Exploring persistent local homology in topological data analysis

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Brittany Terese Fasy, Bei Wang

Published: 2016, Last Modified: 19 May 2025ICASSP 2016EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Topological data analysis (TDA) has rapidly grown in popularity in recent years. One of the emerging tools is persistent local homology, which can be used to extract local structure from a dataset. In this paper, we provide a survey that explores this new tool, emphasizing its use in data analysis.