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arXiv 2212.08960cs.LGcs.NE
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基于自组织映射的双样本检验

Two-sample test based on Self-Organizing Maps

University of Cadiz(加的斯大学)

Alejandro Álvarez-Ayllón, Manuel Palomo-Duarte, Juan-Manuel Dodero

摘要:

机器学习分类器可以用作双样本统计测试。假设每个样本都被分配了不同的标签,并且分类器可以获得比机会更好的结果来区分它们。在这种情况下,我们可以推断这两个样本来自不同的人群。然而,许多类型的模型,如神经网络,对用户来说就像一个黑盒子:它们可以拒绝两个样本来自同一个群体,但它们不能提供对两个样本如何不同的洞察。自组织映射是一种降维方法,最初被设计为一种数据可视化工具,用于显示紧急属性,也可用于分类任务。由于它们可以用作分类器,因此它们也可以用作双样本统计测试。但由于它们的最初目的是可视化,它们也可以提供见解。

英文摘要:

Machine-learning classifiers can be leveraged as a two-sample statistical test. Suppose each sample is assigned a different label and that a classifier can obtain a better-than-chance result discriminating them. In this case, we can infer that both samples originate from different populations. However, many types of models, such as neural networks, behave as a black-box for the user: they can reject that both samples originate from the same population, but they do not offer insight into how both samples differ. Self-Organizing Maps are a dimensionality reduction initially devised as a data visualization tool that displays emergent properties, being also useful for classification tasks. Since they can be used as classifiers, they can be used also as a two-sample statistical test. But since their original purpose is visualization, they can also offer insights.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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