论文标题

讨论“事件历史和拓扑数据分析”

Discussion of 'Event History and Topological Data Analysis'

论文作者

Bubenik, Peter

论文摘要

Garside等。使用事件历史方法分析拓扑数据。我们提供了持久同源性的其他背景,以对比Garside等人使用的危险估计器。拓扑数据分析中的传统方法。特别是,前者是一种本地方法,具有优势和缺点,而同源性是全球性的。我们还提供有关持久性景观的更多背景,并展示对此统计数据的更完整使用如何改善其性能。

Garside et al. use event history methods to analyze topological data. We provide additional background on persistent homology to contrast the hazard estimators used by Garside et al. with traditional approaches in topological data analysis. In particular, the former is a local method, which has advantages and disadvantages, while homology is a global. We also provide more background on persistence landscapes and show how a more complete use of this statistic improves its performance.

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