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Spectral clustering is a technique that clusters elements using the top few eigenvectors of their (possibly normalized) similarity matrix. The quality of spectral clustering is closely tied to the convergence properties of these principal…

机器学习 · 统计学 2017-09-05 Purnamrita Sarkar , Peter J. Bickel

Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

机器学习 · 计算机科学 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

We develop an effective nonhierarchical data clustering method using an analogy to the dynamic coarse graining of a stochastic system. Analyzing the eigensystem of an interitem transition matrix identifies fuzzy clusters corresponding to…

数据分析、统计与概率 · 物理学 2009-11-10 Daniel Korenblum , David Shalloway

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

机器学习 · 计算机科学 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

When it comes to clustering nonconvex shapes, two paradigms are used to find the most suitable clustering: minimum cut and maximum density. The most popular algorithms incorporating these paradigms are Spectral Clustering and DBSCAN. Both…

机器学习 · 计算机科学 2019-07-02 Sibylle Hess , Wouter Duivesteijn , Philipp Honysz , Katharina Morik

Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and…

数值分析 · 数学 2010-11-05 Blake Hunter , Thomas Strohmer

In recent years, spectral clustering has become a standard method for data analysis used in a broad range of applications. In this paper we propose a new class of algorithms for multiway spectral clustering based on optimization of a…

机器学习 · 计算机科学 2016-05-05 James Voss , Mikhail Belkin , Luis Rademacher

Clustering is the problem of separating a set of objects into groups (called clusters) so that objects within the same cluster are more similar to each other than to those in different clusters. Spectral clustering is a now well-known…

机器学习 · 计算机科学 2012-11-16 B. Cung , T. Jin , J. Ramirez , A. Thompson , C. Boutsidis , D. Needell

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…

机器学习 · 计算机科学 2021-02-02 Farhad Pourkamali-Anaraki

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

机器学习 · 统计学 2013-09-18 Tai Qin , Karl Rohe

In this paper, a similarity-driven cluster merging method is proposed for unsuper-vised fuzzy clustering. The cluster merging method is used to resolve the problem of cluster validation. Starting with an overspecified number of clusters in…

机器学习 · 计算机科学 2012-07-19 Xuejian Xiong , Kap Chan , Kian Lee Tan

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

机器学习 · 计算机科学 2023-01-24 Yongyu Wang

Clustering is a central tool in biomedical research for discovering heterogeneous patient subpopulations, where group boundaries are often diffuse rather than sharply separated. Traditional methods produce hard partitions, whereas soft…

统计方法学 · 统计学 2026-01-07 Qiuyi Wu , Zihan Zhu , Anru R. Zhang

Spectral clustering is a leading and popular technique in unsupervised data analysis. Two of its major limitations are scalability and generalization of the spectral embedding (i.e., out-of-sample-extension). In this paper we introduce a…

机器学习 · 统计学 2024-11-06 Uri Shaham , Kelly Stanton , Henry Li , Boaz Nadler , Ronen Basri , Yuval Kluger

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

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…

机器学习 · 计算机科学 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

Spectral clustering methods have gained widespread recognition for their effectiveness in clustering high-dimensional data. Among these techniques, constrained spectral clustering has emerged as a prominent approach, demonstrating enhanced…

机器学习 · 计算机科学 2024-04-05 Swarup Ranjan Behera , Vijaya V. Saradhi

The clustering methods have been used in a variety of fields such as image processing, data mining, pattern recognition, and statistical analysis. Generally, the clustering algorithms consider all variables equally relevant or not…

机器学习 · 计算机科学 2021-02-19 Sara Ines Rizo Rodriguez , Francisco de Assis Tenorio de Carvalho

Large textual corpora are often represented by the document-term frequency matrix whose elements are the frequency of terms; however, this matrix has two problems: sparsity and high dimensionality. Four dimension reduction strategies are…

计算与语言 · 计算机科学 2019-09-25 Amir Karami

The conventional clustering algorithms have difficulties in handling the challenges posed by the collection of natural data which is often vague and uncertain. Fuzzy clustering methods have the potential to manage such situations…

信息检索 · 计算机科学 2014-06-09 Satendra kumar , Mamta kathuria , Alok Kumar Gupta , Monika Rani
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