\(O(n)\)-invariant Riemannian metrics on SPD matrices

DOI10.1016/j.laa.2022.12.009OpenAlexW3200881064MaRDI QIDQ2682855

Xavier Pennec, Yann Thanwerdas

Publication date: 1 February 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05768

zbMATH Keywords

Riemannian geometrysymmetric positive definite matricesaffine-invariant metricinvariance under orthogonal transformationslog-Euclidean metrickernel metricsBures-Wasserstein metricfamilies of metrics

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Geodesics in global differential geometry (53C22) Quadratic and bilinear forms, inner products (15A63) Local Riemannian geometry (53B20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

Introduction to Riemannian Geometry and Geometric Statistics: From Basic Theory to Implementation with Geomstats ⋮ Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks ⋮ Characterization of invariant inner products

Uses Software

• geomstats

Cites Work

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