Cover refinements enable a near-linear-size approximation to the Vietoris-Rips filtration with unconditional log-3 interleaving that preserves persistent homology.
The Vietoris Mapping Theorem for Bicompact Spaces
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It's All About Covers: Persistent Homology of Cover Refinements
Cover refinements enable a near-linear-size approximation to the Vietoris-Rips filtration with unconditional log-3 interleaving that preserves persistent homology.