Persistent homology detects curvature

DOI10.1088/1361-6420/ab4ac0OpenAlexW3105163539WikidataQ125585647 ScholiaQ125585647MaRDI QIDQ5213324

Dhruv Patel, Benjamin Whittle, Peter Bubenik, Michael B. Hull

Publication date: 3 February 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13196

zbMATH Keywords

topological data analysispersistent homologyaverage persistence landscape

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31)

Related Items (8)

Multiparameter Persistence Landscapes ⋮ Rigidity of terminal simplices in persistent homology ⋮ Statistical inference for persistent homology applied to simulated fMRI time series data ⋮ Persistent magnitude ⋮ Stochastic distance transform: theory, algorithms and applications ⋮ Topological data analysis of noise: uniform unimodal distributions ⋮ Moduli spaces of Morse functions for persistence ⋮ Persistent Homology of Geospatial Data: A Case Study with Voting

Uses Software

• Kernlab
• Persistence Landscape
• CliqueTop

Cites Work

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• Support Vector Machines
• Statistical topological data analysis using persistence landscapes

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