buono , Jean-Daniel Fekete , Catherine Plaisant , Paola Valdivia

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

Data Structures and Algorithms · Computer Science 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

Methodology · Statistics 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

Methodology · Statistics 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

Sparse subspace clustering (SSC) is a state-of-the-art method for segmenting a set of data points drawn from a union of subspaces into their respective subspaces. It is now well understood that SSC produces subspace-preserving data affinity…

Signal Processing · Electrical Eng. & Systems 2018-11-22 Chun-Guang Li , Chong You , René Vidal

Spike sorting plays an irreplaceable role in understanding brain codes. Traditional spike sorting technologies perform feature extraction and clustering separately after spikes are well detected. However, it may often cause many additional…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Libo Huang , Lu Gan , Bingo Wing-Kuen Ling

Clustering performs an essential role in many real world applications, such as market research, pattern recognition, data analysis, and image processing. However, due to the high dimensionality of the input feature values, the data being…

Machine Learning · Computer Science 2021-02-16 Si Lu , Ruisi Li

In cluster analysis, a common first step is to scale the data aiming to better partition them into clusters. Even though many different techniques have throughout many years been introduced to this end, it is probably fair to say that the…

Machine Learning · Computer Science 2023-05-30 Eduardo J. Aguilar , Valmir C. Barbosa

Unsupervised learning of time series data, also known as temporal clustering, is a challenging problem in machine learning. Here we propose a novel algorithm, Deep Temporal Clustering (DTC), to naturally integrate dimensionality reduction…

Machine Learning · Computer Science 2018-02-06 Naveen Sai Madiraju , Seid M. Sadat , Dimitry Fisher , Homa Karimabadi

The capability of classifying and clustering a desired set of data is an essential part of building knowledge from data. However, as the size and dimensionality of input data increases, the run-time for such clustering algorithms is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-25 Hadi Mardani Kamali

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

Machine Learning · Statistics 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

In the Subspace Clustering with Missing Data (SCMD) problem, we are given a collection of n partially observed d-dimensional vectors. The data points are assumed to be concentrated near a union of low-dimensional subspaces. The goal of SCMD…

Optimization and Control · Mathematics 2023-09-28 Akhilesh Soni , Jeff Linderoth , Jim Luedtke , Daniel Pimentel-Alarcon

This paper aims at developing a clustering approach with spectral images directly from CASSI compressive measurements. The proposed clustering method first assumes that compressed measurements lie in the union of multiple low-dimensional…

Image and Video Processing · Electrical Eng. & Systems 2019-11-06 Jianchen Zhu , Tong Zhang , Shengjie Zhao , Carlos Hinojosa , Zengli Liu , Gonzalo R. Arce

In this paper, we propose a strategy to mitigate the problem of inefficient clustering performance by introducing data augmentation as an auxiliary plug-in. Classical clustering techniques such as K-means, Gaussian mixture model and…

Machine Learning · Computer Science 2021-07-09 Shashidhar Veerappa Kudari , Akshaykumar Gunari , Adarsh Jamadandi , Ramesh Ashok Tabib , Uma Mudenagudi

The high dimensional and semantically complex nature of textual Big data presents significant challenges for text clustering, which frequently lead to suboptimal groupings when using conventional techniques like k-means or hierarchical…

Computation and Language · Computer Science 2025-08-25 Mohammad Wali Ur Rahman , Ric Nevarez , Lamia Tasnim Mim , Salim Hariri

Clustering of high-dimensional data sets is a growing need in artificial intelligence, machine learning and pattern recognition. In this paper, we propose a new clustering method based on a combinatorial-topological approach applied to…

Machine Learning · Computer Science 2025-03-12 Mauricio Toledo-Acosta , Luis Ángel Ramos-García , Jorge Hermosillo-Valadez

We introduce a density-based clustering method called skeleton clustering that can detect clusters in multivariate and even high-dimensional data with irregular shapes. To bypass the curse of dimensionality, we propose surrogate density…

Machine Learning · Statistics 2023-03-09 Zeyu Wei , Yen-Chi Chen