Characterization of invariant inner products

DOI10.1007/978-3-031-38271-0_38OpenAlexW4385435164MaRDI QIDQ6138143

Xavier Pennec, Yann Thanwerdas

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_38

zbMATH Keywords

group actionsinvariant inner products

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45)

Cites Work

• Unnamed Item
• Wasserstein geometry of Gaussian measures
• Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing
• Riemannian geometry for the statistical analysis of diffusion tensor data
• Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
• Wasserstein Riemannian geometry of Gaussian densities
• Geodesics and curvature of the quotient-affine metrics on full-rank correlation matrices
• On the Bures-Wasserstein distance between positive definite matrices
• The Bogoliubov inner product in quantum statistics
• A Riemannian framework for tensor computing
• \(O(n)\)-invariant Riemannian metrics on SPD matrices
• A Riemannian structure for correlation matrices
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

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