On the topological data analysis extensions and comparisons

DOI10.1016/j.joems.2017.07.001zbMath1385.55005OpenAlexW2738056989MaRDI QIDQ1686386

Peng Zhang

Publication date: 22 December 2017

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2017.07.001

zbMATH Keywords

persistencehomologytopological data analysistesting hypotheseslandscape

Mathematics Subject Classification ID

Multivariate analysis (62H99) Other homology theories in algebraic topology (55N35) Abstract complexes in algebraic topology (55U05)

Uses Software

• TDA
• onewaytests
• geozoo

Cites Work

• Confidence sets for persistence diagrams
• Hypothesis testing for topological data analysis
• Permutation tests in shape analysis
• Similarity of samples and trimming
• \(k\)-sample test based on the common area of kernel density estimators
• Exploring uses of persistent homology for statistical analysis of landmark-based shape data
• Topological persistence and simplification
• Topology and data
• Stochastic Convergence of Persistence Landscapes and Silhouettes
• Persistence-Based Clustering in Riemannian Manifolds
• Statistical topological data analysis using persistence landscapes
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