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Classical approaches in cluster analysis are typically based on a feature space analysis. However, many applications lead to datasets with additional spatial information and a ground truth with spatially coherent classes, which will not…

数值分析 · 数学 2021-04-27 Pascal Fernsel

Hierarchical clustering is a popular method for analyzing data which associates a tree to a dataset. Hartigan consistency has been used extensively as a framework to analyze such clustering algorithms from a statistical point of view.…

机器学习 · 统计学 2015-07-14 Justin Eldridge , Mikhail Belkin , Yusu Wang

Matrix valued data has become increasingly prevalent in many applications. Most of the existing clustering methods for this type of data are tailored to the mean model and do not account for the dependence structure of the features, which…

机器学习 · 统计学 2023-12-07 Inbeom Lee , Siyi Deng , Yang Ning

Gaussian mixture model is very useful in many practical problems. Nevertheless, it cannot be directly generalized to non Euclidean spaces. To overcome this problem we present a spherical Gaussian-based clustering approach for partitioning…

机器学习 · 计算机科学 2017-05-08 Marek Śmieja , Jacek Tabor

We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

最优化与控制 · 数学 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming

Materialized view selection is a non-trivial task. Hence, its complexity must be reduced. A judicious choice of views must be cost-driven and influenced by the workload experienced by the system. In this paper, we propose a framework for…

数据库 · 计算机科学 2016-08-31 Kamel Aouiche , Pierre-Emmanuel Jouve , Jerome Darmont

A data filtering method for cluster analysis is proposed, based on minimizing a least squares function with a weighted $\ell_0$-norm penalty. To overcome the discontinuity of the objective function, smooth non-convex functions are employed…

最优化与控制 · 数学 2017-05-23 Andrea Cristofari

This paper proposes a hierarchical clustering approach for the segmentation of mobile LiDAR point clouds. We perform the hierarchical clustering on unorganized point clouds based on a proximity matrix. The dissimilarity measure in the…

计算机视觉与模式识别 · 计算机科学 2019-06-12 Sheng Xu , Ruisheng Wang , Han Zheng

Similarity scores in face recognition represent the proximity between pairs of images as computed by a matching algorithm. Given a large set of images and the proximities between all pairs, a similarity score space is defined. Cluster…

计算机视觉与模式识别 · 计算机科学 2016-05-20 Jason Grant , Patrick Flynn

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

定量方法 · 定量生物学 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Spatial clustering has been widely used for spatial data mining and knowledge discovery. An ideal multivariate spatial clustering should consider both spatial contiguity and aspatial attributes. Existing spatial clustering approaches may…

机器学习 · 计算机科学 2022-04-01 Yuhao Kang , Kunlin Wu , Song Gao , Ignavier Ng , Jinmeng Rao , Shan Ye , Fan Zhang , Teng Fei

Finite mixture modelling provides a framework for cluster analysis based on parsimonious Gaussian mixture models. Variable or feature selection is of particular importance in situations where only a subset of the available variables provide…

统计计算 · 统计学 2014-11-04 Luca Scrucca , Adrian E. Raftery

We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

信息检索 · 计算机科学 2011-05-03 Fionn Murtagh , Pedro Contreras

This paper presents algorithms for hierarchical, agglomerative clustering which perform most efficiently in the general-purpose setup that is given in modern standard software. Requirements are: (1) the input data is given by pairwise…

机器学习 · 统计学 2011-09-13 Daniel Müllner

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

数据库 · 计算机科学 2020-03-11 Mujahid Sultan

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…

机器学习 · 统计学 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

Clustering is one of the most fundamental problems in data analysis and it has been studied extensively in the literature. Though many clustering algorithms have been proposed, clustering theories that justify the use of these clustering…

机器学习 · 计算机科学 2016-02-22 Cheng-Shang Chang , Wanjiun Liao , Yu-Sheng Chen , Li-Heng Liou

Clustering large spatial databases is an important problem, which tries to find the densely populated regions in a spatial area to be used in data mining, knowledge discovery, or efficient information retrieval. However most algorithms have…

数据库 · 计算机科学 2009-09-25 Mohamed A. El-Zawawy , Mohamed E. El-Sharkawi

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

机器学习 · 统计学 2020-11-13 Joshua Tobin , Mimi Zhang

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

信息检索 · 计算机科学 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas