Principal components analysis in the space of phylogenetic trees

DOI10.1214/11-AOS915zbMath1231.62110arXiv1202.5132OpenAlexW3104688568MaRDI QIDQ661179

Tom M. W. Nye

Publication date: 21 February 2012

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5132

zbMATH Keywords

geodesicphylogenyprincipal component

Mathematics Subject Classification ID

Related Items (20)

Tree topologies along a tropical line segment ⋮ The space of ultrametric phylogenetic trees ⋮ Information geometry for phylogenetic trees ⋮ Consistency and convergence rate of phylogenetic inference via regularization ⋮ Convexity in Tree Spaces ⋮ Limiting behaviour of Fréchet means in the space of phylogenetic trees ⋮ Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace ⋮ Principal components analysis in the space of phylogenetic trees ⋮ Statistics for data with geometric structure. Abstracts from the workshop held January 21--27, 2018 ⋮ Random walks and Brownian motion on cubical complexes ⋮ New Gromov-inspired metrics on phylogenetic tree space ⋮ Convergence rates for the generalized Fréchet mean via the quadruple inequality ⋮ Geometry and statistics: manifolds and stratified spaces ⋮ Backwards principal component analysis and principal nested relations ⋮ Tree-oriented analysis of brain artery structure ⋮ Empirical geodesic graphs and CAT\((k)\) metrics for data analysis ⋮ Uncertainty in Phylogenetic Tree Estimates ⋮ Confidence Sets for Phylogenetic Trees ⋮ Consistency of a phylogenetic tree maximum likelihood estimator ⋮ Polyhedral computational geometry for averaging metric phylogenetic trees

Uses Software

• Seq-Gen

Cites Work

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• Principal components analysis in the space of phylogenetic trees
• A principal component analysis for trees
• Comparison of phylogenetic trees
• Geometry of the space of phylogenetic trees
• The median procedure for n-trees
• Approximating geodesic tree distance
• Object oriented data analysis: sets of trees
• Principal Curves
• Subtree transfer operations and their induced metrics on evolutionary trees

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