Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees

DOI10.1093/biomet/asx047OpenAlexW2963866845WikidataQ49195544 ScholiaQ49195544MaRDI QIDQ5384548

Grady Weyenberg, Xiaoxian Tang, Ruriko Yoshida, Tom M. W. Nye

Publication date: 24 June 2019

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03045

zbMATH Keywords

principal component analysisphylogenetic treeFréchet meantree space

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10)

Related Items (12)

Information geometry for phylogenetic trees ⋮ Old and new challenges in Hadamard spaces ⋮ Weighted lens depth: Some applications to supervised classification ⋮ Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace ⋮ The space of equidistant phylogenetic cactuses ⋮ Shortest paths and convex hulls in 2D complexes with non-positive curvature ⋮ Tukey’s Depth for Object Data ⋮ Statistics for data with geometric structure. Abstracts from the workshop held January 21--27, 2018 ⋮ Statistical Methods Generalizing Principal Component Analysis to Non-Euclidean Spaces ⋮ Tropical principal component analysis and its application to phylogenetics ⋮ Model-free two-sample test for network-valued data ⋮ Wald space for phylogenetic trees

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