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We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

Machine Learning · Computer Science 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester

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

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

Machine Learning · Computer Science 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

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

Spectral algorithms are graph partitioning algorithms that partition a node set of a graph into groups by using a spectral embedding map. Clustering techniques based on the algorithms are referred to as spectral clustering and are widely…

Machine Learning · Computer Science 2021-09-08 Tomohiko Mizutani

We present a fast general-purpose algorithm for high-throughput clustering of data "with a two dimensional organization". The algorithm is designed to be implemented with FPGAs or custom electronics. The key feature is a processing time…

Instrumentation and Detectors · Physics 2015-05-14 A. Annovi , M. Beretta

We propose an algorithm for clustering high dimensional data. If $P$ features for $N$ objects are represented in an $N\times P$ matrix ${\bf X}$, where $N\ll P$, the method is based on exploiting the cluster-dependent structure of the…

Machine Learning · Statistics 2018-11-05 Shahina Rahman , Valen E. Johnson

In this paper we present a new dynamical systems algorithm for clustering in hyperspectral images. The main idea of the algorithm is that data points are \`pushed\' in the direction of increasing density and groups of pixels that end up in…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 William F. Basener , Alexey Castrodad , David Messinger , Jennifer Mahle , Paul Prue

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

Medical image segmentation demands an efficient and robust segmentation algorithm against noise. The conventional fuzzy c-means algorithm is an efficient clustering algorithm that is used in medical image segmentation. But FCM is highly…

Computer Vision and Pattern Recognition · Computer Science 2010-04-13 S. Zulaikha Beevi , M. Mohammed Sathik , K. Senthamaraikannan

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Spectral clustering is a popular method for effectively clustering nonlinearly separable data. However, computational limitations, memory requirements, and the inability to perform incremental learning challenge its widespread application.…

Machine Learning · Computer Science 2023-11-15 Jo-Chun Chen , Hung-Hsuan Chen

Clustering data objects into homogeneous groups is one of the most important tasks in data mining. Spectral clustering is arguably one of the most important algorithms for clustering, as it is appealing for its theoretical soundness and is…

Machine Learning · Statistics 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

The paper focuses on Image Compression, explaining efficient approaches based on Frequent Pattern Mining(FPM). The proposed compression mechanism is based on clustering similar pixels in the image and thus using cluster identifiers in image…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Avinash Kadimisetty , C. Oswald , B. Sivalselvan

Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

Machine Learning · Computer Science 2021-02-02 Farhad Pourkamali-Anaraki

Mass spectrometry-based proteomics is a key enabler for personalized healthcare, providing a deep dive into the complex protein compositions of biological systems. This technology has vast applications in biotechnology and biomedicine but…

Quantitative Methods · Quantitative Biology 2023-11-23 Sumukh Pinge , Weihong Xu , Jaeyoung Kang , Tianqi Zhang , Neima Moshiri , Wout Bittremieux , Tajana Rosing

In this paper, we introduce an algorithm for performing spectral clustering efficiently. Spectral clustering is a powerful clustering algorithm that suffers from high computational complexity, due to eigen decomposition. In this work, we…

Machine Learning · Computer Science 2017-04-11 Ershad Banijamali , Ali Ghodsi

Single-molecule spectroscopy (SMS) is an exceptionally sensitive technique, but its inherently limited photon budget produces noisy data that can readily lead to subjective analyses, fitting errors, and reduced statistical power, obscuring…

Biological Physics · Physics 2026-03-19 Michael Lovemore , Joshua Botha , Bertus van Heerden , Tjaart Kruger

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

Machine Learning · Statistics 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif
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