Modelling persistence diagrams with planar point processes, and revealing topology with bagplots

DOI10.1007/s41468-019-00035-wzbMath1441.62936arXiv1808.05655OpenAlexW2966833803MaRDI QIDQ2324606

Sarit Agami, Robert J. Adler

Publication date: 11 September 2019

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05655

zbMATH Keywords

random fieldsGibbs distributiontopological inferencepersistence diagramapplied topologybagplotsreplicating statistical topology

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Inference from spatial processes (62M30) Nonparametric hypothesis testing (62G10) Persistent homology and applications, topological data analysis (55N31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Topological data analysis (62R40)

Related Items (6)

Functional summaries of persistence diagrams ⋮ ToFU: topology functional units for deep learning ⋮ Comparison of persistence diagrams ⋮ A random persistence diagram generator ⋮ Stochastic homology of Gaussian vs. non-Gaussian random fields: graphs towards Betti numbers and persistence diagrams ⋮ A look into chaos detection through topological data analysis

Uses Software

• ElemStatLearn
• CompPD

Cites Work

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