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...

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Vydáno v:	IEEE transactions on pattern analysis and machine intelligence Ročník 42; číslo 1; s. 192 - 202
Hlavní autoři:	Chevyrev, Ilya, Nanda, Vidit, Oberhauser, Harald
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	United States IEEE 01.01.2020 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algebra Bar codes barcodes Bars Data analysis Extraterrestrial measurements Feature maps Homology Kernel kernel learning Mathematical analysis signature features Tensors Topological data analysis Vector space
ISSN:	0162-8828, 1939-3539, 2160-9292, 1939-3539
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