Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport
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Publication:2240088
DOI10.1007/s41468-020-00061-zzbMath1473.62408arXiv1901.03048OpenAlexW3094622830MaRDI QIDQ2240088
Publication date: 5 November 2021
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03048
Related Items (11)
Universality of persistence diagrams and the bottleneck and Wasserstein distances ⋮ Tropical optimal transport and Wasserstein distances ⋮ A framework for differential calculus on persistence barcodes ⋮ Persistence curves: a canonical framework for summarizing persistence diagrams ⋮ Approximating continuous functions on persistence diagrams using template functions ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Exact weights, path metrics, and algebraic Wasserstein distances ⋮ On the Stability of Multigraded Betti Numbers and Hilbert Functions ⋮ On the choice of weight functions for linear representations of persistence diagrams ⋮ Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces ⋮ Convergence of persistence diagram in the sparse regime
Uses Software
Cites Work
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