Wrapped Statistical Models on Manifolds: Motivations, The Case SE(n), and Generalization to Symmetric Spaces

DOI10.1007/978-3-030-77957-3_5OpenAlexW3160596403MaRDI QIDQ5021894

Emmanuel Chevallier, Nicolas Guigui

Publication date: 14 January 2022

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-77957-3_5

Mathematics Subject Classification ID

Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)

Cites Work

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• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• Injectivity radius for non-simply connected symmetric spaces via Cartan polyhedron
• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• Projection-like Retractions on Matrix Manifolds
• Gaussian Distributions on Riemannian Symmetric Spaces: Statistical Learning With Structured Covariance Matrices
• Kernel Density Estimation on Spaces of Gaussian Distributions and Symmetric Positive Definite Matrices
• Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
• Dispersion on a Sphere

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