Principal component analysis and clustering on manifolds
DOI10.1016/j.jmva.2021.104862OpenAlexW3214068148MaRDI QIDQ2062801
Henrik Wiechers, Benjamin Eltzner, Kanti V. Mardia, Stephan F. Huckemann
Publication date: 3 January 2022
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2021.104862
dimension reductionadaptive linkage clusteringcircular mode huntingmultivariate wrapped normalSARS-CoV-2 geometrystratified spherestorus PCA
Directional data; spatial statistics (62H11) Factor analysis and principal components; correspondence analysis (62H25) Statistics on manifolds (62R30) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Hypothesis testing in multivariate analysis (62H15)
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- On the folded normal distribution
- The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation
- Multiscale inference about a density
- Generalized Procrustes analysis
- Torus principal component analysis with applications to RNA structure
- Backward nested descriptors asymptotics with inference on stem cell differentiation
- Scale space view of curve estimation.
- Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space
- Barycentric subspace analysis on manifolds
- A smeary central limit theorem for manifolds with application to high-dimensional spheres
- Principal nested shape space analysis of molecular dynamics data
- Recent advances in directional statistics
- Comments on: ``Recent advances in directional statistics
- Analysis of principal nested spheres
- Two-Sample Bootstrap Hypothesis Tests for Three-Dimensional Labelled Landmark Data
- SiZer for Exploration of Structures in Curves
- Principal Flows
- Principal Boundary on Riemannian Manifolds
- Means in complete manifolds: uniqueness and approximation
- Horizontal Dimensionality Reduction and Iterated Frame Bundle Development
- Principal component analysis for Riemannian manifolds, with an application to triangular shape spaces
- Sur la liaison et la division des points d'un ensemble fini
- Comments on: ``Recent advances in directional statistics
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