Estimation of Riemannian Barycentres

DOI10.1112/S1461157000001091zbMath1054.60011WikidataQ115255814 ScholiaQ115255814MaRDI QIDQ4827629

Huiling Le

Publication date: 18 November 2004

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/7/lms2004-002/

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Global differential geometry (53C99)

Related Items (12)

Rotation averaging ⋮ On the meaning of mean shape: manifold stability, locus and the two sample test ⋮ A stochastic algorithm finding generalized means on compact manifolds ⋮ Stochastic algorithms for computing means of probability measures ⋮ Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables ⋮ Advances in Geometric Statistics for Manifold Dimension Reduction ⋮ Barycentric subspace analysis on manifolds ⋮ Medians and means in Finsler geometry ⋮ Shape Spaces ⋮ Riemannian \(L^p\) averaging on Lie group of nonzero quaternions ⋮ Riemannian median and its estimation ⋮ On the measure of the cut locus of a Fréchet mean

Cites Work

• Equilibrium maps between metric spaces
• Intrinsic analysis of statistical estimation
• Locating Fréchet means with application to shape spaces
• Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
• Riemannian center of mass and mollifier smoothing
• Convexity and the Hemisphere
• On Fréchet means in simplex shape spaces
• Mean size-and-shapes and mean shapes: a geometric point of view
• Riemannian barycentres and geodesic convexity

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