Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: minimal smooth scaling-rotation curves in low dimensions

DOI10.1214/17-EJS1250zbMath1361.53061arXiv1602.01187OpenAlexW3103408166MaRDI QIDQ521342

David Groisser, Sungkyu Jung, Armin Schwartzman

Publication date: 7 April 2017

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01187

zbMATH Keywords

geodesicssymmetric groupstratified spaceseigen-decompositionscaling-rotation distancestatistics on manifolds

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Geodesics in global differential geometry (53C22) Global differential geometry (53C99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (5)

Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices ⋮ Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks ⋮ Statistics for data with geometric structure. Abstracts from the workshop held January 21--27, 2018 ⋮ Stochastic modelling of symmetric positive definite material tensors ⋮ Dynamic principal component analysis from a global perspective

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