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A mixture of common skew-t factor analyzers model is introduced for model-based clustering of high-dimensional data. By assuming common component factor loadings, this model allows clustering to be performed in the presence of a large…

统计方法学 · 统计学 2014-05-05 Paula M. Murray , Paul D. McNicholas , Ryan P. Browne

We consider estimation in a high-dimensional linear model with strongly correlated variables. We propose to cluster the variables first and do subsequent sparse estimation such as the Lasso for cluster-representatives or the group Lasso…

统计方法学 · 统计学 2015-01-14 Peter Bühlmann , Philipp Rütimann , Sara van de Geer , Cun-Hui Zhang

Minimum sum-of-squares clustering (MSSC) is a widely used clustering model, of which the popular K-means algorithm constitutes a local minimizer. It is well known that the solutions of K-means can be arbitrarily distant from the true MSSC…

机器学习 · 计算机科学 2018-12-21 Daniel Gribel , Thibaut Vidal

The paper is focused on the forecasting method for time series groups with the use of algorithms for cluster analysis. $K$-means algorithm is suggested to be a basic one for clustering. The coordinates of the centers of clusters have been…

机器学习 · 计算机科学 2015-09-17 N. N. Astakhova , L. A. Demidova , E. V. Nikulchev

Quantum Clustering is a powerful method to detect clusters in data with mixed density. However, it is very sensitive to a length parameter that is inherent to the Schr\"odinger equation. In addition, linking data points into clusters…

Center-based clustering algorithms (e.g., K-means) are popular for clustering tasks, but they usually struggle to achieve high accuracy on complex datasets. We believe the main reason is that traditional center-based clustering algorithms…

机器学习 · 计算机科学 2025-03-26 Qi Li

A robust clustering method for probabilities in Wasserstein space is introduced. This new "trimmed $k$-barycenters" approach relies on recent results on barycenters in Wasserstein space that allow intensive computation, as required by…

统计方法学 · 统计学 2019-02-06 E. del Barrio , J. A. Cuesta-Albertos , C. Matrán , A. Mayo-Íscar

Clustering categorical data is an integral part of data mining and has attracted much attention recently. In this paper, we present k-ANMI, a new efficient algorithm for clustering categorical data. The k-ANMI algorithm works in a way that…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Estimating the number of clusters (K) is a critical and often difficult task in cluster analysis. Many methods have been proposed to estimate K, including some top performers using resampling approach. When performing cluster analysis in…

统计方法学 · 统计学 2019-09-05 Yujia Li , Xiangrui Zeng , Chien-Wei Lin , George Tseng

We consider the online $k$-median clustering problem in which $n$ points arrive online and must be irrevocably assigned to a cluster on arrival. As there are lower bound instances that show that an online algorithm cannot achieve a…

数据结构与算法 · 计算机科学 2023-03-28 Benjamin Moseley , Heather Newman , Kirk Pruhs

This thesis aims to invent new approaches for making inferences with the k-means algorithm. k-means is an iterative clustering algorithm that randomly assigns k centroids, then assigns data points to the nearest centroid, and updates…

机器学习 · 计算机科学 2024-10-24 Alfred K. Adzika , Prudence Djagba

Commonly-used clustering algorithms usually find ellipsoidal, spherical or other regular-structured clusters, but are more challenged when the underlying groups lack formal structure or definition. Syncytial clustering is the name that we…

统计方法学 · 统计学 2020-07-30 Israel Almodóvar-Rivera , Ranjan Maitra

Coresets have become an invaluable tool for solving $k$-means and kernel $k$-means clustering problems on large datasets with small numbers of clusters. On the other hand, spectral clustering works well on sparse graphs and has recently…

机器学习 · 计算机科学 2025-03-11 Ben Jourdan , Gregory Schwartzman , Peter Macgregor , He Sun

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

计算机视觉与模式识别 · 计算机科学 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

机器学习 · 统计学 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Though mostly used as a clustering algorithm, k-means are originally designed as a quantization algorithm. Namely, it aims at providing a compression of a probability distribution with k points. Building upon [21, 33], we try to investigate…

统计理论 · 数学 2018-01-31 Clément Levrard

K-means is an effective clustering technique used to separate similar data into groups based on initial centroids of clusters. In this paper, Normalization based K-means clustering algorithm(N-K means) is proposed. Proposed N-K means…

机器学习 · 计算机科学 2015-03-04 Deepali Virmani , Shweta Taneja , Geetika Malhotra

An improved version of the sparse multiway kernel spectral clustering (KSC) is presented in this brief. The original algorithm is derived from weighted kernel principal component (KPCA) analysis formulated within the primal-dual…

机器学习 · 计算机科学 2023-10-23 Mihaly Novak , Rocco Langone , Carlos Alzate , Johan Suykens

In this paper, we study a new type of clustering problem, called {\em Chromatic Clustering}, in high dimensional space. Chromatic clustering seeks to partition a set of colored points into groups (or clusters) so that no group contains…

计算几何 · 计算机科学 2012-09-13 Hu Ding , Jinhui Xu

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

数值分析 · 数学 2024-12-24 Guy B. Oldaker , Maria Emelianenko