Scaffoldings and spines: organizing high-dimensional data using cover trees, local principal component analysis, and persistent homology

DOI10.1007/978-3-319-89593-2_6zbMath1405.62069arXiv1602.06245OpenAlexW2278918618MaRDI QIDQ1713432

Christopher J. Tralie, Paul Bendich, Ellen Gasparovic, John L. Harer

Publication date: 25 January 2019

Full work available at URL: https://arxiv.org/abs/1602.06245

zbMATH Keywords

persistent homologylocal principal component analysis

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Other homology theories in algebraic topology (55N35)

Related Items (6)

The number of simply-connected trivalent 2-dimensional stratifolds ⋮ 2-stratifold spines of closed 3-manifolds ⋮ String representation of trivalent 2-stratifolds with trivial fundamental group ⋮ On the homeomorphism problem of trivalent 2-stratifolds with finite homology groups ⋮ Models of simply-connected trivalent 2-dimensional stratifolds ⋮ 2-stratifolds with fundamental group \(\mathbb{Z} \)

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