scientific article; zbMATH DE number 7559221

DOI10.4230/LIPIcs.SoCG.2019.21MaRDI QIDQ5088948

Ulrich Bauer, Mathieu Carrière

Publication date: 18 July 2022

Full work available at URL: https://arxiv.org/abs/1806.06924

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

topological data analysisHilbert space embeddingpersistence diagrams

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items

Geometric and probabilistic limit theorems in topological data analysis ⋮ 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 ⋮ Embeddings of persistence diagrams into Hilbert spaces ⋮ The space of persistence diagrams fails to have Yu's property A ⋮ Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric ⋮ The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space

Cites Work

• Fréchet means for distributions of persistence diagrams
• Stability of persistence diagrams
• Lectures on analysis on metric spaces
• Tropical coordinates on the space of persistence barcodes
• Induced Matchings and the Algebraic Stability of Persistence Barcodes
• Probability measures on the space of persistence diagrams
• The Structure and Stability of Persistence Modules
• Topology and data
• Kernel method for persistence diagrams via kernel embedding and weight factor
• Geometry Helps to Compare Persistence Diagrams
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Statistical topological data analysis using persistence landscapes
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