Torus principal component analysis with applications to RNA structure

DOI10.1214/17-AOAS1115zbMath1405.62173arXiv1511.04993OpenAlexW2964281304WikidataQ59883073 ScholiaQ59883073MaRDI QIDQ1624855

Kanti V. Mardia, Benjamin Eltzner, Stephan F. Huckemann

Publication date: 16 November 2018

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

Full work available at URL: https://arxiv.org/abs/1511.04993

zbMATH Keywords

dimension reductiondirectional statisticsdihedral anglesstatistics on manifoldsfitting small spheresprincipal nested spheres analysistori deformation

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of differential geometry to physics (53Z05)

Related Items (19)

Recent advances in directional statistics ⋮ Comments on: ``Recent advances in directional statistics ⋮ Rejoinder on: ``Recent advances in directional statistics ⋮ Kurtosis test of modality for rotationally symmetric distributions on hyperspheres ⋮ Density estimation for toroidal data using semiparametric mixtures ⋮ Finite Mixtures of Multivariate Wrapped Normal Distributions for Model Based Clustering of p -Torus Data ⋮ Scaled Torus Principal Component Analysis ⋮ Principal Boundary on Riemannian Manifolds ⋮ 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 ⋮ Estimation of parameters in multivariate wrapped models for data on a \(p\)-torus ⋮ Toroidal PCA via density ridges ⋮ Principal component analysis and clustering on manifolds ⋮ An infinitesimal probabilistic model for principal component analysis of manifold valued data ⋮ Clustering on the torus by conformal prediction ⋮ Response to `Fitting a folded normal distribution without EM' ⋮ Rejoinder: Fitting a folded normal distribution without EM ⋮ Functional random effects modeling of brain shape and connectivity

Uses Software

• GeoPCA
• MolProbity

Cites Work

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• Bayesian alignment using hierarchical models, with applications in protein bioinformatics

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