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Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

数据分析、统计与概率 · 物理学 2016-02-17 Alexander K. Hartmann

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

统计方法学 · 统计学 2025-11-12 Kentaro Fukumoto

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

物理与社会 · 物理学 2012-03-29 Andrea Lancichinetti , Santo Fortunato

We present a $k$-means-based clustering algorithm, which optimizes the mean square error, for given cluster sizes. A straightforward application is balanced clustering, where the sizes of each cluster are equal. In the $k$-means assignment…

机器学习 · 计算机科学 2025-01-28 Mikko I. Malinen , Pasi Fränti

In sketched clustering, a dataset of $T$ samples is first sketched down to a vector of modest size, from which the centroids are subsequently extracted. Advantages include i) reduced storage complexity and ii) centroid extraction complexity…

信息论 · 计算机科学 2019-05-21 Evan Byrne , Antoine Chatalic , Remi Gribonval , Philip Schniter

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

统计理论 · 数学 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

This paper proposes an original approach to cluster multi-component data sets, including an estimation of the number of clusters. From the construction of a minimal spanning tree with Prim's algorithm, and the assumption that the vertices…

机器学习 · 统计学 2009-09-25 Laurent Galluccio , Olivier J. J. Michel , Pierre Comon , Eric Slezak , Alfred O. Hero

Motivated by the problem of computing investment portfolio weightings we investigate various methods of clustering as alternatives to traditional mean-variance approaches. Such methods can have significant benefits from a practical point of…

机器学习 · 计算机科学 2015-02-19 Aldo Pacchiano , Oliver Williams

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

机器学习 · 计算机科学 2024-09-05 Anupriya Vysala , Joseph Gomes

Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster…

计算机视觉与模式识别 · 计算机科学 2016-01-12 Bhaskar Mukhoty , Ruchir Gupta , Y. N. Singh

In sensor networks, it is not always practical to set up a fusion center. Therefore, there is need for fully decentralized clustering algorithms. Decentralized clustering algorithms should minimize the amount of data exchanged between…

机器学习 · 统计学 2018-07-13 Elsa Dupraz , Dominique Pastor , François-Xavier Socheleau

We continue the investigation of problems concerning correlation clustering or clustering with qualitative information, which is a clustering formulation that has been studied recently. The basic setup here is that we are given as input a…

数据结构与算法 · 计算机科学 2007-05-23 Ioannis Giotis , Venkatesan Guruswami

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

A probabilistic clustering algorithm is proposed for the analysis of forensic DNA mixtures in which individual cells are isolated and short tandem repeats are amplified using the polymerase chain reaction to generate single cell…

应用统计 · 统计学 2025-10-14 Robert G. Cowell

3D perception, especially point cloud classification, has achieved substantial progress. However, in real-world deployment, point cloud corruptions are inevitable due to the scene complexity, sensor inaccuracy, and processing imprecision.…

计算机视觉与模式识别 · 计算机科学 2022-06-15 Jiawei Ren , Liang Pan , Ziwei Liu

Nowadays, many machine learning procedures are available on the shelve and may be used easily to calibrate predictive models on supervised data. However, when the input data consists of more than one unknown cluster, and when different…

应用统计 · 统计学 2019-11-18 Aurélie Fisher , Mathilde Mougeot , Sothea Has

Clustering is a widely-used data mining tool, which aims to discover partitions of similar items in data. We introduce a new clustering paradigm, \emph{accordant clustering}, which enables the discovery of (predefined) group level insights.…

机器学习 · 计算机科学 2017-04-11 Amit Dhurandhar , Margareta Ackerman , Xiang Wang

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…

机器学习 · 计算机科学 2023-02-07 Jicong Fan , Yiheng Tu , Zhao Zhang , Mingbo Zhao , Haijun Zhang

This paper presents a very simple but efficient algorithm for 3D line segment detection from large scale unorganized point cloud. Unlike traditional methods which usually extract 3D edge points first and then link them to fit for 3D line…

计算机视觉与模式识别 · 计算机科学 2019-01-10 Xiaohu Lu , Yahui Liu , Kai Li