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arXiv 2203.00616math.ATcs.CG
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基于距离变形的二维持久性降维

Dimension Reduction of Two-Dimensional Persistence via Distance Deformations

Maximilian Neumann

摘要:

本文源于我在海德堡大学数学与信息科学学院的硕士论文的应用部分,由PD博士Andreas Ott监督。针对具有持续同源性的RNA病毒数据集的时间序列分析,提出了一种通过将时间信息转换为距离,将二维持续性降为一维持续性的新方法.

英文摘要:

This article grew out of the application part of my Master's thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universität Heidelberg under the supervision of PD Dr. Andreas Ott. In the context of time series analyses of RNA virus datasets with persistent homology, this article introduces a new method for reducing two-dimensional persistence to one-dimensional persistence by transforming time information into distances.

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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