Induced Matchings of Barcodes and the Algebraic Stability of Persistence

DOI10.1145/2582112.2582168zbMath1395.68289OpenAlexW2128510287MaRDI QIDQ4635560

Ulrich Bauer, Michael Lesnick

Publication date: 23 April 2018

Published in: Proceedings of the thirtieth annual symposium on Computational geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2582112.2582168

zbMATH Keywords

induced matchingpersistence moduleinterleaving distance

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Other homology theories in algebraic topology (55N35)

Related Items (20)

Geometric Approaches to Persistent Homology ⋮ Multiparameter Persistence Landscapes ⋮ On the Hofer–Zehnder conjecture on ℂPd via generating functions ⋮ Interleavings and matchings as representations ⋮ Persistent extensions and analogous bars: data-induced relations between persistence barcodes ⋮ Stable volumes for persistent homology ⋮ A directed persistent homology theory for dissimilarity functions ⋮ Approximation and convergence of the intrinsic volume ⋮ Inverse Problems in Topological Persistence ⋮ Computing the interleaving distance is NP-hard ⋮ Quantitative simplification of filtered simplicial complexes ⋮ The persistent homology of a sampled map: from a viewpoint of quiver representations ⋮ Parametrized homology via zigzag persistence ⋮ Theory of interleavings on categories with a flow ⋮ An approximate nerve theorem ⋮ Unnamed Item ⋮ A functorial Dowker theorem and persistent homology of asymmetric networks ⋮ A comparison framework for interleaved persistence modules ⋮ The reflection distance between zigzag persistence modules ⋮ Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

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