Persistence paths and signature features in topological data analysis

We introduce a new feature map for barcodes as they arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, and to then compute its path signature which takes values in the tensor algebra of that vector space. The composition o...

Полное описание

Библиографические подробности
Главные авторы: Chevyrev, I, Nanda, V, Oberhauser, H
Формат: Journal article
Опубликовано: Institute of Electrical and Electronics Engineers 2018