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Clustering Models

机译:聚类分析模型

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摘要

Abstract It is generally accepted that the term “clusterization” (bunch, bundle) was offered by the mathematician R. Trion. Subsequently, a number of terms emerged that are considered synonymous with the term “cluster analysis” or “automatic classification.” Cluster analysis has a very wide range of applications, its methods are used in medicine, chemistry, archeology, marketing, geology, and other disciplines. Clustering consists in grouping similar objects into groups, and this problem is one of the fundamental problems in the field of data analysis. Usually, clustering means the partitioning of a given set of points of a certain metric space into subsets in such a way that close points fall into one group, and distant ones fall into different groups. As will be shown below, this requirement is rather contradictory. Intuitive partitioning “by eye” uses the connectivity of the resulting groups, based on the density of distribution of points. In this paper, we offer a method of clusterization based on this idea.
机译:摘要 人们普遍认为,“聚类化”(聚类,束)一词是由数学家R.Trion提出的。随后,出现了许多术语,这些术语被认为是术语“聚类分析”或“自动分类”的同义词。聚类分析具有非常广泛的应用,其方法应用于医学、化学、考古学、市场营销、地质学等学科。聚类包括将相似的对象分组,这个问题是数据分析领域的基本问题之一。通常,聚类是指将某个度量空间的一组给定点划分为子集,使接近的点落入一组,而较远的点落入不同的组。如下图所示,这一要求是相当矛盾的。直观的“肉眼”分区使用基于点分布密度的结果组的连通性。在本文中,我们提供了一种基于这一思想的聚类方法。

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