Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces

DOI10.1007/s41468-022-00091-9OpenAlexW3163616925MaRDI QIDQ2098096

Alex Elchesen, Peter Bubenik

Publication date: 17 November 2022

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10514

zbMATH Keywords

Radon measuresWasserstein distanceoptimal transportpersistent homologyGrothedieck groups

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Grothendieck groups (category-theoretic aspects) (18F30) Optimal transportation (49Q22)

Related Items

Universality of persistence diagrams and the bottleneck and Wasserstein distances ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence and its applications ⋮ Exact weights, path metrics, and algebraic Wasserstein distances ⋮ Homological approximations in persistence theory ⋮ On the Stability of Multigraded Betti Numbers and Hilbert Functions

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