Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric

DOI10.1090/proc/15451zbMath1467.55003arXiv1910.13935OpenAlexW3122545378MaRDI QIDQ4985400

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Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13935

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items (4)

Approximating continuous functions on persistence diagrams using template functions ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ The space of persistence diagrams fails to have Yu's property A ⋮ Supervised learning with indefinite topological Kernels

Cites Work

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• Embeddings of persistence diagrams into Hilbert spaces
• $\ell {\textunderscore }p$ ($p>2$) does not coarsely embed into a Hilbert space
• Coarse embeddings of metric spaces into Banach spaces
• Same But Different: Distance Correlations Between Topological Summaries

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