A unifying view of modal clustering

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-08-01 DOI:10.1093/imaiai/iaac030

Ery Arias-Castro;Wanli Qiao

引用次数: 0

Abstract

Two important non-parametric approaches to clustering emerged in the 1970s: clustering by level sets or cluster tree as proposed by Hartigan, and clustering by gradient lines or gradient flow as proposed by Fukunaga and Hostetler. In a recent paper, we draw a connection between these two approaches, in particular, by showing that the gradient flow provides a way to move along the cluster tree. Here, we argue the case that these two approaches are fundamentally the same. We do so by proposing two ways of obtaining a partition from the cluster tree—each one of them very natural in its own right—and showing that both of them reduce to the partition given by the gradient flow under standard assumptions on the sampling density.

查看原文本刊更多论文

模态聚类的统一观点

20世纪70年代出现了两种重要的非参数聚类方法：Hartigan提出的通过水平集或聚类树进行聚类，以及Fukunaga和Hostetler提出的通过梯度线或梯度流进行聚类。在最近的一篇论文中，我们将这两种方法联系起来，特别是通过展示梯度流提供了一种沿着聚类树移动的方式。在这里，我们认为这两种方法从根本上是相同的。我们提出了两种从聚类树中获得分区的方法——每种方法都非常自然——并表明在采样密度的标准假设下，这两种方法都可以简化为梯度流给出的分区。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.