Multidimensional persistence and noise

DOI10.1007/s10208-016-9323-yzbMath1422.55011arXiv1505.06929OpenAlexW370425311MaRDI QIDQ1692129

Wojciech Chachólski, Ryan Ramanujam, Martina Scolamiero, Anders Lundman, Sebastian Öberg

Publication date: 26 January 2018

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06929

zbMATH Keywords

multidimensional persistencestable invariantspersistence modulesnoise systems

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35)

Related Items (15)

Capturing dynamics of time-varying data via topology ⋮ Stratifications of real vector spaces from constructible sheaves with conical microsupport ⋮ Euler characteristic surfaces ⋮ Exact weights, path metrics, and algebraic Wasserstein distances ⋮ Computing the interleaving distance is NP-hard ⋮ Unnamed Item ⋮ Computing invariants for multipersistence via spectral systems and effective homology ⋮ Spatiotemporal persistent homology for dynamic metric spaces ⋮ A computational framework for connection matrix theory ⋮ Homotopical decompositions of simplicial and Vietoris Rips complexes ⋮ Computational Complexity of the Interleaving Distance ⋮ An approximate nerve theorem ⋮ Metrics and Stabilization in One Parameter Persistence ⋮ A brief introduction to multidimensional persistent Betti numbers ⋮ Stratifying Multiparameter Persistent Homology

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