论文标题

嵌入功能数据:多维缩放和流动学习

Embedding Functional Data: Multidimensional Scaling and Manifold Learning

论文作者

Arias-Castro, Ery, Qiao, Wanli

论文摘要

我们将最初在多维扩展和降低维度降低的领域中发展为功能设置。我们专注于经典缩放和ISOMAP - 在这些领域中起重要作用的原型方法 - 并在功能数据分析的背景下展示它们的使用。在此过程中,我们强调了环境公制扮演的关键作用。

We adapt concepts, methodology, and theory originally developed in the areas of multidimensional scaling and dimensionality reduction for multivariate data to the functional setting. We focus on classical scaling and Isomap -- prototypical methods that have played important roles in these area -- and showcase their use in the context of functional data analysis. In the process, we highlight the crucial role that the ambient metric plays.

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