一种综合的局部深度测量

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-03 DOI:10.1007/s10182-021-00424-6

Lucas Fernandez-Piana, Marcela Svarc

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引用次数: 0

摘要

本文介绍了一种基于一维投影的Banach空间数据的局部深度测量方法——集成对偶局部深度。在这种情况下，分析了深度测量的性质，给出了局部对称的适当定义。此外，对于局部深度和局部深度区域，得到了较强的一致性结果。最后，对描述性数据分析和分类的应用进行了分析，特别关注多元函数数据，在这方面我们获得了非常有希望的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An integrated local depth measure

We introduce the Integrated Dual Local Depth, which is a local depth measure for data in a Banach space based on the use of one-dimensional projections. The properties of a depth measure are analyzed under this setting and a proper definition of local symmetry is given. Moreover, strong consistency results for the local depth and also, for local depth regions are attained. Finally, applications to descriptive data analysis and classification are analyzed, making a special focus on multivariate functional data, where we obtain very promising results.

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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.

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