论文标题
通过距离变形的二维持久性降低尺寸
Dimension Reduction of Two-Dimensional Persistence via Distance Deformations
论文作者
论文摘要
在PD Andreas Ott博士的监督下，本文在Ruprecht-Karls-UniversitätHeidelberg的数学和信息科学学院的硕士学位论文中发展。在具有持久同源性的RNA病毒数据集的时间序列分析的背景下，本文介绍了一种通过将时间信息转换为距离，将二维持久性减少到一维持久性的新方法。
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.
