Gaussian Persistence Curves

doi:10.1007/s42519-025-00535-2

2026-01-23

PRE

DOI：10.1007/s42519-025-00535-2

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摘要

En 中文

拓扑数据分析（TDA）是数学、统计学和计算机科学/数据科学交叉领域的一个新兴领域。TDA的基石是持久同调，它产生一种称为持久性图的拓扑信息摘要。为了利用机器学习和深度学习方法，这些图通过转化为函数进行总结。在本文中，我们研究了称为高斯持久曲线的一类光滑、一维函数摘要的稳定性和单射性。

Keyword:

Topological data analysis

Persistence curves

Stability

Injectivity

期刊

Journal of Statistical Theory and Practice

IF:

0.9

论文数:

被引数:

机构

University of North Carolina

学者数:

5.4K

论文数: 2.5K

被引数: 337

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